From 27c65aa881d6b91f048e01096f110b638c889d30 Mon Sep 17 00:00:00 2001 From: Egor Lyfar Date: Mon, 27 Jul 2026 18:58:53 +0800 Subject: [PATCH 1/8] Add Erdos 97 convex-octagon formalization --- LeanPool.lean | 109 ++++ LeanPool/Erdos97ConvexOctagon.lean | 18 + LeanPool/Erdos97ConvexOctagon/Basic.lean | 22 + .../Erdos97ConvexOctagon/CayleyMenger.lean | 84 +++ .../Erdos97ConvexOctagon/Certificates.lean | 378 ++++++++++++ .../Erdos97ConvexOctagon/Classification.lean | 43 ++ .../CoverageBranches.lean | 31 + .../Erdos97ConvexOctagon/CoverageData.lean | 147 +++++ .../Erdos97ConvexOctagon/CoverageData00.lean | 517 ++++++++++++++++ .../Erdos97ConvexOctagon/CoverageData01.lean | 461 ++++++++++++++ .../Erdos97ConvexOctagon/CoverageData02.lean | 497 ++++++++++++++++ .../Erdos97ConvexOctagon/CoverageData03.lean | 477 +++++++++++++++ .../Erdos97ConvexOctagon/CoverageData04.lean | 433 ++++++++++++++ .../Erdos97ConvexOctagon/CoverageData05.lean | 469 +++++++++++++++ .../Erdos97ConvexOctagon/CoverageData06.lean | 425 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData07.lean | 421 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData08.lean | 409 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData09.lean | 385 ++++++++++++ .../Erdos97ConvexOctagon/CoverageData10.lean | 437 ++++++++++++++ .../Erdos97ConvexOctagon/CoverageData11.lean | 385 ++++++++++++ .../Erdos97ConvexOctagon/CoverageData12.lean | 397 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData13.lean | 425 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData14.lean | 425 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData15.lean | 341 +++++++++++ .../Erdos97ConvexOctagon/CoverageData16.lean | 397 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData17.lean | 413 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData18.lean | 369 ++++++++++++ .../Erdos97ConvexOctagon/CoverageData19.lean | 369 ++++++++++++ .../Erdos97ConvexOctagon/CoverageData20.lean | 389 ++++++++++++ .../Erdos97ConvexOctagon/CoverageData21.lean | 425 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData22.lean | 421 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData23.lean | 373 ++++++++++++ .../Erdos97ConvexOctagon/CoverageData24.lean | 433 ++++++++++++++ .../Erdos97ConvexOctagon/CoverageData25.lean | 413 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData26.lean | 453 ++++++++++++++ .../Erdos97ConvexOctagon/CoverageData27.lean | 449 ++++++++++++++ .../Erdos97ConvexOctagon/CoverageData28.lean | 429 ++++++++++++++ .../Erdos97ConvexOctagon/CoverageData29.lean | 417 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData30.lean | 397 +++++++++++++ .../Erdos97ConvexOctagon/CoverageData31.lean | 473 +++++++++++++++ .../CoverageDataTypes.lean | 55 ++ .../Erdos97ConvexOctagon/CoverageFormula.lean | 488 +++++++++++++++ LeanPool/Erdos97ConvexOctagon/CycleStrip.lean | 161 +++++ .../Erdos97ConvexOctagon/EquidistantFour.lean | 102 ++++ .../Erdos97ConvexOctagon/FiniteModel.lean | 107 ++++ .../GeometryReduction.lean | 164 +++++ LeanPool/Erdos97ConvexOctagon/Gram.lean | 62 ++ LeanPool/Erdos97ConvexOctagon/Incidence.lean | 154 +++++ LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean | 483 +++++++++++++++ .../Erdos97ConvexOctagon/LRAT/Format.lean | 266 +++++++++ .../Erdos97ConvexOctagon/LRAT/Semantics.lean | 113 ++++ LeanPool/Erdos97ConvexOctagon/Main.lean | 23 + .../MasterCertificate.lean | 9 + .../MasterCertificateData0.lean | 517 ++++++++++++++++ .../MasterCertificateData1.lean | 517 ++++++++++++++++ .../MasterCertificateData10.lean | 517 ++++++++++++++++ .../MasterCertificateData11.lean | 517 ++++++++++++++++ .../MasterCertificateData12.lean | 517 ++++++++++++++++ .../MasterCertificateData13.lean | 517 ++++++++++++++++ .../MasterCertificateData14.lean | 517 ++++++++++++++++ .../MasterCertificateData15.lean | 517 ++++++++++++++++ .../MasterCertificateData16.lean | 242 ++++++++ .../MasterCertificateData2.lean | 517 ++++++++++++++++ .../MasterCertificateData3.lean | 517 ++++++++++++++++ .../MasterCertificateData4.lean | 517 ++++++++++++++++ .../MasterCertificateData5.lean | 517 ++++++++++++++++ .../MasterCertificateData6.lean | 517 ++++++++++++++++ .../MasterCertificateData7.lean | 517 ++++++++++++++++ .../MasterCertificateData8.lean | 517 ++++++++++++++++ .../MasterCertificateData9.lean | 517 ++++++++++++++++ .../MasterCertificateManifest.lean | 87 +++ .../MasterCertificateStage00.lean | 57 ++ .../MasterCertificateStage01.lean | 40 ++ .../MasterCertificateStage02.lean | 40 ++ .../MasterCertificateStage03.lean | 40 ++ .../MasterCertificateStage04.lean | 40 ++ .../MasterCertificateStage05.lean | 40 ++ .../MasterCertificateStage06.lean | 40 ++ .../MasterCertificateStage07.lean | 40 ++ .../MasterCertificateStage08.lean | 40 ++ .../MasterCertificateStage09.lean | 40 ++ .../MasterCertificateStage10.lean | 40 ++ .../MasterCertificateStage11.lean | 40 ++ .../MasterCertificateStage12.lean | 40 ++ .../MasterCertificateStage13.lean | 40 ++ .../MasterCertificateStage14.lean | 40 ++ .../MasterCertificateStage15.lean | 40 ++ .../Erdos97ConvexOctagon/MasterFormula.lean | 164 +++++ .../Erdos97ConvexOctagon/Obstructions.lean | 155 +++++ LeanPool/Erdos97ConvexOctagon/Pentagon.lean | 105 ++++ LeanPool/Erdos97ConvexOctagon/Radius.lean | 84 +++ LeanPool/Erdos97ConvexOctagon/Regenerate.lean | 560 ++++++++++++++++++ .../Erdos97ConvexOctagon/Relabelling.lean | 122 ++++ .../ResidualAlgebra00.lean | 99 ++++ .../ResidualAlgebra01.lean | 97 +++ .../ResidualAlgebra02.lean | 93 +++ .../ResidualAlgebra03.lean | 93 +++ .../ResidualAlgebra04.lean | 145 +++++ .../ResidualAlgebra05.lean | 173 ++++++ .../ResidualAlgebra06.lean | 113 ++++ .../ResidualAlgebra07.lean | 129 ++++ .../ResidualAlgebra08.lean | 101 ++++ .../ResidualAlgebra09.lean | 94 +++ .../ResidualAlgebra10.lean | 147 +++++ .../ResidualAlgebra11.lean | 555 +++++++++++++++++ .../ResidualAlgebra12.lean | 141 +++++ .../ResidualObstructions.lean | 46 ++ .../ResidualRepresentatives.lean | 144 +++++ LeanPool/Erdos97ConvexOctagon/RhombusFan.lean | 120 ++++ .../Erdos97ConvexOctagon/RowSymmetry.lean | 208 +++++++ LeanPool/projects.yml | 38 ++ 111 files changed, 29527 insertions(+) create mode 100644 LeanPool/Erdos97ConvexOctagon.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Basic.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CayleyMenger.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Certificates.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Classification.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageBranches.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData00.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData01.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData02.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData03.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData04.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData05.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData06.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData07.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData08.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData09.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData10.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData11.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData12.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData13.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData14.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData15.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData16.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData17.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData18.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData19.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData20.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData21.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData22.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData23.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData24.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData25.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData26.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData27.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData28.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData29.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData30.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageData31.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/CycleStrip.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/EquidistantFour.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/FiniteModel.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/GeometryReduction.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Gram.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Incidence.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/LRAT/Format.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/LRAT/Semantics.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Main.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData1.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData10.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData11.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData12.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData13.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData14.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData15.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData16.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData3.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData6.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData8.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData9.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterFormula.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Obstructions.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Pentagon.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Radius.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Regenerate.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/Relabelling.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra00.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra01.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra02.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra03.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra04.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra05.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra06.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra07.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra08.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra09.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra10.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra11.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualAlgebra12.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualObstructions.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/ResidualRepresentatives.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/RhombusFan.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/RowSymmetry.lean diff --git a/LeanPool.lean b/LeanPool.lean index b067ca79f..bbeb92085 100644 --- a/LeanPool.lean +++ b/LeanPool.lean @@ -790,6 +790,115 @@ import LeanPool.Erdos403 import LeanPool.Erdos403.Basic import LeanPool.Erdos403.FactBase import LeanPool.Erdos403.Sharp +import LeanPool.Erdos97ConvexOctagon +import LeanPool.Erdos97ConvexOctagon.Basic +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.Certificates +import LeanPool.Erdos97ConvexOctagon.Classification +import LeanPool.Erdos97ConvexOctagon.CoverageBranches +import LeanPool.Erdos97ConvexOctagon.CoverageData +import LeanPool.Erdos97ConvexOctagon.CoverageData00 +import LeanPool.Erdos97ConvexOctagon.CoverageData01 +import LeanPool.Erdos97ConvexOctagon.CoverageData02 +import LeanPool.Erdos97ConvexOctagon.CoverageData03 +import LeanPool.Erdos97ConvexOctagon.CoverageData04 +import LeanPool.Erdos97ConvexOctagon.CoverageData05 +import LeanPool.Erdos97ConvexOctagon.CoverageData06 +import LeanPool.Erdos97ConvexOctagon.CoverageData07 +import LeanPool.Erdos97ConvexOctagon.CoverageData08 +import LeanPool.Erdos97ConvexOctagon.CoverageData09 +import LeanPool.Erdos97ConvexOctagon.CoverageData10 +import LeanPool.Erdos97ConvexOctagon.CoverageData11 +import LeanPool.Erdos97ConvexOctagon.CoverageData12 +import LeanPool.Erdos97ConvexOctagon.CoverageData13 +import LeanPool.Erdos97ConvexOctagon.CoverageData14 +import LeanPool.Erdos97ConvexOctagon.CoverageData15 +import LeanPool.Erdos97ConvexOctagon.CoverageData16 +import LeanPool.Erdos97ConvexOctagon.CoverageData17 +import LeanPool.Erdos97ConvexOctagon.CoverageData18 +import LeanPool.Erdos97ConvexOctagon.CoverageData19 +import LeanPool.Erdos97ConvexOctagon.CoverageData20 +import LeanPool.Erdos97ConvexOctagon.CoverageData21 +import LeanPool.Erdos97ConvexOctagon.CoverageData22 +import LeanPool.Erdos97ConvexOctagon.CoverageData23 +import LeanPool.Erdos97ConvexOctagon.CoverageData24 +import LeanPool.Erdos97ConvexOctagon.CoverageData25 +import LeanPool.Erdos97ConvexOctagon.CoverageData26 +import LeanPool.Erdos97ConvexOctagon.CoverageData27 +import LeanPool.Erdos97ConvexOctagon.CoverageData28 +import LeanPool.Erdos97ConvexOctagon.CoverageData29 +import LeanPool.Erdos97ConvexOctagon.CoverageData30 +import LeanPool.Erdos97ConvexOctagon.CoverageData31 +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes +import LeanPool.Erdos97ConvexOctagon.CoverageFormula +import LeanPool.Erdos97ConvexOctagon.CycleStrip +import LeanPool.Erdos97ConvexOctagon.EquidistantFour +import LeanPool.Erdos97ConvexOctagon.FiniteModel +import LeanPool.Erdos97ConvexOctagon.GeometryReduction +import LeanPool.Erdos97ConvexOctagon.Gram +import LeanPool.Erdos97ConvexOctagon.Incidence +import LeanPool.Erdos97ConvexOctagon.LRAT.Elab +import LeanPool.Erdos97ConvexOctagon.LRAT.Format +import LeanPool.Erdos97ConvexOctagon.LRAT.Semantics +import LeanPool.Erdos97ConvexOctagon.Main +import LeanPool.Erdos97ConvexOctagon.MasterCertificate +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData0 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData1 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData10 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData11 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData12 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData13 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData14 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData15 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData16 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData2 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData3 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData4 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData5 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData6 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData7 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData8 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData9 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateManifest +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage00 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage01 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage02 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage03 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage04 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage05 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage06 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage07 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage08 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage09 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage10 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage11 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage12 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage13 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage14 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage15 +import LeanPool.Erdos97ConvexOctagon.MasterFormula +import LeanPool.Erdos97ConvexOctagon.Obstructions +import LeanPool.Erdos97ConvexOctagon.Pentagon +import LeanPool.Erdos97ConvexOctagon.Radius +import LeanPool.Erdos97ConvexOctagon.Regenerate +import LeanPool.Erdos97ConvexOctagon.Relabelling +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra00 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra01 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra02 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra03 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra04 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra05 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra06 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra07 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra08 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra09 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra10 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra11 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra12 +import LeanPool.Erdos97ConvexOctagon.ResidualObstructions +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives +import LeanPool.Erdos97ConvexOctagon.RhombusFan +import LeanPool.Erdos97ConvexOctagon.RowSymmetry import LeanPool.ErdosTuzaValtr import LeanPool.ErdosTuzaValtr.All import LeanPool.ErdosTuzaValtr.Config.Default diff --git a/LeanPool/Erdos97ConvexOctagon.lean b/LeanPool/Erdos97ConvexOctagon.lean new file mode 100644 index 000000000..52e0a59e6 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon.lean @@ -0,0 +1,18 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Main + +/-! +# The Convex-Octagon Case of Erdős Problem 97 + +Source: doi:10.1080/00029890.1946.11991674, url:https://www.erdosproblems.com/97 +Authors: Egor Lyfar +Status: verified +Main declarations: `Erdos97Octagon.erdos97_convex_octagon` +Tags: discrete-geometry, distance-geometry, erdos-problems, convexity +MSC: 51K05, 52A10 +-/ diff --git a/LeanPool/Erdos97ConvexOctagon/Basic.lean b/LeanPool/Erdos97ConvexOctagon/Basic.lean new file mode 100644 index 000000000..1cab0edcc --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Basic.lean @@ -0,0 +1,22 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import Mathlib.Analysis.InnerProductSpace.PiL2 +import Mathlib.Analysis.InnerProductSpace.Basic +import Mathlib.LinearAlgebra.Dimension.Finite +import Mathlib.LinearAlgebra.LinearIndependent.Defs + +/-! # Erdős 97 convex-octagon formalization: Basic -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace +open Module + +/-- The Euclidean plane, represented as `EuclideanSpace ℝ (Fin 2)`. -/ +abbrev Plane := EuclideanSpace ℝ (Fin 2) + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/CayleyMenger.lean b/LeanPool/Erdos97ConvexOctagon/CayleyMenger.lean new file mode 100644 index 000000000..bc9d18cc8 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CayleyMenger.lean @@ -0,0 +1,84 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Gram + +/-! # Erdős 97 convex-octagon formalization: Cayley Menger -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace + +/-- Squared Euclidean distance. -/ +noncomputable def sqDist (a b : Plane) : ℝ := dist a b ^ 2 + +/-- The four-point Cayley--Menger polynomial in its six squared distances. -/ +def cm4 (A B C D E F : ℝ) : ℝ := + -2 * A ^ 2 * F - 2 * A * B * D + 2 * A * B * E + 2 * A * B * F + + 2 * A * C * D - 2 * A * C * E + 2 * A * C * F + 2 * A * D * F + + 2 * A * E * F - 2 * A * F ^ 2 - 2 * B ^ 2 * E + 2 * B * C * D + + 2 * B * C * E - 2 * B * C * F + 2 * B * D * E - 2 * B * E ^ 2 + + 2 * B * E * F - 2 * C ^ 2 * D - 2 * C * D ^ 2 + 2 * C * D * E + + 2 * C * D * F - 2 * D * E * F + +/-- Polarisation expresses an inner product through three squared distances. -/ +theorem inner_sub_sub_eq + (a b c : Plane) : + ⟪b - a, c - a⟫_ℝ = (sqDist a b + sqDist a c - sqDist b c) / 2 := by + have hsub : (b - a) - (c - a) = b - c := by abel + have h := norm_sub_sq_real (b - a) (c - a) + rw [hsub, ← dist_eq_norm, ← dist_eq_norm, ← dist_eq_norm] at h + simp only [sqDist] + rw [dist_comm b a, dist_comm c a] at h + nlinarith + +/-- Four planar points have vanishing Cayley--Menger determinant. -/ +theorem cm4_sqDist_eq_zero (a b c d : Plane) : + cm4 (sqDist a b) (sqDist a c) (sqDist a d) + (sqDist b c) (sqDist b d) (sqDist c d) = 0 := by + have h := gram_det_eq_zero ![b - a, c - a, d - a] + rw [gram3_expand] at h + have n1 : ⟪b - a, b - a⟫_ℝ = sqDist a b := by + rw [real_inner_self_eq_norm_sq, ← dist_eq_norm] + simp only [sqDist, dist_comm b a] + have n2 : ⟪c - a, c - a⟫_ℝ = sqDist a c := by + rw [real_inner_self_eq_norm_sq, ← dist_eq_norm] + simp only [sqDist, dist_comm c a] + have n3 : ⟪d - a, d - a⟫_ℝ = sqDist a d := by + rw [real_inner_self_eq_norm_sq, ← dist_eq_norm] + simp only [sqDist, dist_comm d a] + have i12 := inner_sub_sub_eq a b c + have i13 := inner_sub_sub_eq a b d + have i23 := inner_sub_sub_eq a c d + have i21 : ⟪c - a, b - a⟫_ℝ = + (sqDist a b + sqDist a c - sqDist b c) / 2 := by + rw [real_inner_comm] + exact i12 + have i31 : ⟪d - a, b - a⟫_ℝ = + (sqDist a b + sqDist a d - sqDist b d) / 2 := by + rw [real_inner_comm] + exact i13 + have i32 : ⟪d - a, c - a⟫_ℝ = + (sqDist a c + sqDist a d - sqDist c d) / 2 := by + rw [real_inner_comm] + exact i23 + rw [n1, n2, n3, i12, i13, i23, i21, i31, i32] at h + dsimp [cm4] + ring_nf at h ⊢ + linarith + +/-- The Cayley--Menger identity remains zero after dividing all squared +distances by one common nonzero scale. -/ +theorem cm4_normalized_eq_zero + (a b c d : Plane) {s : ℝ} (hs : s ≠ 0) : + cm4 (sqDist a b / s) (sqDist a c / s) (sqDist a d / s) + (sqDist b c / s) (sqDist b d / s) (sqDist c d / s) = 0 := by + have h := cm4_sqDist_eq_zero a b c d + dsimp [cm4] at h ⊢ + field_simp [hs] + nlinarith + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/Certificates.lean b/LeanPool/Erdos97ConvexOctagon/Certificates.lean new file mode 100644 index 000000000..df15f02dd --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Certificates.lean @@ -0,0 +1,378 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.FiniteModel +import LeanPool.Erdos97ConvexOctagon.Obstructions +import LeanPool.Erdos97ConvexOctagon.ResidualObstructions + +/-! # Erdős 97 convex-octagon formalization: Certificates -/ + +namespace Erdos97Octagon + +namespace RawIncidence + +/-- A finite witness emitted by the obstruction classifier. -/ +inductive Certificate where + | k4 (root : Vertex) (component : List Vertex) (a b c d : Vertex) + | hubPentagon (root : Vertex) (component : List Vertex) (o a b c d e : Vertex) + | sharedThree (a b q1 q2 q3 : Vertex) + | cycleStrip (root : Vertex) (component : List Vertex) (o x1 x2 x3 x4 x5 x6 : Vertex) + | residual (payload : UInt64) + deriving DecidableEq + +/-- The two obstruction shapes that remain valid when incidences are added. -/ +inductive PrefixCertificate where + | k4 (root : Vertex) (component : List Vertex) (a b c d : Vertex) + | sharedThree (a b q1 q2 q3 : Vertex) + deriving DecidableEq + +/-- Regard a monotone prefix witness as a general obstruction certificate. -/ +def PrefixCertificate.toCertificate : PrefixCertificate → Certificate + | .k4 root component a b c d => .k4 root component a b c d + | .sharedThree a b q1 q2 q3 => .sharedThree a b q1 q2 q3 + +/-- Validate the tail of an ordered mutual-edge spanning tree. -/ +def extendsTreeB + (R : RawIncidence) (reached : Finset Vertex) : List Vertex → Bool + | [] => true + | v :: todo => + decide (v ∉ reached) && + decide (∃ u ∈ reached, v ∈ R u ∧ u ∈ R v) && + extendsTreeB R (insert v reached) todo + +/-- Check that the listed vertices form an ordered mutual-edge spanning tree. -/ +def componentTreeB (R : RawIncidence) (root : Vertex) : List Vertex → Bool + | [] => false + | first :: rest => decide (first = root) && extendsTreeB R {root} rest + +/-- A selected edge whose selecting endpoint occurs in a validated tree. -/ +def TreeLabelledEdge (R : RawIncidence) (component : List Vertex) (a b : Vertex) : Prop := + (a ∈ component ∧ b ∈ R a) ∨ (b ∈ component ∧ a ∈ R b) + +instance (R : RawIncidence) (component : List Vertex) (a b : Vertex) : + Decidable (TreeLabelledEdge R component a b) := by + unfold TreeLabelledEdge + infer_instance + +/-- The class number stored in a residual-isomorphism payload. -/ +def payloadClass (payload : UInt64) : ℕ := + (payload &&& 15).toNat + +/-- The forward permutation stored in a residual-isomorphism payload. -/ +def payloadForwardCode (payload : UInt64) : UInt64 := + (payload >>> 4) &&& 0xffffff + +/-- The inverse permutation stored in a residual-isomorphism payload. -/ +def payloadInverseCode (payload : UInt64) : UInt64 := + (payload >>> 28) &&& 0xffffff + +/-- Decode one three-bit entry of a packed permutation. -/ +def decodeMap (code : UInt64) (v : Vertex) : Vertex := + Fin.ofNat 8 (((code >>> UInt64.ofNat (3 * v.val)) &&& 7).toNat) + +/-- The mathematical proposition checked for each emitted finite witness. -/ +def Certificate.Valid (R : RawIncidence) : Certificate → Prop + | .k4 root component a b c d => + componentTreeB R root component = true ∧ [a, b, c, d].Nodup ∧ + TreeLabelledEdge R component a b ∧ TreeLabelledEdge R component a c ∧ + TreeLabelledEdge R component a d ∧ TreeLabelledEdge R component b c ∧ + TreeLabelledEdge R component b d ∧ TreeLabelledEdge R component c d + | .hubPentagon root component o a b c d e => + componentTreeB R root component = true ∧ [o, a, b, c, d, e].Nodup ∧ + TreeLabelledEdge R component o a ∧ TreeLabelledEdge R component o b ∧ + TreeLabelledEdge R component o c ∧ TreeLabelledEdge R component o d ∧ + TreeLabelledEdge R component o e ∧ TreeLabelledEdge R component a b ∧ + TreeLabelledEdge R component b c ∧ TreeLabelledEdge R component c d ∧ + TreeLabelledEdge R component d e ∧ TreeLabelledEdge R component e a + | .sharedThree a b q1 q2 q3 => + a ≠ b ∧ q1 ≠ q2 ∧ q1 ≠ q3 ∧ q2 ≠ q3 ∧ + q1 ∈ R a ∧ q2 ∈ R a ∧ q3 ∈ R a ∧ + q1 ∈ R b ∧ q2 ∈ R b ∧ q3 ∈ R b + | .cycleStrip root component o x1 x2 x3 x4 x5 x6 => + componentTreeB R root component = true ∧ [o, x1, x2, x3, x4, x5, x6].Nodup ∧ + TreeLabelledEdge R component o x1 ∧ TreeLabelledEdge R component o x2 ∧ + TreeLabelledEdge R component o x6 ∧ TreeLabelledEdge R component x1 x2 ∧ + TreeLabelledEdge R component x1 x3 ∧ TreeLabelledEdge R component x2 x3 ∧ + TreeLabelledEdge R component x2 x4 ∧ TreeLabelledEdge R component x3 x4 ∧ + TreeLabelledEdge R component x3 x5 ∧ TreeLabelledEdge R component x4 x5 ∧ + TreeLabelledEdge R component x4 x6 ∧ TreeLabelledEdge R component x5 x6 + | .residual payload => + let classIndex := payloadClass payload + let forward := decodeMap (payloadForwardCode payload) + let inverse := decodeMap (payloadInverseCode payload) + classIndex < 13 ∧ + (∀ v, inverse (forward v) = v) ∧ + (∀ v, forward (inverse v) = v) ∧ + ∀ v w, w ∈ R v ↔ + forward w ∈ (residualRepresentative (Fin.ofNat 13 classIndex)).targets (forward v) + +instance (R : RawIncidence) (certificate : Certificate) : + Decidable (certificate.Valid R) := by + cases certificate <;> simp only [Certificate.Valid] <;> infer_instance + +private def residualValidB (R : RawIncidence) (payload : UInt64) : Bool := + let classIndex := payloadClass payload + let forward := decodeMap (payloadForwardCode payload) + let inverse := decodeMap (payloadInverseCode payload) + decide (classIndex < 13) && + (List.finRange 8).all (fun v => decide (inverse (forward v) = v)) && + (List.finRange 8).all (fun v => decide (forward (inverse v) = v)) && + (List.finRange 8).all (fun v => + (List.finRange 8).all (fun w => decide (w ∈ R v ↔ + forward w ∈ + (residualRepresentative (Fin.ofNat 13 classIndex)).targets (forward v)))) + +/-- Kernel-check the mathematical content of an emitted witness. -/ +def Certificate.validB (R : RawIncidence) : Certificate → Bool + | .residual payload => residualValidB R payload + | certificate => decide (certificate.Valid R) + +/-- The Boolean validator implies the mathematical certificate predicate. -/ +theorem Certificate.valid_of_validB + {R : RawIncidence} {certificate : Certificate} + (hvalid : certificate.validB R = true) : certificate.Valid R := by + cases certificate with + | residual payload => + simp only [Certificate.validB, residualValidB, Bool.and_eq_true] at hvalid + rcases hvalid with ⟨⟨⟨hclass, hleft⟩, hright⟩, hedges⟩ + refine ⟨of_decide_eq_true hclass, ?_, ?_, ?_⟩ + · intro v + exact of_decide_eq_true ((List.all_eq_true.mp hleft) v (List.mem_finRange v)) + · intro v + exact of_decide_eq_true ((List.all_eq_true.mp hright) v (List.mem_finRange v)) + · intro v w + have hv := (List.all_eq_true.mp hedges) v (List.mem_finRange v) + exact of_decide_eq_true ((List.all_eq_true.mp hv) w (List.mem_finRange w)) + | k4 root component a b c d => exact of_decide_eq_true hvalid + | hubPentagon root component o a b c d e => exact of_decide_eq_true hvalid + | sharedThree a b q1 q2 q3 => exact of_decide_eq_true hvalid + | cycleStrip root component o x1 x2 x3 x4 x5 x6 => exact of_decide_eq_true hvalid + +/-- One incidence table extends another when it contains every selected edge. -/ +def Extends (R S : RawIncidence) : Prop := + ∀ centre target, target ∈ R centre → target ∈ S centre + +private theorem extendsTreeB_mono {R S : RawIncidence} (hRS : Extends R S) : + ∀ reached todo, extendsTreeB R reached todo = true → + extendsTreeB S reached todo = true := by + intro reached todo + induction todo generalizing reached with + | nil => simp [extendsTreeB] + | cons v todo ih => + intro htree + simp only [extendsTreeB, Bool.and_eq_true, decide_eq_true_eq] at htree ⊢ + rcases htree with ⟨⟨hv, u, hu, hvu, huv⟩, hrest⟩ + exact ⟨⟨hv, u, hu, hRS u v hvu, hRS v u huv⟩, + ih (insert v reached) hrest⟩ + +private theorem componentTreeB_mono {R S : RawIncidence} (hRS : Extends R S) + {root component} (htree : componentTreeB R root component = true) : + componentTreeB S root component = true := by + cases component with + | nil => simp [componentTreeB] at htree + | cons first rest => + simp only [componentTreeB, Bool.and_eq_true] at htree ⊢ + exact ⟨htree.1, extendsTreeB_mono hRS {root} rest htree.2⟩ + +private theorem treeLabelledEdge_mono {R S : RawIncidence} (hRS : Extends R S) + {component a b} (hedge : TreeLabelledEdge R component a b) : + TreeLabelledEdge S component a b := by + rcases hedge with ⟨ha, hab⟩ | ⟨hb, hba⟩ + · exact Or.inl ⟨ha, hRS a b hab⟩ + · exact Or.inr ⟨hb, hRS b a hba⟩ + +/-- A prefix certificate remains valid in every incidence extension. -/ +theorem PrefixCertificate.valid_mono + {R S : RawIncidence} {certificate : PrefixCertificate} + (hRS : Extends R S) (hvalid : certificate.toCertificate.Valid R) : + certificate.toCertificate.Valid S := by + cases certificate with + | k4 root component a b c d => + simp only [PrefixCertificate.toCertificate, Certificate.Valid] at hvalid ⊢ + rcases hvalid with ⟨htree, hnodup, hab, hac, had, hbc, hbd, hcd⟩ + exact ⟨componentTreeB_mono hRS htree, hnodup, + treeLabelledEdge_mono hRS hab, treeLabelledEdge_mono hRS hac, + treeLabelledEdge_mono hRS had, treeLabelledEdge_mono hRS hbc, + treeLabelledEdge_mono hRS hbd, treeLabelledEdge_mono hRS hcd⟩ + | sharedThree a b q1 q2 q3 => + simp only [PrefixCertificate.toCertificate, Certificate.Valid] at hvalid ⊢ + rcases hvalid with ⟨hab, h12, h13, h23, ha1, ha2, ha3, hb1, hb2, hb3⟩ + exact ⟨hab, h12, h13, h23, hRS a q1 ha1, hRS a q2 ha2, + hRS a q3 ha3, hRS b q1 hb1, hRS b q2 hb2, hRS b q3 hb3⟩ + +private theorem extendsTree_sameComponent + (Q : OctagonIncidence) (root : Vertex) : + ∀ (reached : Finset Vertex) (todo : List Vertex), + (∀ v ∈ reached, Q.SameComponent root v) → + extendsTreeB Q.targets reached todo = true → + ∀ v ∈ todo, Q.SameComponent root v := by + intro reached todo + induction todo generalizing reached with + | nil => simp + | cons v todo ih => + intro hreach htree + simp only [extendsTreeB, Bool.and_eq_true, decide_eq_true_eq] at htree + obtain ⟨u, hu, huv⟩ := htree.1.2 + have hv : Q.SameComponent root v := (hreach u hu).tail huv + have hreach' : ∀ w ∈ insert v reached, Q.SameComponent root w := by + intro w hw + rcases Finset.mem_insert.mp hw with rfl | hw + · exact hv + · exact hreach w hw + have htodo := ih (insert v reached) hreach' htree.2 + intro w hw + rcases List.mem_cons.mp hw with rfl | hw + · exact hv + · exact htodo w hw + +/-- Every vertex in a validated ordered tree belongs to the root component. -/ +theorem componentTree_sameComponent + (Q : OctagonIncidence) {root : Vertex} {component : List Vertex} + (htree : componentTreeB Q.targets root component = true) + {v : Vertex} (hv : v ∈ component) : + Q.SameComponent root v := by + cases component with + | nil => simp [componentTreeB] at htree + | cons first rest => + simp only [componentTreeB, Bool.and_eq_true, decide_eq_true_eq] at htree + have hfirst : first = root := htree.1 + subst first + rcases List.mem_cons.mp hv with rfl | hv + · exact Relation.ReflTransGen.refl + · apply extendsTree_sameComponent Q root {root} rest + (fun w hw => by + have : w = root := by simpa using hw + subst w + exact Relation.ReflTransGen.refl) htree.2 v hv + +/-- Every tree-labelled checker edge is a genuine component-radius edge. -/ +theorem treeLabelledEdge_sound + (Q : OctagonIncidence) {root : Vertex} {component : List Vertex} + (htree : componentTreeB Q.targets root component = true) + {a b : Vertex} (h : TreeLabelledEdge Q.targets component a b) : + Q.LabelledEdge root a b := by + rcases h with ⟨ha, hab⟩ | ⟨hb, hba⟩ + · exact Or.inl ⟨componentTree_sameComponent Q htree ha, hab⟩ + · exact Or.inr ⟨componentTree_sameComponent Q htree hb, hba⟩ + +private theorem finOfNat_eq_of_lt {n a : ℕ} [NeZero n] (h : a < n) : + Fin.ofNat n a = ⟨a, h⟩ := by + apply Fin.ext + simp [Nat.mod_eq_of_lt h] + +private theorem residual_relabel_eq + (Q : OctagonIncidence) (payload : UInt64) + (hvalid : (Certificate.residual payload).Valid Q.targets) : + ∃ classIndex : Fin 13, ∃ e : Vertex ≃ Vertex, + Q.relabel e = residualRepresentative classIndex := by + simp only [Certificate.Valid] at hvalid + let classIndex : Fin 13 := ⟨payloadClass payload, hvalid.1⟩ + let forward := decodeMap (payloadForwardCode payload) + let inverse := decodeMap (payloadInverseCode payload) + let e : Vertex ≃ Vertex := Equiv.mk forward inverse + (left_inv := hvalid.2.1) (right_inv := hvalid.2.2.1) + have hright (x : Vertex) : forward (inverse x) = x := hvalid.2.2.1 x + refine ⟨classIndex, e, ?_⟩ + apply OctagonIncidence.ext + funext v + ext w + have hedge := hvalid.2.2.2 (e.symm v) (e.symm w) + have hindex : Fin.ofNat 13 (payloadClass payload) = classIndex := + finOfNat_eq_of_lt hvalid.1 + change w ∈ (Q.targets (e.symm v)).map e.toEmbedding ↔ + w ∈ (residualRepresentative classIndex).targets v + rw [Finset.mem_map] + constructor + · rintro ⟨x, hx, hxw⟩ + have hxeq : x = e.symm w := by + apply e.injective + simpa using hxw + subst x + have := hedge.mp hx + change forward (inverse w) ∈ + (residualRepresentative (Fin.ofNat 13 (payloadClass payload))).targets + (forward (inverse v)) at this + rw [hright w, hright v, hindex] at this + exact this + · intro hw + refine ⟨e.symm w, ?_, by simp⟩ + apply hedge.mpr + change forward (inverse w) ∈ + (residualRepresentative (Fin.ofNat 13 (payloadClass payload))).targets + (forward (inverse v)) + rw [hright w, hright v, hindex] + exact hw + +/-- Every validated finite witness contradicts a convex planar realisation. -/ +theorem Certificate.not_convex_realises + {Q : OctagonIncidence} (certificate : Certificate) + (hvalid : certificate.Valid Q.targets) + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) (hR : Realises p Q) : + False := by + cases certificate with + | k4 root component a b c d => + simp only [Certificate.Valid] at hvalid + rcases hvalid with ⟨htree, hnodup, hab, hac, hadge, hbc, hbd, hcd⟩ + have had : a ≠ d := by + intro had + subst d + simp at hnodup + exact no_labelled_k4 hC.injective hR had + (treeLabelledEdge_sound Q htree hab) + (treeLabelledEdge_sound Q htree hac) + (treeLabelledEdge_sound Q htree hadge) + (treeLabelledEdge_sound Q htree hbc) + (treeLabelledEdge_sound Q htree hbd) + (treeLabelledEdge_sound Q htree hcd) + | hubPentagon root component o a b c d e => + simp only [Certificate.Valid] at hvalid + rcases hvalid with + ⟨htree, _hnodup, hoa, hob, hoc, hod, hoe, hab, hbc, hcd, hde, hea⟩ + exact no_labelled_hub_pentagon hC.injective hR + (treeLabelledEdge_sound Q htree hoa) + (treeLabelledEdge_sound Q htree hob) + (treeLabelledEdge_sound Q htree hoc) + (treeLabelledEdge_sound Q htree hod) + (treeLabelledEdge_sound Q htree hoe) + (treeLabelledEdge_sound Q htree hab) + (treeLabelledEdge_sound Q htree hbc) + (treeLabelledEdge_sound Q htree hcd) + (treeLabelledEdge_sound Q htree hde) + (treeLabelledEdge_sound Q htree hea) + | sharedThree a b q1 q2 q3 => + simp only [Certificate.Valid] at hvalid + exact no_three_shared_targets hC hR hvalid.1 hvalid.2.1 + hvalid.2.2.1 hvalid.2.2.2.1 hvalid.2.2.2.2.1 + hvalid.2.2.2.2.2.1 hvalid.2.2.2.2.2.2.1 + hvalid.2.2.2.2.2.2.2.1 hvalid.2.2.2.2.2.2.2.2.1 + hvalid.2.2.2.2.2.2.2.2.2 + | cycleStrip root component o x1 x2 x3 x4 x5 x6 => + simp only [Certificate.Valid] at hvalid + rcases hvalid with + ⟨htree, _hnodup, e01, e02, e06, e12, e13, e23, e24, e34, e35, e45, e46, e56⟩ + exact no_labelled_cycle_square_strip hC.injective hR + (treeLabelledEdge_sound Q htree e01) + (treeLabelledEdge_sound Q htree e02) + (treeLabelledEdge_sound Q htree e06) + (treeLabelledEdge_sound Q htree e12) + (treeLabelledEdge_sound Q htree e13) + (treeLabelledEdge_sound Q htree e23) + (treeLabelledEdge_sound Q htree e24) + (treeLabelledEdge_sound Q htree e34) + (treeLabelledEdge_sound Q htree e35) + (treeLabelledEdge_sound Q htree e45) + (treeLabelledEdge_sound Q htree e46) + (treeLabelledEdge_sound Q htree e56) + | residual payload => + obtain ⟨classIndex, e, he⟩ := residual_relabel_eq Q payload hvalid + have hC' := convexIndependent_relabel hC e + have hR' := realises_relabel hR e + rw [he] at hR' + exact residualRepresentative_not_convex_realises classIndex hC' hR' + +end RawIncidence + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/Classification.lean b/LeanPool/Erdos97ConvexOctagon/Classification.lean new file mode 100644 index 000000000..6afb8f8ca --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Classification.lean @@ -0,0 +1,43 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageBranches + +/-! +# Exhaustive normalized-incidence classification + +The 35 possible first rows reduce to seven symmetry orbits. One master LRAT +certificate excludes all seven canonical rows, and every clause has an audited +semantic proof in `CoverageFormula`. +-/ + +namespace Erdos97Octagon + +open RawIncidence + +/-- No normalized octagon incidence table has a convex planar realisation. -/ +theorem normalized_convex_realisation_impossible + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) (hN : Q.Normalized) : + False := by + obtain ⟨rowOneIndex, hrowOne⟩ := exists_rowOneIndex Q + obtain ⟨orbit, p', Q', hC', hR', hN', hSparse', hBalanced', hcanonical⟩ := + canonicalize_rowOne hC hR hN rowOneIndex hrowOne + exact canonicalBranch_impossible hC' hR' hN' hSparse' hBalanced' + orbit hcanonical + +/-- A convex-independent labelled octagon has a vertex that does not have +four other labelled vertices at one common distance. -/ +theorem erdos97_convex_octagon + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) : + ∃ vertex, ¬HasFourEquidistant p vertex := by + by_contra hall + push Not at hall + obtain ⟨p', Q, hC', hR', hN, _hSparse, _hBalanced⟩ := + normalized_reduction_of_all_hasFour hC hall + exact normalized_convex_realisation_impossible hC' hR' hN + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageBranches.lean b/LeanPool/Erdos97ConvexOctagon/CoverageBranches.lean new file mode 100644 index 000000000..7195cf3fa --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageBranches.lean @@ -0,0 +1,31 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificate + +/-! +# Master coverage contradiction + +One kernel-checked certificate excludes all seven canonical first rows at once. +-/ + +namespace Erdos97Octagon.RawIncidence + +open LRAT + +/-- Every normalized counterexample with a canonical first row contradicts +the master LRAT certificate. -/ +theorem canonicalBranch_impossible + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) + (hN : Q.Normalized) (hSparse : Q.PairSparse) (hBalanced : Q.Balanced) + (rowOneIndex : Fin 7) + (hrowOne : Q.targets 1 = packedRow (canonicalRowMask rowOneIndex)) : + False := + masterFormula_unsatisfiable (valuation Q.targets) + (masterFormula_satisfied hC hR hN hSparse hBalanced rowOneIndex hrowOne) + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData.lean new file mode 100644 index 000000000..31f4e1702 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData.lean @@ -0,0 +1,147 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageData00 +import LeanPool.Erdos97ConvexOctagon.CoverageData01 +import LeanPool.Erdos97ConvexOctagon.CoverageData02 +import LeanPool.Erdos97ConvexOctagon.CoverageData03 +import LeanPool.Erdos97ConvexOctagon.CoverageData04 +import LeanPool.Erdos97ConvexOctagon.CoverageData05 +import LeanPool.Erdos97ConvexOctagon.CoverageData06 +import LeanPool.Erdos97ConvexOctagon.CoverageData07 +import LeanPool.Erdos97ConvexOctagon.CoverageData08 +import LeanPool.Erdos97ConvexOctagon.CoverageData09 +import LeanPool.Erdos97ConvexOctagon.CoverageData10 +import LeanPool.Erdos97ConvexOctagon.CoverageData11 +import LeanPool.Erdos97ConvexOctagon.CoverageData12 +import LeanPool.Erdos97ConvexOctagon.CoverageData13 +import LeanPool.Erdos97ConvexOctagon.CoverageData14 +import LeanPool.Erdos97ConvexOctagon.CoverageData15 +import LeanPool.Erdos97ConvexOctagon.CoverageData16 +import LeanPool.Erdos97ConvexOctagon.CoverageData17 +import LeanPool.Erdos97ConvexOctagon.CoverageData18 +import LeanPool.Erdos97ConvexOctagon.CoverageData19 +import LeanPool.Erdos97ConvexOctagon.CoverageData20 +import LeanPool.Erdos97ConvexOctagon.CoverageData21 +import LeanPool.Erdos97ConvexOctagon.CoverageData22 +import LeanPool.Erdos97ConvexOctagon.CoverageData23 +import LeanPool.Erdos97ConvexOctagon.CoverageData24 +import LeanPool.Erdos97ConvexOctagon.CoverageData25 +import LeanPool.Erdos97ConvexOctagon.CoverageData26 +import LeanPool.Erdos97ConvexOctagon.CoverageData27 +import LeanPool.Erdos97ConvexOctagon.CoverageData28 +import LeanPool.Erdos97ConvexOctagon.CoverageData29 +import LeanPool.Erdos97ConvexOctagon.CoverageData30 +import LeanPool.Erdos97ConvexOctagon.CoverageData31 + +/-! # Erdős 97 convex-octagon formalization: Coverage Data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- The 32 generated groups containing all 256 pattern hash buckets. -/ +def patternBucketGroups : Array (Array (List PatternEntry)) := #[ + patternBuckets00, + patternBuckets01, + patternBuckets02, + patternBuckets03, + patternBuckets04, + patternBuckets05, + patternBuckets06, + patternBuckets07, + patternBuckets08, + patternBuckets09, + patternBuckets10, + patternBuckets11, + patternBuckets12, + patternBuckets13, + patternBuckets14, + patternBuckets15, + patternBuckets16, + patternBuckets17, + patternBuckets18, + patternBuckets19, + patternBuckets20, + patternBuckets21, + patternBuckets22, + patternBuckets23, + patternBuckets24, + patternBuckets25, + patternBuckets26, + patternBuckets27, + patternBuckets28, + patternBuckets29, + patternBuckets30, + patternBuckets31 +] + +/-- The 32 generated groups containing all 256 exact-table hash buckets. -/ +def hardBucketGroups : Array (Array (List HardEntry)) := #[ + hardBuckets00, + hardBuckets01, + hardBuckets02, + hardBuckets03, + hardBuckets04, + hardBuckets05, + hardBuckets06, + hardBuckets07, + hardBuckets08, + hardBuckets09, + hardBuckets10, + hardBuckets11, + hardBuckets12, + hardBuckets13, + hardBuckets14, + hardBuckets15, + hardBuckets16, + hardBuckets17, + hardBuckets18, + hardBuckets19, + hardBuckets20, + hardBuckets21, + hardBuckets22, + hardBuckets23, + hardBuckets24, + hardBuckets25, + hardBuckets26, + hardBuckets27, + hardBuckets28, + hardBuckets29, + hardBuckets30, + hardBuckets31 +] + +/-- Retrieve one pattern hash bucket. -/ +def patternBucket (index : Fin 256) : List PatternEntry := + let group := patternBucketGroups.getD (index.val / 8) #[] + group.getD (index.val % 8) [] + +/-- Retrieve one exact-table hash bucket. -/ +def hardBucket (index : Fin 256) : List HardEntry := + let group := hardBucketGroups.getD (index.val / 8) #[] + group.getD (index.val % 8) [] + +/-- Look up a monotone obstruction entry by its source identifier. -/ +def patternEntry (origin : ℕ) : Option PatternEntry := + (patternBucket (Fin.ofNat 256 origin)).find? (fun entry => entry.origin == origin) + +/-- Look up an exact-table obstruction entry by its source identifier. -/ +def hardEntry (origin : ℕ) : Option HardEntry := + (hardBucket (Fin.ofNat 256 origin)).find? (fun entry => entry.origin == origin) + +theorem patternEntry_sound {origin : ℕ} {entry : PatternEntry} + (hfind : patternEntry origin = some entry) : + entry.origin = origin ∧ + entry.certificate.toCertificate.Valid (packedIncidence entry.mask) := by + refine ⟨?_, entry.valid⟩ + simpa using List.find?_some hfind + +theorem hardEntry_sound {origin : ℕ} {entry : HardEntry} + (hfind : hardEntry origin = some entry) : + entry.origin = origin ∧ entry.certificate.Valid (packedIncidence entry.code) := by + refine ⟨?_, entry.valid⟩ + simpa using List.find?_some hfind + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData00.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData00.lean new file mode 100644 index 000000000..323f4c496 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData00.lean @@ -0,0 +1,517 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 0–7 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets00 : Array (List PatternEntry) := #[ + [ + { origin := 0 + mask := 7196 + certificate := .sharedThree 0 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 768 + mask := 8070539455250825216 + certificate := .k4 4 [4, 5, 7] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1280 + mask := 11272194355625984 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2048 + mask := 42785027821404184 + certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4096 + mask := 1447907609914900480 + certificate := .k4 2 [2, 4, 7, 6, 3] 2 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6656 + mask := 6777829138759680 + certificate := .k4 2 [2, 5, 4, 6, 3] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1 + mask := 1703962 + certificate := .sharedThree 0 2 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 257 + mask := 286851100 + certificate := .k4 0 [0, 2, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 513 + mask := 10770815905719296 + certificate := .k4 1 [1, 6, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 769 + mask := 8083962293202714624 + certificate := .k4 4 [4, 6, 7] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1793 + mask := 7036875513593884 + certificate := .k4 0 [0, 2, 3, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2049 + mask := 42785061912707096 + certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2305 + mask := 5802326003142492160 + certificate := .k4 2 [2, 6, 7, 4] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2817 + mask := 26547998752796 + certificate := .k4 0 [0, 2, 4, 5, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6657 + mask := 6777846117826560 + certificate := .k4 2 [2, 5, 4, 6, 3] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 514 + mask := 11259000712620032 + certificate := .k4 1 [1, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 770 + mask := 50922766 + certificate := .k4 0 [0, 1, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1026 + mask := 1970324837187846 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1282 + mask := 11272194890399744 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1794 + mask := 7036875793500442 + certificate := .k4 0 [0, 1, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2050 + mask := 45108564053910528 + certificate := .k4 1 [1, 2, 5, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4610 + mask := 76965868563468 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8450 + mask := 13583693067657502 + certificate := .k4 0 [0, 1, 2, 5, 6, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8706 + mask := 4792955903720063262 + certificate := .k4 0 [0, 1, 3, 7, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 771 + mask := 50924558 + certificate := .k4 0 [0, 2, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1027 + mask := 1970324837188614 + certificate := .k4 0 [0, 2, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1539 + mask := 27676770369564 + certificate := .k4 0 [0, 2, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1795 + mask := 7036875827642396 + certificate := .k4 0 [0, 2, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2819 + mask := 26560699629596 + certificate := .k4 0 [0, 2, 3, 5, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4355 + mask := 5805140522122608640 + certificate := .k4 2 [2, 3, 4, 7, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6659 + mask := 7036875513660702 + certificate := .k4 0 [0, 1, 3, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 772 + mask := 50988302 + certificate := .k4 0 [0, 1, 3, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1028 + mask := 1970324841235718 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1284 + mask := 11285698464186368 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6148 + mask := 79165430787084 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6660 + mask := 7036875547216924 + certificate := .k4 0 [0, 3, 1, 6, 2] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7428 + mask := 4792955903484264718 + certificate := .k4 0 [0, 1, 3, 7, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8708 + mask := 4792955942089556254 + certificate := .k4 0 [0, 1, 4, 7, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 261 + mask := 337182748 + certificate := .k4 0 [0, 2, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 517 + mask := 11340362928908288 + certificate := .k4 1 [1, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 773 + mask := 50990094 + certificate := .k4 0 [0, 3, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1029 + mask := 1970324841251846 + certificate := .k4 0 [0, 2, 6, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1285 + mask := 11285801543401472 + certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1541 + mask := 72569485535232 + certificate := .k4 1 [1, 3, 5, 2] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1797 + mask := 7037153595424796 + certificate := .k4 0 [0, 2, 4, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4101 + mask := 1513210028855821334 + certificate := .k4 0 [0, 4, 7, 2, 1] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4357 + mask := 5805791526348939264 + certificate := .k4 1 [1, 6, 7, 4, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6149 + mask := 79165464928522 + certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9221 + mask := 5922249353749534 + certificate := .k4 0 [0, 3, 4, 5, 6, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9989 + mask := 4940472293295006982 + certificate := .k4 0 [0, 1, 2, 7, 6, 4, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 6 + mask := 6381824 + certificate := .sharedThree 1 2 0 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 262 + mask := 353435676 + certificate := .k4 0 [0, 2, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 518 + mask := 11342561958952960 + certificate := .k4 2 [2, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1030 + mask := 1970324841301254 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1286 + mask := 11285835366268928 + certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1542 + mask := 72997271643136 + certificate := .k4 1 [1, 2, 5, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4102 + mask := 1513210031070773276 + certificate := .k4 0 [0, 4, 7, 2, 3] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4358 + mask := 5806354484898562048 + certificate := .k4 2 [2, 6, 7, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4870 + mask := 150242816163864 + certificate := .k4 0 [0, 3, 4, 5, 2] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6662 + mask := 7037153590856734 + certificate := .k4 0 [0, 2, 4, 1, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7430 + mask := 4792955916319359254 + certificate := .k4 0 [0, 1, 4, 7, 6, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 7 + mask := 6842368 + certificate := .sharedThree 1 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 263 + mask := 353894428 + certificate := .k4 0 [0, 3, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 519 + mask := 11356202768269312 + certificate := .k4 4 [4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 775 + mask := 84085774 + certificate := .k4 0 [0, 2, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1031 + mask := 1970324841316614 + certificate := .k4 0 [0, 1, 6, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1799 + mask := 7037200836395036 + certificate := .k4 0 [0, 2, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4359 + mask := 5807480403589595136 + certificate := .k4 3 [3, 6, 7, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets00 : Array (List HardEntry) := #[ + [ + { origin := 0 + code := 8697799730556775710 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 1 3 5 7 6 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 768 + code := 6020701831342613790 + certificate := .residual 104390639921009 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1024 + code := 8153717281279011870 + certificate := .residual 1339015425089107 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1280 + code := 3870992639438515230 + certificate := .residual 3018991752198694 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5376 + code := 5590592674009309470 + certificate := .residual 3915966730421769 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5632 + code := 6428199806150304030 + certificate := .residual 1734974158594661 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1 + code := 8697795349690133790 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 2 0 1 5 6 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 769 + code := 3717101826386453790 + certificate := .residual 605269692606434 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1025 + code := 8190575647154334750 + certificate := .residual 307506372826355 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1281 + code := 3148396054435752990 + certificate := .residual 3302134262631687 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5377 + code := 7824238863525208350 + certificate := .residual 199278788155888 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5633 + code := 6141095329905434910 + certificate := .residual 3035551636309698 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 2 + code := 8410689778228604190 + certificate := .residual 4411689737676934 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 770 + code := 8256726681708422430 + certificate := .residual 4409479976808705 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1026 + code := 5418893192665328670 + certificate := .residual 3746517855920788 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1282 + code := 3139951933983452190 + certificate := .residual 347141178295410 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5378 + code := 5599249129591660830 + certificate := .residual 208055910283760 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5634 + code := 6425956802429640990 + certificate := .residual 4231650588109506 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 3 + code := 8693859081117707550 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 771 + code := 3717098527901902110 + certificate := .residual 4411689737676933 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1027 + code := 5418892097448668190 + certificate := .residual 3746517855920785 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1283 + code := 5996977923177999390 + certificate := .residual 2317586278089825 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5379 + code := 8398447679112864030 + certificate := .residual 199276909050352 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5635 + code := 5564643373695033630 + certificate := .residual 2920824465876805 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 4 + code := 7397959300637994270 + certificate := .residual 4411689737676931 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 772 + code := 7652624885687543070 + certificate := .residual 4189839890960416 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1028 + code := 3145293499375119390 + certificate := .residual 3253936643007124 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1284 + code := 5158251776292449310 + certificate := .residual 3893577870611859 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5380 + code := 3865946433514103070 + certificate := .residual 1013831082619824 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5636 + code := 5563521871834702110 + certificate := .residual 3528256976411330 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 5 + code := 7684223732869704990 + certificate := .residual 4349139977733382 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 773 + code := 8226825029383906590 + certificate := .residual 4251412542173216 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1029 + code := 3145012028693376030 + certificate := .residual 3253936643007121 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1285 + code := 5452051303426452510 + certificate := .residual 4408292418399751 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5381 + code := 3862342896896958750 + certificate := .residual 4350102050465026 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5637 + code := 3141636414015463710 + certificate := .residual 1441062780320802 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 6 + code := 8693009180154604830 + certificate := .residual 155917796596467 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 774 + code := 7690130066659042590 + certificate := .residual 3916673252471171 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1030 + code := 4158170209613736990 + certificate := .residual 4317250646643984 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1286 + code := 5163820944454609950 + certificate := .residual 3884919216541330 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5382 + code := 7798428910396104990 + certificate := .residual 3364939598947586 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5638 + code := 3285736200573477150 + certificate := .residual 2489030601069602 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 7 + code := 7399917398290279710 + certificate := .residual 4411689737676932 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 775 + code := 3150432644676936990 + certificate := .residual 157994266016500 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1031 + code := 3871062447718886430 + certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 5, 7, 6] 0 1 2 7 4 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1287 + code := 2858261605449231390 + certificate := .residual 3331727417808275 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5383 + code := 4154172000913056030 + certificate := .residual 1013834873746352 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5639 + code := 7653121739334017310 + certificate := .residual 1076505035839408 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData01.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData01.lean new file mode 100644 index 000000000..66de784e8 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData01.lean @@ -0,0 +1,461 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 8–15 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets01 : Array (List PatternEntry) := #[ + [ + { origin := 264 + mask := 573189120 + certificate := .k4 1 [1, 2, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 520 + mask := 11550371277176832 + certificate := .k4 3 [3, 5, 6] 0 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1288 + mask := 11331567406311424 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1544 + mask := 73016356644864 + certificate := .k4 1 [1, 3, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1800 + mask := 9361242003301632 + certificate := .k4 1 [1, 2, 5, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4104 + mask := 1513210061336936460 + certificate := .k4 0 [0, 2, 7, 4, 3] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 265 + mask := 606743552 + certificate := .k4 1 [1, 2, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 521 + mask := 11611943928332288 + certificate := .k4 3 [3, 6, 5] 0 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 777 + mask := 84544526 + certificate := .k4 0 [0, 3, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1033 + mask := 2533275885699084 + certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1289 + mask := 11331568446498816 + certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2313 + mask := 5809644498567823360 + certificate := .k4 2 [2, 4, 7, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4361 + mask := 5810792234088398848 + certificate := .k4 2 [2, 5, 6, 7, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7433 + mask := 4794081804510527758 + certificate := .k4 0 [0, 1, 2, 7, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8457 + mask := 13585844848430110 + certificate := .k4 0 [0, 4, 6, 5, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 266 + mask := 639773696 + certificate := .k4 1 [1, 2, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 522 + mask := 11620738947612672 + certificate := .k4 3 [3, 5, 6] 0 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1546 + mask := 74768437111808 + certificate := .k4 1 [1, 2, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2314 + mask := 5809644517619400704 + certificate := .k4 3 [3, 4, 7, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3594 + mask := 10225647926902784 + certificate := .k4 2 [2, 6, 5, 4, 3] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7434 + mask := 4794081817596559642 + certificate := .k4 0 [0, 1, 4, 7, 6, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 11 + mask := 10592512 + certificate := .sharedThree 1 2 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 267 + mask := 640166912 + certificate := .k4 1 [1, 3, 2] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 523 + mask := 11620739484483584 + certificate := .k4 3 [3, 6, 5] 0 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 779 + mask := 100862990 + certificate := .k4 0 [0, 2, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1035 + mask := 2533275914486026 + certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1291 + mask := 11331568480051200 + certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4107 + mask := 1729382826329571356 + certificate := .k4 0 [0, 2, 3, 7, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4363 + mask := 5814222572928106496 + certificate := .k4 2 [2, 5, 6, 7, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5899 + mask := 12116106420510 + certificate := .k4 0 [0, 1, 4, 5, 2] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6667 + mask := 9644916051821838 + certificate := .k4 0 [0, 1, 3, 6, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 524 + mask := 11821949592299520 + certificate := .k4 1 [1, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 780 + mask := 101254414 + certificate := .k4 0 [0, 1, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1036 + mask := 2533275914487818 + certificate := .k4 0 [0, 3, 1, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1292 + mask := 11333766469910528 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4108 + mask := 1729382830557429788 + certificate := .k4 0 [0, 2, 4, 7, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4364 + mask := 5814226972846325760 + certificate := .k4 3 [3, 5, 6, 7, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7692 + mask := 75213759972618 + certificate := .k4 0 [0, 1, 3, 2, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 525 + mask := 11821950632486912 + certificate := .k4 1 [1, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 781 + mask := 101256206 + certificate := .k4 0 [0, 2, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1037 + mask := 2533275936030732 + certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 14 + mask := 12697856 + certificate := .sharedThree 1 2 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 270 + mask := 1112165376 + certificate := .k4 1 [1, 2, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 526 + mask := 11821950666024960 + certificate := .k4 1 [1, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 782 + mask := 101319950 + certificate := .k4 0 [0, 1, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1038 + mask := 2533275952283660 + certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3086 + mask := 3400137774202880 + certificate := .k4 2 [2, 3, 5, 6, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4110 + mask := 1729382843258306588 + certificate := .k4 0 [0, 2, 3, 7, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7438 + mask := 4796333903797518614 + certificate := .k4 0 [0, 1, 2, 7, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 271 + mask := 1145719808 + certificate := .k4 1 [1, 2, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 527 + mask := 11821950666039296 + certificate := .k4 1 [1, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1039 + mask := 2533275952742412 + certificate := .k4 0 [0, 3, 2, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2319 + mask := 5811896283073347584 + certificate := .k4 3 [3, 6, 7, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7439 + mask := 4796333921027522842 + certificate := .k4 0 [0, 1, 3, 7, 6, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets01 : Array (List HardEntry) := #[ + [ + { origin := 8 + code := 8697799730289388830 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 2 0 1 5 6 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 776 + code := 8266581603606816030 + certificate := .residual 3916658220028291 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1032 + code := 5420594277881441310 + certificate := .residual 768639863790514 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1288 + code := 3140075081450941470 + certificate := .residual 4346719763574279 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5384 + code := 3285891231469789470 + certificate := .residual 4349139977733378 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5640 + code := 3146988536760295710 + certificate := .residual 263033069355504 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 9 + code := 8410694158827859230 + certificate := .residual 3918988239981702 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 777 + code := 3726884181624710430 + certificate := .residual 157979233573620 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1033 + code := 5419406806330076190 + certificate := .residual 1203547363024721 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1289 + code := 2851844722479098910 + certificate := .residual 3323068763737746 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5385 + code := 4154163606970425630 + certificate := .residual 1022613787071408 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5641 + code := 7654234419566403870 + certificate := .residual 3300225149774344 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 10 + code := 8697795349422746910 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 1 2 5 6 7 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 778 + code := 3150432618907526430 + certificate := .residual 157994266016497 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1034 + code := 3713174884401638430 + certificate := .residual 1343842705006036 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1290 + code := 5130667230218972190 + certificate := .residual 3746380685381268 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5386 + code := 8374880746683490590 + certificate := .residual 3363977526215938 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5642 + code := 7650869913985409310 + certificate := .residual 3300225149774345 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 11 + code := 8689069625664810270 + certificate := .hubPentagon 0 [0, 1, 2, 4, 3, 5, 6, 7] 0 1 2 6 4 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 779 + code := 8693867215323751710 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1035 + code := 5446490936687815710 + certificate := .residual 236284790560113 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1291 + code := 5130666135002311710 + certificate := .residual 3746380685381265 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5387 + code := 3289485261948576030 + certificate := .residual 1022609995944880 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5643 + code := 8659741810657255710 + certificate := .residual 3362744870465794 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 12 + code := 6168184248254803230 + certificate := .residual 4403991276775443 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 780 + code := 7654313722328474910 + certificate := .residual 1167913026665954 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1036 + code := 5455147529172249630 + certificate := .residual 1703548918296290 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1292 + code := 2858189038789094430 + certificate := .residual 3253799472467604 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5388 + code := 3857276638301118750 + certificate := .residual 209140128487920 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5644 + code := 4149307752152490270 + certificate := .residual 3035688894908098 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 13 + code := 8688509961394924830 + certificate := .residual 708974291475411 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 781 + code := 4154171992331347230 + certificate := .residual 2471328076515536 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1037 + code := 8189464194495114270 + certificate := .residual 3299984631541254 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1293 + code := 2857907568107351070 + certificate := .residual 3253799472467601 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5389 + code := 3865933230785552670 + certificate := .residual 4346975314200073 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5645 + code := 3862203275907621150 + certificate := .residual 1734838808404581 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 14 + code := 6454721393713163550 + certificate := .residual 4278891759698982 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 782 + code := 6463102686283326750 + certificate := .residual 1243631141429042 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1038 + code := 8192693988426869790 + certificate := .residual 1831459452811859 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1294 + code := 5132297947931765790 + certificate := .residual 1766497048060753 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5390 + code := 3289481274575151390 + certificate := .residual 4346975314200072 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5646 + code := 4147064748431827230 + certificate := .residual 2920841436030789 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 15 + code := 6175167135772519710 + certificate := .residual 4403991276775444 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 783 + code := 8262233563400398110 + certificate := .residual 3254039990700688 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1039 + code := 6451358515895823390 + certificate := .residual 4410442049490187 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1295 + code := 3714161027419499550 + certificate := .residual 1734880180889185 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5391 + code := 3280824408286552350 + certificate := .residual 209138249382384 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5647 + code := 3285751319697219870 + certificate := .residual 3668700697602754 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData02.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData02.lean new file mode 100644 index 000000000..4a024cf81 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData02.lean @@ -0,0 +1,497 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 16–23 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets02 : Array (List PatternEntry) := #[ + [ + { origin := 272 + mask := 1178749952 + certificate := .k4 1 [1, 2, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 784 + mask := 12886017302 + certificate := .k4 0 [0, 1, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1040 + mask := 2533555322224664 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1296 + mask := 11338164476078080 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1552 + mask := 76965818230022 + certificate := .k4 0 [0, 1, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6416 + mask := 1708821463985152 + certificate := .k4 1 [1, 5, 6, 4, 2] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 17 + mask := 14737408 + certificate := .sharedThree 1 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 273 + mask := 1179143168 + certificate := .k4 1 [1, 3, 2] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 529 + mask := 11901113859074048 + certificate := .k4 1 [1, 6, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1041 + mask := 2533585386995736 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1553 + mask := 76965818360070 + certificate := .k4 0 [0, 1, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2321 + mask := 5850670421308866560 + certificate := .k4 4 [4, 6, 7, 5] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 18 + mask := 369098774 + certificate := .sharedThree 0 3 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 274 + mask := 1179272192 + certificate := .k4 1 [1, 2, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 530 + mask := 12384899586064384 + certificate := .k4 2 [2, 3, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 786 + mask := 12886082838 + certificate := .k4 0 [0, 1, 4, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1042 + mask := 2533589413527576 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1298 + mask := 11338165012948992 + certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2322 + mask := 5882142704703373312 + certificate := .k4 4 [4, 5, 7, 6] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3602 + mask := 10487141910012934 + certificate := .k4 0 [0, 2, 6, 5, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4626 + mask := 79165397296394 + certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10002 + mask := 4945031556302507278 + certificate := .k4 0 [0, 1, 2, 7, 6, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 19 + mask := 589496320 + certificate := .sharedThree 2 3 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1043 + mask := 2533589665185816 + certificate := .k4 0 [0, 4, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1811 + mask := 9644916636412928 + certificate := .k4 1 [1, 3, 6, 5] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2067 + mask := 504403158358425614 + certificate := .k4 0 [0, 3, 2, 7] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2835 + mask := 27539885064220 + certificate := .k4 0 [0, 2, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3091 + mask := 3404518373457920 + certificate := .k4 2 [2, 3, 6, 5, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3859 + mask := 13598923026482176 + certificate := .k4 1 [1, 2, 4, 5, 6] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4627 + mask := 79165397361676 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5139 + mask := 5348342721216534 + certificate := .k4 0 [0, 2, 3, 4, 6] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7187 + mask := 13586944357508118 + certificate := .k4 0 [0, 2, 4, 1, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 20 + mask := 620766464 + certificate := .sharedThree 1 3 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 532 + mask := 12384900655611904 + certificate := .k4 2 [2, 3, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 788 + mask := 13170116890 + certificate := .k4 0 [0, 1, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1044 + mask := 2814749872114688 + certificate := .k4 1 [1, 2, 3, 6] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4116 + mask := 1729401672863580184 + certificate := .k4 0 [0, 3, 7, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4372 + mask := 6958853218688327680 + certificate := .k4 1 [1, 6, 7, 5, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4628 + mask := 79166464814092 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10772 + mask := 6954279246022396958 + certificate := .k4 0 [0, 2, 4, 5, 7, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1301 + mask := 11338611924402176 + certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3861 + mask := 13598941576710144 + certificate := .k4 1 [1, 3, 4, 5, 6] 1 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8725 + mask := 4936508141846675742 + certificate := .k4 0 [0, 1, 3, 6, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10773 + mask := 6954279246105693214 + certificate := .k4 0 [0, 3, 4, 5, 7, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 22 + mask := 825294848 + certificate := .sharedThree 2 3 0 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 534 + mask := 12459667443679232 + certificate := .k4 3 [3, 6, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 790 + mask := 13186894106 + certificate := .k4 0 [0, 1, 4, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1046 + mask := 2814750912302080 + certificate := .k4 1 [1, 2, 6, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2070 + mask := 504403179749900310 + certificate := .k4 0 [0, 4, 2, 7] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2326 + mask := 5947003903903006720 + certificate := .k4 3 [3, 6, 7, 4] 1 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2582 + mask := 10995670526990 + certificate := .k4 0 [0, 2, 3, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4630 + mask := 79166498366476 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6934 + mask := 11259000233025802 + certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 23 + mask := 1128464384 + certificate := .sharedThree 2 3 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 535 + mask := 12464063819284480 + certificate := .k4 2 [2, 6, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1303 + mask := 11340363499331584 + certificate := .k4 1 [1, 5, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2071 + mask := 504403720914665494 + certificate := .k4 0 [0, 2, 4, 7] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2583 + mask := 10995687302414 + certificate := .k4 0 [0, 1, 2, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4375 + mask := 6960533539548823552 + certificate := .k4 3 [3, 5, 7, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5655 + mask := 14636977964147732 + certificate := .k4 0 [0, 2, 4, 1, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6423 + mask := 1970364900983070 + certificate := .k4 0 [0, 1, 4, 6, 3] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7703 + mask := 79186873181208 + certificate := .k4 0 [0, 3, 4, 5, 2, 1] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8727 + mask := 4936508180216168734 + certificate := .k4 0 [0, 1, 4, 6, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets02 : Array (List HardEntry) := #[ + [ + { origin := 16 + code := 7397963681003285790 + certificate := .residual 3918988239981699 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 784 + code := 8693728118512968990 + certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1040 + code := 6136111352343260190 + certificate := .residual 3045388487022112 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1296 + code := 5420526107913907230 + certificate := .residual 257256841594482 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5392 + code := 8369814334206501150 + certificate := .residual 191580323985904 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5648 + code := 3858838770326626590 + certificate := .residual 4091069608319682 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 17 + code := 7688989032892673310 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 7 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 785 + code := 5996980126964409630 + certificate := .residual 712033508203473 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1041 + code := 8184531214588800030 + certificate := .residual 1805483491652404 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1297 + code := 5132295748942064670 + certificate := .residual 3489747765103381 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5393 + code := 3865932820079304990 + certificate := .residual 3361812862682632 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5649 + code := 6428199532346138910 + certificate := .residual 2675518563356242 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 18 + code := 5445915077183089950 + certificate := .residual 4411689737676928 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 786 + code := 8693858838493881630 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1042 + code := 7175740291220597790 + certificate := .residual 2049895082094273 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1298 + code := 5130613496151567390 + certificate := .residual 3486425606329121 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5394 + code := 3289480863868903710 + certificate := .residual 3361812862682633 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5650 + code := 6141095056101269790 + certificate := .residual 3035311114012359 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 19 + code := 7391473148990926110 + certificate := .residual 4411689737676929 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 787 + code := 4154163606945096990 + certificate := .residual 1978746867214544 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1043 + code := 5419468377941437470 + certificate := .residual 1823071514850097 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1299 + code := 6454719482227092510 + certificate := .residual 2983541482437160 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5395 + code := 7793362241094017310 + certificate := .residual 191582203091440 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5651 + code := 6425956528625475870 + certificate := .residual 3363992558602380 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 20 + code := 6464014315383041310 + certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 7, 6] 0 1 2 4 7 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 788 + code := 3726884181390746910 + certificate := .residual 157979233573617 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1044 + code := 8180738470737177630 + certificate := .residual 1839048902310592 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1300 + code := 6024062767859788830 + certificate := .residual 4409479976808714 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5396 + code := 5600390815133917470 + certificate := .residual 4409615268393218 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5652 + code := 5564643099890868510 + certificate := .residual 1620093009165906 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 21 + code := 6168179867137486110 + certificate := .residual 3911289779080211 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 789 + code := 8230765558615860510 + certificate := .residual 1159119080898018 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1045 + code := 6460014971478174750 + certificate := .residual 3487524849550112 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1301 + code := 2852284528975703070 + certificate := .residual 1765399672906577 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5397 + code := 3284769712112328990 + certificate := .residual 4348042613567746 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5653 + code := 6137730550520275230 + certificate := .residual 2042461542408786 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 22 + code := 5450438317695970590 + certificate := .residual 4403991276775440 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 790 + code := 6460859425737565470 + certificate := .residual 1244713473302322 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1046 + code := 7184465745452559390 + certificate := .residual 3794595216460161 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1302 + code := 3139951938027678750 + certificate := .residual 266035765757554 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5398 + code := 6455296734412857630 + certificate := .residual 4408397645048329 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5654 + code := 6425393587261989150 + certificate := .residual 1442160232545314 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 23 + code := 6170945011122842910 + certificate := .residual 4403991276775441 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 791 + code := 7688024503822214430 + certificate := .residual 3253902820010640 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1047 + code := 7175740154318515230 + certificate := .residual 3795707613169029 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1303 + code := 5996977927222225950 + certificate := .residual 1743538842297953 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5399 + code := 6168192258167988510 + certificate := .residual 4408397645048328 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5655 + code := 6425941135697568030 + certificate := .residual 2488068499035170 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData03.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData03.lean new file mode 100644 index 000000000..93c77b0c7 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData03.lean @@ -0,0 +1,477 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 24–31 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets03 : Array (List PatternEntry) := #[ + [ + { origin := 24 + mask := 1157645568 + certificate := .sharedThree 1 3 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 280 + mask := 2257224704 + certificate := .k4 1 [1, 2, 3] 1 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1560 + mask := 79165414075392 + certificate := .k4 1 [1, 2, 3, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4376 + mask := 6960542095928983552 + certificate := .k4 3 [3, 6, 7, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5144 + mask := 5629778711809310 + certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10008 + mask := 4945040515000239382 + certificate := .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 537 + mask := 13511228386181120 + certificate := .k4 2 [2, 4, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1049 + mask := 2814750946247680 + certificate := .k4 1 [1, 6, 3, 2] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1305 + mask := 11340364036202496 + certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1561 + mask := 79165448152064 + certificate := .k4 1 [1, 2, 3, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2329 + mask := 6091118499518218240 + certificate := .k4 2 [2, 7, 6, 3] 2 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3097 + mask := 3659174819414282 + certificate := .k4 0 [0, 1, 3, 2, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3865 + mask := 13599060463330304 + certificate := .k4 1 [1, 2, 4, 6, 5] 1 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7449 + mask := 4936508141643844622 + certificate := .k4 0 [0, 2, 3, 7, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 26 + mask := 1364262912 + certificate := .sharedThree 2 3 0 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 282 + mask := 12886147094 + certificate := .k4 0 [0, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 538 + mask := 13511247437758464 + certificate := .k4 3 [3, 4, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2330 + mask := 6091119100602351616 + certificate := .k4 3 [3, 6, 7, 4] 2 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3610 + mask := 10768616884610310 + certificate := .k4 0 [0, 1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4122 + mask := 1734168193745813528 + certificate := .k4 0 [0, 3, 7, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4890 + mask := 152456591843594 + certificate := .k4 0 [0, 1, 3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5146 + mask := 5629778711940126 + certificate := .k4 0 [0, 4, 6, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5914 + mask := 12283607589150 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6682 + mask := 9644928886916374 + certificate := .k4 0 [0, 1, 4, 6, 5, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10522 + mask := 2605543504651354142 + certificate := .k4 0 [0, 3, 4, 6, 5, 7, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 27 + mask := 1627414784 + certificate := .sharedThree 1 3 0 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 283 + mask := 13203669018 + certificate := .k4 0 [0, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1307 + mask := 11342562562408448 + certificate := .k4 2 [2, 5, 3, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2075 + mask := 720575942644237326 + certificate := .k4 0 [0, 3, 7, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3867 + mask := 13599078478784512 + certificate := .k4 1 [1, 3, 4, 6, 5] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6427 + mask := 1970643004834066 + certificate := .k4 0 [0, 1, 6, 2, 3, 4] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6939 + mask := 11330468417053710 + certificate := .k4 0 [0, 2, 3, 1, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7707 + mask := 79204303660306 + certificate := .k4 0 [0, 1, 4, 2, 3, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 28 + mask := 1633746944 + certificate := .sharedThree 2 3 0 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 540 + mask := 13603157866184704 + certificate := .k4 2 [2, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 796 + mask := 21760639004 + certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5148 + mask := 5629778812600350 + certificate := .k4 0 [0, 4, 6, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6172 + mask := 83563492630790 + certificate := .k4 0 [0, 1, 2, 3, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7452 + mask := 4938196992561057038 + certificate := .k4 0 [0, 1, 2, 7, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 29 + mask := 1650589696 + certificate := .sharedThree 2 3 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 285 + mask := 21827158044 + certificate := .k4 0 [0, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 541 + mask := 13607557784403968 + certificate := .k4 3 [3, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 797 + mask := 21761622044 + certificate := .k4 0 [0, 3, 4, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1309 + mask := 11342563099279360 + certificate := .k4 2 [2, 5, 6, 3] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2589 + mask := 10995754017038 + certificate := .k4 0 [0, 1, 2, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6429 + mask := 1970651539718430 + certificate := .k4 0 [0, 1, 3, 6, 4] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 30 + mask := 1677747200 + certificate := .sharedThree 1 3 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 542 + mask := 13811382168322048 + certificate := .k4 4 [4, 5, 6] 0 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 798 + mask := 21810970652 + certificate := .k4 0 [0, 2, 4, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1310 + mask := 11347271115341824 + certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3102 + mask := 3659175792100366 + certificate := .k4 0 [0, 3, 6, 2, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4382 + mask := 6963854063864643584 + certificate := .k4 2 [2, 6, 7, 5, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4638 + mask := 79205404533010 + certificate := .k4 0 [0, 1, 4, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4894 + mask := 153932192194826 + certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6174 + mask := 83564009971982 + certificate := .k4 0 [0, 1, 2, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 287 + mask := 25771048982 + certificate := .k4 0 [0, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 543 + mask := 13864158726455296 + certificate := .k4 4 [4, 6, 5] 0 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 799 + mask := 21811953692 + certificate := .k4 0 [0, 4, 2, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2335 + mask := 6999582281887145984 + certificate := .k4 1 [1, 5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4895 + mask := 153933803291914 + certificate := .k4 0 [0, 1, 3, 2, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6175 + mask := 83564010038538 + certificate := .k4 0 [0, 1, 3, 2, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7455 + mask := 4940449091881600278 + certificate := .k4 0 [0, 1, 2, 7, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets03 : Array (List HardEntry) := #[ + [ + { origin := 24 + code := 7184589160277617950 + certificate := .residual 226406619532019 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 792 + code := 5420528452980860190 + certificate := .residual 711896337513425 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1048 + code := 8189394926319528990 + certificate := .residual 3331710506259856 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1304 + code := 2853403831846333470 + certificate := .residual 2923477778371361 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5400 + code := 4148893111707951390 + certificate := .residual 349875201253872 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5656 + code := 3290606744473493790 + certificate := .residual 1023692327717808 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 25 + code := 7180660618116476190 + certificate := .residual 3793888694448390 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 793 + code := 8693719202631148830 + certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1049 + code := 7175177204398648350 + certificate := .residual 1877999719610674 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1305 + code := 2851721579055836190 + certificate := .residual 2927897312299797 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5401 + code := 5995936581807694110 + certificate := .residual 342176711443952 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5657 + code := 3869310384852230430 + certificate := .residual 1015995746266032 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 26 + code := 6031663275072564510 + certificate := .residual 779463114410963 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 794 + code := 7688081784408925470 + certificate := .residual 4348042613567745 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1050 + code := 3713035248555617310 + certificate := .residual 1343842705006033 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1306 + code := 4153888184988625950 + certificate := .residual 3546491193113128 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5402 + code := 5564712493871980830 + certificate := .residual 3794715475545346 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5658 + code := 3284062743641514270 + certificate := .residual 1871244612204578 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 27 + code := 6022943160021822750 + certificate := .residual 3723640476413990 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 795 + code := 5455140781798483230 + certificate := .residual 595511780550626 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1051 + code := 6454735958723619870 + certificate := .residual 3917740551801216 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1307 + code := 3721549217830824990 + certificate := .residual 4347907321983242 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5403 + code := 3862203671239123230 + certificate := .residual 4231802802030274 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5659 + code := 5419393472641163550 + certificate := .residual 2425263122528290 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 28 + code := 6019002510582754590 + certificate := .residual 3918988239981696 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 796 + code := 5454296369753253150 + certificate := .residual 4349155010119813 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1052 + code := 5419400209260702750 + certificate := .residual 3489764676551445 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5404 + code := 4147065143763329310 + certificate := .residual 3527997568727746 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5660 + code := 7650865515905736990 + certificate := .residual 1094060979620784 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 29 + code := 7171934894358539550 + certificate := .residual 3911289779080208 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 797 + code := 3147054906303079710 + certificate := .residual 112070295373681 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1053 + code := 5418839458330536990 + certificate := .residual 3487524849550113 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5405 + code := 3285751715028721950 + certificate := .residual 4038065412876101 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5661 + code := 5993610964398301470 + certificate := .residual 1871109262014498 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 30 + code := 5442550541537783070 + certificate := .residual 4411689737676937 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 798 + code := 6029358286390191390 + certificate := .residual 604170434734050 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1054 + code := 3713030747899653150 + certificate := .residual 1171932374908513 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5406 + code := 3858839165658128670 + certificate := .residual 2315224306631269 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5662 + code := 8229569156284473630 + certificate := .residual 1086364398169008 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 31 + code := 5155446065292913950 + certificate := .residual 4411689737676936 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 799 + code := 8262299143542170910 + certificate := .residual 4347907321983233 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1055 + code := 5131169850288860190 + certificate := .residual 186890244864626 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5407 + code := 3284630213168390430 + certificate := .residual 3035658830072514 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5663 + code := 3858262609255522590 + certificate := .residual 2425398472718370 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData04.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData04.lean new file mode 100644 index 000000000..3765f1865 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData04.lean @@ -0,0 +1,433 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 32–39 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets04 : Array (List PatternEntry) := #[ + [ + { origin := 32 + mask := 1886388224 + certificate := .sharedThree 2 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 288 + mask := 30064772374 + certificate := .k4 0 [0, 1, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 544 + mask := 13881476034592768 + certificate := .k4 4 [4, 5, 6] 0 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1056 + mask := 2887318104991744 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1312 + mask := 11347407480553472 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1568 + mask := 81364984553738 + certificate := .k4 0 [0, 1, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2080 + mask := 792633536590053390 + certificate := .k4 0 [0, 2, 3, 7] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3360 + mask := 9644916003266822 + certificate := .k4 0 [0, 1, 2, 6, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6176 + mask := 83564077539594 + certificate := .k4 0 [0, 1, 3, 2, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 33 + mask := 2206400512 + certificate := .sharedThree 2 3 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 545 + mask := 13881613473546240 + certificate := .k4 4 [4, 6, 5] 0 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1057 + mask := 2887319145179136 + certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4385 + mask := 6964984363154931712 + certificate := .k4 3 [3, 6, 7, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 290 + mask := 30064967702 + certificate := .k4 0 [0, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 802 + mask := 25770919190 + certificate := .k4 0 [0, 1, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1058 + mask := 2887319178717184 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1826 + mask := 9662671393678336 + certificate := .k4 1 [1, 6, 5, 4] 1 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4130 + mask := 1801440407222485020 + certificate := .k4 0 [0, 4, 7, 3, 2] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4386 + mask := 6967229435707678720 + certificate := .k4 1 [1, 5, 7, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5410 + mask := 11259000696040460 + certificate := .k4 0 [0, 2, 3, 1, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10786 + mask := 6958204639972502558 + certificate := .k4 0 [0, 2, 4, 6, 7, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 291 + mask := 30065950742 + certificate := .k4 0 [0, 4, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2083 + mask := 792633575521386522 + certificate := .k4 0 [0, 4, 3, 7] 0 1 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2339 + mask := 7026533510907191296 + certificate := .k4 1 [1, 5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7459 + mask := 4946078290770354438 + certificate := .k4 0 [0, 1, 2, 7, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10787 + mask := 6958204640055798814 + certificate := .k4 0 [0, 3, 4, 6, 7, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 36 + mask := 2442199040 + certificate := .sharedThree 2 3 0 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 804 + mask := 25770984726 + certificate := .k4 0 [0, 1, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1060 + mask := 2893915174758400 + certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1316 + mask := 11356169213837312 + certificate := .k4 3 [3, 5, 4, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1828 + mask := 9667086620059648 + certificate := .k4 1 [1, 6, 5, 4] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2084 + mask := 792634099222183962 + certificate := .k4 0 [0, 3, 4, 7] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4132 + mask := 1801440420124688396 + certificate := .k4 0 [0, 3, 7, 4, 2] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5668 + mask := 14990741534220566 + certificate := .k4 0 [0, 1, 2, 5, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7460 + mask := 5224738519868066830 + certificate := .k4 0 [0, 2, 3, 7, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8228 + mask := 10205705589498142 + certificate := .k4 0 [0, 1, 4, 5, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 37 + mask := 2701172992 + certificate := .sharedThree 1 3 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 293 + mask := 38656344092 + certificate := .k4 0 [0, 2, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 549 + mask := 14074169742352384 + certificate := .k4 1 [1, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1317 + mask := 11356169750708224 + certificate := .k4 3 [3, 6, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2085 + mask := 864691130645282830 + certificate := .k4 0 [0, 2, 7, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5669 + mask := 14990763007942934 + certificate := .k4 0 [0, 1, 4, 5, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8741 + mask := 4945032655210096910 + certificate := .k4 0 [0, 1, 2, 7, 6, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 38 + mask := 2711683072 + certificate := .sharedThree 2 3 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1574 + mask := 83563492566016 + certificate := .k4 1 [1, 2, 3, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2086 + mask := 864691130661994510 + certificate := .k4 0 [0, 3, 7, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5926 + mask := 13220466132254 + certificate := .k4 0 [0, 1, 3, 5, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7462 + mask := 5225301469825600782 + certificate := .k4 0 [0, 1, 3, 7, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 39 + mask := 2728525824 + certificate := .sharedThree 2 3 1 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 295 + mask := 43268440090 + certificate := .k4 0 [0, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1063 + mask := 2893916248498176 + certificate := .k4 1 [1, 6, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1319 + mask := 11894518399903744 + certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2087 + mask := 864691130711867406 + certificate := .k4 0 [0, 2, 7, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4135 + mask := 2450101136024808448 + certificate := .k4 1 [1, 2, 5, 3, 7] 1 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6439 + mask := 2814751177590046 + certificate := .k4 0 [0, 1, 2, 6, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets04 : Array (List HardEntry) := #[ + [ + { origin := 32 + code := 5442549446321122590 + certificate := .residual 3124966165754280 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 800 + code := 6028513861510391070 + certificate := .residual 4350117082851461 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1056 + code := 5157704203357547550 + certificate := .residual 712285307943888 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5408 + code := 6141095451432771870 + certificate := .residual 2042187201179218 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5664 + code := 6164798601768330270 + certificate := .residual 2923892976750376 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 33 + code := 5155444970076253470 + certificate := .residual 4411689737676938 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 801 + code := 7680136727664026910 + certificate := .residual 4189975189770272 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1057 + code := 6163132537773911070 + certificate := .residual 1203904415154000 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5409 + code := 6425956923956977950 + certificate := .residual 2745992379589202 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5665 + code := 5590589649278592030 + certificate := .residual 4408547969025546 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 34 + code := 7180591349940890910 + certificate := .residual 1988155130967488 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 802 + code := 8254336871360390430 + certificate := .residual 4251547840983072 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1058 + code := 6166509980601707550 + certificate := .residual 4410442049490185 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5410 + code := 5564643495222370590 + certificate := .residual 4411689737676940 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5666 + code := 6164798327964165150 + certificate := .residual 3915966730421770 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 35 + code := 5451206997120134430 + certificate := .residual 138098946286448 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 803 + code := 3725758281434031390 + certificate := .residual 103291382048625 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1059 + code := 6022957742479272990 + certificate := .residual 4410442049490184 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5411 + code := 6137730945851777310 + certificate := .residual 4231425101817543 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5667 + code := 5590589375474426910 + certificate := .residual 2923891068342056 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 36 + code := 6022942894774037790 + certificate := .residual 2059468769785392 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 804 + code := 6455296725831148830 + certificate := .residual 4409479976808704 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1060 + code := 3862349361617464350 + certificate := .residual 350147663258736 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5412 + code := 5563521993362039070 + certificate := .residual 1549893534162514 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5668 + code := 3865088805855421470 + certificate := .residual 3486842687426344 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 37 + code := 5446490925729066270 + certificate := .residual 629718082397152 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 805 + code := 6425393974011782430 + certificate := .residual 4251412542173217 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1061 + code := 6427714773259545630 + certificate := .residual 342449173455088 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5413 + code := 5132297956764606750 + certificate := .residual 1994254564389922 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5669 + code := 3288636849645020190 + certificate := .residual 4346975314200074 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 38 + code := 8410695253242359070 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 7, 6] 0 1 3 5 6 7 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 806 + code := 5420528307154740510 + certificate := .residual 4255832076101653 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1062 + code := 6166493488178949150 + certificate := .residual 3045114133599784 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5414 + code := 6453044909064249630 + certificate := .residual 936850218047408 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5670 + code := 3865088395149173790 + certificate := .residual 3361812862682634 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 39 + code := 8410690872375717150 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 2 0 1 5 7 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 807 + code := 3714161027670631710 + certificate := .residual 621177753307105 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1063 + code := 6022941250056514590 + certificate := .residual 4410442049490186 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5415 + code := 5564641296232669470 + certificate := .residual 1379760778107938 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5671 + code := 3288636438938772510 + certificate := .residual 3486838896299816 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData05.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData05.lean new file mode 100644 index 000000000..0968b43df --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData05.lean @@ -0,0 +1,469 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 40–47 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets05 : Array (List PatternEntry) := #[ + [ + { origin := 40 + mask := 2751505408 + certificate := .sharedThree 1 3 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 296 + mask := 47244642586 + certificate := .k4 0 [0, 1, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 552 + mask := 14636853415116800 + certificate := .k4 2 [2, 4, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 808 + mask := 38739705884 + certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1064 + mask := 3096224794165514 + certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4136 + mask := 2450101136058231808 + certificate := .k4 1 [1, 3, 5, 2, 7] 1 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7720 + mask := 88102720924696 + certificate := .k4 0 [0, 3, 4, 1, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10024 + mask := 5228679453010429214 + certificate := .k4 0 [0, 1, 3, 2, 7, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 553 + mask := 14637111113154560 + certificate := .k4 2 [2, 6, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 809 + mask := 38740164636 + certificate := .k4 0 [0, 3, 4, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1065 + mask := 3096224794167306 + certificate := .k4 0 [0, 3, 1, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1321 + mask := 11901114429497344 + certificate := .k4 1 [1, 6, 5, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2089 + mask := 864691130881081372 + certificate := .k4 0 [0, 2, 7, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2345 + mask := 12936350750 + certificate := .k4 0 [0, 2, 3, 4, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6697 + mask := 9646015560838158 + certificate := .k4 0 [0, 3, 1, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8745 + mask := 5224738520187355422 + certificate := .k4 0 [0, 1, 2, 6, 7, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 42 + mask := 2964324352 + certificate := .sharedThree 2 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 298 + mask := 47294971930 + certificate := .k4 0 [0, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 554 + mask := 14637128288829440 + certificate := .k4 2 [2, 4, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1066 + mask := 3096225834338570 + certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1322 + mask := 11901114966353920 + certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2090 + mask := 864691130897793052 + certificate := .k4 0 [0, 3, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2346 + mask := 12936416286 + certificate := .k4 0 [0, 3, 4, 1, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2858 + mask := 27659925520412 + certificate := .k4 0 [0, 2, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 43 + mask := 3238052096 + certificate := .sharedThree 1 3 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 299 + mask := 47546630170 + certificate := .k4 0 [0, 4, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1067 + mask := 3096225834354698 + certificate := .k4 0 [0, 3, 6, 1] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1323 + mask := 11901114966368256 + certificate := .k4 1 [1, 6, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1835 + mask := 10204567423886592 + certificate := .k4 1 [1, 2, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3115 + mask := 4785353781298454 + certificate := .k4 0 [0, 1, 4, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6955 + mask := 11331567976917262 + certificate := .k4 0 [0, 1, 2, 5, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 44 + mask := 3250651136 + certificate := .sharedThree 2 3 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 300 + mask := 51541245980 + certificate := .k4 0 [0, 2, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 556 + mask := 14711895076372480 + certificate := .k4 4 [4, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 812 + mask := 38991364124 + certificate := .k4 0 [0, 2, 4, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1068 + mask := 3096225851115786 + certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1324 + mask := 12459666374656000 + certificate := .k4 2 [2, 3, 6, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1580 + mask := 83992990187520 + certificate := .k4 2 [2, 3, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2092 + mask := 864691130964377628 + certificate := .k4 0 [0, 3, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2860 + mask := 844424984742926 + certificate := .k4 0 [0, 2, 3, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5932 + mask := 13220751409182 + certificate := .k4 0 [0, 2, 4, 5, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 45 + mask := 3267493888 + certificate := .sharedThree 2 3 1 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 301 + mask := 51891929116 + certificate := .k4 0 [0, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 557 + mask := 14724659726516224 + certificate := .k4 2 [2, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 813 + mask := 38991822876 + certificate := .k4 0 [0, 4, 3, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1069 + mask := 3096225851130122 + certificate := .k4 0 [0, 1, 6, 3] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3629 + mask := 11330468951632138 + certificate := .k4 0 [0, 1, 3, 6, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3885 + mask := 13603437037027348 + certificate := .k4 0 [0, 2, 4, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4397 + mask := 7211547920209805312 + certificate := .k4 2 [2, 6, 7, 5, 4] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 46 + mask := 3288384512 + certificate := .sharedThree 1 3 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 302 + mask := 55835164700 + certificate := .k4 0 [0, 2, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 558 + mask := 15762772373536768 + certificate := .k4 3 [3, 4, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1326 + mask := 12459667381288960 + certificate := .k4 2 [2, 6, 3, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2862 + mask := 844425018884366 + certificate := .k4 0 [0, 1, 3, 6, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7726 + mask := 88133020574986 + certificate := .k4 0 [0, 1, 3, 2, 4, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10030 + mask := 5233255336936811534 + certificate := .k4 0 [0, 2, 3, 7, 6, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 303 + mask := 55836147740 + certificate := .k4 0 [0, 4, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 559 + mask := 15763012891705344 + certificate := .k4 3 [3, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2095 + mask := 936748743977861148 + certificate := .k4 0 [0, 4, 2, 7] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2863 + mask := 844425018885134 + certificate := .k4 0 [0, 3, 2, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4399 + mask := 7244053197997211648 + certificate := .k4 2 [2, 5, 7, 6, 3] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5679 + mask := 15762892398945280 + certificate := .k4 1 [1, 2, 4, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7727 + mask := 88133020640268 + certificate := .k4 0 [0, 2, 3, 1, 4, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8751 + mask := 5225301482995253278 + certificate := .k4 0 [0, 2, 4, 6, 7, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets05 : Array (List HardEntry) := #[ + [ + { origin := 40 + code := 8697794253403925790 + certificate := .residual 3919108499073158 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 808 + code := 5420526108165039390 + certificate := .residual 128355992864626 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1064 + code := 6452484415601863710 + certificate := .residual 1766852221134672 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5416 + code := 6463953189995208990 + certificate := .residual 348792862155248 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5672 + code := 6176849385392563230 + certificate := .residual 4403716935715220 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 41 + code := 7401888936946248990 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 1 0 2 7 5 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 809 + code := 4157549558708593950 + certificate := .residual 4347907321983232 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1065 + code := 6461191191255936030 + certificate := .residual 2396827539183955 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5417 + code := 4157549567290302750 + certificate := .residual 4346824990222857 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5673 + code := 5157704223821521950 + certificate := .residual 4377740973378195 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 42 + code := 7685063775813315870 + certificate := .residual 3919108499073155 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 810 + code := 4149305811566880030 + certificate := .residual 4251547840983073 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1066 + code := 7171799521858513950 + certificate := .residual 2509119394140465 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5418 + code := 3869323589185102110 + certificate := .residual 4346824990222856 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5674 + code := 3860667531440808990 + certificate := .residual 4334447695825300 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 43 + code := 7181790898371636510 + certificate := .residual 3794986058614022 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 811 + code := 3140514888198677790 + certificate := .residual 4254869999757333 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1067 + code := 6424318531947555870 + certificate := .residual 2526707417338164 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5419 + code := 3726822759056728350 + certificate := .residual 333397787280880 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5675 + code := 2862200060419630110 + certificate := .residual 4308471733488275 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 44 + code := 7185710678799494430 + certificate := .residual 156055055194867 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 812 + code := 3139951938278810910 + certificate := .residual 119697331455858 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1068 + code := 5991979564789754910 + certificate := .residual 2771134040222913 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5420 + code := 3293355667400352030 + certificate := .residual 3302134262631682 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5676 + code := 6176836187159454750 + certificate := .residual 935803625707443 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 45 + code := 8189454433089957150 + certificate := .residual 3919108499073156 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 813 + code := 5996977927473358110 + certificate := .residual 612398829144033 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1069 + code := 3145300087386762270 + certificate := .residual 2286249345264866 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5421 + code := 4149308010581909790 + certificate := .residual 2746007415644754 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5677 + code := 3857289827626705950 + certificate := .residual 1006155204695987 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 46 + code := 8410695252974972190 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 2 0 1 5 7 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 814 + code := 6453036656276563230 + certificate := .residual 4409615268393216 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1070 + code := 3136574496252718110 + certificate := .residual 3606055243924117 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5422 + code := 3862203534337040670 + certificate := .residual 4231442020591303 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5678 + code := 6022957767204725790 + certificate := .residual 3915696147353088 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 47 + code := 8697798634003180830 + certificate := .residual 4411569478585478 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 815 + code := 4155289489154008350 + certificate := .residual 4348042613567744 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1071 + code := 2849470020007848990 + certificate := .residual 3602702921417377 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5423 + code := 3285751578126639390 + certificate := .residual 1479526919118418 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5679 + code := 6020705941856117790 + certificate := .residual 2317464136286432 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData06.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData06.lean new file mode 100644 index 000000000..16f128d32 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData06.lean @@ -0,0 +1,425 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 48–55 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets06 : Array (List PatternEntry) := #[ + [ + { origin := 48 + mask := 3503292416 + certificate := .sharedThree 2 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 304 + mask := 55918460956 + certificate := .k4 0 [0, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 560 + mask := 15763046177701888 + certificate := .k4 3 [3, 4, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 816 + mask := 43234887962 + certificate := .k4 0 [0, 1, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1072 + mask := 3377700832691200 + certificate := .k4 1 [1, 2, 6, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1584 + mask := 88115556541440 + certificate := .k4 1 [1, 2, 4, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4400 + mask := 7246314615316938752 + certificate := .k4 2 [2, 5, 7, 6, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 49 + mask := 3758153728 + certificate := .sharedThree 1 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 305 + mask := 56170119196 + certificate := .k4 0 [0, 4, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1329 + mask := 12464064959610880 + certificate := .k4 2 [2, 6, 3, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4145 + mask := 2450104432336281862 + certificate := .k4 0 [0, 1, 2, 7, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4657 + mask := 81364951198732 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 50 + mask := 3772776448 + certificate := .sharedThree 2 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 562 + mask := 15842210209595392 + certificate := .k4 4 [4, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 818 + mask := 43251665178 + certificate := .k4 0 [0, 1, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3378 + mask := 9646015510701062 + certificate := .k4 0 [0, 2, 1, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4146 + mask := 2450104432336282630 + certificate := .k4 0 [0, 2, 1, 7, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8754 + mask := 5228679470189118750 + certificate := .k4 0 [0, 1, 3, 7, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 51 + mask := 60129542158 + certificate := .sharedThree 0 4 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 563 + mask := 15850561505067008 + certificate := .k4 3 [3, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3379 + mask := 9646015512667142 + certificate := .k4 0 [0, 2, 5, 6, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4147 + mask := 2450108830432928010 + certificate := .k4 0 [0, 1, 3, 7, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5683 + mask := 15842055591980032 + certificate := .k4 1 [1, 2, 4, 6, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 52 + mask := 150326149120 + certificate := .sharedThree 2 4 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 564 + mask := 36591746985149440 + certificate := .k4 1 [1, 2, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 820 + mask := 51624607772 + certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1076 + mask := 3377992119615488 + certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2100 + mask := 1297037272503321622 + certificate := .k4 0 [0, 4, 7, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2612 + mask := 12095234516230 + certificate := .k4 0 [0, 1, 5, 3, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3380 + mask := 9646015512731910 + certificate := .k4 0 [0, 1, 6, 5, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4404 + mask := 7531157673773891584 + certificate := .k4 2 [2, 6, 7, 3, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9780 + mask := 1732197564016512030 + certificate := .k4 0 [0, 4, 7, 3, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10548 + mask := 2889204587480350742 + certificate := .k4 0 [0, 4, 6, 3, 7, 5, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 53 + mask := 150911057920 + certificate := .sharedThree 3 4 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 309 + mask := 155494907904 + certificate := .k4 2 [2, 3, 4] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 821 + mask := 51625066524 + certificate := .k4 0 [0, 3, 2, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1077 + mask := 3377993126248448 + certificate := .k4 2 [2, 4, 6, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1333 + mask := 13531010998231040 + certificate := .k4 1 [1, 5, 4, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2357 + mask := 21526744094 + certificate := .k4 0 [0, 3, 4, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4149 + mask := 2450117639360520466 + certificate := .k4 0 [0, 1, 4, 7, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 54 + mask := 158913799424 + certificate := .sharedThree 1 4 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 822 + mask := 51825410076 + certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1078 + mask := 3377993189163008 + certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1334 + mask := 13533081179783168 + certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2870 + mask := 844446410359062 + certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5686 + mask := 16116641725161754 + certificate := .k4 0 [0, 1, 3, 5, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 567 + mask := 36805052228231168 + certificate := .k4 1 [1, 5, 6] 1 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 823 + mask := 51826393116 + certificate := .k4 0 [0, 3, 4, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1079 + mask := 3378009299484672 + certificate := .k4 2 [2, 3, 6, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1591 + mask := 90447716311314 + certificate := .k4 0 [0, 1, 4, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2871 + mask := 844446410359830 + certificate := .k4 0 [0, 4, 2, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5687 + mask := 16116680094654746 + certificate := .k4 0 [0, 1, 4, 5, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7735 + mask := 92531064988938 + certificate := .k4 0 [0, 1, 3, 2, 4, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets06 : Array (List HardEntry) := #[ + [ + { origin := 48 + code := 8410690872108330270 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 7, 6] 0 1 2 5 7 6 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 816 + code := 4147062961727366430 + certificate := .residual 4189975189770273 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1072 + code := 6452484158910458910 + certificate := .residual 3652170878076454 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5424 + code := 3858839028756046110 + certificate := .residual 2112538780167762 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5680 + code := 6019017117765657630 + certificate := .residual 3512535048794918 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 49 + code := 6176905457452657950 + certificate := .hubPentagon 0 [0, 1, 2, 4, 3, 5, 7, 6] 0 1 2 7 4 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 817 + code := 3714723994569565470 + certificate := .residual 4193297348544533 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1073 + code := 6451358276183485470 + certificate := .residual 2316368651169888 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5425 + code := 3284630076266307870 + certificate := .residual 4350117082851468 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5681 + code := 5564709195337098270 + certificate := .residual 3794595216460167 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 50 + code := 6455288723430124830 + certificate := .residual 3911410038171667 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 818 + code := 3714161053206078750 + certificate := .residual 118598088034162 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1074 + code := 5155452660235791390 + certificate := .residual 2624568115565872 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5426 + code := 6428199790775558430 + certificate := .residual 2965185039579842 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5682 + code := 3858839152773227550 + certificate := .residual 2317464136286433 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 51 + code := 6032793555060337950 + certificate := .residual 709111550073811 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 819 + code := 5420526133700486430 + certificate := .residual 611299585722337 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1075 + code := 7180383273861934110 + certificate := .residual 3300931671773572 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5427 + code := 6141095314530689310 + certificate := .residual 2315359605441125 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5683 + code := 5564643482337469470 + certificate := .residual 347259562000626 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 52 + code := 6024064678276312350 + certificate := .residual 3724737840579622 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 820 + code := 6427636857809429790 + certificate := .residual 4189839890960417 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1076 + code := 3145158248256138270 + certificate := .residual 3361557312056833 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5428 + code := 5564643358320288030 + certificate := .residual 3598608540748482 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5684 + code := 3726892852872668190 + certificate := .residual 3361542279613952 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 53 + code := 8256604219807837470 + certificate := .residual 3911410038171668 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 821 + code := 5996980143442126110 + certificate := .residual 4194259424888853 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1077 + code := 5446477755433774110 + certificate := .residual 316422467528948 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5429 + code := 6137730808949694750 + certificate := .residual 4231665620502210 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5685 + code := 3726884031244723230 + certificate := .residual 2317584399040736 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 54 + code := 7685068156178607390 + certificate := .residual 4411569478585475 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 822 + code := 3139951963814257950 + certificate := .residual 620078509885409 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1078 + code := 8190295425286302750 + certificate := .residual 316422467528947 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5430 + code := 5563521856459956510 + certificate := .residual 4038048494102341 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5686 + code := 3726877459944760350 + certificate := .residual 2949722519647014 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 55 + code := 8406750222435298590 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 1 0 2 5 6 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 823 + code := 5996977953008805150 + certificate := .residual 127256749442930 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1079 + code := 6164258437479951390 + certificate := .residual 4409479976808715 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5431 + code := 2852284537808544030 + certificate := .residual 1995216640734242 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5687 + code := 3292511242470220830 + certificate := .residual 3302014003546503 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData07.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData07.lean new file mode 100644 index 000000000..aef9e76c2 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData07.lean @@ -0,0 +1,421 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 56–63 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets07 : Array (List PatternEntry) := #[ + [ + { origin := 56 + mask := 176093669632 + certificate := .sharedThree 1 4 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 312 + mask := 163212043264 + certificate := .k4 1 [1, 2, 4] 1 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 568 + mask := 37154696938570752 + certificate := .k4 1 [1, 2, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 824 + mask := 51875741724 + certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1336 + mask := 13533218616639488 + certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 57 + mask := 176096346112 + certificate := .sharedThree 2 4 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 569 + mask := 37154700227248128 + certificate := .k4 2 [2, 3, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 825 + mask := 51876266012 + certificate := .k4 0 [0, 2, 4, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1337 + mask := 13533218617688064 + certificate := .k4 2 [2, 5, 4, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1849 + mask := 10214463028866048 + certificate := .k4 1 [1, 5, 6, 2] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2105 + mask := 1369094840779997206 + certificate := .k4 0 [0, 2, 4, 7] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2361 + mask := 21559905310 + certificate := .k4 0 [0, 3, 4, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4409 + mask := 6597358657822 + certificate := .k4 0 [0, 1, 3, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8761 + mask := 5233258635471103246 + certificate := .k4 0 [0, 1, 3, 7, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 58 + mask := 287767199744 + certificate := .sharedThree 2 4 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 570 + mask := 37155538753028096 + certificate := .k4 2 [2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 826 + mask := 3298537055494 + certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1082 + mask := 3452467122012160 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1338 + mask := 13537498277871616 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3130 + mask := 4785366667183366 + certificate := .k4 0 [0, 1, 2, 4, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5178 + mask := 5657434005766172 + certificate := .k4 0 [0, 2, 6, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 59 + mask := 288886882304 + certificate := .sharedThree 3 4 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 315 + mask := 172674777088 + certificate := .k4 2 [2, 3, 4] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 571 + mask := 37370201219530752 + certificate := .k4 2 [2, 5, 6] 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 827 + mask := 3298537121030 + certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2107 + mask := 1369094862247362582 + certificate := .k4 0 [0, 2, 4, 7] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4923 + mask := 159021175801106 + certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 60 + mask := 296352761088 + certificate := .sharedThree 1 4 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 572 + mask := 37717646887797760 + certificate := .k4 1 [1, 2, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 828 + mask := 3298537185542 + certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1084 + mask := 3452468191559680 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1340 + mask := 13537635179954176 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1596 + mask := 92513600955392 + certificate := .k4 1 [1, 2, 4, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2108 + mask := 1369094879711330330 + certificate := .k4 0 [0, 3, 4, 7] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8764 + mask := 5234308669077873930 + certificate := .k4 0 [0, 1, 3, 2, 7, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 61 + mask := 297510371328 + certificate := .sharedThree 3 4 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 573 + mask := 37717646891860992 + certificate := .k4 1 [1, 6, 2] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 829 + mask := 3298537186310 + certificate := .k4 0 [0, 2, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1341 + mask := 13537635448389632 + certificate := .k4 3 [3, 5, 4, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1597 + mask := 92515279044608 + certificate := .k4 2 [2, 3, 4, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2109 + mask := 1441152439113941014 + certificate := .k4 0 [0, 2, 7, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2365 + mask := 21577075742 + certificate := .k4 0 [0, 4, 2, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2877 + mask := 844743042941210 + certificate := .k4 0 [0, 1, 3, 6, 4] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7997 + mask := 5066867509641502 + certificate := .k4 0 [0, 1, 2, 6, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8765 + mask := 5801199824058010654 + certificate := .k4 0 [0, 2, 4, 7, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10045 + mask := 5233821585424540686 + certificate := .k4 0 [0, 3, 7, 6, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 318 + mask := 181227497472 + certificate := .k4 1 [1, 3, 4] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 830 + mask := 3299088541962 + certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1086 + mask := 3456865168523264 + certificate := .k4 2 [2, 3, 6, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1598 + mask := 92638157013012 + certificate := .k4 0 [0, 2, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2110 + mask := 1441152443408842774 + certificate := .k4 0 [0, 4, 7, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4414 + mask := 6597408989470 + certificate := .k4 0 [0, 1, 5, 2, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8766 + mask := 5801199824141306910 + certificate := .k4 0 [0, 3, 4, 7, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 63 + mask := 313537396736 + certificate := .sharedThree 2 4 0 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 575 + mask := 37717646891991040 + certificate := .k4 1 [1, 6, 2] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 831 + mask := 3299105319178 + certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2111 + mask := 1441152456292761622 + certificate := .k4 0 [0, 2, 7, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2879 + mask := 1407374938229774 + certificate := .k4 0 [0, 3, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6719 + mask := 9649327769141530 + certificate := .k4 0 [0, 1, 4, 6, 5, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8767 + mask := 5801199871302648094 + certificate := .k4 0 [0, 1, 2, 6, 7, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets07 : Array (List HardEntry) := #[ + [ + { origin := 56 + code := 6020124028603280670 + certificate := .residual 3919108499073152 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1080 + code := 6425463230137789470 + certificate := .residual 2983815835859488 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5432 + code := 4157540745662357790 + certificate := .residual 1007216833091504 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5688 + code := 3284630063381406750 + certificate := .residual 347139299246322 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 57 + code := 6027726611954085150 + certificate := .residual 3919108499073153 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1081 + code := 8185652733411486750 + certificate := .residual 1243633049837364 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5433 + code := 3284067126346440990 + certificate := .residual 1378663402953762 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5689 + code := 6141095301645788190 + certificate := .residual 2317584399040737 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 58 + code := 8401969528966360350 + certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 6 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1082 + code := 7176861810043284510 + certificate := .residual 1487082567597761 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5434 + code := 6455288481650499870 + certificate := .residual 935767886174128 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5690 + code := 5155451889234600990 + certificate := .residual 4377603802688147 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 59 + code := 6455284342312807710 + certificate := .residual 4403871017683987 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1083 + code := 5132363918658923550 + certificate := .residual 1261221073035057 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5435 + code := 6453036656301891870 + certificate := .residual 4408532936632841 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5691 + code := 3281954555917624350 + certificate := .residual 4325651870951828 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 60 + code := 7173065174095637790 + certificate := .residual 3911410038171664 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1084 + code := 3862340685314288670 + certificate := .residual 2923477778371360 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5436 + code := 5591723227567284510 + certificate := .residual 4408532936632840 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5692 + code := 5600379139785876510 + certificate := .residual 4394921110841748 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 61 + code := 7175740309239901470 + certificate := .residual 3911410038171665 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1085 + code := 7148858078349388830 + certificate := .residual 3300931671773569 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5437 + code := 6461693248786325790 + certificate := .residual 278426265174512 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5693 + code := 2862190729553372190 + certificate := .residual 4308334562798227 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 62 + code := 8404783183248764190 + certificate := .residual 226269360933619 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1086 + code := 7148789079699778590 + certificate := .residual 3303111367862661 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5438 + code := 4155298310807281950 + certificate := .residual 1006134501218224 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5694 + code := 5446497545397396510 + certificate := .residual 1755613694320864 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 63 + code := 7395988974230580510 + certificate := .residual 4348042613567750 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1087 + code := 6460844003279662110 + certificate := .residual 752132264057780 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5439 + code := 4146632896694903070 + certificate := .residual 279508604273136 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5695 + code := 5444245720048788510 + certificate := .residual 3915711179795968 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData08.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData08.lean new file mode 100644 index 000000000..f41a559a6 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData08.lean @@ -0,0 +1,409 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 64–71 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets08 : Array (List PatternEntry) := #[ + [ + { origin := 64 + mask := 416611852544 + certificate := .sharedThree 1 4 0 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 320 + mask := 189586210816 + certificate := .k4 2 [2, 3, 4] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 832 + mask := 3299122094346 + certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1088 + mask := 3456866238070784 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2112 + mask := 1441152460587663382 + certificate := .k4 0 [0, 4, 7, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2368 + mask := 25821318174 + certificate := .k4 0 [0, 3, 1, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6464 + mask := 2834705594477568 + certificate := .k4 1 [1, 5, 6, 4, 3] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10560 + mask := 2896025952265109534 + certificate := .k4 0 [0, 2, 3, 7, 5, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 321 + mask := 189787537408 + certificate := .k4 2 [2, 4, 3] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 577 + mask := 38280600134090752 + certificate := .k4 2 [2, 3, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 833 + mask := 3299122096138 + certificate := .k4 0 [0, 3, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1345 + mask := 13583787556364288 + certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1601 + mask := 92687276441600 + certificate := .k4 2 [2, 4, 5, 3] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2113 + mask := 1441152464884138012 + certificate := .k4 0 [0, 2, 7, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3137 + mask := 5066833049765142 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4417 + mask := 6635728150814 + certificate := .k4 0 [0, 1, 4, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7233 + mask := 13593708930801946 + certificate := .k4 0 [0, 1, 5, 6, 4] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7745 + mask := 97049658853638 + certificate := .k4 0 [0, 1, 2, 3, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9793 + mask := 2450116668748891166 + certificate := .k4 0 [0, 3, 4, 5, 7, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 578 + mask := 38281459315769344 + certificate := .k4 3 [3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1090 + mask := 3659174785384460 + certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1346 + mask := 13585720298962944 + certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1602 + mask := 92775593869332 + certificate := .k4 0 [0, 2, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2114 + mask := 1441152469179039772 + certificate := .k4 0 [0, 4, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 67 + mask := 420913217536 + certificate := .sharedThree 2 4 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 579 + mask := 38500502916300800 + certificate := .k4 3 [3, 5, 6] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1091 + mask := 3659174785843212 + certificate := .k4 0 [0, 3, 2, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3139 + mask := 5066837344732182 + certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5187 + mask := 6755679788338206 + certificate := .k4 0 [0, 4, 6, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5699 + mask := 37154697022980362 + certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8771 + mask := 5801762812669790494 + certificate := .k4 0 [0, 1, 2, 6, 7, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 68 + mask := 422550962176 + certificate := .sharedThree 3 4 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 836 + mask := 3448858747154 + certificate := .k4 0 [0, 1, 4, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1348 + mask := 13585995174772736 + certificate := .k4 2 [2, 4, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2116 + mask := 1441152486357860380 + certificate := .k4 0 [0, 4, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2628 + mask := 13194729358606 + certificate := .k4 0 [0, 1, 3, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2884 + mask := 1407376011905038 + certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4164 + mask := 2594218521479752704 + certificate := .k4 1 [1, 2, 3, 7, 5] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 69 + mask := 429496755200 + certificate := .sharedThree 1 4 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1093 + mask := 3659175792476172 + certificate := .k4 0 [0, 3, 6, 2] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1605 + mask := 96930238038016 + certificate := .k4 2 [2, 3, 4, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5189 + mask := 6755679788990494 + certificate := .k4 0 [0, 4, 6, 3, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6469 + mask := 3096246224437534 + certificate := .k4 0 [0, 1, 4, 6, 2] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6725 + mask := 9650413557214222 + certificate := .k4 0 [0, 2, 1, 6, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 70 + mask := 431174451200 + certificate := .sharedThree 3 4 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 838 + mask := 5497560311046 + certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1094 + mask := 3659175838679052 + certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1606 + mask := 97038091943960 + certificate := .k4 0 [0, 3, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4422 + mask := 6648613052702 + certificate := .k4 0 [0, 1, 5, 2, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5702 + mask := 37154718414455058 + certificate := .k4 0 [0, 1, 4, 2, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 71 + mask := 446676625408 + certificate := .sharedThree 1 4 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 327 + mask := 293472829440 + certificate := .k4 2 [2, 3, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 583 + mask := 38843550040899584 + certificate := .k4 1 [1, 6, 3] 1 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 839 + mask := 5497560376582 + certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1607 + mask := 97072183246872 + certificate := .k4 0 [0, 3, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6471 + mask := 3096277630992646 + certificate := .k4 0 [0, 1, 6, 3, 4, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8775 + mask := 5802888696483022110 + certificate := .k4 0 [0, 1, 3, 6, 7, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets08 : Array (List HardEntry) := #[ + [ + { origin := 64 + code := 8400275203023187230 + certificate := .residual 779325855812563 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1088 + code := 6459722501419330590 + certificate := .residual 933047028627393 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5440 + code := 4155289489179336990 + certificate := .residual 4346960281807369 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5696 + code := 5442556895958328350 + certificate := .residual 3512536927900454 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 65 + code := 6166495397074709790 + certificate := .residual 4277794395533350 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1089 + code := 4145503412625239070 + certificate := .residual 760926224276401 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5441 + code := 3290611554863735070 + certificate := .residual 4346960281807368 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5697 + code := 3150432631065338910 + certificate := .residual 1755733957075168 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 66 + code := 5157689080778599710 + certificate := .residual 4411569478585472 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1090 + code := 3145018612410117150 + certificate := .residual 3363706943147269 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5442 + code := 6141164599685341470 + certificate := .residual 3795812839861506 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5698 + code := 3150423809437393950 + certificate := .residual 3361557312056832 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 67 + code := 5162203559574908190 + certificate := .residual 4403871017683984 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1091 + code := 3136574491957816350 + certificate := .residual 1231190103736098 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5443 + code := 3867564906395132190 + certificate := .residual 3303231626947842 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5699 + code := 3150417238137431070 + certificate := .residual 2949724398752550 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 68 + code := 5442550540468235550 + certificate := .residual 3919108499073160 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1092 + code := 6163132298061573150 + certificate := .residual 2053936852036272 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5444 + code := 5417224136780079390 + certificate := .residual 271808235357680 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5700 + code := 6141161301150458910 + certificate := .residual 3795692580776327 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 69 + code := 5155446064223366430 + certificate := .residual 3919108499073161 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1093 + code := 5131176447107558430 + certificate := .residual 746442617330594 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5445 + code := 3150353454651859230 + certificate := .residual 263029311194608 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5701 + code := 3866720481465000990 + certificate := .residual 3303111367862663 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 70 + code := 5442549445251575070 + certificate := .residual 3919108499073162 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1094 + code := 2852407912913464350 + certificate := .residual 4317250646643985 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5446 + code := 3858978275153076510 + certificate := .residual 4347907321983234 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5702 + code := 3858839182586864670 + certificate := .residual 277870066581746 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 71 + code := 5155444969006705950 + certificate := .residual 3124964257345960 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1095 + code := 5446477729664363550 + certificate := .residual 316422467528945 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5447 + code := 3862203688218190110 + certificate := .residual 1479389748428370 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5703 + code := 5564643512151106590 + certificate := .residual 1755733957075169 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData09.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData09.lean new file mode 100644 index 000000000..ca2514885 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData09.lean @@ -0,0 +1,385 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 72–79 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets09 : Array (List PatternEntry) := #[ + [ + { origin := 584 + mask := 39406498967191552 + certificate := .k4 2 [2, 3, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 840 + mask := 5497560441094 + certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1352 + mask := 13590411738087424 + certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1864 + mask := 10696049117193478 + certificate := .k4 0 [0, 1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2120 + mask := 1729382822000459802 + certificate := .k4 0 [0, 4, 7, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 73 + mask := 562649300992 + certificate := .sharedThree 2 4 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 585 + mask := 39406499973824512 + certificate := .k4 2 [2, 6, 3] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 841 + mask := 5497560441862 + certificate := .k4 0 [0, 2, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1097 + mask := 4785353782263828 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1609 + mask := 97084253405184 + certificate := .k4 2 [2, 4, 3, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1865 + mask := 10696049117323526 + certificate := .k4 0 [0, 1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3145 + mask := 5066850228715798 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4425 + mask := 7735538101270 + certificate := .k4 0 [0, 4, 3, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6217 + mask := 92513601020166 + certificate := .k4 0 [0, 1, 2, 4, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 74 + mask := 564838531072 + certificate := .sharedThree 3 4 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 330 + mask := 300653102080 + certificate := .k4 1 [1, 2, 4] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 586 + mask := 39406500036739072 + certificate := .k4 2 [2, 3, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 842 + mask := 5498114473996 + certificate := .k4 0 [0, 2, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1098 + mask := 4785355135909912 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1610 + mask := 97174994026520 + certificate := .k4 0 [0, 3, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1866 + mask := 10696049121371398 + certificate := .k4 0 [0, 1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2122 + mask := 1729382830623948828 + certificate := .k4 0 [0, 4, 7, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6218 + mask := 92515228778508 + certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6474 + mask := 3096526533968146 + certificate := .k4 0 [0, 1, 6, 3, 2, 4] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 587 + mask := 39406500040409088 + certificate := .k4 2 [2, 6, 3] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2123 + mask := 1729382851813572634 + certificate := .k4 0 [0, 3, 7, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2635 + mask := 13216423346204 + certificate := .k4 0 [0, 4, 2, 5, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 76 + mask := 573462020096 + certificate := .sharedThree 3 4 0 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1100 + mask := 4785362366906642 + certificate := .k4 0 [0, 1, 4, 6] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1612 + mask := 142939274224640 + certificate := .k4 1 [1, 2, 5, 3] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2124 + mask := 1729382856091762714 + certificate := .k4 0 [0, 4, 7, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6220 + mask := 92532676034572 + certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6476 + mask := 3096551162462494 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6732 + mask := 9654812157174798 + certificate := .k4 0 [0, 3, 5, 6, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8780 + mask := 5810207023318574354 + certificate := .k4 0 [0, 1, 4, 2, 7, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10060 + mask := 5802888675058715678 + certificate := .k4 0 [0, 2, 4, 1, 7, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 333 + mask := 310652698624 + certificate := .k4 2 [2, 3, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 589 + mask := 40533238473555968 + certificate := .k4 2 [2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8781 + mask := 5810769973267817746 + certificate := .k4 0 [0, 1, 4, 2, 7, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9805 + mask := 2460302402738880782 + certificate := .k4 0 [0, 1, 3, 7, 5, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 78 + mask := 588419497984 + certificate := .sharedThree 2 4 0 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 590 + mask := 40533259129454592 + certificate := .k4 3 [3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 846 + mask := 5639295270932 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1102 + mask := 4785366667165716 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1614 + mask := 143640897922048 + certificate := .k4 1 [1, 2, 5, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 79 + mask := 691489775872 + certificate := .sharedThree 1 4 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 591 + mask := 40762057137586176 + certificate := .k4 4 [4, 5, 6] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 847 + mask := 5652180172820 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1103 + mask := 4785370961084436 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1359 + mask := 13599070929027072 + certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5199 + mask := 6755701180465182 + certificate := .k4 0 [0, 3, 6, 4, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets09 : Array (List HardEntry) := #[ + [ + { origin := 72 + code := 7395849338384559390 + certificate := .residual 1988157039375808 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1096 + code := 5450925404522572830 + certificate := .residual 4346719763574277 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5448 + code := 4147065160742396190 + certificate := .residual 2183194900947538 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5704 + code := 3280828673173939230 + certificate := .residual 1007254448117683 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 73 + code := 7389091843033017630 + certificate := .residual 129319945053040 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1097 + code := 5162695045550730270 + certificate := .residual 2508035153971762 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5449 + code := 3285751732007788830 + certificate := .residual 4161210715195079 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5705 + code := 3284630093195043870 + certificate := .residual 1755613694320865 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 74 + code := 6166494858022759710 + certificate := .residual 2059470678193712 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1098 + code := 5131229325436677150 + certificate := .residual 3262818903856402 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5450 + code := 3858839182637195550 + certificate := .residual 4349155010119820 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5706 + code := 6141095331459425310 + certificate := .residual 277990329336050 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 75 + code := 6164251841467526430 + certificate := .residual 620939081163744 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1099 + code := 5131238018718919710 + certificate := .residual 837909096354738 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5451 + code := 3284630230147457310 + certificate := .residual 2675488465555026 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5707 + code := 5600374758902522910 + certificate := .residual 936902869129139 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 76 + code := 6461140884774923550 + certificate := .residual 1202434926124884 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1100 + code := 8181864353213475870 + certificate := .residual 1346467693059776 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5452 + code := 6141095468411838750 + certificate := .residual 3668975137729218 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5708 + code := 6172627260742886430 + certificate := .residual 4403716935715217 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 77 + code := 6171789023942749470 + certificate := .residual 2077096158814771 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1101 + code := 8184107220032056350 + certificate := .residual 3902339872237968 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5453 + code := 6425956940936044830 + certificate := .residual 2965170007136962 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5709 + code := 5164104614118220830 + certificate := .residual 2468796906851412 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 78 + code := 7681264814949346590 + certificate := .residual 1202449987870548 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1102 + code := 7148782482630405150 + certificate := .residual 1394214353296690 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5454 + code := 5564643512201437470 + certificate := .residual 1752426831602277 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5710 + code := 3860651038767375390 + certificate := .residual 4334447695825297 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 79 + code := 7391912954117172510 + certificate := .residual 2077111220560435 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1103 + code := 5995852285009751070 + certificate := .residual 1835341575158225 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5455 + code := 6137730962830844190 + certificate := .residual 4046707148285765 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5711 + code := 2852408767607792670 + certificate := .residual 2469879245950036 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData10.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData10.lean new file mode 100644 index 000000000..1348357b6 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData10.lean @@ -0,0 +1,437 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 80–87 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets10 : Array (List PatternEntry) := #[ + [ + { origin := 80 + mask := 691500285952 + certificate := .sharedThree 2 4 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 336 + mask := 319203330048 + certificate := .k4 1 [1, 3, 4] 1 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1104 + mask := 4785370962067476 + certificate := .k4 0 [0, 4, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1616 + mask := 143661052471296 + certificate := .k4 1 [1, 3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3152 + mask := 5066867458720026 + certificate := .k4 0 [0, 1, 3, 6, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6736 + mask := 9658256168534294 + certificate := .k4 0 [0, 1, 2, 6, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 81 + mask := 694190866432 + certificate := .sharedThree 3 4 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 849 + mask := 5656475074580 + certificate := .k4 0 [0, 4, 2, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1105 + mask := 4785385200680984 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1361 + mask := 13601104864501760 + certificate := .k4 1 [1, 5, 4, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2385 + mask := 38957286686 + certificate := .k4 0 [0, 1, 2, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4177 + mask := 2594224018553307148 + certificate := .k4 0 [0, 3, 2, 7, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6225 + mask := 92646741796114 + certificate := .k4 0 [0, 1, 4, 2, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8785 + mask := 6954280203802722582 + certificate := .k4 0 [0, 1, 2, 6, 7, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9809 + mask := 2460302415573975318 + certificate := .k4 0 [0, 1, 4, 7, 5, 6, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 82 + mask := 695795318784 + certificate := .sharedThree 2 4 1 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 338 + mask := 327564132352 + certificate := .k4 2 [2, 3, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 850 + mask := 6597640858624 + certificate := .k4 1 [1, 2, 3, 5] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1106 + mask := 4785389227212824 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2386 + mask := 38957288478 + certificate := .k4 0 [0, 2, 4, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3154 + mask := 5066867693602842 + certificate := .k4 0 [0, 3, 4, 6, 1] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4178 + mask := 2594232836036821012 + certificate := .k4 0 [0, 2, 4, 7, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6226 + mask := 92663922581778 + certificate := .k4 0 [0, 1, 4, 2, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9298 + mask := 9658282239673614 + certificate := .k4 0 [0, 1, 2, 6, 5, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 83 + mask := 698502610944 + certificate := .sharedThree 3 4 1 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 339 + mask := 327765458944 + certificate := .k4 2 [2, 4, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 595 + mask := 41096179823460352 + certificate := .k4 1 [1, 6, 4] 1 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 851 + mask := 6597642824704 + certificate := .k4 1 [1, 3, 5, 2] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1107 + mask := 4785389478871064 + certificate := .k4 0 [0, 4, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1363 + mask := 13601242303455232 + certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2387 + mask := 38957352222 + certificate := .k4 0 [0, 1, 4, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4179 + mask := 2594232836037804052 + certificate := .k4 0 [0, 4, 2, 7, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7251 + mask := 14074028014773526 + certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 84 + mask := 704374678528 + certificate := .sharedThree 1 4 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 340 + mask := 327831519232 + certificate := .k4 2 [2, 3, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 596 + mask := 41658863502491648 + certificate := .k4 2 [2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2388 + mask := 38957354014 + certificate := .k4 0 [0, 4, 3, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3412 + mask := 9650414110664714 + certificate := .k4 0 [0, 3, 5, 6, 1] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4180 + mask := 2595975540491969536 + certificate := .k4 1 [1, 5, 6, 7, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4692 + mask := 88102670591250 + certificate := .k4 0 [0, 1, 4, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5716 + mask := 39406498916992266 + certificate := .k4 0 [0, 1, 3, 2, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 85 + mask := 707126099968 + certificate := .sharedThree 3 4 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 597 + mask := 41659121200529408 + certificate := .k4 2 [2, 6, 4] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 853 + mask := 6597674413056 + certificate := .k4 1 [1, 2, 5, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1365 + mask := 13603312483958784 + certificate := .k4 2 [2, 5, 4, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2133 + mask := 2450169303528563712 + certificate := .k4 1 [1, 2, 7, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4693 + mask := 88102670656532 + certificate := .k4 0 [0, 2, 4, 1, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6485 + mask := 3377726586094878 + certificate := .k4 0 [0, 1, 3, 6, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8533 + mask := 14637008314066186 + certificate := .k4 0 [0, 1, 3, 2, 4, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 598 + mask := 41659138376204288 + certificate := .k4 2 [2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1622 + mask := 145860111892480 + certificate := .k4 2 [2, 3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2390 + mask := 38990449694 + certificate := .k4 0 [0, 2, 4, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2902 + mask := 1688849915331854 + certificate := .k4 0 [0, 1, 3, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4182 + mask := 2603859038865220608 + certificate := .k4 1 [1, 6, 5, 7, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5462 + mask := 11347141511348250 + certificate := .k4 0 [0, 3, 6, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8790 + mask := 6954834357664164110 + certificate := .k4 0 [0, 1, 2, 6, 7, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 87 + mask := 721565515776 + certificate := .sharedThree 2 4 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 599 + mask := 41659138379350016 + certificate := .k4 2 [2, 6, 4] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1367 + mask := 13603449922912256 + certificate := .k4 2 [2, 5, 6, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1623 + mask := 145877225177088 + certificate := .k4 2 [2, 4, 5, 3] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2903 + mask := 1688849915333646 + certificate := .k4 0 [0, 3, 1, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4439 + mask := 10995923231006 + certificate := .k4 0 [0, 1, 2, 5, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5719 + mask := 40532675832038420 + certificate := .k4 0 [0, 2, 4, 1, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7255 + mask := 14074040900723974 + certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets10 : Array (List HardEntry) := #[ + [ + { origin := 80 + code := 7181721629143215390 + certificate := .residual 1434001270554048 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1104 + code := 3865150934157388830 + certificate := .residual 2466098654466387 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5456 + code := 5563522010341105950 + certificate := .residual 4161314055964354 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5712 + code := 6139472451290588190 + certificate := .residual 3280015953037714 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 81 + code := 7684084094901300510 + certificate := .residual 1434003178962368 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1105 + code := 5131230155405552670 + certificate := .residual 2277607609955554 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5457 + code := 3858276241273708830 + certificate := .residual 1440236054166562 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5713 + code := 3866713884395627550 + certificate := .residual 3772597165951378 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 82 + code := 6459170576917474590 + certificate := .residual 3911410038171666 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1106 + code := 3865016222508149790 + certificate := .residual 2457440067492148 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5458 + code := 2850032866341085470 + certificate := .residual 2487797850035234 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5714 + code := 3858832585517491230 + certificate := .residual 3685168810169621 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 83 + code := 7176861673663376670 + certificate := .residual 4403991276775442 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1107 + code := 3721463984385715230 + certificate := .residual 2762492304913601 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5459 + code := 6176842108091162910 + certificate := .residual 4409479976808706 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5715 + code := 3284623633027752990 + certificate := .residual 3678569492256289 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 84 + code := 7688143357060066590 + certificate := .residual 4411569478585476 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1108 + code := 7148773669558840350 + certificate := .residual 2448646004513073 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5460 + code := 4149308027560976670 + certificate := .residual 3527982536284866 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5716 + code := 2850165361737262110 + certificate := .residual 1977298036649044 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 85 + code := 7679699108262063390 + certificate := .residual 4411569478585473 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1109 + code := 5419387134861143070 + certificate := .residual 2969521916484257 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5461 + code := 3862203551316107550 + certificate := .residual 4046724067059525 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5717 + code := 2850026269221381150 + certificate := .residual 1977298036649041 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 86 + code := 5164102519270944030 + certificate := .residual 138097067231088 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1110 + code := 5131161156755942430 + certificate := .residual 2972874238990997 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5462 + code := 3285751595105706270 + certificate := .residual 4161451237492418 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5718 + code := 3281946859336688670 + certificate := .residual 4325651870951825 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 87 + code := 8190575916684422430 + certificate := .residual 3918988239981700 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1111 + code := 6171492125234457630 + certificate := .residual 822483828394929 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5463 + code := 3858839045735112990 + certificate := .residual 3106025427053250 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5719 + code := 5560768545664066590 + certificate := .residual 3271220128164242 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData11.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData11.lean new file mode 100644 index 000000000..aec5948bd --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData11.lean @@ -0,0 +1,385 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 88–95 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets11 : Array (List PatternEntry) := #[ + [ + { origin := 88 + mask := 828928737536 + certificate := .sharedThree 1 4 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 600 + mask := 42784784065232896 + certificate := .k4 3 [3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1368 + mask := 13607729046224896 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1880 + mask := 11331566840736768 + certificate := .k4 1 [1, 2, 5, 6] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2136 + mask := 2450173701575073792 + certificate := .k4 1 [1, 7, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4952 + mask := 161115782783242 + certificate := .k4 0 [0, 1, 3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 89 + mask := 828941336576 + certificate := .sharedThree 2 4 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 601 + mask := 42785024583401472 + certificate := .k4 3 [3, 6, 4] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1369 + mask := 13607729314660352 + certificate := .k4 3 [3, 5, 4, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1625 + mask := 147334566748422 + certificate := .k4 0 [0, 1, 2, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2137 + mask := 2450178101259329536 + certificate := .k4 1 [1, 7, 5, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2393 + mask := 38991430942 + certificate := .k4 0 [0, 1, 4, 2, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2905 + mask := 1688849915461902 + certificate := .k4 0 [0, 1, 3, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4441 + mask := 10995990274334 + certificate := .k4 0 [0, 1, 5, 3, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 90 + mask := 832166690816 + certificate := .sharedThree 3 4 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 602 + mask := 42785057869398016 + certificate := .k4 3 [3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2138 + mask := 2450187316614979584 + certificate := .k4 1 [1, 7, 5, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3930 + mask := 14724956074082324 + certificate := .k4 0 [0, 2, 4, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5210 + mask := 6769973942812700 + certificate := .k4 0 [0, 4, 6, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7002 + mask := 11334866461467662 + certificate := .k4 0 [0, 2, 3, 1, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9818 + mask := 2461428303765143822 + certificate := .k4 0 [0, 1, 2, 7, 5, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 91 + mask := 833236369408 + certificate := .sharedThree 2 4 1 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 603 + mask := 42785058674704384 + certificate := .k4 3 [3, 6, 4] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1115 + mask := 5066850233762816 + certificate := .k4 1 [1, 6, 4, 2] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1371 + mask := 13607866753613824 + certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2907 + mask := 1688849948429326 + certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6491 + mask := 3377726871371806 + certificate := .k4 0 [0, 2, 4, 6, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7003 + mask := 11334866463499278 + certificate := .k4 0 [0, 3, 6, 5, 2, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10075 + mask := 5810282889614484502 + certificate := .k4 0 [0, 4, 7, 6, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10587 + mask := 3468546323312626718 + certificate := .k4 0 [0, 2, 4, 7, 5, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 92 + mask := 836478435328 + certificate := .sharedThree 3 4 1 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 348 + mask := 575535219712 + certificate := .k4 1 [1, 2, 4] 1 2 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 604 + mask := 45249301529550848 + certificate := .k4 1 [1, 5, 6] 1 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7260 + mask := 14149894310749206 + certificate := .k4 0 [0, 4, 6, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8796 + mask := 6955955860610753806 + certificate := .k4 0 [0, 1, 3, 6, 7, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9820 + mask := 2461428316851175706 + certificate := .k4 0 [0, 1, 4, 7, 5, 6, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 93 + mask := 841813640192 + certificate := .sharedThree 1 4 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 605 + mask := 45251500567429120 + certificate := .k4 2 [2, 5, 6] 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1629 + mask := 147337318638592 + certificate := .k4 1 [1, 2, 5, 3] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 94 + mask := 845101924352 + certificate := .sharedThree 3 4 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 606 + mask := 45255902357356544 + certificate := .k4 3 [3, 5, 6] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 862 + mask := 7696581599494 + certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2398 + mask := 43236001054 + certificate := .k4 0 [0, 1, 2, 3, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2654 + mask := 14294207046670 + certificate := .k4 0 [0, 3, 5, 2, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8798 + mask := 6956234035966845198 + certificate := .k4 0 [0, 1, 2, 5, 7, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 607 + mask := 45265656764956672 + certificate := .k4 4 [4, 5, 6] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 863 + mask := 7696581600262 + certificate := .k4 0 [0, 2, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1119 + mask := 5066868750567424 + certificate := .k4 1 [1, 6, 4, 3] 1 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1375 + mask := 14161855794667520 + certificate := .k4 1 [1, 6, 5, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1631 + mask := 148038942336000 + certificate := .k4 1 [1, 2, 5, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6239 + mask := 96912807100428 + certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets11 : Array (List HardEntry) := #[ + [ + { origin := 88 + code := 6028848096049900830 + certificate := .residual 3918988239981697 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1112 + code := 3858394538300697630 + certificate := .residual 831277788613556 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5464 + code := 3284630093245374750 + certificate := .residual 1752291532792421 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5720 + code := 6137154788874839070 + certificate := .residual 3045388487022113 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 89 + code := 7676196318743112990 + certificate := .residual 129318065997680 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1113 + code := 3857273036440366110 + certificate := .residual 1012192553183169 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5465 + code := 6428199807754625310 + certificate := .residual 2183179864891986 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5721 + code := 5560702832664437790 + certificate := .residual 3051987804935445 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 90 + code := 6027669437570100510 + certificate := .residual 4411569478585474 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1114 + code := 5131229055910702110 + certificate := .residual 3916898738204933 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5466 + code := 6141095331509756190 + certificate := .residual 4410727664945292 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5722 + code := 5128357294206673950 + certificate := .residual 2468796906851409 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 91 + code := 7391345605866958110 + certificate := .residual 3918988239981698 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1115 + code := 5131161152477752350 + certificate := .residual 1785208665339682 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5467 + code := 5564643375299354910 + certificate := .residual 2605136886566482 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5723 + code := 6139406481599554590 + certificate := .residual 3122356281021717 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 92 + code := 6026825012690300190 + certificate := .residual 4411689737676935 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1116 + code := 5131238848687795230 + certificate := .residual 3793512884687234 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5468 + code := 6137730825928761630 + certificate := .residual 1549756363472466 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5724 + code := 5562954525389153310 + certificate := .residual 3115756963108385 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 93 + code := 7175172823803505950 + certificate := .residual 3919108499073159 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1117 + code := 5419400209010027550 + certificate := .residual 1422509054762658 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5469 + code := 5563521873439023390 + certificate := .residual 4161193796421319 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5725 + code := 5166346941884851230 + certificate := .residual 1976215697550420 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 94 + code := 6024064411992403230 + certificate := .residual 1505314909371952 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1118 + code := 3716956004160138270 + certificate := .residual 4249375660746946 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5470 + code := 6141093141076435230 + certificate := .residual 1441333429320738 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5726 + code := 5130600165303444510 + certificate := .residual 1976215697550417 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 95 + code := 6454720852555541790 + certificate := .residual 1505316817780272 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1119 + code := 3857143736701578270 + certificate := .residual 3475218863138626 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5471 + code := 5132289015213646110 + certificate := .residual 2486835773690914 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5727 + code := 5598408814949360670 + certificate := .residual 4394921110841745 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData12.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData12.lean new file mode 100644 index 000000000..686345091 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData12.lean @@ -0,0 +1,397 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 96–103 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets12 : Array (List PatternEntry) := #[ + [ + { origin := 96 + mask := 859006566400 + certificate := .sharedThree 2 4 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 608 + mask := 45741882738794496 + certificate := .k4 1 [1, 5, 6] 1 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2400 + mask := 43236066590 + certificate := .k4 0 [0, 1, 3, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2912 + mask := 1688862750426390 + certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6240 + mask := 96930214469898 + certificate := .k4 0 [0, 1, 3, 4, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7776 + mask := 145177153504530 + certificate := .k4 0 [0, 1, 4, 2, 3, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9824 + mask := 2463680403052134678 + certificate := .k4 0 [0, 1, 2, 7, 5, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10080 + mask := 7099229921754530830 + certificate := .k4 0 [0, 3, 5, 7, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 97 + mask := 962072731648 + certificate := .sharedThree 1 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 609 + mask := 45810052459716608 + certificate := .k4 1 [1, 6, 5] 1 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 865 + mask := 7696583566342 + certificate := .k4 0 [0, 2, 5, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1377 + mask := 14161993233620992 + certificate := .k4 1 [1, 6, 4, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4193 + mask := 2882449999265333260 + certificate := .k4 0 [0, 2, 3, 7, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4961 + mask := 162872166973464 + certificate := .k4 0 [0, 3, 4, 5, 2] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6241 + mask := 96930254356492 + certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10081 + mask := 7099238859027825686 + certificate := .k4 0 [0, 4, 5, 7, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 98 + mask := 962087354368 + certificate := .sharedThree 2 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2914 + mask := 1688862750491670 + certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9314 + mask := 10205688409631774 + certificate := .k4 0 [0, 4, 2, 6, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9826 + mask := 2463680420282138906 + certificate := .k4 0 [0, 1, 3, 7, 5, 6, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 99 + mask := 965830770688 + certificate := .sharedThree 3 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 867 + mask := 7696583631110 + certificate := .k4 0 [0, 1, 5, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1123 + mask := 5139538255044608 + certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2147 + mask := 2594225117981060096 + certificate := .k4 1 [1, 5, 7, 2] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8803 + mask := 6958212336553306394 + certificate := .k4 0 [0, 1, 4, 6, 7, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10083 + mask := 7100071048686642190 + certificate := .k4 0 [0, 3, 6, 7, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 100 + mask := 15393162788878 + certificate := .sharedThree 0 5 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 612 + mask := 46307031730094080 + certificate := .k4 2 [2, 5, 6] 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 868 + mask := 9896158308618 + certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1380 + mask := 14711877901746176 + certificate := .k4 2 [2, 6, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2148 + mask := 2594225118618189824 + certificate := .k4 2 [2, 7, 5, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4708 + mask := 88386132206612 + certificate := .k4 0 [0, 2, 4, 1, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5220 + mask := 7047871413100826 + certificate := .k4 0 [0, 1, 5, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8804 + mask := 6958485835781054742 + certificate := .k4 0 [0, 1, 2, 5, 7, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 101 + mask := 24189255811094 + certificate := .sharedThree 0 5 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 613 + mask := 46373002427760640 + certificate := .k4 2 [2, 6, 5] 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 869 + mask := 9896160985100 + certificate := .k4 0 [0, 2, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2405 + mask := 43252780310 + certificate := .k4 0 [0, 1, 2, 3, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3941 + mask := 216172782206746894 + certificate := .k4 0 [0, 1, 3, 7, 2] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4197 + mask := 2882453297348881408 + certificate := .k4 1 [1, 2, 3, 7, 5] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 102 + mask := 28587302322202 + certificate := .sharedThree 0 5 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 614 + mask := 46377400470077440 + certificate := .k4 2 [2, 5, 6] 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 870 + mask := 9896175085834 + certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3942 + mask := 216172784362553614 + certificate := .k4 0 [0, 1, 2, 7, 3] 0 1 3 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 103 + mask := 30786325577756 + certificate := .sharedThree 0 5 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 359 + mask := 603787886592 + certificate := .k4 2 [2, 4, 3] 2 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 615 + mask := 46377400472174592 + certificate := .k4 2 [2, 6, 5] 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 871 + mask := 9896191861002 + certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1127 + mask := 5154931417833472 + certificate := .k4 1 [1, 6, 4, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1383 + mask := 14724951783243776 + certificate := .k4 2 [2, 6, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3943 + mask := 216172803598221590 + certificate := .k4 0 [0, 1, 4, 7, 2] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4967 + mask := 163281783358738 + certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7271 + mask := 14434390528508186 + certificate := .k4 0 [0, 1, 6, 5, 3] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10087 + mask := 7102323126582682646 + certificate := .k4 0 [0, 4, 6, 7, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets12 : Array (List HardEntry) := #[ + [ + { origin := 96 + code := 6028799718126071070 + certificate := .residual 4411689737676930 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1120 + code := 2852278069844536350 + certificate := .residual 4170004660737221 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5472 + code := 6164806280117018910 + certificate := .residual 953327621082032 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5728 + code := 3292495849308349470 + certificate := .residual 3763801341077906 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 97 + code := 7679580362667797790 + certificate := .residual 3919108499073154 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1121 + code := 3713030747648977950 + certificate := .residual 2317405881600101 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5473 + code := 3867059112994464030 + certificate := .residual 1023696118844336 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5729 + code := 3858823622709273630 + certificate := .residual 3608201016170017 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 98 + code := 6463393094542306590 + certificate := .residual 4403871017683988 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1122 + code := 2851717318914370590 + certificate := .residual 2982865092065602 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5474 + code := 5590605597368705310 + certificate := .residual 945631039630256 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5730 + code := 3284614670219535390 + certificate := .residual 3614800334083349 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 99 + code := 6459170970143304990 + certificate := .residual 4403871017683985 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1123 + code := 5995847784353786910 + certificate := .residual 1481298832039378 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5475 + code := 3858832585567822110 + certificate := .residual 1873304089393186 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5731 + code := 2852269131761771550 + certificate := .residual 2469879245950033 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 100 + code := 5159386447612488990 + certificate := .residual 629716203341792 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1124 + code := 6136035516895226910 + certificate := .residual 2748053695466578 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5476 + code := 5560702845549338910 + certificate := .residual 2427322651097122 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5732 + code := 7148705516495692830 + certificate := .residual 4049790669524776 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 101 + code := 8257725703402302750 + certificate := .residual 3911289779080212 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1125 + code := 5131169850038184990 + certificate := .residual 4411539413806348 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5477 + code := 3292858430246150430 + certificate := .residual 1015999537392560 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5733 + code := 7146462512775029790 + certificate := .residual 3792821395080714 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 102 + code := 7176861793085041950 + certificate := .residual 3911289779080209 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1126 + code := 5991922527842626590 + certificate := .residual 4248877701442759 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5478 + code := 6139406481649885470 + certificate := .residual 1873168790583330 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5734 + code := 7148705379593610270 + certificate := .residual 3300240182167050 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 103 + code := 6451356316910234910 + certificate := .residual 620937202108384 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1127 + code := 5130609099108019230 + certificate := .residual 989142335587282 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5479 + code := 3284614683104436510 + certificate := .residual 2427457949906978 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5735 + code := 7146462375872947230 + certificate := .residual 4049788786806568 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData13.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData13.lean new file mode 100644 index 000000000..858a58927 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData13.lean @@ -0,0 +1,425 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 104–111 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets13 : Array (List PatternEntry) := #[ + [ + { origin := 104 + mask := 73667283451904 + certificate := .sharedThree 2 5 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 360 + mask := 3298537186560 + certificate := .k4 1 [1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 616 + mask := 47437333426864128 + certificate := .k4 3 [3, 5, 6] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 872 + mask := 9896191862794 + certificate := .k4 0 [0, 3, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1128 + mask := 5348037442421010 + certificate := .k4 0 [0, 1, 4, 6] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1640 + mask := 151734802489610 + certificate := .k4 0 [0, 1, 3, 5] 1 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3944 + mask := 216172823217996058 + certificate := .k4 0 [0, 1, 4, 7, 3] 0 1 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4200 + mask := 2882453452204015616 + certificate := .k4 2 [2, 3, 4, 7, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4712 + mask := 88399018025222 + certificate := .k4 0 [0, 1, 2, 4, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6248 + mask := 97079951122706 + certificate := .k4 0 [0, 1, 4, 3, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6760 + mask := 9663749430469654 + certificate := .k4 0 [0, 4, 5, 6, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7784 + mask := 145857402964230 + certificate := .k4 0 [0, 1, 2, 3, 5, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 105 + mask := 73668403134464 + certificate := .sharedThree 3 5 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 617 + mask := 47498906078019584 + certificate := .k4 3 [3, 6, 5] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1385 + mask := 15842176655163392 + certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2153 + mask := 2594284491612775424 + certificate := .k4 1 [1, 2, 7, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3945 + mask := 216173357640548630 + certificate := .k4 0 [0, 1, 2, 7, 4] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5481 + mask := 11355910711700480 + certificate := .k4 1 [1, 2, 4, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7273 + mask := 14636849117094166 + certificate := .k4 0 [0, 1, 2, 4, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8041 + mask := 5643012094820378 + certificate := .k4 0 [0, 3, 5, 2, 6, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 106 + mask := 73955041869824 + certificate := .sharedThree 4 5 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 618 + mask := 47507701097299968 + certificate := .k4 3 [3, 5, 6] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1386 + mask := 15842177192034304 + certificate := .k4 3 [3, 6, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3946 + mask := 216173375104516378 + certificate := .k4 0 [0, 1, 3, 7, 4] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5482 + mask := 11613041817362702 + certificate := .k4 0 [0, 1, 2, 5, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6250 + mask := 142939223893258 + certificate := .k4 0 [0, 1, 3, 2, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7274 + mask := 14636849117160722 + certificate := .k4 0 [0, 1, 4, 2, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 107 + mask := 75866302334208 + certificate := .sharedThree 1 5 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 363 + mask := 5497560442112 + certificate := .k4 1 [1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 619 + mask := 47507701634170880 + certificate := .k4 3 [3, 6, 5] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 875 + mask := 9896228028428 + certificate := .k4 0 [0, 3, 2, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1387 + mask := 15850733035323392 + certificate := .k4 3 [3, 6, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2411 + mask := 47547747350 + certificate := .k4 0 [0, 2, 4, 3, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5739 + mask := 1441152434818256158 + certificate := .k4 0 [0, 1, 4, 7, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5995 + mask := 19945913592846 + certificate := .k4 0 [0, 3, 2, 4, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7275 + mask := 14636866297946386 + certificate := .k4 0 [0, 1, 4, 2, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 620 + mask := 49698887648149504 + certificate := .k4 4 [4, 5, 6] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 876 + mask := 10038160654360 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2156 + mask := 2594286690635899904 + certificate := .k4 1 [1, 5, 7, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4716 + mask := 88416481992970 + certificate := .k4 0 [0, 1, 3, 4, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6252 + mask := 143628013020434 + certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 109 + mask := 76162655059968 + certificate := .sharedThree 4 5 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 621 + mask := 49751664206282752 + certificate := .k4 4 [4, 6, 5] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 877 + mask := 10068225425432 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1133 + mask := 5348308025360658 + certificate := .k4 0 [0, 1, 6, 4] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1389 + mask := 15850870474276864 + certificate := .k4 3 [3, 6, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1645 + mask := 152456608622592 + certificate := .k4 1 [1, 3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3437 + mask := 9658291332343808 + certificate := .k4 1 [1, 6, 5, 4, 3] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 366 + mask := 7696581403910 + certificate := .k4 0 [0, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 622 + mask := 49768981514420224 + certificate := .k4 4 [4, 5, 6] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 878 + mask := 10072251957272 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1134 + mask := 5629525309408256 + certificate := .k4 1 [1, 2, 4, 6] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1390 + mask := 216172782122402054 + certificate := .k4 0 [0, 1, 2, 7] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 111 + mask := 80264353611776 + certificate := .sharedThree 2 5 0 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 623 + mask := 49769118953373696 + certificate := .k4 4 [4, 6, 5] 4 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 879 + mask := 10072503615512 + certificate := .k4 0 [0, 4, 3, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1391 + mask := 216172784311632138 + certificate := .k4 0 [0, 1, 3, 7] 0 1 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4207 + mask := 2882463232058982424 + certificate := .k4 0 [0, 3, 4, 7, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7279 + mask := 14636977964146966 + certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7535 + mask := 11017229836574 + certificate := .k4 0 [0, 1, 4, 5, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9327 + mask := 10212277459422230 + certificate := .k4 0 [0, 2, 4, 6, 5, 3, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets13 : Array (List HardEntry) := #[ + [ + { origin := 104 + code := 6170944581331856670 + certificate := .residual 3911289779080210 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1128 + code := 5131237749192944670 + certificate := .residual 3793753402863879 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5480 + code := 6428269058399658270 + certificate := .residual 3795948131345666 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5736 + code := 8688943183795184670 + certificate := .residual 3911135697111444 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 105 + code := 7175740154322627870 + certificate := .residual 4403871017683986 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1129 + code := 3713030743370787870 + certificate := .residual 2316368651169889 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5481 + code := 4155790866969780510 + certificate := .residual 3303366918432002 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5737 + code := 6019017377682416670 + certificate := .residual 3885159734774419 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 106 + code := 6026829393289555230 + certificate := .residual 4411569478585479 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1130 + code := 5131169845759994910 + certificate := .residual 346164076884082 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5482 + code := 7364891501338026270 + certificate := .residual 1084199734522800 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5738 + code := 5995936430967874590 + certificate := .residual 3772597165951380 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 107 + code := 7175177204402760990 + certificate := .residual 3918988239981703 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1131 + code := 6460928950737792030 + certificate := .residual 4386519886533904 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5483 + code := 7366012866296275230 + certificate := .residual 1084201617241008 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5739 + code := 8657980938202506270 + certificate := .residual 3746621203614355 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 108 + code := 6461140884022897950 + certificate := .residual 1514146473778739 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1132 + code := 6171858560587361310 + certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 6, 7, 5] 0 1 2 7 4 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5484 + code := 6426025797853896990 + certificate := .residual 3794986058614018 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5740 + code := 8688929985562076190 + certificate := .residual 935818687453107 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 109 + code := 6171789023190723870 + certificate := .residual 1765384611160916 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1133 + code := 3148396187577707550 + certificate := .residual 768641746508722 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5485 + code := 7366004198549479710 + certificate := .residual 1092980530566064 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5741 + code := 6166510004257612830 + certificate := .residual 4408277385956864 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 110 + code := 7681264814197320990 + certificate := .residual 1514161535524403 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1134 + code := 3141636390559902750 + certificate := .residual 1202449987870545 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5486 + code := 4158033476963262750 + certificate := .residual 3302404845700354 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5742 + code := 5590049226419266590 + certificate := .residual 2308685135053024 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 111 + code := 7391912953365146910 + certificate := .residual 1765399672906580 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1135 + code := 6032721106497530910 + certificate := .residual 1342760365907412 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5487 + code := 7362639556066402590 + certificate := .residual 1092978647847856 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5743 + code := 5157703687961502750 + certificate := .residual 4066688967914278 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData14.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData14.lean new file mode 100644 index 000000000..296d02228 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData14.lean @@ -0,0 +1,425 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 112–119 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets14 : Array (List PatternEntry) := #[ + [ + { origin := 112 + mask := 80577881440256 + certificate := .sharedThree 4 5 0 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 880 + mask := 10995219180544 + certificate := .k4 1 [1, 2, 3, 5] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1392 + mask := 216173344754532626 + certificate := .k4 0 [0, 1, 4, 7] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1648 + mask := 153933869809676 + certificate := .k4 0 [0, 2, 3, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3184 + mask := 5348303734703382 + certificate := .k4 0 [0, 1, 4, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4720 + mask := 90301693781012 + certificate := .k4 0 [0, 2, 4, 5, 1] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5744 + mask := 1729382813142810654 + certificate := .k4 0 [0, 2, 4, 7, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9072 + mask := 1700996335034634 + certificate := .k4 0 [0, 1, 5, 6, 2, 4, 3] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10096 + mask := 7244822852912883974 + certificate := .k4 0 [0, 1, 2, 7, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 369 + mask := 9896228093952 + certificate := .k4 2 [2, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 625 + mask := 504403158274080774 + certificate := .k4 0 [0, 2, 7] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 881 + mask := 10995219573760 + certificate := .k4 1 [1, 3, 5, 2] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1137 + mask := 5629552421765120 + certificate := .k4 2 [2, 4, 6, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1393 + mask := 360287972429463564 + certificate := .k4 0 [0, 2, 3, 7] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2673 + mask := 18833433830678 + certificate := .k4 0 [0, 1, 4, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3185 + mask := 5348303734719510 + certificate := .k4 0 [0, 4, 6, 1, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4209 + mask := 2885331819224393728 + certificate := .k4 1 [1, 5, 6, 7, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5745 + mask := 1729382813175647518 + certificate := .k4 0 [0, 1, 4, 7, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8561 + mask := 432345603193340190 + certificate := .k4 0 [0, 1, 4, 7, 3, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 114 + mask := 89060447158272 + certificate := .sharedThree 2 5 0 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 882 + mask := 10995722497024 + certificate := .k4 1 [1, 2, 5, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1138 + mask := 5629783007446016 + certificate := .k4 1 [1, 2, 6, 4] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1394 + mask := 360288541428744212 + certificate := .k4 0 [0, 2, 4, 7] 0 2 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1906 + mask := 11821949609074954 + certificate := .k4 0 [0, 1, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2674 + mask := 18833433895958 + certificate := .k4 0 [0, 2, 4, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5746 + mask := 1729382817421525022 + certificate := .k4 0 [0, 2, 3, 7, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6514 + mask := 3399854544519168 + certificate := .k4 2 [2, 5, 6, 4, 3] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7282 + mask := 14636990850097414 + certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7794 + mask := 149555621569560 + certificate := .k4 0 [0, 3, 4, 5, 2, 1] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 115 + mask := 89061800804352 + certificate := .sharedThree 3 5 0 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 371 + mask := 12094627916042 + certificate := .k4 0 [0, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 627 + mask := 792633536615022602 + certificate := .k4 0 [0, 3, 7] 0 1 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1139 + mask := 5629800183120896 + certificate := .k4 1 [1, 2, 4, 6] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1395 + mask := 648518936916131864 + certificate := .k4 0 [0, 3, 4, 7] 0 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2675 + mask := 18833434871062 + certificate := .k4 0 [0, 1, 4, 2, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4211 + mask := 2892093816272087040 + certificate := .k4 1 [1, 6, 5, 7, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6515 + mask := 3399871523586048 + certificate := .k4 2 [2, 5, 6, 4, 3] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7283 + mask := 14636992477855756 + certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8563 + mask := 432345607472054558 + certificate := .k4 0 [0, 1, 3, 7, 4, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 116 + mask := 144036031823872 + certificate := .sharedThree 2 5 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 372 + mask := 12095215108106 + certificate := .k4 0 [0, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 628 + mask := 936748722502041612 + certificate := .k4 0 [0, 2, 7] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1908 + mask := 11821950135577600 + certificate := .k4 1 [1, 2, 3, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2420 + mask := 51825476894 + certificate := .k4 0 [0, 1, 3, 2, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4212 + mask := 2892656766232297472 + certificate := .k4 2 [2, 6, 5, 7, 3] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5236 + mask := 9570149264878604 + certificate := .k4 0 [0, 2, 3, 1, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6516 + mask := 3404253125804032 + certificate := .k4 2 [2, 6, 3, 5, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7284 + mask := 14637009925111820 + certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 117 + mask := 144038221053952 + certificate := .sharedThree 3 5 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 373 + mask := 14293653848076 + certificate := .k4 0 [0, 2, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 629 + mask := 936748724724432908 + certificate := .k4 0 [0, 3, 7] 0 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 885 + mask := 10995756442624 + certificate := .k4 1 [1, 5, 3, 2] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1653 + mask := 154655668043776 + certificate := .k4 2 [2, 3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1909 + mask := 11821950649248010 + certificate := .k4 0 [0, 1, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2165 + mask := 2703779357062594560 + certificate := .k4 2 [2, 6, 7, 5] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3445 + mask := 9659222534938898 + certificate := .k4 0 [0, 1, 4, 6, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4213 + mask := 2893714496444981248 + certificate := .k4 1 [1, 5, 7, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4469 + mask := 13220466262046 + certificate := .k4 0 [0, 3, 5, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5237 + mask := 9570149299020042 + certificate := .k4 0 [0, 1, 3, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6517 + mask := 3404270104870912 + certificate := .k4 2 [2, 6, 3, 5, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 118 + mask := 144598663954432 + certificate := .sharedThree 4 5 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 374 + mask := 14294271918092 + certificate := .k4 0 [0, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1142 + mask := 5629809918476288 + certificate := .k4 2 [2, 3, 6, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3190 + mask := 5348304837691418 + certificate := .k4 0 [0, 4, 6, 1, 3] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5238 + mask := 9570150835776524 + certificate := .k4 0 [0, 2, 3, 1, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 631 + mask := 1369094849361346578 + certificate := .k4 0 [0, 4, 7] 0 1 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1143 + mask := 5629827094151168 + certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4215 + mask := 2893730302159486976 + certificate := .k4 3 [3, 6, 7, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7799 + mask := 149573052113940 + certificate := .k4 0 [0, 2, 4, 1, 3, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets14 : Array (List HardEntry) := #[ + [ + { origin := 1136 + code := 3140087176546053150 + certificate := .residual 1704648176168674 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5488 + code := 5128989379177079070 + certificate := .residual 201441638627824 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5744 + code := 4147200936674780190 + certificate := .residual 4348749135579527 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1137 + code := 3148743769030487070 + certificate := .residual 235185532687729 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5489 + code := 2860997195188527390 + certificate := .residual 192662714464752 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5745 + code := 4147065129808880670 + certificate := .residual 338600849211634 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1138 + code := 8192828562639252510 + certificate := .residual 3792565844454918 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5490 + code := 5131232109093576990 + certificate := .residual 201443517733360 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5746 + code := 5563521979407590430 + certificate := .residual 2308685135053025 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1139 + code := 8154843163203824670 + certificate := .residual 1831596634339923 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5491 + code := 7364878298609475870 + certificate := .residual 3792821395080713 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5747 + code := 5131245298419164190 + certificate := .residual 1076521948190643 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1140 + code := 4149440763195386910 + certificate := .residual 2924577021592352 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5492 + code := 7362635294888812830 + certificate := .residual 3792821395080712 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5748 + code := 8661360575725102110 + certificate := .residual 3299969599098368 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1141 + code := 7149979562712591390 + certificate := .residual 3302014003546497 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5493 + code := 2858753780761616670 + certificate := .residual 192664593570288 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5749 + code := 8661351754097157150 + certificate := .residual 2308925686251744 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1142 + code := 7149910564062981150 + certificate := .residual 3303126400255365 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5494 + code := 7364878161707393310 + certificate := .residual 3300240182167048 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5750 + code := 8661345182797194270 + certificate := .residual 2941063806858022 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1143 + code := 8184102838881315870 + certificate := .residual 3893560959063440 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5495 + code := 7362635157986730270 + certificate := .residual 3300240182167049 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5751 + code := 8155343033993978910 + certificate := .residual 3363586684062087 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData15.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData15.lean new file mode 100644 index 000000000..ced0416b7 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData15.lean @@ -0,0 +1,341 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 120–127 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets15 : Array (List PatternEntry) := #[ + [ + { origin := 120 + mask := 146237277863936 + certificate := .sharedThree 3 5 0 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 632 + mask := 1513209474805989396 + certificate := .k4 0 [0, 2, 7] 0 2 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1144 + mask := 5629827295477760 + certificate := .k4 2 [2, 4, 3, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1656 + mask := 158484304929792 + certificate := .k4 1 [1, 2, 4, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6008 + mask := 20890808492318 + certificate := .k4 0 [0, 1, 3, 5, 2] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 121 + mask := 146806277144576 + certificate := .sharedThree 4 5 0 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 633 + mask := 1513210046027137044 + certificate := .k4 0 [0, 4, 7] 0 2 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1145 + mask := 5629827298623488 + certificate := .k4 2 [2, 6, 4, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1401 + mask := 353502494 + certificate := .k4 0 [0, 1, 3, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5753 + mask := 2424488010436453376 + certificate := .k4 1 [1, 2, 5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6009 + mask := 20891593941278 + certificate := .k4 0 [0, 1, 2, 5, 3] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 634 + mask := 1801439853380894744 + certificate := .k4 0 [0, 3, 7] 0 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1146 + mask := 5704420951064576 + certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3962 + mask := 432351061796364550 + certificate := .k4 0 [0, 1, 7, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4218 + mask := 2896034912622608384 + certificate := .k4 3 [3, 7, 5, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5242 + mask := 9570170690494738 + certificate := .k4 0 [0, 1, 4, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 123 + mask := 150633101983744 + certificate := .sharedThree 2 5 0 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 379 + mask := 21041044783122 + certificate := .k4 0 [0, 4, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 635 + mask := 1801440439358717976 + certificate := .k4 0 [0, 4, 7] 0 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3195 + mask := 5348316620539142 + certificate := .k4 0 [0, 1, 6, 4, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4219 + mask := 2898225002077749248 + certificate := .k4 3 [3, 4, 7, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 124 + mask := 151221503524864 + certificate := .sharedThree 4 5 0 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 380 + mask := 23089747394580 + certificate := .k4 0 [0, 2, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 636 + mask := 2423430280246198272 + certificate := .k4 5 [5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 892 + mask := 12094678245642 + certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1148 + mask := 5704695824777216 + certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1404 + mask := 21476412702 + certificate := .k4 0 [0, 1, 4, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2172 + mask := 2882451098826714112 + certificate := .k4 1 [1, 5, 7, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2428 + mask := 51875808542 + certificate := .k4 0 [0, 1, 2, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 381 + mask := 23248657973268 + certificate := .k4 0 [0, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 637 + mask := 2449958197300208640 + certificate := .k4 1 [1, 2, 7] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 893 + mask := 12094678247434 + certificate := .k4 0 [0, 3, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1405 + mask := 21593456670 + certificate := .k4 0 [0, 3, 4, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 126 + mask := 159429195530240 + certificate := .sharedThree 2 5 0 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 382 + mask := 27488612778008 + certificate := .k4 0 [0, 3, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1150 + mask := 5717615090597888 + certificate := .k4 2 [2, 4, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1406 + mask := 26089685022 + certificate := .k4 0 [0, 2, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4222 + mask := 3458911440357883924 + certificate := .k4 0 [0, 2, 4, 7, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7038 + mask := 11350260412588314 + certificate := .k4 0 [0, 1, 5, 6, 3] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 127 + mask := 159431618723840 + certificate := .sharedThree 3 5 0 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 383 + mask := 27663884353560 + certificate := .k4 0 [0, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 895 + mask := 12095181563914 + certificate := .k4 0 [0, 3, 5, 1] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1663 + mask := 161091338412306 + certificate := .k4 0 [0, 1, 4, 5] 1 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2175 + mask := 2882466492194488320 + certificate := .k4 2 [2, 5, 7, 3] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3199 + mask := 5629783007364374 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3967 + mask := 433189989170398214 + certificate := .k4 0 [0, 2, 7, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4991 + mask := 167822105813258 + certificate := .k4 0 [0, 1, 3, 5, 4] 1 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5247 + mask := 9570604759933194 + certificate := .k4 0 [0, 1, 3, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets15 : Array (List HardEntry) := #[ + [ + { origin := 1144 + code := 7149908365073280030 + certificate := .residual 1886795562547506 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5496 + code := 8686693566026277150 + certificate := .residual 3917034029789442 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5752 + code := 4149307722823296030 + certificate := .residual 2308925686251745 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1145 + code := 5996973786585984030 + certificate := .residual 1342760365907409 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5497 + code := 6455296733343310110 + certificate := .residual 3915816406444552 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5753 + code := 6137730521191080990 + certificate := .residual 338360298012914 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1146 + code := 4158097218777738270 + certificate := .residual 4348869394664715 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5498 + code := 6168192257098440990 + certificate := .residual 3915816406444553 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5754 + code := 5442556364409922590 + certificate := .residual 3885022564084371 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1147 + code := 3870922648666598430 + certificate := .residual 3608201016170016 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5499 + code := 3860667132533203230 + certificate := .residual 349873322198512 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5755 + code := 5417224003053020190 + certificate := .residual 3763801341077908 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1148 + code := 3148391789498035230 + certificate := .residual 1823073397568305 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5500 + code := 5997058082598478110 + certificate := .residual 342178590499312 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5756 + code := 8686681890678236190 + certificate := .residual 3902339872237972 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1149 + code := 8154776094017940510 + certificate := .residual 1814279334589236 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5501 + code := 4147204235209662750 + certificate := .residual 4348869394664706 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5757 + code := 8657971881140413470 + certificate := .residual 3746484032924307 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1150 + code := 7149910427160898590 + certificate := .residual 2120263579856577 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5502 + code := 4149308146414444830 + certificate := .residual 2042202262924882 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5758 + code := 6164258461135856670 + certificate := .residual 1746834693087456 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1151 + code := 8192759294463667230 + certificate := .residual 1839033866255040 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5503 + code := 4147065142693781790 + certificate := .residual 3919108499073164 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5759 + code := 5587797683297510430 + certificate := .residual 4408292418399744 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData16.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData16.lean new file mode 100644 index 000000000..52ae82c2d --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData16.lean @@ -0,0 +1,397 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 128–135 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets16 : Array (List PatternEntry) := #[ + [ + { origin := 128 + mask := 212205744210176 + certificate := .sharedThree 1 5 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 384 + mask := 72567773881344 + certificate := .k4 1 [1, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 640 + mask := 2450105531858288640 + certificate := .k4 2 [2, 5, 7] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1152 + mask := 5717889964310528 + certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1408 + mask := 30115105822 + certificate := .k4 0 [0, 3, 4, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3968 + mask := 433752939123884294 + certificate := .k4 0 [0, 1, 7, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4224 + mask := 3458915838688493592 + certificate := .k4 0 [0, 3, 4, 7, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5504 + mask := 11898967217405952 + certificate := .k4 2 [2, 4, 5, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 129 + mask := 212205756809216 + certificate := .sharedThree 2 5 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 385 + mask := 72569411627008 + certificate := .k4 1 [1, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 897 + mask := 12095198339338 + certificate := .k4 0 [0, 1, 5, 3] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1153 + mask := 5717889967456256 + certificate := .k4 2 [2, 6, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1409 + mask := 30149312542 + certificate := .k4 0 [0, 3, 4, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1921 + mask := 12384900118897664 + certificate := .k4 1 [1, 2, 3, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2177 + mask := 2882514871541327872 + certificate := .k4 1 [1, 3, 7, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5249 + mask := 9644916001557518 + certificate := .k4 0 [0, 2, 5, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 130 + mask := 212208982163456 + certificate := .sharedThree 3 5 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 642 + mask := 2450119421771907072 + certificate := .k4 4 [4, 5, 7] 1 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1154 + mask := 5910995990020116 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1410 + mask := 38957416478 + certificate := .k4 0 [0, 2, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3202 + mask := 5629787302266134 + certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4994 + mask := 167830723103744 + certificate := .k4 1 [1, 2, 3, 5, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6530 + mask := 5066828804670494 + certificate := .k4 0 [0, 3, 4, 6, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8578 + mask := 720575964103475486 + certificate := .k4 0 [0, 1, 4, 7, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 131 + mask := 213034672848896 + certificate := .sharedThree 4 5 0 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 387 + mask := 74766797136896 + certificate := .k4 1 [1, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 643 + mask := 2594073385376064512 + certificate := .k4 1 [1, 2, 7] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1155 + mask := 5910995991003156 + certificate := .k4 0 [0, 4, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1411 + mask := 38990253342 + certificate := .k4 0 [0, 1, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4739 + mask := 92500715070484 + certificate := .k4 0 [0, 2, 4, 1, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8579 + mask := 720575968599703838 + certificate := .k4 0 [0, 1, 2, 7, 4, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 132 + mask := 213305268502528 + certificate := .sharedThree 2 5 1 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 900 + mask := 13194712720384 + certificate := .k4 1 [1, 2, 5, 3] 1 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1156 + mask := 5911253684912148 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1924 + mask := 12385346529001472 + certificate := .k4 2 [2, 3, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2180 + mask := 2882517070531028992 + certificate := .k4 1 [1, 5, 7, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4484 + mask := 19932943821854 + certificate := .k4 0 [0, 2, 4, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4996 + mask := 1688850151260446 + certificate := .k4 0 [0, 1, 3, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7300 + mask := 14991020705997846 + certificate := .k4 0 [0, 4, 6, 5, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7812 + mask := 158471503389720 + certificate := .k4 0 [0, 3, 4, 2, 5, 1] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 133 + mask := 213308510568448 + certificate := .sharedThree 3 5 1 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 645 + mask := 2594074089751576576 + certificate := .k4 2 [2, 4, 7] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1157 + mask := 5911253689040916 + certificate := .k4 0 [0, 4, 6, 2] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1413 + mask := 43236130846 + certificate := .k4 0 [0, 2, 3, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1669 + mask := 162885101158400 + certificate := .k4 2 [2, 3, 4, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4485 + mask := 19932943887390 + certificate := .k4 0 [0, 4, 5, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10117 + mask := 8108030482475655446 + certificate := .k4 0 [0, 1, 5, 7, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 134 + mask := 214138479443968 + certificate := .sharedThree 4 5 1 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 390 + mask := 76965818295296 + certificate := .k4 1 [1, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 646 + mask := 2594220719923569664 + certificate := .k4 1 [1, 5, 7] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1158 + mask := 5911266569814036 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1414 + mask := 47244839966 + certificate := .k4 0 [0, 2, 4, 1] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1670 + mask := 163281783291924 + certificate := .k4 0 [0, 2, 4, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 135 + mask := 215504279094272 + certificate := .sharedThree 1 5 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 391 + mask := 76965820261376 + certificate := .k4 1 [1, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 647 + mask := 2594227319744757760 + certificate := .k4 3 [3, 5, 7] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1159 + mask := 5911266572959764 + certificate := .k4 0 [0, 2, 6, 4] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1415 + mask := 47345893406 + certificate := .k4 0 [0, 2, 4, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1671 + mask := 163298962112532 + certificate := .k4 0 [0, 2, 4, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3207 + mask := 5629800186184982 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4487 + mask := 19933027118110 + certificate := .k4 0 [0, 3, 4, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10119 + mask := 8108384237456991506 + certificate := .k4 0 [0, 1, 4, 7, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets16 : Array (List HardEntry) := #[ + [ + { origin := 1152 + code := 4158110292926622750 + certificate := .residual 3363586684062080 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5504 + code := 3285751713959174430 + certificate := .residual 2675625636094546 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5760 + code := 5155452144839746590 + certificate := .residual 4066690847019814 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1153 + code := 3140508291630197790 + certificate := .residual 2924577021592353 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5505 + code := 3858839164588581150 + certificate := .residual 1620245215911506 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5761 + code := 4149444089998402590 + certificate := .residual 4349846499895687 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1154 + code := 3139947540700032030 + certificate := .residual 2927914223747861 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5506 + code := 3284630212098842910 + certificate := .residual 3668475211310791 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5762 + code := 7581134641813447710 + certificate := .residual 3364684048378247 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1155 + code := 2851717181728189470 + certificate := .residual 195669169027698 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5507 + code := 6428199926608093470 + certificate := .residual 3668990170121922 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5763 + code := 4147065159622517790 + certificate := .residual 1747075244286177 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1156 + code := 5995847647167605790 + certificate := .residual 1180591036317281 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5508 + code := 6425956922887430430 + certificate := .residual 3475132492523333 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5764 + code := 5563522009221227550 + certificate := .residual 269091065348338 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1157 + code := 2862200039420881950 + certificate := .residual 712148126415824 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5509 + code := 5564643494152823070 + certificate := .residual 4090947459234498 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5765 + code := 5128993644064465950 + certificate := .residual 1077621191612339 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1158 + code := 3870992742516157470 + certificate := .residual 1202805157281616 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5510 + code := 6137730944782229790 + certificate := .residual 3035521571474114 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5766 + code := 8659109032603345950 + certificate := .residual 1747075244286176 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1159 + code := 6175166435649285150 + certificate := .residual 349065324160112 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5511 + code := 5563521992292491550 + certificate := .residual 2306430243652197 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5767 + code := 8659100210975400990 + certificate := .residual 3299984631541248 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData17.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData17.lean new file mode 100644 index 000000000..7c36a22e9 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData17.lean @@ -0,0 +1,413 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 136–143 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets17 : Array (List PatternEntry) := #[ + [ + { origin := 136 + mask := 215507567378432 + certificate := .sharedThree 3 5 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 648 + mask := 2594236817460953088 + certificate := .k4 4 [4, 5, 7] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 904 + mask := 13349097570304 + certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1160 + mask := 6755443766478848 + certificate := .k4 1 [1, 3, 4, 6] 1 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2440 + mask := 3298621531150 + certificate := .k4 0 [0, 3, 2, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2696 + mask := 18846319781126 + certificate := .k4 0 [0, 1, 2, 4, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3208 + mask := 5629800186250518 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4488 + mask := 19933043895326 + certificate := .k4 0 [0, 4, 5, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5000 + mask := 1688850201592094 + certificate := .k4 0 [0, 1, 6, 2, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6024 + mask := 21062857924870 + certificate := .k4 0 [0, 1, 5, 4, 3, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 137 + mask := 216346092634112 + certificate := .sharedThree 4 5 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 393 + mask := 76965820391424 + certificate := .k4 1 [1, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 649 + mask := 2738188573443531776 + certificate := .k4 1 [1, 2, 7] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 905 + mask := 13349567332352 + certificate := .k4 2 [2, 4, 5, 3] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3465 + mask := 9924191956575494 + certificate := .k4 0 [0, 1, 2, 5, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 394 + mask := 79166481393664 + certificate := .k4 1 [1, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 650 + mask := 2738188573451789312 + certificate := .k4 1 [1, 7, 2] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 906 + mask := 13349632344064 + certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1162 + mask := 6755452394668032 + certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1418 + mask := 55835231518 + certificate := .k4 0 [0, 1, 4, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1674 + mask := 163419220148244 + certificate := .k4 0 [0, 2, 4, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3466 + mask := 9924191956706310 + certificate := .k4 0 [0, 2, 1, 5, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5002 + mask := 1688888520753438 + certificate := .k4 0 [0, 1, 4, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6538 + mask := 5066841724046350 + certificate := .k4 0 [0, 3, 2, 4, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 139 + mask := 219902338662400 + certificate := .sharedThree 2 5 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 395 + mask := 79166521737216 + certificate := .k4 2 [2, 3, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 651 + mask := 2738188573451887616 + certificate := .k4 1 [1, 2, 7] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 907 + mask := 13366277439488 + certificate := .k4 2 [2, 3, 5, 4] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1163 + mask := 6755452395192320 + certificate := .k4 2 [2, 4, 3, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2187 + mask := 2898224693913845760 + certificate := .k4 3 [3, 6, 7, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2443 + mask := 3299158270222 + certificate := .k4 0 [0, 1, 3, 5, 2] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4491 + mask := 19945829772302 + certificate := .k4 0 [0, 2, 4, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4747 + mask := 92638157079826 + certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7307 + mask := 15762784721592594 + certificate := .k4 0 [0, 1, 4, 3, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9867 + mask := 2882447838613152790 + certificate := .k4 0 [0, 2, 4, 3, 7, 5, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 140 + mask := 220761319014400 + certificate := .sharedThree 4 5 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 396 + mask := 79613392846848 + certificate := .k4 3 [3, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 652 + mask := 2738188573451919360 + certificate := .k4 1 [1, 7, 2] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1164 + mask := 6755684284647424 + certificate := .k4 1 [1, 3, 6, 4] 1 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2188 + mask := 2898295061584281600 + certificate := .k4 3 [3, 7, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4236 + mask := 3458923445398011904 + certificate := .k4 2 [2, 3, 4, 7, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7308 + mask := 15762793317859348 + certificate := .k4 0 [0, 2, 4, 3, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 397 + mask := 81364967778304 + certificate := .k4 1 [1, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 909 + mask := 13366813786112 + certificate := .k4 2 [2, 5, 3, 4] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1165 + mask := 6755692912836608 + certificate := .k4 2 [2, 3, 6, 4] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1677 + mask := 167300060151808 + certificate := .k4 2 [2, 3, 4, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2189 + mask := 2993135636329791488 + certificate := .k4 3 [3, 6, 7, 5] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4493 + mask := 19963009638686 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8333 + mask := 11331568246268190 + certificate := .k4 0 [0, 1, 2, 5, 6, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 142 + mask := 228698432208896 + certificate := .sharedThree 2 5 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 398 + mask := 81365471094784 + certificate := .k4 1 [1, 5, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 654 + mask := 2738333708976169984 + certificate := .k4 1 [1, 7, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1166 + mask := 6755717570643968 + certificate := .k4 1 [1, 3, 4, 6] 1 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1422 + mask := 6597072399630 + certificate := .k4 0 [0, 1, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1678 + mask := 167682787770392 + certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2190 + mask := 2999759093838643200 + certificate := .k4 3 [3, 5, 7, 6] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2702 + mask := 18854907552022 + certificate := .k4 0 [0, 1, 2, 4, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3982 + mask := 648518348514231310 + certificate := .k4 0 [0, 2, 3, 1, 7] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4494 + mask := 19963343547662 + certificate := .k4 0 [0, 1, 5, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5006 + mask := 1688901405655326 + certificate := .k4 0 [0, 1, 6, 2, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 143 + mask := 228701908238336 + certificate := .sharedThree 3 5 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 911 + mask := 14293737668620 + certificate := .k4 0 [0, 3, 2, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1423 + mask := 6597072464910 + certificate := .k4 0 [0, 2, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1679 + mask := 167716879073304 + certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5263 + mask := 9649314666138638 + certificate := .k4 0 [0, 3, 5, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6543 + mask := 5066859154590734 + certificate := .k4 0 [0, 2, 3, 4, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets17 : Array (List HardEntry) := #[ + [ + { origin := 1160 + code := 3871005816665041950 + certificate := .residual 4348869394664713 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5512 + code := 4145376318603321630 + certificate := .residual 1994389914580002 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5768 + code := 8659093639675438110 + certificate := .residual 2941065685963558 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1161 + code := 3726892827612441630 + certificate := .residual 4348869394664712 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5513 + code := 5591731479260094750 + certificate := .residual 936852126455728 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5769 + code := 4149307752636933150 + certificate := .residual 269331616547058 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1162 + code := 4158040199043640350 + certificate := .residual 333670249292016 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5514 + code := 4147062943704080670 + certificate := .residual 1380722880142370 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5770 + code := 6137730551004718110 + certificate := .residual 1746834693087457 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1163 + code := 3866783692266040350 + certificate := .residual 3608063844275752 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5515 + code := 6137799802251567390 + certificate := .residual 3793888694448386 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5771 + code := 8686677509794882590 + certificate := .residual 936917930874803 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1164 + code := 3722670703213440030 + certificate := .residual 4348869394664714 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5516 + code := 8401838035908092190 + certificate := .residual 340013860921840 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5772 + code := 7608079273227248670 + certificate := .residual 3911135697111441 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1165 + code := 4153385690690841630 + certificate := .residual 2396829421902163 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5517 + code := 8661430669641703710 + certificate := .residual 332315396802032 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5773 + code := 7676198412520842270 + certificate := .residual 2468811968597076 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1166 + code := 5420582032932695070 + certificate := .residual 2286266264038626 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5518 + code := 8230703861408129310 + certificate := .residual 3792671071103497 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5774 + code := 3717098525771228190 + certificate := .residual 3349285244307858 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1167 + code := 4153242217308318750 + certificate := .residual 2526709300056372 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5519 + code := 8229582359547797790 + certificate := .residual 3792671071103496 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5775 + code := 7581128044744074270 + certificate := .residual 4334447695825298 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData18.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData18.lean new file mode 100644 index 000000000..a818737e3 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData18.lean @@ -0,0 +1,369 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 144–151 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets18 : Array (List PatternEntry) := #[ + [ + { origin := 144 + mask := 3940649673949198 + certificate := .sharedThree 0 6 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 400 + mask := 81365504647168 + certificate := .k4 1 [1, 5, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 656 + mask := 2882303764279590912 + certificate := .k4 2 [2, 3, 7] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4496 + mask := 19980188459294 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7056 + mask := 11821950135512326 + certificate := .k4 0 [0, 1, 2, 3, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7312 + mask := 15762891381735436 + certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 145 + mask := 6192449487634454 + certificate := .sharedThree 0 6 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 401 + mask := 83564031377408 + certificate := .k4 2 [2, 3, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 657 + mask := 2882304486024413184 + certificate := .k4 3 [3, 4, 7] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 913 + mask := 14294207430668 + certificate := .k4 0 [0, 3, 5, 2] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1169 + mask := 6755726198833152 + certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1681 + mask := 167727879684096 + certificate := .k4 2 [2, 4, 3, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2193 + mask := 3026577977501548544 + certificate := .k4 3 [3, 7, 5, 4] 1 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4497 + mask := 19980189442334 + certificate := .k4 0 [0, 1, 5, 4, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7313 + mask := 15762908789104906 + certificate := .k4 0 [0, 1, 3, 4, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 146 + mask := 7318349394477082 + certificate := .sharedThree 0 6 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 914 + mask := 14294255730700 + certificate := .k4 0 [0, 2, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1170 + mask := 6755726199357440 + certificate := .k4 2 [2, 4, 3, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1682 + mask := 167819689852952 + certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3474 + mask := 10204567423821062 + certificate := .k4 0 [0, 1, 2, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4242 + mask := 3470253037820313600 + certificate := .k4 3 [3, 6, 5, 7, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5522 + mask := 12384900068041994 + certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6546 + mask := 5066875998979358 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7314 + mask := 15762908828991500 + certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 147 + mask := 7881299347898396 + certificate := .sharedThree 0 6 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 403 + mask := 83564566151168 + certificate := .k4 2 [2, 3, 5] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 659 + mask := 2882457693156016128 + certificate := .k4 2 [2, 5, 7] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1171 + mask := 6755727004663808 + certificate := .k4 2 [2, 4, 6, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1683 + mask := 167853781155864 + certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2451 + mask := 3320013005078 + certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4243 + mask := 3472436674623987712 + certificate := .k4 1 [1, 5, 7, 4, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4499 + mask := 19980523413790 + certificate := .k4 0 [0, 1, 5, 4, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5523 + mask := 12384900068107276 + certificate := .k4 0 [0, 2, 3, 1, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 148 + mask := 9851624187166720 + certificate := .sharedThree 2 6 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 660 + mask := 2882471608839045120 + certificate := .k4 4 [4, 5, 7] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1172 + mask := 6834737955995648 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2452 + mask := 3320013005846 + certificate := .k4 0 [0, 4, 2, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2964 + mask := 2533275881131022 + certificate := .k4 0 [0, 2, 3, 1, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 149 + mask := 9851624772075520 + certificate := .sharedThree 3 6 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 917 + mask := 18833434804244 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1173 + mask := 6834978474164224 + certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9877 + mask := 2882462239385847070 + certificate := .k4 0 [0, 1, 3, 2, 7, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 150 + mask := 9851774508728320 + certificate := .sharedThree 4 6 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 406 + mask := 88390434291712 + certificate := .k4 2 [2, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 918 + mask := 18834253676568 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1174 + mask := 6835011760160768 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1430 + mask := 7696631737358 + certificate := .k4 0 [0, 3, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2454 + mask := 3338028458266 + certificate := .k4 0 [0, 1, 4, 5, 3] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2966 + mask := 2533275885323278 + certificate := .k4 0 [0, 2, 3, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 151 + mask := 10414574138303744 + certificate := .sharedThree 1 6 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 407 + mask := 88409485869056 + certificate := .k4 3 [3, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 663 + mask := 3026418952310892544 + certificate := .k4 1 [1, 3, 7] 1 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2455 + mask := 3338028460058 + certificate := .k4 0 [0, 4, 3, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3735 + mask := 11348099792371736 + certificate := .k4 0 [0, 3, 4, 6, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6551 + mask := 5073464481836032 + certificate := .k4 1 [1, 5, 6, 2, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets18 : Array (List HardEntry) := #[ + [ + { origin := 1168 + code := 3722585502941015070 + certificate := .residual 2771150958996673 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5520 + code := 8371515816107761950 + certificate := .residual 3363706943147266 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5776 + code := 6137724364641592350 + certificate := .residual 4241517474354721 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1169 + code := 7149895188114140190 + certificate := .residual 2517915237077297 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5521 + code := 4149307735708197150 + certificate := .residual 2306700892652133 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5777 + code := 5563515412151854110 + certificate := .residual 4247019340043541 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1170 + code := 5420513034283084830 + certificate := .residual 3043242714776213 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5522 + code := 3862203259463328030 + certificate := .residual 2965322298178242 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5778 + code := 5559643761362396190 + certificate := .residual 1978395488873556 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1171 + code := 5132287056177884190 + certificate := .residual 3039890392269473 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5523 + code := 4147064731987534110 + certificate := .residual 4161421172656834 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5779 + code := 5559574762712785950 + certificate := .residual 1978395488873553 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1172 + code := 4158101616623447070 + certificate := .residual 1765752963262288 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5524 + code := 3858838753882333470 + certificate := .residual 3475098603595589 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5780 + code := 3138394620144706590 + certificate := .residual 3340489419434386 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1173 + code := 4158101496834124830 + certificate := .residual 3089358348928550 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5525 + code := 3284629801392595230 + certificate := .residual 3668715729995458 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5781 + code := 5417216306472084510 + certificate := .residual 3763801341077905 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1174 + code := 4158097115967482910 + certificate := .residual 2316488913924192 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5526 + code := 6428199515901845790 + certificate := .residual 3668509100238535 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5782 + code := 3140501816999470110 + certificate := .residual 3045523837212193 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1175 + code := 7185710407163735070 + certificate := .residual 3793512884687236 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5527 + code := 6141095039656976670 + certificate := .residual 2675655733895762 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5783 + code := 3138258813278807070 + certificate := .residual 3051025702901013 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData19.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData19.lean new file mode 100644 index 000000000..51e8e5f84 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData19.lean @@ -0,0 +1,369 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 152–159 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets19 : Array (List PatternEntry) := #[ + [ + { origin := 152 + mask := 10414574759051264 + certificate := .sharedThree 3 6 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 664 + mask := 3026418952310923264 + certificate := .k4 1 [1, 7, 3] 1 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 920 + mask := 18842021536018 + certificate := .k4 0 [0, 1, 4, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1176 + mask := 6843534049017856 + certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1688 + mask := 1688849865067534 + certificate := .k4 0 [0, 2, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4248 + mask := 3474677368994398208 + certificate := .k4 3 [3, 4, 6, 7, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 665 + mask := 3026561888822493184 + certificate := .k4 3 [3, 7, 5] 1 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1433 + mask := 7697202159886 + certificate := .k4 0 [0, 1, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5785 + mask := 4724778795968495616 + certificate := .k4 3 [3, 4, 5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 154 + mask := 11540474045147392 + certificate := .sharedThree 1 6 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 922 + mask := 18846319706132 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1178 + mask := 6843807853182976 + certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2970 + mask := 2533275902102534 + certificate := .k4 0 [0, 2, 1, 3, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 155 + mask := 11540474047823872 + certificate := .sharedThree 2 6 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 411 + mask := 90580860297216 + certificate := .k4 1 [1, 5, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 667 + mask := 3170534138283819008 + certificate := .k4 2 [2, 3, 7] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 923 + mask := 18850613624852 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4251 + mask := 4792392955699284992 + certificate := .k4 1 [1, 2, 6, 3, 7] 1 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6555 + mask := 5077846217223168 + certificate := .k4 1 [1, 5, 6, 3, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8603 + mask := 1297037268292895006 + certificate := .k4 0 [0, 1, 3, 7, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 156 + mask := 11540650138796032 + certificate := .sharedThree 4 6 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 412 + mask := 92651041849344 + certificate := .k4 2 [2, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 924 + mask := 18850614607892 + certificate := .k4 0 [0, 4, 2, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1180 + mask := 7036914162991128 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2204 + mask := 3458919167006605312 + certificate := .k4 2 [2, 5, 7, 4] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2972 + mask := 2533275936113926 + certificate := .k4 0 [0, 1, 2, 3, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4252 + mask := 4792392955732708352 + certificate := .k4 1 [1, 3, 6, 2, 7] 1 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4508 + mask := 22131969101086 + certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5276 + mask := 9654811687403790 + certificate := .k4 0 [0, 1, 3, 6, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6300 + mask := 153932241019142 + certificate := .k4 0 [0, 1, 2, 3, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8604 + mask := 1297037285489475870 + certificate := .k4 0 [0, 1, 2, 7, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 413 + mask := 92771300933632 + certificate := .k4 2 [2, 5, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 669 + mask := 3170534140422914048 + certificate := .k4 2 [2, 3, 7] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 925 + mask := 18864318447640 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1181 + mask := 7036914414649368 + certificate := .k4 0 [0, 4, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1437 + mask := 7855495192854 + certificate := .k4 0 [0, 1, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3997 + mask := 720585838701879562 + certificate := .k4 0 [0, 1, 7, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9885 + mask := 2892085019122682894 + certificate := .k4 0 [0, 2, 3, 7, 5, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 158 + mask := 13792273862033408 + certificate := .sharedThree 2 6 0 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 414 + mask := 92788478705664 + certificate := .k4 2 [2, 4, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 926 + mask := 18868344979480 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1182 + mask := 7037153875853336 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1438 + mask := 9896177380608 + certificate := .k4 1 [1, 2, 3, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2462 + mask := 3471155667226 + certificate := .k4 0 [0, 1, 3, 5, 4] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2718 + mask := 19937239311638 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5022 + mask := 1970376667168782 + certificate := .k4 0 [0, 3, 4, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6302 + mask := 153933827907854 + certificate := .k4 0 [0, 1, 2, 3, 5] 1 3 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 159 + mask := 13792274680905728 + certificate := .sharedThree 3 6 0 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 415 + mask := 92788479754240 + certificate := .k4 2 [2, 5, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 671 + mask := 3170679275955159040 + certificate := .k4 3 [3, 7, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 927 + mask := 18868596637720 + certificate := .k4 0 [0, 4, 3, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1183 + mask := 7037154932817944 + certificate := .k4 0 [0, 4, 6, 3] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1695 + mask := 1970324887325710 + certificate := .k4 0 [0, 3, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5279 + mask := 9658273347159318 + certificate := .k4 0 [0, 1, 6, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6559 + mask := 5085653597643782 + certificate := .k4 0 [0, 2, 1, 6, 4, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets19 : Array (List HardEntry) := #[ + [ + { origin := 1176 + code := 5456328253332679710 + certificate := .residual 3915711179795969 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5528 + code := 6425956512181182750 + certificate := .residual 1479511857372754 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5784 + code := 3136569989188346910 + certificate := .residual 2468811968597073 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1177 + code := 2862191363117706270 + certificate := .residual 2694936613328176 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5529 + code := 6137730534075982110 + certificate := .residual 3795963163732108 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5785 + code := 5995919938294440990 + certificate := .residual 3772597165951377 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1178 + code := 3145366082195450910 + certificate := .residual 316285286000884 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5530 + code := 5563521581586243870 + certificate := .residual 2182905523662418 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5786 + code := 6136095572114334750 + certificate := .residual 2470976698174548 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1179 + code := 8189454161454197790 + certificate := .residual 316285286000883 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5531 + code := 6136041709985521950 + certificate := .residual 1996314092958754 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5787 + code := 3716962188409758750 + certificate := .residual 3121394178987285 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1180 + code := 6172914892527528990 + certificate := .residual 3486425606329120 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5532 + code := 5993615346033680670 + certificate := .residual 1378528052763682 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5788 + code := 3714719184689095710 + certificate := .residual 3115892313298465 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1181 + code := 7185587263740472350 + certificate := .residual 3793512884687233 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5533 + code := 8230695039780184350 + certificate := .residual 1077585484994480 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5789 + code := 8252649692777210910 + certificate := .residual 1976230759296084 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1182 + code := 7176861672606428190 + certificate := .residual 3795692580776325 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5534 + code := 6168183730531918110 + certificate := .residual 935769794582448 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5790 + code := 3713021538970690590 + certificate := .residual 1976230759296081 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 1183 + code := 6460844002744888350 + certificate := .residual 752132264057777 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5535 + code := 6453036381428179230 + certificate := .residual 3915951698029064 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5791 + code := 8182278732413199390 + certificate := .residual 3902339872237969 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData20.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData20.lean new file mode 100644 index 000000000..e3034507b --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData20.lean @@ -0,0 +1,389 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 160–167 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets20 : Array (List PatternEntry) := #[ + [ + { origin := 160 + mask := 36873221957681152 + certificate := .sharedThree 2 6 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 416 + mask := 97068139937792 + certificate := .k4 3 [3, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 672 + mask := 3170683671261216768 + certificate := .k4 2 [2, 7, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1184 + mask := 7037183940624408 + certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2464 + mask := 3479208730906 + certificate := .k4 0 [0, 1, 3, 5, 4] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8096 + mask := 9570170740698136 + certificate := .k4 0 [0, 3, 4, 1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 161 + mask := 36873224146911232 + certificate := .sharedThree 3 6 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 417 + mask := 97171219152896 + certificate := .k4 3 [3, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1185 + mask := 7037184745930776 + certificate := .k4 0 [0, 3, 6, 4] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2209 + mask := 3458980980179599360 + certificate := .k4 2 [2, 5, 7, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8097 + mask := 9570189742140436 + certificate := .k4 0 [0, 2, 4, 1, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 162 + mask := 36873784589811712 + certificate := .sharedThree 4 6 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 418 + mask := 97205042020352 + certificate := .k4 3 [3, 4, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 674 + mask := 3458765218206711808 + certificate := .k4 2 [2, 4, 7] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1186 + mask := 9576746282279936 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1442 + mask := 10995720269070 + certificate := .k4 0 [0, 1, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2466 + mask := 5497610644494 + certificate := .k4 0 [0, 2, 3, 5, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 163 + mask := 37017257972334592 + certificate := .sharedThree 5 6 0 1 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 419 + mask := 97205310455808 + certificate := .k4 3 [3, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 675 + mask := 3458765238327836672 + certificate := .k4 3 [3, 4, 7] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1187 + mask := 9576746284246016 + certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1443 + mask := 10995737046030 + certificate := .k4 0 [0, 3, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1955 + mask := 14073899159413010 + certificate := .k4 0 [0, 1, 4, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2467 + mask := 5497610710030 + certificate := .k4 0 [0, 3, 1, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4003 + mask := 723109218424504586 + certificate := .k4 0 [0, 1, 7, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4771 + mask := 97178483712266 + certificate := .k4 0 [0, 1, 3, 5, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 420 + mask := 142936522269696 + certificate := .k4 1 [1, 2, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1444 + mask := 10995753821454 + certificate := .k4 0 [0, 1, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5540 + mask := 12738941803307278 + certificate := .k4 0 [0, 1, 3, 5, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 165 + mask := 37436174133886976 + certificate := .sharedThree 3 6 0 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 677 + mask := 3458927241552986112 + certificate := .k4 2 [2, 5, 7] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2469 + mask := 5497644785934 + certificate := .k4 0 [0, 1, 3, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3237 + mask := 5656078474805248 + certificate := .k4 2 [2, 4, 6, 5, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6053 + mask := 22170623478814 + certificate := .k4 0 [0, 2, 1, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8613 + mask := 1441172359171615758 + certificate := .k4 0 [0, 2, 7, 4, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 166 + mask := 37436743133167616 + certificate := .sharedThree 4 6 0 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 678 + mask := 3458931642540752896 + certificate := .k4 3 [3, 5, 7] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1190 + mask := 9581145431762944 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1702 + mask := 1970621189734678 + certificate := .k4 0 [0, 1, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2470 + mask := 5497644786702 + certificate := .k4 0 [0, 3, 2, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2726 + mask := 19954418262294 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4262 + mask := 4793237378406007046 + certificate := .k4 0 [0, 1, 2, 7, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4518 + mask := 22162336055310 + certificate := .k4 0 [0, 2, 5, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6566 + mask := 5348024647172382 + certificate := .k4 0 [0, 1, 3, 6, 2] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 167 + mask := 37582406949011456 + certificate := .sharedThree 5 6 0 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 423 + mask := 145135545525248 + certificate := .k4 1 [1, 2, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 935 + mask := 19954421212160 + certificate := .k4 1 [1, 5, 4, 2] 1 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1191 + mask := 9581145935079424 + certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4263 + mask := 4793237378406007814 + certificate := .k4 0 [0, 2, 1, 7, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5031 + mask := 2814751177523486 + certificate := .k4 0 [0, 1, 2, 6, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6567 + mask := 5348025967395102 + certificate := .k4 0 [0, 1, 2, 6, 3] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6823 + mask := 10205692704203030 + certificate := .k4 0 [0, 1, 5, 6, 2, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets20 : Array (List HardEntry) := #[ + [ + { origin := 672 + code := 8697238970799187230 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 6, 5, 7] 1 0 2 5 6 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1184 + code := 4146624913950796830 + certificate := .residual 1003398607615937 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5536 + code := 5591722952693571870 + certificate := .residual 3915951698029065 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5792 + code := 8155327640832107550 + certificate := .residual 4325651870951826 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 673 + code := 8266578970781902110 + certificate := .residual 3918852948510086 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1185 + code := 4145503412090465310 + certificate := .residual 760926224276404 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5537 + code := 7825369142209470750 + certificate := .residual 269647263941104 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5793 + code := 6137715128029209630 + certificate := .residual 4176650863957269 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 674 + code := 8697232399499224350 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 5 6 7 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1186 + code := 5420580933421132830 + certificate := .residual 3917860810886405 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5538 + code := 4149447388533285150 + certificate := .residual 4349966758980866 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5794 + code := 5563506175539471390 + certificate := .residual 4171148998268449 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 675 + code := 8689072911311136030 + certificate := .residual 1201555500719955 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1187 + code := 5420513029988183070 + certificate := .residual 1231054804926242 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5539 + code := 7797307423927230750 + certificate := .residual 3364804307463426 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5795 + code := 6136026303938749470 + certificate := .residual 2470976698174545 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 676 + code := 6455284343629374750 + certificate := .residual 4278889880649894 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1188 + code := 3870997140361866270 + certificate := .residual 4347907321983243 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5540 + code := 3281954687505588510 + certificate := .residual 279504846112240 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5796 + code := 8661431066944988190 + certificate := .residual 3349285244307860 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 677 + code := 8688506675741287710 + certificate := .hubPentagon 0 [0, 1, 2, 4, 5, 6, 3, 7] 0 1 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1189 + code := 4158031522740464670 + certificate := .residual 3546628365007392 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5541 + code := 8659170591530737950 + certificate := .residual 261946920715760 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5797 + code := 3726877582424663070 + certificate := .residual 3323309281970835 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 678 + code := 6024071250642167070 + certificate := .residual 4403974365339923 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1190 + code := 2860165828355189790 + certificate := .residual 1261222955753265 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5542 + code := 5563591007921168670 + certificate := .residual 3793753402863874 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5798 + code := 3726822607682135070 + certificate := .residual 3280015953037716 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 679 + code := 6031614906202809630 + certificate := .residual 4403974365339924 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1191 + code := 8153654609119964190 + certificate := .residual 1252428892774196 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5543 + code := 4149308163393511710 + certificate := .residual 4231787769637570 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5799 + code := 8661345306346644510 + certificate := .residual 3254039990700691 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData21.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData21.lean new file mode 100644 index 000000000..8b177b7c4 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData21.lean @@ -0,0 +1,425 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 168–175 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets21 : Array (List PatternEntry) := #[ + [ + { origin := 424 + mask := 145138297339904 + certificate := .k4 2 [2, 3, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2216 + mask := 3474747736396398592 + certificate := .k4 4 [4, 7, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4520 + mask := 22170623346974 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5032 + mask := 2814751177982238 + certificate := .k4 0 [0, 1, 6, 3, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 169 + mask := 38562071818338304 + certificate := .sharedThree 2 6 0 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 425 + mask := 145839921037312 + certificate := .k4 2 [2, 4, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2217 + mask := 3571849009859395584 + certificate := .k4 4 [4, 6, 7, 5] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3753 + mask := 11613042903115786 + certificate := .k4 0 [0, 3, 6, 5, 1] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4009 + mask := 731914107002871808 + certificate := .k4 1 [1, 7, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4777 + mask := 142936606679306 + certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7081 + mask := 12191831605395738 + certificate := .k4 0 [0, 1, 6, 5, 4] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 170 + mask := 38562660219879424 + certificate := .sharedThree 4 6 0 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 426 + mask := 147334566683648 + certificate := .k4 1 [1, 2, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 682 + mask := 3602880397681139712 + certificate := .k4 1 [1, 7, 4] 1 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1450 + mask := 12094628113422 + certificate := .k4 0 [0, 2, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2218 + mask := 3576229326745501696 + certificate := .k4 4 [4, 5, 7, 6] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4010 + mask := 731914107539742720 + certificate := .k4 1 [1, 7, 3, 6, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4266 + mask := 4794363278362984714 + certificate := .k4 0 [0, 1, 3, 7, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4522 + mask := 22170673676318 + certificate := .k4 0 [0, 2, 3, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7082 + mask := 12384899566756110 + certificate := .k4 0 [0, 1, 2, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 171 + mask := 38712704902365184 + certificate := .sharedThree 5 6 0 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 427 + mask := 147334568649728 + certificate := .k4 1 [1, 5, 2] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 683 + mask := 3603023334192709632 + certificate := .k4 4 [4, 7, 5] 1 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 939 + mask := 19972403243008 + certificate := .k4 1 [1, 5, 4, 3] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1451 + mask := 12094630600974 + certificate := .k4 0 [0, 1, 2, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2987 + mask := 2814750858234894 + certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4011 + mask := 792633536590021646 + certificate := .k4 0 [0, 3, 7, 1, 2] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5291 + mask := 9663629171376406 + certificate := .k4 0 [0, 1, 4, 6, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7083 + mask := 12384899566822666 + certificate := .k4 0 [0, 1, 3, 2, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9899 + mask := 2892931643075486734 + certificate := .k4 0 [0, 3, 7, 5, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10667 + mask := 4945023880594990358 + certificate := .k4 0 [0, 1, 4, 2, 7, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 940 + mask := 20903605838098 + certificate := .k4 0 [0, 1, 4, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2988 + mask := 2814750875010318 + certificate := .k4 0 [0, 1, 2, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4524 + mask := 22170925334558 + certificate := .k4 0 [0, 2, 5, 4, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7084 + mask := 12384899634323722 + certificate := .k4 0 [0, 1, 3, 2, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10924 + mask := 2885263662928446486 + certificate := .k4 0 [0, 2, 4, 5, 7, 3, 6, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 173 + mask := 40813871632547840 + certificate := .sharedThree 2 6 0 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 429 + mask := 147334568779776 + certificate := .k4 1 [1, 5, 2] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 685 + mask := 3746995044602609664 + certificate := .k4 2 [2, 4, 7] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1197 + mask := 9590361324281856 + certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1709 + mask := 2814750924753934 + certificate := .k4 0 [0, 3, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1965 + mask := 14374327826800896 + certificate := .k4 1 [1, 6, 4, 5] 0 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3245 + mask := 5911253684012054 + certificate := .k4 0 [0, 2, 4, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7085 + mask := 12384900068106510 + certificate := .k4 0 [0, 1, 2, 3, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 174 + mask := 40813874055741440 + certificate := .sharedThree 3 6 0 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 686 + mask := 3746995577178554368 + certificate := .k4 2 [2, 7, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1198 + mask := 9642716982027264 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1710 + mask := 2814750941529358 + certificate := .k4 0 [0, 1, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2222 + mask := 3603029830901170176 + certificate := .k4 3 [3, 5, 7, 4] 1 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3246 + mask := 5911253684978966 + certificate := .k4 0 [0, 1, 4, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3502 + mask := 10207865956688134 + certificate := .k4 0 [0, 1, 2, 6, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4270 + mask := 4796615091011240210 + certificate := .k4 0 [0, 1, 4, 7, 6] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6062 + mask := 23231528447006 + certificate := .k4 0 [0, 3, 4, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8622 + mask := 2450103333113331998 + certificate := .k4 0 [0, 1, 3, 7, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 175 + mask := 40973300809072640 + certificate := .sharedThree 5 6 0 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 431 + mask := 149536343851008 + certificate := .k4 2 [2, 3, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 687 + mask := 3746995594350034944 + certificate := .k4 2 [2, 4, 7] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1711 + mask := 2814750958306318 + certificate := .k4 0 [0, 3, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2735 + mask := 19971883149338 + certificate := .k4 0 [0, 3, 4, 5, 1] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6319 + mask := 158488599896338 + certificate := .k4 0 [0, 1, 4, 2, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7087 + mask := 12384900118962438 + certificate := .k4 0 [0, 1, 2, 3, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets21 : Array (List HardEntry) := #[ + [ + { origin := 680 + code := 8694995735922566430 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 6, 5, 7] 1 0 2 5 6 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1192 + code := 7148788942262922270 + certificate := .residual 1557451065360065 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5544 + code := 4147065159672848670 + certificate := .residual 1743768118813285 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5800 + code := 8658053363130885150 + certificate := .residual 1006185302497203 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 681 + code := 7690126770580972830 + certificate := .residual 3917770616636806 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1193 + code := 3870992639705902110 + certificate := .residual 2124303467080368 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5545 + code := 3285751730938241310 + certificate := .residual 2965307265735362 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5801 + code := 3871005840320947230 + certificate := .residual 4346704731131392 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 682 + code := 8686829787667457310 + certificate := .residual 1200473168846675 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1194 + code := 2853406031337384990 + certificate := .residual 745345242176418 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5546 + code := 3858839181567648030 + certificate := .residual 3598364165457602 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5802 + code := 3294545062482600990 + certificate := .residual 2300026473644256 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 683 + code := 8694980342994658590 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 5 6 7 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1195 + code := 5163823246521953310 + certificate := .residual 4386519886533905 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5547 + code := 3284630229077909790 + certificate := .residual 3483757257779013 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5803 + code := 2862199524024837150 + certificate := .residual 4058030306505510 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 684 + code := 8686254751860614430 + certificate := .hubPentagon 0 [0, 1, 2, 3, 5, 6, 4, 7] 0 1 2 4 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1196 + code := 3140070683872619550 + certificate := .residual 4408292418399749 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5548 + code := 6428199943587160350 + certificate := .residual 1479374686682706 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5804 + code := 6463102140822512670 + certificate := .residual 4410321790404999 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 685 + code := 5452902448340624670 + certificate := .residual 4395315711156500 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1197 + code := 2851840324900776990 + certificate := .residual 2516829114190386 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5549 + code := 6425956939866497310 + certificate := .residual 3598277794842311 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5805 + code := 3285751563637416990 + certificate := .residual 2300026473644257 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 686 + code := 5447619063275808030 + certificate := .residual 4395315711156499 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1198 + code := 3145366056426040350 + certificate := .residual 316285286000881 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5550 + code := 5564643511131889950 + certificate := .residual 2112843219198546 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5806 + code := 6428199776286336030 + certificate := .residual 329821925048562 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 687 + code := 6453032278568428830 + certificate := .residual 4209620647985318 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1199 + code := 2857909870174694430 + certificate := .residual 3755400116770066 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5551 + code := 6137730961761296670 + certificate := .residual 2745855209049682 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5807 + code := 2862131475133424670 + certificate := .residual 1076536984246195 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData22.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData22.lean new file mode 100644 index 000000000..ffe1190a8 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData22.lean @@ -0,0 +1,421 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 176–183 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets22 : Array (List PatternEntry) := #[ + [ + { origin := 176 + mask := 45317471250456832 + certificate := .sharedThree 1 6 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 432 + mask := 150258088673280 + certificate := .k4 3 [3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 688 + mask := 3746995594357374976 + certificate := .k4 2 [2, 7, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1200 + mask := 9642718619772928 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2992 + mask := 2814750908566542 + certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3248 + mask := 5911253688140822 + certificate := .k4 0 [0, 4, 6, 2, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5040 + mask := 2814802716016926 + certificate := .k4 0 [0, 1, 6, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8624 + mask := 2450103371482824990 + certificate := .k4 0 [0, 1, 4, 7, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 177 + mask := 45317471260966912 + certificate := .sharedThree 2 6 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 689 + mask := 3747140729881755648 + certificate := .k4 4 [4, 7, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 945 + mask := 21036749824274 + certificate := .k4 0 [0, 1, 5, 4] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1969 + mask := 14636889651806208 + certificate := .k4 2 [2, 4, 6, 3] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2225 + mask := 3747144426516381696 + certificate := .k4 2 [2, 7, 5, 3] 2 3 4 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 178 + mask := 45317473951547392 + certificate := .sharedThree 3 6 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 690 + mask := 3747153219658186752 + certificate := .k4 2 [2, 7, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 946 + mask := 22016005645312 + certificate := .k4 1 [1, 2, 4, 5] 1 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1458 + mask := 12270721573146 + certificate := .k4 0 [0, 1, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1970 + mask := 14636990850032640 + certificate := .k4 1 [1, 2, 4, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2994 + mask := 2814750941724942 + certificate := .k4 0 [0, 1, 2, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6578 + mask := 5629778812470558 + certificate := .k4 0 [0, 1, 4, 6, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8626 + mask := 2450107731744489758 + certificate := .k4 0 [0, 1, 2, 7, 5, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10674 + mask := 4945031569138122782 + certificate := .k4 0 [0, 3, 4, 5, 6, 7, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 179 + mask := 45318162740150272 + certificate := .sharedThree 4 6 0 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 691 + mask := 4035225440875446272 + certificate := .k4 3 [3, 4, 7] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10931 + mask := 2892085062324536598 + certificate := .k4 0 [0, 1, 2, 6, 5, 7, 3, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 180 + mask := 45598946237743104 + certificate := .sharedThree 2 6 1 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 436 + mask := 151735322583040 + certificate := .k4 1 [1, 5, 3] 1 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 692 + mask := 4035225956271521792 + certificate := .k4 3 [3, 7, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 948 + mask := 22042379812864 + certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1204 + mask := 9644916003202048 + certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1716 + mask := 3096224744033294 + certificate := .k4 0 [0, 2, 1, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1972 + mask := 14637115403993108 + certificate := .k4 0 [0, 2, 4, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4532 + mask := 26530616970526 + certificate := .k4 0 [0, 1, 4, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9908 + mask := 3458909134246716430 + certificate := .k4 0 [0, 2, 3, 4, 7, 5, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10932 + mask := 2892647981982485526 + certificate := .k4 0 [0, 2, 4, 6, 5, 7, 3, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 181 + mask := 45598948945035264 + certificate := .sharedThree 3 6 1 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 437 + mask := 153933853491200 + certificate := .k4 2 [2, 3, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 693 + mask := 4035225988483776512 + certificate := .k4 3 [3, 4, 7] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 949 + mask := 22042581139456 + certificate := .k4 2 [2, 4, 5, 3] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1205 + mask := 9644916005168128 + certificate := .k4 1 [1, 6, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1717 + mask := 3096224748617998 + certificate := .k4 0 [0, 1, 2, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5301 + mask := 10133099218299916 + certificate := .k4 0 [0, 2, 3, 6, 1] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 182 + mask := 45599642011828224 + certificate := .sharedThree 4 6 1 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 438 + mask := 153934323253248 + certificate := .k4 2 [2, 5, 3] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 694 + mask := 4035225990362824704 + certificate := .k4 3 [3, 7, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 950 + mask := 22136264729600 + certificate := .k4 1 [1, 2, 5, 4] 1 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1974 + mask := 14709567204123648 + certificate := .k4 1 [1, 5, 6, 4] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5302 + mask := 10133099252441354 + certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5558 + mask := 13583667297264918 + certificate := .k4 0 [0, 1, 5, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 183 + mask := 46161896180589568 + certificate := .sharedThree 1 6 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 439 + mask := 153934388264960 + certificate := .k4 2 [2, 3, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 695 + mask := 4035375521259847680 + certificate := .k4 4 [4, 7, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 951 + mask := 22153442501632 + certificate := .k4 1 [1, 2, 4, 5] 1 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1207 + mask := 9644916005298176 + certificate := .k4 1 [1, 6, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1463 + mask := 13194948575260 + certificate := .k4 0 [0, 2, 5, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2231 + mask := 4793032869243053056 + certificate := .k4 1 [1, 5, 7, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4279 + mask := 4936789616540845318 + certificate := .k4 0 [0, 1, 2, 7, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5559 + mask := 13583671592231958 + certificate := .k4 0 [0, 4, 6, 5, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10679 + mask := 4945040532180109598 + certificate := .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10935 + mask := 3463977023622956046 + certificate := .k4 0 [0, 2, 3, 5, 7, 4, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets22 : Array (List HardEntry) := #[ + [ + { origin := 688 + code := 5446478027099301150 + certificate := .residual 1180592915422816 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1200 + code := 8190520808261053470 + certificate := .residual 3340489419434384 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5552 + code := 5563522009271558430 + certificate := .residual 3795001091000460 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5808 + code := 8661921326120494110 + certificate := .residual 3792550812012032 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 689 + code := 6020686714341254430 + certificate := .residual 1180591036317280 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1201 + code := 7175172822746557470 + certificate := .residual 1385418510359858 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5553 + code := 5419406829785637150 + certificate := .residual 1440100703976482 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5809 + code := 8659669500771886110 + certificate := .residual 2300146762088672 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 690 + code := 8695556580571833630 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1202 + code := 3714156749630499870 + certificate := .residual 1836423914256849 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5554 + code := 5559581359832490270 + certificate := .residual 2488895302259746 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5810 + code := 8657980676681425950 + certificate := .residual 3495217674597158 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 691 + code := 8262373201368802590 + certificate := .residual 3364699080770950 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1203 + code := 6171834931792604190 + certificate := .residual 2466096771748179 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5555 + code := 7654243378631205150 + certificate := .residual 1076503153121200 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5811 + code := 8185658630621291550 + certificate := .residual 3917740551801223 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 692 + code := 8693867756481373470 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 6 5 7 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1204 + code := 7172921005954329630 + certificate := .residual 2439850161576241 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5556 + code := 5420588367487361310 + certificate := .residual 271811993518576 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5812 + code := 3862203246043653150 + certificate := .residual 329701636604146 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 693 + code := 8694645099340719390 + certificate := .residual 1201420201910099 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1205 + code := 6137214037938170910 + certificate := .residual 2457438184773940 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5557 + code := 7654234557003260190 + certificate := .residual 3792806362688009 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5813 + code := 6425956498761507870 + certificate := .residual 2300146762088673 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 694 + code := 4154172533488968990 + certificate := .residual 4270231219241126 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1206 + code := 5993101048885570590 + certificate := .residual 2762475386139841 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5558 + code := 7650870051422265630 + certificate := .residual 3792806362688008 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5814 + code := 3150416706054251550 + certificate := .residual 3323172111280787 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 695 + code := 8693798488305788190 + certificate := .hubPentagon 0 [0, 1, 2, 4, 5, 6, 3, 7] 0 1 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1207 + code := 2858191212510735390 + certificate := .residual 2277590691181794 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5559 + code := 8688935906493784350 + certificate := .residual 3916898738204930 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5815 + code := 3150353183487943710 + certificate := .residual 3271220128164244 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData23.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData23.lean new file mode 100644 index 000000000..62f137ec0 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData23.lean @@ -0,0 +1,373 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 184–191 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets23 : Array (List PatternEntry) := #[ + [ + { origin := 184 + mask := 46161898932011008 + certificate := .sharedThree 3 6 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 440 + mask := 153934389837824 + certificate := .k4 2 [2, 5, 3] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 696 + mask := 4035383598751154176 + certificate := .k4 3 [3, 7, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1208 + mask := 9647115026441216 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1464 + mask := 13194965286940 + certificate := .k4 0 [0, 3, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2744 + mask := 21032457085974 + certificate := .k4 0 [0, 4, 5, 1, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3000 + mask := 2814764027756826 + certificate := .k4 0 [0, 1, 4, 6, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4024 + mask := 864691169602306076 + certificate := .k4 0 [0, 4, 3, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4280 + mask := 4936789616540910854 + certificate := .k4 0 [0, 1, 2, 7, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4536 + mask := 26530651176990 + certificate := .k4 0 [0, 4, 5, 3, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 185 + mask := 46162600555184128 + certificate := .sharedThree 4 6 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 697 + mask := 4729273289459892224 + certificate := .k4 5 [5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4281 + mask := 4937071092621265920 + certificate := .k4 1 [1, 2, 3, 7, 6] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5561 + mask := 13583684477135130 + certificate := .k4 0 [0, 1, 5, 6, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 442 + mask := 159034060570624 + certificate := .k4 2 [2, 4, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 698 + mask := 4755801206516007936 + certificate := .k4 1 [1, 2, 7] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1466 + mask := 13195031871516 + certificate := .k4 0 [0, 3, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4794 + mask := 143640897855750 + certificate := .k4 0 [0, 1, 2, 5, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5306 + mask := 10133120643916050 + certificate := .k4 0 [0, 1, 4, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 187 + mask := 47287796098400256 + certificate := .sharedThree 2 6 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 443 + mask := 159054181695488 + certificate := .k4 3 [3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2747 + mask := 21033008506906 + certificate := .k4 0 [0, 3, 4, 5, 1] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8891 + mask := 83602348138774 + certificate := .k4 0 [0, 1, 2, 4, 3, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 188 + mask := 47288517641895936 + certificate := .sharedThree 4 6 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1212 + mask := 9649315152685056 + certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1724 + mask := 3096538276446490 + certificate := .k4 0 [0, 1, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 701 + mask := 4793518853395185664 + certificate := .k4 2 [2, 6, 7] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 957 + mask := 22180019044352 + certificate := .k4 2 [2, 5, 4, 3] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1213 + mask := 9649315656001536 + certificate := .k4 1 [1, 6, 5, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2237 + mask := 4797459803704181760 + certificate := .k4 1 [1, 7, 6, 4] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2749 + mask := 21033025284122 + certificate := .k4 0 [0, 4, 5, 1, 3] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3517 + mask := 10208965468235014 + certificate := .k4 0 [0, 1, 2, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6333 + mask := 161099938997268 + certificate := .k4 0 [0, 2, 4, 1, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 190 + mask := 49539595912609792 + certificate := .sharedThree 2 6 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 702 + mask := 4794644756544094208 + certificate := .k4 3 [3, 6, 7] 1 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 958 + mask := 23111221182484 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1214 + mask := 9649315689539584 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1470 + mask := 14294204818702 + certificate := .k4 0 [0, 1, 3, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1726 + mask := 3377700849451022 + certificate := .k4 0 [0, 3, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4030 + mask := 864718221990166528 + certificate := .k4 2 [2, 3, 7, 5, 4] 2 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8638 + mask := 2461709777572036878 + certificate := .k4 0 [0, 1, 2, 7, 5, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10430 + mask := 1297059413163016474 + certificate := .k4 0 [0, 1, 7, 4, 5, 2, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 191 + mask := 49539598853865472 + certificate := .sharedThree 3 6 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 447 + mask := 161224482398208 + certificate := .k4 1 [1, 5, 4] 1 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 703 + mask := 4796897386326654976 + certificate := .k4 4 [4, 6, 7] 1 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 959 + mask := 23111222165524 + certificate := .k4 0 [0, 4, 2, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1215 + mask := 9649315689553920 + certificate := .k4 1 [1, 6, 5, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1983 + mask := 15762908812673024 + certificate := .k4 2 [2, 3, 4, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets23 : Array (List HardEntry) := #[ + [ + { origin := 696 + code := 3723520191431927070 + certificate := .residual 4334705125450003 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1208 + code := 3136570097621560350 + certificate := .residual 3532334445632161 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5560 + code := 4149307752687264030 + certificate := .residual 3918146426341516 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5816 + code := 8659170047632204830 + certificate := .residual 3340489419434388 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 697 + code := 3718236806367110430 + certificate := .residual 4334705125450004 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1209 + code := 2849465621376691230 + certificate := .residual 3535686768138901 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5561 + code := 3862203276442394910 + certificate := .residual 2112813121397330 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5817 + code := 8659093382465971230 + certificate := .residual 3253902820010643 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 698 + code := 8697799490038621470 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1210 + code := 6172613626560015390 + certificate := .residual 941840974194625 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5562 + code := 4147064748966600990 + certificate := .residual 2605151948312146 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5818 + code := 6460859423606891550 + certificate := .residual 4411419154721159 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 699 + code := 7688164141790618910 + certificate := .residual 3363616748897670 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1211 + code := 6171492124699683870 + certificate := .residual 822483828394932 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5563 + code := 3858838770861400350 + certificate := .residual 3598243905914567 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5819 + code := 7609207234720097310 + certificate := .residual 3918837916117383 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 700 + code := 8696888256942531870 + certificate := .residual 1200337870036819 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1212 + code := 3858394537765923870 + certificate := .residual 831277788613553 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5564 + code := 3284629818371662110 + certificate := .residual 1620108045221458 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5820 + code := 3870997164017771550 + certificate := .residual 1738176031678688 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 701 + code := 8693858840599553310 + certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 6 5 7 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1213 + code := 2857909737550801950 + certificate := .residual 3362744870465797 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5565 + code := 6428199532880912670 + certificate := .residual 3483791146706757 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5821 + code := 3294536386179425310 + certificate := .residual 4346719763574272 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 702 + code := 8693789841949943070 + certificate := .hubPentagon 0 [0, 1, 2, 3, 5, 6, 4, 7] 0 1 2 4 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1214 + code := 2849465617098501150 + certificate := .residual 1785343964149538 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5566 + code := 6141095056636043550 + certificate := .residual 4090932426791618 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5822 + code := 2862190847721661470 + certificate := .residual 4058032185611046 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 703 + code := 3141767489127671070 + certificate := .residual 4326046471266580 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1215 + code := 2860161430275517470 + certificate := .residual 837910979072946 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5567 + code := 6425956529160249630 + certificate := .residual 3598638605584066 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5823 + code := 3285751593451054110 + certificate := .residual 260432403939570 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData24.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData24.lean new file mode 100644 index 000000000..f2100d1fe --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData24.lean @@ -0,0 +1,433 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 192–199 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets24 : Array (List PatternEntry) := #[ + [ + { origin := 192 + mask := 1008806316530991118 + certificate := .sharedThree 0 7 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 448 + mask := 163294668128256 + certificate := .k4 2 [2, 4, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 704 + mask := 4899916394591863808 + certificate := .k4 1 [1, 2, 7] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 960 + mask := 23231479218196 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1984 + mask := 15763016129708056 + certificate := .k4 0 [0, 3, 4, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2240 + mask := 4800837202783429632 + certificate := .k4 1 [1, 2, 7, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10944 + mask := 3468546353679385870 + certificate := .k4 0 [0, 1, 2, 6, 5, 7, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 193 + mask := 1585267068834414614 + certificate := .sharedThree 0 7 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 449 + mask := 163414927212544 + certificate := .k4 2 [2, 5, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 705 + mask := 4899916397880541184 + certificate := .k4 2 [2, 3, 7] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 961 + mask := 23231481249812 + certificate := .k4 0 [0, 4, 5, 2] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1473 + mask := 14315129667612 + certificate := .k4 0 [0, 4, 2, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1729 + mask := 3377701068537884 + certificate := .k4 0 [0, 2, 6, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3265 + mask := 6755692909232156 + certificate := .k4 0 [0, 2, 4, 6, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 194 + mask := 1873497444986126362 + certificate := .sharedThree 0 7 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 450 + mask := 163432104984576 + certificate := .k4 2 [2, 4, 5] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 706 + mask := 4899917236406321152 + certificate := .k4 2 [2, 4, 7] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 962 + mask := 23244364120084 + certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1218 + mask := 9651514679240704 + certificate := .k4 1 [1, 5, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1474 + mask := 14333178282012 + certificate := .k4 0 [0, 4, 3, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1730 + mask := 3377701085249564 + certificate := .k4 0 [0, 3, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1986 + mask := 15835484290836480 + certificate := .k4 1 [1, 5, 6, 4] 1 3 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 195 + mask := 2017612633061982236 + certificate := .sharedThree 0 7 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 451 + mask := 163432106033152 + certificate := .k4 2 [2, 5, 4] 2 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 707 + mask := 4937634041458377728 + certificate := .k4 1 [1, 6, 7] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 963 + mask := 23244365168660 + certificate := .k4 0 [0, 2, 5, 4] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1731 + mask := 3377701135122460 + certificate := .k4 0 [0, 2, 6, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2243 + mask := 4801963102690271232 + certificate := .k4 1 [1, 7, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5059 + mask := 3096277660270606 + certificate := .k4 0 [0, 2, 4, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5315 + mask := 10205666933812238 + certificate := .k4 0 [0, 2, 6, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6339 + mask := 162869463458070 + certificate := .k4 0 [0, 1, 2, 4, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6595 + mask := 5629813373665310 + certificate := .k4 0 [0, 4, 3, 6, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 196 + mask := 2522015791329771520 + certificate := .sharedThree 2 7 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 452 + mask := 167712835764224 + certificate := .k4 3 [3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 708 + mask := 4939322894606925824 + certificate := .k4 3 [3, 6, 7] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 964 + mask := 26432067610624 + certificate := .k4 1 [1, 3, 4, 5] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1732 + mask := 3377701151834140 + certificate := .k4 0 [0, 3, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2756 + mask := 21045342905606 + certificate := .k4 0 [0, 1, 5, 4, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4804 + mask := 145135629934858 + certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 197 + mask := 2522015791914680320 + certificate := .sharedThree 3 7 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 453 + mask := 167815914979328 + certificate := .k4 3 [3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 709 + mask := 4941575532945866752 + certificate := .k4 4 [4, 6, 7] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2245 + mask := 4803089004234858496 + certificate := .k4 1 [1, 7, 6, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4549 + mask := 26556353219606 + certificate := .k4 0 [0, 4, 5, 3, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7365 + mask := 1441152434901748766 + certificate := .k4 0 [0, 3, 4, 7, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 198 + mask := 2522015941651333120 + certificate := .sharedThree 4 7 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 454 + mask := 167849737846784 + certificate := .k4 3 [3, 4, 5] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 710 + mask := 5044031582659331072 + certificate := .k4 1 [1, 2, 7] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2502 + mask := 6597122729230 + certificate := .k4 0 [0, 1, 3, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7110 + mask := 12738942809957390 + certificate := .k4 0 [0, 3, 6, 5, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7366 + mask := 1441152434918525982 + certificate := .k4 0 [0, 4, 7, 2, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8646 + mask := 2594222932394901534 + certificate := .k4 0 [0, 3, 4, 5, 7, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 199 + mask := 2531867415512350720 + certificate := .sharedThree 6 7 0 1 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 455 + mask := 167850006282240 + certificate := .k4 3 [3, 5, 4] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 711 + mask := 5044031582667588608 + certificate := .k4 1 [1, 7, 2] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 967 + mask := 26440694235136 + certificate := .k4 2 [2, 4, 3, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1223 + mask := 9658531045203968 + certificate := .k4 1 [1, 6, 5, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1479 + mask := 18846319846656 + certificate := .k4 1 [1, 2, 4, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2247 + mask := 4805341223311171584 + certificate := .k4 1 [1, 7, 6, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2503 + mask := 6597122731022 + certificate := .k4 0 [0, 3, 1, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5575 + mask := 13586944357311766 + certificate := .k4 0 [0, 1, 4, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8135 + mask := 9644954657243422 + certificate := .k4 0 [0, 1, 4, 6, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10439 + mask := 1441159062240111630 + certificate := .k4 0 [0, 3, 4, 7, 2, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets24 : Array (List HardEntry) := #[ + [ + { origin := 704 + code := 3149311144688313630 + certificate := .residual 4326046471266579 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1216 + code := 8192763675079633950 + certificate := .residual 1346452657004224 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5568 + code := 6137730551055048990 + certificate := .residual 1743497469813349 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5824 + code := 6428199806099973150 + certificate := .residual 1738296320123105 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 705 + code := 4154163609050768670 + certificate := .residual 4200961986576550 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1217 + code := 2860442772611558430 + certificate := .residual 3300931671773570 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5569 + code := 5563521598565310750 + certificate := .residual 3105888168454850 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5825 + code := 2862122824499389470 + certificate := .residual 1077636227667891 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 706 + code := 3145366216958895390 + certificate := .residual 1171934254014048 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1218 + code := 3139947540449356830 + certificate := .residual 1423471131106978 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5570 + code := 4149305562253943070 + certificate := .residual 1442295531355170 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5826 + code := 8661912649817318430 + certificate := .residual 1738296320123104 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 707 + code := 3721818044823594270 + certificate := .residual 1171932374908512 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1219 + code := 3860508104845716510 + certificate := .residual 2748068731522130 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5571 + code := 4145367103248195870 + certificate := .residual 2486971123880994 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5827 + code := 8659660824468710430 + certificate := .residual 3792565844454912 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 708 + code := 6028587786195068190 + certificate := .residual 1231998015078208 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1220 + code := 3716955866723281950 + certificate := .residual 4248894620216519 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5572 + code := 5590597052753568030 + certificate := .residual 953325712673712 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5828 + code := 8657972000378250270 + certificate := .residual 3495219553702694 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 709 + code := 3726950546396570910 + certificate := .residual 1231999897796416 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1221 + code := 2852277932407680030 + certificate := .residual 918775720543186 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5573 + code := 6164814548788896030 + certificate := .residual 945629131221936 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5829 + code := 3862203275857290270 + certificate := .residual 1738176031678689 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 710 + code := 5454378726616884510 + certificate := .residual 1223339360894784 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1222 + code := 3713030610212121630 + certificate := .residual 1551650411027922 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5574 + code := 5563515412202184990 + certificate := .residual 1872341987358754 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5830 + code := 6425956528575144990 + certificate := .residual 260552692383986 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 711 + code := 3150498346195641630 + certificate := .residual 1223341243612992 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1223 + code := 2851717181477514270 + certificate := .residual 4349966758980876 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5575 + code := 3138258826163708190 + certificate := .residual 2426225198872610 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5831 + code := 8658044164888519710 + certificate := .residual 1007284545918899 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData25.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData25.lean new file mode 100644 index 000000000..151be404c --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData25.lean @@ -0,0 +1,413 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 200–207 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets25 : Array (List PatternEntry) := #[ + [ + { origin := 200 + mask := 2666130979403343104 + certificate := .sharedThree 1 7 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 456 + mask := 844424934540544 + certificate := .k4 1 [1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 712 + mask := 5044031582667686912 + certificate := .k4 1 [1, 2, 7] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 968 + mask := 26535146825728 + certificate := .k4 1 [1, 3, 5, 4] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1736 + mask := 3659175787775246 + certificate := .k4 0 [0, 1, 3, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1992 + mask := 36592588799755264 + certificate := .k4 1 [1, 2, 6, 4] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4296 + mask := 4938478466485452812 + certificate := .k4 0 [0, 3, 2, 7, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9416 + mask := 11331619718242590 + certificate := .k4 0 [0, 1, 2, 5, 6, 3, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 201 + mask := 2666130980024090624 + certificate := .sharedThree 3 7 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 713 + mask := 5044031582667718656 + certificate := .k4 1 [1, 7, 2] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4041 + mask := 936748724665877518 + certificate := .k4 0 [0, 3, 7, 2, 1] 0 1 2 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6345 + mask := 162882349408518 + certificate := .k4 0 [0, 1, 2, 4, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 202 + mask := 2666131138317123584 + certificate := .sharedThree 4 7 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 714 + mask := 5080623329640054784 + certificate := .k4 2 [2, 7, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 970 + mask := 26568969693184 + certificate := .k4 1 [1, 3, 4, 5] 1 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2762 + mask := 22136264656150 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4554 + mask := 27642410641678 + certificate := .k4 0 [0, 1, 2, 4, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 203 + mask := 2676545553541627904 + certificate := .sharedThree 6 7 0 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 459 + mask := 918092209217792 + certificate := .k4 1 [1, 5, 6] 0 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 715 + mask := 5081186279580812288 + certificate := .k4 1 [1, 7, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1739 + mask := 3659196177842204 + certificate := .k4 0 [0, 4, 2, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2507 + mask := 6597155826702 + certificate := .k4 0 [0, 2, 3, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4299 + mask := 4940730287689629716 + certificate := .k4 0 [0, 2, 4, 7, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4555 + mask := 72567824149516 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 204 + mask := 2954361355555055872 + certificate := .sharedThree 1 7 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 460 + mask := 1407374887961856 + certificate := .k4 1 [1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1228 + mask := 10139696235701248 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1740 + mask := 3659214761230364 + certificate := .k4 0 [0, 4, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4556 + mask := 72567858160906 + certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4812 + mask := 145157021409554 + certificate := .k4 0 [0, 1, 4, 2, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8652 + mask := 2594231895487217694 + certificate := .k4 0 [0, 2, 3, 7, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9932 + mask := 3469392947265430550 + certificate := .k4 0 [0, 4, 7, 5, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10444 + mask := 1442841315032714254 + certificate := .k4 0 [0, 3, 4, 7, 2, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 205 + mask := 2954361355557732352 + certificate := .sharedThree 2 7 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 717 + mask := 5188146774032252928 + certificate := .k4 2 [2, 3, 7] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 973 + mask := 26577595793408 + certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1229 + mask := 10139696237667328 + certificate := .k4 1 [1, 5, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1485 + mask := 19954418066710 + certificate := .k4 0 [0, 1, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2253 + mask := 4938759941378296832 + certificate := .k4 1 [1, 6, 7, 2] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4557 + mask := 72567858290954 + certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6605 + mask := 5642995167264768 + certificate := .k4 2 [2, 5, 6, 3, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7373 + mask := 1729382813176302622 + certificate := .k4 0 [0, 4, 7, 3, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 206 + mask := 2954361531648704512 + certificate := .sharedThree 4 7 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 718 + mask := 5188147633213931520 + certificate := .k4 3 [3, 4, 7] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 974 + mask := 26577596317696 + certificate := .k4 2 [2, 4, 3, 5] 2 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1486 + mask := 19958713033750 + certificate := .k4 0 [0, 4, 5, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2510 + mask := 6597156285454 + certificate := .k4 0 [0, 3, 2, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4302 + mask := 4945521937888601088 + certificate := .k4 1 [1, 5, 6, 7, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4558 + mask := 72569395047436 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6606 + mask := 5643012146331648 + certificate := .k4 2 [2, 5, 6, 3, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8654 + mask := 2603854640815098894 + certificate := .k4 0 [0, 2, 7, 5, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10702 + mask := 5228698273575021824 + certificate := .k4 1 [1, 2, 3, 7, 6, 4, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 207 + mask := 2965901829600182272 + certificate := .sharedThree 6 7 0 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 463 + mask := 1483241192226816 + certificate := .k4 2 [2, 5, 6] 0 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1231 + mask := 10139696237797376 + certificate := .k4 1 [1, 5, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4303 + mask := 4946150858537591808 + certificate := .k4 1 [1, 5, 6, 7, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6863 + mask := 10215562540491022 + certificate := .k4 0 [0, 1, 5, 6, 2] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10959 + mask := 5224741857310893078 + certificate := .k4 0 [0, 2, 4, 3, 7, 6, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets25 : Array (List HardEntry) := #[ + [ + { origin := 712 + code := 6022942919503668510 + certificate := .residual 2400121526892880 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1224 + code := 6139399885039365150 + certificate := .residual 2912406333990722 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5576 + code := 7653108657063256350 + certificate := .residual 1094062862338992 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5832 + code := 6028513859379717150 + certificate := .residual 3911135697111442 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 713 + code := 5446490950458696990 + certificate := .residual 4410727664945291 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1225 + code := 5995847646916930590 + certificate := .residual 2317541180409957 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5577 + code := 3716962188460089630 + certificate := .residual 1872071338358818 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5833 + code := 7607518384860226590 + certificate := .residual 4403716935715218 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 714 + code := 3140087327753790750 + certificate := .residual 2968558023252640 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1226 + code := 5131169712601328670 + certificate := .residual 3545814802741570 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5578 + code := 8227326153098584350 + certificate := .residual 1086366280887216 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5834 + code := 7580567156377052190 + certificate := .residual 3349285244307857 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 715 + code := 6030757277541623070 + certificate := .residual 1382169606544948 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1227 + code := 5991922390405770270 + certificate := .residual 4249238479218882 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5579 + code := 6137715140914110750 + certificate := .residual 2426495847872546 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5835 + code := 7653172303111971870 + certificate := .residual 2469909343751252 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 716 + code := 6028514273820960030 + certificate := .residual 1504382905597377 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1228 + code := 5130608961671162910 + certificate := .residual 4169987741963461 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5580 + code := 8661985203826909470 + certificate := .residual 3362880162050306 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5836 + code := 3860514699801584670 + certificate := .residual 4241652773164577 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 717 + code := 3714855935957034270 + certificate := .residual 1390963566763569 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1229 + code := 2860161297651624990 + certificate := .residual 3301172189950215 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5581 + code := 6176848712146018590 + certificate := .residual 348790983099888 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5837 + code := 3284062743591183390 + certificate := .residual 4246057263699221 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 718 + code := 6020691094155060510 + certificate := .residual 4411689737676939 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1230 + code := 2851717177199324190 + certificate := .residual 346043814129778 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5582 + code := 4157549565685981470 + certificate := .residual 3361662538705416 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5838 + code := 3292772941797319710 + certificate := .residual 1978410524929108 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 719 + code := 6029347686639494430 + certificate := .residual 3532605094632096 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1231 + code := 5995847642638740510 + certificate := .residual 2316488913924193 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5583 + code := 3869323587580780830 + certificate := .residual 3361662538705417 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5839 + code := 3284047350663275550 + certificate := .residual 1978410524929105 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData26.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData26.lean new file mode 100644 index 000000000..53829879a --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData26.lean @@ -0,0 +1,453 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 208–215 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets26 : Array (List PatternEntry) := #[ + [ + { origin := 464 + mask := 1970324836992262 + certificate := .k4 0 [0, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 720 + mask := 5227553267483410432 + certificate := .k4 2 [2, 6, 7] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 976 + mask := 27526999048216 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1232 + mask := 10146294448783360 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2000 + mask := 37155559480754176 + certificate := .k4 2 [2, 3, 6, 4] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2512 + mask := 6609957823766 + certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5072 + mask := 3377713701322782 + certificate := .k4 0 [0, 3, 4, 6, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7376 + mask := 2450103332877533454 + certificate := .k4 0 [0, 1, 3, 7, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 209 + mask := 3530822107861680128 + certificate := .sharedThree 2 7 0 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 465 + mask := 1970324841365510 + certificate := .k4 0 [0, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 721 + mask := 5230931826184290304 + certificate := .k4 4 [4, 6, 7] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 977 + mask := 27527250706456 + certificate := .k4 0 [0, 4, 3, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1489 + mask := 19971597936922 + certificate := .k4 0 [0, 1, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1745 + mask := 4785366667314432 + certificate := .k4 1 [1, 2, 4, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2001 + mask := 37155576594038784 + certificate := .k4 2 [2, 4, 6, 3] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2257 + mask := 4941012041839280128 + certificate := .k4 2 [2, 7, 6, 4] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 210 + mask := 3530822108680552448 + certificate := .sharedThree 3 7 0 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 978 + mask := 27629809827864 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2514 + mask := 6609957889046 + certificate := .k4 0 [0, 2, 4, 5, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2770 + mask := 22153443476758 + certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3794 + mask := 13583392424748032 + certificate := .k4 1 [1, 2, 5, 4, 6] 1 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7378 + mask := 2450103345712627990 + certificate := .k4 0 [0, 1, 4, 7, 5, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 211 + mask := 3544614381717291008 + certificate := .sharedThree 6 7 0 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 979 + mask := 27630329921560 + certificate := .k4 0 [0, 4, 5, 3] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1747 + mask := 4876746386071808 + certificate := .k4 1 [1, 5, 4, 6] 0 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2003 + mask := 37717646887862534 + certificate := .k4 0 [0, 1, 2, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6611 + mask := 5656326743654400 + certificate := .k4 2 [2, 6, 4, 5, 3] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 212 + mask := 4827858800545562624 + certificate := .sharedThree 2 7 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 724 + mask := 5332261962061465600 + certificate := .k4 1 [1, 3, 7] 1 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 980 + mask := 27659874598936 + certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1236 + mask := 10155381459255296 + certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1492 + mask := 20890724147478 + certificate := .k4 0 [0, 1, 2, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2260 + mask := 4944952390867641344 + certificate := .k4 1 [1, 2, 7, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3284 + mask := 6768886518120448 + certificate := .k4 2 [2, 4, 5, 6, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4308 + mask := 5225019995917912330 + certificate := .k4 0 [0, 1, 3, 7, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5588 + mask := 13590282134093850 + certificate := .k4 0 [0, 3, 5, 6, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6612 + mask := 5656343722721280 + certificate := .k4 2 [2, 6, 4, 5, 3] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 213 + mask := 4827858801665245184 + certificate := .sharedThree 3 7 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 469 + mask := 2613540766613504 + certificate := .k4 3 [3, 5, 6] 0 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 725 + mask := 5332261962061496320 + certificate := .k4 1 [1, 7, 3] 1 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 981 + mask := 27660143034392 + certificate := .k4 0 [0, 3, 5, 4] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3285 + mask := 6768903697989632 + certificate := .k4 2 [2, 5, 3, 4, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4309 + mask := 5225019995934689546 + certificate := .k4 0 [0, 1, 3, 7, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 214 + mask := 4827859088303980544 + certificate := .sharedThree 4 7 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 726 + mask := 5368853709033832448 + certificate := .k4 3 [3, 7, 6] 1 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 982 + mask := 844424934409478 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1494 + mask := 20891543019802 + certificate := .k4 0 [0, 1, 3, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2262 + mask := 4944952820365262848 + certificate := .k4 2 [2, 4, 7, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2774 + mask := 22162118803484 + certificate := .k4 0 [0, 3, 2, 5, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4566 + mask := 72589249765650 + certificate := .k4 0 [0, 1, 4, 5, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8662 + mask := 2882446700512878878 + certificate := .k4 0 [0, 1, 2, 5, 7, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 215 + mask := 4827932467820232704 + certificate := .sharedThree 5 7 0 1 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 471 + mask := 3096225867890698 + certificate := .k4 0 [0, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 983 + mask := 844424934475014 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1751 + mask := 5066850228520214 + certificate := .k4 0 [0, 1, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2007 + mask := 37717650176623616 + certificate := .k4 1 [1, 2, 6, 3] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2263 + mask := 4945515340820931584 + certificate := .k4 1 [1, 6, 7, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5079 + mask := 3377744050192414 + certificate := .k4 0 [0, 2, 6, 3, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5847 + mask := 7736108523806 + certificate := .k4 0 [0, 1, 4, 5, 3] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6615 + mask := 5910975890917662 + certificate := .k4 0 [0, 1, 2, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets26 : Array (List HardEntry) := #[ + [ + { origin := 720 + code := 5452053504538993950 + certificate := .residual 1452521171082801 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 976 + code := 6461210423826017310 + certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 5, 6, 7] 0 1 2 4 7 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1232 + code := 5456273428076129310 + certificate := .residual 4408532936632834 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5584 + code := 3725701255592075550 + certificate := .residual 333399666336240 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5840 + code := 5454295824292439070 + certificate := .residual 3902339872237970 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 721 + code := 3140638170395731230 + certificate := .residual 1461315131301428 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 977 + code := 6171577092312099870 + certificate := .residual 4395315711156496 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1233 + code := 3140091574124375070 + certificate := .residual 4346960281807362 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5585 + code := 6463946565752643870 + certificate := .residual 4410442049490178 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5841 + code := 3148382858651427870 + certificate := .residual 3271220128164241 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 722 + code := 3138395166675068190 + certificate := .residual 1583528430353857 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 978 + code := 5450932123503651870 + certificate := .residual 4395315711156497 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1234 + code := 6454735974900526110 + certificate := .residual 4409479976808713 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5586 + code := 4149308008977588510 + certificate := .residual 2912182781847365 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5842 + code := 5419393459756262430 + certificate := .residual 3612876155704597 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 723 + code := 5444239125110088990 + certificate := .residual 1837173720611152 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 979 + code := 5447603640283130910 + certificate := .residual 3902373695234451 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1235 + code := 6024079260533222430 + certificate := .residual 4409479976808712 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5587 + code := 3862203532732719390 + certificate := .residual 3598334100622018 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5843 + code := 5417150456035599390 + certificate := .residual 3608471665169953 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 724 + code := 3722952748660450590 + certificate := .residual 2399022269020496 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 980 + code := 5442552740523371550 + certificate := .residual 2632264696967472 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1236 + code := 4149453854055951390 + certificate := .residual 350012371774576 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5588 + code := 4147065005256925470 + certificate := .residual 3106040459445954 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5844 + code := 5419386888456299550 + certificate := .residual 2469909343751249 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 725 + code := 5455147406041048350 + certificate := .residual 3531505851210400 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 981 + code := 6031599607043681310 + certificate := .residual 1835341575158228 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1237 + code := 6139488811347962910 + certificate := .residual 342312002915568 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5589 + code := 3285751576522318110 + certificate := .residual 2297771582243429 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5845 + code := 3722600483032458270 + certificate := .residual 3280015953037713 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 726 + code := 6030757140639540510 + certificate := .residual 1382169606544945 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 982 + code := 7184588890747530270 + certificate := .residual 3794595216460164 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1238 + code := 6452484158108298270 + certificate := .residual 1491004078448304 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5590 + code := 3284630074661986590 + certificate := .residual 4091084640762562 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5846 + code := 3866981748828595230 + certificate := .residual 2470991734230100 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 727 + code := 3717098802775614750 + certificate := .residual 1574734484585921 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 983 + code := 5166976377944632350 + certificate := .residual 3915846471280129 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1239 + code := 5420528307154283550 + certificate := .residual 816811093115810 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5591 + code := 6428199789171237150 + certificate := .residual 3364954631334028 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5847 + code := 5995853968068633630 + certificate := .residual 3678840141256225 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData27.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData27.lean new file mode 100644 index 000000000..309037de4 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData27.lean @@ -0,0 +1,449 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 216–223 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets27 : Array (List PatternEntry) := #[ + [ + { origin := 216 + mask := 4971973988617045248 + certificate := .sharedThree 1 7 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 472 + mask := 3659174702022668 + certificate := .k4 0 [0, 2, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 728 + mask := 5476377148036481024 + certificate := .k4 2 [2, 3, 7] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 984 + mask := 844424934539526 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1240 + mask := 10205666931270656 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6616 + mask := 5911253734149150 + certificate := .k4 0 [0, 3, 4, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8664 + mask := 2882446721986601246 + certificate := .k4 0 [0, 1, 4, 5, 7, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10712 + mask := 5233258674377467158 + certificate := .k4 0 [0, 1, 4, 3, 7, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10968 + mask := 5233255380138665238 + certificate := .k4 0 [0, 1, 2, 5, 6, 7, 3, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 217 + mask := 4971973989774655488 + certificate := .sharedThree 3 7 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 473 + mask := 3659175854866444 + certificate := .k4 0 [0, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 985 + mask := 844424934540294 + certificate := .k4 0 [0, 2, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1241 + mask := 10205666935333888 + certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2009 + mask := 37718488702403584 + certificate := .k4 1 [1, 2, 6, 4] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5081 + mask := 3377748312719382 + certificate := .k4 0 [0, 4, 3, 6, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5337 + mask := 10213363514681614 + certificate := .k4 0 [0, 1, 2, 6, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5593 + mask := 13591342403823898 + certificate := .k4 0 [0, 1, 4, 6, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7385 + mask := 2450107731508691214 + certificate := .k4 0 [0, 1, 2, 7, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10969 + mask := 5233257548864359446 + certificate := .k4 0 [0, 2, 4, 5, 6, 7, 3, 1] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 218 + mask := 4971974284969771008 + certificate := .sharedThree 4 7 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 730 + mask := 5476377150175576064 + certificate := .k4 2 [2, 3, 7] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7386 + mask := 2450107744594723098 + certificate := .k4 0 [0, 1, 4, 7, 5, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 219 + mask := 4972049854919344128 + certificate := .sharedThree 5 7 0 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 475 + mask := 4785370962132992 + certificate := .k4 2 [2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1243 + mask := 10205666935463936 + certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2011 + mask := 38280597986788352 + certificate := .k4 1 [1, 2, 3, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2267 + mask := 4949456419991584768 + certificate := .k4 2 [2, 7, 6, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4315 + mask := 5226427369815952384 + certificate := .k4 1 [1, 2, 3, 7, 6] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4827 + mask := 145864339292180 + certificate := .k4 0 [0, 2, 4, 5, 3] 3 4 5 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 732 + mask := 5513531847096664064 + certificate := .k4 3 [3, 7, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 988 + mask := 844426054222090 + certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1244 + mask := 10207865954526208 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1756 + mask := 5066871703357466 + certificate := .k4 0 [0, 4, 6, 1] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2268 + mask := 4949548349470539776 + certificate := .k4 2 [2, 7, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2524 + mask := 7696665944334 + certificate := .k4 0 [0, 1, 3, 5, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4060 + mask := 1297056080165118226 + certificate := .k4 0 [0, 1, 7, 4, 5] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6620 + mask := 6755679721819166 + certificate := .k4 0 [0, 2, 4, 6, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8156 + mask := 9649314918908190 + certificate := .k4 0 [0, 1, 2, 6, 5, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10716 + mask := 5233270876129132574 + certificate := .k4 0 [0, 2, 3, 7, 6, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 221 + mask := 5260204364773523456 + certificate := .sharedThree 2 7 0 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 477 + mask := 4874551657758720 + certificate := .k4 4 [4, 5, 6] 0 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 733 + mask := 5514657743728279552 + certificate := .k4 2 [2, 7, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 989 + mask := 844426054223882 + certificate := .k4 0 [0, 3, 1, 6] 0 1 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1245 + mask := 10207865956623360 + certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3037 + mask := 3096225838679054 + certificate := .k4 0 [0, 3, 6, 1, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3805 + mask := 13583796152706048 + certificate := .k4 1 [1, 2, 5, 6, 4] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6621 + mask := 6755679721882910 + certificate := .k4 0 [0, 1, 4, 2, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8669 + mask := 2882452236657501206 + certificate := .k4 0 [0, 4, 3, 7, 5, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10973 + mask := 5801203152944456718 + certificate := .k4 0 [0, 2, 3, 4, 7, 6, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 222 + mask := 5260204678301351936 + certificate := .sharedThree 4 7 0 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1758 + mask := 5348024562827542 + certificate := .k4 0 [0, 1, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2270 + mask := 5017437694924423168 + certificate := .k4 2 [2, 5, 7, 6] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4318 + mask := 5226427662110031872 + certificate := .k4 2 [2, 3, 4, 7, 6] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7902 + mask := 2533297361142814 + certificate := .k4 0 [0, 3, 4, 6, 2, 1] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 223 + mask := 5260284629117566976 + certificate := .sharedThree 5 7 0 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 479 + mask := 5348312320311314 + certificate := .k4 0 [0, 4, 6] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 735 + mask := 5764608364861456384 + certificate := .k4 2 [2, 4, 7] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2015 + mask := 38281474361786368 + certificate := .k4 2 [2, 4, 3, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6623 + mask := 6755679754980382 + certificate := .k4 0 [0, 2, 4, 1, 6, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets27 : Array (List HardEntry) := #[ + [ + { origin := 728 + code := 3714855799054951710 + certificate := .residual 1390963566763572 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 984 + code := 5166917172072115230 + certificate := .residual 4408547969025538 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1240 + code := 5420595106814192670 + certificate := .residual 3794595216460162 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5592 + code := 6141095312926368030 + certificate := .residual 1620230179855954 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5848 + code := 5993610964347970590 + certificate := .residual 3683244631790869 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 729 + code := 3148743783336142110 + certificate := .residual 4349155010119819 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 985 + code := 6031599482976168990 + certificate := .residual 2051807927923379 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1241 + code := 3718086284181335070 + certificate := .residual 4240596747572418 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5593 + code := 6425956785450574110 + certificate := .residual 2112568877968978 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5849 + code := 8227380853451842590 + certificate := .residual 1977328134450260 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 730 + code := 3714287334548071710 + certificate := .residual 2969657266674336 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 986 + code := 5450925406644956190 + certificate := .residual 3885056387080850 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1242 + code := 4146499994827975710 + certificate := .residual 3466424917571394 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5594 + code := 5564643356715966750 + certificate := .residual 3105542419408583 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5850 + code := 5993595571420062750 + certificate := .residual 1977328134450257 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 731 + code := 3722943927032505630 + certificate := .residual 4350117082851467 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 987 + code := 5162695047673113630 + certificate := .residual 4408427709883911 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1243 + code := 3141634327970933790 + certificate := .residual 4108432009574597 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5595 + code := 5563521854855635230 + certificate := .residual 2605274057106002 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5851 + code := 8181717980948259870 + certificate := .residual 4394921110841746 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 732 + code := 5454296371357574430 + certificate := .residual 1513176851365313 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 988 + code := 4158171306167331870 + certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 6, 5, 7] 0 1 2 4 7 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1244 + code := 3714161027670174750 + certificate := .residual 2316323549827173 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5596 + code := 6428193217871274270 + certificate := .residual 1995487289734178 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5852 + code := 8154766889367168030 + certificate := .residual 3340489419434385 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 733 + code := 5452053367636911390 + certificate := .residual 1452521171082804 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 989 + code := 3871061353839160350 + certificate := .residual 4326046471266576 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1245 + code := 3139952075180436510 + certificate := .residual 3044437743228226 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5597 + code := 3292862809742434590 + certificate := .residual 1007220624218032 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5853 + code := 3858262596370621470 + certificate := .residual 4175688787612949 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 734 + code := 3140638033493648670 + certificate := .residual 1461315131301425 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 990 + code := 3141759792546278430 + certificate := .residual 4326046471266577 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1246 + code := 5996978064374983710 + certificate := .residual 2043149273854418 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5598 + code := 6427636839251370270 + certificate := .residual 1380587581332514 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5854 + code := 3281810640160220190 + certificate := .residual 4171284297078305 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 735 + code := 3148734961708197150 + certificate := .residual 1836074462738768 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 991 + code := 3145370465184476190 + certificate := .residual 3340523242430867 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1247 + code := 6425391775021624350 + certificate := .residual 2747091622785106 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5599 + code := 3870928982686490910 + certificate := .residual 3301307481534722 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5855 + code := 3858256025070658590 + certificate := .residual 2470991734230097 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData28.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData28.lean new file mode 100644 index 000000000..f1ba22b35 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData28.lean @@ -0,0 +1,429 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 224–231 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets28 : Array (List PatternEntry) := #[ + [ + { origin := 480 + mask := 5910974516232212 + certificate := .k4 0 [0, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 736 + mask := 5764608385517355008 + certificate := .k4 3 [3, 4, 7] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 992 + mask := 844712692957458 + certificate := .k4 0 [0, 1, 4, 6] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1504 + mask := 22157738508310 + certificate := .k4 0 [0, 4, 5, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1760 + mask := 5348025916473626 + certificate := .k4 0 [0, 1, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3040 + mask := 3096225889404166 + certificate := .k4 0 [0, 1, 6, 3, 2] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5856 + mask := 7885845176606 + certificate := .k4 0 [0, 1, 3, 5, 4] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7392 + mask := 2450116690172936470 + certificate := .k4 0 [0, 1, 2, 7, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 225 + mask := 5836665117077471232 + certificate := .sharedThree 2 7 0 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 481 + mask := 5911270863667220 + certificate := .k4 0 [0, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1505 + mask := 22162034982940 + certificate := .k4 0 [0, 2, 5, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6369 + mask := 167300076470284 + certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7393 + mask := 2450116707402940698 + certificate := .k4 0 [0, 1, 3, 7, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7905 + mask := 2814772334054430 + certificate := .k4 0 [0, 3, 4, 6, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9953 + mask := 4800911969620754702 + certificate := .k4 0 [0, 1, 3, 7, 6, 5, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10977 + mask := 5801782698419233806 + certificate := .k4 0 [0, 2, 3, 6, 7, 4, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 226 + mask := 5836665118431117312 + certificate := .sharedThree 3 7 0 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 482 + mask := 7036875776720920 + certificate := .k4 0 [0, 3, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 738 + mask := 5806265819601043456 + certificate := .k4 2 [2, 6, 7] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 994 + mask := 1407374887830790 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1506 + mask := 22166329884700 + certificate := .k4 0 [0, 4, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2018 + mask := 38843548983935242 + certificate := .k4 0 [0, 1, 3, 6] 1 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4066 + mask := 1301822600510488850 + certificate := .k4 0 [0, 1, 7, 4, 6] 0 1 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 227 + mask := 5836754177514012672 + certificate := .sharedThree 5 7 0 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 483 + mask := 7037187950379032 + certificate := .k4 0 [0, 4, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 739 + mask := 5807391722983915520 + certificate := .k4 3 [3, 6, 7] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 995 + mask := 1407374887896326 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1507 + mask := 22179213803548 + certificate := .k4 0 [0, 2, 5, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2019 + mask := 38843549047343104 + certificate := .k4 1 [1, 3, 6, 2] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6115 + mask := 27629524823070 + certificate := .k4 0 [0, 2, 4, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6627 + mask := 6755684000597278 + certificate := .k4 0 [0, 1, 3, 2, 6, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 228 + mask := 7061644215723360256 + certificate := .sharedThree 2 7 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 484 + mask := 9362341510537472 + certificate := .k4 1 [1, 5, 6] 0 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 996 + mask := 1407374887960838 + certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1508 + mask := 22183508705308 + certificate := .k4 0 [0, 4, 5, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2788 + mask := 23231478309910 + certificate := .k4 0 [0, 2, 4, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6884 + mask := 10224358634037526 + certificate := .k4 0 [0, 1, 5, 6, 2] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8676 + mask := 2882519267964773642 + certificate := .k4 0 [0, 1, 3, 2, 7, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 229 + mask := 7061644217361104896 + certificate := .sharedThree 3 7 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 997 + mask := 1407374887961606 + certificate := .k4 0 [0, 2, 1, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1253 + mask := 10210064979877888 + certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3813 + mask := 13584887067975954 + certificate := .k4 0 [0, 1, 5, 6, 4] 0 1 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4325 + mask := 5227069485072015360 + certificate := .k4 1 [1, 6, 7, 3, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7909 + mask := 2814772417544478 + certificate := .k4 0 [0, 1, 4, 6, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9957 + mask := 4800911982455849238 + certificate := .k4 0 [0, 1, 4, 7, 6, 5, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 230 + mask := 7061644636623732736 + certificate := .sharedThree 4 7 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 486 + mask := 9368940207669248 + certificate := .k4 3 [3, 5, 6] 0 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 998 + mask := 1407375978856460 + certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2278 + mask := 5225864420898393088 + certificate := .k4 1 [1, 6, 7, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2790 + mask := 23231480340758 + certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4582 + mask := 74766847405068 + certificate := .k4 0 [0, 2, 3, 5, 1] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8422 + mask := 12384938974405906 + certificate := .k4 0 [0, 1, 4, 2, 3, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8678 + mask := 2892085019222754318 + certificate := .k4 0 [0, 3, 7, 5, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10982 + mask := 5809715571966682382 + certificate := .k4 0 [0, 1, 2, 3, 4, 7, 6, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 231 + mask := 7205759403792819200 + certificate := .sharedThree 1 7 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 487 + mask := 9378151285129216 + certificate := .k4 4 [4, 5, 6] 0 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 743 + mask := 5908723544333795328 + certificate := .k4 1 [1, 7, 4] 1 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1511 + mask := 23089831739420 + certificate := .k4 0 [0, 3, 2, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2279 + mask := 5228775928426921984 + certificate := .k4 3 [3, 5, 7, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2791 + mask := 23231480341526 + certificate := .k4 0 [0, 4, 5, 2, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4071 + mask := 1310636148279795712 + certificate := .k4 1 [1, 7, 4, 5, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4327 + mask := 5228776099688742912 + certificate := .k4 3 [3, 4, 7, 5, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets28 : Array (List HardEntry) := #[ + [ + { origin := 736 + code := 5997049396192830750 + certificate := .residual 712033508203476 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 992 + code := 3714296387598904350 + certificate := .residual 1836423914256852 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1248 + code := 5420526108164582430 + certificate := .residual 4411674705290508 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5600 + code := 8688942511618187550 + certificate := .residual 340011981866480 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 737 + code := 6427699539260171550 + certificate := .residual 2218913724493875 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 993 + code := 7181504760096844830 + certificate := .residual 3302014003546500 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1249 + code := 5993052807863823390 + certificate := .residual 4240219047359687 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5601 + code := 8373204691001729310 + certificate := .residual 332317275857392 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 738 + code := 3723449702902621470 + certificate := .residual 712048544259028 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 994 + code := 2858049375519206430 + certificate := .residual 3361692603540993 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1250 + code := 5418843855374085150 + certificate := .residual 988043092366290 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5602 + code := 8230703860873355550 + certificate := .residual 3300089858189832 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 739 + code := 4154099845969962270 + certificate := .residual 2218928760549427 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 995 + code := 3149291443405286430 + certificate := .residual 2702633194729776 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1251 + code := 5132295749192739870 + certificate := .residual 1985458739798690 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5603 + code := 8229582359013024030 + certificate := .residual 3300089858189833 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 740 + code := 5420597722209281310 + certificate := .residual 711896337513428 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 996 + code := 2851856819445918750 + certificate := .residual 4346975314200066 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1252 + code := 6463392430482877470 + certificate := .residual 348930032675952 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5604 + code := 8401831412735074590 + certificate := .residual 3917860810886402 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 741 + code := 6425447996138415390 + certificate := .residual 2773067585007667 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 997 + code := 3714296126629309470 + certificate := .residual 2122159506911923 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1253 + code := 4158110309638302750 + certificate := .residual 4347907321983241 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5605 + code := 4149307735173423390 + certificate := .residual 1549863436361298 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 742 + code := 3149240895737652510 + certificate := .residual 711911373568980 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 998 + code := 3140070685995002910 + certificate := .residual 3323205934277266 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1254 + code := 3725771342480501790 + certificate := .residual 4347907321983240 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5606 + code := 3862203258928554270 + certificate := .residual 3303381950818444 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 743 + code := 4154091169666786590 + certificate := .residual 2773082621063219 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 999 + code := 2851840327023160350 + certificate := .residual 4346855055058439 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1255 + code := 3870935739527162910 + certificate := .residual 333533078752496 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5607 + code := 4147064731452760350 + certificate := .residual 3105559389562567 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData29.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData29.lean new file mode 100644 index 000000000..0493eeb1d --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData29.lean @@ -0,0 +1,417 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 232–239 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets29 : Array (List PatternEntry) := #[ + [ + { origin := 232 + mask := 7205759405470515200 + certificate := .sharedThree 3 7 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 488 + mask := 9570149214610432 + certificate := .k4 1 [1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 744 + mask := 5945315291306131456 + certificate := .k4 4 [4, 7, 6] 1 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1768 + mask := 5629787302395926 + certificate := .k4 0 [0, 4, 6, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4072 + mask := 1310636285718749184 + certificate := .k4 1 [1, 7, 4, 6, 5] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4328 + mask := 5228960684246564888 + certificate := .k4 0 [0, 3, 4, 7, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4584 + mask := 74766881546506 + certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10984 + mask := 5809716671493514510 + certificate := .k4 0 [0, 1, 2, 5, 6, 7, 4, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 489 + mask := 9570150852356096 + certificate := .k4 1 [1, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2025 + mask := 39406498983510028 + certificate := .k4 0 [0, 2, 3, 6] 2 3 6 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 234 + mask := 7493989779944531968 + certificate := .sharedThree 1 7 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 746 + mask := 6052838191257354240 + certificate := .k4 2 [2, 4, 7] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1002 + mask := 1407654061735956 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1258 + mask := 10216663188766720 + certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1514 + mask := 23231478113558 + certificate := .k4 0 [0, 1, 4, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2282 + mask := 5229805070779416576 + certificate := .k4 2 [2, 6, 7, 3] 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4330 + mask := 5231010547297681408 + certificate := .k4 3 [3, 5, 7, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 747 + mask := 6052838723833298944 + certificate := .k4 2 [2, 7, 4] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1003 + mask := 1407666946637844 + certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1515 + mask := 23232098861084 + certificate := .k4 0 [0, 3, 4, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1771 + mask := 5629808777691164 + certificate := .k4 0 [0, 2, 6, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4331 + mask := 5233756715295467520 + certificate := .k4 1 [1, 5, 6, 7, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7403 + mask := 2594216321969368078 + certificate := .k4 0 [0, 2, 3, 7, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7915 + mask := 2814776913772830 + certificate := .k4 0 [0, 1, 2, 6, 4, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 236 + mask := 7493990226621104128 + certificate := .sharedThree 4 7 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 748 + mask := 6052838741004779520 + certificate := .k4 2 [2, 4, 7] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1260 + mask := 10216663658528768 + certificate := .k4 2 [2, 5, 3, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1772 + mask := 5629813072592924 + certificate := .k4 0 [0, 4, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2284 + mask := 5233182770796193792 + certificate := .k4 1 [1, 3, 7, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4332 + mask := 5234321864278933504 + certificate := .k4 2 [2, 5, 6, 7, 3] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6124 + mask := 72984386741522 + certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8684 + mask := 3458908004383534110 + certificate := .k4 0 [0, 2, 4, 7, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9964 + mask := 4800916368251912462 + certificate := .k4 0 [0, 1, 2, 7, 6, 5, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 493 + mask := 9660730068434944 + certificate := .k4 4 [4, 5, 6] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 749 + mask := 6052838741012119552 + certificate := .k4 2 [2, 7, 4] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1773 + mask := 5629825956511772 + certificate := .k4 0 [0, 2, 6, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2285 + mask := 5233182770836537344 + certificate := .k4 2 [2, 3, 7, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4333 + mask := 5235507137270016000 + certificate := .k4 1 [1, 5, 6, 7, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8685 + mask := 3458908004466830366 + certificate := .k4 0 [0, 3, 4, 7, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 238 + mask := 8070450532255268864 + certificate := .sharedThree 2 7 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 494 + mask := 9854922719781120 + certificate := .k4 1 [1, 5, 6] 0 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 750 + mask := 6089993437925343232 + certificate := .k4 4 [4, 7, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1262 + mask := 10221352156921856 + certificate := .k4 2 [2, 4, 6, 5] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1774 + mask := 5629830251413532 + certificate := .k4 0 [0, 4, 6, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2286 + mask := 5233183217707646976 + certificate := .k4 3 [3, 4, 7, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2542 + mask := 9896158505998 + certificate := .k4 0 [0, 2, 3, 1, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4334 + mask := 5235509336300060672 + certificate := .k4 2 [2, 5, 6, 7, 3] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8686 + mask := 3458908051628171550 + certificate := .k4 0 [0, 1, 2, 5, 7, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9966 + mask := 4800916381337944346 + certificate := .k4 0 [0, 1, 4, 7, 6, 5, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 239 + mask := 8070450534126977024 + certificate := .sharedThree 3 7 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 495 + mask := 9923092440703232 + certificate := .k4 1 [1, 6, 5] 0 1 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 751 + mask := 6093370295845912576 + certificate := .k4 2 [2, 7, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1007 + mask := 1688850972298240 + certificate := .k4 1 [1, 3, 6, 2] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1519 + mask := 23279007957020 + certificate := .k4 0 [0, 3, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2287 + mask := 5233745720716060672 + certificate := .k4 1 [1, 6, 7, 3] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2543 + mask := 9896160535822 + certificate := .k4 0 [0, 1, 3, 2, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4335 + mask := 5235522977109377024 + certificate := .k4 3 [3, 7, 6, 5, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4847 + mask := 149534145750028 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6127 + mask := 74768420400140 + certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets29 : Array (List HardEntry) := #[ + [ + { origin := 744 + code := 7689008565333484830 + certificate := .residual 3362519384732035 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1000 + code := 6172702974236912670 + certificate := .residual 739416805833664 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1256 + code := 4158101496566737950 + certificate := .residual 1561370693492400 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5608 + code := 3285751302718152990 + certificate := .residual 2182920559717970 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 745 + code := 5446497559543768350 + certificate := .residual 158131447544564 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1001 + code := 3871065734438415390 + certificate := .residual 739418688551872 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1257 + code := 3140514888198220830 + certificate := .residual 815713717961634 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5609 + code := 3858838753347559710 + certificate := .residual 2605289118851666 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 746 + code := 8263217235462677790 + certificate := .residual 3362504352289155 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1002 + code := 5159386478491560990 + certificate := .residual 174712139397489 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1258 + code := 3148677529412398110 + certificate := .residual 3302014003546498 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5610 + code := 6428199515367072030 + certificate := .residual 4161283991128770 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 747 + code := 6020706229672961310 + certificate := .residual 158116415101684 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1003 + code := 5168043070975994910 + certificate := .residual 1140736403799778 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1259 + code := 4148742861646556190 + certificate := .residual 2747106658840658 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5611 + code := 6141095039122202910 + certificate := .residual 2912165811693381 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 748 + code := 5446497533774357790 + certificate := .residual 158131447544561 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1004 + code := 5445930199528074270 + certificate := .residual 782651904673744 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1260 + code := 3718086147279252510 + certificate := .residual 4240235966133447 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5612 + code := 6425956511646408990 + certificate := .residual 2297906932433509 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 749 + code := 8697231858341602590 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 6 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1005 + code := 5159377661141806110 + certificate := .residual 307643554354420 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1261 + code := 3141634191068851230 + certificate := .residual 917676477322194 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5613 + code := 5564643082911801630 + certificate := .residual 3105903200847554 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 750 + code := 6455283802471752990 + certificate := .residual 2471465258043600 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1006 + code := 5159377652585425950 + certificate := .residual 307643554354417 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1262 + code := 3714160890768092190 + certificate := .residual 2113500852842962 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5614 + code := 6137730533541208350 + certificate := .residual 3528272008854210 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 751 + code := 7680143312584008990 + certificate := .residual 1166830687567330 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1007 + code := 5452051305548835870 + certificate := .residual 2437683589634610 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1263 + code := 3139951938278353950 + certificate := .residual 4350102050465036 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5615 + code := 3862196687628591390 + certificate := .residual 1996449391768610 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData30.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData30.lean new file mode 100644 index 000000000..761a5d40b --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData30.lean @@ -0,0 +1,397 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 240–247 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets30 : Array (List PatternEntry) := #[ + [ + { origin := 240 + mask := 593166 + certificate := .k4 0 [0, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 752 + mask := 6341068588064964608 + certificate := .k4 3 [3, 4, 7] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1776 + mask := 5910974516299030 + certificate := .k4 0 [0, 1, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2544 + mask := 9896160601102 + certificate := .k4 0 [0, 2, 3, 1, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4080 + mask := 1441152447988432924 + certificate := .k4 0 [0, 2, 3, 7, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5104 + mask := 5066828754275358 + certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 241 + mask := 658702 + certificate := .k4 0 [0, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 753 + mask := 6341069103461040128 + certificate := .k4 3 [3, 7, 4] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1009 + mask := 1688851001789440 + certificate := .k4 1 [1, 2, 6, 3] 1 2 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1521 + mask := 26539441782810 + certificate := .k4 0 [0, 4, 5, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1777 + mask := 5910974600577052 + certificate := .k4 0 [0, 3, 2, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2801 + mask := 23244364186902 + certificate := .k4 0 [0, 1, 2, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5105 + mask := 5066828754340894 + certificate := .k4 0 [0, 4, 6, 1, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9969 + mask := 4800925326916157718 + certificate := .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 498 + mask := 10133099168031744 + certificate := .k4 1 [1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 754 + mask := 6341069135673294848 + certificate := .k4 3 [3, 4, 7] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2546 + mask := 9896175283214 + certificate := .k4 0 [0, 2, 1, 3, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4082 + mask := 1441152464967958556 + certificate := .k4 0 [0, 3, 2, 7, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8178 + mask := 9658251872914462 + certificate := .k4 0 [0, 2, 4, 5, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 243 + mask := 723982 + certificate := .k4 0 [0, 2, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 755 + mask := 6341069137552343040 + certificate := .k4 3 [3, 7, 4] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1779 + mask := 5911253683815702 + certificate := .k4 0 [0, 1, 4, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2291 + mask := 5237686817066582016 + certificate := .k4 3 [3, 7, 6, 4] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2547 + mask := 9896177249542 + certificate := .k4 0 [0, 1, 2, 3, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3315 + mask := 9361242003170566 + certificate := .k4 0 [0, 1, 2, 5, 6] 0 1 2 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5107 + mask := 5066828837571614 + certificate := .k4 0 [0, 3, 4, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 9971 + mask := 4800925344146161946 + certificate := .k4 0 [0, 1, 3, 7, 6, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 756 + mask := 6379349731163766784 + certificate := .k4 4 [4, 7, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1268 + mask := 10225870458322944 + certificate := .k4 2 [2, 5, 4, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1524 + mask := 26569254895642 + certificate := .k4 0 [0, 3, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2292 + mask := 5237783127144792064 + certificate := .k4 3 [3, 7, 6, 5] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4084 + mask := 1441152482348105756 + certificate := .k4 0 [0, 3, 4, 7, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5108 + mask := 5066828854348830 + certificate := .k4 0 [0, 4, 6, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8692 + mask := 3458913532291064846 + certificate := .k4 0 [0, 3, 4, 7, 5, 1] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 501 + mask := 10210064975553536 + certificate := .k4 1 [1, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 757 + mask := 6381600675473653760 + certificate := .k4 3 [3, 7, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1525 + mask := 26573533085722 + certificate := .k4 0 [0, 4, 5, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2293 + mask := 5271957047779262464 + certificate := .k4 3 [3, 6, 7, 5] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7157 + mask := 13584745336284182 + certificate := .k4 0 [0, 4, 6, 5, 1, 2] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 502 + mask := 10216663723016192 + certificate := .k4 3 [3, 5, 6] 2 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 758 + mask := 6999087501654622208 + certificate := .k4 5 [5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2038 + mask := 41095909240520978 + certificate := .k4 0 [0, 1, 4, 6] 1 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2294 + mask := 5305672471796514816 + certificate := .k4 3 [3, 5, 7, 6] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4342 + mask := 5802985736688893952 + certificate := .k4 3 [3, 4, 5, 7, 6] 3 4 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 503 + mask := 10225887635046400 + certificate := .k4 4 [4, 5, 6] 2 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 759 + mask := 7026109099418845184 + certificate := .k4 5 [5, 7, 6] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1527 + mask := 26582156574748 + certificate := .k4 0 [0, 4, 5, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1783 + mask := 5911301213650972 + certificate := .k4 0 [0, 3, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5111 + mask := 5066841640225806 + certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8439 + mask := 13583645823020062 + certificate := .k4 0 [0, 2, 4, 6, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets30 : Array (List HardEntry) := #[ + [ + { origin := 752 + code := 4147201482135594270 + certificate := .residual 1252425101647666 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1008 + code := 5163820946576993310 + certificate := .residual 4346855055058437 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1264 + code := 6427634641840204830 + certificate := .residual 2903612388423490 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5616 + code := 3718088070886252830 + certificate := .residual 1379490129108002 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 753 + code := 8230831648747971870 + certificate := .residual 3746621203614352 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1009 + code := 2851861217024240670 + certificate := .residual 1141835661672162 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1265 + code := 5996977927472901150 + certificate := .residual 2316458848637029 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5617 + code := 8227330533664416030 + certificate := .residual 1077587367712688 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 754 + code := 8661485077465294110 + certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 3 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1010 + code := 2860517809508674590 + certificate := .residual 173612881525105 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1266 + code := 5420525971262499870 + certificate := .residual 3607387453904194 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5618 + code := 6461703848537022750 + certificate := .residual 4411539413806338 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 755 + code := 3714723978626622750 + certificate := .residual 712048544259025 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1011 + code := 3149304534265850910 + certificate := .residual 782514723145680 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1267 + code := 5993052670961740830 + certificate := .residual 4240459566044354 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5619 + code := 7825380016833880350 + certificate := .residual 3918958175202562 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 756 + code := 8694980340888986910 + certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 6 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1012 + code := 2858265988438256670 + certificate := .residual 307506372826356 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1268 + code := 5418843718472002590 + certificate := .residual 4108415090800837 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5364 + code := 6168179608612757790 + certificate := .residual 943464467575728 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5620 + code := 5600379407741149470 + certificate := .residual 278422507013616 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 757 + code := 6453032276462757150 + certificate := .residual 1978884048742608 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1013 + code := 3140075083573324830 + certificate := .residual 2446477549853234 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1269 + code := 2851721579306511390 + certificate := .residual 1986420816143010 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5365 + code := 6455283811053461790 + certificate := .residual 943466375984048 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5621 + code := 8686682433507221790 + certificate := .residual 269643505780208 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 758 + code := 6020706229438997790 + certificate := .residual 158116415101681 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1014 + code := 2851844724601482270 + certificate := .residual 4408427709883909 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1270 + code := 6032720999124986910 + certificate := .residual 1489957486108339 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5366 + code := 6173477856109912350 + certificate := .residual 4411674705290498 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5622 + code := 3867071920391512350 + certificate := .residual 1006138292344752 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 759 + code := 8254352418954896670 + certificate := .residual 1158036741799394 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1015 + code := 2858265979881876510 + certificate := .residual 307506372826353 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1271 + code := 3713174639592238110 + certificate := .residual 1560309065096883 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5367 + code := 7824258500651639070 + certificate := .residual 3919093466686722 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5623 + code := 4155289076868768030 + certificate := .residual 3361797830289928 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData31.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData31.lean new file mode 100644 index 000000000..2a26a6ab8 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData31.lean @@ -0,0 +1,473 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes + +/-! # Coverage certificate data, buckets 248–255 -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Generated monotone-obstruction entries for this hash-bucket group. -/ +def patternBuckets31 : Array (List PatternEntry) := #[ + [ + { origin := 248 + mask := 51052558 + certificate := .k4 0 [0, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 760 + mask := 7034975561185230848 + certificate := .k4 5 [5, 6, 7] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4088 + mask := 1441171276841418772 + certificate := .k4 0 [0, 2, 7, 4, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4344 + mask := 5803170454122266648 + certificate := .k4 0 [0, 3, 4, 7, 6] 0 3 4 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 249 + mask := 83889422 + certificate := .k4 0 [0, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 761 + mask := 7035045929929408512 + certificate := .k4 5 [5, 7, 6] 0 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1529 + mask := 27488347553820 + certificate := .k4 0 [0, 2, 3, 5] 0 2 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1785 + mask := 6755688579596314 + certificate := .k4 0 [0, 4, 6, 3] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2041 + mask := 41658588620571648 + certificate := .k4 1 [1, 2, 4, 6] 1 2 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2297 + mask := 5372795191126130688 + certificate := .k4 3 [3, 7, 6, 4] 1 3 4 7 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 250 + mask := 100666638 + certificate := .k4 0 [0, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 762 + mask := 7061716783484428288 + certificate := .k4 1 [1, 5, 7] 1 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1018 + mask := 1761417629950976 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1274 + mask := 10770815910028288 + certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1786 + mask := 6755692924895260 + certificate := .k4 0 [0, 3, 6, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2042 + mask := 41658850617655316 + certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2554 + mask := 9896211456262 + certificate := .k4 0 [0, 1, 2, 3, 5] 0 1 2 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2810 + mask := 26535130040602 + certificate := .k4 0 [0, 1, 3, 5, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 3578 + mask := 10221481002951680 + certificate := .k4 1 [1, 2, 6, 5, 4] 1 4 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4090 + mask := 1441178460777086976 + certificate := .k4 2 [2, 4, 7, 5, 3] 2 3 4 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5114 + mask := 5066875998912798 + certificate := .k4 0 [0, 1, 2, 6, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5626 + mask := 14074028014839058 + certificate := .k4 0 [0, 1, 4, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5882 + mask := 11008556016670 + certificate := .k4 0 [0, 3, 4, 5, 1, 2] 0 1 2 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 7418 + mask := 2882446700193590286 + certificate := .k4 0 [0, 2, 3, 7, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8442 + mask := 13583645906316318 + certificate := .k4 0 [0, 3, 4, 6, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 10746 + mask := 5809716641126755358 + certificate := .k4 0 [0, 2, 4, 7, 6, 5, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 251 + mask := 101384206 + certificate := .k4 0 [0, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 763 + mask := 7071214364925157376 + certificate := .k4 1 [1, 6, 7] 1 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1019 + mask := 1761417634014208 + certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1531 + mask := 27488663699484 + certificate := .k4 0 [0, 2, 3, 5] 0 3 4 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2043 + mask := 41658867796475924 + certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5115 + mask := 5066875999895838 + certificate := .k4 0 [0, 1, 6, 4, 2] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6907 + mask := 10696050746731786 + certificate := .k4 0 [0, 1, 3, 2, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 252 + mask := 117441806 + certificate := .k4 0 [0, 1, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 508 + mask := 10696049117258752 + certificate := .k4 1 [1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 764 + mask := 7205834170598162432 + certificate := .k4 2 [2, 5, 7] 2 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1020 + mask := 1761417634128896 + certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1276 + mask := 11269995292026880 + certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1788 + mask := 6755718392709146 + certificate := .k4 0 [0, 3, 6, 4] 0 1 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2044 + mask := 41659125491367956 + certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2300 + mask := 5512968896103105536 + certificate := .k4 1 [1, 6, 7, 3] 1 2 3 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6652 + mask := 6768896143654912 + certificate := .k4 2 [2, 5, 3, 6, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8188 + mask := 9658299117551902 + certificate := .k4 0 [0, 1, 2, 6, 5, 4] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8700 + mask := 3458980572154717458 + certificate := .k4 0 [0, 1, 4, 2, 7, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 253 + mask := 117443598 + certificate := .k4 0 [0, 3, 1] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 509 + mask := 10696049121321984 + certificate := .k4 1 [1, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2045 + mask := 41659142670188564 + certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 6653 + mask := 6768913122721792 + certificate := .k4 2 [2, 5, 3, 6, 4] 1 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 8445 + mask := 13583658708905230 + certificate := .k4 0 [0, 1, 5, 6, 4, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 254 + mask := 117637134 + certificate := .k4 0 [0, 2, 3] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 510 + mask := 10696049121436672 + certificate := .k4 1 [1, 2, 6] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 766 + mask := 7494068948539801600 + certificate := .k4 3 [3, 5, 7] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1022 + mask := 1763616653206528 + certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1534 + mask := 27629524625690 + certificate := .k4 0 [0, 1, 4, 5] 0 1 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2046 + mask := 42784754017239064 + certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 4094 + mask := 1445937797188878356 + certificate := .k4 0 [0, 2, 7, 4, 6] 0 2 4 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 11006 + mask := 6955968109859048718 + certificate := .k4 0 [0, 1, 3, 6, 7, 5, 4, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 255 + mask := 118095886 + certificate := .k4 0 [0, 3, 2] 0 1 2 3 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 511 + mask := 10696049121452032 + certificate := .k4 1 [1, 6, 2] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 767 + mask := 7505248782771027968 + certificate := .k4 3 [3, 6, 7] 3 5 6 7 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1023 + mask := 1763616657269760 + certificate := .k4 1 [1, 6, 2, 5] 1 2 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1279 + mask := 11269995828895744 + certificate := .k4 1 [1, 5, 3, 6] 1 3 5 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1535 + mask := 27629527302172 + certificate := .k4 0 [0, 2, 4, 5] 0 2 3 5 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1791 + mask := 6755731294388252 + certificate := .k4 0 [0, 4, 6, 3] 0 2 3 4 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 2047 + mask := 42784788108541976 + certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +/-- Generated exact-table entries for this hash-bucket group. -/ +def hardBuckets31 : Array (List HardEntry) := #[ + [ + { origin := 760 + code := 4149444092129076510 + certificate := .residual 1253507433520946 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1016 + code := 6459803068812979230 + certificate := .residual 809648111079360 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1272 + code := 6166509996778613790 + certificate := .residual 3916658220028288 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5368 + code := 5599269331305488670 + certificate := .residual 4410712632558850 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5624 + code := 3290611142553166110 + certificate := .residual 3361797830289929 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 761 + code := 7654379448547042590 + certificate := .residual 3746484032924304 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1017 + code := 4158165829014481950 + certificate := .residual 809649993797568 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1273 + code := 6164258179986385950 + certificate := .residual 2317466015335520 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5369 + code := 6453032276488085790 + certificate := .residual 952245289309104 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5625 + code := 7794492519778279710 + certificate := .residual 261950678876656 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 762 + code := 3140515171461653790 + certificate := .residual 711911373568977 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1018 + code := 5420581203999943710 + certificate := .residual 3271614728478994 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1274 + code := 6163132297259412510 + certificate := .residual 3581804281346598 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5370 + code := 8398467607022526750 + certificate := .residual 3918131393955074 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5626 + code := 3294477184635429150 + certificate := .residual 3301172189950210 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 763 + code := 8659233020960728350 + certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 3 6 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1019 + code := 3145018745552071710 + certificate := .residual 3764195941392658 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1275 + code := 5420594007302630430 + certificate := .residual 3794715475545351 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5371 + code := 5591718573949313310 + certificate := .residual 952243380900784 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5627 + code := 4149308025956655390 + certificate := .residual 3035328084166343 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 764 + code := 7678023588938016030 + certificate := .residual 4409615268393217 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1020 + code := 8190590077489474590 + certificate := .residual 3300119923025414 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1276 + code := 3714161023375272990 + certificate := .residual 2317466015335521 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5372 + code := 6164801900303212830 + certificate := .residual 4408547969025545 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5628 + code := 3862203549711786270 + certificate := .residual 2745870245105234 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 765 + code := 5446484326750905630 + certificate := .residual 113169553246065 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1021 + code := 8192689607827614750 + certificate := .residual 1338878243561043 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1277 + code := 5420526103869680670 + certificate := .residual 347261441049714 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5373 + code := 5590592947813474590 + certificate := .residual 4408547969025544 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5629 + code := 4147065022235992350 + certificate := .residual 1549726265671250 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 766 + code := 3138398451255502110 + certificate := .residual 596611038423010 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1022 + code := 8189173906731002910 + certificate := .residual 307643554354419 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1278 + code := 3871005833376721950 + certificate := .residual 3362504352289152 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5374 + code := 6173458492787646750 + certificate := .residual 208057789389296 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5630 + code := 3285751593501384990 + certificate := .residual 3302419878086796 + valid := Certificate.valid_of_validB (by decide) } + ], + [ + { origin := 767 + code := 3138395165605520670 + certificate := .residual 4410727664945285 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1023 + code := 8192832944308055070 + certificate := .residual 3792701135939078 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 1279 + code := 3870997020305157150 + certificate := .residual 2317586278089824 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5375 + code := 6164801626499047710 + certificate := .residual 3915966730421768 + valid := Certificate.valid_of_validB (by decide) }, + { origin := 5631 + code := 3284630091641053470 + certificate := .residual 2042476604154450 + valid := Certificate.valid_of_validB (by decide) } + ] +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean b/LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean new file mode 100644 index 000000000..057400f29 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean @@ -0,0 +1,55 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Certificates + +/-! # Erdős 97 convex-octagon formalization: Coverage Data Types -/ + +namespace Erdos97Octagon.RawIncidence + +/-- A monotone obstruction pattern paired with its checked witness. -/ +structure PatternEntry where + /-- Identifier of the source classifier record. -/ + origin : ℕ + /-- Packed incidences required by this monotone obstruction. -/ + mask : UInt64 + /-- The obstruction witness attached to the mask. -/ + certificate : PrefixCertificate + /-- Kernel-checked validity of the witness on the decoded mask. -/ + valid : certificate.toCertificate.Valid (packedIncidence mask) + +/-- An exact complete table paired with its checked witness. -/ +structure HardEntry where + /-- Identifier of the source classifier record. -/ + origin : ℕ + /-- Packed code for the complete incidence table. -/ + code : UInt64 + /-- The obstruction witness attached to the exact table. -/ + certificate : Certificate + /-- Kernel-checked validity of the witness on the decoded table. -/ + valid : certificate.Valid (packedIncidence code) + +/-- Validate a pattern witness against precisely its required incidences. -/ +def PatternEntry.validB (entry : PatternEntry) : Bool := + entry.certificate.toCertificate.validB (packedIncidence entry.mask) + +/-- Validate an exact-table witness against its decoded incidence table. -/ +def HardEntry.validB (entry : HardEntry) : Bool := + entry.certificate.validB (packedIncidence entry.code) + +/-- A successful pattern audit supplies its mathematical witness. -/ +theorem PatternEntry.valid_of_validB + {entry : PatternEntry} (hvalid : entry.validB = true) : + entry.certificate.toCertificate.Valid (packedIncidence entry.mask) := + Certificate.valid_of_validB hvalid + +/-- A successful exact-table audit supplies its mathematical witness. -/ +theorem HardEntry.valid_of_validB + {entry : HardEntry} (hvalid : entry.validB = true) : + entry.certificate.Valid (packedIncidence entry.code) := + Certificate.valid_of_validB hvalid + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean b/LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean new file mode 100644 index 000000000..8bc594fcc --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean @@ -0,0 +1,488 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageData +import LeanPool.Erdos97ConvexOctagon.LRAT.Semantics + +/-! +# Exhaustive coverage formula + +This module gives mathematical meaning to every clause identifier used by the +checked LRAT certificates. The formula describes normalized balanced +four-out incidence tables, pair sparsity, and the audited geometric +obstructions. +-/ + +namespace Erdos97Octagon + +open LRAT + +namespace RawIncidence + +/-- Decode an eight-bit row mask as a set of octagon vertices. -/ +def packedRow (mask : UInt64) : Finset Vertex := + Finset.univ.filter fun target => bitSetB mask target.val + +@[simp] theorem mem_packedRow (mask : UInt64) (target : Vertex) : + target ∈ packedRow mask ↔ bitSetB mask target.val = true := by + simp [packedRow] + +/-- Five-, two-, and three-subsets in the lexicographic order used by the generator. -/ +def fiveSubsets : List (List Vertex) := + ((List.finRange 8).sublistsLen 5).reverse + +/-- Vertex pairs in the lexicographic order used by the generator. -/ +def vertexPairs : List (List Vertex) := + ((List.finRange 8).sublistsLen 2).reverse + +/-- Vertex triples in the lexicographic order used by the generator. -/ +def vertexTriples : List (List Vertex) := + ((List.finRange 8).sublistsLen 3).reverse + +private def pairAt (index : ℕ) : Vertex × Vertex := + match vertexPairs.getD index [] with + | [a, b] => (a, b) + | _ => (0, 0) + +/-- Semantic tags for clauses shared by every branch certificate. -/ +inductive BaseClauseTag where + | diagonal (vertex : Vertex) + | normalized (target : Vertex) + | rowAtMost (centre : Vertex) (subset : List Vertex) + | rowAtLeast (centre : Vertex) (subset : List Vertex) + | columnAtMost (target : Vertex) (centres : List Vertex) + | columnAtLeast (target : Vertex) (centres : List Vertex) + | pairSparse (a b : Vertex) (centres : List Vertex) + | pattern (origin : ℕ) + | hard (origin : ℕ) + +/-- A shared clause or one of the sixteen row-fixing clauses for a branch. -/ +inductive ClauseTag where + | base (tag : BaseClauseTag) + | branchOne (target : Vertex) (selected : Bool) + | branchTwo (target : Vertex) (selected : Bool) + +private def patternMask (origin : ℕ) : UInt64 := + match patternEntry origin with + | some entry => entry.mask + | none => 0 + +private def hardCode (origin : ℕ) : UInt64 := + match hardEntry origin with + | some entry => entry.code + | none => 0 + +private def unitClause (centre target : Vertex) (selected : Bool) : Clause := + [if selected then .positive (varIndex centre target) else .negative (varIndex centre target)] + +/-- The literal list represented by a shared semantic clause tag. -/ +def BaseClauseTag.toClause : BaseClauseTag → Clause + | .diagonal vertex => [.negative (varIndex vertex vertex)] + | .normalized target => unitClause 0 target (bitSetB 30 target.val) + | .rowAtMost centre subset => subset.map fun target => .negative (varIndex centre target) + | .rowAtLeast centre subset => subset.map fun target => .positive (varIndex centre target) + | .columnAtMost target centres => centres.map fun centre => .negative (varIndex centre target) + | .columnAtLeast target centres => centres.map fun centre => .positive (varIndex centre target) + | .pairSparse a b centres => centres.flatMap fun centre => + [.negative (varIndex centre a), .negative (varIndex centre b)] + | .pattern origin => + ((List.range 64).filter fun index => bitSetB (patternMask origin) index).map .negative + | .hard origin => (List.range 64).map fun index => + if bitSetB (hardCode origin) index then .negative index else .positive index + +/-- The literal list represented by any semantic clause tag. -/ +def ClauseTag.toClause : ClauseTag → Clause + | .base tag => tag.toClause + | .branchOne target selected => unitClause 1 target selected + | .branchTwo target selected => unitClause 2 target selected + +/-- Structural and lookup conditions needed for a shared tag to be meaningful. -/ +def BaseClauseTag.Valid : BaseClauseTag → Prop + | .rowAtMost _ subset | .rowAtLeast _ subset | + .columnAtMost _ subset | .columnAtLeast _ subset => + subset.Nodup ∧ subset.length = 5 + | .pairSparse a b centres => a ≠ b ∧ centres.Nodup ∧ centres.length = 3 + | .pattern origin => (patternEntry origin).isSome = true + | .hard origin => (hardEntry origin).isSome = true + | _ => True + +/-- Structural and lookup conditions needed for any tag to be meaningful. -/ +def ClauseTag.Valid : ClauseTag → Prop + | .base tag => tag.Valid + | _ => True + +/-- The two branch-unit tags agree with the two rows fixed for this SAT branch. -/ +def ClauseTag.BranchValid (Q : OctagonIncidence) : ClauseTag → Prop + | .branchOne target selected => selected = true ↔ target ∈ Q.targets 1 + | .branchTwo target selected => selected = true ↔ target ∈ Q.targets 2 + | _ => True + +instance (tag : BaseClauseTag) : Decidable tag.Valid := by + cases tag <;> simp only [BaseClauseTag.Valid] <;> infer_instance + +instance (tag : ClauseTag) : Decidable tag.Valid := by + cases tag <;> simp only [ClauseTag.Valid] <;> infer_instance + +/-- Boolean checker for the structural validity of a semantic clause tag. -/ +def ClauseTag.validB (tag : ClauseTag) : Bool := decide tag.Valid + +theorem ClauseTag.valid_of_validB {tag : ClauseTag} (h : tag.validB = true) : tag.Valid := + of_decide_eq_true h + +private def branchStart : ℕ := 20659 +private def branchEnd : ℕ := branchStart + 16 + +/-- Decode a generator clause identifier. -/ +def tagOfRef (rowOne rowTwo : UInt64) (reference : ℕ) : ClauseTag := + if reference < 8 then + .base (.diagonal (Fin.ofNat 8 reference)) + else if reference < 16 then + .base (.normalized (Fin.ofNat 8 (reference - 8))) + else if reference < 912 then + let offset := reference - 16 + let centre := Fin.ofNat 8 (offset / 112) + let subset := fiveSubsets.getD ((offset % 112) / 2) [] + .base (if offset % 2 = 0 then .rowAtMost centre subset else .rowAtLeast centre subset) + else if reference < 1808 then + let offset := reference - 912 + let target := Fin.ofNat 8 (offset / 112) + let centres := fiveSubsets.getD ((offset % 112) / 2) [] + .base (if offset % 2 = 0 then .columnAtMost target centres else .columnAtLeast target centres) + else if reference < 3376 then + let offset := reference - 1808 + let pair := pairAt (offset / 56) + .base (.pairSparse pair.1 pair.2 (vertexTriples.getD (offset % 56) [])) + else if reference < 14419 then + .base (.pattern (reference - 3376)) + else if reference < branchStart then + .base (.hard (reference - 14419)) + else if reference < branchStart + 8 then + let target := Fin.ofNat 8 (reference - branchStart) + .branchOne target (bitSetB rowOne target.val) + else + let target := Fin.ofNat 8 (reference - branchStart - 8) + .branchTwo target (bitSetB rowTwo target.val) + +private theorem tagOfRef_branchValid + (Q : OctagonIncidence) {rowOne rowTwo : UInt64} + (hrowOne : Q.targets 1 = packedRow rowOne) + (hrowTwo : Q.targets 2 = packedRow rowTwo) (reference : ℕ) : + (tagOfRef rowOne rowTwo reference).BranchValid Q := by + unfold tagOfRef + split + · trivial + split + · trivial + split + · trivial + split + · trivial + split + · trivial + split + · trivial + split + · trivial + split + · dsimp only [ClauseTag.BranchValid] + rw [hrowOne, mem_packedRow] + · dsimp only [ClauseTag.BranchValid] + rw [hrowTwo, mem_packedRow] + +/-- A shared-clause reference has no branch-specific semantic condition. -/ +theorem tagOfRef_baseBranchValid + (Q : OctagonIncidence) {reference : ℕ} (hreference : reference < branchStart) : + (tagOfRef 0 0 reference).BranchValid Q := by + unfold tagOfRef + split <;> try trivial + split <;> try trivial + split <;> try trivial + split <;> try trivial + split <;> try trivial + split <;> try trivial + +/-- Check that a clause reference is in range and has an audited semantic payload. -/ +def coveredB (rowOne rowTwo : UInt64) (reference : ℕ) : Bool := + decide (reference < branchEnd) && (tagOfRef rowOne rowTwo reference).validB + +/-- The formula encoded by a branch's ordered list of clause references. -/ +def coverageFormula (rowOne rowTwo : UInt64) (references : List ℕ) : Formula := + references.map fun reference => (tagOfRef rowOne rowTwo reference).toClause + +private theorem satisfies_of_not_all_neg + (valuation : Valuation) (clause : Clause) + (h : ¬ List.Forall valuation.falsifies clause) : + valuation.satisfies clause := by + induction clause with + | nil => simp at h + | cons literal clause ih => + intro hliteral + apply ih + intro hrest + apply h + simpa using And.intro hliteral hrest + +private theorem no_five_inside_card_four + {selected : Finset Vertex} (hcard : selected.card = 4) + {vertices : List Vertex} (hnodup : vertices.Nodup) (hlength : vertices.length = 5) + (hsubset : vertices.toFinset ⊆ selected) : False := by + have hfive : vertices.toFinset.card = 5 := by + rw [List.toFinset_card_of_nodup hnodup, hlength] + have hle := Finset.card_le_card hsubset + rw [hfive, hcard] at hle + omega + +private theorem no_card_four_avoids_five + {selected : Finset Vertex} (hcard : selected.card = 4) + {vertices : List Vertex} (hnodup : vertices.Nodup) (hlength : vertices.length = 5) + (havoid : ∀ vertex ∈ vertices, vertex ∉ selected) : False := by + have hfive : vertices.toFinset.card = 5 := by + rw [List.toFinset_card_of_nodup hnodup, hlength] + have hsubset : selected ⊆ Finset.univ \ vertices.toFinset := by + intro vertex hselected + simp only [Finset.mem_sdiff, Finset.mem_univ, true_and, List.mem_toFinset] + exact fun hvertex => havoid vertex hvertex hselected + have hcomplement : (Finset.univ \ vertices.toFinset).card = 3 := by + rw [Finset.card_sdiff_of_subset (Finset.subset_univ _), Finset.card_univ, + Fintype.card_fin, hfive] + have hle := Finset.card_le_card hsubset + rw [hcard, hcomplement] at hle + omega + +private def predecessors (Q : OctagonIncidence) (target : Vertex) : Finset Vertex := + Finset.univ.filter fun centre => target ∈ Q.targets centre + +private theorem card_predecessors (Q : OctagonIncidence) (target : Vertex) : + (predecessors Q target).card = Q.indegree target := by + unfold predecessors OctagonIncidence.indegree + rw [Finset.sum_boole] + norm_num + +private def jointPredecessors + (Q : OctagonIncidence) (a b : Vertex) : Finset Vertex := + Finset.univ.filter fun centre => a ∈ Q.targets centre ∧ b ∈ Q.targets centre + +private theorem card_jointPredecessors (Q : OctagonIncidence) (a b : Vertex) : + (jointPredecessors Q a b).card = Q.pairMultiplicity a b := by + unfold jointPredecessors OctagonIncidence.pairMultiplicity + rw [Finset.sum_boole] + norm_num + +private theorem unitClause_satisfied + (R : RawIncidence) (centre target : Vertex) (selected : Bool) + (hselected : selected = true ↔ target ∈ R centre) : + (valuation R).satisfies (unitClause centre target selected) := by + cases selected <;> + simpa [unitClause, LRAT.Valuation.satisfies, LRAT.Valuation.falsifies, + valuation_variable] using hselected + +private theorem standardTargets_bit (target : Vertex) : + bitSetB 30 target.val = true ↔ target ∈ standardTargets := by + fin_cases target <;> decide + +/-- Every audited semantic clause is satisfied by the corresponding geometric incidence table. -/ +theorem BaseClauseTag.satisfies + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) + (hN : Q.Normalized) (hSparse : Q.PairSparse) (hBalanced : Q.Balanced) + (tag : BaseClauseTag) (hvalid : tag.Valid) : + (valuation Q.targets).satisfies tag.toClause := by + cases tag with + | diagonal vertex => + simp only [BaseClauseTag.toClause, LRAT.Valuation.satisfies, + LRAT.Valuation.falsifies] + intro hselected + exact Q.centre_not_mem vertex ((valuation_variable _ _ _).mp hselected) + | normalized target => + apply unitClause_satisfied + rw [hN] + exact standardTargets_bit target + | rowAtMost centre subset => + simp only [BaseClauseTag.Valid] at hvalid + apply satisfies_of_not_all_neg + intro hall + rw [List.forall_iff_forall_mem] at hall + apply no_five_inside_card_four (Q.card_targets centre) hvalid.1 hvalid.2 + intro target htarget + have htargetList : target ∈ subset := by simpa using htarget + apply (valuation_variable Q.targets centre target).mp + exact hall (.negative (varIndex centre target)) + (List.mem_map.mpr ⟨target, htargetList, rfl⟩) + | rowAtLeast centre subset => + simp only [BaseClauseTag.Valid] at hvalid + apply satisfies_of_not_all_neg + intro hall + rw [List.forall_iff_forall_mem] at hall + apply no_card_four_avoids_five (Q.card_targets centre) hvalid.1 hvalid.2 + intro target htarget hselected + exact (hall (.positive (varIndex centre target)) + (List.mem_map.mpr ⟨target, htarget, rfl⟩)) + ((valuation_variable Q.targets centre target).mpr hselected) + | columnAtMost target centres => + simp only [BaseClauseTag.Valid] at hvalid + apply satisfies_of_not_all_neg + intro hall + rw [List.forall_iff_forall_mem] at hall + have hcard : (predecessors Q target).card = 4 := by + rw [card_predecessors, hBalanced target] + apply no_five_inside_card_four hcard hvalid.1 hvalid.2 + intro centre hcentre + have hcentreList : centre ∈ centres := by simpa using hcentre + rw [predecessors, Finset.mem_filter] + exact ⟨Finset.mem_univ _, (valuation_variable Q.targets centre target).mp + (hall (.negative (varIndex centre target)) + (List.mem_map.mpr ⟨centre, hcentreList, rfl⟩))⟩ + | columnAtLeast target centres => + simp only [BaseClauseTag.Valid] at hvalid + apply satisfies_of_not_all_neg + intro hall + rw [List.forall_iff_forall_mem] at hall + have hcard : (predecessors Q target).card = 4 := by + rw [card_predecessors, hBalanced target] + apply no_card_four_avoids_five hcard hvalid.1 hvalid.2 + intro centre hcentre hselected + have htarget : target ∈ Q.targets centre := + (Finset.mem_filter.mp (show centre ∈ Finset.univ.filter + (fun centre => target ∈ Q.targets centre) from hselected)).2 + exact (hall (.positive (varIndex centre target)) + (List.mem_map.mpr ⟨centre, hcentre, rfl⟩)) + ((valuation_variable Q.targets centre target).mpr htarget) + | pairSparse a b centres => + simp only [BaseClauseTag.Valid] at hvalid + apply satisfies_of_not_all_neg + intro hall + rw [List.forall_iff_forall_mem] at hall + have hsubset : centres.toFinset ⊆ jointPredecessors Q a b := by + intro centre hcentre + have hcentreList : centre ∈ centres := by simpa using hcentre + rw [jointPredecessors, Finset.mem_filter] + refine ⟨Finset.mem_univ _, ?_, ?_⟩ + · apply (valuation_variable Q.targets centre a).mp + apply hall (.negative (varIndex centre a)) + change LRAT.Literal.negative (varIndex centre a) ∈ centres.flatMap (fun centre => + [LRAT.Literal.negative (varIndex centre a), + LRAT.Literal.negative (varIndex centre b)]) + rw [List.mem_flatMap] + exact ⟨centre, hcentreList, by simp⟩ + · apply (valuation_variable Q.targets centre b).mp + apply hall (.negative (varIndex centre b)) + change LRAT.Literal.negative (varIndex centre b) ∈ centres.flatMap (fun centre => + [LRAT.Literal.negative (varIndex centre a), + LRAT.Literal.negative (varIndex centre b)]) + rw [List.mem_flatMap] + exact ⟨centre, hcentreList, by simp⟩ + have hthree : centres.toFinset.card = 3 := by + rw [List.toFinset_card_of_nodup hvalid.2.1, hvalid.2.2] + have hle := Finset.card_le_card hsubset + have hsparse : (jointPredecessors Q a b).card ≤ 2 := by + rw [card_jointPredecessors] + exact hSparse hvalid.1 + rw [hthree] at hle + omega + | pattern origin => + simp only [BaseClauseTag.Valid] at hvalid + cases hfind : patternEntry origin with + | none => simp [hfind] at hvalid + | some entry => + have hmask : patternMask origin = entry.mask := by simp [patternMask, hfind] + apply satisfies_of_not_all_neg + intro hall + rw [List.forall_iff_forall_mem] at hall + have hextends : Extends (packedIncidence entry.mask) Q.targets := by + intro centre target hselected + apply (valuation_variable Q.targets centre target).mp + apply hall (.negative (varIndex centre target)) + simp only [BaseClauseTag.toClause, hmask, List.mem_map] + refine ⟨varIndex centre target, ?_, rfl⟩ + rw [List.mem_filter] + refine ⟨List.mem_range.mpr ?_, ?_⟩ + · unfold varIndex + omega + · simpa [packedSelectsB] using + (mem_packedIncidence entry.mask centre target).mp hselected + exact Certificate.not_convex_realises entry.certificate.toCertificate + (entry.certificate.valid_mono hextends entry.valid) hC hR + | hard origin => + simp only [BaseClauseTag.Valid] at hvalid + cases hfind : hardEntry origin with + | none => simp [hfind] at hvalid + | some entry => + have hcode : hardCode origin = entry.code := by simp [hardCode, hfind] + apply satisfies_of_not_all_neg + intro hall + rw [List.forall_iff_forall_mem] at hall + have htargets : Q.targets = packedIncidence entry.code := by + funext centre + ext target + rw [mem_packedIncidence] + unfold packedSelectsB + cases hbit : bitSetB entry.code (varIndex centre target) with + | false => + simp only [Bool.false_eq_true, iff_false] + intro hselected + have hfalsified := hall (.positive (varIndex centre target)) (by + simp only [BaseClauseTag.toClause, hcode, List.mem_map] + refine ⟨varIndex centre target, List.mem_range.mpr ?_, ?_⟩ + · unfold varIndex + omega + · simp [hbit]) + exact hfalsified ((valuation_variable Q.targets centre target).mpr hselected) + | true => + constructor + · intro _ + trivial + · intro _ + apply (valuation_variable Q.targets centre target).mp + apply hall (.negative (varIndex centre target)) + simp only [BaseClauseTag.toClause, hcode, List.mem_map] + refine ⟨varIndex centre target, List.mem_range.mpr ?_, ?_⟩ + · unfold varIndex + omega + · simp [hbit] + have hcertificate : entry.certificate.Valid Q.targets := by + rw [htargets] + exact entry.valid + exact Certificate.not_convex_realises entry.certificate hcertificate hC hR + +/-- Every audited shared or branch clause is satisfied by the incidence table. -/ +theorem ClauseTag.satisfies + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) + (hN : Q.Normalized) (hSparse : Q.PairSparse) (hBalanced : Q.Balanced) + (tag : ClauseTag) (hvalid : tag.Valid) (hbranch : tag.BranchValid Q) : + (valuation Q.targets).satisfies tag.toClause := by + cases tag with + | base baseTag => + exact baseTag.satisfies hC hR hN hSparse hBalanced hvalid + | branchOne target selected => + exact unitClause_satisfied Q.targets 1 target selected hbranch + | branchTwo target selected => + exact unitClause_satisfied Q.targets 2 target selected hbranch + +/-- A covered reference list is satisfied by the corresponding incidence table. -/ +theorem coverageFormula_satisfied + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) + (hN : Q.Normalized) (hSparse : Q.PairSparse) (hBalanced : Q.Balanced) + {rowOne rowTwo : UInt64} + (hrowOne : Q.targets 1 = packedRow rowOne) + (hrowTwo : Q.targets 2 = packedRow rowTwo) + (references : List ℕ) + (hcovered : references.all (coveredB rowOne rowTwo) = true) : + (valuation Q.targets).SatisfiesFormula (coverageFormula rowOne rowTwo references) := by + constructor + intro clause hclause + rw [coverageFormula, List.mem_map] at hclause + obtain ⟨reference, hreference, rfl⟩ := hclause + have hcoveredReference := (List.all_eq_true.mp hcovered) reference hreference + simp only [coveredB, Bool.and_eq_true] at hcoveredReference + exact (tagOfRef rowOne rowTwo reference).satisfies hC hR hN hSparse hBalanced + ((tagOfRef rowOne rowTwo reference).valid_of_validB hcoveredReference.2) + (tagOfRef_branchValid Q hrowOne hrowTwo reference) + +end RawIncidence + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/CycleStrip.lean b/LeanPool/Erdos97ConvexOctagon/CycleStrip.lean new file mode 100644 index 000000000..ae50c2463 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/CycleStrip.lean @@ -0,0 +1,161 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Gram + +/-! # Erdős 97 convex-octagon formalization: Cycle Strip -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace + +private lemma cycle_strip_core + (u1 u2 u3 u4 u5 u6 : Plane) (s s3 s4 s5 : ℝ) (hs0 : 0 < s) + (n1 : ⟪u1, u1⟫_ℝ = s) (n2 : ⟪u2, u2⟫_ℝ = s) (n6 : ⟪u6, u6⟫_ℝ = s) + (ns3 : ⟪u3, u3⟫_ℝ = s3) (ns4 : ⟪u4, u4⟫_ℝ = s4) + (ns5 : ⟪u5, u5⟫_ℝ = s5) + (i12 : ⟪u1, u2⟫_ℝ = s / 2) (i21 : ⟪u2, u1⟫_ℝ = s / 2) + (i23 : ⟪u2, u3⟫_ℝ = s3 / 2) (i32 : ⟪u3, u2⟫_ℝ = s3 / 2) + (i13 : ⟪u1, u3⟫_ℝ = s3 / 2) (i31 : ⟪u3, u1⟫_ℝ = s3 / 2) + (i34 : ⟪u3, u4⟫_ℝ = (s3 + s4 - s) / 2) + (i43 : ⟪u4, u3⟫_ℝ = (s3 + s4 - s) / 2) + (i24 : ⟪u2, u4⟫_ℝ = s4 / 2) (i42 : ⟪u4, u2⟫_ℝ = s4 / 2) + (i45 : ⟪u4, u5⟫_ℝ = (s4 + s5 - s) / 2) + (i54 : ⟪u5, u4⟫_ℝ = (s4 + s5 - s) / 2) + (i35 : ⟪u3, u5⟫_ℝ = (s3 + s5 - s) / 2) + (i53 : ⟪u5, u3⟫_ℝ = (s3 + s5 - s) / 2) + (i56 : ⟪u5, u6⟫_ℝ = s5 / 2) (i65 : ⟪u6, u5⟫_ℝ = s5 / 2) + (i46 : ⟪u4, u6⟫_ℝ = s4 / 2) (i64 : ⟪u6, u4⟫_ℝ = s4 / 2) : + False := by + have hM1 := gram_det_eq_zero ![u1, u2, u3] + rw [gram3_expand] at hM1 + simp only [n1, n2, ns3, i12, i21, i23, i32, i13, i31] at hM1 + have hM2 := gram_det_eq_zero ![u2, u3, u4] + rw [gram3_expand] at hM2 + simp only [n2, ns3, ns4, i23, i32, i34, i43, i24, i42] at hM2 + have hM3 := gram_det_eq_zero ![u3, u4, u5] + rw [gram3_expand] at hM3 + simp only [ns3, ns4, ns5, i34, i43, i45, i54, i35, i53] at hM3 + have hM4 := gram_det_eq_zero ![u4, u5, u6] + rw [gram3_expand] at hM4 + simp only [ns4, ns5, n6, i45, i54, i56, i65, i46, i64] at hM4 + have h1s : s * (s3 * (s3 - 3 * s)) = 0 := by + nlinarith only [hM1] + have h1 : s3 * (s3 - 3 * s) = 0 := + (mul_eq_zero.mp h1s).resolve_left (ne_of_gt hs0) + rcases mul_eq_zero.mp h1 with hc | hc + · rw [hc] at hM2 hM3 + have h2s : s * ((s4 - s) ^ 2) = 0 := by + nlinarith only [hM2] + have hs4 : s4 = s := by + have hh := (mul_eq_zero.mp h2s).resolve_left (ne_of_gt hs0) + have hz := (pow_eq_zero_iff (n := 2) (by norm_num)).1 hh + linarith only [hz] + rw [hs4] at hM3 hM4 + have h3s : s * ((s5 - s) ^ 2) = 0 := by + nlinarith only [hM3] + have hs5 : s5 = s := by + have hh := (mul_eq_zero.mp h3s).resolve_left (ne_of_gt hs0) + have hz := (pow_eq_zero_iff (n := 2) (by norm_num)).1 hh + linarith only [hz] + rw [hs5] at hM4 + have hpos : (0 : ℝ) < s ^ 3 := by positivity + nlinarith only [hM4, hpos] + · have es3 : s3 = 3 * s := by linarith only [hc] + rw [es3] at hM2 hM3 + have h2s : s * ((s4 - 4 * s) * (s4 - s)) = 0 := by + nlinarith only [hM2] + have h2 : (s4 - 4 * s) * (s4 - s) = 0 := + (mul_eq_zero.mp h2s).resolve_left (ne_of_gt hs0) + rcases mul_eq_zero.mp h2 with hc2 | hc2 + · have es4 : s4 = 4 * s := by linarith only [hc2] + rw [es4] at hM3 hM4 + have h4s : s * ((s5 - 3 * s) ^ 2) = 0 := by + nlinarith only [hM4] + have hs5 : s5 = 3 * s := by + have hh := (mul_eq_zero.mp h4s).resolve_left (ne_of_gt hs0) + have hz := (pow_eq_zero_iff (n := 2) (by norm_num)).1 hh + linarith only [hz] + rw [hs5] at hM3 + have hpos : (0 : ℝ) < s ^ 3 := by positivity + nlinarith only [hM3, hpos] + · have es4 : s4 = s := by linarith only [hc2] + rw [es4] at hM3 hM4 + have h3s : s * ((s5 - s) * (s5 - 4 * s)) = 0 := by + nlinarith only [hM3] + have h3 : (s5 - s) * (s5 - 4 * s) = 0 := + (mul_eq_zero.mp h3s).resolve_left (ne_of_gt hs0) + have h4s : s * (s5 * (s5 - 3 * s)) = 0 := by + nlinarith only [hM4] + have h4 : s5 * (s5 - 3 * s) = 0 := + (mul_eq_zero.mp h4s).resolve_left (ne_of_gt hs0) + rcases mul_eq_zero.mp h3 with q | q <;> + rcases mul_eq_zero.mp h4 with r | r <;> + nlinarith only [q, r, hs0] + +/-- The twelve listed equal-length edges cannot form this planar cycle-square strip. -/ +theorem no_unit_cycle_square_strip + {o x1 x2 x3 x4 x5 x6 : Plane} {R : ℝ} (hR : 0 < R) + (e01 : dist o x1 = R) (e02 : dist o x2 = R) (e06 : dist o x6 = R) + (e12 : dist x1 x2 = R) (e13 : dist x1 x3 = R) (e23 : dist x2 x3 = R) + (e24 : dist x2 x4 = R) (e34 : dist x3 x4 = R) (e35 : dist x3 x5 = R) + (e45 : dist x4 x5 = R) (e46 : dist x4 x6 = R) (e56 : dist x5 x6 = R) : + False := by + set s : ℝ := R ^ 2 with hs + have hs0 : 0 < s := by positivity + have norm_sq : ∀ {x : Plane}, dist o x = R → ⟪x - o, x - o⟫_ℝ = s := by + intro x hx + rw [real_inner_self_eq_norm_sq, ← dist_eq_norm, dist_comm, hx, hs] + have inner_pol : ∀ {x y : Plane}, dist x y = R → + ⟪x - o, y - o⟫_ℝ = + (⟪x - o, x - o⟫_ℝ + ⟪y - o, y - o⟫_ℝ - s) / 2 := by + intro x y hxy + have hsub : (x - o) - (y - o) = x - y := by abel + have hxynorm : ‖(x - o) - (y - o)‖ = R := by + rw [hsub, ← dist_eq_norm, hxy] + have hpolar := norm_sub_sq_real (x - o) (y - o) + rw [hxynorm] at hpolar + simp only [real_inner_self_eq_norm_sq] + have hR2 : R ^ 2 = s := hs.symm + nlinarith only [hpolar, hR2] + set s3 : ℝ := ⟪x3 - o, x3 - o⟫_ℝ with hs3 + set s4 : ℝ := ⟪x4 - o, x4 - o⟫_ℝ with hs4 + set s5 : ℝ := ⟪x5 - o, x5 - o⟫_ℝ with hs5 + refine cycle_strip_core (x1 - o) (x2 - o) (x3 - o) (x4 - o) (x5 - o) (x6 - o) + s s3 s4 s5 hs0 (norm_sq e01) (norm_sq e02) (norm_sq e06) rfl rfl rfl + ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ ?_ + · rw [inner_pol e12, norm_sq e01, norm_sq e02] + ring + · rw [real_inner_comm, inner_pol e12, norm_sq e01, norm_sq e02] + ring + · rw [inner_pol e23, norm_sq e02, ← hs3] + ring + · rw [real_inner_comm, inner_pol e23, norm_sq e02, ← hs3] + ring + · rw [inner_pol e13, norm_sq e01, ← hs3] + ring + · rw [real_inner_comm, inner_pol e13, norm_sq e01, ← hs3] + ring + · rw [inner_pol e34, ← hs3, ← hs4] + · rw [real_inner_comm, inner_pol e34, ← hs3, ← hs4] + · rw [inner_pol e24, norm_sq e02, ← hs4] + ring + · rw [real_inner_comm, inner_pol e24, norm_sq e02, ← hs4] + ring + · rw [inner_pol e45, ← hs4, ← hs5] + · rw [real_inner_comm, inner_pol e45, ← hs4, ← hs5] + · rw [inner_pol e35, ← hs3, ← hs5] + · rw [real_inner_comm, inner_pol e35, ← hs3, ← hs5] + · rw [inner_pol e56, norm_sq e06, ← hs5] + ring + · rw [real_inner_comm, inner_pol e56, norm_sq e06, ← hs5] + ring + · rw [inner_pol e46, norm_sq e06, ← hs4] + ring + · rw [real_inner_comm, inner_pol e46, norm_sq e06, ← hs4] + ring + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/EquidistantFour.lean b/LeanPool/Erdos97ConvexOctagon/EquidistantFour.lean new file mode 100644 index 000000000..f267dc5a9 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/EquidistantFour.lean @@ -0,0 +1,102 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Basic + +/-! # Erdős 97 convex-octagon formalization: Equidistant Four -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace +open Module + +/-- Three vectors with the regular-simplex Gram matrix are linearly independent. -/ +theorem linearIndependent_of_regular_gram + {E : Type*} [NormedAddCommGroup E] [InnerProductSpace ℝ E] + {u v w : E} {s : ℝ} (hs : 0 < s) + (huu : ⟪u, u⟫_ℝ = s) (hvv : ⟪v, v⟫_ℝ = s) (hww : ⟪w, w⟫_ℝ = s) + (huv : ⟪u, v⟫_ℝ = s / 2) (huw : ⟪u, w⟫_ℝ = s / 2) + (hvw : ⟪v, w⟫_ℝ = s / 2) : + LinearIndependent ℝ ![u, v, w] := by + rw [Fintype.linearIndependent_iff] + intro g hg + have hsum : g 0 • u + g 1 • v + g 2 • w = 0 := by + have h := hg + simp only [Fin.sum_univ_three, Matrix.cons_val_zero, Matrix.cons_val_one, + Matrix.head_cons, Matrix.cons_val_two, Matrix.tail_cons] at h + simpa [add_assoc] using h + have e1 : ⟪g 0 • u + g 1 • v + g 2 • w, u⟫_ℝ = 0 := by rw [hsum]; simp + have e2 : ⟪g 0 • u + g 1 • v + g 2 • w, v⟫_ℝ = 0 := by rw [hsum]; simp + have e3 : ⟪g 0 • u + g 1 • v + g 2 • w, w⟫_ℝ = 0 := by rw [hsum]; simp + simp only [inner_add_left, real_inner_smul_left] at e1 e2 e3 + have cvu : ⟪v, u⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact huv + have cwu : ⟪w, u⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact huw + have cwv : ⟪w, v⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact hvw + rw [huu, cvu, cwu] at e1 + rw [huv, hvv, cwv] at e2 + rw [huw, hvw, hww] at e3 + have hg0 : g 0 = 0 := by nlinarith only [e1, e2, e3, hs] + have hg1 : g 1 = 0 := by nlinarith only [e1, e2, e3, hs] + have hg2 : g 2 = 0 := by nlinarith only [e1, e2, e3, hs] + intro i + fin_cases i <;> assumption + +/-- Four distinct planar points cannot have all six distances equal. -/ +theorem four_points_not_pairwise_equidistant + {a b c d : Plane} {r : ℝ} + (had : a ≠ d) + (dab : dist a b = r) (dac : dist a c = r) (dad : dist a d = r) + (dbc : dist b c = r) (dbd : dist b d = r) (dcd : dist c d = r) : + False := by + set u : Plane := a - d with hu + set v : Plane := b - d with hv + set w : Plane := c - d with hw + have hr0 : 0 < r := by + have h : (0 : ℝ) < dist a d := dist_pos.mpr had + rwa [dad] at h + set s : ℝ := r ^ 2 with hsdef + have hs : 0 < s := by positivity + have nu : ⟪u, u⟫_ℝ = s := by + rw [real_inner_self_eq_norm_sq, hu, ← dist_eq_norm, dad, hsdef] + have nv : ⟪v, v⟫_ℝ = s := by + rw [real_inner_self_eq_norm_sq, hv, ← dist_eq_norm, dbd, hsdef] + have nw : ⟪w, w⟫_ℝ = s := by + rw [real_inner_self_eq_norm_sq, hw, ← dist_eq_norm, dcd, hsdef] + have huv_norm : ‖u - v‖ = r := by + have h : u - v = a - b := by rw [hu, hv]; abel + rw [h, ← dist_eq_norm, dab] + have huw_norm : ‖u - w‖ = r := by + have h : u - w = a - c := by rw [hu, hw]; abel + rw [h, ← dist_eq_norm, dac] + have hvw_norm : ‖v - w‖ = r := by + have h : v - w = b - c := by rw [hv, hw]; abel + rw [h, ← dist_eq_norm, dbc] + have hnu : ‖u‖ ^ 2 = s := by rw [← real_inner_self_eq_norm_sq]; exact nu + have hnv : ‖v‖ ^ 2 = s := by rw [← real_inner_self_eq_norm_sq]; exact nv + have hnw : ‖w‖ ^ 2 = s := by rw [← real_inner_self_eq_norm_sq]; exact nw + have iuv : ⟪u, v⟫_ℝ = s / 2 := by + have h := norm_sub_sq_real u v + rw [huv_norm, hnu, hnv] at h + rw [hsdef] + linarith + have iuw : ⟪u, w⟫_ℝ = s / 2 := by + have h := norm_sub_sq_real u w + rw [huw_norm, hnu, hnw] at h + rw [hsdef] + linarith + have ivw : ⟪v, w⟫_ℝ = s / 2 := by + have h := norm_sub_sq_real v w + rw [hvw_norm, hnv, hnw] at h + rw [hsdef] + linarith + have hli : LinearIndependent ℝ ![u, v, w] := + linearIndependent_of_regular_gram hs nu nv nw iuv iuw ivw + have hcard := hli.fintype_card_le_finrank + have hfr : finrank ℝ Plane = 2 := by simp [Plane] + rw [hfr, Fintype.card_fin] at hcard + omega + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/FiniteModel.lean b/LeanPool/Erdos97ConvexOctagon/FiniteModel.lean new file mode 100644 index 000000000..c2a166d6c --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/FiniteModel.lean @@ -0,0 +1,107 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Relabelling +import LeanPool.Erdos97ConvexOctagon.LRAT.Semantics +import Mathlib.Data.List.Sort + +/-! # Erdős 97 convex-octagon formalization: Finite Model -/ + +namespace Erdos97Octagon + +/-- An unbundled eight-row incidence table used by the finite certificate. -/ +abbrev RawIncidence := Vertex → Finset Vertex + +namespace RawIncidence + +/-- A four-entry row used by the finite certificate. -/ +abbrev SearchRow := Finset Vertex + +/-- All four-element rows available at a specified centre. -/ +def rowOptions (v : Vertex) : List SearchRow := + (((List.finRange 8).filter (· ≠ v)).sublistsLen 4).map List.toFinset + +/-- Every row of an octagon incidence system occurs in the finite row list. -/ +theorem target_row_mem_rowOptions (Q : OctagonIncidence) (v : Vertex) : + Q.targets v ∈ rowOptions v := by + let row := (Q.targets v).sort (· ≤ ·) + have hnodup : row.Nodup := Finset.sort_nodup _ _ + have hsubset : row ⊆ (List.finRange 8).filter (· ≠ v) := by + intro x hx + rw [List.mem_filter] + have hxQ : x ∈ Q.targets v := by + simpa [row] using hx + exact ⟨List.mem_finRange x, + decide_eq_true (fun h => Q.centre_not_mem v (h ▸ hxQ))⟩ + have hsubperm : row.Subperm ((List.finRange 8).filter (· ≠ v)) := + hnodup.subperm hsubset + have hsortedRow : row.SortedLE := + (Finset.pairwise_sort (Q.targets v) (· ≤ ·)).sortedLE + have hsortedAll : ((List.finRange 8).filter (· ≠ v)).SortedLE := + ((List.sortedLT_finRange 8).sortedLE.pairwise.filter _).sortedLE + have hsublist : row.Sublist ((List.finRange 8).filter (· ≠ v)) := + List.sublist_of_subperm_of_sortedLE hsubperm hsortedRow hsortedAll + have hlength : row.length = 4 := by + rw [← List.toFinset_card_of_nodup hnodup, Finset.sort_toFinset, Q.card_targets] + rw [rowOptions, List.mem_map] + exact ⟨row, List.mem_sublistsLen.mpr ⟨hsublist, hlength⟩, + Finset.sort_toFinset _ _⟩ + +/-- The zero-based SAT variable representing one directed incidence. -/ +def varIndex (centre target : Vertex) : ℕ := + 8 * centre.val + target.val + +/-- A proposition-valued SAT assignment obtained from an incidence table. -/ +def valuation (R : RawIncidence) : LRAT.Valuation := fun index => + ∃ centre target : Vertex, + index = varIndex centre target ∧ target ∈ R centre + +/-- Reading the SAT assignment at an incidence variable recovers membership. -/ +theorem valuation_variable (R : RawIncidence) (centre target : Vertex) : + valuation R (varIndex centre target) ↔ target ∈ R centre := by + constructor + · rintro ⟨centre', target', hindex, hmem⟩ + have hcentreVal : centre'.val = centre.val := by + unfold varIndex at hindex + omega + have htargetVal : target'.val = target.val := by + unfold varIndex at hindex + omega + have hcentre : centre' = centre := Fin.ext hcentreVal + have htarget : target' = target := Fin.ext htargetVal + simpa [hcentre, htarget] using hmem + · intro hmem + exact ⟨centre, target, rfl, hmem⟩ + +/-- Test one bit of a packed 64-bit incidence table. -/ +def bitSetB (code : UInt64) (index : ℕ) : Bool := + ((code >>> UInt64.ofNat index) &&& 1) != 0 + +/-- Read one directed incidence from a packed table. -/ +def packedSelectsB (code : UInt64) (centre target : Vertex) : Bool := + bitSetB code (varIndex centre target) + +/-- Decode a packed table to the mathematical finite-set model. -/ +def packedIncidence (code : UInt64) : RawIncidence := fun centre => + Finset.univ.filter fun target => packedSelectsB code centre target + +@[simp] theorem mem_packedIncidence (code : UInt64) (centre target : Vertex) : + target ∈ packedIncidence code centre ↔ packedSelectsB code centre target = true := by + simp [packedIncidence] + +/-- Pack one finite row into its eight-bit position. -/ +def rowMask (row : SearchRow) : UInt64 := + (List.finRange 8).foldl (fun mask target => + if target ∈ row then mask ||| (1 <<< UInt64.ofNat target.val) else mask) 0 + +/-- Pack all eight rows into one 64-bit key. -/ +def systemCode (R : RawIncidence) : UInt64 := + (List.finRange 8).foldl (fun packed centre => + packed ||| (rowMask (R centre) <<< UInt64.ofNat (8 * centre.val))) 0 + +end RawIncidence + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/GeometryReduction.lean b/LeanPool/Erdos97ConvexOctagon/GeometryReduction.lean new file mode 100644 index 000000000..fde67bb63 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/GeometryReduction.lean @@ -0,0 +1,164 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Basic +import LeanPool.Erdos97ConvexOctagon.Incidence +import Mathlib.Analysis.Convex.Between +import Mathlib.Analysis.Convex.Independent +import Mathlib.Geometry.Euclidean.PerpBisector + +/-! # Erdős 97 convex-octagon formalization: Geometry Reduction -/ + +namespace Erdos97Octagon + +open scoped RealInnerProductSpace + +/-- A vertex has four other labelled vertices at one common distance. -/ +def HasFourEquidistant (p : Vertex → Plane) (v : Vertex) : Prop := + ∃ S : Finset Vertex, S.card = 4 ∧ v ∉ S ∧ + ∃ r : ℝ, ∀ w ∈ S, dist (p v) (p w) = r + +/-- A labelled incidence system is realised by equal-distance rows in the plane. -/ +def Realises (p : Vertex → Plane) (Q : OctagonIncidence) : Prop := + ∀ v, ∃ r : ℝ, ∀ w ∈ Q.targets v, dist (p v) (p w) = r + +private lemma three_centres_collinear + {a b v₁ v₂ v₃ : Plane} (hab : a ≠ b) + (h1 : dist v₁ a = dist v₁ b) + (h2 : dist v₂ a = dist v₂ b) + (h3 : dist v₃ a = dist v₃ b) : + Collinear ℝ ({v₁, v₂, v₃} : Set Plane) := by + have hne : b -ᵥ a ≠ 0 := fun h => hab (vsub_eq_zero_iff_eq.mp h).symm + have h1' : dist a v₁ = dist b v₁ := by + rw [dist_comm a, dist_comm b] + exact h1 + have h2' : dist a v₂ = dist b v₂ := by + rw [dist_comm a, dist_comm b] + exact h2 + have h3' : dist a v₃ = dist b v₃ := by + rw [dist_comm a, dist_comm b] + exact h3 + have hinn₁₂ : ⟪v₂ -ᵥ v₁, b -ᵥ a⟫ = (0 : ℝ) := + EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq h1' h2' + have hinn₁₃ : ⟪v₃ -ᵥ v₁, b -ᵥ a⟫ = (0 : ℝ) := + EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq h1' h3' + have hfd : Module.finrank ℝ Plane = 1 + 1 := by + rw [finrank_euclideanSpace] + norm_num + letI : Fact (Module.finrank ℝ Plane = 1 + 1) := ⟨hfd⟩ + have hfo : Module.finrank ℝ ((ℝ ∙ (b -ᵥ a) : Submodule ℝ Plane))ᗮ = 1 := + Submodule.finrank_orthogonal_span_singleton hne + have horth : vectorSpan ℝ ({v₁, v₂, v₃} : Set Plane) ≤ + (ℝ ∙ (b -ᵥ a) : Submodule ℝ Plane)ᗮ := by + rw [vectorSpan_eq_span_vsub_set_right_ne ℝ (Set.mem_insert v₁ _)] + rw [Submodule.span_le] + intro w hw + rw [Set.mem_image] at hw + obtain ⟨q, hq, rfl⟩ := hw + have hq_ne : q ≠ v₁ := fun h => hq.2 (by simpa using h) + have hq_cases : q = v₂ ∨ q = v₃ := by + rcases hq.1 with hq | hq + · exact absurd hq hq_ne + rcases hq with hq | hq + · exact Or.inl hq + · simpa using Or.inr hq + rw [SetLike.mem_coe, Submodule.mem_orthogonal_singleton_iff_inner_left] + rcases hq_cases with rfl | rfl + · exact hinn₁₂ + · exact hinn₁₃ + letI : FiniteDimensional ℝ (vectorSpan ℝ ({v₁, v₂, v₃} : Set Plane)) := + Submodule.finiteDimensional_of_le horth + rw [collinear_iff_finrank_le_one] + calc + Module.finrank ℝ (vectorSpan ℝ ({v₁, v₂, v₃} : Set Plane)) ≤ + Module.finrank ℝ ((ℝ ∙ (b -ᵥ a) : Submodule ℝ Plane))ᗮ := + Submodule.finrank_mono horth + _ = 1 := hfo + +/-- Three distinct members of a convex-independent family cannot be collinear. -/ +theorem three_collinear_not_convexIndependent + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + {i j k : Vertex} (hij : i ≠ j) (hik : i ≠ k) (hjk : j ≠ k) + (hCol : Collinear ℝ ({p i, p j, p k} : Set Plane)) : + False := by + rcases hCol.wbtw_or_wbtw_or_wbtw with hW | hW | hW + · have hj : j ∈ ({i, k} : Set Vertex) := hC {i, k} j (by + simpa only [Set.image_insert_eq, Set.image_singleton, convexHull_pair] using hW.mem_segment) + simp [hij.symm, hjk] at hj + · have hk : k ∈ ({j, i} : Set Vertex) := hC {j, i} k (by + simpa only [Set.image_insert_eq, Set.image_singleton, convexHull_pair] using hW.mem_segment) + simp [hjk.symm, hik.symm] at hk + · have hi : i ∈ ({k, j} : Set Vertex) := hC {k, j} i (by + simpa only [Set.image_insert_eq, Set.image_singleton, convexHull_pair] using hW.mem_segment) + simp [hij, hik] at hi + +/-- At most two vertices of a convex-independent planar family are equidistant +from any fixed pair of distinct vertices. -/ +theorem equidistantCentres_card_le_two + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + {a b : Vertex} (hab : a ≠ b) : + (Finset.univ.filter fun v => dist (p v) (p a) = dist (p v) (p b)).card ≤ 2 := by + classical + by_contra hgt + let S := Finset.univ.filter fun v => dist (p v) (p a) = dist (p v) (p b) + change ¬ S.card ≤ 2 at hgt + have h3 : 3 ≤ S.card := by omega + obtain ⟨v₁, v₂, v₃, hv₁S, hv₂S, hv₃S, h12, h13, h23⟩ : + ∃ v₁ v₂ v₃ : Vertex, v₁ ∈ S ∧ v₂ ∈ S ∧ v₃ ∈ S ∧ + v₁ ≠ v₂ ∧ v₁ ≠ v₃ ∧ v₂ ≠ v₃ := by + obtain ⟨T, hTS, hTcard⟩ := Finset.exists_subset_card_eq h3 + rw [Finset.card_eq_three] at hTcard + obtain ⟨v₁, v₂, v₃, h12, h13, h23, rfl⟩ := hTcard + exact ⟨v₁, v₂, v₃, hTS (by simp), hTS (by simp), hTS (by simp), h12, h13, h23⟩ + have e1 : dist (p v₁) (p a) = dist (p v₁) (p b) := (Finset.mem_filter.mp hv₁S).2 + have e2 : dist (p v₂) (p a) = dist (p v₂) (p b) := (Finset.mem_filter.mp hv₂S).2 + have e3 : dist (p v₃) (p a) = dist (p v₃) (p b) := (Finset.mem_filter.mp hv₃S).2 + have hCol : Collinear ℝ ({p v₁, p v₂, p v₃} : Set Plane) := + three_centres_collinear (hC.injective.ne hab) e1 e2 e3 + exact three_collinear_not_convexIndependent hC h12 h13 h23 hCol + +/-- A realisation in convex position has pair multiplicity at most two. -/ +theorem pairSparse_of_realises + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + (Q : OctagonIncidence) (hR : Realises p Q) : + Q.PairSparse := by + classical + intro a b hab + have hsubset : + (Finset.univ.filter fun v => a ∈ Q.targets v ∧ b ∈ Q.targets v) ⊆ + Finset.univ.filter fun v => dist (p v) (p a) = dist (p v) (p b) := by + intro v hv + rw [Finset.mem_filter] at hv ⊢ + obtain ⟨r, hr⟩ := hR v + exact ⟨Finset.mem_univ _, (hr a hv.2.1).trans (hr b hv.2.2).symm⟩ + unfold OctagonIncidence.pairMultiplicity + rw [Finset.sum_boole] + norm_num + exact (Finset.card_le_card hsubset).trans (equidistantCentres_card_le_two hC hab) + +/-- Failure at every vertex canonically yields a four-target incidence system. -/ +theorem incidence_of_all_hasFour + {p : Vertex → Plane} (h : ∀ v, HasFourEquidistant p v) : + ∃ Q : OctagonIncidence, Realises p Q := by + classical + let Q : OctagonIncidence := + { targets := fun v => (h v).choose + card_targets := fun v => (h v).choose_spec.1 + centre_not_mem := fun v => (h v).choose_spec.2.1 } + refine ⟨Q, ?_⟩ + intro v + exact (h v).choose_spec.2.2 + +/-- Any failed convex octagon produces a balanced, pair-sparse incidence system. -/ +theorem reduction_of_all_hasFour + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + (h : ∀ v, HasFourEquidistant p v) : + ∃ Q : OctagonIncidence, Realises p Q ∧ Q.PairSparse ∧ Q.Balanced := by + obtain ⟨Q, hR⟩ := incidence_of_all_hasFour h + have hS := pairSparse_of_realises hC Q hR + exact ⟨Q, hR, hS, Q.balanced_of_pairSparse hS⟩ + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/Gram.lean b/LeanPool/Erdos97ConvexOctagon/Gram.lean new file mode 100644 index 000000000..3cd2d14a1 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Gram.lean @@ -0,0 +1,62 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Basic +import Mathlib.LinearAlgebra.Matrix.Determinant.Basic +import Mathlib.LinearAlgebra.Matrix.ToLinearEquiv + +/-! # Erdős 97 convex-octagon formalization: Gram -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace +open Module Matrix + +/-- Three vectors in the Euclidean plane cannot be linearly independent. -/ +lemma not_linearIndependent_three (u : Fin 3 → Plane) : + ¬ LinearIndependent ℝ u := by + intro h + have hcard := h.fintype_card_le_finrank + have hfr : finrank ℝ Plane = 2 := by simp [Plane] + rw [hfr, Fintype.card_fin] at hcard + omega + +/-- The determinant of the Gram matrix of three planar vectors vanishes. -/ +lemma gram_det_eq_zero (u : Fin 3 → Plane) : + (Matrix.of fun i j => (⟪u i, u j⟫_ℝ : ℝ)).det = 0 := by + obtain ⟨g, hg, i0, hi0⟩ := + (Fintype.not_linearIndependent_iff).1 (not_linearIndependent_three u) + set G : Matrix (Fin 3) (Fin 3) ℝ := + Matrix.of fun i j => (⟪u i, u j⟫_ℝ : ℝ) with hG + have hker : G *ᵥ g = 0 := by + funext i + rw [Matrix.mulVec, Pi.zero_apply, dotProduct] + have hrew : (∑ j, G i j * g j) = ⟪u i, ∑ j, g j • u j⟫_ℝ := by + rw [inner_sum] + apply Finset.sum_congr rfl + intro j _ + rw [hG, Matrix.of_apply, real_inner_smul_right] + ring + rw [hrew, hg, inner_zero_right] + have hgne : g ≠ 0 := by + intro h + exact hi0 (by rw [h]; rfl) + exact Matrix.exists_mulVec_eq_zero_iff.1 ⟨g, hgne, hker⟩ + +/-- Expands a `3 × 3` Gram determinant into scalar inner products. -/ +lemma gram3_expand (a b c : Plane) : + (Matrix.of fun i j => (⟪(![a, b, c]) i, (![a, b, c]) j⟫_ℝ : ℝ)).det = + ⟪a, a⟫_ℝ * ⟪b, b⟫_ℝ * ⟪c, c⟫_ℝ - + ⟪a, a⟫_ℝ * ⟪b, c⟫_ℝ * ⟪c, b⟫_ℝ - + ⟪a, b⟫_ℝ * ⟪b, a⟫_ℝ * ⟪c, c⟫_ℝ + + ⟪a, b⟫_ℝ * ⟪b, c⟫_ℝ * ⟪c, a⟫_ℝ + + ⟪a, c⟫_ℝ * ⟪b, a⟫_ℝ * ⟪c, b⟫_ℝ - + ⟪a, c⟫_ℝ * ⟪b, b⟫_ℝ * ⟪c, a⟫_ℝ := by + rw [Matrix.det_fin_three] + simp only [Matrix.of_apply, Matrix.cons_val_zero, Matrix.cons_val_one, + Matrix.head_cons, Matrix.cons_val_two, Matrix.tail_cons, Fin.isValue] + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/Incidence.lean b/LeanPool/Erdos97ConvexOctagon/Incidence.lean new file mode 100644 index 000000000..0238c8353 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Incidence.lean @@ -0,0 +1,154 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import Mathlib.Algebra.BigOperators.Ring.Finset +import Mathlib.Algebra.BigOperators.Group.Finset.Sigma +import Mathlib.Algebra.Order.BigOperators.Group.Finset +import Mathlib.Data.Finset.Card +import Mathlib.Tactic.NormNum +import Lean.Elab.Tactic.Omega + +/-! # Erdős 97 convex-octagon formalization: Incidence -/ + +namespace Erdos97Octagon + +open scoped BigOperators + +/-- The labelled vertex set of an octagon. -/ +abbrev Vertex := Fin 8 + +/-- Four selected equidistant witnesses around every labelled octagon vertex. -/ +structure OctagonIncidence where + /-- The four selected witnesses associated with a centre. -/ + targets : Vertex → Finset Vertex + /-- Every witness row has exactly four vertices. -/ + card_targets : ∀ v, (targets v).card = 4 + /-- A centre is not one of its own positive-radius witnesses. -/ + centre_not_mem : ∀ v, v ∉ targets v + +@[ext] +theorem OctagonIncidence.ext {Q R : OctagonIncidence} (h : Q.targets = R.targets) : Q = R := by + cases Q + cases R + cases h + rfl + +namespace OctagonIncidence + +/-- The number of witness rows containing `a`. -/ +def indegree (Q : OctagonIncidence) (a : Vertex) : ℕ := + ∑ v, if a ∈ Q.targets v then 1 else 0 + +/-- The number of witness rows containing both `a` and `b`. -/ +def pairMultiplicity (Q : OctagonIncidence) (a b : Vertex) : ℕ := + ∑ v, if a ∈ Q.targets v ∧ b ∈ Q.targets v then 1 else 0 + +/-- No distinct pair occurs together in more than two witness rows. -/ +def PairSparse (Q : OctagonIncidence) : Prop := + ∀ ⦃a b⦄, a ≠ b → Q.pairMultiplicity a b ≤ 2 + +/-- Every vertex occurs in exactly four witness rows. -/ +def Balanced (Q : OctagonIncidence) : Prop := + ∀ a, Q.indegree a = 4 + +private lemma row_pair_sum (Q : OctagonIncidence) (a v : Vertex) : + (∑ b ∈ Finset.univ.erase a, + if a ∈ Q.targets v ∧ b ∈ Q.targets v then (1 : ℕ) else 0) = + if a ∈ Q.targets v then 3 else 0 := by + classical + by_cases ha : a ∈ Q.targets v + · have hfilter : + (Finset.univ.erase a).filter (fun b => b ∈ Q.targets v) = + (Q.targets v).erase a := by + ext b + simp [and_comm] + rw [if_pos ha] + simp only [ha, true_and, Finset.sum_boole, hfilter] + rw [Finset.card_erase_of_mem ha, Q.card_targets] + norm_num + · simp [ha] + +/-- Double-count pairs in the witness rows containing a fixed vertex. -/ +theorem sum_pairMultiplicity (Q : OctagonIncidence) (a : Vertex) : + (∑ b ∈ Finset.univ.erase a, Q.pairMultiplicity a b) = + 3 * Q.indegree a := by + classical + simp only [pairMultiplicity, indegree] + rw [Finset.sum_comm] + simp_rw [row_pair_sum] + simp only [Finset.mul_sum] + apply Finset.sum_congr rfl + intro v _ + by_cases ha : a ∈ Q.targets v <;> simp [ha] + +/-- Every vertex has indegree at most four when pair multiplicities are at most two. -/ +theorem indegree_le_four (Q : OctagonIncidence) (hQ : Q.PairSparse) (a : Vertex) : + Q.indegree a ≤ 4 := by + have hsum : + (∑ b ∈ Finset.univ.erase a, Q.pairMultiplicity a b) ≤ + ∑ _b ∈ Finset.univ.erase a, 2 := by + exact Finset.sum_le_sum fun b hb => hQ (Finset.ne_of_mem_erase hb).symm + rw [Q.sum_pairMultiplicity] at hsum + norm_num at hsum + omega + +/-- There are exactly 32 selected incidences in an octagon witness system. -/ +theorem sum_indegree (Q : OctagonIncidence) : + ∑ a, Q.indegree a = 32 := by + classical + simp only [indegree] + rw [Finset.sum_comm] + calc + (∑ v : Vertex, ∑ a : Vertex, if a ∈ Q.targets v then 1 else 0) = + ∑ v : Vertex, (Q.targets v).card := by + apply Finset.sum_congr rfl + intro v _ + rw [Finset.sum_boole] + norm_num + _ = ∑ _v : Vertex, 4 := by + apply Finset.sum_congr rfl + intro v _ + exact Q.card_targets v + _ = 32 := by norm_num + +private lemma eq_of_bounded_sum + {α : Type*} [Fintype α] + (f : α → ℕ) (k : ℕ) (hle : ∀ a, f a ≤ k) + (hsum : ∑ a, f a = Fintype.card α * k) (a : α) : + f a = k := by + classical + have ha : a ∈ (Finset.univ : Finset α) := Finset.mem_univ a + have hrest : + (∑ x ∈ (Finset.univ.erase a), f x) ≤ + (Finset.univ.erase a).card • k := + Finset.sum_le_card_nsmul _ _ _ fun x _ => hle x + have hsplit := Finset.sum_erase_add Finset.univ f ha + have hcard := Finset.card_erase_add_one ha + simp only [Finset.card_univ, nsmul_eq_mul] at hrest hcard + have hmul : + Fintype.card α * k = (Finset.univ.erase a).card * k + k := by + rw [← hcard, Nat.add_mul] + simp + have htotal_le : + (∑ x, f x) ≤ (Finset.univ.erase a).card * k + f a := by + calc + (∑ x, f x) = (∑ x ∈ Finset.univ.erase a, f x) + f a := hsplit.symm + _ ≤ (Finset.univ.erase a).card * k + f a := + Nat.add_le_add_right hrest (f a) + rw [hsum] at htotal_le + rw [hmul] at htotal_le + exact Nat.le_antisymm (hle a) (Nat.le_of_add_le_add_left htotal_le) + +/-- Pair sparsity forces the four-in/four-out balanced incidence condition. -/ +theorem balanced_of_pairSparse (Q : OctagonIncidence) (hQ : Q.PairSparse) : + Q.Balanced := by + intro a + apply eq_of_bounded_sum Q.indegree 4 (Q.indegree_le_four hQ) + simpa using Q.sum_indegree + +end OctagonIncidence + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean b/LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean new file mode 100644 index 000000000..aca6e2972 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean @@ -0,0 +1,483 @@ +/- +Copyright (c) 2022 Mario Carneiro, 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Mario Carneiro, Egor Lyfar +-/ + +import Lean.Elab.Command +import LeanPool.Erdos97ConvexOctagon.LRAT.Format +import LeanPool.Erdos97ConvexOctagon.MasterFormula + +/-! +# Safe elaboration of the packed master LRAT certificate + +Adapted from `Mathlib/Tactic/Sat/FromLRAT.lean` (Apache-2.0). The +reconstruction reads typed project data, reconstructs unit propagation, and +stores every retained nonempty addition as a stable internal theorem so later +modules cross an ordinary imported-constant boundary. +-/ + +namespace Erdos97Octagon.LRAT + +open Lean Elab Command +open Std + +/-- Fuel for decoding one generated list of at most 500 string literals. -/ +def embeddedCertificatePartFuel : ℕ := 640 + +/-- +Exact maximum number of compiled expression nodes traversed while decoding a +committed generated certificate part. +-/ +def embeddedCertificatePartMaximumExpressionSteps : ℕ := 616 + +instance : ToExpr Literal where + toTypeExpr := mkConst ``Literal + toExpr + | .positive index => mkApp (mkConst ``Literal.positive) (mkRawNatLit index) + | .negative index => mkApp (mkConst ``Literal.negative) (mkRawNatLit index) + +/-- A proved clause in the elaborator database. -/ +private structure GlobalClause where + literals : Array Int + expression : Expr + proof : Expr + +/-- A referenced clause represented by a local proof variable. -/ +private structure LocalClause where + literals : Array Int + expression : Expr + binderDepth : ℕ + +private def buildClause (literals : Array Int) : Expr := + let literalType := mkConst ``Literal + let empty := mkApp (mkConst ``List.nil [0]) literalType + let prepend := mkApp (mkConst ``List.cons [0]) literalType + literals.foldr + (fun literal clause => + mkApp2 prepend (toExpr <| Literal.ofInt literal) clause) + empty + +private def buildProofStep + (database : HashMap ℕ GlobalClause) (newLiterals : Array Int) + (antecedents : Array ℕ) (context clause : Expr) : + Except String Expr := Id.run do + let mut binderTypes := #[] + let mut proofArguments := #[] + let mut localDatabase : HashMap ℕ LocalClause := {} + for identifier in antecedents do + let some referenced := database[identifier]? + | return .error s!"missing antecedent clause {identifier}" + unless localDatabase.contains identifier do + binderTypes := binderTypes.push + (mkApp2 (mkConst ``Formula.Proves) context referenced.expression) + proofArguments := proofArguments.push referenced.proof + localDatabase := localDatabase.insert identifier { + literals := referenced.literals + expression := referenced.expression + binderDepth := proofArguments.size + } + let argumentCount := proofArguments.size + let mut finish := + (mkAppN · proofArguments) ∘ + binderTypes.foldr (mkLambda `clause default) ∘ + mkLambda `valuation default (mkConst ``Valuation) ∘ + mkLambda `satisfies default + (mkApp2 (mkConst ``Valuation.SatisfiesFormula) (mkBVar 0) context) + let valuation depth := mkBVar (depth + 1) + let satisfies depth := mkBVar depth + binderTypes := #[] + let mut remainingClause := clause + let mut depth := 0 + let mut literalContext : HashMap Int ℕ := {} + for literal in newLiterals do + let literalExpression := remainingClause.appFn!.appArg! + remainingClause := remainingClause.appArg! + binderTypes := binderTypes.push + (mkApp2 (mkConst ``Valuation.falsifies) + (valuation depth) literalExpression) + depth := depth + 1 + literalContext := literalContext.insert literal depth + finish := finish ∘ binderTypes.foldr (mkLambda `falsified default) + for identifier in antecedents do + let some referenced := localDatabase[identifier]? + | return .error s!"missing local antecedent clause {identifier}" + let mut unitLiteral : Option Int := none + for literal in referenced.literals do + unless literalContext.contains literal do + if unitLiteral.isSome then + return .error s!"antecedent {identifier} is not unit" + depth := depth + 1 + unitLiteral := some literal + let proofVariable := + mkBVar (depth + argumentCount + 2 - referenced.binderDepth) + let mut refutation := + mkApp2 proofVariable (valuation depth) (satisfies depth) + for literal in referenced.literals do + let binderIndex := + match literalContext[literal]? with + | some binderDepth => depth - binderDepth + | none => 0 + refutation := mkApp refutation (mkBVar binderIndex) + let some literal := unitLiteral + | return .ok <| finish refutation + let literalExpression := toExpr <| Literal.ofInt literal + let negatedExpression := toExpr <| Literal.ofInt (-literal) + let priorDepth := depth - 1 + let propagation := + mkApp3 (mkConst ``Valuation.propagateCases) + (valuation priorDepth) negatedExpression <| + mkLambda `falsified default + (mkApp2 (mkConst ``Valuation.falsifies) + (valuation priorDepth) literalExpression) + refutation + let domain := + mkApp2 (mkConst ``Valuation.falsifies) + (valuation priorDepth) negatedExpression + finish := fun expression => + finish <| mkApp propagation <| mkLambda `falsified default domain expression + literalContext := literalContext.insert (-literal) depth + return .error s!"antecedents do not refute clause {newLiterals}" + +private structure DecodedStringList where + strings : List String + expressionSteps : ℕ + +private def decodeStringListWithFuel : + ℕ → Expr → Except String DecodedStringList + | 0, _ => throw "embedded string list exceeds its structural bound" + | fuel + 1, .letE _ _ value body _ => do + let decoded ← decodeStringListWithFuel fuel (body.instantiate1 value) + pure { + strings := decoded.strings + expressionSteps := decoded.expressionSteps + 1 + } + | fuel + 1, .mdata _ expression => do + let decoded ← decodeStringListWithFuel fuel expression + pure { + strings := decoded.strings + expressionSteps := decoded.expressionSteps + 1 + } + | fuel + 1, expression => + let function := expression.getAppFn + if function.isConstOf ``List.nil then + pure { + strings := [] + expressionSteps := 1 + } + else if function.isConstOf ``List.cons then + let arguments := expression.getAppArgs + if arguments.size ≠ 3 then + throw "malformed embedded string list" + else + match arguments[1]!, decodeStringListWithFuel fuel arguments[2]! with + | .lit (.strVal value), .ok remaining => + pure { + strings := value :: remaining.strings + expressionSteps := remaining.expressionSteps + 1 + } + | .lit (.strVal _), .error message => throw message + | _, _ => throw "embedded certificate part is not a literal string" + else + throw "embedded certificate data is not a string list" + +private def readEmbeddedParts + (declarationNames : List Name) : CommandElabM String := do + unless embeddedCertificatePartMaximumExpressionSteps ≤ + embeddedCertificatePartFuel do + throwError "measured string-list expression bound exceeds decoder fuel" + let mut result := "" + let mut measuredMaximum := 0 + for declarationName in declarationNames do + let information ← getConstInfo declarationName + let some value := information.value? + | throwError "embedded certificate part has no value" + let decoded ← + match decodeStringListWithFuel embeddedCertificatePartFuel value with + | .ok decoded => pure decoded + | .error message => throwError message + if embeddedCertificatePartMaximumExpressionSteps < + decoded.expressionSteps then + throwError + "embedded string-list expression exceeds its measured maximum" + measuredMaximum := max measuredMaximum decoded.expressionSteps + result := result ++ String.join decoded.strings + unless measuredMaximum = + embeddedCertificatePartMaximumExpressionSteps do + throwError + "embedded string-list expression maximum does not match its committed bound" + pure result + +private def literalInteger : Literal → Int + | .positive index => Int.ofNat (index + 1) + | .negative index => -Int.ofNat (index + 1) + +private def clauseLiterals (clause : Clause) : Array Int := + clause.toArray.map literalInteger + +private def masterClauses : Array (Array Int) := + RawIncidence.masterFormula.toArray.map clauseLiterals + +private def masterBaseReferences : Array ℕ := + RawIncidence.masterReferences.toArray + +private def masterExcludedMasks : Array ℕ := + ((List.range 256).filter fun mask => + decide (RawIncidence.packedRow (UInt64.ofNat mask) ∉ + RawIncidence.canonicalRows)).toArray + +private def certificateProofType (clause : Expr) : Expr := + mkApp2 (mkConst ``Formula.Proves) + (mkConst ``RawIncidence.masterFormula) clause + +private def certificateClauseName (baseName : Name) (identifier : ℕ) : Name := + Name.str baseName s!"_c{identifier}" + +private def requireTheoremWithType (name : Name) (expectedType : Expr) : + MetaM Unit := do + let information ← getConstInfo name + match information with + | .thmInfo _ => pure () + | _ => throwError "imported certificate declaration is not a theorem: {name}" + unless information.type == expectedType do + throwError "imported certificate theorem has the wrong clause type: {name}" + +private def truthProof : Expr := + mkApp2 (mkConst ``Eq.refl [1]) (mkConst ``Bool) (mkConst ``Bool.true) + +private def clauseReflexivity (clause : Expr) : Expr := + mkApp2 (mkConst ``Eq.refl [1]) (mkConst ``Clause) clause + +private def checkedSourceProof (proof clause : Expr) : MetaM Expr := do + let inferredType ← Meta.inferType proof + unless inferredType == certificateProofType clause do + throwError "source-clause theorem did not infer the exact certificate clause type" + pure proof + +private def checkSourceMetadata + (clauses : Array (Array Int)) : Except String Unit := do + unless masterBaseReferences.size = 6333 do + throw "master reference count does not match its committed source metadata" + unless masterExcludedMasks.size = 249 do + throw "excluded-row count does not match its committed source metadata" + unless masterBaseReferences.size + masterExcludedMasks.size = clauses.size do + throw "source metadata does not partition the master formula" + let excludedRows := masterExcludedMasks.toList.map fun mask => + RawIncidence.packedRow (UInt64.ofNat mask) + unless excludedRows == RawIncidence.excludedRows do + throw "excluded-row masks do not match the master formula order" + +private def additionIndices + (initialClauseCount : ℕ) (additions : Array Addition) : + Except String (HashMap ℕ ℕ) := do + let mut indices : HashMap ℕ ℕ := {} + let mut previous := initialClauseCount + for index in [0:additions.size] do + let some addition := additions[index]? + | throw "certificate addition index is out of range" + unless previous < addition.identifier do + throw "certificate addition identifiers are not strictly increasing" + if indices.contains addition.identifier then + throw "certificate contains a duplicate addition identifier" + indices := indices.insert addition.identifier index + previous := addition.identifier + pure indices + +private def neededStageClauses + (initialClauseCount start stop : ℕ) (additions : Array Addition) + (indices : HashMap ℕ ℕ) : + Except String (Array ℕ × Array ℕ) := do + let mut initialSeen : HashMap ℕ Unit := {} + let mut importedSeen : HashMap ℕ Unit := {} + let mut initialIdentifiers := #[] + let mut importedIdentifiers := #[] + for index in [start:stop] do + let some addition := additions[index]? + | throw "certificate addition index is out of range" + for antecedent in addition.antecedents do + if antecedent = 0 then + throw "certificate antecedent identifier cannot be zero" + else if antecedent ≤ initialClauseCount then + unless initialSeen.contains antecedent do + initialSeen := initialSeen.insert antecedent () + initialIdentifiers := initialIdentifiers.push antecedent + else + let some antecedentIndex := indices[antecedent]? + | throw s!"certificate antecedent {antecedent} is not a retained addition" + unless antecedentIndex < index do + throw s!"certificate antecedent {antecedent} is not earlier than its use" + if antecedentIndex < start then + unless importedSeen.contains antecedent do + importedSeen := importedSeen.insert antecedent () + importedIdentifiers := importedIdentifiers.push antecedent + pure (initialIdentifiers, importedIdentifiers) + +private def sourceInitialClause + (clauses : Array (Array Int)) (identifier : ℕ) : MetaM GlobalClause := do + if identifier = 0 ∨ clauses.size < identifier then + throwError "initial certificate clause identifier is out of range" + let index := identifier - 1 + let some literals := clauses[index]? + | throwError "initial certificate clause index is out of range" + let clause := buildClause literals + if index < masterBaseReferences.size then + let some reference := masterBaseReferences[index]? + | throwError "master reference index is out of range" + let tag := RawIncidence.tagOfRef 0 0 reference + unless reference < 20659 ∧ tag.validB do + throwError "master reference metadata is not valid and in range" + unless clauseLiterals tag.toClause == literals do + throwError "master reference clause does not match the certificate formula order" + let proof := mkAppN (mkConst ``RawIncidence.masterBaseClause_proves) + #[mkRawNatLit reference, truthProof, truthProof, clause, + clauseReflexivity clause] + pure { + literals + expression := clause + proof := ← checkedSourceProof proof clause + } + else + let maskIndex := index - masterBaseReferences.size + let some mask := masterExcludedMasks[maskIndex]? + | throwError "excluded-row mask index is out of range" + let row := RawIncidence.packedRow (UInt64.ofNat mask) + unless mask < 256 ∧ decide (row ∉ RawIncidence.canonicalRows) do + throwError "excluded-row metadata is not noncanonical and in range" + unless clauseLiterals (RawIncidence.rowExclusionClause row) == literals do + throwError "excluded-row clause does not match the certificate formula order" + let proof := mkAppN (mkConst ``RawIncidence.canonicalRowClause_proves) + #[mkRawNatLit mask, truthProof, truthProof, clause, + clauseReflexivity clause] + pure { + literals + expression := clause + proof := ← checkedSourceProof proof clause + } + +private def importedAdditionClause + (additions : Array Addition) (indices : HashMap ℕ ℕ) + (clausePrefix : Name) (identifier : ℕ) : MetaM GlobalClause := do + let some index := indices[identifier]? + | throwError "imported certificate identifier is not a retained addition" + let some addition := additions[index]? + | throwError "imported certificate addition index is out of range" + if addition.literals.isEmpty then + throwError "empty clause cannot be imported as an intermediate theorem" + let clause := buildClause addition.literals + let theoremName := certificateClauseName clausePrefix identifier + requireTheoremWithType theoremName (certificateProofType clause) + pure { + literals := addition.literals + expression := clause + proof := mkConst theoremName + } + +private def reconstructStage + (clauses : Array (Array Int)) (additions : Array Addition) + (start stop : ℕ) (clausePrefix finalTheorem : Name) : MetaM Unit := do + unless start < stop ∧ stop ≤ additions.size do + throwError "certificate stage range is invalid" + unless (certificateClauseName clausePrefix 0).isInternal do + throwError "certificate clause names must be stable internal declarations" + match checkSourceMetadata clauses with + | .ok () => pure () + | .error message => throwError message + let indices ← + match additionIndices clauses.size additions with + | .ok indices => pure indices + | .error message => throwError message + let (initialIdentifiers, importedIdentifiers) ← + match neededStageClauses clauses.size start stop additions indices with + | .ok identifiers => pure identifiers + | .error message => throwError message + let mut database : HashMap ℕ GlobalClause := {} + for identifier in initialIdentifiers do + database := database.insert identifier + (← sourceInitialClause clauses identifier) + for identifier in importedIdentifiers do + database := database.insert identifier + (← importedAdditionClause additions indices clausePrefix identifier) + let context := mkConst ``RawIncidence.masterFormula + let mut derivedEmpty := false + for index in [start:stop] do + let some addition := additions[index]? + | throwError "certificate addition index is out of range" + let clause := buildClause addition.literals + let proof ← + match buildProofStep database addition.literals addition.antecedents + context clause with + | .ok proof => pure proof + | .error message => throwError message + if addition.literals.isEmpty then + unless index + 1 = additions.size ∧ stop = additions.size do + throwError "empty clause occurs before the final certificate addition" + addDecl <| Declaration.thmDecl { + name := finalTheorem + levelParams := [] + type := certificateProofType clause + value := proof + } + addDocStringCore finalTheorem + "Unsatisfiability of the 6,582-clause master coverage formula." + derivedEmpty := true + else + let theoremName := certificateClauseName clausePrefix addition.identifier + addDecl <| Declaration.thmDecl { + name := theoremName + levelParams := [] + type := certificateProofType clause + value := proof + } + database := database.insert addition.identifier { + literals := addition.literals + expression := clause + proof := mkConst theoremName + } + if stop = additions.size then + unless derivedEmpty do + throwError "final certificate stage does not derive the empty clause" + else if derivedEmpty then + throwError "nonfinal certificate stage derived the empty clause" + +/-- +Decode one contiguous range of the packed master certificate. Every nonempty +addition becomes a stable theorem constant for the following stage. +-/ +syntax "master_lrat_stage" + " initial_clauses " num " additions " num + " stage_start " num " stage_stop " num + " clause_prefix " ident " final_theorem " ident + " data_parts " ident* : command + +elab_rules : command + | `(master_lrat_stage + initial_clauses $initialCount:num additions $additionCount:num + stage_start $stageStartSyntax:num stage_stop $stageStopSyntax:num + clause_prefix $clausePrefixSyntax:ident + final_theorem $finalTheoremSyntax:ident + data_parts $parts:ident*) => do + let initialCount := initialCount.getNat + let additionCount := additionCount.getNat + let start := stageStartSyntax.getNat + let stop := stageStopSyntax.getNat + unless masterClauses.size = initialCount do + throwError "master formula clause count does not match certificate metadata" + let currentNamespace ← getCurrNamespace + let partNames := parts.toList.map fun part => + currentNamespace ++ part.getId + let encoded ← readEmbeddedParts partNames + let bytes ← + match decodeBase64 encoded with + | .ok bytes => pure bytes + | .error message => throwError message + let decodedAdditions ← + match decodeAdditions initialCount additionCount bytes with + | .ok result => pure result + | .error message => throwError message + let clausePrefix := currentNamespace ++ clausePrefixSyntax.getId + let finalTheorem := currentNamespace ++ finalTheoremSyntax.getId + Command.liftTermElabM do + reconstructStage masterClauses decodedAdditions start stop + clausePrefix finalTheorem + +end Erdos97Octagon.LRAT diff --git a/LeanPool/Erdos97ConvexOctagon/LRAT/Format.lean b/LeanPool/Erdos97ConvexOctagon/LRAT/Format.lean new file mode 100644 index 000000000..55744dcdb --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/LRAT/Format.lean @@ -0,0 +1,266 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Semantics + +/-! +# Versioned packed LRAT format + +Deletion records are omitted because retaining proved clauses is sound. Each +addition stores an identifier delta, signed literals, and backward distances +to its antecedent clauses. Natural numbers use unsigned base-128 varints and +the resulting bytes use unpadded base64. +-/ + +namespace Erdos97Octagon.LRAT + +/-- Maximum number of bytes accepted for one packed natural number. -/ +def packedVarintByteBound : ℕ := 16 + +/-- One reverse-unit-propagation addition. -/ +structure Addition where + /-- Strictly increasing LRAT clause identifier. -/ + identifier : ℕ + /-- Signed DIMACS literals in the derived clause. -/ + literals : Array Int + /-- Earlier clauses used for reverse unit propagation. -/ + antecedents : Array ℕ +deriving BEq + +/-- The current position in a packed byte sequence. -/ +structure Cursor where + /-- Complete packed certificate byte sequence. -/ + bytes : ByteArray + /-- Zero-based position of the next unread byte. -/ + position : ℕ + +private def base64Byte (value : ℕ) : Except String UInt8 := + if value < 26 then + pure (UInt8.ofNat (65 + value)) + else if value < 52 then + pure (UInt8.ofNat (97 + value - 26)) + else if value < 62 then + pure (UInt8.ofNat (48 + value - 52)) + else if value = 62 then + pure 43 + else if value = 63 then + pure 47 + else + throw "base64 value exceeds six bits" + +private def base64Value (character : UInt8) : Except String ℕ := + let value := character.toNat + if 65 ≤ value ∧ value ≤ 90 then + pure (value - 65) + else if 97 ≤ value ∧ value ≤ 122 then + pure (value - 97 + 26) + else if 48 ≤ value ∧ value ≤ 57 then + pure (value - 48 + 52) + else if character = 43 then + pure 62 + else if character = 47 then + pure 63 + else + throw s!"invalid base64 byte {value}" + +/-- Encode bytes as unpadded base64. -/ +def encodeBase64 (bytes : ByteArray) : Except String String := do + let mut output := ByteArray.empty + for block in [0:(bytes.size + 2) / 3] do + let offset := 3 * block + let some first := bytes[offset]? + | throw "base64 encoder index is out of range" + let a := first.toNat + output := output.push (← base64Byte (a / 4)) + if offset + 1 = bytes.size then + output := output.push (← base64Byte ((a % 4) * 16)) + else + let some second := bytes[offset + 1]? + | throw "base64 encoder second byte is missing" + let b := second.toNat + output := output.push (← base64Byte ((a % 4) * 16 + b / 16)) + if offset + 2 = bytes.size then + output := output.push (← base64Byte ((b % 16) * 4)) + else + let some third := bytes[offset + 2]? + | throw "base64 encoder third byte is missing" + let c := third.toNat + output := output.push (← base64Byte ((b % 16) * 4 + c / 64)) + output := output.push (← base64Byte (c % 64)) + match String.fromUTF8? output with + | some text => pure text + | none => throw "base64 encoder produced invalid UTF-8" + +/-- Decode unpadded base64. -/ +def decodeBase64 (text : String) : Except String ByteArray := do + let characters := text.toUTF8 + if characters.size % 4 = 1 then + throw "invalid one-character base64 tail" + let mut output := ByteArray.empty + for block in [0:(characters.size + 3) / 4] do + let offset := 4 * block + let some first := characters[offset]? + | throw "base64 decoder index is out of range" + let some second := characters[offset + 1]? + | throw "base64 decoder second byte is missing" + let a ← base64Value first + let b ← base64Value second + output := output.push (UInt8.ofNat (a * 4 + b / 16)) + if offset + 2 < characters.size then + let some third := characters[offset + 2]? + | throw "base64 decoder third byte is missing" + let c ← base64Value third + output := output.push (UInt8.ofNat ((b % 16) * 16 + c / 4)) + if offset + 3 < characters.size then + let some fourth := characters[offset + 3]? + | throw "base64 decoder fourth byte is missing" + let d ← base64Value fourth + output := output.push (UInt8.ofNat ((c % 4) * 64 + d)) + else if c % 4 ≠ 0 then + throw "nonzero padding bits in base64 tail" + else if b % 16 ≠ 0 then + throw "nonzero padding bits in base64 tail" + pure output + +private def appendVarintWithFuel : + ℕ → ℕ → ByteArray → Except String ByteArray + | 0, _, _ => throw "natural number exceeds packed varint bound" + | fuel + 1, value, output => + if value < 128 then + pure <| output.push (UInt8.ofNat value) + else + appendVarintWithFuel fuel (value / 128) + (output.push (UInt8.ofNat (value % 128 + 128))) + +private def appendVarint (value : ℕ) (output : ByteArray) : + Except String ByteArray := + appendVarintWithFuel packedVarintByteBound value output + +private def readByte (cursor : Cursor) : Except String (UInt8 × Cursor) := + match cursor.bytes[cursor.position]? with + | none => throw "unexpected end of packed certificate" + | some byte => pure (byte, { cursor with position := cursor.position + 1 }) + +private def readVarintWithFuel : + ℕ → ℕ → ℕ → Cursor → Except String (ℕ × Cursor) + | 0, _, _, _ => throw "packed varint exceeds decoder bound" + | fuel + 1, multiplier, value, cursor => do + let (byte, cursor) ← readByte cursor + let payload := byte.toNat % 128 + let value := value + multiplier * payload + if byte.toNat < 128 then + pure (value, cursor) + else + readVarintWithFuel fuel (multiplier * 128) value cursor + +private def readVarint (cursor : Cursor) : Except String (ℕ × Cursor) := + readVarintWithFuel packedVarintByteBound 1 0 cursor + +private def literalCode (literal : Int) : Except String ℕ := + if literal = 0 then + throw "zero is not a literal" + else if literal < 0 then + pure (2 * ((-literal).toNat - 1) + 1) + else + pure (2 * (literal.toNat - 1)) + +private def literalOfCode (code : ℕ) : Int := + if code % 2 = 0 then + Int.ofNat (code / 2 + 1) + else + -Int.ofNat (code / 2 + 1) + +private def appendLiterals + (literals : Array Int) (output : ByteArray) : Except String ByteArray := do + let mut output ← appendVarint literals.size output + for literal in literals do + output ← appendVarint (← literalCode literal) output + pure output + +private def appendAntecedents + (identifier : ℕ) (antecedents : Array ℕ) (output : ByteArray) : + Except String ByteArray := do + let mut output ← appendVarint antecedents.size output + for antecedent in antecedents do + if antecedent = 0 ∨ identifier ≤ antecedent then + throw s!"antecedent {antecedent} is not before clause {identifier}" + output ← appendVarint (identifier - antecedent) output + pure output + +private def appendAddition + (previous : ℕ) (addition : Addition) (output : ByteArray) : + Except String ByteArray := do + if addition.identifier ≤ previous then + throw "clause identifiers are not strictly increasing" + let output ← appendVarint (addition.identifier - previous) output + let output ← appendLiterals addition.literals output + appendAntecedents addition.identifier addition.antecedents output + +/-- Pack additions after the initial clause range. -/ +def encodeAdditions + (initialClauseCount : ℕ) (additions : Array Addition) : + Except String ByteArray := do + let mut previous := initialClauseCount + let mut output := ByteArray.empty + for addition in additions do + output ← appendAddition previous addition output + previous := addition.identifier + pure output + +private def readLiterals + (count : ℕ) (initialCursor : Cursor) : + Except String (Array Int × Cursor) := do + let mut cursor := initialCursor + let mut result := Array.mkEmpty count + for _ in [0:count] do + let (code, nextCursor) ← readVarint cursor + result := result.push (literalOfCode code) + cursor := nextCursor + pure (result, cursor) + +private def readAntecedents + (identifier count : ℕ) (initialCursor : Cursor) : + Except String (Array ℕ × Cursor) := do + let mut cursor := initialCursor + let mut result := Array.mkEmpty count + for _ in [0:count] do + let (distance, nextCursor) ← readVarint cursor + if distance = 0 ∨ identifier < distance then + throw "invalid backward antecedent distance" + result := result.push (identifier - distance) + cursor := nextCursor + pure (result, cursor) + +private def readAddition + (previous : ℕ) (cursor : Cursor) : Except String (Addition × Cursor) := do + let (identifierDelta, cursor) ← readVarint cursor + if identifierDelta = 0 then + throw "zero clause identifier delta" + let identifier := previous + identifierDelta + let (literalCount, cursor) ← readVarint cursor + let (literals, cursor) ← readLiterals literalCount cursor + let (antecedentCount, cursor) ← readVarint cursor + let (antecedents, cursor) ← readAntecedents identifier antecedentCount cursor + pure ({ identifier, literals, antecedents }, cursor) + +/-- Decode exactly `additionCount` packed additions and reject trailing bytes. -/ +def decodeAdditions + (initialClauseCount additionCount : ℕ) (bytes : ByteArray) : + Except String (Array Addition) := do + let mut previous := initialClauseCount + let mut cursor : Cursor := { bytes, position := 0 } + let mut additions := Array.mkEmpty additionCount + for _ in [0:additionCount] do + let (addition, nextCursor) ← readAddition previous cursor + additions := additions.push addition + previous := addition.identifier + cursor := nextCursor + if cursor.position = bytes.size then + pure additions + else + throw "trailing bytes after packed certificate" + +end Erdos97Octagon.LRAT diff --git a/LeanPool/Erdos97ConvexOctagon/LRAT/Semantics.lean b/LeanPool/Erdos97ConvexOctagon/LRAT/Semantics.lean new file mode 100644 index 000000000..9882f8599 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/LRAT/Semantics.lean @@ -0,0 +1,113 @@ +/- +Copyright (c) 2022 Mario Carneiro, 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Mario Carneiro, Egor Lyfar +-/ + +import Mathlib.Algebra.Group.Nat.Defs +import Mathlib.Data.List.Basic + +/-! +# Stable propositional semantics for LRAT certificates + +Adapted from `Mathlib/Tactic/Sat/FromLRAT.lean` (Apache-2.0). This +project-owned interface deliberately contains only the definitions and +soundness lemmas needed by the local LRAT elaborator. +-/ + +namespace Erdos97Octagon.LRAT + +/-- A positive or negative occurrence of a zero-based propositional variable. -/ +inductive Literal where + | positive : ℕ → Literal + | negative : ℕ → Literal + +/-- Translate a nonzero DIMACS integer into a literal. -/ +def Literal.ofInt (value : Int) : Literal := + if value < 0 then .negative (-value - 1).toNat else .positive (value - 1).toNat + +/-- Reverse the polarity of a literal. -/ +def Literal.negate : Literal → Literal + | .positive index => .negative index + | .negative index => .positive index + +/-- A clause is a disjunction represented as a list of literals. -/ +abbrev Clause := List Literal + +/-- A formula is a conjunction represented as a list of clauses. -/ +abbrev Formula := List Clause + +/-- A single clause viewed as a formula. -/ +def Formula.one (clause : Clause) : Formula := [clause] + +/-- Conjoin two formulas. -/ +def Formula.and (left right : Formula) : Formula := left ++ right + +/-- Every clause in `smaller` also occurs in `larger`. -/ +structure Formula.Subsumes (larger smaller : Formula) : Prop where + property : ∀ clause, clause ∈ smaller → clause ∈ larger + +theorem Formula.subsumesSelf (formula : Formula) : formula.Subsumes formula := + ⟨fun _ membership => membership⟩ + +theorem Formula.subsumesLeft + (formula left right : Formula) (h : formula.Subsumes (left.and right)) : + formula.Subsumes left := + ⟨fun _ membership => h.property _ <| List.mem_append.mpr <| Or.inl membership⟩ + +theorem Formula.subsumesRight + (formula left right : Formula) (h : formula.Subsumes (left.and right)) : + formula.Subsumes right := + ⟨fun _ membership => h.property _ <| List.mem_append.mpr <| Or.inr membership⟩ + +/-- A proposition-valued assignment of all propositional variables. -/ +abbrev Valuation := ℕ → Prop + +/-- The assertion that a literal is false in a valuation. -/ +def Valuation.falsifies (valuation : Valuation) : Literal → Prop + | .positive index => ¬ valuation index + | .negative index => valuation index + +/-- The assertion that at least one literal in a clause is true. -/ +def Valuation.satisfies (valuation : Valuation) : Clause → Prop + | [] => False + | literal :: clause => valuation.falsifies literal → valuation.satisfies clause + +/-- A clause is satisfied when its literals are not all false. -/ +theorem Valuation.satisfiesOfNotAllFalsified + (valuation : Valuation) (clause : Clause) + (h : ¬ List.Forall valuation.falsifies clause) : + valuation.satisfies clause := by + induction clause with + | nil => simp at h + | cons literal remaining inductionHypothesis => + intro hliteral + apply inductionHypothesis + intro hremaining + apply h + simpa using And.intro hliteral hremaining + +/-- The assertion that every clause in a formula is satisfied. -/ +structure Valuation.SatisfiesFormula + (valuation : Valuation) (formula : Formula) : Prop where + property : ∀ clause, clause ∈ formula → valuation.satisfies clause + +/-- A clause follows semantically from a formula. -/ +def Formula.Proves (formula : Formula) (clause : Clause) : Prop := + ∀ valuation : Valuation, valuation.SatisfiesFormula formula → + valuation.satisfies clause + +/-- Membership in a formula proves a clause. -/ +theorem Formula.provesOfSubsumes {formula : Formula} {clause : Clause} + (h : formula.Subsumes (Formula.one clause)) : formula.Proves clause := + fun _ satisfies => satisfies.property _ <| h.property _ <| List.Mem.head .. + +/-- The sound unit-propagation case split. -/ +theorem Valuation.propagateCases {valuation : Valuation} {literal : Literal} + (positiveCase : valuation.falsifies literal.negate → False) + (negativeCase : valuation.falsifies literal → False) : False := + match literal with + | .positive _ => negativeCase positiveCase + | .negative _ => positiveCase negativeCase + +end Erdos97Octagon.LRAT diff --git a/LeanPool/Erdos97ConvexOctagon/Main.lean b/LeanPool/Erdos97ConvexOctagon/Main.lean new file mode 100644 index 000000000..039d4a6ee --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Main.lean @@ -0,0 +1,23 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Classification + +/-! +# The convex-octagon case of Erdős problem 97 + +The headline theorem exported by this entry module is +`Erdos97Octagon.erdos97_convex_octagon`: among eight labelled points in convex +position, some point does not have four other points at a common distance. + +The proof reduces a hypothetical counterexample to a normalized balanced +incidence table, classifies its first row up to symmetry, and excludes all +seven canonical masks with one regenerable LRAT certificate checked by a +project-owned kernel-safe checker. + +This is the eight-point convex case only. It does not prove the general open +problem. +-/ diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean new file mode 100644 index 000000000..1d86bb39a --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean @@ -0,0 +1,9 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage15 + +/-! # Kernel-checked master coverage certificate -/ diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean new file mode 100644 index 000000000..a18ab71bd --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean @@ -0,0 +1,517 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 0. -/ +def masterCertificatePart0 : List String := [ + "AQQQFBYYArUztTIBBBAUFhoCtjO0MgEEEBQWHAK3M7MyAQQQFBYeArgzsjIBBBAUGBoCuTOxMgEEEBQYHAK6M7Ay", + "AQQQFBgeArszrzIBBBAUGhwCvDOuMgEEEBQaHgK9M60yAQQQFBweAr4zrDIBBBAWGBoCvzOrMgEEEBYYHALAM6oy", + "AQQQFhgeAsEzqTIBBBAWGhwCwjOoMgEEEBYaHgLDM6cyAQQQFhweAsQzpjIBBBAYGhwCxTOlMgIEEBgcHgLHM6My", + "AgQUFhgaAskzgzIBBBQWGBwCyjOCMgEEFBYYHgLLM4EyAQQUFhocAswzgDIBBBQWGh4CzTP/MQEEFBYcHgLOM/4x", + "AQQUGBocAs8z/TEBBBQYGh4C0DP8MQEEFBgcHgLRM/sxAgQWGBocAtMz+TEBBBYYGh4C1DP4MQEEFhgcHgLVM/cx", + "AQQWGhweAtYz9jEBBBgaHB4C1zP1MQEEICImKALXM+gxAQQgIiYqAtgz5zEBBCAiJiwC2TPmMQEEICImLgLaM+Ux", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 1. -/ +def masterCertificatePart1 : List String := [ + "Qa9BrkGtQaxBq0GpQahBp0GmQaVBpEGjQZgXATERFRYYGx0eICInKSstLjEyNDk7PD9AQ0VGS0xPUFNUV1hdX2Fi", + "ZWdoam9xc3R2eXp9ELNBskGxQbBBr0GuQa1BrEGqQalBqEGnQaZBpUGkQZgXATERFRYYGx0eICInKSstLjEyNDk7", + "PD9AQ0VGSk1PUVNUV1hcX2BiZWdoa29xc3R2eXp9ELRBs0GyQbFBsEGvQa5BrUGrQapBqUGoQadBpkGlQZgXATER", + "FRYYGx0eICInKSstLjAzNDk7PD9AQ0VGSk1PUVJVVllcX2FiZGdoa29xc3R3eHp9ELVBtEGzQbJBsUGwQa9BrkGs", + "QatBqkGpQahBp0GmQZgXATERFRYYGx0eICInKSstLjAzNDk7PD9AQ0VGSk1PUVJUV1hdX2FiZWZpam9xc3R3eHt8", + "ELZBtUG0QbNBskGxQbBBr0GtQaxBq0GqQalBqEGnQZgXATERFRYYGx0eICInKSstLjAzNDk7PD9AQ0VGSk1PUVJU", + 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"V1hdXmFjZGZpam9xcnR3eXt8ELhEt0S2RLVEtESzRLJEsUSvRK5ErUSsRKtEqkSpRJgXATEQFRcYGx0eISImKCst", + "LzAyNTk6PT9AQ0VGS0xPUVNUV1hdXmFiZGdpam9xc3R2eXt8ELlEuES3RLZEtUS0RLNEskSwRK9ErkStRKxEq0Sq", + "RJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VGS0xPUVNUVlldXmFiZGdpam9xc3R3eHt8ELpEuUS4RLdEtkS1", + "RLREs0SxRLBEr0SuRK1ErESrRJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VGS0xPUVJUV1ldXmFjZGdoam9x", +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData10.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData10.lean new file mode 100644 index 000000000..193044181 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData10.lean @@ -0,0 +1,517 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 10. -/ +def masterCertificatePart10 : List String := [ + "DhLRD7M8gRSaEgL4OwGHJq08vT6gPNcLzwT6O4kosGTdIIEe2jaMPdkm7T+BPftVj1OyV69Y1jylQIBAqQYBBjIf", + "KDU8QAfUAh2fFwGCQIRA0lkBDlcQHycxMzU7Q0dZZGpyG9UC/DuGPoA8gTzaO4k86TuHPuAYoBcUmD+hP5Y/kj6M", + "A58HnBKmX6FstBD3Pt8gjFTwTtsmAQ87EB8hJzEzNUNHWWFjaXkZ1gL6WNs7gTyxPL48ozzEPtUCmwShF5c/1FkB", + "+j2AGvU75ViibL4/0zyRP9lW8D/xTgEMdxUfMTM1P0NHZG55CPY79ziCPIsWlD7RPN0WlFkBBTwfKDVAINgCHW+d", + "BDUhhCajF+wOF9YPuDyfEgSEPKEH4guiBwnAPKU8Avob8liZPwGPA8ZYpGy5PeIglFMBB3YfKDM1QGMq2QI2IoU8", + "cJ4EAR7BPKQH5BikF+0OGNcPogfjC/09rXG5PKAS3lmHFMU+xz6APJADlj6lbPJe4yCHHvs+xxvHWLs9mj+QVN8m", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 11. -/ +def masterCertificatePart11 : List String := [ + "eAqWCM9CnSDLQuJCtGDNBr1EyyKaPQELFR8vPD9XWV9ha3cWlwgSx0GuBtwJpAHDK8NDo3jLQeEMmwbfA94X9EEB", + "xF6fCcdCz169XLJEAQcUH1dZYWt3EJgI4xzhF6UByEHAQb9B3QnEQ8xB4AOCBc9p9QTCKMQDAQc/OVdZX3d9GpkI", + "FMBB4hemAQsE3gnFK8VDzUGdBuEDgwXgF95gpwTKBAECmUKrA8cX9F7dXNpDAQcuHz5LV3d9EpoIoEKdQhXjF6cB", + "3wmBYKwDxivGQ+peyBfEYr9gykL5QsNgAQw7Hys5PVdZX2pvd30lmwgCwkHDQRbkF8tBqAHgCccrx0O8YMRgz0HQ", + "IvlCg0bJF58GhQWLYL9g+EGhLKJFz0LCRKFApkXHA/1m8UTnRPgE1AbtP70OAQsrHzk9V1lfam93fRblF6kBA8NB", + "xEHhCcgryEPQQaAG5AOGBQIBzkXYRftC7UHjW6kr40OXFQEKah85PVdZX293fQedCOIJySsBhkOAQ75gAQlvHzk9", + 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"a3F7fQL9EpVhAwp7FRcxNUFPU195AoATlEUCL0wQFRcdHiEiJygqLS8wMzQ5Ozw/QUNFRkpPUFJVVlldX2FiZGdp", + "a25xc3R2eHt9AoITkRgEL0QQFRcdHiEiJikqLS8wMjU5Ozw/QENHSk1PUVNVVlhcX2FiZGdpa25xc3R2eHt9AoYT", + "kxgBLycQFRcdHiEiKCotLzEyNDk7PT5AQ0VGSk1PUVJVVllcX2BjZGZpa29xc3R3eHt8AocTkxgBC2MdQ0tZXV9p", + "b3t9AogTnV8BDXsRFUFPVV1fY2VveX0CiRPZRAIvaBEVFxweICInKSotLzEzNDk6PD9AQ0VGS01OUVJVVlhdX2Bj", +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData12.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData12.lean new file mode 100644 index 000000000..3cf3820d7 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData12.lean @@ -0,0 +1,517 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 12. -/ +def masterCertificatePart12 : List String := [ + "ZGdrb3FydHZ5e30CixOUGAYvRBAVFx0eICMmKSssLzEyNTg6PT9AQ0dKTU9RUlRXWVxfYWJlZmlrbnFzdHZ4e30C", + "kROUGAQvVhAVFx0eICMmKSotLzEyNTg7PD9BQ0RHSkxPUVJVWV1eYGJkZ2lrb3FzdHZ4e30ClROUGAEvQRAVFx0e", + "ICImKSstLzEzNDk6PT5CREdKTU9RUlVWWVxfYGNkZ2hrb3FzdXZ4e3wClhOUGAcvdRAVFx0eISInKCotLzAzNDk6", + "PT9BQ0RGS0xPUVNVVlhdXmBiZGdpa29xcnZ5e3wCnROTGAEvaxAVFx0eICMmKSotLzEyNTg6PT9BQ0RGS0xPUVNU", + "V1hdXmBiZWZpb3FydHd5e3wCnhOTGAEvTBAVFx0eISInKCssLzAzNDk6PT9BQ0VGSk9RUlRXWV1eYGJlZmlrb3Fz", + "dHZ4e30CnxOTGAEFThEVHUICoBPKNgEvShEVFh0eICInKCstLzAzNTg6PT9BQ0RHTU5RUlVWWVxfYGNkZmlrb3Fy", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 13. -/ +def masterCertificatePart13 : List String := [ + "cXkKhnbyVaoa8VWeVqFWAfJX71f4VAEJMxEVIyctRFRnE8FV8lSLNrFVqxrdK8A/61TUV9VX/Dy3VZZY3CDdIP1x", + "vD7kVbZYAQkWICMnMEZRcXkXwT9IRgu6V/RV9ymsGvNV/CMEvhLphQGSNKwzAqtWpxfgCwH0V/FX+lQBCjwqMDlB", + "UVdZX3kF+TfUOtlvnFT7VgELKhUXICMnMDlRV3kRnjT2VeJVtFWiMrJY1nbJMoRZAdpx7BPZceBZnVT8VtpvARBl", + "FTpBRVFSVF9hYmZvcXJ2B+B+sAXAWJtvnW/fWJcWAQ9kIysvUVJUX2FiZm9xcnkH5VjmWEyHcpgWu1jNbwEPQxUX", + "IycrLzM9QVFXYXF5HJBYkVj6VU33VJoSx1X5VS7uhQHlVd8d01fGVaUy1lmMeqVWpFYBAqJZ2lfTVeFYswm8WMpo", + "AQ4zFRcjJysvMEFRV2FxeRKbEshV+lUv74UB1FfZOutVx1WmMtdZAfZXi3rsVakYrgLmBgEMTiAjJzBDRUZRcXJ5", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 14. -/ +def masterCertificatePart14 : List String := [ + "nVmmiwHrW/db7FupetEI+CWvXrVe6He0W+U58guJeOIEkHXyWd0MilyJGYtcwhABCmYQFyBCR1FWcXgQNeo3qjYC", + "xQGrW9kCBv9cqFsBoB+pJrodnFuVRwECHDUH3yGMRes3GKUj+lqSJAEMYhcpMUFCREdPWWBnC6Yj+DimM8FewF7k", + "d/FenVj6W+9brHoBDSkQFyAjJkJHUlZgZ3ga7TetNqcjGtwC+F35OKczyAGuWxUBhlu2Xvwl5XeYR+w19BzpOc5c", + "iXXmBMEU1RePXAEIeBAXIEJHUXEYhQLuN642rAfJAa9boQKriwEMBgSsMZ5dqDPdAgGtJsRfxV/GX5lHinXvELou", + "AQ9lECMoMTI0QkRTYGZpcXkTiVudW+83rzaXBpUewF6kXZsQjluCEaYSg12tB48OlVyYXJtc0oIBAQ1mEBcjMUFC", + "RFFTVnF5GK2LAfA3sDaYBoRdhV2BW5JbwlrAWqYfAaZdpF3GXrten1vBFPJV7yrsOZMx8163EQEMYhcpMUJHUVNY", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 15. -/ +def masterCertificatePart15 : List String := [ + "eRObCymgBYhigmCvHuod+WHiY+sc+iHvPgEPp2L1eaBjimPgFQEOcBEXICInKThER2hydXkL8C+jYiqiY6Fj80SX", + "Qqgp8D7NZKR6AQllFRcgKUdTVmYdBLZgFCuiBZ0Lmwf0RIRgimKHYAKPYM1g5GOqYrhg/WEBowriFetijGPwX48b", + "qSn6Y7Zh2IcBAQlBERUXJy9HdXkU8V+QG6Zi4kCnYohgt2CMYPpj+2PNYtJiowW8fYFg8j7TZO4cAaxiAQhTFRcg", + "KUdWZhS4YBYGLaQFnwuGYIxiAqtirWLvHP4hAe1i7GLkFc9h1GHgFwEPQREVFyAnKThHVWNlaG95Eu1f81+SG4pg", + "siieB9hLLv1j90SbQtQFrCn0PtFk33rLYeQTAQssFyAiJylHVVlqeRP1Pi+mBbMoqWKVYP9hgWLoHKAptWP8IrFj", + "0GHMYRgB3xfuYgEHKRUXIEdWZh67YLQoMKcF+USdQhmgB4lgA+9j82MJoguAYoJi6QKPYvULnGATAvBitREBmn2u", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 16. -/ +def masterCertificatePart16 : List String := [ + "D7NpjI0BsgPLgQHEZ8VnhWWIZes0AQJmRAqCA+ArOokDky7YRaMcH/1kAQEHKSInMERieCmDA+ErO4oDlC7ZRaQc", + "AZUKyAvuCKs7pz2bZ5Vl7jT8L6towmisaPRk9oEB4SGhZ6Nn9mX7ZdMVm0WLZchnxWfYHi/yDexJ9ocBtAOQZvMY", + "9SEBBC4iJygKhAPiKzyLA5Uu2kWlHLVptGnkIQEHMyInMERieBaFA+MrPYwDli7bRaYcvGQCA5cKygvwCAGuMOg0", + "qT22ZaNnx2cxnWIBBmIiJzBEeBaGA+QrPo0Dly7cRQSYCgHLZ81nAwLpNK0wHvVngmmBafmBAZUtvxkBB0IpMDlE", + "VVkZhwPlKz+OA5gu3UWoHPhosWUF+WazDas9mQr4ZKVnjWn5aPNjlEfwSYM8+ocBsgLrYgEFJyIwRHgfiAPmK0CP", + "A5ku3kWpHAaaCs0L8wisPQKLZYEw8zSvMPlkqGeQZQHTZ7wjr2mwadohu2iSBYRpg2m1ggEBBkEiMERieCqJA+cr", + 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100644 index 000000000..197504cff --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean @@ -0,0 +1,517 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 2. -/ +def masterCertificatePart2 : List String := [ + "c3R2eXt8ELtEukS5RLhEt0S2RLVEtESyRLFEsESvRK5ErUSsRJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VG", + "S0xPUVJUV1ldXmFjZGZpam9xc3R3eHt8ELxEu0S6RLlEuES3RLZEtUSzRLJEsUSwRK9ErkStRJgXATEQFRcYGx0e", + "ISImKCstLzAyNTk6PT9AQ0VGS0xPUVNUV1hcX2FjZGZpa25xcnR3eXp9EL1EvES7RLpEuUS4RLdEtkS0RLNEskSx", + "RLBEr0SuRJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VGS0xPUVNUV1hcX2FiZGdpa25xc3R2eXp9EL5EvUS8", + "RLtEukS5RLhEt0S1RLREs0SyRLFEsESvRJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VGS0xPUVNUVllcX2Fi", + "ZGdpa25xc3R3eHp9EL9EvkS9RLxEu0S6RLlEuES2RLVEtESzRLJEsUSwRJgXATEQFRcYGx0eISImKCstLzAyNTk6", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 3. -/ +def masterCertificatePart3 : List String := [ + "V1hdX2FiZWZpam9xc3V2eHt8EMRHw0fCR8FHwEe/R75HvUe7R7pHuUe4R7dHtke1R5gXATEQFRYYGx0fICInKSst", + "LjEzNTg6PD9AQ0RHS0xPUVJUV1hdX2FjZGZpa25xcnV2eXp9EMVHxEfDR8JHwUfAR79Hvke8R7tHuke5R7hHt0e2", + "R5gXATEQFRYYGx0fICInKSstLjEzNTg6PD9AQ0RHSk1PUVNUVlldXmFiZGdoa29xcnV2eXt8EMZHxUfER8NHwkfB", + "R8BHv0e9R7xHu0e6R7lHuEe3R5gXATEQFRYYGx0fICInKSstLjEzNDg7PD9AQ0RHSk1PUVNUVlldXmFiZWdoam9x", + "cnV2eXt8EMdHxkfFR8RHw0fCR8FHwEe+R71HvEe7R7pHuUe4R5gXATEQFRYYGx0fICInKSstLjEzNDg7PD9AQ0RH", + "Sk1PUVNUVlldXmFiZWZpam9xcnV3eHt8EMhHx0fGR8VHxEfDR8JHwUe/R75HvUe8R7tHuke5R5gXATEQFRYYGx0f", + 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"A7sYvBjFN/YWvxb/GJUE5xbDFtszohgC/0ubGwOvGYEzxRfQNJsy0xoBBjMYKDlTcwI16BYBCW4dHyctL0defAWU", + "F5MX0jTRNMcXARIfFRsdIyctLzI5R1NdXmJnaXwNzBiQTKYyAf8ZjzeXF9M0yBeNLIMYgBiuLgEKaRUWJy0vQlNd", + "YhcLECdHF4AEBM4WCgODGfoWvTunMsEYgBrpFsgZtxm6GZMznxsBAQUoGFNocwOoGKYY6hYBCRUWJy0vQlNdYgoN", + "GQIBCsoWhRnvFu0WoxgBBWgYM1NzBAvuFvAWpBgBDyIRFhsgJyotQlNdXmJzdhGIG4cZSxsB0hbEGMMY0xadBMAV", +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean new file mode 100644 index 000000000..213b9af15 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean @@ -0,0 +1,517 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 4. -/ +def masterCertificatePart4 : List String := [ + "vRWLGIgYxxTrMaUZAQhTFictL0JdYiJMHCwVEAPjAbAbWbE0sDQBzRaUGcI7/xYED8QYxhgiwxYHlTedF9k0zheg", + "Pr8axBq7LugY6BrzEAEGPicvR15nA5wXnheWNwEPQBggKDA7R0tOUVldYWdpBagBpxm2Lvk+rxgBE28UFiAnKCov", + "Oz9CR1FVWV1iZ2kPmDfeFuYBTx9cjTWpBaQ0iRiCGgH1MZkWsRoBDDsUFictL0JWXWJnaSYExxbXFucBUCBdMJIa", + "ohqHGYMZ/xgxjRqqBbQ03EzKGAPdNKU0AZ4X7BlGC9w0kDWgPsowiRjEGrQa6hjYGdAWkwgBBDAzOjwD3xriGtEW", + "AQtWFBYnLS9CXWJnaRfJFgbpAVJfMpQapBqJGYUZM48atjTMGAXfNAKSGAG6FtIa8Bi6FAEFWBgoM3MDthiyGPcW", + "AQpnFBYnLS9CXWJpCNsWCCSHGYMZAdkWAgESOREUGx0jJy0vM0JHTFReYmZzDNUWYfEY8Bj0GNEPsxKvAckahRqE", + 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"EwEHXREVIS45Oh1uAQcWUK8G1yDTII9TlRyWHJkdnB2XHcEBGwbDRAjBROId3zjARP8e0QTDHtEbhhytAwEGOREV", + "IS46Dm8XUQGOAQII2CDUILsbxBvzH/EfuBwBBTwRFTg6BMMBtSCxIJwcAhZiERUbHSMpKzE4PT9BQkdPUmBrb3R9", + "CeIeiERT2hy7H44exRnoH44VAQlKERUhLjE6XXsh6h30HVIEG1W0BgPGRJw6xUSUU5I6i0SBH54dnB2hHZsdviCM", + "RN4bILo56BumAeQ43CAB4UHFH8Yf8QcBCHsRFSEuMTpdHVMFVrUGBJVTkzqSRIxEnx2dHaIdvyAhuznpG4pE3SDV", +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean new file mode 100644 index 000000000..c044190dc --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean @@ -0,0 +1,517 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 5. -/ +def masterCertificatePart5 : List String := [ + "IAHJRIIf9xq1HrMesR7JFtc2jCABB10RFSEuMToXVAZXtgYFllOUOpNEjUSgHZ4dox3AICLqG4tE1iAB6R3rHchE", + "ykSDHwEGMREVIS46KFVXBx5YtwYGl1OVOpREoR2fHaQdnh3BIOsb3yDXIAGVAb8dyjnDQ8Eb9UzfOfof+B+1A/U8", + "sx67HJIe3xzmHucf7B+tHPYVyx4BCUoRFSErLjpdeynuHVZYCB8BB9IgzCBZuAbFIKc/5RugOslEykSYU+Aghx+F", + "CYYfoh2gHZ8djETrBMwbJJwgxjnoONs+th61Hvwfyxj1B+ce7B/EEwENQhEVGyMpKzhAS0xRUgiyIFn2GJYelR7h", + "HOAc6B4BCHsRFSErLjpdKlpYCiEDW7oGCc4g1CDHIKI6y0SaU6k/5xviIKEdoh2kHa46wDkmpz8CvkjORIofiR8B", + "3BvqQYUfyx6qIMsfzB/ENrge/h+9HMUTAQddERUhKy46FFkLBFy7BgrIIKM6m1OjHaUdJwHuHfAdzUTPRIwfih+L", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 6. -/ +def masterCertificatePart6 : List String := [ + "Ky5MU1UF6waVI40h9T/LJgEHIhEbHSYrLgPMJrYm9j8BCzERGx0hIyk9PkNHA+s/mSDnAQEwZREUFhgbHR8hIyYp", + "KywuMDI1OTs9PkBDREdLTE9QU1VWWF1fYWJnam9xcnR3eXp9AocivBUBBx9AREtMZ3cqiiYa6wyBJsAivyKVJJMk", + "mSSyBpEM4QvVQAoFOvUmjiIEA5Eh3STvPZMEwyayJpcjniOYQOgi3zwCqSanJqwm4STiJIZB6USMJagkAQEKPREV", + "Gx0rLT5RXQPpSY9BxwMBCl0WHiImKzM+U1YRtAaTDOML9SKAI58M6ybeAtQm0iaSP/I94SUBygSJAqEhAQZAREtM", + "Z3cajSbuDIQmwyLCIpgkliScJLUGlAzkCx0DoAzsJhmBI/Yi9SLFP5EFyCQB8gahA/ggAQNgZ24EiwyMIo8iwiUB", + "DVwRFRsdKy0vQUtMVmcM9AajA5YjmiOCIY9Bk0GUDMkjx0ChSgEBDUcRFRsdIiYrQUtMZ3cS3D+ZJPdY4gLWJtgm", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 7. -/ +def masterCertificatePart7 : List String := [ + "KvcqhQbuROVFwU3iKKcr3yiVVIJDgCv/GAEGKxAVFmd3JbUCogIMCQQjGesE5CytDJsP4wWOBYsoDooGjSrqJ74o", + "wgKMKO4n+SoCuywBnirtQ7skyCsSnEXgKOYo70TKRqorAQUQFRZndxy2AuwE5SwkowIPDQqcD+QFjwWLBgWMKOsn", + "jirDAu8n+ir5KgEV6Aa9LNcnzyvQK5hGAQlWFRYqL1JUZ3cT0CvRK9IrAaQCJRvZCOkG4Q+NRY0o7SfFLL8oxAK5", + "J9sBoCoBBlcRFVJndwq4Ap4PJqUCsCe/ArkopAPeBpQoAQxjERUdIyktL0VNT2cD7D3mJvsFAQgpFRYqL1JndyO6", + "AiinAgSyDJESsicC3AjxXo8SwQID7Aa7KL8q5A+mA+8MzSu/JMVR0SnLKYUsAcAqhSj3D7BH8ij8Bd9Fn1CkLAEH", + "LxUWKlJndyO7AqgCKR8FswySEgPdCPJeBAHpBckslirEKMgCxCfzEfEn7CrrKu0qGrQQzUXOK/srkinYTPMo9USw", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 8. -/ +def masterCertificatePart8 : List String := [ + "FRcbHR4hIiYoKy0vMDI1OTs8P0BDRUZKTU9RUlRXWVxfYWNkZ2hrbnFzdHZ5fQLYB5shATA7ERUWGx0eICMmKSst", + "LjAzNTg8P0FCRUdKTE9QUlRXWV1fYWJkZmlrb3FzdHd4en0C2QefJAIwchEUFhsdHyAjJikrLS4wMzU4Ozw/QUNE", + "R0pNTlBSVFdZXV9hYmVnaGpvcXV2eXt8AtsHkSABMGkRFBYbHR8gIyYpKy0uMDM1ODs8P0BDREdKTU9RUlVXWF1e", + "YWJkZ2pvcXJ1dnl7fALcB5EgAzB8ERQWGx0fICMmKSstLjAzNTg7PD9AQ0RHSk1PUVJUV1ldXmFiZWdoam9xcnV2", + "eXsC3weRIAEwXREUFhsdHyAjJikrLS4wMzU4Ozw/QENER0pNT1FSVFdZXmFiZWZpam9xcnV3eHt8AuAHkSABMHkR", + "FBYbHR8gIyYpKy0uMDM1ODs8P0BDREdKTU9RUlVXWFxfYWJkZ2lrbnFydXZ6fQLhB5EgAzB1ERQWGx0fICMmKSst", + 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All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated packed master-certificate data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate data part 9. -/ +def masterCertificatePart9 : List String := [ + "Gx0fICMnKCssLzAzNTg7PT5BQkVHS05QU1RWWV1fYWJlZmlqb3FydHd5en0C8g/1JwEwNREUFhsdHyAjJygrLC8w", + "Mzg7PT5BQkVHSkxPUFJVVlldX2FiZGdpa25xc3R2eXp9AvMP8ycFMHkQFRcbHR4hIicoKywvMTI1OTo8P0BDRUZK", + "TU9RU1RXWF1eYGNkZmlrb3FydHZ7fQL4D44rAzB8EBUXGx0eICMmKCstLzAyNTk7PD9BQkVGSk1PUVJUV1ldXmFj", + "ZGdoam9xc3R2eXsC+w+jKQMwfBEUFhsdHyAiJykqLS8wMzU4Oz0+QENER0tMT1FSVVZZXV5hY2RmaWpvcXJ1d3h7", + "Av4P4CYBMDsQFRYbHR8hIicoKy0uMTI1OTw+QENER0tMT1BSVFdZXV9hY2RmaWpvcXN1dnh6fQL/D9ImAzBvEBUX", + "Gx0eICImKSstLzEyNTk7PD5AQ0RHSk1PUVNUVllcX2FiZGdoa3FzdXZ4en0CghCgKQIwaxEVFhsdHiAiJykqLS8w", + 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"B5kH2wvbGJsX5A4Pzg+wPPE78Dv8O448/hOEJpcShijCOqNAoUCJPYc9hT3kVek/rVjVOs1Trz2DP/4djz/OWZgI", + "AQZoHyg1PEAr0QKZB5oH3AsuGhYCaJYEjTz9O4883BicF+UOEM8PsTz/E5gShyjDOqRAokCKPYg9hj0Btj6tPNBX", + "9T3qP4JZyBedbI0/hzSQP8w8h2jHBQEIch8oMjU5PEAp0gIBLxtplwQXA/c73RidF+YOEdAPsjyAFJkStz7ZNqAH", + "oTyuPIs9gj3YJuw/gD2OPK1k9j2PPtw+jj+KVrZdgln0G4sbuz2kQPQFAQc5HygyNTxAKtMCMBxqmAQYBN4Ynhfn", +] + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean new file mode 100644 index 000000000..f3cb661b4 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean @@ -0,0 +1,87 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Format + +/-! # Generated master-certificate manifest -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Packed certificate format version. -/ +def masterCertificateFormatVersion : ℕ := 1 + +/-- Number of initial clauses. -/ +def masterCertificateInitialClauses : ℕ := 6582 + +/-- Number of retained LRAT additions. -/ +def masterCertificateAdditions : ℕ := 11139 + +/-- Number of omitted LRAT deletion records. -/ +def masterCertificateDeletions : ℕ := 8677 + +/-- Total number of actions in the generated LRAT text. -/ +def masterCertificateActions : ℕ := 19816 + +/-- Number of packed bytes. -/ +def masterCertificatePackedBytes : ℕ := 542830 + +/-- Number of base64 characters. -/ +def masterCertificateEncodedCharacters : ℕ := 723774 + +/-- Number of generated data modules. -/ +def masterCertificateDataModules : ℕ := 17 + +/-- Number of sequential proof-stage modules. -/ +def masterCertificateStageModules : ℕ := 16 + +/-- Maximum retained additions reconstructed in one proof stage. -/ +def masterCertificateMaximumAdditionsPerStage : ℕ := 700 + +/-- Retained additions reconstructed by each sequential proof stage. -/ +def masterCertificateStageAdditionCounts : List ℕ := + [700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 639] + +/-- Zero-based addition boundaries of the sequential proof stages. -/ +def masterCertificateStageBoundaries : List ℕ := + [0, 700, 1400, 2100, 2800, 3500, 4200, 4900, 5600] ++ + [6300, 7000, 7700, 8400, 9100, 9800, 10500, 11139] + +/-- Maximum measured bytes used by one packed natural number. -/ +def masterCertificateMaximumVarintBytes : ℕ := 3 + +/-- Decoder byte bound for one packed natural number. -/ +def masterCertificateVarintByteBound : ℕ := 16 + +/-- Maximum string literals emitted in one generated data part. -/ +def masterCertificateMaximumStringsPerPart : ℕ := 500 + +/-- Maximum measured compiled-expression steps used by one generated data part. -/ +def masterCertificateMaximumStringListExpressionSteps : ℕ := 616 + +/-- Structural fuel used to decode one generated string-list part. -/ +def masterCertificateStringListFuel : ℕ := 640 + +/-- SHA-256 of the generated DIMACS formula. -/ +def masterCertificateCnfSha256 : String := + "08c463f6ab9db9cc6925f59fe09a5db880c0b8e4acbecb36258b2e92572c3ae4" + +/-- SHA-256 of the normalized LRAT text. -/ +def masterCertificateLratSha256 : String := + "9775d8f16020ea79871936dcdc064a45e4f8097e054c7322c76a5f049e8551e7" + +/-- SHA-256 of the packed certificate bytes. -/ +def masterCertificatePackedSha256 : String := + "d5646632bb06c66f6f8caf638cbc7cdcdcd127e81ae88b2985b6d3990a4bf932" + +/-- Pinned CaDiCaL source commit. -/ +def masterCertificateCadicalCommit : String := + "c60730422e758ef1cebe7aeddf2dda31c996bf04" + +/-- Pinned drat-trim source commit. -/ +def masterCertificateDratTrimCommit : String := + "2e3b2dc0ecf938addbd779d42877b6ed69d9a985" + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean new file mode 100644 index 000000000..da254735d --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean @@ -0,0 +1,57 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Elab +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData0 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData1 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData2 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData3 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData4 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData5 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData6 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData7 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData8 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData9 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData10 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData11 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData12 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData13 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData14 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData15 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData16 + +/-! # Master-certificate proof stage 0 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 0 + stage_stop 700 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean new file mode 100644 index 000000000..4f12daa83 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage00 + +/-! # Master-certificate proof stage 1 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 700 + stage_stop 1400 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean new file mode 100644 index 000000000..b07113e3b --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage01 + +/-! # Master-certificate proof stage 2 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 1400 + stage_stop 2100 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean new file mode 100644 index 000000000..d8bcf8eed --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage02 + +/-! # Master-certificate proof stage 3 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 2100 + stage_stop 2800 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean new file mode 100644 index 000000000..33e6ea83d --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage03 + +/-! # Master-certificate proof stage 4 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 2800 + stage_stop 3500 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean new file mode 100644 index 000000000..a0336b6ff --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage04 + +/-! # Master-certificate proof stage 5 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 3500 + stage_stop 4200 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean new file mode 100644 index 000000000..31f24b1e8 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage05 + +/-! # Master-certificate proof stage 6 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 4200 + stage_stop 4900 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean new file mode 100644 index 000000000..907bdc25d --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage06 + +/-! # Master-certificate proof stage 7 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 4900 + stage_stop 5600 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean new file mode 100644 index 000000000..83b3bd82a --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage07 + +/-! # Master-certificate proof stage 8 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 5600 + stage_stop 6300 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean new file mode 100644 index 000000000..c68e2d6fe --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage08 + +/-! # Master-certificate proof stage 9 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 6300 + stage_stop 7000 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean new file mode 100644 index 000000000..38f1810c6 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage09 + +/-! # Master-certificate proof stage 10 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 7000 + stage_stop 7700 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean new file mode 100644 index 000000000..b3f0b4795 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage10 + +/-! # Master-certificate proof stage 11 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 7700 + stage_stop 8400 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean new file mode 100644 index 000000000..48640b7f2 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage11 + +/-! # Master-certificate proof stage 12 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 8400 + stage_stop 9100 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean new file mode 100644 index 000000000..d35b6806b --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage12 + +/-! # Master-certificate proof stage 13 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 9100 + stage_stop 9800 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean new file mode 100644 index 000000000..e0ae4b56c --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage13 + +/-! # Master-certificate proof stage 14 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 9800 + stage_stop 10500 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean new file mode 100644 index 000000000..c0ecba790 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean @@ -0,0 +1,40 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage14 + +/-! # Master-certificate proof stage 15 -/ + +namespace Erdos97Octagon.RawIncidence + +master_lrat_stage + initial_clauses 6582 + additions 11139 + stage_start 10500 + stage_stop 11139 + clause_prefix masterCertificateClause + final_theorem masterFormula_unsatisfiable + data_parts + masterCertificatePart0 + masterCertificatePart1 + masterCertificatePart2 + masterCertificatePart3 + masterCertificatePart4 + masterCertificatePart5 + masterCertificatePart6 + masterCertificatePart7 + masterCertificatePart8 + masterCertificatePart9 + masterCertificatePart10 + masterCertificatePart11 + masterCertificatePart12 + masterCertificatePart13 + masterCertificatePart14 + masterCertificatePart15 + masterCertificatePart16 + + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterFormula.lean b/LeanPool/Erdos97ConvexOctagon/MasterFormula.lean new file mode 100644 index 000000000..1da26037f --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterFormula.lean @@ -0,0 +1,164 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.RowSymmetry + +/-! +# Master coverage formula + +The master formula combines every valid shared semantic clause with one clause +excluding each noncanonical first row. It has 64 variables and 6,582 clauses. +-/ + +namespace Erdos97Octagon.RawIncidence + +open LRAT + +/-- References of every valid shared semantic clause, in generator order. -/ +def masterReferences : List ℕ := + (List.range 20659).filter fun reference => + (tagOfRef 0 0 reference).validB + +/-- The seven canonical first rows viewed as finite sets. -/ +def canonicalRows : List (Finset Vertex) := + List.ofFn fun orbit : Fin 7 => packedRow (canonicalRowMask orbit) + +/-- Every eight-bit row, in numeric mask order. -/ +def allPackedRows : List (Finset Vertex) := + (List.range 256).map fun mask => packedRow (UInt64.ofNat mask) + +/-- The 249 rows outside the seven canonical symmetry classes. -/ +def excludedRows : List (Finset Vertex) := + allPackedRows.filter fun row => row ∉ canonicalRows + +/-- A clause which is false precisely when row one equals `row`. -/ +def rowExclusionClause (row : Finset Vertex) : Clause := + List.ofFn fun target : Vertex => + if target ∈ row then + .negative (varIndex 1 target) + else + .positive (varIndex 1 target) + +/-- All valid shared clauses. -/ +def masterBaseFormula : Formula := + masterReferences.map fun reference => (tagOfRef 0 0 reference).toClause + +/-- Clauses restricting row one to the seven canonical rows. -/ +def canonicalRowFormula : Formula := + excludedRows.map rowExclusionClause + +/-- The single formula checked by the committed LRAT certificate. -/ +def masterFormula : Formula := + masterBaseFormula ++ canonicalRowFormula + +/-- A valid in-range shared reference gives its clause directly from the master formula. -/ +theorem masterBaseClause_proves + (reference : ℕ) (hrange : decide (reference < 20659) = true) + (hvalid : (tagOfRef 0 0 reference).validB = true) + (clause : Clause) (hclause : clause = (tagOfRef 0 0 reference).toClause) : + masterFormula.Proves clause := by + subst clause + intro valuation hsatisfies + apply hsatisfies.property + rw [masterFormula, List.mem_append, masterBaseFormula, List.mem_map] + apply Or.inl + refine ⟨reference, ?_, rfl⟩ + rw [masterReferences, List.mem_filter] + exact ⟨List.mem_range.mpr (of_decide_eq_true hrange), hvalid⟩ + +/-- A noncanonical in-range row mask gives its exclusion clause from the master formula. -/ +theorem canonicalRowClause_proves + (mask : ℕ) (hrange : decide (mask < 256) = true) + (hnoncanonical : + decide (packedRow (UInt64.ofNat mask) ∉ canonicalRows) = true) + (clause : Clause) + (hclause : clause = rowExclusionClause (packedRow (UInt64.ofNat mask))) : + masterFormula.Proves clause := by + subst clause + intro valuation hsatisfies + apply hsatisfies.property + rw [masterFormula, List.mem_append, canonicalRowFormula, List.mem_map] + apply Or.inr + refine ⟨packedRow (UInt64.ofNat mask), ?_, rfl⟩ + rw [excludedRows, List.mem_filter] + refine ⟨?_, hnoncanonical⟩ + rw [allPackedRows, List.mem_map] + exact ⟨mask, List.mem_range.mpr (of_decide_eq_true hrange), rfl⟩ + +private theorem rowExclusionClause_satisfied + (Q : OctagonIncidence) (row : Finset Vertex) + (hne : Q.targets 1 ≠ row) : + (valuation Q.targets).satisfies (rowExclusionClause row) := by + apply LRAT.Valuation.satisfiesOfNotAllFalsified + intro hall + apply hne + ext target + rw [List.forall_iff_forall_mem] at hall + have hmember : + (if target ∈ row then + LRAT.Literal.negative (varIndex 1 target) + else + LRAT.Literal.positive (varIndex 1 target)) ∈ rowExclusionClause row := by + rw [rowExclusionClause, List.mem_ofFn] + exact ⟨target, rfl⟩ + by_cases htarget : target ∈ row + · have hfalsified := hall _ hmember + simpa [htarget, LRAT.Valuation.falsifies, valuation_variable] using hfalsified + · have hfalsified := hall _ hmember + simpa [htarget, LRAT.Valuation.falsifies, valuation_variable] using hfalsified + +private theorem masterBaseFormula_satisfied + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) + (hN : Q.Normalized) (hSparse : Q.PairSparse) (hBalanced : Q.Balanced) : + (valuation Q.targets).SatisfiesFormula masterBaseFormula := by + constructor + intro clause hclause + rw [masterBaseFormula, List.mem_map] at hclause + obtain ⟨reference, hreference, rfl⟩ := hclause + have hparts := List.mem_filter.mp hreference + exact (tagOfRef 0 0 reference).satisfies hC hR hN hSparse hBalanced + ((tagOfRef 0 0 reference).valid_of_validB hparts.2) + (tagOfRef_baseBranchValid Q (List.mem_range.mp hparts.1)) + +/-- The canonical-row clauses are satisfied for one selected canonical orbit. -/ +theorem canonicalRowFormula_satisfied + (Q : OctagonIncidence) (orbit : Fin 7) + (hrow : Q.targets 1 = packedRow (canonicalRowMask orbit)) : + (valuation Q.targets).SatisfiesFormula canonicalRowFormula := by + constructor + intro clause hclause + rw [canonicalRowFormula, List.mem_map] at hclause + obtain ⟨row, hrowExcluded, rfl⟩ := hclause + apply rowExclusionClause_satisfied + intro hequal + have hcanonical : row ∈ canonicalRows := by + rw [← hequal, hrow] + unfold canonicalRows + rw [List.mem_ofFn] + exact ⟨orbit, rfl⟩ + have hnotCanonical : row ∉ canonicalRows := + of_decide_eq_true (List.mem_filter.mp hrowExcluded).2 + exact hnotCanonical hcanonical + +/-- Every hypothetical normalized counterexample with canonical row one +satisfies the master formula. -/ +theorem masterFormula_satisfied + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) + (hN : Q.Normalized) (hSparse : Q.PairSparse) (hBalanced : Q.Balanced) + (orbit : Fin 7) + (hrow : Q.targets 1 = packedRow (canonicalRowMask orbit)) : + (valuation Q.targets).SatisfiesFormula masterFormula := by + constructor + intro clause hclause + rw [masterFormula, List.mem_append] at hclause + rcases hclause with hbase | hcanonical + · exact (masterBaseFormula_satisfied hC hR hN hSparse hBalanced).property + clause hbase + · exact (canonicalRowFormula_satisfied Q orbit hrow).property clause hcanonical + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/Obstructions.lean b/LeanPool/Erdos97ConvexOctagon/Obstructions.lean new file mode 100644 index 000000000..6db8beaa7 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Obstructions.lean @@ -0,0 +1,155 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CycleStrip +import LeanPool.Erdos97ConvexOctagon.EquidistantFour +import LeanPool.Erdos97ConvexOctagon.Pentagon +import LeanPool.Erdos97ConvexOctagon.Radius + +/-! # Erdős 97 convex-octagon formalization: Obstructions -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace RealInnerProductSpace + +/-- A four-clique in one radius-labelled graph is impossible in the plane. -/ +theorem no_labelled_k4 + {p : Vertex → Plane} (hp : Function.Injective p) + {Q : OctagonIncidence} (hR : Realises p Q) + {root a b c d : Vertex} (had : a ≠ d) + (hab : Q.LabelledEdge root a b) (hac : Q.LabelledEdge root a c) + (had' : Q.LabelledEdge root a d) (hbc : Q.LabelledEdge root b c) + (hbd : Q.LabelledEdge root b d) (hcd : Q.LabelledEdge root c d) : + False := by + obtain ⟨radius, hpos, hdist⟩ := exists_positive_radii hp Q hR + exact four_points_not_pairwise_equidistant (hp.ne had) + (dist_eq_radius_of_labelledEdge hdist hab) + (dist_eq_radius_of_labelledEdge hdist hac) + (dist_eq_radius_of_labelledEdge hdist had') + (dist_eq_radius_of_labelledEdge hdist hbc) + (dist_eq_radius_of_labelledEdge hdist hbd) + (dist_eq_radius_of_labelledEdge hdist hcd) + +/-- A hub and a five-cycle in one radius-labelled graph are impossible. -/ +theorem no_labelled_hub_pentagon + {p : Vertex → Plane} (hp : Function.Injective p) + {Q : OctagonIncidence} (hR : Realises p Q) + {root o a b c d e : Vertex} + (hoa : Q.LabelledEdge root o a) (hob : Q.LabelledEdge root o b) + (hoc : Q.LabelledEdge root o c) (hod : Q.LabelledEdge root o d) + (hoe : Q.LabelledEdge root o e) (hab : Q.LabelledEdge root a b) + (hbc : Q.LabelledEdge root b c) (hcd : Q.LabelledEdge root c d) + (hde : Q.LabelledEdge root d e) (hea : Q.LabelledEdge root e a) : + False := by + obtain ⟨radius, hpos, hdist⟩ := exists_positive_radii hp Q hR + exact no_unit_pentagon_centre (hpos root) + (dist_eq_radius_of_labelledEdge hdist hoa) + (dist_eq_radius_of_labelledEdge hdist hob) + (dist_eq_radius_of_labelledEdge hdist hoc) + (dist_eq_radius_of_labelledEdge hdist hod) + (dist_eq_radius_of_labelledEdge hdist hoe) + (dist_eq_radius_of_labelledEdge hdist hab) + (dist_eq_radius_of_labelledEdge hdist hbc) + (dist_eq_radius_of_labelledEdge hdist hcd) + (dist_eq_radius_of_labelledEdge hdist hde) + (dist_eq_radius_of_labelledEdge hdist hea) + +/-- A seven-vertex cycle-square strip in one radius-labelled graph is impossible. -/ +theorem no_labelled_cycle_square_strip + {p : Vertex → Plane} (hp : Function.Injective p) + {Q : OctagonIncidence} (hR : Realises p Q) + {root o x1 x2 x3 x4 x5 x6 : Vertex} + (e01 : Q.LabelledEdge root o x1) (e02 : Q.LabelledEdge root o x2) + (e06 : Q.LabelledEdge root o x6) (e12 : Q.LabelledEdge root x1 x2) + (e13 : Q.LabelledEdge root x1 x3) (e23 : Q.LabelledEdge root x2 x3) + (e24 : Q.LabelledEdge root x2 x4) (e34 : Q.LabelledEdge root x3 x4) + (e35 : Q.LabelledEdge root x3 x5) (e45 : Q.LabelledEdge root x4 x5) + (e46 : Q.LabelledEdge root x4 x6) (e56 : Q.LabelledEdge root x5 x6) : + False := by + obtain ⟨radius, hpos, hdist⟩ := exists_positive_radii hp Q hR + exact no_unit_cycle_square_strip (hpos root) + (dist_eq_radius_of_labelledEdge hdist e01) + (dist_eq_radius_of_labelledEdge hdist e02) + (dist_eq_radius_of_labelledEdge hdist e06) + (dist_eq_radius_of_labelledEdge hdist e12) + (dist_eq_radius_of_labelledEdge hdist e13) + (dist_eq_radius_of_labelledEdge hdist e23) + (dist_eq_radius_of_labelledEdge hdist e24) + (dist_eq_radius_of_labelledEdge hdist e34) + (dist_eq_radius_of_labelledEdge hdist e35) + (dist_eq_radius_of_labelledEdge hdist e45) + (dist_eq_radius_of_labelledEdge hdist e46) + (dist_eq_radius_of_labelledEdge hdist e56) + +private lemma common_circle_points_collinear + {A B q1 q2 q3 : Plane} (hAB : A ≠ B) + (hA12 : dist A q1 = dist A q2) (hA13 : dist A q1 = dist A q3) + (hB12 : dist B q1 = dist B q2) (hB13 : dist B q1 = dist B q3) : + Collinear ℝ ({q1, q2, q3} : Set Plane) := by + have hne : B -ᵥ A ≠ 0 := fun h => hAB (vsub_eq_zero_iff_eq.mp h).symm + have h12 : ⟪q2 -ᵥ q1, B -ᵥ A⟫ = (0 : ℝ) := by + rw [real_inner_comm] + exact EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq + (by simpa [dist_comm] using hA12) (by simpa [dist_comm] using hB12) + have h13 : ⟪q3 -ᵥ q1, B -ᵥ A⟫ = (0 : ℝ) := by + rw [real_inner_comm] + exact EuclideanGeometry.inner_vsub_vsub_of_dist_eq_of_dist_eq + (by simpa [dist_comm] using hA13) (by simpa [dist_comm] using hB13) + have hfd : Module.finrank ℝ Plane = 1 + 1 := by + rw [finrank_euclideanSpace] + norm_num + letI : Fact (Module.finrank ℝ Plane = 1 + 1) := ⟨hfd⟩ + have hfo : Module.finrank ℝ ((ℝ ∙ (B -ᵥ A) : Submodule ℝ Plane))ᗮ = 1 := + Submodule.finrank_orthogonal_span_singleton hne + have horth : vectorSpan ℝ ({q1, q2, q3} : Set Plane) ≤ + (ℝ ∙ (B -ᵥ A) : Submodule ℝ Plane)ᗮ := by + rw [vectorSpan_eq_span_vsub_set_right_ne ℝ (Set.mem_insert q1 _)] + rw [Submodule.span_le] + intro w hw + rw [Set.mem_image] at hw + obtain ⟨q, hq, rfl⟩ := hw + have hq_ne : q ≠ q1 := fun h => hq.2 (by simpa using h) + have hq_cases : q = q2 ∨ q = q3 := by + rcases hq.1 with hq | hq + · exact absurd hq hq_ne + rcases hq with hq | hq + · exact Or.inl hq + · simpa using Or.inr hq + rw [SetLike.mem_coe, Submodule.mem_orthogonal_singleton_iff_inner_left] + rcases hq_cases with rfl | rfl + · exact h12 + · exact h13 + letI : FiniteDimensional ℝ (vectorSpan ℝ ({q1, q2, q3} : Set Plane)) := + Submodule.finiteDimensional_of_le horth + rw [collinear_iff_finrank_le_one] + calc + Module.finrank ℝ (vectorSpan ℝ ({q1, q2, q3} : Set Plane)) ≤ + Module.finrank ℝ ((ℝ ∙ (B -ᵥ A) : Submodule ℝ Plane)ᗮ) := + Submodule.finrank_mono horth + _ = 1 := hfo + +/-- Two distinct realised centres cannot share three distinct selected targets +in a convex-independent planar family. -/ +theorem no_three_shared_targets + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + {Q : OctagonIncidence} (hR : Realises p Q) + {a b q1 q2 q3 : Vertex} (hab : a ≠ b) + (h12 : q1 ≠ q2) (h13 : q1 ≠ q3) (h23 : q2 ≠ q3) + (ha1 : q1 ∈ Q.targets a) (ha2 : q2 ∈ Q.targets a) + (ha3 : q3 ∈ Q.targets a) (hb1 : q1 ∈ Q.targets b) + (hb2 : q2 ∈ Q.targets b) (hb3 : q3 ∈ Q.targets b) : + False := by + obtain ⟨ra, hra⟩ := hR a + obtain ⟨rb, hrb⟩ := hR b + have hcol : Collinear ℝ ({p q1, p q2, p q3} : Set Plane) := + common_circle_points_collinear (hC.injective.ne hab) + ((hra q1 ha1).trans (hra q2 ha2).symm) + ((hra q1 ha1).trans (hra q3 ha3).symm) + ((hrb q1 hb1).trans (hrb q2 hb2).symm) + ((hrb q1 hb1).trans (hrb q3 hb3).symm) + exact three_collinear_not_convexIndependent hC h12 h13 h23 hcol + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/Pentagon.lean b/LeanPool/Erdos97ConvexOctagon/Pentagon.lean new file mode 100644 index 000000000..d260c284f --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Pentagon.lean @@ -0,0 +1,105 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Gram + +/-! # Erdős 97 convex-octagon formalization: Pentagon -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace + +/-- Five equal chords cannot form an odd cycle on a circle with the same radius. -/ +theorem no_unit_pentagon_centre + {o a b c d e : Plane} {R : ℝ} (hR : 0 < R) + (oa : dist o a = R) (ob : dist o b = R) (oc : dist o c = R) + (od : dist o d = R) (oe : dist o e = R) + (ab : dist a b = R) (bc : dist b c = R) (cd : dist c d = R) + (de : dist d e = R) (ea : dist e a = R) : False := by + set u0 : Plane := a - o with hu0 + set u1 : Plane := b - o with hu1 + set u2 : Plane := c - o with hu2 + set u3 : Plane := d - o with hu3 + set u4 : Plane := e - o with hu4 + set s : ℝ := R ^ 2 with hs + have hs0 : 0 < s := by positivity + have norm_sq : ∀ {x : Plane}, dist o x = R → ⟪x - o, x - o⟫_ℝ = s := by + intro x hx + rw [real_inner_self_eq_norm_sq, ← dist_eq_norm, dist_comm, hx, hs] + have n0 : ⟪u0, u0⟫_ℝ = s := norm_sq oa + have n1 : ⟪u1, u1⟫_ℝ = s := norm_sq ob + have n2 : ⟪u2, u2⟫_ℝ = s := norm_sq oc + have n3 : ⟪u3, u3⟫_ℝ = s := norm_sq od + have n4 : ⟪u4, u4⟫_ℝ = s := norm_sq oe + have inner_half : ∀ {x y : Plane}, dist o x = R → dist o y = R → + dist x y = R → ⟪x - o, y - o⟫_ℝ = s / 2 := by + intro x y hox hoy hxy + have hsub : (x - o) - (y - o) = x - y := by abel + have hxynorm : ‖(x - o) - (y - o)‖ = R := by + rw [hsub, ← dist_eq_norm, hxy] + have hpolar := norm_sub_sq_real (x - o) (y - o) + have hnx : ‖x - o‖ ^ 2 = s := by + rw [← real_inner_self_eq_norm_sq] + exact norm_sq hox + have hny : ‖y - o‖ ^ 2 = s := by + rw [← real_inner_self_eq_norm_sq] + exact norm_sq hoy + rw [hxynorm, hnx, hny] at hpolar + have hR2 : R ^ 2 = s := hs.symm + nlinarith only [hpolar, hR2] + have i01 : ⟪u0, u1⟫_ℝ = s / 2 := inner_half oa ob ab + have i12 : ⟪u1, u2⟫_ℝ = s / 2 := inner_half ob oc bc + have i23 : ⟪u2, u3⟫_ℝ = s / 2 := inner_half oc od cd + have i34 : ⟪u3, u4⟫_ℝ = s / 2 := inner_half od oe de + have i40 : ⟪u4, u0⟫_ℝ = s / 2 := inner_half oe oa ea + set p : ℝ := ⟪u0, u2⟫_ℝ with hp + set q : ℝ := ⟪u0, u3⟫_ℝ with hq + have i10 : ⟪u1, u0⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact i01 + have i21 : ⟪u2, u1⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact i12 + have i32 : ⟪u3, u2⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact i23 + have i43 : ⟪u4, u3⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact i34 + have i04 : ⟪u0, u4⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact i40 + have p20 : ⟪u2, u0⟫_ℝ = p := by rw [hp, real_inner_comm] + have q30 : ⟪u3, u0⟫_ℝ = q := by rw [hq, real_inner_comm] + have hE1 := gram_det_eq_zero ![u0, u1, u2] + rw [gram3_expand] at hE1 + simp only [n0, n1, n2, i01, i12, i10, i21, ← hp, p20] at hE1 + have hE2 := gram_det_eq_zero ![u0, u2, u3] + rw [gram3_expand] at hE2 + simp only [n0, n2, n3, i23, i32, ← hp, p20, ← hq, q30] at hE2 + have hE3 := gram_det_eq_zero ![u0, u3, u4] + rw [gram3_expand] at hE3 + simp only [n0, n3, n4, i34, i43, ← hq, q30, i04, i40] at hE3 + ring_nf at hE1 hE2 hE3 + have hp0 : s * ((p - s) * (2 * p + s)) = 0 := by + nlinarith only [hE1] + have hp_factor : (p - s) * (2 * p + s) = 0 := + (mul_eq_zero.mp hp0).resolve_left (ne_of_gt hs0) + have hq0 : s * ((q - s) * (2 * q + s)) = 0 := by + nlinarith only [hE3] + have hq_factor : (q - s) * (2 * q + s) = 0 := + (mul_eq_zero.mp hq0).resolve_left (ne_of_gt hs0) + have hs3 : 0 < s ^ 3 := by positivity + rcases mul_eq_zero.mp hp_factor with hp_branch | hp_branch <;> + rcases mul_eq_zero.mp hq_factor with hq_branch | hq_branch + · have ep : p = s := by linarith only [hp_branch] + have eq : q = s := by linarith only [hq_branch] + rw [ep, eq] at hE2 + nlinarith only [hE2, hs3] + · have ep : p = s := by linarith only [hp_branch] + have eq : q = -(s / 2) := by linarith only [hq_branch] + rw [ep, eq] at hE2 + nlinarith only [hE2, hs3] + · have ep : p = -(s / 2) := by linarith only [hp_branch] + have eq : q = s := by linarith only [hq_branch] + rw [ep, eq] at hE2 + nlinarith only [hE2, hs3] + · have ep : p = -(s / 2) := by linarith only [hp_branch] + have eq : q = -(s / 2) := by linarith only [hq_branch] + rw [ep, eq] at hE2 + nlinarith only [hE2, hs3] + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/Radius.lean b/LeanPool/Erdos97ConvexOctagon/Radius.lean new file mode 100644 index 000000000..4cfe80094 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Radius.lean @@ -0,0 +1,84 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.GeometryReduction + +/-! # Erdős 97 convex-octagon formalization: Radius -/ + +namespace Erdos97Octagon + +namespace OctagonIncidence + +/-- Two centres are mutually selected. -/ +def Mutual (Q : OctagonIncidence) (a b : Vertex) : Prop := + b ∈ Q.targets a ∧ a ∈ Q.targets b + +/-- Two centres lie in the same connected component of mutual selections. -/ +def SameComponent (Q : OctagonIncidence) (a b : Vertex) : Prop := + Relation.ReflTransGen Q.Mutual a b + +/-- An undirected pair is labelled by the radius of a mutual component when +one endpoint in that component selects the other. -/ +def LabelledEdge (Q : OctagonIncidence) (root a b : Vertex) : Prop := + (Q.SameComponent root a ∧ b ∈ Q.targets a) ∨ + (Q.SameComponent root b ∧ a ∈ Q.targets b) + +end OctagonIncidence + +/-- An injective realisation admits a positive radius at every centre. -/ +theorem exists_positive_radii + {p : Vertex → Plane} (hp : Function.Injective p) + (Q : OctagonIncidence) (hR : Realises p Q) : + ∃ radius : Vertex → ℝ, + (∀ v, 0 < radius v) ∧ + ∀ v w, w ∈ Q.targets v → dist (p v) (p w) = radius v := by + classical + choose radius hradius using hR + refine ⟨radius, ?_, hradius⟩ + intro v + have hne : (Q.targets v).Nonempty := by + rw [Finset.nonempty_iff_ne_empty] + intro hempty + have := Q.card_targets v + rw [hempty] at this + simp at this + obtain ⟨w, hw⟩ := hne + have hvw : v ≠ w := fun h => Q.centre_not_mem v (h ▸ hw) + have hpvw : p v ≠ p w := hp.ne hvw + have hpos : 0 < dist (p v) (p w) := dist_pos.mpr hpvw + rwa [hradius v w hw] at hpos + +/-- Mutual centres have equal radii in any realisation. -/ +theorem radius_eq_of_mutual + {p : Vertex → Plane} {Q : OctagonIncidence} {radius : Vertex → ℝ} + (hR : ∀ v w, w ∈ Q.targets v → dist (p v) (p w) = radius v) + {a b : Vertex} (hab : Q.Mutual a b) : + radius a = radius b := by + rw [← hR a b hab.1, ← hR b a hab.2, dist_comm] + +/-- Radii are constant along a mutual connected component. -/ +theorem radius_eq_of_sameComponent + {p : Vertex → Plane} {Q : OctagonIncidence} {radius : Vertex → ℝ} + (hR : ∀ v w, w ∈ Q.targets v → dist (p v) (p w) = radius v) + {a b : Vertex} (hab : Q.SameComponent a b) : + radius a = radius b := by + induction hab with + | refl => rfl + | tail _ hedge ih => + exact ih.trans (radius_eq_of_mutual hR hedge) + +/-- A labelled edge has the radius of its mutual component. -/ +theorem dist_eq_radius_of_labelledEdge + {p : Vertex → Plane} {Q : OctagonIncidence} {radius : Vertex → ℝ} + (hR : ∀ v w, w ∈ Q.targets v → dist (p v) (p w) = radius v) + {root a b : Vertex} (hab : Q.LabelledEdge root a b) : + dist (p a) (p b) = radius root := by + rcases hab with ⟨hroot, hedge⟩ | ⟨hroot, hedge⟩ + · exact (hR a b hedge).trans (radius_eq_of_sameComponent hR hroot).symm + · rw [dist_comm] + exact (hR b a hedge).trans (radius_eq_of_sameComponent hR hroot).symm + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/Regenerate.lean b/LeanPool/Erdos97ConvexOctagon/Regenerate.lean new file mode 100644 index 000000000..da9bde4c0 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Regenerate.lean @@ -0,0 +1,560 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.LRAT.Elab + +/-! +# Deterministic master-certificate regeneration + +Run from the repository root, replacing the two executable paths: + +``` +lake env lean --stdin <<'EOF' +import LeanPool.Erdos97ConvexOctagon.Regenerate +regenerate_erdos97 "check" "." "/path/to/cadical" "/path/to/drat-trim" +EOF +``` + +Use `write` instead of `check` to replace generated Lean modules. The supplied +executables must come from the pinned source commits recorded below. Ordinary +library builds only check the committed packed certificate and never run +external tools. +-/ + +namespace Erdos97Octagon.Regenerate + +open LRAT RawIncidence +open System + +private def cadicalCommit := + "c60730422e758ef1cebe7aeddf2dda31c996bf04" + +private def dratTrimCommit := + "2e3b2dc0ecf938addbd779d42877b6ed69d9a985" + +private def initialClauseCount := 6582 +private def additionCount := 11139 +private def deletionCount := 8677 +private def actionCount := 19816 +private def additionsPerStage := 700 +private def encodedLineWidth := 88 +private def linesPerDataModule := 500 + +private def stageCount : ℕ := + (additionCount + additionsPerStage - 1) / additionsPerStage + +private def stageStart (index : ℕ) : ℕ := + index * additionsPerStage + +private def stageStop (index : ℕ) : ℕ := + min additionCount ((index + 1) * additionsPerStage) + +private inductive Mode where + | check + | write + +private def Mode.text : Mode → String + | .check => "check" + | .write => "write" + +private structure Configuration where + mode : Mode + repository : FilePath + cadical : FilePath + dratTrim : FilePath + +private inductive ParsedAction where + | deletion + | addition (value : Addition) + +private structure ParsedCertificate where + proofSteps : Array Addition + actions : ℕ + deletions : ℕ + +private def parseNatural (token : String) : Except String ℕ := + match token.toNat? with + | some value => pure value + | none => throw s!"expected a natural number, got '{token}'" + +private def parseInteger (token : String) : Except String Int := + match token.toInt? with + | some value => pure value + | none => throw s!"expected an integer, got '{token}'" + +private def takeIntegersUntilZero : + List String → Except String (Array Int × List String) + | [] => throw "unterminated integer sequence" + | token :: remaining => do + let value ← parseInteger token + if value = 0 then + pure (#[], remaining) + else + let (values, remaining) ← takeIntegersUntilZero remaining + pure (values.insertIdx 0 value, remaining) + +private def takeNaturalsUntilZero : + List String → Except String (Array ℕ × List String) + | [] => throw "unterminated natural-number sequence" + | token :: remaining => do + let value ← parseNatural token + if value = 0 then + pure (#[], remaining) + else + let (values, remaining) ← takeNaturalsUntilZero remaining + pure (values.insertIdx 0 value, remaining) + +private def lineTokens (line : String) : List String := + (line.trimAscii.copy.splitOn " ").filter fun token => !token.isEmpty + +private def parseActionLine (line : String) : Except String ParsedAction := do + let tokens := lineTokens line + let identifierToken :: remaining := tokens + | throw "empty LRAT action" + let identifier ← parseNatural identifierToken + match remaining with + | "d" :: deletionTokens => + let (_, trailing) ← takeNaturalsUntilZero deletionTokens + unless trailing.isEmpty do + throw "trailing tokens after LRAT deletion" + pure .deletion + | _ => + let (literals, remaining) ← takeIntegersUntilZero remaining + let (antecedents, trailing) ← takeNaturalsUntilZero remaining + unless trailing.isEmpty do + throw "trailing tokens after LRAT addition" + pure <| .addition { identifier, literals, antecedents } + +private def parseCertificate (text : String) : Except String ParsedCertificate := do + let mut proofSteps := #[] + let mut actions := 0 + let mut deletions := 0 + for line in text.splitOn "\n" do + unless line.trimAscii.isEmpty do + actions := actions + 1 + match ← parseActionLine line with + | .deletion => deletions := deletions + 1 + | .addition addition => proofSteps := proofSteps.push addition + pure { proofSteps, actions, deletions } + +private def packedLiteralCode (literal : Int) : Except String ℕ := + if literal = 0 then + throw "zero is not a literal" + else if literal < 0 then + pure (2 * ((-literal).toNat - 1) + 1) + else + pure (2 * (literal.toNat - 1)) + +private def varintByteCountWithFuel : + ℕ → ℕ → Option ℕ + | 0, _ => none + | fuel + 1, value => + if value < 128 then + some 1 + else + (varintByteCountWithFuel fuel (value / 128)).map Nat.succ + +private def packedNaturalValues + (initialClauses : ℕ) (steps : Array Addition) : + Except String (Array ℕ) := do + let mut previous := initialClauses + let mut values := #[] + for addition in steps do + values := values.push (addition.identifier - previous) + values := values.push addition.literals.size + for literal in addition.literals do + values := values.push (← packedLiteralCode literal) + values := values.push addition.antecedents.size + for antecedent in addition.antecedents do + values := values.push (addition.identifier - antecedent) + previous := addition.identifier + pure values + +private def maximumVarintByteCount + (initialClauses : ℕ) (steps : Array Addition) : + Except String ℕ := do + let values ← packedNaturalValues initialClauses steps + let mut maximum := 0 + for value in values do + let some count := + varintByteCountWithFuel packedVarintByteBound value + | throw "packed natural exceeds the decoder byte bound" + maximum := max maximum count + pure maximum + +private def literalInteger : Literal → Int + | .positive index => Int.ofNat (index + 1) + | .negative index => -Int.ofNat (index + 1) + +private def renderClause (clause : Clause) : String := + let literals := clause.map fun literal => toString (literalInteger literal) + String.intercalate " " literals ++ " 0\n" + +private def renderMasterCnf : Except String String := do + unless masterFormula.length = initialClauseCount do + throw s!"expected {initialClauseCount} master clauses, got {masterFormula.length}" + pure <| s!"p cnf 64 {initialClauseCount}\n" ++ + String.join (masterFormula.map renderClause) + +private def processOutput + (executable : FilePath) (arguments : Array String) : IO IO.Process.Output := + IO.Process.output { + cmd := executable.toString + args := arguments + stdout := .piped + stderr := .piped + } + +private def verifySourceCommit + (executable : FilePath) (expected : String) : IO Unit := do + let immediateParent := executable.parent.getD "." + let sourceDirectory := + if executable.fileName.getD "" = "cadical" then + immediateParent.parent.getD "." + else + immediateParent + let output ← processOutput "git" + #["-C", sourceDirectory.toString, "rev-parse", "HEAD"] + unless output.exitCode = 0 do + throw <| IO.userError s!"cannot read tool commit:\n{output.stderr}" + let actual := output.stdout.trimAscii.copy + unless actual = expected do + throw <| IO.userError + s!"tool at {sourceDirectory} is {actual}; expected {expected}" + +private def runCertificateTools + (configuration : Configuration) (directory : FilePath) : + IO (FilePath × FilePath × FilePath) := do + verifySourceCommit configuration.cadical cadicalCommit + verifySourceCommit configuration.dratTrim dratTrimCommit + let cnfPath := directory / "master.cnf" + let dratPath := directory / "master.drat" + let lratPath := directory / "master.lrat" + IO.FS.writeFile cnfPath (← IO.ofExcept renderMasterCnf) + let solver ← processOutput configuration.cadical + #[cnfPath.toString, dratPath.toString] + unless solver.exitCode = 20 do + throw <| IO.userError + s!"CaDiCaL failed with {solver.exitCode}:\n{solver.stderr}" + let converter ← processOutput configuration.dratTrim + #[cnfPath.toString, dratPath.toString, "-L", lratPath.toString] + unless converter.exitCode = 0 do + throw <| IO.userError + s!"drat-trim failed with {converter.exitCode}:\n{converter.stderr}" + pure (cnfPath, dratPath, lratPath) + +private def hashOutput (executable : FilePath) (arguments : Array String) : + IO (Option String) := do + try + let output ← processOutput executable arguments + if output.exitCode = 0 then + pure <| (output.stdout.trimAscii.copy.splitOn " ").head? + else + pure none + catch _ => + pure none + +private def sha256 (path : FilePath) : IO String := do + if let some digest ← hashOutput "sha256sum" #[path.toString] then + pure digest + else if let some digest ← hashOutput "shasum" #["-a", "256", path.toString] then + pure digest + else + throw <| IO.userError "neither sha256sum nor shasum is available" + +private def chunksOfWithFuel : + ℕ → ℕ → List α → List (List α) + | 0, _, _ => [] + | _, _, [] => [] + | _fuel + 1, 0, _ => [] + | fuel + 1, size, values => + values.take size :: chunksOfWithFuel fuel size (values.drop size) + +private def chunksOf (size : ℕ) (values : List α) : List (List α) := + chunksOfWithFuel (values.length + 1) size values + +private def encodedLines (encoded : String) : Except String (List String) := do + let bytes := encoded.toUTF8 + let mut result := #[] + for block in [0:(bytes.size + encodedLineWidth - 1) / encodedLineWidth] do + let start := block * encodedLineWidth + let stop := min bytes.size (start + encodedLineWidth) + let mut line := ByteArray.empty + for index in [start:stop] do + let some byte := bytes[index]? + | throw "encoded certificate line index is out of range" + line := line.push byte + let some text := String.fromUTF8? line + | throw "encoded certificate line is not valid UTF-8" + result := result.push text + pure result.toList + +private def header : String := + "/-\n" ++ + "Copyright (c) 2026 Egor Lyfar. All rights reserved.\n" ++ + "Released under Apache 2.0 license as described in the file LICENSE.\n" ++ + "Authors: Egor Lyfar\n" ++ + "-/\n\n" + +private def renderDataModule + (moduleIndex : ℕ) (lines : List String) : String := + let name := s!"masterCertificatePart{moduleIndex}" + let body := lines.map fun line => s!" \"{line}\",\n" + header ++ + "import LeanPool.Erdos97ConvexOctagon.LRAT.Format\n\n" ++ + "/-! # Generated packed master-certificate data -/\n\n" ++ + "namespace Erdos97Octagon.RawIncidence\n\n" ++ + s!"/-- Packed certificate data part {moduleIndex}. -/\n" ++ + s!"def {name} : List String := [\n" ++ + String.join body ++ + "]\n\nend Erdos97Octagon.RawIncidence\n" + +private def dataModuleName (index : ℕ) : String := + s!"MasterCertificateData{index}" + +private def stageModuleName (index : ℕ) : String := + if index < 10 then + s!"MasterCertificateStage0{index}" + else + s!"MasterCertificateStage{index}" + +private def renderNaturalList (values : List ℕ) : String := + "[" ++ String.intercalate ", " (values.map toString) ++ "]" + +private def renderManifest + (dataModuleCount packedByteCount encodedCharacterCount maximumVarintBytes : ℕ) + (cnfHash lratHash packedHash : String) : String := + let stageCounts := (List.range stageCount).map fun index => + stageStop index - stageStart index + let stageBoundaries := + (List.range stageCount).map stageStart ++ [additionCount] + let stageBoundarySplit := (stageBoundaries.length + 1) / 2 + header ++ + "import LeanPool.Erdos97ConvexOctagon.LRAT.Format\n\n" ++ + "/-! # Generated master-certificate manifest -/\n\n" ++ + "namespace Erdos97Octagon.RawIncidence\n\n" ++ + "/-- Packed certificate format version. -/\n" ++ + "def masterCertificateFormatVersion : ℕ := 1\n\n" ++ + "/-- Number of initial clauses. -/\n" ++ + s!"def masterCertificateInitialClauses : ℕ := {initialClauseCount}\n\n" ++ + "/-- Number of retained LRAT additions. -/\n" ++ + s!"def masterCertificateAdditions : ℕ := {additionCount}\n\n" ++ + "/-- Number of omitted LRAT deletion records. -/\n" ++ + s!"def masterCertificateDeletions : ℕ := {deletionCount}\n\n" ++ + "/-- Total number of actions in the generated LRAT text. -/\n" ++ + s!"def masterCertificateActions : ℕ := {actionCount}\n\n" ++ + "/-- Number of packed bytes. -/\n" ++ + s!"def masterCertificatePackedBytes : ℕ := {packedByteCount}\n\n" ++ + "/-- Number of base64 characters. -/\n" ++ + s!"def masterCertificateEncodedCharacters : ℕ := {encodedCharacterCount}\n\n" ++ + "/-- Number of generated data modules. -/\n" ++ + s!"def masterCertificateDataModules : ℕ := {dataModuleCount}\n\n" ++ + "/-- Number of sequential proof-stage modules. -/\n" ++ + s!"def masterCertificateStageModules : ℕ := {stageCount}\n\n" ++ + "/-- Maximum retained additions reconstructed in one proof stage. -/\n" ++ + s!"def masterCertificateMaximumAdditionsPerStage : ℕ := {additionsPerStage}\n\n" ++ + "/-- Retained additions reconstructed by each sequential proof stage. -/\n" ++ + "def masterCertificateStageAdditionCounts : List ℕ :=\n" ++ + s!" {renderNaturalList stageCounts}\n\n" ++ + "/-- Zero-based addition boundaries of the sequential proof stages. -/\n" ++ + "def masterCertificateStageBoundaries : List ℕ :=\n" ++ + s!" {renderNaturalList (stageBoundaries.take stageBoundarySplit)} ++\n" ++ + s!" {renderNaturalList (stageBoundaries.drop stageBoundarySplit)}\n\n" ++ + "/-- Maximum measured bytes used by one packed natural number. -/\n" ++ + s!"def masterCertificateMaximumVarintBytes : ℕ := {maximumVarintBytes}\n\n" ++ + "/-- Decoder byte bound for one packed natural number. -/\n" ++ + s!"def masterCertificateVarintByteBound : ℕ := {packedVarintByteBound}\n\n" ++ + "/-- Maximum string literals emitted in one generated data part. -/\n" ++ + s!"def masterCertificateMaximumStringsPerPart : ℕ := {linesPerDataModule}\n\n" ++ + "/-- Maximum measured compiled-expression steps used by one generated data part. -/\n" ++ + "def masterCertificateMaximumStringListExpressionSteps : ℕ := " ++ + s!"{embeddedCertificatePartMaximumExpressionSteps}\n\n" ++ + "/-- Structural fuel used to decode one generated string-list part. -/\n" ++ + s!"def masterCertificateStringListFuel : ℕ := {embeddedCertificatePartFuel}\n\n" ++ + "/-- SHA-256 of the generated DIMACS formula. -/\n" ++ + "def masterCertificateCnfSha256 : String :=\n" ++ + s!" \"{cnfHash}\"\n\n" ++ + "/-- SHA-256 of the normalized LRAT text. -/\n" ++ + "def masterCertificateLratSha256 : String :=\n" ++ + s!" \"{lratHash}\"\n\n" ++ + "/-- SHA-256 of the packed certificate bytes. -/\n" ++ + "def masterCertificatePackedSha256 : String :=\n" ++ + s!" \"{packedHash}\"\n\n" ++ + "/-- Pinned CaDiCaL source commit. -/\n" ++ + "def masterCertificateCadicalCommit : String :=\n" ++ + s!" \"{cadicalCommit}\"\n\n" ++ + "/-- Pinned drat-trim source commit. -/\n" ++ + "def masterCertificateDratTrimCommit : String :=\n" ++ + s!" \"{dratTrimCommit}\"\n\n" ++ + "end Erdos97Octagon.RawIncidence\n" + +private def renderStageModule + (dataModuleCount stageIndex : ℕ) : String := + let imports := (List.range dataModuleCount).map fun index => + s!"import LeanPool.Erdos97ConvexOctagon.{dataModuleName index}\n" + let parts := (List.range dataModuleCount).map fun index => + s!" masterCertificatePart{index}\n" + let dependencyImport := + if stageIndex = 0 then + "import LeanPool.Erdos97ConvexOctagon.LRAT.Elab\n" ++ + String.join imports + else + s!"import LeanPool.Erdos97ConvexOctagon." ++ + s!"{stageModuleName (stageIndex - 1)}\n" + header ++ + dependencyImport ++ + s!"\n/-! # Master-certificate proof stage {stageIndex} -/\n\n" ++ + "namespace Erdos97Octagon.RawIncidence\n\n" ++ + "master_lrat_stage\n" ++ + s!" initial_clauses {initialClauseCount}\n" ++ + s!" additions {additionCount}\n" ++ + s!" stage_start {stageStart stageIndex}\n" ++ + s!" stage_stop {stageStop stageIndex}\n" ++ + " clause_prefix masterCertificateClause\n" ++ + " final_theorem masterFormula_unsatisfiable\n" ++ + " data_parts\n" ++ + String.join parts ++ + "\n\nend Erdos97Octagon.RawIncidence\n" + +private def renderCertificateModule : String := + header ++ + s!"import LeanPool.Erdos97ConvexOctagon." ++ + s!"{stageModuleName (stageCount - 1)}\n\n" ++ + "/-! # Kernel-checked master coverage certificate -/\n" + +private def generatedDirectory (repository : FilePath) : FilePath := + repository / "LeanPool" / "Erdos97ConvexOctagon" + +private def reconcileFile + (mode : Mode) (path : FilePath) (expected : String) : IO Unit := do + match mode with + | .write => IO.FS.writeFile path expected + | .check => + let fileExists ← path.pathExists + unless fileExists do + throw <| IO.userError s!"generated file is missing: {path}" + let actual ← IO.FS.readFile path + unless actual = expected do + throw <| IO.userError s!"generated file differs: {path}" + +private def removeOrRejectExtraModules + (configuration : Configuration) (stem : String) (expectedCount : ℕ) : + IO Unit := do + let directory := generatedDirectory configuration.repository + for entry in ← directory.readDir do + let name := entry.fileName + if name.startsWith stem ∧ name.endsWith ".lean" then + let suffix := ((name.drop stem.length).dropEnd 5).copy + let isExpected : Bool := + match suffix.toNat? with + | some index => decide (index < expectedCount) + | none => false + unless isExpected do + match configuration.mode with + | .write => IO.FS.removeFile entry.path + | .check => + throw <| IO.userError s!"obsolete generated file remains: {entry.path}" + +private def removeOrRejectObsoleteFile + (configuration : Configuration) (path : FilePath) : IO Unit := do + if ← path.pathExists then + match configuration.mode with + | .write => IO.FS.removeFile path + | .check => throw <| IO.userError s!"obsolete generated file remains: {path}" + +private def generate + (configuration : Configuration) (temporaryDirectory : FilePath) : IO Unit := do + let (cnfPath, _, lratPath) ← + runCertificateTools configuration temporaryDirectory + let lratText ← IO.FS.readFile lratPath + let certificate ← IO.ofExcept <| parseCertificate lratText + unless certificate.actions = actionCount do + throw <| IO.userError + s!"expected {actionCount} LRAT actions, got {certificate.actions}" + unless certificate.deletions = deletionCount do + throw <| IO.userError + s!"expected {deletionCount} LRAT deletions, got {certificate.deletions}" + let proofAdditions := certificate.proofSteps + unless proofAdditions.size = additionCount do + throw <| IO.userError + s!"expected {additionCount} LRAT additions, got {proofAdditions.size}" + for index in [0:proofAdditions.size] do + let some addition := proofAdditions[index]? + | throw <| IO.userError "LRAT addition index is out of range" + if addition.literals.isEmpty ∧ index + 1 ≠ proofAdditions.size then + throw <| IO.userError "empty clause occurs before the final LRAT addition" + let some finalAddition := proofAdditions[proofAdditions.size - 1]? + | throw <| IO.userError "LRAT certificate has no additions" + unless finalAddition.literals.isEmpty do + throw <| IO.userError "final LRAT addition is not the empty clause" + let packed ← IO.ofExcept <| + encodeAdditions initialClauseCount proofAdditions + let encoded ← IO.ofExcept <| encodeBase64 packed + let maximumVarintBytes ← IO.ofExcept <| + maximumVarintByteCount initialClauseCount proofAdditions + let roundTripBytes ← IO.ofExcept <| decodeBase64 encoded + let roundTrip ← IO.ofExcept <| + decodeAdditions initialClauseCount additionCount roundTripBytes + unless roundTrip == proofAdditions do + throw <| IO.userError "packed certificate round trip changed an action" + let packedPath := temporaryDirectory / "master.packed" + IO.FS.writeBinFile packedPath packed + let lines ← IO.ofExcept <| encodedLines encoded + let lineModules := chunksOf linesPerDataModule lines + let directory := generatedDirectory configuration.repository + for index in List.range lineModules.length do + let lines := lineModules.getD index [] + reconcileFile configuration.mode + (directory / s!"{dataModuleName index}.lean") + (renderDataModule index lines) + removeOrRejectExtraModules configuration + "MasterCertificateData" lineModules.length + removeOrRejectObsoleteFile configuration + (directory / "MasterCertificateContext.lean") + for index in List.range stageCount do + reconcileFile configuration.mode + (directory / s!"{stageModuleName index}.lean") + (renderStageModule lineModules.length index) + removeOrRejectExtraModules configuration + "MasterCertificateStage" stageCount + reconcileFile configuration.mode + (directory / "MasterCertificateManifest.lean") + (renderManifest lineModules.length packed.size encoded.length maximumVarintBytes + (← sha256 cnfPath) (← sha256 lratPath) (← sha256 packedPath)) + reconcileFile configuration.mode + (directory / "MasterCertificate.lean") + renderCertificateModule + IO.println <| s!"{configuration.mode.text}: {initialClauseCount} clauses, " ++ + s!"{certificate.actions} actions, {proofAdditions.size} additions, " ++ + s!"{packed.size} packed bytes, {lineModules.length} data modules, " ++ + s!"{stageCount} proof stages" + +private def configuration (mode repository cadical dratTrim : String) : + Except String Configuration := do + let parsedMode ← + match mode with + | "check" => pure Mode.check + | "write" => pure Mode.write + | _ => throw "mode must be check or write" + pure { + mode := parsedMode + repository + cadical + dratTrim + } + +/-- Run the deterministic master-certificate generator with explicit tool paths. -/ +syntax (name := regenerateErdos97) + "regenerate_erdos97 " str str str str : command + +elab_rules : command + | `(regenerate_erdos97 $mode:str $repository:str $cadical:str $dratTrim:str) => do + let configuration ← IO.ofExcept <| + configuration mode.getString repository.getString cadical.getString dratTrim.getString + Lean.Elab.Command.liftIO <| IO.FS.withTempDir fun directory => + generate configuration directory + +end Erdos97Octagon.Regenerate diff --git a/LeanPool/Erdos97ConvexOctagon/Relabelling.lean b/LeanPool/Erdos97ConvexOctagon/Relabelling.lean new file mode 100644 index 000000000..caae82727 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/Relabelling.lean @@ -0,0 +1,122 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.GeometryReduction +import Mathlib.Logic.Equiv.Fintype + +/-! # Erdős 97 convex-octagon formalization: Relabelling -/ + +namespace Erdos97Octagon + +/-- The canonical first witness row used by the finite classification. -/ +def standardTargets : Finset Vertex := {1, 2, 3, 4} + +/-- The canonical witness row has four vertices. -/ +@[simp] theorem card_standardTargets : standardTargets.card = 4 := by + decide + +/-- The canonical witness row does not contain its centre. -/ +@[simp] theorem zero_notMem_standardTargets : (0 : Vertex) ∉ standardTargets := by + decide + +namespace OctagonIncidence + +/-- Simultaneously relabel the centres and every entry of their witness rows. -/ +def relabel (Q : OctagonIncidence) (e : Vertex ≃ Vertex) : OctagonIncidence where + targets v := (Q.targets (e.symm v)).map e.toEmbedding + card_targets v := by simp [Q.card_targets] + centre_not_mem v := by simpa using Q.centre_not_mem (e.symm v) + +/-- A system is normalized when row zero is the canonical four-set. -/ +def Normalized (Q : OctagonIncidence) : Prop := + Q.targets 0 = standardTargets + +private theorem exists_perm_fix_zero_map + (S : Finset Vertex) (hcard : S.card = 4) (hzero : (0 : Vertex) ∉ S) : + ∃ e : Vertex ≃ Vertex, + e 0 = 0 ∧ S.map e.toEmbedding = standardTargets := by + classical + obtain ⟨σ, hσ⟩ := Equiv.Perm.exists_map_finset_eq S standardTargets (by + simpa only [card_standardTargets] using hcard) + have hσzero : σ 0 ∉ standardTargets := by + intro hmem + rw [← hσ] at hmem + obtain ⟨x, hxS, hx⟩ := Finset.mem_map.mp hmem + apply hzero + have hxzero : x = 0 := σ.injective (by simpa using hx) + simpa [hxzero] using hxS + let τ : Vertex ≃ Vertex := Equiv.swap (σ 0) 0 + have hτ (x : Vertex) (hx : x ∈ standardTargets) : τ x = x := by + apply Equiv.swap_apply_of_ne_of_ne + · exact fun h => hσzero (h ▸ hx) + · exact fun h => zero_notMem_standardTargets (h ▸ hx) + let e := σ.trans τ + refine ⟨e, ?_, ?_⟩ + · simp [e, τ] + · rw [show e.toEmbedding = σ.toEmbedding.trans τ.toEmbedding by rfl] + rw [← Finset.map_map, hσ] + ext x + constructor + · intro hx + obtain ⟨y, hy, rfl⟩ := Finset.mem_map.mp hx + change τ y ∈ standardTargets + rw [hτ y hy] + exact hy + · intro hx + exact Finset.mem_map.mpr ⟨x, hx, hτ x hx⟩ + +/-- Every octagon incidence system is isomorphic to one with canonical row zero. -/ +theorem exists_normalized_relabel (Q : OctagonIncidence) : + ∃ e : Vertex ≃ Vertex, (Q.relabel e).Normalized := by + obtain ⟨e, he0, hmap⟩ := + exists_perm_fix_zero_map (Q.targets 0) (Q.card_targets 0) (Q.centre_not_mem 0) + have hesymm : e.symm 0 = 0 := by + apply e.injective + simp [he0] + refine ⟨e, ?_⟩ + simpa [Normalized, relabel, hesymm] using hmap + +end OctagonIncidence + +/-- Relabel a planar configuration contragrediently with its incidence system. -/ +def relabelPoints (p : Vertex → Plane) (e : Vertex ≃ Vertex) : Vertex → Plane := + p ∘ e.symm + +/-- Equal-distance realisability is invariant under simultaneous relabelling. -/ +theorem realises_relabel + {p : Vertex → Plane} {Q : OctagonIncidence} (hR : Realises p Q) + (e : Vertex ≃ Vertex) : + Realises (relabelPoints p e) (Q.relabel e) := by + intro v + obtain ⟨r, hr⟩ := hR (e.symm v) + refine ⟨r, fun w hw => ?_⟩ + have hw' : e.symm w ∈ Q.targets (e.symm v) := by + simpa [OctagonIncidence.relabel] using hw + simpa [relabelPoints] using hr (e.symm w) hw' + +/-- Convex independence is invariant under relabelling. -/ +theorem convexIndependent_relabel + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) (e : Vertex ≃ Vertex) : + ConvexIndependent ℝ (relabelPoints p e) := by + simpa [relabelPoints] using hC.comp_embedding e.symm.toEmbedding + +/-- A failed convex octagon has a normalized balanced pair-sparse realisation. -/ +theorem normalized_reduction_of_all_hasFour + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + (h : ∀ v, HasFourEquidistant p v) : + ∃ p' : Vertex → Plane, ∃ Q : OctagonIncidence, + ConvexIndependent ℝ p' ∧ Realises p' Q ∧ Q.Normalized ∧ + Q.PairSparse ∧ Q.Balanced := by + obtain ⟨Q, hR⟩ := incidence_of_all_hasFour h + obtain ⟨e, hN⟩ := Q.exists_normalized_relabel + let p' := relabelPoints p e + let Q' := Q.relabel e + have hC' : ConvexIndependent ℝ p' := convexIndependent_relabel hC e + have hR' : Realises p' Q' := realises_relabel hR e + have hS' : Q'.PairSparse := pairSparse_of_realises hC' Q' hR' + exact ⟨p', Q', hC', hR', hN, hS', Q'.balanced_of_pairSparse hS'⟩ + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra00.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra00.lean new file mode 100644 index 000000000..5d3bb112e --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra00.lean @@ -0,0 +1,99 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra00 -/ + +namespace Erdos97Octagon + +/-- Residual class 0 has no injective planar realisation. -/ +theorem residualRepresentative00_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative00 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative00 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative00]) + have r02 : radius 0 = radius 2 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative00]) + have r15 : radius 1 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative00]) + have r34 : radius 3 = radius 4 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative00]) + have r37 : radius 3 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative00]) + have r46 : radius 4 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative00]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 0 := (r02).symm + have radius5 : radius 5 = radius 0 := ((r01).trans r15).symm + have radius3 : radius 3 = radius 3 := rfl + have radius4 : radius 4 = radius 3 := (r34).symm + have radius6 : radius 6 = radius 3 := ((r34).trans r46).symm + have radius7 : radius 7 = radius 3 := (r37).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 3 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d03 : sqDist (p 0) (p 3) / base = 1 := by + rw [sqDist, hdist 0 3 (by decide), radius0] + exact div_self hbase + have d06 : sqDist (p 0) (p 6) / base = s1 := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d07 : sqDist (p 0) (p 7) / base = s1 := by + rw [sqDist, dist_comm, hdist 7 0 (by decide), radius7] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d13 : sqDist (p 1) (p 3) / base = 1 := by + rw [sqDist, hdist 1 3 (by decide), radius1] + exact div_self hbase + have d16 : sqDist (p 1) (p 6) / base = s1 := by + rw [sqDist, dist_comm, hdist 6 1 (by decide), radius6] + have d17 : sqDist (p 1) (p 7) / base = s1 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d26 : sqDist (p 2) (p 6) / base = 1 := by + rw [sqDist, hdist 2 6 (by decide), radius2] + exact div_self hbase + have d37 : sqDist (p 3) (p 7) / base = s1 := by + rw [sqDist, hdist 3 7 (by decide), radius3] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 6) hbase + rw [d01, d02, d06, d12, d16, d26] at hcm0 + have e0 : -2*s1 ^ 2 + 8*s1 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 1) (p 3) (p 7) hbase + rw [d01, d03, d07, d13, d17, d37] at hcm1 + have e1 : 6*s1 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have certificate : + (9/4 : ℝ) * (-2*s1 ^ 2 + 8*s1 - 2) + + (3/4*s1-11/4 : ℝ) * (6*s1 - 2) = 1 := by + ring + rw [e0, e1] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra01.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra01.lean new file mode 100644 index 000000000..c9a813484 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra01.lean @@ -0,0 +1,97 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra01 -/ + +namespace Erdos97Octagon + +/-- Residual class 1 has no injective planar realisation. -/ +theorem residualRepresentative01_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative01 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative01 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative01]) + have r02 : radius 0 = radius 2 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative01]) + have r34 : radius 3 = radius 4 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative01]) + have r57 : radius 5 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative01]) + have r76 : radius 7 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative01]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 0 := (r02).symm + have radius3 : radius 3 = radius 3 := rfl + have radius4 : radius 4 = radius 3 := (r34).symm + have radius5 : radius 5 = radius 5 := rfl + have radius6 : radius 6 = radius 5 := ((r57).trans r76).symm + have radius7 : radius 7 = radius 5 := (r57).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 3 ^ 2 / base + let s2 : ℝ := radius 5 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d06 : sqDist (p 0) (p 6) / base = s2 := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d16 : sqDist (p 1) (p 6) / base = s2 := by + rw [sqDist, dist_comm, hdist 6 1 (by decide), radius6] + have d17 : sqDist (p 1) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d25 : sqDist (p 2) (p 5) / base = 1 := by + rw [sqDist, hdist 2 5 (by decide), radius2] + exact div_self hbase + have d26 : sqDist (p 2) (p 6) / base = 1 := by + rw [sqDist, hdist 2 6 (by decide), radius2] + exact div_self hbase + have d27 : sqDist (p 2) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 2 (by decide), radius7] + have d57 : sqDist (p 5) (p 7) / base = s2 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 6) hbase + rw [d01, d02, d06, d12, d16, d26] at hcm0 + have e0 : -2*s2 ^ 2 + 8*s2 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 1) (p 2) (p 5) (p 7) hbase + rw [d12, d15, d17, d25, d27, d57] at hcm1 + have e1 : 6*s2 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have certificate : + (9/4 : ℝ) * (-2*s2 ^ 2 + 8*s2 - 2) + + (3/4*s2-11/4 : ℝ) * (6*s2 - 2) = 1 := by + ring + rw [e0, e1] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra02.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra02.lean new file mode 100644 index 000000000..79826f8e0 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra02.lean @@ -0,0 +1,93 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra02 -/ + +namespace Erdos97Octagon + +/-- Residual class 2 has no injective planar realisation. -/ +theorem residualRepresentative02_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative02 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative02 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative02]) + have r02 : radius 0 = radius 2 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative02]) + have r36 : radius 3 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative02]) + have r67 : radius 6 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative02]) + have r45 : radius 4 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative02]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 0 := (r02).symm + have radius3 : radius 3 = radius 3 := rfl + have radius6 : radius 6 = radius 3 := (r36).symm + have radius7 : radius 7 = radius 3 := ((r36).trans r67).symm + have radius4 : radius 4 = radius 4 := rfl + have radius5 : radius 5 = radius 4 := (r45).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 3 ^ 2 / base + let s2 : ℝ := radius 4 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d14 : sqDist (p 1) (p 4) / base = s2 := by + rw [sqDist, dist_comm, hdist 4 1 (by decide), radius4] + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d24 : sqDist (p 2) (p 4) / base = s2 := by + rw [sqDist, dist_comm, hdist 4 2 (by decide), radius4] + have d25 : sqDist (p 2) (p 5) / base = 1 := by + rw [sqDist, hdist 2 5 (by decide), radius2] + exact div_self hbase + have d45 : sqDist (p 4) (p 5) / base = s2 := by + rw [sqDist, hdist 4 5 (by decide), radius4] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 4) hbase + rw [d01, d02, d04, d12, d14, d24] at hcm0 + have e0 : -2*s2 ^ 2 + 8*s2 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 1) (p 2) (p 4) (p 5) hbase + rw [d12, d14, d15, d24, d25, d45] at hcm1 + have e1 : 6*s2 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have certificate : + (9/4 : ℝ) * (-2*s2 ^ 2 + 8*s2 - 2) + + (3/4*s2-11/4 : ℝ) * (6*s2 - 2) = 1 := by + ring + rw [e0, e1] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra03.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra03.lean new file mode 100644 index 000000000..0c209d0ed --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra03.lean @@ -0,0 +1,93 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra03 -/ + +namespace Erdos97Octagon + +/-- Residual class 3 has no injective planar realisation. -/ +theorem residualRepresentative03_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative03 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative03 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative03]) + have r02 : radius 0 = radius 2 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative03]) + have r03 : radius 0 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative03]) + have r04 : radius 0 = radius 4 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative03]) + have r56 : radius 5 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative03]) + have r57 : radius 5 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative03]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 0 := (r02).symm + have radius3 : radius 3 = radius 0 := (r03).symm + have radius4 : radius 4 = radius 0 := (r04).symm + have radius5 : radius 5 = radius 5 := rfl + have radius6 : radius 6 = radius 5 := (r56).symm + have radius7 : radius 7 = radius 5 := (r57).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 5 ^ 2 / base + have d13 : sqDist (p 1) (p 3) / base = 1 := by + rw [sqDist, hdist 1 3 (by decide), radius1] + exact div_self hbase + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d16 : sqDist (p 1) (p 6) / base = s1 := by + rw [sqDist, dist_comm, hdist 6 1 (by decide), radius6] + have d17 : sqDist (p 1) (p 7) / base = s1 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d35 : sqDist (p 3) (p 5) / base = 1 := by + rw [sqDist, hdist 3 5 (by decide), radius3] + exact div_self hbase + have d36 : sqDist (p 3) (p 6) / base = s1 := by + rw [sqDist, dist_comm, hdist 6 3 (by decide), radius6] + have d37 : sqDist (p 3) (p 7) / base = 1 := by + rw [sqDist, hdist 3 7 (by decide), radius3] + exact div_self hbase + have d56 : sqDist (p 5) (p 6) / base = s1 := by + rw [sqDist, hdist 5 6 (by decide), radius5] + have d57 : sqDist (p 5) (p 7) / base = s1 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + have hcm0 := cm4_normalized_eq_zero + (p 1) (p 3) (p 5) (p 7) hbase + rw [d13, d15, d17, d35, d37, d57] at hcm0 + have e0 : -2*s1 ^ 2 + 8*s1 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 1) (p 3) (p 5) (p 6) hbase + rw [d13, d15, d16, d35, d36, d56] at hcm1 + have e1 : 6*s1 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have certificate : + (9/4 : ℝ) * (-2*s1 ^ 2 + 8*s1 - 2) + + (3/4*s1-11/4 : ℝ) * (6*s1 - 2) = 1 := by + ring + rw [e0, e1] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra04.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra04.lean new file mode 100644 index 000000000..bf6b49d8e --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra04.lean @@ -0,0 +1,145 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra04 -/ + +namespace Erdos97Octagon + +/-- Residual class 4 has no injective planar realisation. -/ +theorem residualRepresentative04_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative04 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative04 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative04]) + have r02 : radius 0 = radius 2 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative04]) + have r34 : radius 3 = radius 4 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative04]) + have r56 : radius 5 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative04]) + have r57 : radius 5 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative04]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 0 := (r02).symm + have radius3 : radius 3 = radius 3 := rfl + have radius4 : radius 4 = radius 3 := (r34).symm + have radius5 : radius 5 = radius 5 := rfl + have radius6 : radius 6 = radius 5 := (r56).symm + have radius7 : radius 7 = radius 5 := (r57).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 3 ^ 2 / base + let s2 : ℝ := radius 5 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d03 : sqDist (p 0) (p 3) / base = 1 := by + rw [sqDist, hdist 0 3 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d05 : sqDist (p 0) (p 5) / base = s2 := by + rw [sqDist, dist_comm, hdist 5 0 (by decide), radius5] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d13 : sqDist (p 1) (p 3) / base = 1 := by + rw [sqDist, hdist 1 3 (by decide), radius1] + exact div_self hbase + have d14 : sqDist (p 1) (p 4) / base = s1 := by + rw [sqDist, dist_comm, hdist 4 1 (by decide), radius4] + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d17 : sqDist (p 1) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d23 : sqDist (p 2) (p 3) / base = s1 := by + rw [sqDist, dist_comm, hdist 3 2 (by decide), radius3] + have d24 : sqDist (p 2) (p 4) / base = 1 := by + rw [sqDist, hdist 2 4 (by decide), radius2] + exact div_self hbase + let w2_5 : ℝ := sqDist (p 2) (p 5) / base + have d25 : sqDist (p 2) (p 5) / base = w2_5 := rfl + have d34 : sqDist (p 3) (p 4) / base = s1 := by + rw [sqDist, hdist 3 4 (by decide), radius3] + have d35 : sqDist (p 3) (p 5) / base = s2 := by + rw [sqDist, dist_comm, hdist 5 3 (by decide), radius5] + have d45 : sqDist (p 4) (p 5) / base = s1 := by + rw [sqDist, hdist 4 5 (by decide), radius4] + have d47 : sqDist (p 4) (p 7) / base = s1 := by + rw [sqDist, hdist 4 7 (by decide), radius4] + have d57 : sqDist (p 5) (p 7) / base = s2 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 2) (p 4) (p 5) hbase + rw [d02, d04, d05, d24, d25, d45] at hcm0 + have e0 : + -2*s1 ^ 2 + 2*s1*s2 + 2*s1*w2_5 + 2*s1 - 2*s2 ^ 2 + + 2*s2*w2_5 + 2*s2 - 2*w2_5 ^ 2 + 2*w2_5 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 3) hbase + rw [d01, d02, d03, d12, d13, d23] at hcm1 + have e1 : -2*s1 ^ 2 + 6*s1 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have hcm2 := cm4_normalized_eq_zero + (p 0) (p 1) (p 3) (p 4) hbase + rw [d01, d03, d04, d13, d14, d34] at hcm2 + have e2 : -2*s1 ^ 2 + 8*s1 - 2 = 0 := by + dsimp [cm4] at hcm2 + nlinarith only [hcm2] + have hcm3 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 5) hbase + rw [d01, d02, d05, d12, d15, d25] at hcm3 + have e3 : -2*s2 ^ 2 + 2*s2*w2_5 + 4*s2 - 2*w2_5 ^ 2 + 4*w2_5 - 2 = 0 := by + dsimp [cm4] at hcm3 + nlinarith only [hcm3] + have hcm4 := cm4_normalized_eq_zero + (p 0) (p 1) (p 3) (p 5) hbase + rw [d01, d03, d05, d13, d15, d35] at hcm4 + have e4 : -2*s2 ^ 2 + 8*s2 - 2 = 0 := by + dsimp [cm4] at hcm4 + nlinarith only [hcm4] + have hcm5 := cm4_normalized_eq_zero + (p 1) (p 4) (p 5) (p 7) hbase + rw [d14, d15, d17, d45, d47, d57] at hcm5 + have e5 : 8*s1*s2 - 2*s1 - 2*s2 ^ 2 = 0 := by + dsimp [cm4] at hcm5 + nlinarith only [hcm5] + have certificate : + (-1/4 : ℝ) * + (-2*s1 ^ 2 + 2*s1*s2 + 2*s1*w2_5 + 2*s1 - 2*s2 ^ 2 + + 2*s2*w2_5 + 2*s2 - 2*w2_5 ^ 2 + 2*w2_5 - 2) + + (-1/4*w2_5+11/16 : ℝ) * (-2*s1 ^ 2 + 6*s1) + + (1/4*w2_5-7/16 : ℝ) * (-2*s1 ^ 2 + 8*s1 - 2) + + (1/4 : ℝ) * (-2*s2 ^ 2 + 2*s2*w2_5 + 4*s2 - 2*w2_5 ^ 2 + 4*w2_5 - 2) + + (-1/16 : ℝ) * (-2*s2 ^ 2 + 8*s2 - 2) + + (1/16 : ℝ) * (8*s1*s2 - 2*s1 - 2*s2 ^ 2) = 1 := by + ring + rw [e0, e1, e2, e3, e4, e5] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra05.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra05.lean new file mode 100644 index 000000000..2caec51bd --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra05.lean @@ -0,0 +1,173 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra05 -/ + +namespace Erdos97Octagon + +/-- Residual class 5 has no injective planar realisation. -/ +theorem residualRepresentative05_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative05 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative05 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative05]) + have r23 : radius 2 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative05]) + have r46 : radius 4 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative05]) + have r57 : radius 5 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative05]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 2 := rfl + have radius3 : radius 3 = radius 2 := (r23).symm + have radius4 : radius 4 = radius 4 := rfl + have radius6 : radius 6 = radius 4 := (r46).symm + have radius5 : radius 5 = radius 5 := rfl + have radius7 : radius 7 = radius 5 := (r57).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 2 ^ 2 / base + let s2 : ℝ := radius 4 ^ 2 / base + let s3 : ℝ := radius 5 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d03 : sqDist (p 0) (p 3) / base = 1 := by + rw [sqDist, hdist 0 3 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d05 : sqDist (p 0) (p 5) / base = s3 := by + rw [sqDist, dist_comm, hdist 5 0 (by decide), radius5] + have d06 : sqDist (p 0) (p 6) / base = s2 := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d07 : sqDist (p 0) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 0 (by decide), radius7] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d13 : sqDist (p 1) (p 3) / base = s1 := by + rw [sqDist, dist_comm, hdist 3 1 (by decide), radius3] + have d14 : sqDist (p 1) (p 4) / base = s2 := by + rw [sqDist, dist_comm, hdist 4 1 (by decide), radius4] + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d16 : sqDist (p 1) (p 6) / base = 1 := by + rw [sqDist, hdist 1 6 (by decide), radius1] + exact div_self hbase + have d17 : sqDist (p 1) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d23 : sqDist (p 2) (p 3) / base = s1 := by + rw [sqDist, hdist 2 3 (by decide), radius2] + have d24 : sqDist (p 2) (p 4) / base = s1 := by + rw [sqDist, hdist 2 4 (by decide), radius2] + have d25 : sqDist (p 2) (p 5) / base = s1 := by + rw [sqDist, hdist 2 5 (by decide), radius2] + have d26 : sqDist (p 2) (p 6) / base = s2 := by + rw [sqDist, dist_comm, hdist 6 2 (by decide), radius6] + have d27 : sqDist (p 2) (p 7) / base = s1 := by + rw [sqDist, hdist 2 7 (by decide), radius2] + have d34 : sqDist (p 3) (p 4) / base = s2 := by + rw [sqDist, dist_comm, hdist 4 3 (by decide), radius4] + have d36 : sqDist (p 3) (p 6) / base = s1 := by + rw [sqDist, hdist 3 6 (by decide), radius3] + have d45 : sqDist (p 4) (p 5) / base = s2 := by + rw [sqDist, hdist 4 5 (by decide), radius4] + have d46 : sqDist (p 4) (p 6) / base = s2 := by + rw [sqDist, hdist 4 6 (by decide), radius4] + have d47 : sqDist (p 4) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 4 (by decide), radius7] + have d57 : sqDist (p 5) (p 7) / base = s3 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + have d67 : sqDist (p 6) (p 7) / base = s2 := by + rw [sqDist, hdist 6 7 (by decide), radius6] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 4) hbase + rw [d01, d02, d04, d12, d14, d24] at hcm0 + have e0 : -2*s1 ^ 2 + 2*s1*s2 + 4*s1 - 2*s2 ^ 2 + 4*s2 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 5) hbase + rw [d01, d02, d05, d12, d15, d25] at hcm1 + have e1 : -2*s1 ^ 2 + 2*s1*s3 + 4*s1 - 2*s3 ^ 2 + 4*s3 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have hcm2 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 7) hbase + rw [d01, d02, d07, d12, d17, d27] at hcm2 + have e2 : -2*s1 ^ 2 + 4*s1*s3 + 2*s1 - 2*s3 ^ 2 + 4*s3 - 2 = 0 := by + dsimp [cm4] at hcm2 + nlinarith only [hcm2] + have hcm3 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 3) hbase + rw [d01, d02, d03, d12, d13, d23] at hcm3 + have e3 : -2*s1 ^ 2 + 8*s1 - 2 = 0 := by + dsimp [cm4] at hcm3 + nlinarith only [hcm3] + have hcm4 := cm4_normalized_eq_zero + (p 1) (p 3) (p 4) (p 6) hbase + rw [d13, d14, d16, d34, d36, d46] at hcm4 + have e4 : -2*s1 ^ 2 + 8*s1*s2 - 2*s2 = 0 := by + dsimp [cm4] at hcm4 + nlinarith only [hcm4] + have hcm5 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 6) hbase + rw [d01, d02, d06, d12, d16, d26] at hcm5 + have e5 : -2*s2 ^ 2 + 8*s2 - 2 = 0 := by + dsimp [cm4] at hcm5 + nlinarith only [hcm5] + have hcm6 := cm4_normalized_eq_zero + (p 1) (p 4) (p 5) (p 7) hbase + rw [d14, d15, d17, d45, d47, d57] at hcm6 + have e6 : -2*s2 ^ 2 + 8*s2*s3 - 2*s3 = 0 := by + dsimp [cm4] at hcm6 + nlinarith only [hcm6] + have hcm7 := cm4_normalized_eq_zero + (p 0) (p 1) (p 5) (p 7) hbase + rw [d01, d05, d07, d15, d17, d57] at hcm7 + have e7 : -2*s3 ^ 3 + 8*s3 ^ 2 - 2*s3 = 0 := by + dsimp [cm4] at hcm7 + nlinarith only [hcm7] + have hcm8 := cm4_normalized_eq_zero + (p 0) (p 4) (p 6) (p 7) hbase + rw [d04, d06, d07, d46, d47, d67] at hcm8 + have e8 : 8*s2*s3 - 2*s2 - 2*s3 ^ 2 = 0 := by + dsimp [cm4] at hcm8 + nlinarith only [hcm8] + have certificate : + (-47*s3+9 : ℝ) * (-2*s1 ^ 2 + 2*s1*s2 + 4*s1 - 2*s2 ^ 2 + 4*s2 - 2) + + (94*s3-18 : ℝ) * (-2*s1 ^ 2 + 2*s1*s3 + 4*s1 - 2*s3 ^ 2 + 4*s3 - 2) + + (-47*s3+9 : ℝ) * (-2*s1 ^ 2 + 4*s1*s3 + 2*s1 - 2*s3 ^ 2 + 4*s3 - 2) + + (-47/4*s3+9/4 : ℝ) * (-2*s1 ^ 2 + 8*s1 - 2) + + (47/4*s3-9/4 : ℝ) * (-2*s1 ^ 2 + 8*s1*s2 - 2*s2) + + (187/12*s3-11/4 : ℝ) * (-2*s2 ^ 2 + 8*s2 - 2) + + (377/12*s3-25/4 : ℝ) * (-2*s2 ^ 2 + 8*s2*s3 - 2*s3) + + (-187/12 : ℝ) * (-2*s3 ^ 3 + 8*s3 ^ 2 - 2*s3) + + (-377/12*s3+37/4 : ℝ) * (8*s2*s3 - 2*s2 - 2*s3 ^ 2) = 1 := by + ring + rw [e0, e1, e2, e3, e4, e5, e6, e7, e8] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra06.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra06.lean new file mode 100644 index 000000000..0bc2645ec --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra06.lean @@ -0,0 +1,113 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra06 -/ + +namespace Erdos97Octagon + +/-- Residual class 6 has no injective planar realisation. -/ +theorem residualRepresentative06_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative06 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative06 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative06]) + have r02 : radius 0 = radius 2 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative06]) + have r03 : radius 0 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative06]) + have r46 : radius 4 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative06]) + have r47 : radius 4 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative06]) + have r65 : radius 6 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative06]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 0 := (r02).symm + have radius3 : radius 3 = radius 0 := (r03).symm + have radius4 : radius 4 = radius 4 := rfl + have radius5 : radius 5 = radius 4 := ((r46).trans r65).symm + have radius6 : radius 6 = radius 4 := (r46).symm + have radius7 : radius 7 = radius 4 := (r47).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 4 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d05 : sqDist (p 0) (p 5) / base = s1 := by + rw [sqDist, dist_comm, hdist 5 0 (by decide), radius5] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d14 : sqDist (p 1) (p 4) / base = s1 := by + rw [sqDist, dist_comm, hdist 4 1 (by decide), radius4] + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d24 : sqDist (p 2) (p 4) / base = 1 := by + rw [sqDist, hdist 2 4 (by decide), radius2] + exact div_self hbase + have d25 : sqDist (p 2) (p 5) / base = s1 := by + rw [sqDist, dist_comm, hdist 5 2 (by decide), radius5] + have d26 : sqDist (p 2) (p 6) / base = 1 := by + rw [sqDist, hdist 2 6 (by decide), radius2] + exact div_self hbase + have d27 : sqDist (p 2) (p 7) / base = s1 := by + rw [sqDist, dist_comm, hdist 7 2 (by decide), radius7] + have d56 : sqDist (p 5) (p 6) / base = s1 := by + rw [sqDist, hdist 5 6 (by decide), radius5] + have d57 : sqDist (p 5) (p 7) / base = s1 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + have d67 : sqDist (p 6) (p 7) / base = s1 := by + rw [sqDist, hdist 6 7 (by decide), radius6] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 4) hbase + rw [d01, d02, d04, d12, d14, d24] at hcm0 + have e0 : -2*s1 ^ 2 + 6*s1 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 5) hbase + rw [d01, d02, d05, d12, d15, d25] at hcm1 + have e1 : -2*s1 ^ 2 + 8*s1 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have hcm2 := cm4_normalized_eq_zero + (p 2) (p 5) (p 6) (p 7) hbase + rw [d25, d26, d27, d56, d57, d67] at hcm2 + have e2 : 6*s1 ^ 2 - 2*s1 = 0 := by + dsimp [cm4] at hcm2 + nlinarith only [hcm2] + have certificate : + (11/16 : ℝ) * (-2*s1 ^ 2 + 6*s1) + + (-1/2 : ℝ) * (-2*s1 ^ 2 + 8*s1 - 2) + + (1/16 : ℝ) * (6*s1 ^ 2 - 2*s1) = 1 := by + ring + rw [e0, e1, e2] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra07.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra07.lean new file mode 100644 index 000000000..3a15e839d --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra07.lean @@ -0,0 +1,129 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra07 -/ + +namespace Erdos97Octagon + +/-- Residual class 7 has no injective planar realisation. -/ +theorem residualRepresentative07_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative07 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative07 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative07]) + have r23 : radius 2 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative07]) + have r45 : radius 4 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative07]) + have r67 : radius 6 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative07]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 2 := rfl + have radius3 : radius 3 = radius 2 := (r23).symm + have radius4 : radius 4 = radius 4 := rfl + have radius5 : radius 5 = radius 4 := (r45).symm + have radius6 : radius 6 = radius 6 := rfl + have radius7 : radius 7 = radius 6 := (r67).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 2 ^ 2 / base + let s2 : ℝ := radius 4 ^ 2 / base + let s3 : ℝ := radius 6 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d05 : sqDist (p 0) (p 5) / base = s2 := by + rw [sqDist, dist_comm, hdist 5 0 (by decide), radius5] + have d06 : sqDist (p 0) (p 6) / base = s3 := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d07 : sqDist (p 0) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 0 (by decide), radius7] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d16 : sqDist (p 1) (p 6) / base = s3 := by + rw [sqDist, dist_comm, hdist 6 1 (by decide), radius6] + have d17 : sqDist (p 1) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d25 : sqDist (p 2) (p 5) / base = s2 := by + rw [sqDist, dist_comm, hdist 5 2 (by decide), radius5] + have d45 : sqDist (p 4) (p 5) / base = s2 := by + rw [sqDist, hdist 4 5 (by decide), radius4] + have d46 : sqDist (p 4) (p 6) / base = s2 := by + rw [sqDist, hdist 4 6 (by decide), radius4] + have d47 : sqDist (p 4) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 4 (by decide), radius7] + have d56 : sqDist (p 5) (p 6) / base = s3 := by + rw [sqDist, dist_comm, hdist 6 5 (by decide), radius6] + have d57 : sqDist (p 5) (p 7) / base = s2 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + have d67 : sqDist (p 6) (p 7) / base = s3 := by + rw [sqDist, hdist 6 7 (by decide), radius6] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 5) hbase + rw [d01, d02, d05, d12, d15, d25] at hcm0 + have e0 : -2*s2 ^ 2 + 8*s2 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 4) (p 6) (p 7) hbase + rw [d04, d06, d07, d46, d47, d67] at hcm1 + have e1 : -2*s2 ^ 2*s3 + 4*s2*s3 ^ 2 + 2*s2*s3 - 2*s3 ^ 3 + 4*s3 ^ 2 - 2*s3 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have hcm2 := cm4_normalized_eq_zero + (p 0) (p 5) (p 6) (p 7) hbase + rw [d05, d06, d07, d56, d57, d67] at hcm2 + have e2 : -2*s2 ^ 2*s3 + 8*s2*s3 ^ 2 - 2*s3 ^ 3 = 0 := by + dsimp [cm4] at hcm2 + nlinarith only [hcm2] + have hcm3 := cm4_normalized_eq_zero + (p 0) (p 1) (p 6) (p 7) hbase + rw [d01, d06, d07, d16, d17, d67] at hcm3 + have e3 : 6*s3 ^ 2 - 2*s3 = 0 := by + dsimp [cm4] at hcm3 + nlinarith only [hcm3] + have hcm4 := cm4_normalized_eq_zero + (p 0) (p 4) (p 5) (p 7) hbase + rw [d04, d05, d07, d45, d47, d57] at hcm4 + have e4 : 8*s2*s3 - 2*s2 - 2*s3 ^ 2 = 0 := by + dsimp [cm4] at hcm4 + nlinarith only [hcm4] + have certificate : + (-1/2 : ℝ) * (-2*s2 ^ 2 + 8*s2 - 2) + + (-25/4 : ℝ) * + (-2*s2 ^ 2*s3 + 4*s2*s3 ^ 2 + 2*s2*s3 - 2*s3 ^ 3 + + 4*s3 ^ 2 - 2*s3) + + (33/4 : ℝ) * (-2*s2 ^ 2*s3 + 8*s2*s3 ^ 2 - 2*s3 ^ 3) + + (-37*s2+33/4*s3+25/4 : ℝ) * (6*s3 ^ 2 - 2*s3) + + (1/2*s2+91/4*s3-2 : ℝ) * (8*s2*s3 - 2*s2 - 2*s3 ^ 2) = 1 := by + ring + rw [e0, e1, e2, e3, e4] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra08.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra08.lean new file mode 100644 index 000000000..df48db21f --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra08.lean @@ -0,0 +1,101 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra08 -/ + +namespace Erdos97Octagon + +/-- Residual class 8 has no injective planar realisation. -/ +theorem residualRepresentative08_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative08 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative08 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative08]) + have r04 : radius 0 = radius 4 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative08]) + have r15 : radius 1 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative08]) + have r23 : radius 2 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative08]) + have r67 : radius 6 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative08]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius4 : radius 4 = radius 0 := (r04).symm + have radius5 : radius 5 = radius 0 := ((r01).trans r15).symm + have radius2 : radius 2 = radius 2 := rfl + have radius3 : radius 3 = radius 2 := (r23).symm + have radius6 : radius 6 = radius 6 := rfl + have radius7 : radius 7 = radius 6 := (r67).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 2 ^ 2 / base + let s2 : ℝ := radius 6 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d07 : sqDist (p 0) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 0 (by decide), radius7] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d17 : sqDist (p 1) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d27 : sqDist (p 2) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 2 (by decide), radius7] + have d45 : sqDist (p 4) (p 5) / base = 1 := by + rw [sqDist, hdist 4 5 (by decide), radius4] + exact div_self hbase + have d46 : sqDist (p 4) (p 6) / base = 1 := by + rw [sqDist, hdist 4 6 (by decide), radius4] + exact div_self hbase + have d47 : sqDist (p 4) (p 7) / base = 1 := by + rw [sqDist, hdist 4 7 (by decide), radius4] + exact div_self hbase + have d56 : sqDist (p 5) (p 6) / base = 1 := by + rw [sqDist, hdist 5 6 (by decide), radius5] + exact div_self hbase + have d57 : sqDist (p 5) (p 7) / base = 1 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + exact div_self hbase + have d67 : sqDist (p 6) (p 7) / base = s2 := by + rw [sqDist, hdist 6 7 (by decide), radius6] + have hcm0 := cm4_normalized_eq_zero + (p 4) (p 5) (p 6) (p 7) hbase + rw [d45, d46, d47, d56, d57, d67] at hcm0 + have e0 : -2*s2 ^ 2 + 6*s2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 7) hbase + rw [d01, d02, d07, d12, d17, d27] at hcm1 + have e1 : 6*s2 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have certificate : + (9/16 : ℝ) * (-2*s2 ^ 2 + 6*s2) + + (3/16*s2-1/2 : ℝ) * (6*s2 - 2) = 1 := by + ring + rw [e0, e1] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra09.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra09.lean new file mode 100644 index 000000000..067a90503 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra09.lean @@ -0,0 +1,94 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra09 -/ + +namespace Erdos97Octagon + +/-- Residual class 9 has no injective planar realisation. -/ +theorem residualRepresentative09_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative09 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative09 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative09]) + have r04 : radius 0 = radius 4 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative09]) + have r15 : radius 1 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative09]) + have r23 : radius 2 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative09]) + have r26 : radius 2 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative09]) + have r37 : radius 3 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative09]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius4 : radius 4 = radius 0 := (r04).symm + have radius5 : radius 5 = radius 0 := ((r01).trans r15).symm + have radius2 : radius 2 = radius 2 := rfl + have radius3 : radius 3 = radius 2 := (r23).symm + have radius6 : radius 6 = radius 2 := (r26).symm + have radius7 : radius 7 = radius 2 := ((r23).trans r37).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 2 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d03 : sqDist (p 0) (p 3) / base = 1 := by + rw [sqDist, hdist 0 3 (by decide), radius0] + exact div_self hbase + have d06 : sqDist (p 0) (p 6) / base = s1 := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d13 : sqDist (p 1) (p 3) / base = 1 := by + rw [sqDist, hdist 1 3 (by decide), radius1] + exact div_self hbase + have d16 : sqDist (p 1) (p 6) / base = s1 := by + rw [sqDist, dist_comm, hdist 6 1 (by decide), radius6] + have d23 : sqDist (p 2) (p 3) / base = s1 := by + rw [sqDist, hdist 2 3 (by decide), radius2] + have d26 : sqDist (p 2) (p 6) / base = s1 := by + rw [sqDist, hdist 2 6 (by decide), radius2] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 3) hbase + rw [d01, d02, d03, d12, d13, d23] at hcm0 + have e0 : -2*s1 ^ 2 + 6*s1 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 6) hbase + rw [d01, d02, d06, d12, d16, d26] at hcm1 + have e1 : 6*s1 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have certificate : + (9/16 : ℝ) * (-2*s1 ^ 2 + 6*s1) + + (3/16*s1-1/2 : ℝ) * (6*s1 - 2) = 1 := by + ring + rw [e0, e1] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra10.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra10.lean new file mode 100644 index 000000000..a3c1d356e --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra10.lean @@ -0,0 +1,147 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra10 -/ + +namespace Erdos97Octagon + +/-- Residual class 10 has no injective planar realisation. -/ +theorem residualRepresentative10_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative10 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative10 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative10]) + have r23 : radius 2 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative10]) + have r45 : radius 4 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative10]) + have r67 : radius 6 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative10]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 2 := rfl + have radius3 : radius 3 = radius 2 := (r23).symm + have radius4 : radius 4 = radius 4 := rfl + have radius5 : radius 5 = radius 4 := (r45).symm + have radius6 : radius 6 = radius 6 := rfl + have radius7 : radius 7 = radius 6 := (r67).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 2 ^ 2 / base + let s2 : ℝ := radius 4 ^ 2 / base + let s3 : ℝ := radius 6 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d03 : sqDist (p 0) (p 3) / base = 1 := by + rw [sqDist, hdist 0 3 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d05 : sqDist (p 0) (p 5) / base = s2 := by + rw [sqDist, dist_comm, hdist 5 0 (by decide), radius5] + have d06 : sqDist (p 0) (p 6) / base = s3 := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d07 : sqDist (p 0) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 0 (by decide), radius7] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d13 : sqDist (p 1) (p 3) / base = 1 := by + rw [sqDist, hdist 1 3 (by decide), radius1] + exact div_self hbase + have d14 : sqDist (p 1) (p 4) / base = s2 := by + rw [sqDist, dist_comm, hdist 4 1 (by decide), radius4] + have d16 : sqDist (p 1) (p 6) / base = s3 := by + rw [sqDist, dist_comm, hdist 6 1 (by decide), radius6] + have d17 : sqDist (p 1) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d23 : sqDist (p 2) (p 3) / base = s1 := by + rw [sqDist, hdist 2 3 (by decide), radius2] + have d24 : sqDist (p 2) (p 4) / base = s1 := by + rw [sqDist, hdist 2 4 (by decide), radius2] + have d26 : sqDist (p 2) (p 6) / base = s1 := by + rw [sqDist, hdist 2 6 (by decide), radius2] + have d27 : sqDist (p 2) (p 7) / base = s3 := by + rw [sqDist, dist_comm, hdist 7 2 (by decide), radius7] + have d45 : sqDist (p 4) (p 5) / base = s2 := by + rw [sqDist, hdist 4 5 (by decide), radius4] + have d46 : sqDist (p 4) (p 6) / base = s2 := by + rw [sqDist, hdist 4 6 (by decide), radius4] + have d47 : sqDist (p 4) (p 7) / base = s2 := by + rw [sqDist, hdist 4 7 (by decide), radius4] + have d56 : sqDist (p 5) (p 6) / base = s2 := by + rw [sqDist, hdist 5 6 (by decide), radius5] + have d57 : sqDist (p 5) (p 7) / base = s2 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + have d67 : sqDist (p 6) (p 7) / base = s3 := by + rw [sqDist, hdist 6 7 (by decide), radius6] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 4) hbase + rw [d01, d02, d04, d12, d14, d24] at hcm0 + have e0 : -2*s1 ^ 2 + 2*s1*s2 + 4*s1 - 2*s2 ^ 2 + 4*s2 - 2 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 6) hbase + rw [d01, d02, d06, d12, d16, d26] at hcm1 + have e1 : -2*s1 ^ 2 + 4*s1*s3 + 2*s1 - 2*s3 ^ 2 + 4*s3 - 2 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have hcm2 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 3) hbase + rw [d01, d02, d03, d12, d13, d23] at hcm2 + have e2 : -2*s1 ^ 2 + 6*s1 = 0 := by + dsimp [cm4] at hcm2 + nlinarith only [hcm2] + have hcm3 := cm4_normalized_eq_zero + (p 4) (p 5) (p 6) (p 7) hbase + rw [d45, d46, d47, d56, d57, d67] at hcm3 + have e3 : 6*s2 ^ 2*s3 - 2*s2*s3 ^ 2 = 0 := by + dsimp [cm4] at hcm3 + nlinarith only [hcm3] + have hcm4 := cm4_normalized_eq_zero + (p 0) (p 5) (p 6) (p 7) hbase + rw [d05, d06, d07, d56, d57, d67] at hcm4 + have e4 : 6*s2*s3 ^ 2 - 2*s3 ^ 3 = 0 := by + dsimp [cm4] at hcm4 + nlinarith only [hcm4] + have hcm5 := cm4_normalized_eq_zero + (p 0) (p 1) (p 2) (p 7) hbase + rw [d01, d02, d07, d12, d17, d27] at hcm5 + have e5 : 6*s3 - 2 = 0 := by + dsimp [cm4] at hcm5 + nlinarith only [hcm5] + have certificate : + (-81/80 : ℝ) * (-2*s1 ^ 2 + 2*s1*s2 + 4*s1 - 2*s2 ^ 2 + 4*s2 - 2) + + (-243/320*s2+243/320 : ℝ) * (-2*s1 ^ 2 + 4*s1*s3 + 2*s1 - 2*s3 ^ 2 + 4*s3 - 2) + + (243/320*s2+81/320 : ℝ) * (-2*s1 ^ 2 + 6*s1) + + (-81/80 : ℝ) * (6*s2 ^ 2*s3 - 2*s2*s3 ^ 2) + + (189/40 : ℝ) * (6*s2*s3 ^ 2 - 2*s3 ^ 3) + + (81/160*s1*s2-81/160*s1+81/80*s2 ^ 2-1701/320*s2*s3-81/64*s2+ + 63/40*s3 ^ 2+249/320*s3-79/320 : ℝ) * + (6*s3 - 2) = 1 := by + ring + rw [e0, e1, e2, e3, e4, e5] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra11.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra11.lean new file mode 100644 index 000000000..f49ac0fec --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra11.lean @@ -0,0 +1,555 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives +import Mathlib.Analysis.Convex.Combination + +/-! # The final residual incidence class + +The metric constraints of residual class 11 determine a normalized quadratic +parameter. Each of its two possible ranges puts a labelled vertex in the +convex hull of four other vertices. +-/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace + +private structure Residual11Distances (p : Vertex → Plane) where + base : ℝ + s : ℝ + w05 : ℝ + w13 : ℝ + w27 : ℝ + w46 : ℝ + hbase : base ≠ 0 + hbase_pos : 0 < base + hs : 0 < s + d01 : sqDist (p 0) (p 1) / base = 1 + d02 : sqDist (p 0) (p 2) / base = 1 + d03 : sqDist (p 0) (p 3) / base = 1 + d04 : sqDist (p 0) (p 4) / base = 1 + d05 : sqDist (p 0) (p 5) / base = w05 + d06 : sqDist (p 0) (p 6) / base = s + d07 : sqDist (p 0) (p 7) / base = s + d12 : sqDist (p 1) (p 2) / base = 1 + d13 : sqDist (p 1) (p 3) / base = w13 + d14 : sqDist (p 1) (p 4) / base = s + d15 : sqDist (p 1) (p 5) / base = 1 + d16 : sqDist (p 1) (p 6) / base = 1 + d17 : sqDist (p 1) (p 7) / base = s + d23 : sqDist (p 2) (p 3) / base = s + d24 : sqDist (p 2) (p 4) / base = s + d25 : sqDist (p 2) (p 5) / base = s + d26 : sqDist (p 2) (p 6) / base = s + d27 : sqDist (p 2) (p 7) / base = w27 + d34 : sqDist (p 3) (p 4) / base = 1 + d35 : sqDist (p 3) (p 5) / base = 1 + d36 : sqDist (p 3) (p 6) / base = s + d37 : sqDist (p 3) (p 7) / base = 1 + d45 : sqDist (p 4) (p 5) / base = s + d46 : sqDist (p 4) (p 6) / base = w46 + d47 : sqDist (p 4) (p 7) / base = s + d56 : sqDist (p 5) (p 6) / base = 1 + d57 : sqDist (p 5) (p 7) / base = 1 + d67 : sqDist (p 6) (p 7) / base = s + +private noncomputable def residual11_distances + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + (hRealises : Realises p residualRepresentative11) : + Residual11Distances p := by + classical + let radius := Classical.choose + (exists_positive_radii hC.injective residualRepresentative11 hRealises) + have hradius := Classical.choose_spec + (exists_positive_radii hC.injective residualRepresentative11 hRealises) + have hpos : ∀ v : Vertex, 0 < radius v := by + simpa [radius] using hradius.1 + have hdist : + ∀ v w : Vertex, w ∈ residualRepresentative11.targets v → + dist (p v) (p w) = radius v := by + simpa [radius] using hradius.2 + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative11]) + have r03 : radius 0 = radius 3 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative11]) + have r15 : radius 1 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative11]) + have r24 : radius 2 = radius 4 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative11]) + have r26 : radius 2 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative11]) + have r47 : radius 4 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative11]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := r01.symm + have radius2 : radius 2 = radius 2 := rfl + have radius3 : radius 3 = radius 0 := r03.symm + have radius4 : radius 4 = radius 2 := r24.symm + have radius5 : radius 5 = radius 0 := (r01.trans r15).symm + have radius6 : radius 6 = radius 2 := r26.symm + have radius7 : radius 7 = radius 2 := (r24.trans r47).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + have hbase_pos : 0 < base := by + dsimp [base] + positivity + let s : ℝ := radius 2 ^ 2 / base + have hs : 0 < s := by + dsimp [s] + exact div_pos (pow_pos (hpos 2) 2) hbase_pos + let w05 : ℝ := sqDist (p 0) (p 5) / base + let w13 : ℝ := sqDist (p 1) (p 3) / base + let w27 : ℝ := sqDist (p 2) (p 7) / base + let w46 : ℝ := sqDist (p 4) (p 6) / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d03 : sqDist (p 0) (p 3) / base = 1 := by + rw [sqDist, hdist 0 3 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d05 : sqDist (p 0) (p 5) / base = w05 := rfl + have d06 : sqDist (p 0) (p 6) / base = s := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d07 : sqDist (p 0) (p 7) / base = s := by + rw [sqDist, dist_comm, hdist 7 0 (by decide), radius7] + have d12 : sqDist (p 1) (p 2) / base = 1 := by + rw [sqDist, hdist 1 2 (by decide), radius1] + exact div_self hbase + have d13 : sqDist (p 1) (p 3) / base = w13 := rfl + have d14 : sqDist (p 1) (p 4) / base = s := by + rw [sqDist, dist_comm, hdist 4 1 (by decide), radius4] + have d15 : sqDist (p 1) (p 5) / base = 1 := by + rw [sqDist, hdist 1 5 (by decide), radius1] + exact div_self hbase + have d16 : sqDist (p 1) (p 6) / base = 1 := by + rw [sqDist, hdist 1 6 (by decide), radius1] + exact div_self hbase + have d17 : sqDist (p 1) (p 7) / base = s := by + rw [sqDist, dist_comm, hdist 7 1 (by decide), radius7] + have d23 : sqDist (p 2) (p 3) / base = s := by + rw [sqDist, hdist 2 3 (by decide), radius2] + have d24 : sqDist (p 2) (p 4) / base = s := by + rw [sqDist, hdist 2 4 (by decide), radius2] + have d25 : sqDist (p 2) (p 5) / base = s := by + rw [sqDist, hdist 2 5 (by decide), radius2] + have d26 : sqDist (p 2) (p 6) / base = s := by + rw [sqDist, hdist 2 6 (by decide), radius2] + have d27 : sqDist (p 2) (p 7) / base = w27 := rfl + have d34 : sqDist (p 3) (p 4) / base = 1 := by + rw [sqDist, hdist 3 4 (by decide), radius3] + exact div_self hbase + have d35 : sqDist (p 3) (p 5) / base = 1 := by + rw [sqDist, hdist 3 5 (by decide), radius3] + exact div_self hbase + have d36 : sqDist (p 3) (p 6) / base = s := by + rw [sqDist, dist_comm, hdist 6 3 (by decide), radius6] + have d37 : sqDist (p 3) (p 7) / base = 1 := by + rw [sqDist, hdist 3 7 (by decide), radius3] + exact div_self hbase + have d45 : sqDist (p 4) (p 5) / base = s := by + rw [sqDist, hdist 4 5 (by decide), radius4] + have d46 : sqDist (p 4) (p 6) / base = w46 := rfl + have d47 : sqDist (p 4) (p 7) / base = s := by + rw [sqDist, hdist 4 7 (by decide), radius4] + have d56 : sqDist (p 5) (p 6) / base = 1 := by + rw [sqDist, hdist 5 6 (by decide), radius5] + exact div_self hbase + have d57 : sqDist (p 5) (p 7) / base = 1 := by + rw [sqDist, hdist 5 7 (by decide), radius5] + exact div_self hbase + have d67 : sqDist (p 6) (p 7) / base = s := by + rw [sqDist, hdist 6 7 (by decide), radius6] + exact { + base, s, w05, w13, w27, w46, hbase, hbase_pos, hs, + d01, d02, d03, d04, d05, d06, d07, d12, d13, d14, d15, + d16, d17, d23, d24, d25, d26, d27, d34, d35, d36, d37, + d45, d46, d47, d56, d57, d67 + } + +private structure Residual11Normalized (p : Vertex → Plane) where + base : ℝ + s : ℝ + hbase : base ≠ 0 + hbase_pos : 0 < base + hs : 0 < s + hs_ne_two : s ≠ 2 + eS : s ^ 2 - 4 * s + 1 = 0 + d01 : sqDist (p 0) (p 1) / base = 1 + d02 : sqDist (p 0) (p 2) / base = 1 + d03 : sqDist (p 0) (p 3) / base = 1 + d04 : sqDist (p 0) (p 4) / base = 1 + d05 : sqDist (p 0) (p 5) / base = 2 + d06 : sqDist (p 0) (p 6) / base = s + d07 : sqDist (p 0) (p 7) / base = s + d12 : sqDist (p 1) (p 2) / base = 1 + d13 : sqDist (p 1) (p 3) / base = 2 + d15 : sqDist (p 1) (p 5) / base = 1 + d23 : sqDist (p 2) (p 3) / base = s + d24 : sqDist (p 2) (p 4) / base = s + d25 : sqDist (p 2) (p 5) / base = s + d26 : sqDist (p 2) (p 6) / base = s + d27 : sqDist (p 2) (p 7) / base = 2 * s + d35 : sqDist (p 3) (p 5) / base = 1 + d46 : sqDist (p 4) (p 6) / base = 2 * s + d47 : sqDist (p 4) (p 7) / base = s + d67 : sqDist (p 6) (p 7) / base = s + +private def Residual11Distances.normalize + {p : Vertex → Plane} (D : Residual11Distances p) : + Residual11Normalized p := by + have hcmS := cm4_normalized_eq_zero (p 0) (p 1) (p 2) (p 4) D.hbase + rw [D.d01, D.d02, D.d04, D.d12, D.d14, D.d24] at hcmS + have eS : D.s ^ 2 - 4 * D.s + 1 = 0 := by + dsimp [cm4] at hcmS + nlinarith only [hcmS] + have hcm05a := cm4_normalized_eq_zero (p 0) (p 1) (p 2) (p 5) D.hbase + rw [D.d01, D.d02, D.d05, D.d12, D.d15, D.d25] at hcm05a + have e05a : + D.s ^ 2 - D.s * D.w05 - 2 * D.s + D.w05 ^ 2 - 2 * D.w05 + 1 = 0 := by + dsimp [cm4] at hcm05a + nlinarith only [hcm05a] + have hcm05b := cm4_normalized_eq_zero (p 0) (p 1) (p 4) (p 5) D.hbase + rw [D.d01, D.d04, D.d05, D.d14, D.d15, D.d45] at hcm05b + have e05b : D.s ^ 2 + D.s * D.w05 ^ 2 - 3 * D.s * D.w05 - 2 * D.s + 1 = 0 := by + dsimp [cm4] at hcm05b + nlinarith only [hcm05b] + have hcm13a := cm4_normalized_eq_zero (p 0) (p 1) (p 2) (p 3) D.hbase + rw [D.d01, D.d02, D.d03, D.d12, D.d13, D.d23] at hcm13a + have e13a : + D.s ^ 2 - D.s * D.w13 - 2 * D.s + D.w13 ^ 2 - 2 * D.w13 + 1 = 0 := by + dsimp [cm4] at hcm13a + nlinarith only [hcm13a] + have hcm13b := cm4_normalized_eq_zero (p 0) (p 1) (p 3) (p 6) D.hbase + rw [D.d01, D.d03, D.d06, D.d13, D.d16, D.d36] at hcm13b + have e13b : D.s ^ 2 + D.s * D.w13 ^ 2 - 3 * D.s * D.w13 - 2 * D.s + 1 = 0 := by + dsimp [cm4] at hcm13b + nlinarith only [hcm13b] + have hcm27a := cm4_normalized_eq_zero (p 0) (p 1) (p 2) (p 7) D.hbase + rw [D.d01, D.d02, D.d07, D.d12, D.d17, D.d27] at hcm27a + have e27a : + D.s ^ 2 - 2 * D.s * D.w27 - 2 * D.s + D.w27 ^ 2 - D.w27 + 1 = 0 := by + dsimp [cm4] at hcm27a + nlinarith only [hcm27a] + have hcm27b := cm4_normalized_eq_zero (p 0) (p 2) (p 4) (p 7) D.hbase + rw [D.d02, D.d04, D.d07, D.d24, D.d27, D.d47] at hcm27b + have e27b : D.s ^ 3 - 2 * D.s ^ 2 - 3 * D.s * D.w27 + D.s + D.w27 ^ 2 = 0 := by + dsimp [cm4] at hcm27b + nlinarith only [hcm27b] + have hcm46a := cm4_normalized_eq_zero (p 0) (p 3) (p 4) (p 6) D.hbase + rw [D.d03, D.d04, D.d06, D.d34, D.d36, D.d46] at hcm46a + have e46a : + D.s ^ 2 - 2 * D.s * D.w46 - 2 * D.s + D.w46 ^ 2 - D.w46 + 1 = 0 := by + dsimp [cm4] at hcm46a + nlinarith only [hcm46a] + have hcm46b := cm4_normalized_eq_zero (p 0) (p 2) (p 4) (p 6) D.hbase + rw [D.d02, D.d04, D.d06, D.d24, D.d26, D.d46] at hcm46b + have e46b : D.s ^ 3 - 2 * D.s ^ 2 - 3 * D.s * D.w46 + D.s + D.w46 ^ 2 = 0 := by + dsimp [cm4] at hcm46b + nlinarith only [hcm46b] + have w05_eq : D.w05 = 2 := by + have factor : (D.w05 - 1) * (D.w05 - 2) = 0 := by + nlinarith only [eS, e05b] + rcases mul_eq_zero.mp factor with h | h + · have hw : D.w05 = 1 := by linarith only [h] + rw [hw] at e05a + nlinarith only [eS, e05a] + · linarith only [h] + have w13_eq : D.w13 = 2 := by + have factor : (D.w13 - 1) * (D.w13 - 2) = 0 := by + nlinarith only [eS, e13b] + rcases mul_eq_zero.mp factor with h | h + · have hw : D.w13 = 1 := by linarith only [h] + rw [hw] at e13a + nlinarith only [eS, e13a] + · linarith only [h] + have es3 : D.s ^ 3 = 15 * D.s - 4 := by + nlinarith only [eS] + have w27_eq : D.w27 = 2 * D.s := by + have factor : (D.w27 - 1) * (D.w27 - 2 * D.s) = 0 := by + nlinarith only [eS, e27a] + rcases mul_eq_zero.mp factor with h | h + · have hw : D.w27 = 1 := by linarith only [h] + rw [hw] at e27b + nlinarith only [eS, e27b, es3] + · linarith only [h] + have w46_eq : D.w46 = 2 * D.s := by + have factor : (D.w46 - 1) * (D.w46 - 2 * D.s) = 0 := by + nlinarith only [eS, e46a] + rcases mul_eq_zero.mp factor with h | h + · have hw : D.w46 = 1 := by linarith only [h] + rw [hw] at e46b + nlinarith only [eS, e46b, es3] + · linarith only [h] + have hs_ne_two : D.s ≠ 2 := by + intro hs2 + rw [hs2] at eS + norm_num at eS + exact { + base := D.base, s := D.s, hbase := D.hbase, hbase_pos := D.hbase_pos, + hs := D.hs, hs_ne_two, eS, d01 := D.d01, d02 := D.d02, d03 := D.d03, + d04 := D.d04, d05 := D.d05.trans w05_eq, d06 := D.d06, d07 := D.d07, + d12 := D.d12, d13 := D.d13.trans w13_eq, d15 := D.d15, d23 := D.d23, + d24 := D.d24, d25 := D.d25, d26 := D.d26, d27 := D.d27.trans w27_eq, + d35 := D.d35, d46 := D.d46.trans w46_eq, d47 := D.d47, d67 := D.d67 + } + +private lemma scaled_of_div_eq + {p : Vertex → Plane} {base x : ℝ} {i j : Vertex} + (hbase : base ≠ 0) (h : sqDist (p i) (p j) / base = x) : + sqDist (p i) (p j) = x * base := + (div_eq_iff hbase).mp h + +private lemma inner_scaled + {p : Vertex → Plane} {base : ℝ} (o x y : Vertex) (A B C : ℝ) + (hox : sqDist (p o) (p x) = A * base) + (hoy : sqDist (p o) (p y) = B * base) + (hxy : sqDist (p x) (p y) = C * base) : + ⟪p x - p o, p y - p o⟫_ℝ = (A + B - C) * base / 2 := by + rw [inner_sub_sub_eq, hox, hoy, hxy] + ring + +private lemma self_scaled + {p : Vertex → Plane} {base : ℝ} (o x : Vertex) (A : ℝ) + (hox : sqDist (p o) (p x) = A * base) : + ⟪p x - p o, p x - p o⟫_ℝ = A * base := by + have hxx : sqDist (p x) (p x) = 0 := by simp [sqDist] + have hinner := inner_scaled o x x A A 0 hox hox (by simpa using hxx) + nlinarith only [hinner] + +private lemma residual11_lt_contradiction + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + (D : Residual11Normalized p) (hslt : D.s < 2) : False := by + let alpha : ℝ := (2 - D.s) / 4 + let beta : ℝ := D.s / 4 + have halpha : 0 ≤ alpha := by dsimp [alpha]; linarith + have hbeta : 0 ≤ beta := by + dsimp [beta] + exact div_nonneg (le_of_lt D.hs) (by norm_num) + have hab : 2 * alpha + 2 * beta = 1 := by + dsimp [alpha, beta] + ring + have q01 := scaled_of_div_eq D.hbase D.d01 + have q02 := scaled_of_div_eq D.hbase D.d02 + have q03 := scaled_of_div_eq D.hbase D.d03 + have q05 := scaled_of_div_eq D.hbase D.d05 + have q12 := scaled_of_div_eq D.hbase D.d12 + have q13 := scaled_of_div_eq D.hbase D.d13 + have q15 := scaled_of_div_eq D.hbase D.d15 + have q23 := scaled_of_div_eq D.hbase D.d23 + have q25 := scaled_of_div_eq D.hbase D.d25 + have q35 := scaled_of_div_eq D.hbase D.d35 + let u1 := p 1 - p 0 + let u2 := p 2 - p 0 + let u3 := p 3 - p 0 + let u5 := p 5 - p 0 + have i11 : ⟪u1, u1⟫_ℝ = D.base := by + simpa [u1] using self_scaled 0 1 1 q01 + have i22 : ⟪u2, u2⟫_ℝ = D.base := by + simpa [u2] using self_scaled 0 2 1 q02 + have i33 : ⟪u3, u3⟫_ℝ = D.base := by + simpa [u3] using self_scaled 0 3 1 q03 + have i55 : ⟪u5, u5⟫_ℝ = 2 * D.base := by + simpa [u5] using self_scaled 0 5 2 q05 + have i12 : ⟪u1, u2⟫_ℝ = D.base / 2 := by + simpa [u1, u2] using inner_scaled 0 1 2 1 1 1 q01 q02 q12 + have i13 : ⟪u1, u3⟫_ℝ = 0 := by + have h := inner_scaled 0 1 3 1 1 2 q01 q03 q13 + dsimp [u1, u3] at h ⊢ + ring_nf at h ⊢ + exact h + have i15 : ⟪u1, u5⟫_ℝ = D.base := by + simpa [u1, u5] using inner_scaled 0 1 5 1 2 1 q01 q05 q15 + have i23 : ⟪u2, u3⟫_ℝ = (2 - D.s) * D.base / 2 := by + have h := inner_scaled 0 2 3 1 1 D.s q02 q03 q23 + dsimp [u2, u3] at h ⊢ + ring_nf at h ⊢ + exact h + have i25 : ⟪u2, u5⟫_ℝ = (3 - D.s) * D.base / 2 := by + have h := inner_scaled 0 2 5 1 2 D.s q02 q05 q25 + dsimp [u2, u5] at h ⊢ + ring_nf at h ⊢ + exact h + have i35 : ⟪u3, u5⟫_ℝ = D.base := by + simpa [u3, u5] using inner_scaled 0 3 5 1 2 1 q03 q05 q35 + have i21 : ⟪u2, u1⟫_ℝ = D.base / 2 := by rw [real_inner_comm]; exact i12 + have i31 : ⟪u3, u1⟫_ℝ = 0 := by rw [real_inner_comm]; exact i13 + have i51 : ⟪u5, u1⟫_ℝ = D.base := by rw [real_inner_comm]; exact i15 + have i32 : ⟪u3, u2⟫_ℝ = (2 - D.s) * D.base / 2 := by + rw [real_inner_comm] + exact i23 + have i52 : ⟪u5, u2⟫_ℝ = (3 - D.s) * D.base / 2 := by + rw [real_inner_comm] + exact i25 + have i53 : ⟪u5, u3⟫_ℝ = D.base := by rw [real_inner_comm]; exact i35 + let z := u2 - (alpha • u5 + alpha • u3 + beta • u1) + have hzinner : ⟪z, z⟫_ℝ = 0 := by + dsimp [z] + simp only [inner_sub_left, inner_sub_right, inner_add_left, inner_add_right, + real_inner_smul_left, real_inner_smul_right] + rw [i11, i22, i33, i55, i12, i13, i15, i23, i25, i35, + i21, i31, i51, i32, i52, i53] + dsimp [alpha, beta] + linear_combination (norm := ring) (-D.base / 4) * D.eS + have hz : z = 0 := inner_self_eq_zero.mp hzinner + have hu : u2 = alpha • u5 + alpha • u3 + beta • u1 := sub_eq_zero.mp hz + have affine : p 2 = + alpha • p 5 + alpha • p 3 + beta • p 0 + beta • p 1 := by + dsimp [u1, u2, u3, u5] at hu + linear_combination (norm := module) hu - hab • p 0 + have hmem : p 2 ∈ convexHull ℝ (p '' ({0, 1, 3, 5} : Set Vertex)) := by + refine mem_convexHull_of_exists_fintype + ![alpha, alpha, beta, beta] ![p 5, p 3, p 0, p 1] ?_ ?_ ?_ ?_ + · intro i + fin_cases i <;> assumption + · simp only [Fin.sum_univ_four, Matrix.cons_val_zero, Matrix.cons_val_one, + Matrix.cons_val_two, Matrix.cons_val_three, Matrix.tail_cons, Matrix.head_cons] + nlinarith only [hab] + · intro i + fin_cases i <;> simp + · simp [Fin.sum_univ_four, affine, add_assoc] + have htwo := hC ({0, 1, 3, 5} : Set Vertex) 2 hmem + simp at htwo + +private lemma residual11_gt_contradiction + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) + (D : Residual11Normalized p) (hsgt : D.s > 2) : False := by + have hproduct : D.s * (4 - D.s) = 1 := by nlinarith only [D.eS] + have hproduct_pos : 0 < D.s * (4 - D.s) := by rw [hproduct]; norm_num + have hslt4 : D.s < 4 := by + rcases (mul_pos_iff.mp hproduct_pos) with h | h + · linarith only [h.2] + · linarith only [D.hs, h.1] + let alpha : ℝ := (D.s - 2) / 4 + let beta : ℝ := (4 - D.s) / 4 + have halpha : 0 ≤ alpha := by dsimp [alpha]; linarith + have hbeta : 0 ≤ beta := by dsimp [beta]; linarith + have hab : 2 * alpha + 2 * beta = 1 := by + dsimp [alpha, beta] + ring + have q20 : sqDist (p 2) (p 0) = D.base := by + have h := scaled_of_div_eq D.hbase D.d02 + simpa [sqDist, dist_comm] using h + have q24 := scaled_of_div_eq D.hbase D.d24 + have q26 := scaled_of_div_eq D.hbase D.d26 + have q27 := scaled_of_div_eq D.hbase D.d27 + have q04 := scaled_of_div_eq D.hbase D.d04 + have q06 := scaled_of_div_eq D.hbase D.d06 + have q07 := scaled_of_div_eq D.hbase D.d07 + have q46 := scaled_of_div_eq D.hbase D.d46 + have q47 := scaled_of_div_eq D.hbase D.d47 + have q67 := scaled_of_div_eq D.hbase D.d67 + let v0 := p 0 - p 2 + let v4 := p 4 - p 2 + let v6 := p 6 - p 2 + let v7 := p 7 - p 2 + have i00 : ⟪v0, v0⟫_ℝ = D.base := by + simpa [v0] using self_scaled 2 0 1 (by simpa using q20) + have i44 : ⟪v4, v4⟫_ℝ = D.s * D.base := by + simpa [v4] using self_scaled 2 4 D.s q24 + have i66 : ⟪v6, v6⟫_ℝ = D.s * D.base := by + simpa [v6] using self_scaled 2 6 D.s q26 + have i77 : ⟪v7, v7⟫_ℝ = 2 * D.s * D.base := by + have h := self_scaled 2 7 (2 * D.s) q27 + dsimp [v7] at h ⊢ + ring_nf at h ⊢ + exact h + have i04 : ⟪v0, v4⟫_ℝ = D.s * D.base / 2 := by + have h := inner_scaled 2 0 4 1 D.s 1 (by simpa using q20) q24 (by + simpa [sqDist, dist_comm] using q04) + dsimp [v0, v4] at h ⊢ + ring_nf at h ⊢ + exact h + have i06 : ⟪v0, v6⟫_ℝ = D.base / 2 := by + have h := inner_scaled 2 0 6 1 D.s D.s (by simpa using q20) q26 (by + simpa [sqDist, dist_comm] using q06) + dsimp [v0, v6] at h ⊢ + ring_nf at h ⊢ + exact h + have i07 : ⟪v0, v7⟫_ℝ = (1 + D.s) * D.base / 2 := by + have h := inner_scaled 2 0 7 1 (2 * D.s) D.s (by simpa using q20) q27 (by + simpa [sqDist, dist_comm] using q07) + dsimp [v0, v7] at h ⊢ + ring_nf at h ⊢ + exact h + have i46 : ⟪v4, v6⟫_ℝ = 0 := by + have h := inner_scaled 2 4 6 D.s D.s (2 * D.s) q24 q26 q46 + dsimp [v4, v6] at h ⊢ + ring_nf at h ⊢ + exact h + have i47 : ⟪v4, v7⟫_ℝ = D.s * D.base := by + have h := inner_scaled 2 4 7 D.s (2 * D.s) D.s q24 q27 q47 + dsimp [v4, v7] at h ⊢ + ring_nf at h ⊢ + exact h + have i67 : ⟪v6, v7⟫_ℝ = D.s * D.base := by + have h := inner_scaled 2 6 7 D.s (2 * D.s) D.s q26 q27 q67 + dsimp [v6, v7] at h ⊢ + ring_nf at h ⊢ + exact h + have i40 : ⟪v4, v0⟫_ℝ = D.s * D.base / 2 := by rw [real_inner_comm]; exact i04 + have i60 : ⟪v6, v0⟫_ℝ = D.base / 2 := by rw [real_inner_comm]; exact i06 + have i70 : ⟪v7, v0⟫_ℝ = (1 + D.s) * D.base / 2 := by + rw [real_inner_comm] + exact i07 + have i64 : ⟪v6, v4⟫_ℝ = 0 := by rw [real_inner_comm]; exact i46 + have i74 : ⟪v7, v4⟫_ℝ = D.s * D.base := by rw [real_inner_comm]; exact i47 + have i76 : ⟪v7, v6⟫_ℝ = D.s * D.base := by rw [real_inner_comm]; exact i67 + let z := v0 - (beta • v6 + beta • v7 + alpha • v4) + have hzinner : ⟪z, z⟫_ℝ = 0 := by + dsimp [z] + simp only [inner_sub_left, inner_sub_right, inner_add_left, inner_add_right, + real_inner_smul_left, real_inner_smul_right] + rw [i00, i44, i66, i77, i04, i06, i07, i46, i47, i67, + i40, i60, i70, i64, i74, i76] + dsimp [alpha, beta] + linear_combination (norm := ring) (D.base * (D.s - 4) / 4) * D.eS + have hz : z = 0 := inner_self_eq_zero.mp hzinner + have hu : v0 = beta • v6 + beta • v7 + alpha • v4 := sub_eq_zero.mp hz + have affine : p 0 = + alpha • p 2 + beta • p 6 + beta • p 7 + alpha • p 4 := by + dsimp [v0, v4, v6, v7] at hu + linear_combination (norm := module) hu - hab • p 2 + have hmem : p 0 ∈ convexHull ℝ (p '' ({2, 4, 6, 7} : Set Vertex)) := by + refine mem_convexHull_of_exists_fintype + ![alpha, beta, beta, alpha] ![p 2, p 6, p 7, p 4] ?_ ?_ ?_ ?_ + · intro i + fin_cases i <;> assumption + · simp only [Fin.sum_univ_four, Matrix.cons_val_zero, Matrix.cons_val_one, + Matrix.cons_val_two, Matrix.cons_val_three, Matrix.tail_cons, Matrix.head_cons] + nlinarith only [hab] + · intro i + fin_cases i <;> simp + · simp [Fin.sum_univ_four, affine, add_assoc] + have hzero := hC ({2, 4, 6, 7} : Set Vertex) 0 hmem + simp at hzero + +/-- The unique realizable residual class cannot occur in convex position. -/ +theorem residualRepresentative11_not_convex_realises + {p : Vertex → Plane} (hC : ConvexIndependent ℝ p) : + ¬ Realises p residualRepresentative11 := by + intro hRealises + let D := (residual11_distances hC hRealises).normalize + rcases lt_or_gt_of_ne D.hs_ne_two with hslt | hsgt + · exact residual11_lt_contradiction hC D hslt + · exact residual11_gt_contradiction hC D hsgt + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra12.lean b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra12.lean new file mode 100644 index 000000000..7bc318962 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualAlgebra12.lean @@ -0,0 +1,141 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives + +/-! # Erdős 97 convex-octagon formalization: Residual Algebra12 -/ + +namespace Erdos97Octagon + +/-- Residual class 12 has no injective planar realisation. -/ +theorem residualRepresentative12_not_realises + {p : Vertex → Plane} (hp : Function.Injective p) : + ¬ Realises p residualRepresentative12 := by + intro hRealises + obtain ⟨radius, hpos, hdist⟩ := + exists_positive_radii hp residualRepresentative12 hRealises + have r01 : radius 0 = radius 1 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative12]) + have r25 : radius 2 = radius 5 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative12]) + have r37 : radius 3 = radius 7 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative12]) + have r46 : radius 4 = radius 6 := + radius_eq_of_mutual hdist (by + simp [OctagonIncidence.Mutual, residualRepresentative12]) + have radius0 : radius 0 = radius 0 := rfl + have radius1 : radius 1 = radius 0 := (r01).symm + have radius2 : radius 2 = radius 2 := rfl + have radius5 : radius 5 = radius 2 := (r25).symm + have radius3 : radius 3 = radius 3 := rfl + have radius7 : radius 7 = radius 3 := (r37).symm + have radius4 : radius 4 = radius 4 := rfl + have radius6 : radius 6 = radius 4 := (r46).symm + let base : ℝ := radius 0 ^ 2 + have hbase : base ≠ 0 := by + dsimp [base] + exact pow_ne_zero 2 (ne_of_gt (hpos 0)) + let s1 : ℝ := radius 2 ^ 2 / base + let s2 : ℝ := radius 3 ^ 2 / base + let s3 : ℝ := radius 4 ^ 2 / base + have d01 : sqDist (p 0) (p 1) / base = 1 := by + rw [sqDist, hdist 0 1 (by decide), radius0] + exact div_self hbase + have d02 : sqDist (p 0) (p 2) / base = 1 := by + rw [sqDist, hdist 0 2 (by decide), radius0] + exact div_self hbase + have d03 : sqDist (p 0) (p 3) / base = 1 := by + rw [sqDist, hdist 0 3 (by decide), radius0] + exact div_self hbase + have d04 : sqDist (p 0) (p 4) / base = 1 := by + rw [sqDist, hdist 0 4 (by decide), radius0] + exact div_self hbase + have d06 : sqDist (p 0) (p 6) / base = s3 := by + rw [sqDist, dist_comm, hdist 6 0 (by decide), radius6] + have d07 : sqDist (p 0) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 0 (by decide), radius7] + have d13 : sqDist (p 1) (p 3) / base = s2 := by + rw [sqDist, dist_comm, hdist 3 1 (by decide), radius3] + have d14 : sqDist (p 1) (p 4) / base = s3 := by + rw [sqDist, dist_comm, hdist 4 1 (by decide), radius4] + have d16 : sqDist (p 1) (p 6) / base = 1 := by + rw [sqDist, hdist 1 6 (by decide), radius1] + exact div_self hbase + have d24 : sqDist (p 2) (p 4) / base = s3 := by + rw [sqDist, dist_comm, hdist 4 2 (by decide), radius4] + have d27 : sqDist (p 2) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 2 (by decide), radius7] + have d34 : sqDist (p 3) (p 4) / base = s2 := by + rw [sqDist, hdist 3 4 (by decide), radius3] + have d36 : sqDist (p 3) (p 6) / base = s3 := by + rw [sqDist, dist_comm, hdist 6 3 (by decide), radius6] + have d37 : sqDist (p 3) (p 7) / base = s2 := by + rw [sqDist, hdist 3 7 (by decide), radius3] + have d46 : sqDist (p 4) (p 6) / base = s3 := by + rw [sqDist, hdist 4 6 (by decide), radius4] + have d47 : sqDist (p 4) (p 7) / base = s3 := by + rw [sqDist, hdist 4 7 (by decide), radius4] + have d67 : sqDist (p 6) (p 7) / base = s2 := by + rw [sqDist, dist_comm, hdist 7 6 (by decide), radius7] + have hcm0 := cm4_normalized_eq_zero + (p 0) (p 2) (p 4) (p 7) hbase + rw [d02, d04, d07, d24, d27, d47] at hcm0 + have e0 : -2*s2 ^ 2 - 2*s2*s3 ^ 2 + 10*s2*s3 - 2*s3 = 0 := by + dsimp [cm4] at hcm0 + nlinarith only [hcm0] + have hcm1 := cm4_normalized_eq_zero + (p 0) (p 4) (p 6) (p 7) hbase + rw [d04, d06, d07, d46, d47, d67] at hcm1 + have e1 : -2*s2 ^ 2*s3 + 4*s2*s3 ^ 2 + 6*s2*s3 - 2*s2 - 2*s3 ^ 3 = 0 := by + dsimp [cm4] at hcm1 + nlinarith only [hcm1] + have hcm2 := cm4_normalized_eq_zero + (p 0) (p 1) (p 3) (p 6) hbase + rw [d01, d03, d06, d13, d16, d36] at hcm2 + have e2 : -2*s2 ^ 2*s3 + 6*s2*s3 - 2*s3 ^ 2 + 4*s3 - 2 = 0 := by + dsimp [cm4] at hcm2 + nlinarith only [hcm2] + have hcm3 := cm4_normalized_eq_zero + (p 0) (p 3) (p 4) (p 6) hbase + rw [d03, d04, d06, d34, d36, d46] at hcm3 + have e3 : -2*s2 ^ 2*s3 + 8*s2*s3 - 2*s2 = 0 := by + dsimp [cm4] at hcm3 + nlinarith only [hcm3] + have hcm4 := cm4_normalized_eq_zero + (p 0) (p 1) (p 3) (p 4) hbase + rw [d01, d03, d04, d13, d14, d34] at hcm4 + have e4 : -2*s2 ^ 2*s3 + 8*s2*s3 - 2*s3 ^ 2 = 0 := by + dsimp [cm4] at hcm4 + nlinarith only [hcm4] + have hcm5 := cm4_normalized_eq_zero + (p 0) (p 1) (p 4) (p 6) hbase + rw [d01, d04, d06, d14, d16, d46] at hcm5 + have e5 : -2*s3 ^ 3 + 4*s3 ^ 2 + 4*s3 - 2 = 0 := by + dsimp [cm4] at hcm5 + nlinarith only [hcm5] + have hcm6 := cm4_normalized_eq_zero + (p 0) (p 3) (p 6) (p 7) hbase + rw [d03, d06, d07, d36, d37, d67] at hcm6 + have e6 : 8*s2*s3 - 2*s2 - 2*s3 ^ 2 = 0 := by + dsimp [cm4] at hcm6 + nlinarith only [hcm6] + have certificate : + (-1 : ℝ) * (-2*s2 ^ 2 - 2*s2*s3 ^ 2 + 10*s2*s3 - 2*s3) + + (7/6 : ℝ) * (-2*s2 ^ 2*s3 + 4*s2*s3 ^ 2 + 6*s2*s3 - 2*s2 - 2*s3 ^ 3) + + (1/12 : ℝ) * (-2*s2 ^ 2*s3 + 6*s2*s3 - 2*s3 ^ 2 + 4*s3 - 2) + + (17/12 : ℝ) * (-2*s2 ^ 2*s3 + 8*s2*s3 - 2*s2) + + (4/3 : ℝ) * (-2*s2 ^ 2*s3 + 8*s2*s3 - 2*s3 ^ 2) + + (-7/12 : ℝ) * (-2*s3 ^ 3 + 4*s3 ^ 2 + 4*s3 - 2) + + (s2-7/12*s3-31/12 : ℝ) * (8*s2*s3 - 2*s2 - 2*s3 ^ 2) = 1 := by + ring + rw [e0, e1, e2, e3, e4, e5, e6] at certificate + norm_num at certificate + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualObstructions.lean b/LeanPool/Erdos97ConvexOctagon/ResidualObstructions.lean new file mode 100644 index 000000000..8f2ec5df9 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualObstructions.lean @@ -0,0 +1,46 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra00 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra01 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra02 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra03 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra04 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra05 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra06 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra07 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra08 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra09 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra10 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra11 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra12 + +/-! # Erdős 97 convex-octagon formalization: Residual Obstructions -/ + +namespace Erdos97Octagon + +/-- None of the thirteen explicit candidate systems has a convex-independent +realisation. This statement does not assert that the family is exhaustive. -/ +theorem residualRepresentative_not_convex_realises + (classIndex : Fin 13) {p : Vertex → Plane} + (hC : ConvexIndependent ℝ p) : + ¬ Realises p (residualRepresentative classIndex) := by + fin_cases classIndex + · exact residualRepresentative00_not_realises hC.injective + · exact residualRepresentative01_not_realises hC.injective + · exact residualRepresentative02_not_realises hC.injective + · exact residualRepresentative03_not_realises hC.injective + · exact residualRepresentative04_not_realises hC.injective + · exact residualRepresentative05_not_realises hC.injective + · exact residualRepresentative06_not_realises hC.injective + · exact residualRepresentative07_not_realises hC.injective + · exact residualRepresentative08_not_realises hC.injective + · exact residualRepresentative09_not_realises hC.injective + · exact residualRepresentative10_not_realises hC.injective + · exact residualRepresentative11_not_convex_realises hC + · exact residualRepresentative12_not_realises hC.injective + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/ResidualRepresentatives.lean b/LeanPool/Erdos97ConvexOctagon/ResidualRepresentatives.lean new file mode 100644 index 000000000..39f9a3672 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/ResidualRepresentatives.lean @@ -0,0 +1,144 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Radius + +/-! # Thirteen explicit candidate incidence representatives + +The word “residual” is a historical label from exploratory computation. This +module defines the systems exactly but makes no claim that they exhaust all +normalized, balanced, pair-sparse incidence systems. +-/ + +namespace Erdos97Octagon + +/-- The exact residual incidence representative of class 0. -/ +def residualRepresentative00 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {0, 4, 5, 6}, {2, 4, 5, 7}, + {3, 5, 6, 7}, {1, 2, 6, 7}, {0, 1, 4, 7}, {0, 1, 3, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 1. -/ +def residualRepresentative01 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {0, 4, 5, 6}, {2, 4, 6, 7}, + {1, 3, 5, 7}, {0, 3, 6, 7}, {0, 1, 4, 7}, {1, 2, 5, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 2. -/ +def residualRepresentative02 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {0, 5, 6, 7}, {2, 4, 6, 7}, + {1, 2, 5, 6}, {0, 3, 4, 7}, {1, 3, 5, 7}, {0, 1, 4, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 3. -/ +def residualRepresentative03 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {0, 1, 4, 6}, {0, 4, 5, 7}, + {0, 3, 6, 7}, {2, 4, 6, 7}, {1, 3, 5, 7}, {1, 2, 5, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 4. -/ +def residualRepresentative04 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {0, 1, 4, 6}, {2, 4, 6, 7}, + {1, 3, 5, 7}, {0, 3, 6, 7}, {0, 4, 5, 7}, {1, 2, 5, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 5. -/ +def residualRepresentative05 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 5, 6}, {3, 4, 5, 7}, {1, 2, 6, 7}, + {1, 3, 5, 6}, {0, 3, 6, 7}, {0, 2, 4, 7}, {0, 1, 4, 5} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 6. -/ +def residualRepresentative06 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {0, 1, 4, 6}, {0, 1, 5, 7}, + {1, 3, 6, 7}, {0, 2, 6, 7}, {3, 4, 5, 7}, {2, 4, 5, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 7. -/ +def residualRepresentative07 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {3, 4, 6, 7}, {2, 5, 6, 7}, + {1, 3, 5, 6}, {0, 2, 4, 7}, {0, 1, 5, 7}, {0, 1, 4, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 8. -/ +def residualRepresentative08 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {3, 4, 5, 6}, {2, 4, 5, 7}, + {0, 5, 6, 7}, {1, 4, 6, 7}, {0, 1, 3, 7}, {0, 1, 2, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 9. -/ +def residualRepresentative09 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {3, 4, 5, 6}, {2, 4, 5, 7}, + {0, 5, 6, 7}, {1, 4, 6, 7}, {0, 1, 2, 7}, {0, 1, 3, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 10. -/ +def residualRepresentative10 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 3, 5}, {3, 4, 5, 6}, {2, 4, 5, 7}, + {1, 5, 6, 7}, {0, 4, 6, 7}, {0, 1, 3, 7}, {0, 1, 2, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 11. -/ +def residualRepresentative11 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 2, 5, 6}, {3, 4, 5, 6}, {0, 4, 5, 7}, + {1, 2, 5, 7}, {1, 3, 6, 7}, {0, 2, 3, 7}, {0, 1, 4, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The exact residual incidence representative of class 12. -/ +def residualRepresentative12 : OctagonIncidence where + targets := ![ + {1, 2, 3, 4}, {0, 5, 6, 7}, {1, 3, 5, 6}, {1, 4, 5, 7}, + {1, 2, 6, 7}, {0, 2, 4, 7}, {0, 3, 4, 5}, {0, 2, 3, 6} + ] + card_targets v := by fin_cases v <;> decide + centre_not_mem v := by fin_cases v <;> decide + +/-- The thirteen residual representatives as one finite family. -/ +def residualRepresentative : Fin 13 → OctagonIncidence := ![ + residualRepresentative00, residualRepresentative01, residualRepresentative02, + residualRepresentative03, residualRepresentative04, residualRepresentative05, + residualRepresentative06, residualRepresentative07, residualRepresentative08, + residualRepresentative09, residualRepresentative10, residualRepresentative11, + residualRepresentative12 +] + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/RhombusFan.lean b/LeanPool/Erdos97ConvexOctagon/RhombusFan.lean new file mode 100644 index 000000000..b6b8de5a4 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/RhombusFan.lean @@ -0,0 +1,120 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.Gram + +/-! # Erdős 97 convex-octagon formalization: Rhombus Fan -/ + +namespace Erdos97Octagon + +open scoped InnerProductSpace + +/-- A same-length rhombus fan cannot have a common point on the two listed bisectors. -/ +theorem no_rhombus_fan + {a b c d x : Plane} {R : ℝ} (hR : 0 < R) (hcd : c ≠ d) + (hab : dist a b = R) (hac : dist a c = R) (had : dist a d = R) + (hbc : dist b c = R) (hbd : dist b d = R) + (hx_ac : dist x a = dist x c) (hx_db : dist x d = dist x b) : + False := by + set u : Plane := b - a with hu + set v : Plane := c - a with hv + set w : Plane := d - a with hw + set y : Plane := x - a with hy + set s : ℝ := R ^ 2 with hs + have hs0 : 0 < s := by positivity + have norm_sq : ∀ {z : Plane}, dist a z = R → ⟪z - a, z - a⟫_ℝ = s := by + intro z hz + rw [real_inner_self_eq_norm_sq, ← dist_eq_norm, dist_comm, hz, hs] + have nu : ⟪u, u⟫_ℝ = s := by simpa [u] using norm_sq hab + have nv : ⟪v, v⟫_ℝ = s := by simpa [v] using norm_sq hac + have nw : ⟪w, w⟫_ℝ = s := by simpa [w] using norm_sq had + have inner_half : ∀ {z t : Plane}, dist a z = R → dist a t = R → + dist z t = R → ⟪z - a, t - a⟫_ℝ = s / 2 := by + intro z t haz hat hzt + have hsub : (z - a) - (t - a) = z - t := by abel + have hzt_norm : ‖(z - a) - (t - a)‖ = R := by + rw [hsub, ← dist_eq_norm, hzt] + have hpolar := norm_sub_sq_real (z - a) (t - a) + have hnz : ‖z - a‖ ^ 2 = s := by + rw [← real_inner_self_eq_norm_sq] + exact norm_sq haz + have hnt : ‖t - a‖ ^ 2 = s := by + rw [← real_inner_self_eq_norm_sq] + exact norm_sq hat + rw [hzt_norm, hnz, hnt] at hpolar + have hR2 : R ^ 2 = s := hs.symm + nlinarith only [hpolar, hR2] + have iuv : ⟪u, v⟫_ℝ = s / 2 := by simpa [u, v] using inner_half hab hac hbc + have iuw : ⟪u, w⟫_ℝ = s / 2 := by simpa [u, w] using inner_half hab had hbd + have ivu : ⟪v, u⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact iuv + have iwu : ⟪w, u⟫_ℝ = s / 2 := by rw [real_inner_comm]; exact iuw + set t : ℝ := ⟪v, w⟫_ℝ with ht + have iwv : ⟪w, v⟫_ℝ = t := by rw [ht, real_inner_comm] + have hG := gram_det_eq_zero ![u, v, w] + rw [gram3_expand] at hG + simp only [nu, nv, nw, iuv, ivu, iuw, iwu, ← ht, iwv] at hG + have hfactor_mul : s * ((t - s) * (2 * t + s)) = 0 := by + nlinarith only [hG] + have hfactor : (t - s) * (2 * t + s) = 0 := + (mul_eq_zero.mp hfactor_mul).resolve_left (ne_of_gt hs0) + have ht_ne_s : t ≠ s := by + intro hts + have hvn : ‖v‖ ^ 2 = s := by simpa only [real_inner_self_eq_norm_sq] using nv + have hwn : ‖w‖ ^ 2 = s := by simpa only [real_inner_self_eq_norm_sq] using nw + have hpolar := norm_sub_sq_real v w + have hvw_norm : ‖v - w‖ = dist c d := by + rw [hv, hw] + convert (dist_eq_norm c d).symm using 1 + abel_nf + rw [hvw_norm, hvn, hwn, ← ht, hts] at hpolar + have hdist_pos : 0 < dist c d := dist_pos.mpr hcd + have hdist_sq_pos : 0 < (dist c d) ^ 2 := by positivity + nlinarith only [hpolar, hdist_sq_pos] + have ht_opp : t = -(s / 2) := by + have hsecond := + (mul_eq_zero.mp hfactor).resolve_left (sub_ne_zero.mpr ht_ne_s) + linarith only [hsecond] + have hz_inner : ⟪w - u + v, w - u + v⟫_ℝ = 0 := by + simp only [inner_add_left, inner_add_right, inner_sub_left, inner_sub_right] + rw [nu, nv, nw, iuv, ivu, iuw, iwu, ← ht, iwv, ht_opp] + ring + have hz : w - u + v = 0 := inner_self_eq_zero.mp hz_inner + have hx_ac_norm : ‖y‖ = ‖y - v‖ := by + rw [hy, hv] + rw [dist_eq_norm, dist_eq_norm] at hx_ac + convert hx_ac using 1 + abel_nf + have hfan_ac := norm_sub_sq_real y v + have hynv : ‖v‖ ^ 2 = s := by simpa only [real_inner_self_eq_norm_sq] using nv + rw [← hx_ac_norm, hynv] at hfan_ac + have iyv : ⟪y, v⟫_ℝ = s / 2 := by nlinarith only [hfan_ac] + have hx_db_norm : ‖y - w‖ = ‖y - u‖ := by + rw [hy, hw, hu] + rw [dist_eq_norm, dist_eq_norm] at hx_db + convert hx_db using 1 <;> abel_nf + have hfan_d := norm_sub_sq_real y w + have hfan_b := norm_sub_sq_real y u + have hwn : ‖w‖ ^ 2 = s := by simpa only [real_inner_self_eq_norm_sq] using nw + have hun : ‖u‖ ^ 2 = s := by simpa only [real_inner_self_eq_norm_sq] using nu + rw [hx_db_norm, hwn] at hfan_d + rw [hun] at hfan_b + have iywu : ⟪y, w⟫_ℝ = ⟪y, u⟫_ℝ := by + nlinarith only [hfan_d, hfan_b] + have hinner_zero : ⟪y, w - u + v⟫_ℝ = 0 := by rw [hz, inner_zero_right] + simp only [inner_add_right, inner_sub_right] at hinner_zero + nlinarith only [hinner_zero, iywu, iyv, hs0] + +/-- The endpoint-swapped form of `no_rhombus_fan`. -/ +theorem no_rhombus_fan_swapped + {a b c d x : Plane} {R : ℝ} (hR : 0 < R) (hcd : c ≠ d) + (hab : dist a b = R) (hac : dist a c = R) (had : dist a d = R) + (hbc : dist b c = R) (hbd : dist b d = R) + (hx_bc : dist x b = dist x c) (hx_da : dist x d = dist x a) : + False := by + exact no_rhombus_fan hR hcd (by simpa [dist_comm] using hab) + hbc hbd hac had hx_bc hx_da + +end Erdos97Octagon diff --git a/LeanPool/Erdos97ConvexOctagon/RowSymmetry.lean b/LeanPool/Erdos97ConvexOctagon/RowSymmetry.lean new file mode 100644 index 000000000..3ccb10642 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/RowSymmetry.lean @@ -0,0 +1,208 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.CoverageFormula + +/-! +# First-row symmetry reduction + +The normalized zeroth row splits the remaining labels into `{2,3,4}` and +`{5,6,7}`. Permuting within those blocks reduces the 35 possible first rows +to seven canonical orbits. The small table below records an explicit forward +and inverse permutation for every row. +-/ + +namespace Erdos97Octagon.RawIncidence + +/-- The seven canonical first-row masks, in certificate order. -/ +def canonicalRowMask : Fin 7 → UInt64 := + ![29, 45, 101, 225, 60, 108, 228] + +/-- All first-row masks in the lexicographic search order. -/ +def rowOneMask : Fin 35 → UInt64 := ![ + 29, 45, 77, 141, 53, 85, 149, 101, 165, 197, 57, 89, 153, 105, 169, 201, + 113, 177, 209, 225, 60, 92, 156, 108, 172, 204, 116, 180, 212, 228, 120, + 184, 216, 232, 240 +] + +/-- All second-row masks in the lexicographic search order. -/ +def rowTwoMask : Fin 35 → UInt64 := ![ + 27, 43, 75, 139, 51, 83, 147, 99, 163, 195, 57, 89, 153, 105, 169, 201, + 113, 177, 209, 225, 58, 90, 154, 106, 170, 202, 114, 178, 210, 226, 120, + 184, 216, 232, 240 +] + +private theorem rowOneOptions_eq : + (rowOptions 1).reverse = List.ofFn (fun index => packedRow (rowOneMask index)) := by + decide + +private theorem rowTwoOptions_eq : + (rowOptions 2).reverse = List.ofFn (fun index => packedRow (rowTwoMask index)) := by + decide + +/-- Every legal first row has one of the 35 explicit masks. -/ +theorem exists_rowOneIndex (Q : OctagonIncidence) : + ∃ index : Fin 35, Q.targets 1 = packedRow (rowOneMask index) := by + have hmem : Q.targets 1 ∈ (rowOptions 1).reverse := by + simpa using target_row_mem_rowOptions Q 1 + rw [rowOneOptions_eq, List.mem_ofFn] at hmem + obtain ⟨index, hindex⟩ := hmem + exact ⟨index, hindex.symm⟩ + +/-- Every legal second row has one of the 35 explicit masks. -/ +theorem exists_rowTwoIndex (Q : OctagonIncidence) : + ∃ index : Fin 35, Q.targets 2 = packedRow (rowTwoMask index) := by + have hmem : Q.targets 2 ∈ (rowOptions 2).reverse := by + simpa using target_row_mem_rowOptions Q 2 + rw [rowTwoOptions_eq, List.mem_ofFn] at hmem + obtain ⟨index, hindex⟩ := hmem + exact ⟨index, hindex.symm⟩ + +/-- One explicit permutation taking a first row to a canonical orbit. -/ +structure RowSymmetryCertificate where + /-- Index of the canonical first-row orbit. -/ + orbit : Fin 7 + /-- Packed code for the forward vertex permutation. -/ + forwardCode : UInt64 + /-- Packed code for the inverse vertex permutation. -/ + inverseCode : UInt64 + +/-- Mathematical validity of a row-symmetry certificate. -/ +def RowSymmetryCertificate.Valid + (certificate : RowSymmetryCertificate) (sourceMask : UInt64) : Prop := + let forward := decodeMap certificate.forwardCode + let inverse := decodeMap certificate.inverseCode + (∀ vertex, inverse (forward vertex) = vertex) ∧ + (∀ vertex, forward (inverse vertex) = vertex) ∧ + forward 0 = 0 ∧ forward 1 = 1 ∧ + (∀ vertex, vertex ∈ standardTargets ↔ forward vertex ∈ standardTargets) ∧ + ∀ vertex, vertex ∈ packedRow sourceMask ↔ + forward vertex ∈ packedRow (canonicalRowMask certificate.orbit) + +instance instDecidableRowSymmetryCertificateValid + (certificate : RowSymmetryCertificate) (sourceMask : UInt64) : + Decidable (certificate.Valid sourceMask) := by + unfold RowSymmetryCertificate.Valid + infer_instance + +/-- The 35 explicit orbit certificates, aligned with `rowOneMask`. -/ +def rowSymmetryCertificate : Fin 35 → RowSymmetryCertificate := ![ + { orbit := 0, forwardCode := 16434824, inverseCode := 16434824 }, + { orbit := 1, forwardCode := 16434824, inverseCode := 16434824 }, + { orbit := 1, forwardCode := 16205448, inverseCode := 16205448 }, + { orbit := 1, forwardCode := 12535432, inverseCode := 14141064 }, + { orbit := 1, forwardCode := 16431240, inverseCode := 16431240 }, + { orbit := 1, forwardCode := 16201864, inverseCode := 16201864 }, + { orbit := 1, forwardCode := 12531848, inverseCode := 14137480 }, + { orbit := 2, forwardCode := 16434824, inverseCode := 16434824 }, + { orbit := 2, forwardCode := 14599816, inverseCode := 14599816 }, + { orbit := 2, forwardCode := 14141064, inverseCode := 12535432 }, + { orbit := 1, forwardCode := 16430344, inverseCode := 16427208 }, + { orbit := 1, forwardCode := 16200968, inverseCode := 16197832 }, + { orbit := 1, forwardCode := 12530952, inverseCode := 14133448 }, + { orbit := 2, forwardCode := 16434376, inverseCode := 16434376 }, + { orbit := 2, forwardCode := 14599368, inverseCode := 14599368 }, + { orbit := 2, forwardCode := 14140616, inverseCode := 12534984 }, + { orbit := 2, forwardCode := 16427208, inverseCode := 16430344 }, + { orbit := 2, forwardCode := 14592200, inverseCode := 14595336 }, + { orbit := 2, forwardCode := 14133448, inverseCode := 12530952 }, + { orbit := 3, forwardCode := 16434824, inverseCode := 16434824 }, + { orbit := 4, forwardCode := 16434824, inverseCode := 16434824 }, + { orbit := 4, forwardCode := 16205448, inverseCode := 16205448 }, + { orbit := 4, forwardCode := 12535432, inverseCode := 14141064 }, + { orbit := 5, forwardCode := 16434824, inverseCode := 16434824 }, + { orbit := 5, forwardCode := 14599816, inverseCode := 14599816 }, + { orbit := 5, forwardCode := 14141064, inverseCode := 12535432 }, + { orbit := 5, forwardCode := 16431240, inverseCode := 16431240 }, + { orbit := 5, forwardCode := 14596232, inverseCode := 14596232 }, + { orbit := 5, forwardCode := 14137480, inverseCode := 12531848 }, + { orbit := 6, forwardCode := 16434824, inverseCode := 16434824 }, + { orbit := 5, forwardCode := 16430344, inverseCode := 16427208 }, + { orbit := 5, forwardCode := 14595336, inverseCode := 14592200 }, + { orbit := 5, forwardCode := 14136584, inverseCode := 12527816 }, + { orbit := 6, forwardCode := 16434376, inverseCode := 16434376 }, + { orbit := 6, forwardCode := 16427208, inverseCode := 16430344 } +] + +/-- Kernel audit of all 35 explicit symmetry certificates. -/ +theorem rowSymmetryCertificate_valid (index : Fin 35) : + (rowSymmetryCertificate index).Valid (rowOneMask index) := by + fin_cases index <;> decide + +/-- Decode a valid row-symmetry certificate as a vertex equivalence. -/ +def RowSymmetryCertificate.toEquiv + (certificate : RowSymmetryCertificate) {sourceMask : UInt64} + (hvalid : certificate.Valid sourceMask) : Vertex ≃ Vertex where + toFun := decodeMap certificate.forwardCode + invFun := decodeMap certificate.inverseCode + left_inv := hvalid.1 + right_inv := hvalid.2.1 + +private theorem map_eq_of_membership + (equivalence : Vertex ≃ Vertex) (source target : Finset Vertex) + (hmembership : ∀ vertex, vertex ∈ source ↔ equivalence vertex ∈ target) : + source.map equivalence.toEmbedding = target := by + ext vertex + rw [Finset.mem_map] + constructor + · rintro ⟨preimage, hsource, rfl⟩ + exact (hmembership preimage).mp hsource + · intro htarget + refine ⟨equivalence.symm vertex, ?_, by simp⟩ + exact (hmembership (equivalence.symm vertex)).mpr (by simpa using htarget) + +/-- Relabel a normalized system so that row one is one of seven canonical rows. -/ +theorem canonicalize_rowOne + {p : Vertex → Plane} {Q : OctagonIncidence} + (hC : ConvexIndependent ℝ p) (hR : Realises p Q) (hN : Q.Normalized) + (index : Fin 35) (hrow : Q.targets 1 = packedRow (rowOneMask index)) : + ∃ orbit : Fin 7, ∃ p' : Vertex → Plane, ∃ Q' : OctagonIncidence, + ConvexIndependent ℝ p' ∧ Realises p' Q' ∧ Q'.Normalized ∧ + Q'.PairSparse ∧ Q'.Balanced ∧ + Q'.targets 1 = packedRow (canonicalRowMask orbit) := by + let certificate := rowSymmetryCertificate index + have hvalid : certificate.Valid (rowOneMask index) := + rowSymmetryCertificate_valid index + let equivalence := certificate.toEquiv hvalid + have hzero : equivalence 0 = 0 := by + simpa [equivalence, RowSymmetryCertificate.toEquiv] using hvalid.2.2.1 + have hone : equivalence 1 = 1 := by + simpa [equivalence, RowSymmetryCertificate.toEquiv] using hvalid.2.2.2.1 + have hzeroSymm : equivalence.symm 0 = 0 := by + apply equivalence.injective + simp [hzero] + have honeSymm : equivalence.symm 1 = 1 := by + apply equivalence.injective + simp [hone] + have hmapStandard : + standardTargets.map equivalence.toEmbedding = standardTargets := + map_eq_of_membership equivalence standardTargets standardTargets (by + intro vertex + simpa [equivalence, RowSymmetryCertificate.toEquiv] using + hvalid.2.2.2.2.1 vertex) + have hmapRow : + (packedRow (rowOneMask index)).map equivalence.toEmbedding = + packedRow (canonicalRowMask certificate.orbit) := + map_eq_of_membership equivalence (packedRow (rowOneMask index)) + (packedRow (canonicalRowMask certificate.orbit)) (by + intro vertex + simpa [equivalence, RowSymmetryCertificate.toEquiv] using + hvalid.2.2.2.2.2 vertex) + let p' := relabelPoints p equivalence + let Q' := Q.relabel equivalence + have hC' : ConvexIndependent ℝ p' := convexIndependent_relabel hC equivalence + have hR' : Realises p' Q' := realises_relabel hR equivalence + have hN' : Q'.Normalized := by + change (Q.targets (equivalence.symm 0)).map equivalence.toEmbedding = standardTargets + rw [hzeroSymm, hN, hmapStandard] + have hrow' : Q'.targets 1 = packedRow (canonicalRowMask certificate.orbit) := by + change (Q.targets (equivalence.symm 1)).map equivalence.toEmbedding = _ + rw [honeSymm, hrow, hmapRow] + have hSparse' : Q'.PairSparse := pairSparse_of_realises hC' Q' hR' + refine ⟨certificate.orbit, p', Q', hC', hR', hN', hSparse', + Q'.balanced_of_pairSparse hSparse', hrow'⟩ + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/projects.yml b/LeanPool/projects.yml index 3d96d2dd5..7e0383bbb 100644 --- a/LeanPool/projects.yml +++ b/LeanPool/projects.yml @@ -5054,6 +5054,44 @@ projects: msc: - "11A63" - "11B65" + - slug: erdos-97-convex-octagon + title: The Convex-Octagon Case of Erdős Problem 97 + summary: >- + Proves that among eight labelled points in the Euclidean plane in convex position, at least + one point has no four other points at a common distance. The development reduces a geometric + counterexample to a finite incidence model, classifies normalized row patterns up to symmetry, + proves geometric and algebraic obstructions, and excludes seven canonical first-row masks with + one regenerable LRAT certificate checked by a project-owned kernel-safe checker. This is the + convex-octagon case only; the general Erdős Problem 97 remains open. + branch: discrete geometry + entry_module: LeanPool.Erdos97ConvexOctagon + authors: + - Egor Lyfar + source: + title: On Sets of Distances of n Points + authors: + - Paul Erdős + doi: "10.1080/00029890.1946.11991674" + url: "https://www.erdosproblems.com/97" + github_repo: lyfar/erdos-97-octagon-lean + license: Apache-2.0 + status: verified + provenance: AI + main_declarations: + - Erdos97Octagon.erdos97_convex_octagon + main_results: + - declaration: Erdos97Octagon.erdos97_convex_octagon + informal: >- + Among eight labelled points in the Euclidean plane in convex position, some point has no + four other points at a common distance. + tags: + - discrete-geometry + - distance-geometry + - erdos-problems + - convexity + msc: + - "51K05" + - "52A10" - slug: erdos132-n14 title: A Conditional Fourteen-Point Case of Erdős Problem 132 summary: >- From acc965d65b0f259aa3ad173de9d6dbaec03719a2 Mon Sep 17 00:00:00 2001 From: Vasily Ilin Date: Wed, 29 Jul 2026 18:30:43 +0000 Subject: [PATCH 2/8] Optimize Erdos97 certificate compilation --- .../Erdos97ConvexOctagon/Certificates.lean | 56 +- .../Erdos97ConvexOctagon/CoverageData.lean | 7 +- .../Erdos97ConvexOctagon/CoverageData00.lean | 566 ++-------- .../Erdos97ConvexOctagon/CoverageData01.lean | 489 ++------ .../Erdos97ConvexOctagon/CoverageData02.lean | 532 ++------- .../Erdos97ConvexOctagon/CoverageData03.lean | 507 ++------- .../Erdos97ConvexOctagon/CoverageData04.lean | 459 ++------ .../Erdos97ConvexOctagon/CoverageData05.lean | 502 ++------- .../Erdos97ConvexOctagon/CoverageData06.lean | 451 ++------ .../Erdos97ConvexOctagon/CoverageData07.lean | 446 ++------ .../Erdos97ConvexOctagon/CoverageData08.lean | 422 ++----- .../Erdos97ConvexOctagon/CoverageData09.lean | 404 ++----- .../Erdos97ConvexOctagon/CoverageData10.lean | 458 ++------ .../Erdos97ConvexOctagon/CoverageData11.lean | 401 ++----- .../Erdos97ConvexOctagon/CoverageData12.lean | 418 ++----- .../Erdos97ConvexOctagon/CoverageData13.lean | 449 ++------ .../Erdos97ConvexOctagon/CoverageData14.lean | 449 ++------ .../Erdos97ConvexOctagon/CoverageData15.lean | 352 ++---- .../Erdos97ConvexOctagon/CoverageData16.lean | 416 ++----- .../Erdos97ConvexOctagon/CoverageData17.lean | 427 ++----- .../Erdos97ConvexOctagon/CoverageData18.lean | 383 ++----- .../Erdos97ConvexOctagon/CoverageData19.lean | 380 ++----- .../Erdos97ConvexOctagon/CoverageData20.lean | 409 ++----- .../Erdos97ConvexOctagon/CoverageData21.lean | 445 ++------ .../Erdos97ConvexOctagon/CoverageData22.lean | 442 ++------ .../Erdos97ConvexOctagon/CoverageData23.lean | 383 ++----- .../Erdos97ConvexOctagon/CoverageData24.lean | 459 ++------ .../Erdos97ConvexOctagon/CoverageData25.lean | 430 ++----- .../Erdos97ConvexOctagon/CoverageData26.lean | 484 ++------ .../Erdos97ConvexOctagon/CoverageData27.lean | 479 ++------ .../Erdos97ConvexOctagon/CoverageData28.lean | 459 ++------ .../Erdos97ConvexOctagon/CoverageData29.lean | 438 ++------ .../Erdos97ConvexOctagon/CoverageData30.lean | 424 ++----- .../Erdos97ConvexOctagon/CoverageData31.lean | 514 ++------- .../CoverageDataTypes.lean | 4 - .../Erdos97ConvexOctagon/CoverageFormula.lean | 48 +- LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean | 82 +- .../MasterCertificate.lean | 2 +- .../MasterCertificateData0.lean | 1000 ++++++++--------- .../MasterCertificateData1.lean | 1000 ++++++++--------- .../MasterCertificateData10.lean | 517 --------- .../MasterCertificateData11.lean | 517 --------- .../MasterCertificateData12.lean | 517 --------- .../MasterCertificateData13.lean | 517 --------- .../MasterCertificateData14.lean | 517 --------- .../MasterCertificateData15.lean | 517 --------- .../MasterCertificateData16.lean | 242 ---- .../MasterCertificateData2.lean | 1000 ++++++++--------- .../MasterCertificateData3.lean | 1000 ++++++++--------- .../MasterCertificateData4.lean | 1000 ++++++++--------- .../MasterCertificateData5.lean | 1000 ++++++++--------- .../MasterCertificateData6.lean | 1000 ++++++++--------- .../MasterCertificateData7.lean | 1000 ++++++++--------- .../MasterCertificateData8.lean | 1000 ++++++++--------- .../MasterCertificateData9.lean | 795 +++++-------- .../MasterCertificateManifest.lean | 30 +- .../MasterCertificateStage00.lean | 20 +- .../MasterCertificateStage01.lean | 15 +- .../MasterCertificateStage02.lean | 15 +- .../MasterCertificateStage03.lean | 40 - .../MasterCertificateStage04.lean | 40 - .../MasterCertificateStage05.lean | 40 - .../MasterCertificateStage06.lean | 40 - .../MasterCertificateStage07.lean | 40 - .../MasterCertificateStage08.lean | 40 - .../MasterCertificateStage09.lean | 40 - .../MasterCertificateStage10.lean | 40 - .../MasterCertificateStage11.lean | 40 - .../MasterCertificateStage12.lean | 40 - .../MasterCertificateStage13.lean | 40 - .../MasterCertificateStage14.lean | 40 - .../MasterCertificateStage15.lean | 40 - .../Erdos97ConvexOctagon/MasterFormula.lean | 57 +- .../MasterFormulaData.lean | 111 ++ LeanPool/Erdos97ConvexOctagon/Regenerate.lean | 362 +++++- 75 files changed, 7854 insertions(+), 20891 deletions(-) delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData10.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData11.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData12.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData13.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData14.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData15.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData16.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean create mode 100644 LeanPool/Erdos97ConvexOctagon/MasterFormulaData.lean diff --git a/LeanPool/Erdos97ConvexOctagon/Certificates.lean b/LeanPool/Erdos97ConvexOctagon/Certificates.lean index df15f02dd..27a40025e 100644 --- a/LeanPool/Erdos97ConvexOctagon/Certificates.lean +++ b/LeanPool/Erdos97ConvexOctagon/Certificates.lean @@ -52,10 +52,10 @@ def componentTreeB (R : RawIncidence) (root : Vertex) : List Vertex → Bool def TreeLabelledEdge (R : RawIncidence) (component : List Vertex) (a b : Vertex) : Prop := (a ∈ component ∧ b ∈ R a) ∨ (b ∈ component ∧ a ∈ R b) -instance (R : RawIncidence) (component : List Vertex) (a b : Vertex) : - Decidable (TreeLabelledEdge R component a b) := by - unfold TreeLabelledEdge - infer_instance +private def treeLabelledEdgeB + (R : RawIncidence) (component : List Vertex) (a b : Vertex) : Bool := + (decide (a ∈ component) && decide (b ∈ R a)) || + (decide (b ∈ component) && decide (a ∈ R b)) /-- The class number stored in a residual-isomorphism payload. -/ def payloadClass (payload : UInt64) : ℕ := @@ -109,10 +109,6 @@ def Certificate.Valid (R : RawIncidence) : Certificate → Prop ∀ v w, w ∈ R v ↔ forward w ∈ (residualRepresentative (Fin.ofNat 13 classIndex)).targets (forward v) -instance (R : RawIncidence) (certificate : Certificate) : - Decidable (certificate.Valid R) := by - cases certificate <;> simp only [Certificate.Valid] <;> infer_instance - private def residualValidB (R : RawIncidence) (payload : UInt64) : Bool := let classIndex := payloadClass payload let forward := decodeMap (payloadForwardCode payload) @@ -127,8 +123,31 @@ private def residualValidB (R : RawIncidence) (payload : UInt64) : Bool := /-- Kernel-check the mathematical content of an emitted witness. -/ def Certificate.validB (R : RawIncidence) : Certificate → Bool + | .k4 root component a b c d => + componentTreeB R root component && decide [a, b, c, d].Nodup && + treeLabelledEdgeB R component a b && treeLabelledEdgeB R component a c && + treeLabelledEdgeB R component a d && treeLabelledEdgeB R component b c && + treeLabelledEdgeB R component b d && treeLabelledEdgeB R component c d + | .hubPentagon root component o a b c d e => + componentTreeB R root component && decide [o, a, b, c, d, e].Nodup && + treeLabelledEdgeB R component o a && treeLabelledEdgeB R component o b && + treeLabelledEdgeB R component o c && treeLabelledEdgeB R component o d && + treeLabelledEdgeB R component o e && treeLabelledEdgeB R component a b && + treeLabelledEdgeB R component b c && treeLabelledEdgeB R component c d && + treeLabelledEdgeB R component d e && treeLabelledEdgeB R component e a + | .sharedThree a b q1 q2 q3 => + decide (a ≠ b) && decide (q1 ≠ q2) && decide (q1 ≠ q3) && decide (q2 ≠ q3) && + decide (q1 ∈ R a) && decide (q2 ∈ R a) && decide (q3 ∈ R a) && + decide (q1 ∈ R b) && decide (q2 ∈ R b) && decide (q3 ∈ R b) + | .cycleStrip root component o x1 x2 x3 x4 x5 x6 => + componentTreeB R root component && decide [o, x1, x2, x3, x4, x5, x6].Nodup && + treeLabelledEdgeB R component o x1 && treeLabelledEdgeB R component o x2 && + treeLabelledEdgeB R component o x6 && treeLabelledEdgeB R component x1 x2 && + treeLabelledEdgeB R component x1 x3 && treeLabelledEdgeB R component x2 x3 && + treeLabelledEdgeB R component x2 x4 && treeLabelledEdgeB R component x3 x4 && + treeLabelledEdgeB R component x3 x5 && treeLabelledEdgeB R component x4 x5 && + treeLabelledEdgeB R component x4 x6 && treeLabelledEdgeB R component x5 x6 | .residual payload => residualValidB R payload - | certificate => decide (certificate.Valid R) /-- The Boolean validator implies the mathematical certificate predicate. -/ theorem Certificate.valid_of_validB @@ -146,10 +165,21 @@ theorem Certificate.valid_of_validB · intro v w have hv := (List.all_eq_true.mp hedges) v (List.mem_finRange v) exact of_decide_eq_true ((List.all_eq_true.mp hv) w (List.mem_finRange w)) - | k4 root component a b c d => exact of_decide_eq_true hvalid - | hubPentagon root component o a b c d e => exact of_decide_eq_true hvalid - | sharedThree a b q1 q2 q3 => exact of_decide_eq_true hvalid - | cycleStrip root component o x1 x2 x3 x4 x5 x6 => exact of_decide_eq_true hvalid + | k4 root component a b c d => + simpa only [Certificate.validB, Bool.and_eq_true, decide_eq_true_eq, + treeLabelledEdgeB, TreeLabelledEdge, Certificate.Valid, Bool.or_eq_true, + and_assoc] using hvalid + | hubPentagon root component o a b c d e => + simpa only [Certificate.validB, Bool.and_eq_true, decide_eq_true_eq, + treeLabelledEdgeB, TreeLabelledEdge, Certificate.Valid, Bool.or_eq_true, + and_assoc] using hvalid + | sharedThree a b q1 q2 q3 => + simpa only [Certificate.validB, Bool.and_eq_true, decide_eq_true_eq, + Certificate.Valid, and_assoc] using hvalid + | cycleStrip root component o x1 x2 x3 x4 x5 x6 => + simpa only [Certificate.validB, Bool.and_eq_true, decide_eq_true_eq, + treeLabelledEdgeB, TreeLabelledEdge, Certificate.Valid, Bool.or_eq_true, + and_assoc] using hvalid /-- One incidence table extends another when it contains every selected edge. -/ def Extends (R S : RawIncidence) : Prop := diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData.lean index 31f4e1702..db451f2b3 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData.lean @@ -133,15 +133,12 @@ def hardEntry (origin : ℕ) : Option HardEntry := theorem patternEntry_sound {origin : ℕ} {entry : PatternEntry} (hfind : patternEntry origin = some entry) : - entry.origin = origin ∧ - entry.certificate.toCertificate.Valid (packedIncidence entry.mask) := by - refine ⟨?_, entry.valid⟩ + entry.origin = origin := by simpa using List.find?_some hfind theorem hardEntry_sound {origin : ℕ} {entry : HardEntry} (hfind : hardEntry origin = some entry) : - entry.origin = origin ∧ entry.certificate.Valid (packedIncidence entry.code) := by - refine ⟨?_, entry.valid⟩ + entry.origin = origin := by simpa using List.find?_some hfind end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData00.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData00.lean index 323f4c496..029dd30cd 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData00.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData00.lean @@ -13,504 +13,142 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets00 : Array (List PatternEntry) := #[ [ - { origin := 0 - mask := 7196 - certificate := .sharedThree 0 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 768 - mask := 8070539455250825216 - certificate := .k4 4 [4, 5, 7] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1280 - mask := 11272194355625984 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2048 - mask := 42785027821404184 - certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4096 - mask := 1447907609914900480 - certificate := .k4 2 [2, 4, 7, 6, 3] 2 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6656 - mask := 6777829138759680 - certificate := .k4 2 [2, 5, 4, 6, 3] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨0, 7196, .sharedThree 0 1 2 3 4⟩, + ⟨1280, 11272194355625984, .k4 2 [2, 3, 5, 6] 2 3 5 6⟩, + ⟨2048, 42785027821404184, .k4 0 [0, 3, 4, 6] 3 4 6 7⟩, + ⟨6656, 6777829138759680, .k4 2 [2, 5, 4, 6, 3] 1 2 3 4⟩ ], [ - { origin := 1 - mask := 1703962 - certificate := .sharedThree 0 2 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 257 - mask := 286851100 - certificate := .k4 0 [0, 2, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 513 - mask := 10770815905719296 - certificate := .k4 1 [1, 6, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 769 - mask := 8083962293202714624 - certificate := .k4 4 [4, 6, 7] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1793 - mask := 7036875513593884 - certificate := .k4 0 [0, 2, 3, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2049 - mask := 42785061912707096 - certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2305 - mask := 5802326003142492160 - certificate := .k4 2 [2, 6, 7, 4] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2817 - mask := 26547998752796 - certificate := .k4 0 [0, 2, 4, 5, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6657 - mask := 6777846117826560 - certificate := .k4 2 [2, 5, 4, 6, 3] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨1, 1703962, .sharedThree 0 2 1 3 4⟩, + ⟨257, 286851100, .k4 0 [0, 2, 3] 0 2 3 4⟩, + ⟨513, 10770815905719296, .k4 1 [1, 6, 5] 1 2 5 6⟩, + ⟨1793, 7036875513593884, .k4 0 [0, 2, 3, 6] 0 2 4 6⟩, + ⟨2049, 42785061912707096, .k4 0 [0, 3, 4, 6] 3 4 6 7⟩, + ⟨6657, 6777846117826560, .k4 2 [2, 5, 4, 6, 3] 1 2 3 4⟩ ], [ - { origin := 514 - mask := 11259000712620032 - certificate := .k4 1 [1, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 770 - mask := 50922766 - certificate := .k4 0 [0, 1, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1026 - mask := 1970324837187846 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1282 - mask := 11272194890399744 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1794 - mask := 7036875793500442 - certificate := .k4 0 [0, 1, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2050 - mask := 45108564053910528 - certificate := .k4 1 [1, 2, 5, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4610 - mask := 76965868563468 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8450 - mask := 13583693067657502 - certificate := .k4 0 [0, 1, 2, 5, 6, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8706 - mask := 4792955903720063262 - certificate := .k4 0 [0, 1, 3, 7, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨514, 11259000712620032, .k4 1 [1, 3, 6] 1 3 5 6⟩, + ⟨770, 50922766, .k4 0 [0, 1, 2, 3] 0 1 2 3⟩, + ⟨1026, 1970324837187846, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1282, 11272194890399744, .k4 2 [2, 3, 5, 6] 2 3 5 6⟩, + ⟨1794, 7036875793500442, .k4 0 [0, 1, 3, 6] 0 3 4 6⟩, + ⟨2050, 45108564053910528, .k4 1 [1, 2, 5, 6] 1 2 6 7⟩, + ⟨4610, 76965868563468, .k4 0 [0, 2, 3, 1, 5] 1 2 5 6⟩, + ⟨8450, 13583693067657502, .k4 0 [0, 1, 2, 5, 6, 4] 0 2 3 4⟩, ], [ - { origin := 771 - mask := 50924558 - certificate := .k4 0 [0, 2, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1027 - mask := 1970324837188614 - certificate := .k4 0 [0, 2, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1539 - mask := 27676770369564 - certificate := .k4 0 [0, 2, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1795 - mask := 7036875827642396 - certificate := .k4 0 [0, 2, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2819 - mask := 26560699629596 - certificate := .k4 0 [0, 2, 3, 5, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4355 - mask := 5805140522122608640 - certificate := .k4 2 [2, 3, 4, 7, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6659 - mask := 7036875513660702 - certificate := .k4 0 [0, 1, 3, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨771, 50924558, .k4 0 [0, 2, 3, 1] 0 1 2 3⟩, + ⟨1027, 1970324837188614, .k4 0 [0, 2, 1, 6] 0 1 2 6⟩, + ⟨1795, 7036875827642396, .k4 0 [0, 2, 3, 6] 0 3 4 6⟩, + ⟨2819, 26560699629596, .k4 0 [0, 2, 3, 5, 4] 0 2 3 4⟩, + ⟨4355, 5805140522122608640, .k4 2 [2, 3, 4, 7, 6] 2 3 4 6⟩, + ⟨6659, 7036875513660702, .k4 0 [0, 1, 3, 2, 6] 0 2 4 6⟩ ], [ - { origin := 772 - mask := 50988302 - certificate := .k4 0 [0, 1, 3, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1028 - mask := 1970324841235718 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1284 - mask := 11285698464186368 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6148 - mask := 79165430787084 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6660 - mask := 7036875547216924 - certificate := .k4 0 [0, 3, 1, 6, 2] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7428 - mask := 4792955903484264718 - certificate := .k4 0 [0, 1, 3, 7, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8708 - mask := 4792955942089556254 - certificate := .k4 0 [0, 1, 4, 7, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨772, 50988302, .k4 0 [0, 1, 3, 2] 0 1 2 3⟩, + ⟨1028, 1970324841235718, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1284, 11285698464186368, .k4 3 [3, 4, 5, 6] 3 4 5 6⟩, + ⟨6148, 79165430787084, .k4 0 [0, 2, 3, 1, 5] 1 2 5 6⟩, + ⟨7428, 4792955903484264718, .k4 0 [0, 1, 3, 7, 6, 2] 0 1 2 3⟩, ], [ - { origin := 261 - mask := 337182748 - certificate := .k4 0 [0, 2, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 517 - mask := 11340362928908288 - certificate := .k4 1 [1, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 773 - mask := 50990094 - certificate := .k4 0 [0, 3, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1029 - mask := 1970324841251846 - certificate := .k4 0 [0, 2, 6, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1285 - mask := 11285801543401472 - certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1541 - mask := 72569485535232 - certificate := .k4 1 [1, 3, 5, 2] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1797 - mask := 7037153595424796 - certificate := .k4 0 [0, 2, 4, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4101 - mask := 1513210028855821334 - certificate := .k4 0 [0, 4, 7, 2, 1] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4357 - mask := 5805791526348939264 - certificate := .k4 1 [1, 6, 7, 4, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6149 - mask := 79165464928522 - certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9221 - mask := 5922249353749534 - certificate := .k4 0 [0, 3, 4, 5, 6, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9989 - mask := 4940472293295006982 - certificate := .k4 0 [0, 1, 2, 7, 6, 4, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨261, 337182748, .k4 0 [0, 2, 3] 0 2 3 4⟩, + ⟨517, 11340362928908288, .k4 1 [1, 5, 6] 1 3 5 6⟩, + ⟨773, 50990094, .k4 0 [0, 3, 1, 2] 0 1 2 3⟩, + ⟨1029, 1970324841251846, .k4 0 [0, 2, 6, 1] 0 1 2 6⟩, + ⟨4101, 1513210028855821334, .k4 0 [0, 4, 7, 2, 1] 0 1 2 7⟩, + ⟨4357, 5805791526348939264, .k4 1 [1, 6, 7, 4, 5] 1 4 5 6⟩, + ⟨9221, 5922249353749534, .k4 0 [0, 3, 4, 5, 6, 1] 0 1 2 6⟩, + ⟨9989, 4940472293295006982, .k4 0 [0, 1, 2, 7, 6, 4, 5] 0 1 2 5⟩ ], [ - { origin := 6 - mask := 6381824 - certificate := .sharedThree 1 2 0 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 262 - mask := 353435676 - certificate := .k4 0 [0, 2, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 518 - mask := 11342561958952960 - certificate := .k4 2 [2, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1030 - mask := 1970324841301254 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1286 - mask := 11285835366268928 - certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1542 - mask := 72997271643136 - certificate := .k4 1 [1, 2, 5, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4102 - mask := 1513210031070773276 - certificate := .k4 0 [0, 4, 7, 2, 3] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4358 - mask := 5806354484898562048 - certificate := .k4 2 [2, 6, 7, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4870 - mask := 150242816163864 - certificate := .k4 0 [0, 3, 4, 5, 2] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6662 - mask := 7037153590856734 - certificate := .k4 0 [0, 2, 4, 1, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7430 - mask := 4792955916319359254 - certificate := .k4 0 [0, 1, 4, 7, 6, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨6, 6381824, .sharedThree 1 2 0 5 6⟩, + ⟨262, 353435676, .k4 0 [0, 2, 3] 0 2 3 4⟩, + ⟨518, 11342561958952960, .k4 2 [2, 5, 6] 2 3 5 6⟩, + ⟨1030, 1970324841301254, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1286, 11285835366268928, .k4 3 [3, 4, 6, 5] 3 4 5 6⟩, + ⟨1542, 72997271643136, .k4 1 [1, 2, 5, 4] 2 4 5 6⟩, + ⟨4358, 5806354484898562048, .k4 2 [2, 6, 7, 4, 5] 2 4 5 6⟩, + ⟨4870, 150242816163864, .k4 0 [0, 3, 4, 5, 2] 2 4 5 7⟩, + ⟨6662, 7037153590856734, .k4 0 [0, 2, 4, 1, 6] 0 1 3 6⟩, + ⟨7430, 4792955916319359254, .k4 0 [0, 1, 4, 7, 6, 2] 0 1 2 4⟩ ], [ - { origin := 7 - mask := 6842368 - certificate := .sharedThree 1 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 263 - mask := 353894428 - certificate := .k4 0 [0, 3, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 519 - mask := 11356202768269312 - certificate := .k4 4 [4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 775 - mask := 84085774 - certificate := .k4 0 [0, 2, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1031 - mask := 1970324841316614 - certificate := .k4 0 [0, 1, 6, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1799 - mask := 7037200836395036 - certificate := .k4 0 [0, 2, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4359 - mask := 5807480403589595136 - certificate := .k4 3 [3, 6, 7, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨7, 6842368, .sharedThree 1 2 3 5 6⟩, + ⟨263, 353894428, .k4 0 [0, 3, 2] 0 2 3 4⟩, + ⟨519, 11356202768269312, .k4 4 [4, 5, 6] 3 4 5 6⟩, + ⟨775, 84085774, .k4 0 [0, 2, 3, 1] 0 1 2 3⟩, + ⟨1031, 1970324841316614, .k4 0 [0, 1, 6, 2] 0 1 2 6⟩, + ⟨1799, 7037200836395036, .k4 0 [0, 2, 4, 6] 0 3 4 6⟩, + ⟨4359, 5807480403589595136, .k4 3 [3, 6, 7, 4, 5] 3 4 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets00 : Array (List HardEntry) := #[ [ - { origin := 0 - code := 8697799730556775710 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 1 3 5 7 6 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 768 - code := 6020701831342613790 - certificate := .residual 104390639921009 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1024 - code := 8153717281279011870 - certificate := .residual 1339015425089107 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1280 - code := 3870992639438515230 - certificate := .residual 3018991752198694 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5376 - code := 5590592674009309470 - certificate := .residual 3915966730421769 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5632 - code := 6428199806150304030 - certificate := .residual 1734974158594661 - valid := Certificate.valid_of_validB (by decide) } + ⟨0, 8697799730556775710, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 1 3 5 7 6 4⟩, + ⟨768, 6020701831342613790, .residual 104390639921009⟩, + ⟨1024, 8153717281279011870, .residual 1339015425089107⟩, + ⟨1280, 3870992639438515230, .residual 3018991752198694⟩, + ⟨5376, 5590592674009309470, .residual 3915966730421769⟩, + ⟨5632, 6428199806150304030, .residual 1734974158594661⟩ ], [ - { origin := 1 - code := 8697795349690133790 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 2 0 1 5 6 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 769 - code := 3717101826386453790 - certificate := .residual 605269692606434 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1025 - code := 8190575647154334750 - certificate := .residual 307506372826355 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1281 - code := 3148396054435752990 - certificate := .residual 3302134262631687 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5377 - code := 7824238863525208350 - certificate := .residual 199278788155888 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5633 - code := 6141095329905434910 - certificate := .residual 3035551636309698 - valid := Certificate.valid_of_validB (by decide) } + ⟨1, 8697795349690133790, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 2 0 1 5 6 4⟩, + ⟨769, 3717101826386453790, .residual 605269692606434⟩, + ⟨1025, 8190575647154334750, .residual 307506372826355⟩, + ⟨1281, 3148396054435752990, .residual 3302134262631687⟩, + ⟨5377, 7824238863525208350, .residual 199278788155888⟩, + ⟨5633, 6141095329905434910, .residual 3035551636309698⟩ ], [ - { origin := 2 - code := 8410689778228604190 - certificate := .residual 4411689737676934 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 770 - code := 8256726681708422430 - certificate := .residual 4409479976808705 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1026 - code := 5418893192665328670 - certificate := .residual 3746517855920788 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1282 - code := 3139951933983452190 - certificate := .residual 347141178295410 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5378 - code := 5599249129591660830 - certificate := .residual 208055910283760 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5634 - code := 6425956802429640990 - certificate := .residual 4231650588109506 - valid := Certificate.valid_of_validB (by decide) } + ⟨2, 8410689778228604190, .residual 4411689737676934⟩, + ⟨770, 8256726681708422430, .residual 4409479976808705⟩, + ⟨1026, 5418893192665328670, .residual 3746517855920788⟩, + ⟨1282, 3139951933983452190, .residual 347141178295410⟩, + ⟨5378, 5599249129591660830, .residual 208055910283760⟩, + ⟨5634, 6425956802429640990, .residual 4231650588109506⟩ ], [ - { origin := 3 - code := 8693859081117707550 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 771 - code := 3717098527901902110 - certificate := .residual 4411689737676933 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1027 - code := 5418892097448668190 - certificate := .residual 3746517855920785 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1283 - code := 5996977923177999390 - certificate := .residual 2317586278089825 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5379 - code := 8398447679112864030 - certificate := .residual 199276909050352 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5635 - code := 5564643373695033630 - certificate := .residual 2920824465876805 - valid := Certificate.valid_of_validB (by decide) } + ⟨3, 8693859081117707550, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3⟩, + ⟨771, 3717098527901902110, .residual 4411689737676933⟩, + ⟨1027, 5418892097448668190, .residual 3746517855920785⟩, + ⟨1283, 5996977923177999390, .residual 2317586278089825⟩, + ⟨5379, 8398447679112864030, .residual 199276909050352⟩, + ⟨5635, 5564643373695033630, .residual 2920824465876805⟩ ], [ - { origin := 4 - code := 7397959300637994270 - certificate := .residual 4411689737676931 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 772 - code := 7652624885687543070 - certificate := .residual 4189839890960416 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1028 - code := 3145293499375119390 - certificate := .residual 3253936643007124 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1284 - code := 5158251776292449310 - certificate := .residual 3893577870611859 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5380 - code := 3865946433514103070 - certificate := .residual 1013831082619824 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5636 - code := 5563521871834702110 - certificate := .residual 3528256976411330 - valid := Certificate.valid_of_validB (by decide) } + ⟨4, 7397959300637994270, .residual 4411689737676931⟩, + ⟨772, 7652624885687543070, .residual 4189839890960416⟩, + ⟨1028, 3145293499375119390, .residual 3253936643007124⟩, + ⟨1284, 5158251776292449310, .residual 3893577870611859⟩, + ⟨5380, 3865946433514103070, .residual 1013831082619824⟩, + ⟨5636, 5563521871834702110, .residual 3528256976411330⟩ ], [ - { origin := 5 - code := 7684223732869704990 - certificate := .residual 4349139977733382 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 773 - code := 8226825029383906590 - certificate := .residual 4251412542173216 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1029 - code := 3145012028693376030 - certificate := .residual 3253936643007121 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1285 - code := 5452051303426452510 - certificate := .residual 4408292418399751 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5381 - code := 3862342896896958750 - certificate := .residual 4350102050465026 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5637 - code := 3141636414015463710 - certificate := .residual 1441062780320802 - valid := Certificate.valid_of_validB (by decide) } + ⟨5, 7684223732869704990, .residual 4349139977733382⟩, + ⟨773, 8226825029383906590, .residual 4251412542173216⟩, + ⟨1029, 3145012028693376030, .residual 3253936643007121⟩, + ⟨1285, 5452051303426452510, .residual 4408292418399751⟩, + ⟨5381, 3862342896896958750, .residual 4350102050465026⟩, + ⟨5637, 3141636414015463710, .residual 1441062780320802⟩ ], [ - { origin := 6 - code := 8693009180154604830 - certificate := .residual 155917796596467 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 774 - code := 7690130066659042590 - certificate := .residual 3916673252471171 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1030 - code := 4158170209613736990 - certificate := .residual 4317250646643984 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1286 - code := 5163820944454609950 - certificate := .residual 3884919216541330 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5382 - code := 7798428910396104990 - certificate := .residual 3364939598947586 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5638 - code := 3285736200573477150 - certificate := .residual 2489030601069602 - valid := Certificate.valid_of_validB (by decide) } + ⟨6, 8693009180154604830, .residual 155917796596467⟩, + ⟨774, 7690130066659042590, .residual 3916673252471171⟩, + ⟨1030, 4158170209613736990, .residual 4317250646643984⟩, + ⟨1286, 5163820944454609950, .residual 3884919216541330⟩, + ⟨5382, 7798428910396104990, .residual 3364939598947586⟩, + ⟨5638, 3285736200573477150, .residual 2489030601069602⟩ ], [ - { origin := 7 - code := 7399917398290279710 - certificate := .residual 4411689737676932 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 775 - code := 3150432644676936990 - certificate := .residual 157994266016500 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1031 - code := 3871062447718886430 - certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 5, 7, 6] 0 1 2 7 4 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1287 - code := 2858261605449231390 - certificate := .residual 3331727417808275 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5383 - code := 4154172000913056030 - certificate := .residual 1013834873746352 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5639 - code := 7653121739334017310 - certificate := .residual 1076505035839408 - valid := Certificate.valid_of_validB (by decide) } + ⟨7, 7399917398290279710, .residual 4411689737676932⟩, + ⟨775, 3150432644676936990, .residual 157994266016500⟩, + ⟨1031, 3871062447718886430, .hubPentagon 0 [0, 2, 3, 4, 1, 5, 7, 6] 0 1 2 7 4 3⟩, + ⟨1287, 2858261605449231390, .residual 3331727417808275⟩, + ⟨5383, 4154172000913056030, .residual 1013834873746352⟩, + ⟨5639, 7653121739334017310, .residual 1076505035839408⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData01.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData01.lean index 66de784e8..053203316 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData01.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData01.lean @@ -13,448 +13,121 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets01 : Array (List PatternEntry) := #[ [ - { origin := 264 - mask := 573189120 - certificate := .k4 1 [1, 2, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 520 - mask := 11550371277176832 - certificate := .k4 3 [3, 5, 6] 0 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1288 - mask := 11331567406311424 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1544 - mask := 73016356644864 - certificate := .k4 1 [1, 3, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1800 - mask := 9361242003301632 - certificate := .k4 1 [1, 2, 5, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4104 - mask := 1513210061336936460 - certificate := .k4 0 [0, 2, 7, 4, 3] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨520, 11550371277176832, .k4 3 [3, 5, 6] 0 3 5 6⟩, + ⟨1288, 11331567406311424, .k4 1 [1, 3, 5, 6] 1 3 5 6⟩, + ⟨4104, 1513210061336936460, .k4 0 [0, 2, 7, 4, 3] 0 2 3 7⟩ ], [ - { origin := 265 - mask := 606743552 - certificate := .k4 1 [1, 2, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 521 - mask := 11611943928332288 - certificate := .k4 3 [3, 6, 5] 0 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 777 - mask := 84544526 - certificate := .k4 0 [0, 3, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1033 - mask := 2533275885699084 - certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1289 - mask := 11331568446498816 - certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2313 - mask := 5809644498567823360 - certificate := .k4 2 [2, 4, 7, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4361 - mask := 5810792234088398848 - certificate := .k4 2 [2, 5, 6, 7, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7433 - mask := 4794081804510527758 - certificate := .k4 0 [0, 1, 2, 7, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8457 - mask := 13585844848430110 - certificate := .k4 0 [0, 4, 6, 5, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨265, 606743552, .k4 1 [1, 2, 3] 1 2 3 5⟩, + ⟨777, 84544526, .k4 0 [0, 3, 2, 1] 0 1 2 3⟩, + ⟨1033, 2533275885699084, .k4 0 [0, 2, 3, 6] 0 2 3 6⟩, + ⟨1289, 11331568446498816, .k4 1 [1, 5, 6, 3] 1 3 5 6⟩, + ⟨4361, 5810792234088398848, .k4 2 [2, 5, 6, 7, 4] 2 4 5 6⟩, + ⟨7433, 4794081804510527758, .k4 0 [0, 1, 2, 7, 6, 3] 0 1 2 3⟩, ], [ - { origin := 266 - mask := 639773696 - certificate := .k4 1 [1, 2, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 522 - mask := 11620738947612672 - certificate := .k4 3 [3, 5, 6] 0 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1546 - mask := 74768437111808 - certificate := .k4 1 [1, 2, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2314 - mask := 5809644517619400704 - certificate := .k4 3 [3, 4, 7, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3594 - mask := 10225647926902784 - certificate := .k4 2 [2, 6, 5, 4, 3] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7434 - mask := 4794081817596559642 - certificate := .k4 0 [0, 1, 4, 7, 6, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨1546, 74768437111808, .k4 1 [1, 2, 3, 5] 1 3 5 6⟩, + ⟨7434, 4794081817596559642, .k4 0 [0, 1, 4, 7, 6, 3] 0 1 3 4⟩ ], [ - { origin := 11 - mask := 10592512 - certificate := .sharedThree 1 2 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 267 - mask := 640166912 - certificate := .k4 1 [1, 3, 2] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 523 - mask := 11620739484483584 - certificate := .k4 3 [3, 6, 5] 0 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 779 - mask := 100862990 - certificate := .k4 0 [0, 2, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1035 - mask := 2533275914486026 - certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1291 - mask := 11331568480051200 - certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4107 - mask := 1729382826329571356 - certificate := .k4 0 [0, 2, 3, 7, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4363 - mask := 5814222572928106496 - certificate := .k4 2 [2, 5, 6, 7, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5899 - mask := 12116106420510 - certificate := .k4 0 [0, 1, 4, 5, 2] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6667 - mask := 9644916051821838 - certificate := .k4 0 [0, 1, 3, 6, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨11, 10592512, .sharedThree 1 2 0 5 7⟩, + ⟨779, 100862990, .k4 0 [0, 2, 1, 3] 0 1 2 3⟩, + ⟨1035, 2533275914486026, .k4 0 [0, 1, 3, 6] 0 1 3 6⟩, + ⟨1291, 11331568480051200, .k4 1 [1, 5, 6, 3] 1 3 5 6⟩, + ⟨4107, 1729382826329571356, .k4 0 [0, 2, 3, 7, 4] 0 2 3 4⟩, + ⟨5899, 12116106420510, .k4 0 [0, 1, 4, 5, 2] 0 2 3 5⟩, ], [ - { origin := 524 - mask := 11821949592299520 - certificate := .k4 1 [1, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 780 - mask := 101254414 - certificate := .k4 0 [0, 1, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1036 - mask := 2533275914487818 - certificate := .k4 0 [0, 3, 1, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1292 - mask := 11333766469910528 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4108 - mask := 1729382830557429788 - certificate := .k4 0 [0, 2, 4, 7, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4364 - mask := 5814226972846325760 - certificate := .k4 3 [3, 5, 6, 7, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7692 - mask := 75213759972618 - certificate := .k4 0 [0, 1, 3, 2, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨524, 11821949592299520, .k4 1 [1, 3, 6] 1 3 5 6⟩, + ⟨780, 101254414, .k4 0 [0, 1, 2, 3] 0 1 2 3⟩, + ⟨1036, 2533275914487818, .k4 0 [0, 3, 1, 6] 0 1 3 6⟩, + ⟨4364, 5814226972846325760, .k4 3 [3, 5, 6, 7, 4] 3 4 5 6⟩, ], [ - { origin := 525 - mask := 11821950632486912 - certificate := .k4 1 [1, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 781 - mask := 101256206 - certificate := .k4 0 [0, 2, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1037 - mask := 2533275936030732 - certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨525, 11821950632486912, .k4 1 [1, 6, 3] 1 3 5 6⟩, + ⟨781, 101256206, .k4 0 [0, 2, 3, 1] 0 1 2 3⟩, + ⟨1037, 2533275936030732, .k4 0 [0, 2, 3, 6] 0 2 3 6⟩ ], [ - { origin := 14 - mask := 12697856 - certificate := .sharedThree 1 2 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 270 - mask := 1112165376 - certificate := .k4 1 [1, 2, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 526 - mask := 11821950666024960 - certificate := .k4 1 [1, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 782 - mask := 101319950 - certificate := .k4 0 [0, 1, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1038 - mask := 2533275952283660 - certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3086 - mask := 3400137774202880 - certificate := .k4 2 [2, 3, 5, 6, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4110 - mask := 1729382843258306588 - certificate := .k4 0 [0, 2, 3, 7, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7438 - mask := 4796333903797518614 - certificate := .k4 0 [0, 1, 2, 7, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨14, 12697856, .sharedThree 1 2 0 6 7⟩, + ⟨270, 1112165376, .k4 1 [1, 2, 3] 1 2 3 6⟩, + ⟨1038, 2533275952283660, .k4 0 [0, 2, 3, 6] 0 2 3 6⟩, + ⟨4110, 1729382843258306588, .k4 0 [0, 2, 3, 7, 4] 0 2 3 4⟩, + ⟨7438, 4796333903797518614, .k4 0 [0, 1, 2, 7, 6, 4] 0 1 2 4⟩ ], [ - { origin := 271 - mask := 1145719808 - certificate := .k4 1 [1, 2, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 527 - mask := 11821950666039296 - certificate := .k4 1 [1, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1039 - mask := 2533275952742412 - certificate := .k4 0 [0, 3, 2, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2319 - mask := 5811896283073347584 - certificate := .k4 3 [3, 6, 7, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7439 - mask := 4796333921027522842 - certificate := .k4 0 [0, 1, 3, 7, 6, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨527, 11821950666039296, .k4 1 [1, 6, 3] 1 3 5 6⟩, + ⟨1039, 2533275952742412, .k4 0 [0, 3, 2, 6] 0 2 3 6⟩, + ⟨2319, 5811896283073347584, .k4 3 [3, 6, 7, 4] 3 4 5 6⟩, + ⟨7439, 4796333921027522842, .k4 0 [0, 1, 3, 7, 6, 4] 0 1 3 4⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets01 : Array (List HardEntry) := #[ [ - { origin := 8 - code := 8697799730289388830 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 2 0 1 5 6 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 776 - code := 8266581603606816030 - certificate := .residual 3916658220028291 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1032 - code := 5420594277881441310 - certificate := .residual 768639863790514 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1288 - code := 3140075081450941470 - certificate := .residual 4346719763574279 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5384 - code := 3285891231469789470 - certificate := .residual 4349139977733378 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5640 - code := 3146988536760295710 - certificate := .residual 263033069355504 - valid := Certificate.valid_of_validB (by decide) } + ⟨8, 8697799730289388830, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 2 0 1 5 6 4⟩, + ⟨776, 8266581603606816030, .residual 3916658220028291⟩, + ⟨1032, 5420594277881441310, .residual 768639863790514⟩, + ⟨1288, 3140075081450941470, .residual 4346719763574279⟩, + ⟨5384, 3285891231469789470, .residual 4349139977733378⟩, + ⟨5640, 3146988536760295710, .residual 263033069355504⟩ ], [ - { origin := 9 - code := 8410694158827859230 - certificate := .residual 3918988239981702 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 777 - code := 3726884181624710430 - certificate := .residual 157979233573620 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1033 - code := 5419406806330076190 - certificate := .residual 1203547363024721 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1289 - code := 2851844722479098910 - certificate := .residual 3323068763737746 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5385 - code := 4154163606970425630 - certificate := .residual 1022613787071408 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5641 - code := 7654234419566403870 - certificate := .residual 3300225149774344 - valid := Certificate.valid_of_validB (by decide) } + ⟨9, 8410694158827859230, .residual 3918988239981702⟩, + ⟨777, 3726884181624710430, .residual 157979233573620⟩, + ⟨1033, 5419406806330076190, .residual 1203547363024721⟩, + ⟨1289, 2851844722479098910, .residual 3323068763737746⟩, + ⟨5385, 4154163606970425630, .residual 1022613787071408⟩, + ⟨5641, 7654234419566403870, .residual 3300225149774344⟩ ], [ - { origin := 10 - code := 8697795349422746910 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 1 2 5 6 7 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 778 - code := 3150432618907526430 - certificate := .residual 157994266016497 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1034 - code := 3713174884401638430 - certificate := .residual 1343842705006036 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1290 - code := 5130667230218972190 - certificate := .residual 3746380685381268 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5386 - code := 8374880746683490590 - certificate := .residual 3363977526215938 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5642 - code := 7650869913985409310 - certificate := .residual 3300225149774345 - valid := Certificate.valid_of_validB (by decide) } + ⟨10, 8697795349422746910, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 1 2 5 6 7 4⟩, + ⟨778, 3150432618907526430, .residual 157994266016497⟩, + ⟨1034, 3713174884401638430, .residual 1343842705006036⟩, + ⟨1290, 5130667230218972190, .residual 3746380685381268⟩, + ⟨5386, 8374880746683490590, .residual 3363977526215938⟩, + ⟨5642, 7650869913985409310, .residual 3300225149774345⟩ ], [ - { origin := 11 - code := 8689069625664810270 - certificate := .hubPentagon 0 [0, 1, 2, 4, 3, 5, 6, 7] 0 1 2 6 4 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 779 - code := 8693867215323751710 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1035 - code := 5446490936687815710 - certificate := .residual 236284790560113 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1291 - code := 5130666135002311710 - certificate := .residual 3746380685381265 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5387 - code := 3289485261948576030 - certificate := .residual 1022609995944880 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5643 - code := 8659741810657255710 - certificate := .residual 3362744870465794 - valid := Certificate.valid_of_validB (by decide) } + ⟨11, 8689069625664810270, .hubPentagon 0 [0, 1, 2, 4, 3, 5, 6, 7] 0 1 2 6 4 3⟩, + ⟨779, 8693867215323751710, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 4⟩, + ⟨1035, 5446490936687815710, .residual 236284790560113⟩, + ⟨1291, 5130666135002311710, .residual 3746380685381265⟩, + ⟨5387, 3289485261948576030, .residual 1022609995944880⟩, + ⟨5643, 8659741810657255710, .residual 3362744870465794⟩ ], [ - { origin := 12 - code := 6168184248254803230 - certificate := .residual 4403991276775443 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 780 - code := 7654313722328474910 - certificate := .residual 1167913026665954 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1036 - code := 5455147529172249630 - certificate := .residual 1703548918296290 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1292 - code := 2858189038789094430 - certificate := .residual 3253799472467604 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5388 - code := 3857276638301118750 - certificate := .residual 209140128487920 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5644 - code := 4149307752152490270 - certificate := .residual 3035688894908098 - valid := Certificate.valid_of_validB (by decide) } + ⟨12, 6168184248254803230, .residual 4403991276775443⟩, + ⟨780, 7654313722328474910, .residual 1167913026665954⟩, + ⟨1036, 5455147529172249630, .residual 1703548918296290⟩, + ⟨1292, 2858189038789094430, .residual 3253799472467604⟩, + ⟨5388, 3857276638301118750, .residual 209140128487920⟩, + ⟨5644, 4149307752152490270, .residual 3035688894908098⟩ ], [ - { origin := 13 - code := 8688509961394924830 - certificate := .residual 708974291475411 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 781 - code := 4154171992331347230 - certificate := .residual 2471328076515536 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1037 - code := 8189464194495114270 - certificate := .residual 3299984631541254 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1293 - code := 2857907568107351070 - certificate := .residual 3253799472467601 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5389 - code := 3865933230785552670 - certificate := .residual 4346975314200073 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5645 - code := 3862203275907621150 - certificate := .residual 1734838808404581 - valid := Certificate.valid_of_validB (by decide) } + ⟨13, 8688509961394924830, .residual 708974291475411⟩, + ⟨781, 4154171992331347230, .residual 2471328076515536⟩, + ⟨1037, 8189464194495114270, .residual 3299984631541254⟩, + ⟨1293, 2857907568107351070, .residual 3253799472467601⟩, + ⟨5389, 3865933230785552670, .residual 4346975314200073⟩, + ⟨5645, 3862203275907621150, .residual 1734838808404581⟩ ], [ - { origin := 14 - code := 6454721393713163550 - certificate := .residual 4278891759698982 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 782 - code := 6463102686283326750 - certificate := .residual 1243631141429042 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1038 - code := 8192693988426869790 - certificate := .residual 1831459452811859 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1294 - code := 5132297947931765790 - certificate := .residual 1766497048060753 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5390 - code := 3289481274575151390 - certificate := .residual 4346975314200072 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5646 - code := 4147064748431827230 - certificate := .residual 2920841436030789 - valid := Certificate.valid_of_validB (by decide) } + ⟨14, 6454721393713163550, .residual 4278891759698982⟩, + ⟨782, 6463102686283326750, .residual 1243631141429042⟩, + ⟨1038, 8192693988426869790, .residual 1831459452811859⟩, + ⟨1294, 5132297947931765790, .residual 1766497048060753⟩, + ⟨5390, 3289481274575151390, .residual 4346975314200072⟩, + ⟨5646, 4147064748431827230, .residual 2920841436030789⟩ ], [ - { origin := 15 - code := 6175167135772519710 - certificate := .residual 4403991276775444 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 783 - code := 8262233563400398110 - certificate := .residual 3254039990700688 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1039 - code := 6451358515895823390 - certificate := .residual 4410442049490187 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1295 - code := 3714161027419499550 - certificate := .residual 1734880180889185 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5391 - code := 3280824408286552350 - certificate := .residual 209138249382384 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5647 - code := 3285751319697219870 - certificate := .residual 3668700697602754 - valid := Certificate.valid_of_validB (by decide) } + ⟨15, 6175167135772519710, .residual 4403991276775444⟩, + ⟨783, 8262233563400398110, .residual 3254039990700688⟩, + ⟨1039, 6451358515895823390, .residual 4410442049490187⟩, + ⟨1295, 3714161027419499550, .residual 1734880180889185⟩, + ⟨5391, 3280824408286552350, .residual 209138249382384⟩, + ⟨5647, 3285751319697219870, .residual 3668700697602754⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData02.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData02.lean index 4a024cf81..051808aec 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData02.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData02.lean @@ -13,484 +13,128 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets02 : Array (List PatternEntry) := #[ [ - { origin := 272 - mask := 1178749952 - certificate := .k4 1 [1, 2, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 784 - mask := 12886017302 - certificate := .k4 0 [0, 1, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1040 - mask := 2533555322224664 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1296 - mask := 11338164476078080 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1552 - mask := 76965818230022 - certificate := .k4 0 [0, 1, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6416 - mask := 1708821463985152 - certificate := .k4 1 [1, 5, 6, 4, 2] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨784, 12886017302, .k4 0 [0, 1, 2, 4] 0 1 2 4⟩, + ⟨1040, 2533555322224664, .k4 0 [0, 3, 4, 6] 0 3 4 6⟩, + ⟨1552, 76965818230022, .k4 0 [0, 1, 2, 5] 1 2 5 6⟩, + ⟨6416, 1708821463985152, .k4 1 [1, 5, 6, 4, 2] 1 2 3 4⟩ ], [ - { origin := 17 - mask := 14737408 - certificate := .sharedThree 1 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 273 - mask := 1179143168 - certificate := .k4 1 [1, 3, 2] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 529 - mask := 11901113859074048 - certificate := .k4 1 [1, 6, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1041 - mask := 2533585386995736 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1553 - mask := 76965818360070 - certificate := .k4 0 [0, 1, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2321 - mask := 5850670421308866560 - certificate := .k4 4 [4, 6, 7, 5] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨17, 14737408, .sharedThree 1 2 5 6 7⟩, + ⟨529, 11901113859074048, .k4 1 [1, 6, 5] 1 3 5 6⟩, + ⟨1041, 2533585386995736, .k4 0 [0, 3, 4, 6] 0 3 4 6⟩, + ⟨1553, 76965818360070, .k4 0 [0, 1, 2, 5] 1 2 5 6⟩, + ⟨2321, 5850670421308866560, .k4 4 [4, 6, 7, 5] 0 5 6 7⟩ ], [ - { origin := 18 - mask := 369098774 - certificate := .sharedThree 0 3 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 274 - mask := 1179272192 - certificate := .k4 1 [1, 2, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 530 - mask := 12384899586064384 - certificate := .k4 2 [2, 3, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 786 - mask := 12886082838 - certificate := .k4 0 [0, 1, 4, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1042 - mask := 2533589413527576 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1298 - mask := 11338165012948992 - certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2322 - mask := 5882142704703373312 - certificate := .k4 4 [4, 5, 7, 6] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3602 - mask := 10487141910012934 - certificate := .k4 0 [0, 2, 6, 5, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4626 - mask := 79165397296394 - certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10002 - mask := 4945031556302507278 - certificate := .k4 0 [0, 1, 2, 7, 6, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨18, 369098774, .sharedThree 0 3 1 2 4⟩, + ⟨530, 12384899586064384, .k4 2 [2, 3, 6] 2 3 5 6⟩, + ⟨786, 12886082838, .k4 0 [0, 1, 4, 2] 0 1 2 4⟩, + ⟨2322, 5882142704703373312, .k4 4 [4, 5, 7, 6] 0 5 6 7⟩, + ⟨3602, 10487141910012934, .k4 0 [0, 2, 6, 5, 1] 0 1 2 6⟩, + ⟨10002, 4945031556302507278, .k4 0 [0, 1, 2, 7, 6, 5, 3] 0 1 2 3⟩ ], [ - { origin := 19 - mask := 589496320 - certificate := .sharedThree 2 3 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1043 - mask := 2533589665185816 - certificate := .k4 0 [0, 4, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1811 - mask := 9644916636412928 - certificate := .k4 1 [1, 3, 6, 5] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2067 - mask := 504403158358425614 - certificate := .k4 0 [0, 3, 2, 7] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2835 - mask := 27539885064220 - certificate := .k4 0 [0, 2, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3091 - mask := 3404518373457920 - certificate := .k4 2 [2, 3, 6, 5, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3859 - mask := 13598923026482176 - certificate := .k4 1 [1, 2, 4, 5, 6] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4627 - mask := 79165397361676 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5139 - mask := 5348342721216534 - certificate := .k4 0 [0, 2, 3, 4, 6] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7187 - mask := 13586944357508118 - certificate := .k4 0 [0, 2, 4, 1, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨19, 589496320, .sharedThree 2 3 0 1 5⟩, + ⟨1043, 2533589665185816, .k4 0 [0, 4, 3, 6] 0 3 4 6⟩, + ⟨3859, 13598923026482176, .k4 1 [1, 2, 4, 5, 6] 1 2 4 6⟩, ], [ - { origin := 20 - mask := 620766464 - certificate := .sharedThree 1 3 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 532 - mask := 12384900655611904 - certificate := .k4 2 [2, 3, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 788 - mask := 13170116890 - certificate := .k4 0 [0, 1, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1044 - mask := 2814749872114688 - certificate := .k4 1 [1, 2, 3, 6] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4116 - mask := 1729401672863580184 - certificate := .k4 0 [0, 3, 7, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4372 - mask := 6958853218688327680 - certificate := .k4 1 [1, 6, 7, 5, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4628 - mask := 79166464814092 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10772 - mask := 6954279246022396958 - certificate := .k4 0 [0, 2, 4, 5, 7, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨20, 620766464, .sharedThree 1 3 0 2 5⟩, + ⟨532, 12384900655611904, .k4 2 [2, 3, 6] 2 3 5 6⟩, + ⟨788, 13170116890, .k4 0 [0, 1, 3, 4] 0 1 3 4⟩, + ⟨4116, 1729401672863580184, .k4 0 [0, 3, 7, 4, 5] 0 3 4 5⟩, + ⟨4372, 6958853218688327680, .k4 1 [1, 6, 7, 5, 4] 1 4 5 6⟩, + ⟨4628, 79166464814092, .k4 0 [0, 2, 3, 1, 5] 1 3 5 6⟩, + ⟨10772, 6954279246022396958, .k4 0 [0, 2, 4, 5, 7, 6, 1] 0 1 2 3⟩ ], [ - { origin := 1301 - mask := 11338611924402176 - certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3861 - mask := 13598941576710144 - certificate := .k4 1 [1, 3, 4, 5, 6] 1 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8725 - mask := 4936508141846675742 - certificate := .k4 0 [0, 1, 3, 6, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10773 - mask := 6954279246105693214 - certificate := .k4 0 [0, 3, 4, 5, 7, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨3861, 13598941576710144, .k4 1 [1, 3, 4, 5, 6] 1 3 4 6⟩, + ⟨10773, 6954279246105693214, .k4 0 [0, 3, 4, 5, 7, 6, 1] 0 1 2 3⟩ ], [ - { origin := 22 - mask := 825294848 - certificate := .sharedThree 2 3 0 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 534 - mask := 12459667443679232 - certificate := .k4 3 [3, 6, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 790 - mask := 13186894106 - certificate := .k4 0 [0, 1, 4, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1046 - mask := 2814750912302080 - certificate := .k4 1 [1, 2, 6, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2070 - mask := 504403179749900310 - certificate := .k4 0 [0, 4, 2, 7] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2326 - mask := 5947003903903006720 - certificate := .k4 3 [3, 6, 7, 4] 1 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2582 - mask := 10995670526990 - certificate := .k4 0 [0, 2, 3, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4630 - mask := 79166498366476 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6934 - mask := 11259000233025802 - certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨22, 825294848, .sharedThree 2 3 0 4 5⟩, + ⟨534, 12459667443679232, .k4 3 [3, 6, 5] 2 3 5 6⟩, + ⟨790, 13186894106, .k4 0 [0, 1, 4, 3] 0 1 3 4⟩, + ⟨1046, 2814750912302080, .k4 1 [1, 2, 6, 3] 1 2 3 6⟩, + ⟨2070, 504403179749900310, .k4 0 [0, 4, 2, 7] 0 1 2 7⟩, + ⟨2326, 5947003903903006720, .k4 3 [3, 6, 7, 4] 1 3 4 7⟩, + ⟨2582, 10995670526990, .k4 0 [0, 2, 3, 5, 1] 0 1 2 3⟩, + ⟨4630, 79166498366476, .k4 0 [0, 2, 3, 1, 5] 1 3 5 6⟩, ], [ - { origin := 23 - mask := 1128464384 - certificate := .sharedThree 2 3 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 535 - mask := 12464063819284480 - certificate := .k4 2 [2, 6, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1303 - mask := 11340363499331584 - certificate := .k4 1 [1, 5, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2071 - mask := 504403720914665494 - certificate := .k4 0 [0, 2, 4, 7] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2583 - mask := 10995687302414 - certificate := .k4 0 [0, 1, 2, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4375 - mask := 6960533539548823552 - certificate := .k4 3 [3, 5, 7, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5655 - mask := 14636977964147732 - certificate := .k4 0 [0, 2, 4, 1, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6423 - mask := 1970364900983070 - certificate := .k4 0 [0, 1, 4, 6, 3] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7703 - mask := 79186873181208 - certificate := .k4 0 [0, 3, 4, 5, 2, 1] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8727 - mask := 4936508180216168734 - certificate := .k4 0 [0, 1, 4, 6, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨23, 1128464384, .sharedThree 2 3 0 1 6⟩, + ⟨535, 12464063819284480, .k4 2 [2, 6, 5] 2 3 5 6⟩, + ⟨2071, 504403720914665494, .k4 0 [0, 2, 4, 7] 0 1 4 7⟩, + ⟨6423, 1970364900983070, .k4 0 [0, 1, 4, 6, 3] 0 2 3 6⟩, + ⟨7703, 79186873181208, .k4 0 [0, 3, 4, 5, 2, 1] 1 2 5 6⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets02 : Array (List HardEntry) := #[ [ - { origin := 16 - code := 7397963681003285790 - certificate := .residual 3918988239981699 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 784 - code := 8693728118512968990 - certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1040 - code := 6136111352343260190 - certificate := .residual 3045388487022112 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1296 - code := 5420526107913907230 - certificate := .residual 257256841594482 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5392 - code := 8369814334206501150 - certificate := .residual 191580323985904 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5648 - code := 3858838770326626590 - certificate := .residual 4091069608319682 - valid := Certificate.valid_of_validB (by decide) } + ⟨16, 7397963681003285790, .residual 3918988239981699⟩, + ⟨784, 8693728118512968990, .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 3 4 5⟩, + ⟨1040, 6136111352343260190, .residual 3045388487022112⟩, + ⟨1296, 5420526107913907230, .residual 257256841594482⟩, + ⟨5392, 8369814334206501150, .residual 191580323985904⟩, + ⟨5648, 3858838770326626590, .residual 4091069608319682⟩ ], [ - { origin := 17 - code := 7688989032892673310 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 7 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 785 - code := 5996980126964409630 - certificate := .residual 712033508203473 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1041 - code := 8184531214588800030 - certificate := .residual 1805483491652404 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1297 - code := 5132295748942064670 - certificate := .residual 3489747765103381 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5393 - code := 3865932820079304990 - certificate := .residual 3361812862682632 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5649 - code := 6428199532346138910 - certificate := .residual 2675518563356242 - valid := Certificate.valid_of_validB (by decide) } + ⟨17, 7688989032892673310, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 7 3⟩, + ⟨785, 5996980126964409630, .residual 712033508203473⟩, + ⟨1041, 8184531214588800030, .residual 1805483491652404⟩, + ⟨1297, 5132295748942064670, .residual 3489747765103381⟩, + ⟨5393, 3865932820079304990, .residual 3361812862682632⟩, + ⟨5649, 6428199532346138910, .residual 2675518563356242⟩ ], [ - { origin := 18 - code := 5445915077183089950 - certificate := .residual 4411689737676928 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 786 - code := 8693858838493881630 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1042 - code := 7175740291220597790 - certificate := .residual 2049895082094273 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1298 - code := 5130613496151567390 - certificate := .residual 3486425606329121 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5394 - code := 3289480863868903710 - certificate := .residual 3361812862682633 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5650 - code := 6141095056101269790 - certificate := .residual 3035311114012359 - valid := Certificate.valid_of_validB (by decide) } + ⟨18, 5445915077183089950, .residual 4411689737676928⟩, + ⟨786, 8693858838493881630, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3⟩, + ⟨1042, 7175740291220597790, .residual 2049895082094273⟩, + ⟨1298, 5130613496151567390, .residual 3486425606329121⟩, + ⟨5394, 3289480863868903710, .residual 3361812862682633⟩, + ⟨5650, 6141095056101269790, .residual 3035311114012359⟩ ], [ - { origin := 19 - code := 7391473148990926110 - certificate := .residual 4411689737676929 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 787 - code := 4154163606945096990 - certificate := .residual 1978746867214544 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1043 - code := 5419468377941437470 - certificate := .residual 1823071514850097 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1299 - code := 6454719482227092510 - certificate := .residual 2983541482437160 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5395 - code := 7793362241094017310 - certificate := .residual 191582203091440 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5651 - code := 6425956528625475870 - certificate := .residual 3363992558602380 - valid := Certificate.valid_of_validB (by decide) } + ⟨19, 7391473148990926110, .residual 4411689737676929⟩, + ⟨787, 4154163606945096990, .residual 1978746867214544⟩, + ⟨1043, 5419468377941437470, .residual 1823071514850097⟩, + ⟨1299, 6454719482227092510, .residual 2983541482437160⟩, + ⟨5395, 7793362241094017310, .residual 191582203091440⟩, + ⟨5651, 6425956528625475870, .residual 3363992558602380⟩ ], [ - { origin := 20 - code := 6464014315383041310 - certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 7, 6] 0 1 2 4 7 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 788 - code := 3726884181390746910 - certificate := .residual 157979233573617 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1044 - code := 8180738470737177630 - certificate := .residual 1839048902310592 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1300 - code := 6024062767859788830 - certificate := .residual 4409479976808714 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5396 - code := 5600390815133917470 - certificate := .residual 4409615268393218 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5652 - code := 5564643099890868510 - certificate := .residual 1620093009165906 - valid := Certificate.valid_of_validB (by decide) } + ⟨20, 6464014315383041310, .hubPentagon 0 [0, 1, 3, 4, 2, 5, 7, 6] 0 1 2 4 7 3⟩, + ⟨788, 3726884181390746910, .residual 157979233573617⟩, + ⟨1044, 8180738470737177630, .residual 1839048902310592⟩, + ⟨1300, 6024062767859788830, .residual 4409479976808714⟩, + ⟨5396, 5600390815133917470, .residual 4409615268393218⟩, + ⟨5652, 5564643099890868510, .residual 1620093009165906⟩ ], [ - { origin := 21 - code := 6168179867137486110 - certificate := .residual 3911289779080211 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 789 - code := 8230765558615860510 - certificate := .residual 1159119080898018 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1045 - code := 6460014971478174750 - certificate := .residual 3487524849550112 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1301 - code := 2852284528975703070 - certificate := .residual 1765399672906577 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5397 - code := 3284769712112328990 - certificate := .residual 4348042613567746 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5653 - code := 6137730550520275230 - certificate := .residual 2042461542408786 - valid := Certificate.valid_of_validB (by decide) } + ⟨21, 6168179867137486110, .residual 3911289779080211⟩, + ⟨789, 8230765558615860510, .residual 1159119080898018⟩, + ⟨1045, 6460014971478174750, .residual 3487524849550112⟩, + ⟨1301, 2852284528975703070, .residual 1765399672906577⟩, + ⟨5397, 3284769712112328990, .residual 4348042613567746⟩, + ⟨5653, 6137730550520275230, .residual 2042461542408786⟩ ], [ - { origin := 22 - code := 5450438317695970590 - certificate := .residual 4403991276775440 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 790 - code := 6460859425737565470 - certificate := .residual 1244713473302322 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1046 - code := 7184465745452559390 - certificate := .residual 3794595216460161 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1302 - code := 3139951938027678750 - certificate := .residual 266035765757554 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5398 - code := 6455296734412857630 - certificate := .residual 4408397645048329 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5654 - code := 6425393587261989150 - certificate := .residual 1442160232545314 - valid := Certificate.valid_of_validB (by decide) } + ⟨22, 5450438317695970590, .residual 4403991276775440⟩, + ⟨790, 6460859425737565470, .residual 1244713473302322⟩, + ⟨1046, 7184465745452559390, .residual 3794595216460161⟩, + ⟨1302, 3139951938027678750, .residual 266035765757554⟩, + ⟨5398, 6455296734412857630, .residual 4408397645048329⟩, + ⟨5654, 6425393587261989150, .residual 1442160232545314⟩ ], [ - { origin := 23 - code := 6170945011122842910 - certificate := .residual 4403991276775441 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 791 - code := 7688024503822214430 - certificate := .residual 3253902820010640 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1047 - code := 7175740154318515230 - certificate := .residual 3795707613169029 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1303 - code := 5996977927222225950 - certificate := .residual 1743538842297953 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5399 - code := 6168192258167988510 - certificate := .residual 4408397645048328 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5655 - code := 6425941135697568030 - certificate := .residual 2488068499035170 - valid := Certificate.valid_of_validB (by decide) } + ⟨23, 6170945011122842910, .residual 4403991276775441⟩, + ⟨791, 7688024503822214430, .residual 3253902820010640⟩, + ⟨1047, 7175740154318515230, .residual 3795707613169029⟩, + ⟨1303, 5996977927222225950, .residual 1743538842297953⟩, + ⟨5399, 6168192258167988510, .residual 4408397645048328⟩, + ⟨5655, 6425941135697568030, .residual 2488068499035170⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData03.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData03.lean index 93c77b0c7..03d9c48ca 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData03.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData03.lean @@ -13,464 +13,123 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets03 : Array (List PatternEntry) := #[ [ - { origin := 24 - mask := 1157645568 - certificate := .sharedThree 1 3 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 280 - mask := 2257224704 - certificate := .k4 1 [1, 2, 3] 1 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1560 - mask := 79165414075392 - certificate := .k4 1 [1, 2, 3, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4376 - mask := 6960542095928983552 - certificate := .k4 3 [3, 6, 7, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5144 - mask := 5629778711809310 - certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10008 - mask := 4945040515000239382 - certificate := .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨24, 1157645568, .sharedThree 1 3 0 2 6⟩, + ⟨1560, 79165414075392, .k4 1 [1, 2, 3, 5] 1 2 5 6⟩, + ⟨10008, 4945040515000239382, .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 2 4⟩ ], [ - { origin := 537 - mask := 13511228386181120 - certificate := .k4 2 [2, 4, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1049 - mask := 2814750946247680 - certificate := .k4 1 [1, 6, 3, 2] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1305 - mask := 11340364036202496 - certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1561 - mask := 79165448152064 - certificate := .k4 1 [1, 2, 3, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2329 - mask := 6091118499518218240 - certificate := .k4 2 [2, 7, 6, 3] 2 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3097 - mask := 3659174819414282 - certificate := .k4 0 [0, 1, 3, 2, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3865 - mask := 13599060463330304 - certificate := .k4 1 [1, 2, 4, 6, 5] 1 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7449 - mask := 4936508141643844622 - certificate := .k4 0 [0, 2, 3, 7, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨1049, 2814750946247680, .k4 1 [1, 6, 3, 2] 1 2 3 6⟩, + ⟨1305, 11340364036202496, .k4 1 [1, 5, 6, 3] 1 3 5 6⟩, + ⟨1561, 79165448152064, .k4 1 [1, 2, 3, 5] 1 2 5 6⟩, + ⟨3865, 13599060463330304, .k4 1 [1, 2, 4, 6, 5] 1 2 4 5⟩, + ⟨7449, 4936508141643844622, .k4 0 [0, 2, 3, 7, 6, 1] 0 1 2 3⟩ ], [ - { origin := 26 - mask := 1364262912 - certificate := .sharedThree 2 3 0 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 282 - mask := 12886147094 - certificate := .k4 0 [0, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 538 - mask := 13511247437758464 - certificate := .k4 3 [3, 4, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2330 - mask := 6091119100602351616 - certificate := .k4 3 [3, 6, 7, 4] 2 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3610 - mask := 10768616884610310 - certificate := .k4 0 [0, 1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4122 - mask := 1734168193745813528 - certificate := .k4 0 [0, 3, 7, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4890 - mask := 152456591843594 - certificate := .k4 0 [0, 1, 3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5146 - mask := 5629778711940126 - certificate := .k4 0 [0, 4, 6, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5914 - mask := 12283607589150 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6682 - mask := 9644928886916374 - certificate := .k4 0 [0, 1, 4, 6, 5, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10522 - mask := 2605543504651354142 - certificate := .k4 0 [0, 3, 4, 6, 5, 7, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨26, 1364262912, .sharedThree 2 3 0 4 6⟩, + ⟨282, 12886147094, .k4 0 [0, 2, 4] 0 1 2 4⟩, + ⟨3610, 10768616884610310, .k4 0 [0, 1, 2, 5, 6] 1 2 5 6⟩, + ⟨4122, 1734168193745813528, .k4 0 [0, 3, 7, 4, 6] 0 3 4 6⟩, + ⟨5146, 5629778711940126, .k4 0 [0, 4, 6, 2, 1] 0 1 2 3⟩, + ⟨5914, 12283607589150, .k4 0 [0, 1, 2, 5, 4] 0 3 4 5⟩, + ⟨10522, 2605543504651354142, .k4 0 [0, 3, 4, 6, 5, 7, 2] 0 1 2 4⟩ ], [ - { origin := 27 - mask := 1627414784 - certificate := .sharedThree 1 3 0 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 283 - mask := 13203669018 - certificate := .k4 0 [0, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1307 - mask := 11342562562408448 - certificate := .k4 2 [2, 5, 3, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2075 - mask := 720575942644237326 - certificate := .k4 0 [0, 3, 7, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3867 - mask := 13599078478784512 - certificate := .k4 1 [1, 3, 4, 6, 5] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6427 - mask := 1970643004834066 - certificate := .k4 0 [0, 1, 6, 2, 3, 4] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6939 - mask := 11330468417053710 - certificate := .k4 0 [0, 2, 3, 1, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7707 - mask := 79204303660306 - certificate := .k4 0 [0, 1, 4, 2, 3, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨27, 1627414784, .sharedThree 1 3 0 5 6⟩, + ⟨283, 13203669018, .k4 0 [0, 3, 4] 0 1 3 4⟩, + ⟨1307, 11342562562408448, .k4 2 [2, 5, 3, 6] 2 3 5 6⟩, + ⟨3867, 13599078478784512, .k4 1 [1, 3, 4, 6, 5] 1 3 4 5⟩, ], [ - { origin := 28 - mask := 1633746944 - certificate := .sharedThree 2 3 0 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 540 - mask := 13603157866184704 - certificate := .k4 2 [2, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 796 - mask := 21760639004 - certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5148 - mask := 5629778812600350 - certificate := .k4 0 [0, 4, 6, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6172 - mask := 83563492630790 - certificate := .k4 0 [0, 1, 2, 3, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7452 - mask := 4938196992561057038 - certificate := .k4 0 [0, 1, 2, 7, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨540, 13603157866184704, .k4 2 [2, 5, 6] 2 4 5 6⟩, + ⟨796, 21760639004, .k4 0 [0, 2, 3, 4] 0 2 3 4⟩, + ⟨6172, 83563492630790, .k4 0 [0, 1, 2, 3, 5] 1 2 5 6⟩, ], [ - { origin := 29 - mask := 1650589696 - certificate := .sharedThree 2 3 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 285 - mask := 21827158044 - certificate := .k4 0 [0, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 541 - mask := 13607557784403968 - certificate := .k4 3 [3, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 797 - mask := 21761622044 - certificate := .k4 0 [0, 3, 4, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1309 - mask := 11342563099279360 - certificate := .k4 2 [2, 5, 6, 3] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2589 - mask := 10995754017038 - certificate := .k4 0 [0, 1, 2, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6429 - mask := 1970651539718430 - certificate := .k4 0 [0, 1, 3, 6, 4] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨29, 1650589696, .sharedThree 2 3 1 5 6⟩, + ⟨285, 21827158044, .k4 0 [0, 3, 4] 0 2 3 4⟩, + ⟨541, 13607557784403968, .k4 3 [3, 5, 6] 3 4 5 6⟩, + ⟨797, 21761622044, .k4 0 [0, 3, 4, 2] 0 2 3 4⟩, + ⟨6429, 1970651539718430, .k4 0 [0, 1, 3, 6, 4] 0 2 4 6⟩ ], [ - { origin := 30 - mask := 1677747200 - certificate := .sharedThree 1 3 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 542 - mask := 13811382168322048 - certificate := .k4 4 [4, 5, 6] 0 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 798 - mask := 21810970652 - certificate := .k4 0 [0, 2, 4, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1310 - mask := 11347271115341824 - certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3102 - mask := 3659175792100366 - certificate := .k4 0 [0, 3, 6, 2, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4382 - mask := 6963854063864643584 - certificate := .k4 2 [2, 6, 7, 5, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4638 - mask := 79205404533010 - certificate := .k4 0 [0, 1, 4, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4894 - mask := 153932192194826 - certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6174 - mask := 83564009971982 - certificate := .k4 0 [0, 1, 2, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨30, 1677747200, .sharedThree 1 3 2 5 6⟩, + ⟨542, 13811382168322048, .k4 4 [4, 5, 6] 0 4 5 6⟩, + ⟨798, 21810970652, .k4 0 [0, 2, 4, 3] 0 2 3 4⟩, + ⟨3102, 3659175792100366, .k4 0 [0, 3, 6, 2, 1] 0 1 2 6⟩, + ⟨4382, 6963854063864643584, .k4 2 [2, 6, 7, 5, 4] 2 4 5 6⟩, + ⟨4638, 79205404533010, .k4 0 [0, 1, 4, 3, 5] 1 3 5 6⟩, ], [ - { origin := 287 - mask := 25771048982 - certificate := .k4 0 [0, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 543 - mask := 13864158726455296 - certificate := .k4 4 [4, 6, 5] 0 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 799 - mask := 21811953692 - certificate := .k4 0 [0, 4, 2, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2335 - mask := 6999582281887145984 - certificate := .k4 1 [1, 5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4895 - mask := 153933803291914 - certificate := .k4 0 [0, 1, 3, 2, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6175 - mask := 83564010038538 - certificate := .k4 0 [0, 1, 3, 2, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7455 - mask := 4940449091881600278 - certificate := .k4 0 [0, 1, 2, 7, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨287, 25771048982, .k4 0 [0, 2, 4] 0 1 2 4⟩, + ⟨543, 13864158726455296, .k4 4 [4, 6, 5] 0 4 5 6⟩, + ⟨799, 21811953692, .k4 0 [0, 4, 2, 3] 0 2 3 4⟩, + ⟨2335, 6999582281887145984, .k4 1 [1, 5, 6, 7] 0 5 6 7⟩, + ⟨6175, 83564010038538, .k4 0 [0, 1, 3, 2, 5] 1 3 5 6⟩, + ⟨7455, 4940449091881600278, .k4 0 [0, 1, 2, 7, 6, 4] 0 1 2 4⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets03 : Array (List HardEntry) := #[ [ - { origin := 24 - code := 7184589160277617950 - certificate := .residual 226406619532019 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 792 - code := 5420528452980860190 - certificate := .residual 711896337513425 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1048 - code := 8189394926319528990 - certificate := .residual 3331710506259856 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1304 - code := 2853403831846333470 - certificate := .residual 2923477778371361 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5400 - code := 4148893111707951390 - certificate := .residual 349875201253872 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5656 - code := 3290606744473493790 - certificate := .residual 1023692327717808 - valid := Certificate.valid_of_validB (by decide) } + ⟨24, 7184589160277617950, .residual 226406619532019⟩, + ⟨792, 5420528452980860190, .residual 711896337513425⟩, + ⟨1048, 8189394926319528990, .residual 3331710506259856⟩, + ⟨1304, 2853403831846333470, .residual 2923477778371361⟩, + ⟨5400, 4148893111707951390, .residual 349875201253872⟩, + ⟨5656, 3290606744473493790, .residual 1023692327717808⟩ ], [ - { origin := 25 - code := 7180660618116476190 - certificate := .residual 3793888694448390 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 793 - code := 8693719202631148830 - certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1049 - code := 7175177204398648350 - certificate := .residual 1877999719610674 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1305 - code := 2851721579055836190 - certificate := .residual 2927897312299797 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5401 - code := 5995936581807694110 - certificate := .residual 342176711443952 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5657 - code := 3869310384852230430 - certificate := .residual 1015995746266032 - valid := Certificate.valid_of_validB (by decide) } + ⟨25, 7180660618116476190, .residual 3793888694448390⟩, + ⟨793, 8693719202631148830, .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 3 5⟩, + ⟨1049, 7175177204398648350, .residual 1877999719610674⟩, + ⟨1305, 2851721579055836190, .residual 2927897312299797⟩, + ⟨5401, 5995936581807694110, .residual 342176711443952⟩, + ⟨5657, 3869310384852230430, .residual 1015995746266032⟩ ], [ - { origin := 26 - code := 6031663275072564510 - certificate := .residual 779463114410963 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 794 - code := 7688081784408925470 - certificate := .residual 4348042613567745 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1050 - code := 3713035248555617310 - certificate := .residual 1343842705006033 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1306 - code := 4153888184988625950 - certificate := .residual 3546491193113128 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5402 - code := 5564712493871980830 - certificate := .residual 3794715475545346 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5658 - code := 3284062743641514270 - certificate := .residual 1871244612204578 - valid := Certificate.valid_of_validB (by decide) } + ⟨26, 6031663275072564510, .residual 779463114410963⟩, + ⟨794, 7688081784408925470, .residual 4348042613567745⟩, + ⟨1050, 3713035248555617310, .residual 1343842705006033⟩, + ⟨1306, 4153888184988625950, .residual 3546491193113128⟩, + ⟨5402, 5564712493871980830, .residual 3794715475545346⟩, + ⟨5658, 3284062743641514270, .residual 1871244612204578⟩ ], [ - { origin := 27 - code := 6022943160021822750 - certificate := .residual 3723640476413990 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 795 - code := 5455140781798483230 - certificate := .residual 595511780550626 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1051 - code := 6454735958723619870 - certificate := .residual 3917740551801216 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1307 - code := 3721549217830824990 - certificate := .residual 4347907321983242 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5403 - code := 3862203671239123230 - certificate := .residual 4231802802030274 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5659 - code := 5419393472641163550 - certificate := .residual 2425263122528290 - valid := Certificate.valid_of_validB (by decide) } + ⟨27, 6022943160021822750, .residual 3723640476413990⟩, + ⟨795, 5455140781798483230, .residual 595511780550626⟩, + ⟨1051, 6454735958723619870, .residual 3917740551801216⟩, + ⟨1307, 3721549217830824990, .residual 4347907321983242⟩, + ⟨5403, 3862203671239123230, .residual 4231802802030274⟩, + ⟨5659, 5419393472641163550, .residual 2425263122528290⟩ ], [ - { origin := 28 - code := 6019002510582754590 - certificate := .residual 3918988239981696 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 796 - code := 5454296369753253150 - certificate := .residual 4349155010119813 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1052 - code := 5419400209260702750 - certificate := .residual 3489764676551445 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5404 - code := 4147065143763329310 - certificate := .residual 3527997568727746 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5660 - code := 7650865515905736990 - certificate := .residual 1094060979620784 - valid := Certificate.valid_of_validB (by decide) } + ⟨28, 6019002510582754590, .residual 3918988239981696⟩, + ⟨796, 5454296369753253150, .residual 4349155010119813⟩, + ⟨1052, 5419400209260702750, .residual 3489764676551445⟩, + ⟨5404, 4147065143763329310, .residual 3527997568727746⟩, + ⟨5660, 7650865515905736990, .residual 1094060979620784⟩ ], [ - { origin := 29 - code := 7171934894358539550 - certificate := .residual 3911289779080208 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 797 - code := 3147054906303079710 - certificate := .residual 112070295373681 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1053 - code := 5418839458330536990 - certificate := .residual 3487524849550113 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5405 - code := 3285751715028721950 - certificate := .residual 4038065412876101 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5661 - code := 5993610964398301470 - certificate := .residual 1871109262014498 - valid := Certificate.valid_of_validB (by decide) } + ⟨29, 7171934894358539550, .residual 3911289779080208⟩, + ⟨797, 3147054906303079710, .residual 112070295373681⟩, + ⟨1053, 5418839458330536990, .residual 3487524849550113⟩, + ⟨5405, 3285751715028721950, .residual 4038065412876101⟩, + ⟨5661, 5993610964398301470, .residual 1871109262014498⟩ ], [ - { origin := 30 - code := 5442550541537783070 - certificate := .residual 4411689737676937 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 798 - code := 6029358286390191390 - certificate := .residual 604170434734050 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1054 - code := 3713030747899653150 - certificate := .residual 1171932374908513 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5406 - code := 3858839165658128670 - certificate := .residual 2315224306631269 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5662 - code := 8229569156284473630 - certificate := .residual 1086364398169008 - valid := Certificate.valid_of_validB (by decide) } + ⟨30, 5442550541537783070, .residual 4411689737676937⟩, + ⟨798, 6029358286390191390, .residual 604170434734050⟩, + ⟨1054, 3713030747899653150, .residual 1171932374908513⟩, + ⟨5406, 3858839165658128670, .residual 2315224306631269⟩, + ⟨5662, 8229569156284473630, .residual 1086364398169008⟩ ], [ - { origin := 31 - code := 5155446065292913950 - certificate := .residual 4411689737676936 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 799 - code := 8262299143542170910 - certificate := .residual 4347907321983233 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1055 - code := 5131169850288860190 - certificate := .residual 186890244864626 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5407 - code := 3284630213168390430 - certificate := .residual 3035658830072514 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5663 - code := 3858262609255522590 - certificate := .residual 2425398472718370 - valid := Certificate.valid_of_validB (by decide) } + ⟨31, 5155446065292913950, .residual 4411689737676936⟩, + ⟨799, 8262299143542170910, .residual 4347907321983233⟩, + ⟨1055, 5131169850288860190, .residual 186890244864626⟩, + ⟨5407, 3284630213168390430, .residual 3035658830072514⟩, + ⟨5663, 3858262609255522590, .residual 2425398472718370⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData04.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData04.lean index 3765f1865..67cb82220 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData04.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData04.lean @@ -13,420 +13,119 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets04 : Array (List PatternEntry) := #[ [ - { origin := 32 - mask := 1886388224 - certificate := .sharedThree 2 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 288 - mask := 30064772374 - certificate := .k4 0 [0, 1, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 544 - mask := 13881476034592768 - certificate := .k4 4 [4, 5, 6] 0 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1056 - mask := 2887318104991744 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1312 - mask := 11347407480553472 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1568 - mask := 81364984553738 - certificate := .k4 0 [0, 1, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2080 - mask := 792633536590053390 - certificate := .k4 0 [0, 2, 3, 7] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3360 - mask := 9644916003266822 - certificate := .k4 0 [0, 1, 2, 6, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6176 - mask := 83564077539594 - certificate := .k4 0 [0, 1, 3, 2, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨32, 1886388224, .sharedThree 2 3 4 5 6⟩, + ⟨288, 30064772374, .k4 0 [0, 1, 4] 0 1 2 4⟩, + ⟨1056, 2887318104991744, .k4 1 [1, 3, 5, 6] 1 3 5 6⟩, + ⟨1568, 81364984553738, .k4 0 [0, 1, 3, 5] 1 3 5 6⟩, + ⟨6176, 83564077539594, .k4 0 [0, 1, 3, 2, 5] 1 3 5 6⟩ ], [ - { origin := 33 - mask := 2206400512 - certificate := .sharedThree 2 3 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 545 - mask := 13881613473546240 - certificate := .k4 4 [4, 6, 5] 0 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1057 - mask := 2887319145179136 - certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4385 - mask := 6964984363154931712 - certificate := .k4 3 [3, 6, 7, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨33, 2206400512, .sharedThree 2 3 0 1 7⟩, + ⟨1057, 2887319145179136, .k4 1 [1, 5, 6, 3] 1 3 5 6⟩, + ⟨4385, 6964984363154931712, .k4 3 [3, 6, 7, 5, 4] 3 4 5 6⟩ ], [ - { origin := 290 - mask := 30064967702 - certificate := .k4 0 [0, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 802 - mask := 25770919190 - certificate := .k4 0 [0, 1, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1058 - mask := 2887319178717184 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1826 - mask := 9662671393678336 - certificate := .k4 1 [1, 6, 5, 4] 1 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4130 - mask := 1801440407222485020 - certificate := .k4 0 [0, 4, 7, 3, 2] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4386 - mask := 6967229435707678720 - certificate := .k4 1 [1, 5, 7, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5410 - mask := 11259000696040460 - certificate := .k4 0 [0, 2, 3, 1, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10786 - mask := 6958204639972502558 - certificate := .k4 0 [0, 2, 4, 6, 7, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨290, 30064967702, .k4 0 [0, 2, 4] 0 1 2 4⟩, + ⟨802, 25770919190, .k4 0 [0, 1, 2, 4] 0 1 2 4⟩, + ⟨1826, 9662671393678336, .k4 1 [1, 6, 5, 4] 1 2 4 5⟩, + ⟨4386, 6967229435707678720, .k4 1 [1, 5, 7, 6, 4] 1 4 5 6⟩, + ⟨5410, 11259000696040460, .k4 0 [0, 2, 3, 1, 6] 1 3 5 6⟩, + ⟨10786, 6958204639972502558, .k4 0 [0, 2, 4, 6, 7, 5, 1] 0 1 2 3⟩ ], [ - { origin := 291 - mask := 30065950742 - certificate := .k4 0 [0, 4, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2083 - mask := 792633575521386522 - certificate := .k4 0 [0, 4, 3, 7] 0 1 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2339 - mask := 7026533510907191296 - certificate := .k4 1 [1, 5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7459 - mask := 4946078290770354438 - certificate := .k4 0 [0, 1, 2, 7, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10787 - mask := 6958204640055798814 - certificate := .k4 0 [0, 3, 4, 6, 7, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨291, 30065950742, .k4 0 [0, 4, 2] 0 1 2 4⟩, + ⟨2083, 792633575521386522, .k4 0 [0, 4, 3, 7] 0 1 3 7⟩, + ⟨2339, 7026533510907191296, .k4 1 [1, 5, 6, 7] 0 5 6 7⟩, + ⟨10787, 6958204640055798814, .k4 0 [0, 3, 4, 6, 7, 5, 1] 0 1 2 3⟩ ], [ - { origin := 36 - mask := 2442199040 - certificate := .sharedThree 2 3 0 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 804 - mask := 25770984726 - certificate := .k4 0 [0, 1, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1060 - mask := 2893915174758400 - certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1316 - mask := 11356169213837312 - certificate := .k4 3 [3, 5, 4, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1828 - mask := 9667086620059648 - certificate := .k4 1 [1, 6, 5, 4] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2084 - mask := 792634099222183962 - certificate := .k4 0 [0, 3, 4, 7] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4132 - mask := 1801440420124688396 - certificate := .k4 0 [0, 3, 7, 4, 2] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5668 - mask := 14990741534220566 - certificate := .k4 0 [0, 1, 2, 5, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7460 - mask := 5224738519868066830 - certificate := .k4 0 [0, 2, 3, 7, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8228 - mask := 10205705589498142 - certificate := .k4 0 [0, 1, 4, 5, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨36, 2442199040, .sharedThree 2 3 0 4 7⟩, + ⟨804, 25770984726, .k4 0 [0, 1, 2, 4] 0 1 2 4⟩, + ⟨1060, 2893915174758400, .k4 1 [1, 3, 6, 5] 1 3 5 6⟩, + ⟨1316, 11356169213837312, .k4 3 [3, 5, 4, 6] 3 4 5 6⟩, + ⟨1828, 9667086620059648, .k4 1 [1, 6, 5, 4] 1 3 4 5⟩, + ⟨2084, 792634099222183962, .k4 0 [0, 3, 4, 7] 0 1 4 7⟩, + ⟨4132, 1801440420124688396, .k4 0 [0, 3, 7, 4, 2] 0 2 3 7⟩, + ⟨7460, 5224738519868066830, .k4 0 [0, 2, 3, 7, 6, 1] 0 1 2 3⟩, ], [ - { origin := 37 - mask := 2701172992 - certificate := .sharedThree 1 3 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 293 - mask := 38656344092 - certificate := .k4 0 [0, 2, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 549 - mask := 14074169742352384 - certificate := .k4 1 [1, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1317 - mask := 11356169750708224 - certificate := .k4 3 [3, 6, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2085 - mask := 864691130645282830 - certificate := .k4 0 [0, 2, 7, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5669 - mask := 14990763007942934 - certificate := .k4 0 [0, 1, 4, 5, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8741 - mask := 4945032655210096910 - certificate := .k4 0 [0, 1, 2, 7, 6, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨37, 2701172992, .sharedThree 1 3 0 5 7⟩, + ⟨293, 38656344092, .k4 0 [0, 2, 4] 0 2 3 4⟩, + ⟨549, 14074169742352384, .k4 1 [1, 6, 4] 1 4 5 6⟩, + ⟨1317, 11356169750708224, .k4 3 [3, 6, 5, 4] 3 4 5 6⟩, + ⟨8741, 4945032655210096910, .k4 0 [0, 1, 2, 7, 6, 5] 0 1 3 5⟩ ], [ - { origin := 38 - mask := 2711683072 - certificate := .sharedThree 2 3 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1574 - mask := 83563492566016 - certificate := .k4 1 [1, 2, 3, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2086 - mask := 864691130661994510 - certificate := .k4 0 [0, 3, 7, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5926 - mask := 13220466132254 - certificate := .k4 0 [0, 1, 3, 5, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7462 - mask := 5225301469825600782 - certificate := .k4 0 [0, 1, 3, 7, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨38, 2711683072, .sharedThree 2 3 0 5 7⟩, + ⟨1574, 83563492566016, .k4 1 [1, 2, 3, 5] 1 2 5 6⟩, + ⟨2086, 864691130661994510, .k4 0 [0, 3, 7, 2] 0 1 2 3⟩, ], [ - { origin := 39 - mask := 2728525824 - certificate := .sharedThree 2 3 1 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 295 - mask := 43268440090 - certificate := .k4 0 [0, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1063 - mask := 2893916248498176 - certificate := .k4 1 [1, 6, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1319 - mask := 11894518399903744 - certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2087 - mask := 864691130711867406 - certificate := .k4 0 [0, 2, 7, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4135 - mask := 2450101136024808448 - certificate := .k4 1 [1, 2, 5, 3, 7] 1 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6439 - mask := 2814751177590046 - certificate := .k4 0 [0, 1, 2, 6, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨39, 2728525824, .sharedThree 2 3 1 5 7⟩, + ⟨295, 43268440090, .k4 0 [0, 3, 4] 0 1 3 4⟩, + ⟨1063, 2893916248498176, .k4 1 [1, 6, 3, 5] 1 3 5 6⟩, + ⟨2087, 864691130711867406, .k4 0 [0, 2, 7, 3] 0 1 2 3⟩, + ⟨4135, 2450101136024808448, .k4 1 [1, 2, 5, 3, 7] 1 2 3 7⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets04 : Array (List HardEntry) := #[ [ - { origin := 32 - code := 5442549446321122590 - certificate := .residual 3124966165754280 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 800 - code := 6028513861510391070 - certificate := .residual 4350117082851461 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1056 - code := 5157704203357547550 - certificate := .residual 712285307943888 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5408 - code := 6141095451432771870 - certificate := .residual 2042187201179218 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5664 - code := 6164798601768330270 - certificate := .residual 2923892976750376 - valid := Certificate.valid_of_validB (by decide) } + ⟨32, 5442549446321122590, .residual 3124966165754280⟩, + ⟨800, 6028513861510391070, .residual 4350117082851461⟩, + ⟨1056, 5157704203357547550, .residual 712285307943888⟩, + ⟨5408, 6141095451432771870, .residual 2042187201179218⟩, + ⟨5664, 6164798601768330270, .residual 2923892976750376⟩ ], [ - { origin := 33 - code := 5155444970076253470 - certificate := .residual 4411689737676938 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 801 - code := 7680136727664026910 - certificate := .residual 4189975189770272 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1057 - code := 6163132537773911070 - certificate := .residual 1203904415154000 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5409 - code := 6425956923956977950 - certificate := .residual 2745992379589202 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5665 - code := 5590589649278592030 - certificate := .residual 4408547969025546 - valid := Certificate.valid_of_validB (by decide) } + ⟨33, 5155444970076253470, .residual 4411689737676938⟩, + ⟨801, 7680136727664026910, .residual 4189975189770272⟩, + ⟨1057, 6163132537773911070, .residual 1203904415154000⟩, + ⟨5409, 6425956923956977950, .residual 2745992379589202⟩, + ⟨5665, 5590589649278592030, .residual 4408547969025546⟩ ], [ - { origin := 34 - code := 7180591349940890910 - certificate := .residual 1988155130967488 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 802 - code := 8254336871360390430 - certificate := .residual 4251547840983072 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1058 - code := 6166509980601707550 - certificate := .residual 4410442049490185 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5410 - code := 5564643495222370590 - certificate := .residual 4411689737676940 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5666 - code := 6164798327964165150 - certificate := .residual 3915966730421770 - valid := Certificate.valid_of_validB (by decide) } + ⟨34, 7180591349940890910, .residual 1988155130967488⟩, + ⟨802, 8254336871360390430, .residual 4251547840983072⟩, + ⟨1058, 6166509980601707550, .residual 4410442049490185⟩, + ⟨5410, 5564643495222370590, .residual 4411689737676940⟩, + ⟨5666, 6164798327964165150, .residual 3915966730421770⟩ ], [ - { origin := 35 - code := 5451206997120134430 - certificate := .residual 138098946286448 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 803 - code := 3725758281434031390 - certificate := .residual 103291382048625 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1059 - code := 6022957742479272990 - certificate := .residual 4410442049490184 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5411 - code := 6137730945851777310 - certificate := .residual 4231425101817543 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5667 - code := 5590589375474426910 - certificate := .residual 2923891068342056 - valid := Certificate.valid_of_validB (by decide) } + ⟨35, 5451206997120134430, .residual 138098946286448⟩, + ⟨803, 3725758281434031390, .residual 103291382048625⟩, + ⟨1059, 6022957742479272990, .residual 4410442049490184⟩, + ⟨5411, 6137730945851777310, .residual 4231425101817543⟩, + ⟨5667, 5590589375474426910, .residual 2923891068342056⟩ ], [ - { origin := 36 - code := 6022942894774037790 - certificate := .residual 2059468769785392 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 804 - code := 6455296725831148830 - certificate := .residual 4409479976808704 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1060 - code := 3862349361617464350 - certificate := .residual 350147663258736 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5412 - code := 5563521993362039070 - certificate := .residual 1549893534162514 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5668 - code := 3865088805855421470 - certificate := .residual 3486842687426344 - valid := Certificate.valid_of_validB (by decide) } + ⟨36, 6022942894774037790, .residual 2059468769785392⟩, + ⟨804, 6455296725831148830, .residual 4409479976808704⟩, + ⟨1060, 3862349361617464350, .residual 350147663258736⟩, + ⟨5412, 5563521993362039070, .residual 1549893534162514⟩, + ⟨5668, 3865088805855421470, .residual 3486842687426344⟩ ], [ - { origin := 37 - code := 5446490925729066270 - certificate := .residual 629718082397152 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 805 - code := 6425393974011782430 - certificate := .residual 4251412542173217 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1061 - code := 6427714773259545630 - certificate := .residual 342449173455088 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5413 - code := 5132297956764606750 - certificate := .residual 1994254564389922 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5669 - code := 3288636849645020190 - certificate := .residual 4346975314200074 - valid := Certificate.valid_of_validB (by decide) } + ⟨37, 5446490925729066270, .residual 629718082397152⟩, + ⟨805, 6425393974011782430, .residual 4251412542173217⟩, + ⟨1061, 6427714773259545630, .residual 342449173455088⟩, + ⟨5413, 5132297956764606750, .residual 1994254564389922⟩, + ⟨5669, 3288636849645020190, .residual 4346975314200074⟩ ], [ - { origin := 38 - code := 8410695253242359070 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 7, 6] 0 1 3 5 6 7 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 806 - code := 5420528307154740510 - certificate := .residual 4255832076101653 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1062 - code := 6166493488178949150 - certificate := .residual 3045114133599784 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5414 - code := 6453044909064249630 - certificate := .residual 936850218047408 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5670 - code := 3865088395149173790 - certificate := .residual 3361812862682634 - valid := Certificate.valid_of_validB (by decide) } + ⟨38, 8410695253242359070, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 7, 6] 0 1 3 5 6 7 4⟩, + ⟨806, 5420528307154740510, .residual 4255832076101653⟩, + ⟨1062, 6166493488178949150, .residual 3045114133599784⟩, + ⟨5414, 6453044909064249630, .residual 936850218047408⟩, + ⟨5670, 3865088395149173790, .residual 3361812862682634⟩ ], [ - { origin := 39 - code := 8410690872375717150 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 2 0 1 5 7 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 807 - code := 3714161027670631710 - certificate := .residual 621177753307105 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1063 - code := 6022941250056514590 - certificate := .residual 4410442049490186 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5415 - code := 5564641296232669470 - certificate := .residual 1379760778107938 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5671 - code := 3288636438938772510 - certificate := .residual 3486838896299816 - valid := Certificate.valid_of_validB (by decide) } + ⟨39, 8410690872375717150, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 2 0 1 5 7 4⟩, + ⟨807, 3714161027670631710, .residual 621177753307105⟩, + ⟨1063, 6022941250056514590, .residual 4410442049490186⟩, + ⟨5415, 5564641296232669470, .residual 1379760778107938⟩, + ⟨5671, 3288636438938772510, .residual 3486838896299816⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData05.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData05.lean index 0968b43df..49f259d62 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData05.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData05.lean @@ -13,456 +13,126 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets05 : Array (List PatternEntry) := #[ [ - { origin := 40 - mask := 2751505408 - certificate := .sharedThree 1 3 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 296 - mask := 47244642586 - certificate := .k4 0 [0, 1, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 552 - mask := 14636853415116800 - certificate := .k4 2 [2, 4, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 808 - mask := 38739705884 - certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1064 - mask := 3096224794165514 - certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4136 - mask := 2450101136058231808 - certificate := .k4 1 [1, 3, 5, 2, 7] 1 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7720 - mask := 88102720924696 - certificate := .k4 0 [0, 3, 4, 1, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10024 - mask := 5228679453010429214 - certificate := .k4 0 [0, 1, 3, 2, 7, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨40, 2751505408, .sharedThree 1 3 2 5 7⟩, + ⟨296, 47244642586, .k4 0 [0, 1, 4] 0 1 3 4⟩, + ⟨552, 14636853415116800, .k4 2 [2, 4, 6] 2 4 5 6⟩, + ⟨808, 38739705884, .k4 0 [0, 2, 3, 4] 0 2 3 4⟩, + ⟨1064, 3096224794165514, .k4 0 [0, 1, 3, 6] 0 1 3 6⟩, + ⟨4136, 2450101136058231808, .k4 1 [1, 3, 5, 2, 7] 1 2 3 7⟩, + ⟨7720, 88102720924696, .k4 0 [0, 3, 4, 1, 5, 2] 1 2 5 6⟩, + ⟨10024, 5228679453010429214, .k4 0 [0, 1, 3, 2, 7, 6, 4] 0 1 2 4⟩ ], [ - { origin := 553 - mask := 14637111113154560 - certificate := .k4 2 [2, 6, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 809 - mask := 38740164636 - certificate := .k4 0 [0, 3, 4, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1065 - mask := 3096224794167306 - certificate := .k4 0 [0, 3, 1, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1321 - mask := 11901114429497344 - certificate := .k4 1 [1, 6, 5, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2089 - mask := 864691130881081372 - certificate := .k4 0 [0, 2, 7, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2345 - mask := 12936350750 - certificate := .k4 0 [0, 2, 3, 4, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6697 - mask := 9646015560838158 - certificate := .k4 0 [0, 3, 1, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8745 - mask := 5224738520187355422 - certificate := .k4 0 [0, 1, 2, 6, 7, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨809, 38740164636, .k4 0 [0, 3, 4, 2] 0 2 3 4⟩, + ⟨1321, 11901114429497344, .k4 1 [1, 6, 5, 3] 1 3 5 6⟩, + ⟨2089, 864691130881081372, .k4 0 [0, 2, 7, 3] 0 2 3 4⟩, + ⟨2345, 12936350750, .k4 0 [0, 2, 3, 4, 1] 0 1 2 4⟩, + ⟨6697, 9646015560838158, .k4 0 [0, 3, 1, 6, 5] 0 1 2 5⟩, + ⟨8745, 5224738520187355422, .k4 0 [0, 1, 2, 6, 7, 3] 0 2 3 4⟩ ], [ - { origin := 42 - mask := 2964324352 - certificate := .sharedThree 2 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 298 - mask := 47294971930 - certificate := .k4 0 [0, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 554 - mask := 14637128288829440 - certificate := .k4 2 [2, 4, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1066 - mask := 3096225834338570 - certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1322 - mask := 11901114966353920 - certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2090 - mask := 864691130897793052 - certificate := .k4 0 [0, 3, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2346 - mask := 12936416286 - certificate := .k4 0 [0, 3, 4, 1, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2858 - mask := 27659925520412 - certificate := .k4 0 [0, 2, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨42, 2964324352, .sharedThree 2 3 4 5 7⟩, + ⟨298, 47294971930, .k4 0 [0, 3, 4] 0 1 3 4⟩, + ⟨554, 14637128288829440, .k4 2 [2, 4, 6] 2 4 5 6⟩, + ⟨1066, 3096225834338570, .k4 0 [0, 1, 3, 6] 0 1 3 6⟩, + ⟨1322, 11901114966353920, .k4 1 [1, 3, 6, 5] 1 3 5 6⟩, + ⟨2346, 12936416286, .k4 0 [0, 3, 4, 1, 2] 0 1 2 4⟩, + ⟨2858, 27659925520412, .k4 0 [0, 2, 3, 4, 5] 0 3 4 5⟩ ], [ - { origin := 43 - mask := 3238052096 - certificate := .sharedThree 1 3 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 299 - mask := 47546630170 - certificate := .k4 0 [0, 4, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1067 - mask := 3096225834354698 - certificate := .k4 0 [0, 3, 6, 1] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1323 - mask := 11901114966368256 - certificate := .k4 1 [1, 6, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1835 - mask := 10204567423886592 - certificate := .k4 1 [1, 2, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3115 - mask := 4785353781298454 - certificate := .k4 0 [0, 1, 4, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6955 - mask := 11331567976917262 - certificate := .k4 0 [0, 1, 2, 5, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨43, 3238052096, .sharedThree 1 3 0 6 7⟩, + ⟨299, 47546630170, .k4 0 [0, 4, 3] 0 1 3 4⟩, + ⟨1067, 3096225834354698, .k4 0 [0, 3, 6, 1] 0 1 3 6⟩, + ⟨1323, 11901114966368256, .k4 1 [1, 6, 3, 5] 1 3 5 6⟩, ], [ - { origin := 44 - mask := 3250651136 - certificate := .sharedThree 2 3 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 300 - mask := 51541245980 - certificate := .k4 0 [0, 2, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 556 - mask := 14711895076372480 - certificate := .k4 4 [4, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 812 - mask := 38991364124 - certificate := .k4 0 [0, 2, 4, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1068 - mask := 3096225851115786 - certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1324 - mask := 12459666374656000 - certificate := .k4 2 [2, 3, 6, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1580 - mask := 83992990187520 - certificate := .k4 2 [2, 3, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2092 - mask := 864691130964377628 - certificate := .k4 0 [0, 3, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2860 - mask := 844424984742926 - certificate := .k4 0 [0, 2, 3, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5932 - mask := 13220751409182 - certificate := .k4 0 [0, 2, 4, 5, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨44, 3250651136, .sharedThree 2 3 0 6 7⟩, + ⟨300, 51541245980, .k4 0 [0, 2, 4] 0 2 3 4⟩, + ⟨556, 14711895076372480, .k4 4 [4, 6, 5] 2 4 5 6⟩, + ⟨812, 38991364124, .k4 0 [0, 2, 4, 3] 0 2 3 4⟩, + ⟨1068, 3096225851115786, .k4 0 [0, 1, 3, 6] 0 1 3 6⟩, ], [ - { origin := 45 - mask := 3267493888 - certificate := .sharedThree 2 3 1 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 301 - mask := 51891929116 - certificate := .k4 0 [0, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 557 - mask := 14724659726516224 - certificate := .k4 2 [2, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 813 - mask := 38991822876 - certificate := .k4 0 [0, 4, 3, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1069 - mask := 3096225851130122 - certificate := .k4 0 [0, 1, 6, 3] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3629 - mask := 11330468951632138 - certificate := .k4 0 [0, 1, 3, 6, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3885 - mask := 13603437037027348 - certificate := .k4 0 [0, 2, 4, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4397 - mask := 7211547920209805312 - certificate := .k4 2 [2, 6, 7, 5, 4] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨45, 3267493888, .sharedThree 2 3 1 6 7⟩, + ⟨301, 51891929116, .k4 0 [0, 3, 4] 0 2 3 4⟩, + ⟨557, 14724659726516224, .k4 2 [2, 6, 5] 2 4 5 6⟩, + ⟨813, 38991822876, .k4 0 [0, 4, 3, 2] 0 2 3 4⟩, + ⟨1069, 3096225851130122, .k4 0 [0, 1, 6, 3] 0 1 3 6⟩, + ⟨4397, 7211547920209805312, .k4 2 [2, 6, 7, 5, 4] 2 4 6 7⟩ ], [ - { origin := 46 - mask := 3288384512 - certificate := .sharedThree 1 3 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 302 - mask := 55835164700 - certificate := .k4 0 [0, 2, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 558 - mask := 15762772373536768 - certificate := .k4 3 [3, 4, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1326 - mask := 12459667381288960 - certificate := .k4 2 [2, 6, 3, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2862 - mask := 844425018884366 - certificate := .k4 0 [0, 1, 3, 6, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7726 - mask := 88133020574986 - certificate := .k4 0 [0, 1, 3, 2, 4, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10030 - mask := 5233255336936811534 - certificate := .k4 0 [0, 2, 3, 7, 6, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨46, 3288384512, .sharedThree 1 3 2 6 7⟩, + ⟨302, 55835164700, .k4 0 [0, 2, 4] 0 2 3 4⟩, + ⟨558, 15762772373536768, .k4 3 [3, 4, 6] 3 4 5 6⟩, + ⟨1326, 12459667381288960, .k4 2 [2, 6, 3, 5] 2 3 5 6⟩, + ⟨2862, 844425018884366, .k4 0 [0, 1, 3, 6, 2] 0 1 2 6⟩, + ⟨10030, 5233255336936811534, .k4 0 [0, 2, 3, 7, 6, 5, 1] 0 1 2 3⟩ ], [ - { origin := 303 - mask := 55836147740 - certificate := .k4 0 [0, 4, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 559 - mask := 15763012891705344 - certificate := .k4 3 [3, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2095 - mask := 936748743977861148 - certificate := .k4 0 [0, 4, 2, 7] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2863 - mask := 844425018885134 - certificate := .k4 0 [0, 3, 2, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4399 - mask := 7244053197997211648 - certificate := .k4 2 [2, 5, 7, 6, 3] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5679 - mask := 15762892398945280 - certificate := .k4 1 [1, 2, 4, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7727 - mask := 88133020640268 - certificate := .k4 0 [0, 2, 3, 1, 4, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8751 - mask := 5225301482995253278 - certificate := .k4 0 [0, 2, 4, 6, 7, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨303, 55836147740, .k4 0 [0, 4, 2] 0 2 3 4⟩, + ⟨2095, 936748743977861148, .k4 0 [0, 4, 2, 7] 0 2 3 7⟩, + ⟨2863, 844425018885134, .k4 0 [0, 3, 2, 1, 6] 0 1 2 6⟩, + ⟨8751, 5225301482995253278, .k4 0 [0, 2, 4, 6, 7, 3] 0 1 3 4⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets05 : Array (List HardEntry) := #[ [ - { origin := 40 - code := 8697794253403925790 - certificate := .residual 3919108499073158 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 808 - code := 5420526108165039390 - certificate := .residual 128355992864626 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1064 - code := 6452484415601863710 - certificate := .residual 1766852221134672 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5416 - code := 6463953189995208990 - certificate := .residual 348792862155248 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5672 - code := 6176849385392563230 - certificate := .residual 4403716935715220 - valid := Certificate.valid_of_validB (by decide) } + ⟨40, 8697794253403925790, .residual 3919108499073158⟩, + ⟨808, 5420526108165039390, .residual 128355992864626⟩, + ⟨1064, 6452484415601863710, .residual 1766852221134672⟩, + ⟨5416, 6463953189995208990, .residual 348792862155248⟩, + ⟨5672, 6176849385392563230, .residual 4403716935715220⟩ ], [ - { origin := 41 - code := 7401888936946248990 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 1 0 2 7 5 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 809 - code := 4157549558708593950 - certificate := .residual 4347907321983232 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1065 - code := 6461191191255936030 - certificate := .residual 2396827539183955 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5417 - code := 4157549567290302750 - certificate := .residual 4346824990222857 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5673 - code := 5157704223821521950 - certificate := .residual 4377740973378195 - valid := Certificate.valid_of_validB (by decide) } + ⟨41, 7401888936946248990, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 1 0 2 7 5 3⟩, + ⟨809, 4157549558708593950, .residual 4347907321983232⟩, + ⟨1065, 6461191191255936030, .residual 2396827539183955⟩, + ⟨5417, 4157549567290302750, .residual 4346824990222857⟩, + ⟨5673, 5157704223821521950, .residual 4377740973378195⟩ ], [ - { origin := 42 - code := 7685063775813315870 - certificate := .residual 3919108499073155 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 810 - code := 4149305811566880030 - certificate := .residual 4251547840983073 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1066 - code := 7171799521858513950 - certificate := .residual 2509119394140465 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5418 - code := 3869323589185102110 - certificate := .residual 4346824990222856 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5674 - code := 3860667531440808990 - certificate := .residual 4334447695825300 - valid := Certificate.valid_of_validB (by decide) } + ⟨42, 7685063775813315870, .residual 3919108499073155⟩, + ⟨810, 4149305811566880030, .residual 4251547840983073⟩, + ⟨1066, 7171799521858513950, .residual 2509119394140465⟩, + ⟨5418, 3869323589185102110, .residual 4346824990222856⟩, + ⟨5674, 3860667531440808990, .residual 4334447695825300⟩ ], [ - { origin := 43 - code := 7181790898371636510 - certificate := .residual 3794986058614022 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 811 - code := 3140514888198677790 - certificate := .residual 4254869999757333 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1067 - code := 6424318531947555870 - certificate := .residual 2526707417338164 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5419 - code := 3726822759056728350 - certificate := .residual 333397787280880 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5675 - code := 2862200060419630110 - certificate := .residual 4308471733488275 - valid := Certificate.valid_of_validB (by decide) } + ⟨43, 7181790898371636510, .residual 3794986058614022⟩, + ⟨811, 3140514888198677790, .residual 4254869999757333⟩, + ⟨1067, 6424318531947555870, .residual 2526707417338164⟩, + ⟨5419, 3726822759056728350, .residual 333397787280880⟩, + ⟨5675, 2862200060419630110, .residual 4308471733488275⟩ ], [ - { origin := 44 - code := 7185710678799494430 - certificate := .residual 156055055194867 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 812 - code := 3139951938278810910 - certificate := .residual 119697331455858 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1068 - code := 5991979564789754910 - certificate := .residual 2771134040222913 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5420 - code := 3293355667400352030 - certificate := .residual 3302134262631682 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5676 - code := 6176836187159454750 - certificate := .residual 935803625707443 - valid := Certificate.valid_of_validB (by decide) } + ⟨44, 7185710678799494430, .residual 156055055194867⟩, + ⟨812, 3139951938278810910, .residual 119697331455858⟩, + ⟨1068, 5991979564789754910, .residual 2771134040222913⟩, + ⟨5420, 3293355667400352030, .residual 3302134262631682⟩, + ⟨5676, 6176836187159454750, .residual 935803625707443⟩ ], [ - { origin := 45 - code := 8189454433089957150 - certificate := .residual 3919108499073156 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 813 - code := 5996977927473358110 - certificate := .residual 612398829144033 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1069 - code := 3145300087386762270 - certificate := .residual 2286249345264866 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5421 - code := 4149308010581909790 - certificate := .residual 2746007415644754 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5677 - code := 3857289827626705950 - certificate := .residual 1006155204695987 - valid := Certificate.valid_of_validB (by decide) } + ⟨45, 8189454433089957150, .residual 3919108499073156⟩, + ⟨813, 5996977927473358110, .residual 612398829144033⟩, + ⟨1069, 3145300087386762270, .residual 2286249345264866⟩, + ⟨5421, 4149308010581909790, .residual 2746007415644754⟩, + ⟨5677, 3857289827626705950, .residual 1006155204695987⟩ ], [ - { origin := 46 - code := 8410695252974972190 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 2 0 1 5 7 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 814 - code := 6453036656276563230 - certificate := .residual 4409615268393216 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1070 - code := 3136574496252718110 - certificate := .residual 3606055243924117 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5422 - code := 3862203534337040670 - certificate := .residual 4231442020591303 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5678 - code := 6022957767204725790 - certificate := .residual 3915696147353088 - valid := Certificate.valid_of_validB (by decide) } + ⟨46, 8410695252974972190, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 2 0 1 5 7 4⟩, + ⟨814, 6453036656276563230, .residual 4409615268393216⟩, + ⟨1070, 3136574496252718110, .residual 3606055243924117⟩, + ⟨5422, 3862203534337040670, .residual 4231442020591303⟩, + ⟨5678, 6022957767204725790, .residual 3915696147353088⟩ ], [ - { origin := 47 - code := 8697798634003180830 - certificate := .residual 4411569478585478 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 815 - code := 4155289489154008350 - certificate := .residual 4348042613567744 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1071 - code := 2849470020007848990 - certificate := .residual 3602702921417377 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5423 - code := 3285751578126639390 - certificate := .residual 1479526919118418 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5679 - code := 6020705941856117790 - certificate := .residual 2317464136286432 - valid := Certificate.valid_of_validB (by decide) } + ⟨47, 8697798634003180830, .residual 4411569478585478⟩, + ⟨815, 4155289489154008350, .residual 4348042613567744⟩, + ⟨1071, 2849470020007848990, .residual 3602702921417377⟩, + ⟨5423, 3285751578126639390, .residual 1479526919118418⟩, + ⟨5679, 6020705941856117790, .residual 2317464136286432⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData06.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData06.lean index 16f128d32..7c804d87c 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData06.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData06.lean @@ -13,412 +13,119 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets06 : Array (List PatternEntry) := #[ [ - { origin := 48 - mask := 3503292416 - certificate := .sharedThree 2 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 304 - mask := 55918460956 - certificate := .k4 0 [0, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 560 - mask := 15763046177701888 - certificate := .k4 3 [3, 4, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 816 - mask := 43234887962 - certificate := .k4 0 [0, 1, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1072 - mask := 3377700832691200 - certificate := .k4 1 [1, 2, 6, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1584 - mask := 88115556541440 - certificate := .k4 1 [1, 2, 4, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4400 - mask := 7246314615316938752 - certificate := .k4 2 [2, 5, 7, 6, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨48, 3503292416, .sharedThree 2 3 4 6 7⟩, + ⟨304, 55918460956, .k4 0 [0, 3, 4] 0 2 3 4⟩, + ⟨560, 15763046177701888, .k4 3 [3, 4, 6] 3 4 5 6⟩, + ⟨816, 43234887962, .k4 0 [0, 1, 3, 4] 0 1 3 4⟩, + ⟨1072, 3377700832691200, .k4 1 [1, 2, 6, 3] 1 2 3 6⟩, + ⟨1584, 88115556541440, .k4 1 [1, 2, 4, 5] 1 2 5 6⟩, ], [ - { origin := 49 - mask := 3758153728 - certificate := .sharedThree 1 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 305 - mask := 56170119196 - certificate := .k4 0 [0, 4, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1329 - mask := 12464064959610880 - certificate := .k4 2 [2, 6, 3, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4145 - mask := 2450104432336281862 - certificate := .k4 0 [0, 1, 2, 7, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4657 - mask := 81364951198732 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨49, 3758153728, .sharedThree 1 3 5 6 7⟩, + ⟨305, 56170119196, .k4 0 [0, 4, 3] 0 2 3 4⟩, + ⟨1329, 12464064959610880, .k4 2 [2, 6, 3, 5] 2 3 5 6⟩, + ⟨4145, 2450104432336281862, .k4 0 [0, 1, 2, 7, 5] 0 1 2 5⟩, + ⟨4657, 81364951198732, .k4 0 [0, 2, 3, 1, 5] 1 3 5 6⟩ ], [ - { origin := 50 - mask := 3772776448 - certificate := .sharedThree 2 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 562 - mask := 15842210209595392 - certificate := .k4 4 [4, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 818 - mask := 43251665178 - certificate := .k4 0 [0, 1, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3378 - mask := 9646015510701062 - certificate := .k4 0 [0, 2, 1, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4146 - mask := 2450104432336282630 - certificate := .k4 0 [0, 2, 1, 7, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8754 - mask := 5228679470189118750 - certificate := .k4 0 [0, 1, 3, 7, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨50, 3772776448, .sharedThree 2 3 5 6 7⟩, + ⟨562, 15842210209595392, .k4 4 [4, 6, 5] 3 4 5 6⟩, + ⟨818, 43251665178, .k4 0 [0, 1, 3, 4] 0 1 3 4⟩, + ⟨4146, 2450104432336282630, .k4 0 [0, 2, 1, 7, 5] 0 1 2 5⟩, ], [ - { origin := 51 - mask := 60129542158 - certificate := .sharedThree 0 4 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 563 - mask := 15850561505067008 - certificate := .k4 3 [3, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3379 - mask := 9646015512667142 - certificate := .k4 0 [0, 2, 5, 6, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4147 - mask := 2450108830432928010 - certificate := .k4 0 [0, 1, 3, 7, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5683 - mask := 15842055591980032 - certificate := .k4 1 [1, 2, 4, 6, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨51, 60129542158, .sharedThree 0 4 1 2 3⟩, + ⟨563, 15850561505067008, .k4 3 [3, 6, 5] 3 4 5 6⟩, + ⟨3379, 9646015512667142, .k4 0 [0, 2, 5, 6, 1] 0 1 2 5⟩, + ⟨4147, 2450108830432928010, .k4 0 [0, 1, 3, 7, 5] 0 1 3 5⟩, ], [ - { origin := 52 - mask := 150326149120 - certificate := .sharedThree 2 4 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 564 - mask := 36591746985149440 - certificate := .k4 1 [1, 2, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 820 - mask := 51624607772 - certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1076 - mask := 3377992119615488 - certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2100 - mask := 1297037272503321622 - certificate := .k4 0 [0, 4, 7, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2612 - mask := 12095234516230 - certificate := .k4 0 [0, 1, 5, 3, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3380 - mask := 9646015512731910 - certificate := .k4 0 [0, 1, 6, 5, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4404 - mask := 7531157673773891584 - certificate := .k4 2 [2, 6, 7, 3, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9780 - mask := 1732197564016512030 - certificate := .k4 0 [0, 4, 7, 3, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10548 - mask := 2889204587480350742 - certificate := .k4 0 [0, 4, 6, 3, 7, 5, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨52, 150326149120, .sharedThree 2 4 0 1 5⟩, + ⟨564, 36591746985149440, .k4 1 [1, 2, 6] 1 2 6 7⟩, + ⟨2612, 12095234516230, .k4 0 [0, 1, 5, 3, 2] 0 1 2 5⟩, ], [ - { origin := 53 - mask := 150911057920 - certificate := .sharedThree 3 4 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 309 - mask := 155494907904 - certificate := .k4 2 [2, 3, 4] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 821 - mask := 51625066524 - certificate := .k4 0 [0, 3, 2, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1077 - mask := 3377993126248448 - certificate := .k4 2 [2, 4, 6, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1333 - mask := 13531010998231040 - certificate := .k4 1 [1, 5, 4, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2357 - mask := 21526744094 - certificate := .k4 0 [0, 3, 4, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4149 - mask := 2450117639360520466 - certificate := .k4 0 [0, 1, 4, 7, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨53, 150911057920, .sharedThree 3 4 0 1 5⟩, + ⟨821, 51625066524, .k4 0 [0, 3, 2, 4] 0 2 3 4⟩, + ⟨1077, 3377993126248448, .k4 2 [2, 4, 6, 3] 2 3 4 6⟩, + ⟨1333, 13531010998231040, .k4 1 [1, 5, 4, 6] 1 4 5 6⟩, + ⟨2357, 21526744094, .k4 0 [0, 3, 4, 1, 2] 0 1 2 3⟩, + ⟨4149, 2450117639360520466, .k4 0 [0, 1, 4, 7, 5] 0 1 4 5⟩ ], [ - { origin := 54 - mask := 158913799424 - certificate := .sharedThree 1 4 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 822 - mask := 51825410076 - certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1078 - mask := 3377993189163008 - certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1334 - mask := 13533081179783168 - certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2870 - mask := 844446410359062 - certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5686 - mask := 16116641725161754 - certificate := .k4 0 [0, 1, 3, 5, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨54, 158913799424, .sharedThree 1 4 0 2 5⟩, + ⟨822, 51825410076, .k4 0 [0, 2, 3, 4] 0 2 3 4⟩, + ⟨1078, 3377993189163008, .k4 2 [2, 3, 4, 6] 2 3 4 6⟩, + ⟨2870, 844446410359062, .k4 0 [0, 1, 4, 6, 2] 0 1 2 6⟩, + ⟨5686, 16116641725161754, .k4 0 [0, 1, 3, 5, 6] 0 3 4 6⟩ ], [ - { origin := 567 - mask := 36805052228231168 - certificate := .k4 1 [1, 5, 6] 1 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 823 - mask := 51826393116 - certificate := .k4 0 [0, 3, 4, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1079 - mask := 3378009299484672 - certificate := .k4 2 [2, 3, 6, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1591 - mask := 90447716311314 - certificate := .k4 0 [0, 1, 4, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2871 - mask := 844446410359830 - certificate := .k4 0 [0, 4, 2, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5687 - mask := 16116680094654746 - certificate := .k4 0 [0, 1, 4, 5, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7735 - mask := 92531064988938 - certificate := .k4 0 [0, 1, 3, 2, 4, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨567, 36805052228231168, .k4 1 [1, 5, 6] 1 5 6 7⟩, + ⟨823, 51826393116, .k4 0 [0, 3, 4, 2] 0 2 3 4⟩, + ⟨1079, 3378009299484672, .k4 2 [2, 3, 6, 4] 2 3 4 6⟩, + ⟨1591, 90447716311314, .k4 0 [0, 1, 4, 5] 1 4 5 6⟩, + ⟨2871, 844446410359830, .k4 0 [0, 4, 2, 1, 6] 0 1 2 6⟩, + ⟨7735, 92531064988938, .k4 0 [0, 1, 3, 2, 4, 5] 1 2 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets06 : Array (List HardEntry) := #[ [ - { origin := 48 - code := 8410690872108330270 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 7, 6] 0 1 2 5 7 6 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 816 - code := 4147062961727366430 - certificate := .residual 4189975189770273 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1072 - code := 6452484158910458910 - certificate := .residual 3652170878076454 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5424 - code := 3858839028756046110 - certificate := .residual 2112538780167762 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5680 - code := 6019017117765657630 - certificate := .residual 3512535048794918 - valid := Certificate.valid_of_validB (by decide) } + ⟨48, 8410690872108330270, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 7, 6] 0 1 2 5 7 6 4⟩, + ⟨816, 4147062961727366430, .residual 4189975189770273⟩, + ⟨1072, 6452484158910458910, .residual 3652170878076454⟩, + ⟨5424, 3858839028756046110, .residual 2112538780167762⟩, + ⟨5680, 6019017117765657630, .residual 3512535048794918⟩ ], [ - { origin := 49 - code := 6176905457452657950 - certificate := .hubPentagon 0 [0, 1, 2, 4, 3, 5, 7, 6] 0 1 2 7 4 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 817 - code := 3714723994569565470 - certificate := .residual 4193297348544533 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1073 - code := 6451358276183485470 - certificate := .residual 2316368651169888 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5425 - code := 3284630076266307870 - certificate := .residual 4350117082851468 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5681 - code := 5564709195337098270 - certificate := .residual 3794595216460167 - valid := Certificate.valid_of_validB (by decide) } + ⟨49, 6176905457452657950, .hubPentagon 0 [0, 1, 2, 4, 3, 5, 7, 6] 0 1 2 7 4 3⟩, + ⟨817, 3714723994569565470, .residual 4193297348544533⟩, + ⟨1073, 6451358276183485470, .residual 2316368651169888⟩, + ⟨5425, 3284630076266307870, .residual 4350117082851468⟩, + ⟨5681, 5564709195337098270, .residual 3794595216460167⟩ ], [ - { origin := 50 - code := 6455288723430124830 - certificate := .residual 3911410038171667 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 818 - code := 3714161053206078750 - certificate := .residual 118598088034162 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1074 - code := 5155452660235791390 - certificate := .residual 2624568115565872 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5426 - code := 6428199790775558430 - certificate := .residual 2965185039579842 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5682 - code := 3858839152773227550 - certificate := .residual 2317464136286433 - valid := Certificate.valid_of_validB (by decide) } + ⟨50, 6455288723430124830, .residual 3911410038171667⟩, + ⟨818, 3714161053206078750, .residual 118598088034162⟩, + ⟨1074, 5155452660235791390, .residual 2624568115565872⟩, + ⟨5426, 6428199790775558430, .residual 2965185039579842⟩, + ⟨5682, 3858839152773227550, .residual 2317464136286433⟩ ], [ - { origin := 51 - code := 6032793555060337950 - certificate := .residual 709111550073811 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 819 - code := 5420526133700486430 - certificate := .residual 611299585722337 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1075 - code := 7180383273861934110 - certificate := .residual 3300931671773572 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5427 - code := 6141095314530689310 - certificate := .residual 2315359605441125 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5683 - code := 5564643482337469470 - certificate := .residual 347259562000626 - valid := Certificate.valid_of_validB (by decide) } + ⟨51, 6032793555060337950, .residual 709111550073811⟩, + ⟨819, 5420526133700486430, .residual 611299585722337⟩, + ⟨1075, 7180383273861934110, .residual 3300931671773572⟩, + ⟨5427, 6141095314530689310, .residual 2315359605441125⟩, + ⟨5683, 5564643482337469470, .residual 347259562000626⟩ ], [ - { origin := 52 - code := 6024064678276312350 - certificate := .residual 3724737840579622 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 820 - code := 6427636857809429790 - certificate := .residual 4189839890960417 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1076 - code := 3145158248256138270 - certificate := .residual 3361557312056833 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5428 - code := 5564643358320288030 - certificate := .residual 3598608540748482 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5684 - code := 3726892852872668190 - certificate := .residual 3361542279613952 - valid := Certificate.valid_of_validB (by decide) } + ⟨52, 6024064678276312350, .residual 3724737840579622⟩, + ⟨820, 6427636857809429790, .residual 4189839890960417⟩, + ⟨1076, 3145158248256138270, .residual 3361557312056833⟩, + ⟨5428, 5564643358320288030, .residual 3598608540748482⟩, + ⟨5684, 3726892852872668190, .residual 3361542279613952⟩ ], [ - { origin := 53 - code := 8256604219807837470 - certificate := .residual 3911410038171668 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 821 - code := 5996980143442126110 - certificate := .residual 4194259424888853 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1077 - code := 5446477755433774110 - certificate := .residual 316422467528948 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5429 - code := 6137730808949694750 - certificate := .residual 4231665620502210 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5685 - code := 3726884031244723230 - certificate := .residual 2317584399040736 - valid := Certificate.valid_of_validB (by decide) } + ⟨53, 8256604219807837470, .residual 3911410038171668⟩, + ⟨821, 5996980143442126110, .residual 4194259424888853⟩, + ⟨1077, 5446477755433774110, .residual 316422467528948⟩, + ⟨5429, 6137730808949694750, .residual 4231665620502210⟩, + ⟨5685, 3726884031244723230, .residual 2317584399040736⟩ ], [ - { origin := 54 - code := 7685068156178607390 - certificate := .residual 4411569478585475 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 822 - code := 3139951963814257950 - certificate := .residual 620078509885409 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1078 - code := 8190295425286302750 - certificate := .residual 316422467528947 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5430 - code := 5563521856459956510 - certificate := .residual 4038048494102341 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5686 - code := 3726877459944760350 - certificate := .residual 2949722519647014 - valid := Certificate.valid_of_validB (by decide) } + ⟨54, 7685068156178607390, .residual 4411569478585475⟩, + ⟨822, 3139951963814257950, .residual 620078509885409⟩, + ⟨1078, 8190295425286302750, .residual 316422467528947⟩, + ⟨5430, 5563521856459956510, .residual 4038048494102341⟩, + ⟨5686, 3726877459944760350, .residual 2949722519647014⟩ ], [ - { origin := 55 - code := 8406750222435298590 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 1 0 2 5 6 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 823 - code := 5996977953008805150 - certificate := .residual 127256749442930 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1079 - code := 6164258437479951390 - certificate := .residual 4409479976808715 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5431 - code := 2852284537808544030 - certificate := .residual 1995216640734242 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5687 - code := 3292511242470220830 - certificate := .residual 3302014003546503 - valid := Certificate.valid_of_validB (by decide) } + ⟨55, 8406750222435298590, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 7, 6] 1 0 2 5 6 3⟩, + ⟨823, 5996977953008805150, .residual 127256749442930⟩, + ⟨1079, 6164258437479951390, .residual 4409479976808715⟩, + ⟨5431, 2852284537808544030, .residual 1995216640734242⟩, + ⟨5687, 3292511242470220830, .residual 3302014003546503⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData07.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData07.lean index aef9e76c2..8ea32081a 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData07.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData07.lean @@ -13,408 +13,118 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets07 : Array (List PatternEntry) := #[ [ - { origin := 56 - mask := 176093669632 - certificate := .sharedThree 1 4 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 312 - mask := 163212043264 - certificate := .k4 1 [1, 2, 4] 1 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 568 - mask := 37154696938570752 - certificate := .k4 1 [1, 2, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 824 - mask := 51875741724 - certificate := .k4 0 [0, 2, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1336 - mask := 13533218616639488 - certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨56, 176093669632, .sharedThree 1 4 0 3 5⟩, + ⟨312, 163212043264, .k4 1 [1, 2, 4] 1 2 4 5⟩, + ⟨568, 37154696938570752, .k4 1 [1, 2, 6] 1 2 6 7⟩, + ⟨824, 51875741724, .k4 0 [0, 2, 3, 4] 0 2 3 4⟩, + ⟨1336, 13533218616639488, .k4 2 [2, 4, 5, 6] 2 4 5 6⟩ ], [ - { origin := 57 - mask := 176096346112 - certificate := .sharedThree 2 4 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 569 - mask := 37154700227248128 - certificate := .k4 2 [2, 3, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 825 - mask := 51876266012 - certificate := .k4 0 [0, 2, 4, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1337 - mask := 13533218617688064 - certificate := .k4 2 [2, 5, 4, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1849 - mask := 10214463028866048 - certificate := .k4 1 [1, 5, 6, 2] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2105 - mask := 1369094840779997206 - certificate := .k4 0 [0, 2, 4, 7] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2361 - mask := 21559905310 - certificate := .k4 0 [0, 3, 4, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4409 - mask := 6597358657822 - certificate := .k4 0 [0, 1, 3, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8761 - mask := 5233258635471103246 - certificate := .k4 0 [0, 1, 3, 7, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨57, 176096346112, .sharedThree 2 4 0 3 5⟩, + ⟨569, 37154700227248128, .k4 2 [2, 3, 6] 2 3 6 7⟩, + ⟨825, 51876266012, .k4 0 [0, 2, 4, 3] 0 2 3 4⟩, + ⟨1337, 13533218617688064, .k4 2 [2, 5, 4, 6] 2 4 5 6⟩, + ⟨2361, 21559905310, .k4 0 [0, 3, 4, 2, 1] 0 1 2 3⟩, + ⟨8761, 5233258635471103246, .k4 0 [0, 1, 3, 7, 6, 5] 0 1 2 5⟩ ], [ - { origin := 58 - mask := 287767199744 - certificate := .sharedThree 2 4 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 570 - mask := 37155538753028096 - certificate := .k4 2 [2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 826 - mask := 3298537055494 - certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1082 - mask := 3452467122012160 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1338 - mask := 13537498277871616 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3130 - mask := 4785366667183366 - certificate := .k4 0 [0, 1, 2, 4, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5178 - mask := 5657434005766172 - certificate := .k4 0 [0, 2, 6, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨58, 287767199744, .sharedThree 2 4 0 1 6⟩, + ⟨570, 37155538753028096, .k4 2 [2, 4, 6] 2 4 6 7⟩, + ⟨826, 3298537055494, .k4 0 [0, 1, 2, 5] 0 1 2 5⟩, + ⟨1082, 3452467122012160, .k4 2 [2, 3, 5, 6] 2 3 5 6⟩, + ⟨1338, 13537498277871616, .k4 3 [3, 4, 5, 6] 3 4 5 6⟩, + ⟨5178, 5657434005766172, .k4 0 [0, 2, 6, 4, 5] 0 3 4 5⟩ ], [ - { origin := 59 - mask := 288886882304 - certificate := .sharedThree 3 4 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 315 - mask := 172674777088 - certificate := .k4 2 [2, 3, 4] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 571 - mask := 37370201219530752 - certificate := .k4 2 [2, 5, 6] 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 827 - mask := 3298537121030 - certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2107 - mask := 1369094862247362582 - certificate := .k4 0 [0, 2, 4, 7] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4923 - mask := 159021175801106 - certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨59, 288886882304, .sharedThree 3 4 0 1 6⟩, + ⟨571, 37370201219530752, .k4 2 [2, 5, 6] 2 5 6 7⟩, + ⟨827, 3298537121030, .k4 0 [0, 1, 2, 5] 0 1 2 5⟩, + ⟨2107, 1369094862247362582, .k4 0 [0, 2, 4, 7] 0 1 4 7⟩, ], [ - { origin := 60 - mask := 296352761088 - certificate := .sharedThree 1 4 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 572 - mask := 37717646887797760 - certificate := .k4 1 [1, 2, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 828 - mask := 3298537185542 - certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1084 - mask := 3452468191559680 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1340 - mask := 13537635179954176 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1596 - mask := 92513600955392 - certificate := .k4 1 [1, 2, 4, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2108 - mask := 1369094879711330330 - certificate := .k4 0 [0, 3, 4, 7] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8764 - mask := 5234308669077873930 - certificate := .k4 0 [0, 1, 3, 2, 7, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨60, 296352761088, .sharedThree 1 4 0 2 6⟩, + ⟨572, 37717646887797760, .k4 1 [1, 2, 6] 1 2 6 7⟩, + ⟨828, 3298537185542, .k4 0 [0, 1, 2, 5] 0 1 2 5⟩, + ⟨1340, 13537635179954176, .k4 3 [3, 4, 5, 6] 3 4 5 6⟩, + ⟨1596, 92513600955392, .k4 1 [1, 2, 4, 5] 1 2 5 6⟩, + ⟨2108, 1369094879711330330, .k4 0 [0, 3, 4, 7] 0 1 4 7⟩, + ⟨8764, 5234308669077873930, .k4 0 [0, 1, 3, 2, 7, 6] 1 2 5 6⟩ ], [ - { origin := 61 - mask := 297510371328 - certificate := .sharedThree 3 4 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 573 - mask := 37717646891860992 - certificate := .k4 1 [1, 6, 2] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 829 - mask := 3298537186310 - certificate := .k4 0 [0, 2, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1341 - mask := 13537635448389632 - certificate := .k4 3 [3, 5, 4, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1597 - mask := 92515279044608 - certificate := .k4 2 [2, 3, 4, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2109 - mask := 1441152439113941014 - certificate := .k4 0 [0, 2, 7, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2365 - mask := 21577075742 - certificate := .k4 0 [0, 4, 2, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2877 - mask := 844743042941210 - certificate := .k4 0 [0, 1, 3, 6, 4] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7997 - mask := 5066867509641502 - certificate := .k4 0 [0, 1, 2, 6, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8765 - mask := 5801199824058010654 - certificate := .k4 0 [0, 2, 4, 7, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10045 - mask := 5233821585424540686 - certificate := .k4 0 [0, 3, 7, 6, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨829, 3298537186310, .k4 0 [0, 2, 1, 5] 0 1 2 5⟩, + ⟨1341, 13537635448389632, .k4 3 [3, 5, 4, 6] 3 4 5 6⟩, + ⟨1597, 92515279044608, .k4 2 [2, 3, 4, 5] 2 3 5 6⟩, + ⟨2365, 21577075742, .k4 0 [0, 4, 2, 3, 1] 0 1 2 3⟩, + ⟨2877, 844743042941210, .k4 0 [0, 1, 3, 6, 4] 0 1 4 6⟩, + ⟨8765, 5801199824058010654, .k4 0 [0, 2, 4, 7, 6, 1] 0 1 2 3⟩, + ⟨10045, 5233821585424540686, .k4 0 [0, 3, 7, 6, 1, 5] 0 1 2 5⟩ ], [ - { origin := 318 - mask := 181227497472 - certificate := .k4 1 [1, 3, 4] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 830 - mask := 3299088541962 - certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1086 - mask := 3456865168523264 - certificate := .k4 2 [2, 3, 6, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1598 - mask := 92638157013012 - certificate := .k4 0 [0, 2, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2110 - mask := 1441152443408842774 - certificate := .k4 0 [0, 4, 7, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4414 - mask := 6597408989470 - certificate := .k4 0 [0, 1, 5, 2, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8766 - mask := 5801199824141306910 - certificate := .k4 0 [0, 3, 4, 7, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨318, 181227497472, .k4 1 [1, 3, 4] 1 3 4 5⟩, + ⟨830, 3299088541962, .k4 0 [0, 1, 3, 5] 0 1 3 5⟩, + ⟨1086, 3456865168523264, .k4 2 [2, 3, 6, 5] 2 3 5 6⟩, + ⟨1598, 92638157013012, .k4 0 [0, 2, 4, 5] 2 4 5 6⟩, + ⟨2110, 1441152443408842774, .k4 0 [0, 4, 7, 2] 0 1 2 4⟩, + ⟨4414, 6597408989470, .k4 0 [0, 1, 5, 2, 3] 0 2 3 4⟩, + ⟨8766, 5801199824141306910, .k4 0 [0, 3, 4, 7, 6, 1] 0 1 2 3⟩ ], [ - { origin := 63 - mask := 313537396736 - certificate := .sharedThree 2 4 0 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 575 - mask := 37717646891991040 - certificate := .k4 1 [1, 6, 2] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 831 - mask := 3299105319178 - certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2111 - mask := 1441152456292761622 - certificate := .k4 0 [0, 2, 7, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2879 - mask := 1407374938229774 - certificate := .k4 0 [0, 3, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6719 - mask := 9649327769141530 - certificate := .k4 0 [0, 1, 4, 6, 5, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8767 - mask := 5801199871302648094 - certificate := .k4 0 [0, 1, 2, 6, 7, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨63, 313537396736, .sharedThree 2 4 0 3 6⟩, + ⟨575, 37717646891991040, .k4 1 [1, 6, 2] 1 2 6 7⟩, + ⟨831, 3299105319178, .k4 0 [0, 1, 3, 5] 0 1 3 5⟩, + ⟨2111, 1441152456292761622, .k4 0 [0, 2, 7, 4] 0 1 2 4⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets07 : Array (List HardEntry) := #[ [ - { origin := 56 - code := 6020124028603280670 - certificate := .residual 3919108499073152 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1080 - code := 6425463230137789470 - certificate := .residual 2983815835859488 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5432 - code := 4157540745662357790 - certificate := .residual 1007216833091504 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5688 - code := 3284630063381406750 - certificate := .residual 347139299246322 - valid := Certificate.valid_of_validB (by decide) } + ⟨56, 6020124028603280670, .residual 3919108499073152⟩, + ⟨1080, 6425463230137789470, .residual 2983815835859488⟩, + ⟨5432, 4157540745662357790, .residual 1007216833091504⟩, + ⟨5688, 3284630063381406750, .residual 347139299246322⟩ ], [ - { origin := 57 - code := 6027726611954085150 - certificate := .residual 3919108499073153 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1081 - code := 8185652733411486750 - certificate := .residual 1243633049837364 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5433 - code := 3284067126346440990 - certificate := .residual 1378663402953762 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5689 - code := 6141095301645788190 - certificate := .residual 2317584399040737 - valid := Certificate.valid_of_validB (by decide) } + ⟨57, 6027726611954085150, .residual 3919108499073153⟩, + ⟨1081, 8185652733411486750, .residual 1243633049837364⟩, + ⟨5433, 3284067126346440990, .residual 1378663402953762⟩, + ⟨5689, 6141095301645788190, .residual 2317584399040737⟩ ], [ - { origin := 58 - code := 8401969528966360350 - certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 6 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1082 - code := 7176861810043284510 - certificate := .residual 1487082567597761 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5434 - code := 6455288481650499870 - certificate := .residual 935767886174128 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5690 - code := 5155451889234600990 - certificate := .residual 4377603802688147 - valid := Certificate.valid_of_validB (by decide) } + ⟨58, 8401969528966360350, .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 6 3⟩, + ⟨1082, 7176861810043284510, .residual 1487082567597761⟩, + ⟨5434, 6455288481650499870, .residual 935767886174128⟩, + ⟨5690, 5155451889234600990, .residual 4377603802688147⟩ ], [ - { origin := 59 - code := 6455284342312807710 - certificate := .residual 4403871017683987 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1083 - code := 5132363918658923550 - certificate := .residual 1261221073035057 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5435 - code := 6453036656301891870 - certificate := .residual 4408532936632841 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5691 - code := 3281954555917624350 - certificate := .residual 4325651870951828 - valid := Certificate.valid_of_validB (by decide) } + ⟨59, 6455284342312807710, .residual 4403871017683987⟩, + ⟨1083, 5132363918658923550, .residual 1261221073035057⟩, + ⟨5435, 6453036656301891870, .residual 4408532936632841⟩, + ⟨5691, 3281954555917624350, .residual 4325651870951828⟩ ], [ - { origin := 60 - code := 7173065174095637790 - certificate := .residual 3911410038171664 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1084 - code := 3862340685314288670 - certificate := .residual 2923477778371360 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5436 - code := 5591723227567284510 - certificate := .residual 4408532936632840 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5692 - code := 5600379139785876510 - certificate := .residual 4394921110841748 - valid := Certificate.valid_of_validB (by decide) } + ⟨60, 7173065174095637790, .residual 3911410038171664⟩, + ⟨1084, 3862340685314288670, .residual 2923477778371360⟩, + ⟨5436, 5591723227567284510, .residual 4408532936632840⟩, + ⟨5692, 5600379139785876510, .residual 4394921110841748⟩ ], [ - { origin := 61 - code := 7175740309239901470 - certificate := .residual 3911410038171665 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1085 - code := 7148858078349388830 - certificate := .residual 3300931671773569 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5437 - code := 6461693248786325790 - certificate := .residual 278426265174512 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5693 - code := 2862190729553372190 - certificate := .residual 4308334562798227 - valid := Certificate.valid_of_validB (by decide) } + ⟨61, 7175740309239901470, .residual 3911410038171665⟩, + ⟨1085, 7148858078349388830, .residual 3300931671773569⟩, + ⟨5437, 6461693248786325790, .residual 278426265174512⟩, + ⟨5693, 2862190729553372190, .residual 4308334562798227⟩ ], [ - { origin := 62 - code := 8404783183248764190 - certificate := .residual 226269360933619 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1086 - code := 7148789079699778590 - certificate := .residual 3303111367862661 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5438 - code := 4155298310807281950 - certificate := .residual 1006134501218224 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5694 - code := 5446497545397396510 - certificate := .residual 1755613694320864 - valid := Certificate.valid_of_validB (by decide) } + ⟨62, 8404783183248764190, .residual 226269360933619⟩, + ⟨1086, 7148789079699778590, .residual 3303111367862661⟩, + ⟨5438, 4155298310807281950, .residual 1006134501218224⟩, + ⟨5694, 5446497545397396510, .residual 1755613694320864⟩ ], [ - { origin := 63 - code := 7395988974230580510 - certificate := .residual 4348042613567750 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1087 - code := 6460844003279662110 - certificate := .residual 752132264057780 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5439 - code := 4146632896694903070 - certificate := .residual 279508604273136 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5695 - code := 5444245720048788510 - certificate := .residual 3915711179795968 - valid := Certificate.valid_of_validB (by decide) } + ⟨63, 7395988974230580510, .residual 4348042613567750⟩, + ⟨1087, 6460844003279662110, .residual 752132264057780⟩, + ⟨5439, 4146632896694903070, .residual 279508604273136⟩, + ⟨5695, 5444245720048788510, .residual 3915711179795968⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData08.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData08.lean index f41a559a6..513e27e8d 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData08.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData08.lean @@ -13,396 +13,106 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets08 : Array (List PatternEntry) := #[ [ - { origin := 64 - mask := 416611852544 - certificate := .sharedThree 1 4 0 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 320 - mask := 189586210816 - certificate := .k4 2 [2, 3, 4] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 832 - mask := 3299122094346 - certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1088 - mask := 3456866238070784 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2112 - mask := 1441152460587663382 - certificate := .k4 0 [0, 4, 7, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2368 - mask := 25821318174 - certificate := .k4 0 [0, 3, 1, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6464 - mask := 2834705594477568 - certificate := .k4 1 [1, 5, 6, 4, 3] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10560 - mask := 2896025952265109534 - certificate := .k4 0 [0, 2, 3, 7, 5, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨64, 416611852544, .sharedThree 1 4 0 5 6⟩, + ⟨832, 3299122094346, .k4 0 [0, 1, 3, 5] 0 1 3 5⟩, + ⟨1088, 3456866238070784, .k4 2 [2, 3, 5, 6] 2 3 5 6⟩, + ⟨6464, 2834705594477568, .k4 1 [1, 5, 6, 4, 3] 1 2 3 4⟩, ], [ - { origin := 321 - mask := 189787537408 - certificate := .k4 2 [2, 4, 3] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 577 - mask := 38280600134090752 - certificate := .k4 2 [2, 3, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 833 - mask := 3299122096138 - certificate := .k4 0 [0, 3, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1345 - mask := 13583787556364288 - certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1601 - mask := 92687276441600 - certificate := .k4 2 [2, 4, 5, 3] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2113 - mask := 1441152464884138012 - certificate := .k4 0 [0, 2, 7, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3137 - mask := 5066833049765142 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4417 - mask := 6635728150814 - certificate := .k4 0 [0, 1, 4, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7233 - mask := 13593708930801946 - certificate := .k4 0 [0, 1, 5, 6, 4] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7745 - mask := 97049658853638 - certificate := .k4 0 [0, 1, 2, 3, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9793 - mask := 2450116668748891166 - certificate := .k4 0 [0, 3, 4, 5, 7, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨577, 38280600134090752, .k4 2 [2, 3, 6] 2 3 6 7⟩, + ⟨833, 3299122096138, .k4 0 [0, 3, 1, 5] 0 1 3 5⟩, + ⟨1345, 13583787556364288, .k4 1 [1, 5, 6, 4] 1 4 5 6⟩, + ⟨7233, 13593708930801946, .k4 0 [0, 1, 5, 6, 4] 0 3 4 5⟩, + ⟨7745, 97049658853638, .k4 0 [0, 1, 2, 3, 4, 5] 2 4 5 6⟩, ], [ - { origin := 578 - mask := 38281459315769344 - certificate := .k4 3 [3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1090 - mask := 3659174785384460 - certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1346 - mask := 13585720298962944 - certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1602 - mask := 92775593869332 - certificate := .k4 0 [0, 2, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2114 - mask := 1441152469179039772 - certificate := .k4 0 [0, 4, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨578, 38281459315769344, .k4 3 [3, 4, 6] 3 4 6 7⟩, + ⟨1602, 92775593869332, .k4 0 [0, 2, 4, 5] 2 4 5 6⟩, + ⟨2114, 1441152469179039772, .k4 0 [0, 4, 7, 2] 0 2 3 4⟩ ], [ - { origin := 67 - mask := 420913217536 - certificate := .sharedThree 2 4 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 579 - mask := 38500502916300800 - certificate := .k4 3 [3, 5, 6] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1091 - mask := 3659174785843212 - certificate := .k4 0 [0, 3, 2, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3139 - mask := 5066837344732182 - certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5187 - mask := 6755679788338206 - certificate := .k4 0 [0, 4, 6, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5699 - mask := 37154697022980362 - certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8771 - mask := 5801762812669790494 - certificate := .k4 0 [0, 1, 2, 6, 7, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨67, 420913217536, .sharedThree 2 4 1 5 6⟩, + ⟨579, 38500502916300800, .k4 3 [3, 5, 6] 3 5 6 7⟩, + ⟨1091, 3659174785843212, .k4 0 [0, 3, 2, 6] 0 2 3 6⟩, + ⟨5187, 6755679788338206, .k4 0 [0, 4, 6, 3, 1] 0 1 2 3⟩, + ⟨5699, 37154697022980362, .k4 0 [0, 1, 3, 2, 6] 1 2 6 7⟩, + ⟨8771, 5801762812669790494, .k4 0 [0, 1, 2, 6, 7, 4] 0 1 3 4⟩ ], [ - { origin := 68 - mask := 422550962176 - certificate := .sharedThree 3 4 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 836 - mask := 3448858747154 - certificate := .k4 0 [0, 1, 4, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1348 - mask := 13585995174772736 - certificate := .k4 2 [2, 4, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2116 - mask := 1441152486357860380 - certificate := .k4 0 [0, 4, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2628 - mask := 13194729358606 - certificate := .k4 0 [0, 1, 3, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2884 - mask := 1407376011905038 - certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4164 - mask := 2594218521479752704 - certificate := .k4 1 [1, 2, 3, 7, 5] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨68, 422550962176, .sharedThree 3 4 1 5 6⟩, + ⟨836, 3448858747154, .k4 0 [0, 1, 4, 5] 0 1 4 5⟩, + ⟨2884, 1407376011905038, .k4 0 [0, 2, 3, 6, 1] 0 1 3 6⟩, + ⟨4164, 2594218521479752704, .k4 1 [1, 2, 3, 7, 5] 1 2 3 5⟩ ], [ - { origin := 69 - mask := 429496755200 - certificate := .sharedThree 1 4 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1093 - mask := 3659175792476172 - certificate := .k4 0 [0, 3, 6, 2] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1605 - mask := 96930238038016 - certificate := .k4 2 [2, 3, 4, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5189 - mask := 6755679788990494 - certificate := .k4 0 [0, 4, 6, 3, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6469 - mask := 3096246224437534 - certificate := .k4 0 [0, 1, 4, 6, 2] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6725 - mask := 9650413557214222 - certificate := .k4 0 [0, 2, 1, 6, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨69, 429496755200, .sharedThree 1 4 2 5 6⟩, + ⟨1093, 3659175792476172, .k4 0 [0, 3, 6, 2] 0 2 3 6⟩, + ⟨1605, 96930238038016, .k4 2 [2, 3, 4, 5] 2 3 5 6⟩, + ⟨6469, 3096246224437534, .k4 0 [0, 1, 4, 6, 2] 0 2 3 6⟩, ], [ - { origin := 70 - mask := 431174451200 - certificate := .sharedThree 3 4 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 838 - mask := 5497560311046 - certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1094 - mask := 3659175838679052 - certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1606 - mask := 97038091943960 - certificate := .k4 0 [0, 3, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4422 - mask := 6648613052702 - certificate := .k4 0 [0, 1, 5, 2, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5702 - mask := 37154718414455058 - certificate := .k4 0 [0, 1, 4, 2, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨838, 5497560311046, .k4 0 [0, 1, 2, 5] 0 1 2 5⟩, + ⟨1606, 97038091943960, .k4 0 [0, 3, 4, 5] 3 4 5 6⟩, + ⟨5702, 37154718414455058, .k4 0 [0, 1, 4, 2, 6] 1 2 6 7⟩ ], [ - { origin := 71 - mask := 446676625408 - certificate := .sharedThree 1 4 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 327 - mask := 293472829440 - certificate := .k4 2 [2, 3, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 583 - mask := 38843550040899584 - certificate := .k4 1 [1, 6, 3] 1 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 839 - mask := 5497560376582 - certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1607 - mask := 97072183246872 - certificate := .k4 0 [0, 3, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6471 - mask := 3096277630992646 - certificate := .k4 0 [0, 1, 6, 3, 4, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8775 - mask := 5802888696483022110 - certificate := .k4 0 [0, 1, 3, 6, 7, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨71, 446676625408, .sharedThree 1 4 3 5 6⟩, + ⟨327, 293472829440, .k4 2 [2, 3, 4] 2 3 4 6⟩, + ⟨583, 38843550040899584, .k4 1 [1, 6, 3] 1 3 6 7⟩, + ⟨839, 5497560376582, .k4 0 [0, 1, 2, 5] 0 1 2 5⟩, + ⟨8775, 5802888696483022110, .k4 0 [0, 1, 3, 6, 7, 4] 0 1 2 4⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets08 : Array (List HardEntry) := #[ [ - { origin := 64 - code := 8400275203023187230 - certificate := .residual 779325855812563 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1088 - code := 6459722501419330590 - certificate := .residual 933047028627393 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5440 - code := 4155289489179336990 - certificate := .residual 4346960281807369 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5696 - code := 5442556895958328350 - certificate := .residual 3512536927900454 - valid := Certificate.valid_of_validB (by decide) } + ⟨64, 8400275203023187230, .residual 779325855812563⟩, + ⟨1088, 6459722501419330590, .residual 933047028627393⟩, + ⟨5440, 4155289489179336990, .residual 4346960281807369⟩, + ⟨5696, 5442556895958328350, .residual 3512536927900454⟩ ], [ - { origin := 65 - code := 6166495397074709790 - certificate := .residual 4277794395533350 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1089 - code := 4145503412625239070 - certificate := .residual 760926224276401 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5441 - code := 3290611554863735070 - certificate := .residual 4346960281807368 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5697 - code := 3150432631065338910 - certificate := .residual 1755733957075168 - valid := Certificate.valid_of_validB (by decide) } + ⟨65, 6166495397074709790, .residual 4277794395533350⟩, + ⟨1089, 4145503412625239070, .residual 760926224276401⟩, + ⟨5441, 3290611554863735070, .residual 4346960281807368⟩, + ⟨5697, 3150432631065338910, .residual 1755733957075168⟩ ], [ - { origin := 66 - code := 5157689080778599710 - certificate := .residual 4411569478585472 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1090 - code := 3145018612410117150 - certificate := .residual 3363706943147269 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5442 - code := 6141164599685341470 - certificate := .residual 3795812839861506 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5698 - code := 3150423809437393950 - certificate := .residual 3361557312056832 - valid := Certificate.valid_of_validB (by decide) } + ⟨66, 5157689080778599710, .residual 4411569478585472⟩, + ⟨1090, 3145018612410117150, .residual 3363706943147269⟩, + ⟨5442, 6141164599685341470, .residual 3795812839861506⟩, + ⟨5698, 3150423809437393950, .residual 3361557312056832⟩ ], [ - { origin := 67 - code := 5162203559574908190 - certificate := .residual 4403871017683984 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1091 - code := 3136574491957816350 - certificate := .residual 1231190103736098 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5443 - code := 3867564906395132190 - certificate := .residual 3303231626947842 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5699 - code := 3150417238137431070 - certificate := .residual 2949724398752550 - valid := Certificate.valid_of_validB (by decide) } + ⟨67, 5162203559574908190, .residual 4403871017683984⟩, + ⟨1091, 3136574491957816350, .residual 1231190103736098⟩, + ⟨5443, 3867564906395132190, .residual 3303231626947842⟩, + ⟨5699, 3150417238137431070, .residual 2949724398752550⟩ ], [ - { origin := 68 - code := 5442550540468235550 - certificate := .residual 3919108499073160 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1092 - code := 6163132298061573150 - certificate := .residual 2053936852036272 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5444 - code := 5417224136780079390 - certificate := .residual 271808235357680 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5700 - code := 6141161301150458910 - certificate := .residual 3795692580776327 - valid := Certificate.valid_of_validB (by decide) } + ⟨68, 5442550540468235550, .residual 3919108499073160⟩, + ⟨1092, 6163132298061573150, .residual 2053936852036272⟩, + ⟨5444, 5417224136780079390, .residual 271808235357680⟩, + ⟨5700, 6141161301150458910, .residual 3795692580776327⟩ ], [ - { origin := 69 - code := 5155446064223366430 - certificate := .residual 3919108499073161 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1093 - code := 5131176447107558430 - certificate := .residual 746442617330594 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5445 - code := 3150353454651859230 - certificate := .residual 263029311194608 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5701 - code := 3866720481465000990 - certificate := .residual 3303111367862663 - valid := Certificate.valid_of_validB (by decide) } + ⟨69, 5155446064223366430, .residual 3919108499073161⟩, + ⟨1093, 5131176447107558430, .residual 746442617330594⟩, + ⟨5445, 3150353454651859230, .residual 263029311194608⟩, + ⟨5701, 3866720481465000990, .residual 3303111367862663⟩ ], [ - { origin := 70 - code := 5442549445251575070 - certificate := .residual 3919108499073162 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1094 - code := 2852407912913464350 - certificate := .residual 4317250646643985 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5446 - code := 3858978275153076510 - certificate := .residual 4347907321983234 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5702 - code := 3858839182586864670 - certificate := .residual 277870066581746 - valid := Certificate.valid_of_validB (by decide) } + ⟨70, 5442549445251575070, .residual 3919108499073162⟩, + ⟨1094, 2852407912913464350, .residual 4317250646643985⟩, + ⟨5446, 3858978275153076510, .residual 4347907321983234⟩, + ⟨5702, 3858839182586864670, .residual 277870066581746⟩ ], [ - { origin := 71 - code := 5155444969006705950 - certificate := .residual 3124964257345960 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1095 - code := 5446477729664363550 - certificate := .residual 316422467528945 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5447 - code := 3862203688218190110 - certificate := .residual 1479389748428370 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5703 - code := 5564643512151106590 - certificate := .residual 1755733957075169 - valid := Certificate.valid_of_validB (by decide) } + ⟨71, 5155444969006705950, .residual 3124964257345960⟩, + ⟨1095, 5446477729664363550, .residual 316422467528945⟩, + ⟨5447, 3862203688218190110, .residual 1479389748428370⟩, + ⟨5703, 5564643512151106590, .residual 1755733957075169⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData09.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData09.lean index ca2514885..180314c66 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData09.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData09.lean @@ -13,372 +13,112 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets09 : Array (List PatternEntry) := #[ [ - { origin := 584 - mask := 39406498967191552 - certificate := .k4 2 [2, 3, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 840 - mask := 5497560441094 - certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1352 - mask := 13590411738087424 - certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1864 - mask := 10696049117193478 - certificate := .k4 0 [0, 1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2120 - mask := 1729382822000459802 - certificate := .k4 0 [0, 4, 7, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨584, 39406498967191552, .k4 2 [2, 3, 6] 2 3 6 7⟩, + ⟨840, 5497560441094, .k4 0 [0, 1, 2, 5] 0 1 2 5⟩, + ⟨1864, 10696049117193478, .k4 0 [0, 1, 2, 6] 1 2 5 6⟩, + ⟨2120, 1729382822000459802, .k4 0 [0, 4, 7, 3] 0 1 3 4⟩ ], [ - { origin := 73 - mask := 562649300992 - certificate := .sharedThree 2 4 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 585 - mask := 39406499973824512 - certificate := .k4 2 [2, 6, 3] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 841 - mask := 5497560441862 - certificate := .k4 0 [0, 2, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1097 - mask := 4785353782263828 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1609 - mask := 97084253405184 - certificate := .k4 2 [2, 4, 3, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1865 - mask := 10696049117323526 - certificate := .k4 0 [0, 1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3145 - mask := 5066850228715798 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4425 - mask := 7735538101270 - certificate := .k4 0 [0, 4, 3, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6217 - mask := 92513601020166 - certificate := .k4 0 [0, 1, 2, 4, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨73, 562649300992, .sharedThree 2 4 0 1 7⟩, + ⟨585, 39406499973824512, .k4 2 [2, 6, 3] 2 3 6 7⟩, + ⟨841, 5497560441862, .k4 0 [0, 2, 1, 5] 0 1 2 5⟩, + ⟨1097, 4785353782263828, .k4 0 [0, 2, 4, 6] 0 2 4 6⟩, + ⟨1609, 97084253405184, .k4 2 [2, 4, 3, 5] 2 4 5 6⟩, + ⟨1865, 10696049117323526, .k4 0 [0, 1, 2, 6] 1 2 5 6⟩, + ⟨3145, 5066850228715798, .k4 0 [0, 1, 2, 6, 4] 0 1 2 4⟩, + ⟨6217, 92513601020166, .k4 0 [0, 1, 2, 4, 5] 1 2 5 6⟩ ], [ - { origin := 74 - mask := 564838531072 - certificate := .sharedThree 3 4 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 330 - mask := 300653102080 - certificate := .k4 1 [1, 2, 4] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 586 - mask := 39406500036739072 - certificate := .k4 2 [2, 3, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 842 - mask := 5498114473996 - certificate := .k4 0 [0, 2, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1098 - mask := 4785355135909912 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1610 - mask := 97174994026520 - certificate := .k4 0 [0, 3, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1866 - mask := 10696049121371398 - certificate := .k4 0 [0, 1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2122 - mask := 1729382830623948828 - certificate := .k4 0 [0, 4, 7, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6218 - mask := 92515228778508 - certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6474 - mask := 3096526533968146 - certificate := .k4 0 [0, 1, 6, 3, 2, 4] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨74, 564838531072, .sharedThree 3 4 0 1 7⟩, + ⟨586, 39406500036739072, .k4 2 [2, 3, 6] 2 3 6 7⟩, + ⟨842, 5498114473996, .k4 0 [0, 2, 3, 5] 0 2 3 5⟩, + ⟨1610, 97174994026520, .k4 0 [0, 3, 4, 5] 3 4 5 6⟩, + ⟨1866, 10696049121371398, .k4 0 [0, 1, 2, 6] 1 2 5 6⟩, + ⟨2122, 1729382830623948828, .k4 0 [0, 4, 7, 3] 0 2 3 4⟩, + ⟨6218, 92515228778508, .k4 0 [0, 2, 3, 4, 5] 2 3 5 6⟩, ], [ - { origin := 587 - mask := 39406500040409088 - certificate := .k4 2 [2, 6, 3] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2123 - mask := 1729382851813572634 - certificate := .k4 0 [0, 3, 7, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2635 - mask := 13216423346204 - certificate := .k4 0 [0, 4, 2, 5, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨587, 39406500040409088, .k4 2 [2, 6, 3] 2 3 6 7⟩, + ⟨2123, 1729382851813572634, .k4 0 [0, 3, 7, 4] 0 1 3 4⟩, + ⟨2635, 13216423346204, .k4 0 [0, 4, 2, 5, 3] 0 2 3 4⟩ ], [ - { origin := 76 - mask := 573462020096 - certificate := .sharedThree 3 4 0 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1100 - mask := 4785362366906642 - certificate := .k4 0 [0, 1, 4, 6] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1612 - mask := 142939274224640 - certificate := .k4 1 [1, 2, 5, 3] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2124 - mask := 1729382856091762714 - certificate := .k4 0 [0, 4, 7, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6220 - mask := 92532676034572 - certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6476 - mask := 3096551162462494 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6732 - mask := 9654812157174798 - certificate := .k4 0 [0, 3, 5, 6, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8780 - mask := 5810207023318574354 - certificate := .k4 0 [0, 1, 4, 2, 7, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10060 - mask := 5802888675058715678 - certificate := .k4 0 [0, 2, 4, 1, 7, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨76, 573462020096, .sharedThree 3 4 0 2 7⟩, + ⟨1100, 4785362366906642, .k4 0 [0, 1, 4, 6] 0 1 4 6⟩, + ⟨6220, 92532676034572, .k4 0 [0, 2, 3, 4, 5] 2 3 5 6⟩, + ⟨6476, 3096551162462494, .k4 0 [0, 1, 2, 6, 4] 0 3 4 6⟩, + ⟨6732, 9654812157174798, .k4 0 [0, 3, 5, 6, 1] 0 1 2 5⟩, + ⟨8780, 5810207023318574354, .k4 0 [0, 1, 4, 2, 7, 6] 1 2 5 6⟩, ], [ - { origin := 333 - mask := 310652698624 - certificate := .k4 2 [2, 3, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 589 - mask := 40533238473555968 - certificate := .k4 2 [2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8781 - mask := 5810769973267817746 - certificate := .k4 0 [0, 1, 4, 2, 7, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9805 - mask := 2460302402738880782 - certificate := .k4 0 [0, 1, 3, 7, 5, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨589, 40533238473555968, .k4 2 [2, 4, 6] 2 4 6 7⟩, + ⟨8781, 5810769973267817746, .k4 0 [0, 1, 4, 2, 7, 6] 1 2 5 6⟩, + ⟨9805, 2460302402738880782, .k4 0 [0, 1, 3, 7, 5, 6, 2] 0 1 2 3⟩ ], [ - { origin := 78 - mask := 588419497984 - certificate := .sharedThree 2 4 0 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 590 - mask := 40533259129454592 - certificate := .k4 3 [3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 846 - mask := 5639295270932 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1102 - mask := 4785366667165716 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1614 - mask := 143640897922048 - certificate := .k4 1 [1, 2, 5, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨78, 588419497984, .sharedThree 2 4 0 3 7⟩, + ⟨590, 40533259129454592, .k4 3 [3, 4, 6] 3 4 6 7⟩, + ⟨846, 5639295270932, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, + ⟨1102, 4785366667165716, .k4 0 [0, 2, 4, 6] 0 2 4 6⟩, + ⟨1614, 143640897922048, .k4 1 [1, 2, 5, 4] 2 4 5 7⟩ ], [ - { origin := 79 - mask := 691489775872 - certificate := .sharedThree 1 4 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 591 - mask := 40762057137586176 - certificate := .k4 4 [4, 5, 6] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 847 - mask := 5652180172820 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1103 - mask := 4785370961084436 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1359 - mask := 13599070929027072 - certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5199 - mask := 6755701180465182 - certificate := .k4 0 [0, 3, 6, 4, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨79, 691489775872, .sharedThree 1 4 0 5 7⟩, + ⟨591, 40762057137586176, .k4 4 [4, 5, 6] 4 5 6 7⟩, + ⟨847, 5652180172820, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, + ⟨1103, 4785370961084436, .k4 0 [0, 2, 4, 6] 0 2 4 6⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets09 : Array (List HardEntry) := #[ [ - { origin := 72 - code := 7395849338384559390 - certificate := .residual 1988157039375808 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1096 - code := 5450925404522572830 - certificate := .residual 4346719763574277 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5448 - code := 4147065160742396190 - certificate := .residual 2183194900947538 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5704 - code := 3280828673173939230 - certificate := .residual 1007254448117683 - valid := Certificate.valid_of_validB (by decide) } + ⟨72, 7395849338384559390, .residual 1988157039375808⟩, + ⟨1096, 5450925404522572830, .residual 4346719763574277⟩, + ⟨5448, 4147065160742396190, .residual 2183194900947538⟩, + ⟨5704, 3280828673173939230, .residual 1007254448117683⟩ ], [ - { origin := 73 - code := 7389091843033017630 - certificate := .residual 129319945053040 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1097 - code := 5162695045550730270 - certificate := .residual 2508035153971762 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5449 - code := 3285751732007788830 - certificate := .residual 4161210715195079 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5705 - code := 3284630093195043870 - certificate := .residual 1755613694320865 - valid := Certificate.valid_of_validB (by decide) } + ⟨73, 7389091843033017630, .residual 129319945053040⟩, + ⟨1097, 5162695045550730270, .residual 2508035153971762⟩, + ⟨5449, 3285751732007788830, .residual 4161210715195079⟩, + ⟨5705, 3284630093195043870, .residual 1755613694320865⟩ ], [ - { origin := 74 - code := 6166494858022759710 - certificate := .residual 2059470678193712 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1098 - code := 5131229325436677150 - certificate := .residual 3262818903856402 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5450 - code := 3858839182637195550 - certificate := .residual 4349155010119820 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5706 - code := 6141095331459425310 - certificate := .residual 277990329336050 - valid := Certificate.valid_of_validB (by decide) } + ⟨74, 6166494858022759710, .residual 2059470678193712⟩, + ⟨1098, 5131229325436677150, .residual 3262818903856402⟩, + ⟨5450, 3858839182637195550, .residual 4349155010119820⟩, + ⟨5706, 6141095331459425310, .residual 277990329336050⟩ ], [ - { origin := 75 - code := 6164251841467526430 - certificate := .residual 620939081163744 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1099 - code := 5131238018718919710 - certificate := .residual 837909096354738 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5451 - code := 3284630230147457310 - certificate := .residual 2675488465555026 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5707 - code := 5600374758902522910 - certificate := .residual 936902869129139 - valid := Certificate.valid_of_validB (by decide) } + ⟨75, 6164251841467526430, .residual 620939081163744⟩, + ⟨1099, 5131238018718919710, .residual 837909096354738⟩, + ⟨5451, 3284630230147457310, .residual 2675488465555026⟩, + ⟨5707, 5600374758902522910, .residual 936902869129139⟩ ], [ - { origin := 76 - code := 6461140884774923550 - certificate := .residual 1202434926124884 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1100 - code := 8181864353213475870 - certificate := .residual 1346467693059776 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5452 - code := 6141095468411838750 - certificate := .residual 3668975137729218 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5708 - code := 6172627260742886430 - certificate := .residual 4403716935715217 - valid := Certificate.valid_of_validB (by decide) } + ⟨76, 6461140884774923550, .residual 1202434926124884⟩, + ⟨1100, 8181864353213475870, .residual 1346467693059776⟩, + ⟨5452, 6141095468411838750, .residual 3668975137729218⟩, + ⟨5708, 6172627260742886430, .residual 4403716935715217⟩ ], [ - { origin := 77 - code := 6171789023942749470 - certificate := .residual 2077096158814771 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1101 - code := 8184107220032056350 - certificate := .residual 3902339872237968 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5453 - code := 6425956940936044830 - certificate := .residual 2965170007136962 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5709 - code := 5164104614118220830 - certificate := .residual 2468796906851412 - valid := Certificate.valid_of_validB (by decide) } + ⟨77, 6171789023942749470, .residual 2077096158814771⟩, + ⟨1101, 8184107220032056350, .residual 3902339872237968⟩, + ⟨5453, 6425956940936044830, .residual 2965170007136962⟩, + ⟨5709, 5164104614118220830, .residual 2468796906851412⟩ ], [ - { origin := 78 - code := 7681264814949346590 - certificate := .residual 1202449987870548 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1102 - code := 7148782482630405150 - certificate := .residual 1394214353296690 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5454 - code := 5564643512201437470 - certificate := .residual 1752426831602277 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5710 - code := 3860651038767375390 - certificate := .residual 4334447695825297 - valid := Certificate.valid_of_validB (by decide) } + ⟨78, 7681264814949346590, .residual 1202449987870548⟩, + ⟨1102, 7148782482630405150, .residual 1394214353296690⟩, + ⟨5454, 5564643512201437470, .residual 1752426831602277⟩, + ⟨5710, 3860651038767375390, .residual 4334447695825297⟩ ], [ - { origin := 79 - code := 7391912954117172510 - certificate := .residual 2077111220560435 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1103 - code := 5995852285009751070 - certificate := .residual 1835341575158225 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5455 - code := 6137730962830844190 - certificate := .residual 4046707148285765 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5711 - code := 2852408767607792670 - certificate := .residual 2469879245950036 - valid := Certificate.valid_of_validB (by decide) } + ⟨79, 7391912954117172510, .residual 2077111220560435⟩, + ⟨1103, 5995852285009751070, .residual 1835341575158225⟩, + ⟨5455, 6137730962830844190, .residual 4046707148285765⟩, + ⟨5711, 2852408767607792670, .residual 2469879245950036⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData10.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData10.lean index 1348357b6..cfd4b47cd 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData10.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData10.lean @@ -13,424 +13,114 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets10 : Array (List PatternEntry) := #[ [ - { origin := 80 - mask := 691500285952 - certificate := .sharedThree 2 4 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 336 - mask := 319203330048 - certificate := .k4 1 [1, 3, 4] 1 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1104 - mask := 4785370962067476 - certificate := .k4 0 [0, 4, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1616 - mask := 143661052471296 - certificate := .k4 1 [1, 3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3152 - mask := 5066867458720026 - certificate := .k4 0 [0, 1, 3, 6, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6736 - mask := 9658256168534294 - certificate := .k4 0 [0, 1, 2, 6, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨80, 691500285952, .sharedThree 2 4 0 5 7⟩, + ⟨1104, 4785370962067476, .k4 0 [0, 4, 2, 6] 0 2 4 6⟩, + ⟨1616, 143661052471296, .k4 1 [1, 3, 5, 4] 3 4 5 7⟩, ], [ - { origin := 81 - mask := 694190866432 - certificate := .sharedThree 3 4 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 849 - mask := 5656475074580 - certificate := .k4 0 [0, 4, 2, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1105 - mask := 4785385200680984 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1361 - mask := 13601104864501760 - certificate := .k4 1 [1, 5, 4, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2385 - mask := 38957286686 - certificate := .k4 0 [0, 1, 2, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4177 - mask := 2594224018553307148 - certificate := .k4 0 [0, 3, 2, 7, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6225 - mask := 92646741796114 - certificate := .k4 0 [0, 1, 4, 2, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8785 - mask := 6954280203802722582 - certificate := .k4 0 [0, 1, 2, 6, 7, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9809 - mask := 2460302415573975318 - certificate := .k4 0 [0, 1, 4, 7, 5, 6, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨81, 694190866432, .sharedThree 3 4 0 5 7⟩, + ⟨1105, 4785385200680984, .k4 0 [0, 3, 4, 6] 0 3 4 6⟩, + ⟨1361, 13601104864501760, .k4 1 [1, 5, 4, 6] 1 4 5 6⟩, + ⟨2385, 38957286686, .k4 0 [0, 1, 2, 4, 3] 0 1 2 3⟩, + ⟨4177, 2594224018553307148, .k4 0 [0, 3, 2, 7, 5] 0 2 3 5⟩, + ⟨6225, 92646741796114, .k4 0 [0, 1, 4, 2, 5] 1 4 5 6⟩, + ⟨9809, 2460302415573975318, .k4 0 [0, 1, 4, 7, 5, 6, 2] 0 1 2 4⟩ ], [ - { origin := 82 - mask := 695795318784 - certificate := .sharedThree 2 4 1 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 338 - mask := 327564132352 - certificate := .k4 2 [2, 3, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 850 - mask := 6597640858624 - certificate := .k4 1 [1, 2, 3, 5] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1106 - mask := 4785389227212824 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2386 - mask := 38957288478 - certificate := .k4 0 [0, 2, 4, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3154 - mask := 5066867693602842 - certificate := .k4 0 [0, 3, 4, 6, 1] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4178 - mask := 2594232836036821012 - certificate := .k4 0 [0, 2, 4, 7, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6226 - mask := 92663922581778 - certificate := .k4 0 [0, 1, 4, 2, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9298 - mask := 9658282239673614 - certificate := .k4 0 [0, 1, 2, 6, 5, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨82, 695795318784, .sharedThree 2 4 1 5 7⟩, + ⟨1106, 4785389227212824, .k4 0 [0, 3, 4, 6] 0 3 4 6⟩, + ⟨3154, 5066867693602842, .k4 0 [0, 3, 4, 6, 1] 0 1 3 4⟩, + ⟨4178, 2594232836036821012, .k4 0 [0, 2, 4, 7, 5] 0 2 4 5⟩, + ⟨6226, 92663922581778, .k4 0 [0, 1, 4, 2, 5] 1 4 5 6⟩, ], [ - { origin := 83 - mask := 698502610944 - certificate := .sharedThree 3 4 1 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 339 - mask := 327765458944 - certificate := .k4 2 [2, 4, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 595 - mask := 41096179823460352 - certificate := .k4 1 [1, 6, 4] 1 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 851 - mask := 6597642824704 - certificate := .k4 1 [1, 3, 5, 2] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1107 - mask := 4785389478871064 - certificate := .k4 0 [0, 4, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1363 - mask := 13601242303455232 - certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2387 - mask := 38957352222 - certificate := .k4 0 [0, 1, 4, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4179 - mask := 2594232836037804052 - certificate := .k4 0 [0, 4, 2, 7, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7251 - mask := 14074028014773526 - certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨83, 698502610944, .sharedThree 3 4 1 5 7⟩, + ⟨595, 41096179823460352, .k4 1 [1, 6, 4] 1 4 6 7⟩, + ⟨851, 6597642824704, .k4 1 [1, 3, 5, 2] 1 2 3 5⟩, + ⟨1107, 4785389478871064, .k4 0 [0, 4, 3, 6] 0 3 4 6⟩, + ⟨1363, 13601242303455232, .k4 1 [1, 5, 6, 4] 1 4 5 6⟩, + ⟨4179, 2594232836037804052, .k4 0 [0, 4, 2, 7, 5] 0 2 4 5⟩, ], [ - { origin := 84 - mask := 704374678528 - certificate := .sharedThree 1 4 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 340 - mask := 327831519232 - certificate := .k4 2 [2, 3, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 596 - mask := 41658863502491648 - certificate := .k4 2 [2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2388 - mask := 38957354014 - certificate := .k4 0 [0, 4, 3, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3412 - mask := 9650414110664714 - certificate := .k4 0 [0, 3, 5, 6, 1] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4180 - mask := 2595975540491969536 - certificate := .k4 1 [1, 5, 6, 7, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4692 - mask := 88102670591250 - certificate := .k4 0 [0, 1, 4, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5716 - mask := 39406498916992266 - certificate := .k4 0 [0, 1, 3, 2, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨84, 704374678528, .sharedThree 1 4 2 5 7⟩, + ⟨596, 41658863502491648, .k4 2 [2, 4, 6] 2 4 6 7⟩, + ⟨2388, 38957354014, .k4 0 [0, 4, 3, 1, 2] 0 1 2 3⟩, + ⟨3412, 9650414110664714, .k4 0 [0, 3, 5, 6, 1] 0 1 3 5⟩, + ⟨4180, 2595975540491969536, .k4 1 [1, 5, 6, 7, 2] 1 2 5 6⟩, + ⟨4692, 88102670591250, .k4 0 [0, 1, 4, 2, 5] 1 2 5 6⟩, ], [ - { origin := 85 - mask := 707126099968 - certificate := .sharedThree 3 4 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 597 - mask := 41659121200529408 - certificate := .k4 2 [2, 6, 4] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 853 - mask := 6597674413056 - certificate := .k4 1 [1, 2, 5, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1365 - mask := 13603312483958784 - certificate := .k4 2 [2, 5, 4, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2133 - mask := 2450169303528563712 - certificate := .k4 1 [1, 2, 7, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4693 - mask := 88102670656532 - certificate := .k4 0 [0, 2, 4, 1, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6485 - mask := 3377726586094878 - certificate := .k4 0 [0, 1, 3, 6, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8533 - mask := 14637008314066186 - certificate := .k4 0 [0, 1, 3, 2, 4, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨85, 707126099968, .sharedThree 3 4 2 5 7⟩, + ⟨597, 41659121200529408, .k4 2 [2, 6, 4] 2 4 6 7⟩, + ⟨1365, 13603312483958784, .k4 2 [2, 5, 4, 6] 2 4 5 6⟩, + ⟨2133, 2450169303528563712, .k4 1 [1, 2, 7, 5] 1 2 5 6⟩, + ⟨6485, 3377726586094878, .k4 0 [0, 1, 3, 6, 2, 4] 0 1 2 4⟩, + ⟨8533, 14637008314066186, .k4 0 [0, 1, 3, 2, 4, 6] 1 2 5 6⟩ ], [ - { origin := 598 - mask := 41659138376204288 - certificate := .k4 2 [2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1622 - mask := 145860111892480 - certificate := .k4 2 [2, 3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2390 - mask := 38990449694 - certificate := .k4 0 [0, 2, 4, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2902 - mask := 1688849915331854 - certificate := .k4 0 [0, 1, 3, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4182 - mask := 2603859038865220608 - certificate := .k4 1 [1, 6, 5, 7, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5462 - mask := 11347141511348250 - certificate := .k4 0 [0, 3, 6, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8790 - mask := 6954834357664164110 - certificate := .k4 0 [0, 1, 2, 6, 7, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨598, 41659138376204288, .k4 2 [2, 4, 6] 2 4 6 7⟩, + ⟨1622, 145860111892480, .k4 2 [2, 3, 5, 4] 3 4 5 7⟩, + ⟨2902, 1688849915331854, .k4 0 [0, 1, 3, 6, 2] 0 1 2 3⟩, + ⟨4182, 2603859038865220608, .k4 1 [1, 6, 5, 7, 2] 1 2 5 6⟩, + ⟨8790, 6954834357664164110, .k4 0 [0, 1, 2, 6, 7, 5] 0 1 3 5⟩ ], [ - { origin := 87 - mask := 721565515776 - certificate := .sharedThree 2 4 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 599 - mask := 41659138379350016 - certificate := .k4 2 [2, 6, 4] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1367 - mask := 13603449922912256 - certificate := .k4 2 [2, 5, 6, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1623 - mask := 145877225177088 - certificate := .k4 2 [2, 4, 5, 3] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2903 - mask := 1688849915333646 - certificate := .k4 0 [0, 3, 1, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4439 - mask := 10995923231006 - certificate := .k4 0 [0, 1, 2, 5, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5719 - mask := 40532675832038420 - certificate := .k4 0 [0, 2, 4, 1, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7255 - mask := 14074040900723974 - certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨87, 721565515776, .sharedThree 2 4 3 5 7⟩, + ⟨599, 41659138379350016, .k4 2 [2, 6, 4] 2 4 6 7⟩, + ⟨1623, 145877225177088, .k4 2 [2, 4, 5, 3] 3 4 5 7⟩, + ⟨2903, 1688849915333646, .k4 0 [0, 3, 1, 6, 2] 0 1 2 3⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets10 : Array (List HardEntry) := #[ [ - { origin := 80 - code := 7181721629143215390 - certificate := .residual 1434001270554048 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1104 - code := 3865150934157388830 - certificate := .residual 2466098654466387 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5456 - code := 5563522010341105950 - certificate := .residual 4161314055964354 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5712 - code := 6139472451290588190 - certificate := .residual 3280015953037714 - valid := Certificate.valid_of_validB (by decide) } + ⟨80, 7181721629143215390, .residual 1434001270554048⟩, + ⟨1104, 3865150934157388830, .residual 2466098654466387⟩, + ⟨5456, 5563522010341105950, .residual 4161314055964354⟩, + ⟨5712, 6139472451290588190, .residual 3280015953037714⟩ ], [ - { origin := 81 - code := 7684084094901300510 - certificate := .residual 1434003178962368 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1105 - code := 5131230155405552670 - certificate := .residual 2277607609955554 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5457 - code := 3858276241273708830 - certificate := .residual 1440236054166562 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5713 - code := 3866713884395627550 - certificate := .residual 3772597165951378 - valid := Certificate.valid_of_validB (by decide) } + ⟨81, 7684084094901300510, .residual 1434003178962368⟩, + ⟨1105, 5131230155405552670, .residual 2277607609955554⟩, + ⟨5457, 3858276241273708830, .residual 1440236054166562⟩, + ⟨5713, 3866713884395627550, .residual 3772597165951378⟩ ], [ - { origin := 82 - code := 6459170576917474590 - certificate := .residual 3911410038171666 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1106 - code := 3865016222508149790 - certificate := .residual 2457440067492148 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5458 - code := 2850032866341085470 - certificate := .residual 2487797850035234 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5714 - code := 3858832585517491230 - certificate := .residual 3685168810169621 - valid := Certificate.valid_of_validB (by decide) } + ⟨82, 6459170576917474590, .residual 3911410038171666⟩, + ⟨1106, 3865016222508149790, .residual 2457440067492148⟩, + ⟨5458, 2850032866341085470, .residual 2487797850035234⟩, + ⟨5714, 3858832585517491230, .residual 3685168810169621⟩ ], [ - { origin := 83 - code := 7176861673663376670 - certificate := .residual 4403991276775442 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1107 - code := 3721463984385715230 - certificate := .residual 2762492304913601 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5459 - code := 6176842108091162910 - certificate := .residual 4409479976808706 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5715 - code := 3284623633027752990 - certificate := .residual 3678569492256289 - valid := Certificate.valid_of_validB (by decide) } + ⟨83, 7176861673663376670, .residual 4403991276775442⟩, + ⟨1107, 3721463984385715230, .residual 2762492304913601⟩, + ⟨5459, 6176842108091162910, .residual 4409479976808706⟩, + ⟨5715, 3284623633027752990, .residual 3678569492256289⟩ ], [ - { origin := 84 - code := 7688143357060066590 - certificate := .residual 4411569478585476 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1108 - code := 7148773669558840350 - certificate := .residual 2448646004513073 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5460 - code := 4149308027560976670 - certificate := .residual 3527982536284866 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5716 - code := 2850165361737262110 - certificate := .residual 1977298036649044 - valid := Certificate.valid_of_validB (by decide) } + ⟨84, 7688143357060066590, .residual 4411569478585476⟩, + ⟨1108, 7148773669558840350, .residual 2448646004513073⟩, + ⟨5460, 4149308027560976670, .residual 3527982536284866⟩, + ⟨5716, 2850165361737262110, .residual 1977298036649044⟩ ], [ - { origin := 85 - code := 7679699108262063390 - certificate := .residual 4411569478585473 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1109 - code := 5419387134861143070 - certificate := .residual 2969521916484257 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5461 - code := 3862203551316107550 - certificate := .residual 4046724067059525 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5717 - code := 2850026269221381150 - certificate := .residual 1977298036649041 - valid := Certificate.valid_of_validB (by decide) } + ⟨85, 7679699108262063390, .residual 4411569478585473⟩, + ⟨1109, 5419387134861143070, .residual 2969521916484257⟩, + ⟨5461, 3862203551316107550, .residual 4046724067059525⟩, + ⟨5717, 2850026269221381150, .residual 1977298036649041⟩ ], [ - { origin := 86 - code := 5164102519270944030 - certificate := .residual 138097067231088 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1110 - code := 5131161156755942430 - certificate := .residual 2972874238990997 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5462 - code := 3285751595105706270 - certificate := .residual 4161451237492418 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5718 - code := 3281946859336688670 - certificate := .residual 4325651870951825 - valid := Certificate.valid_of_validB (by decide) } + ⟨86, 5164102519270944030, .residual 138097067231088⟩, + ⟨1110, 5131161156755942430, .residual 2972874238990997⟩, + ⟨5462, 3285751595105706270, .residual 4161451237492418⟩, + ⟨5718, 3281946859336688670, .residual 4325651870951825⟩ ], [ - { origin := 87 - code := 8190575916684422430 - certificate := .residual 3918988239981700 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1111 - code := 6171492125234457630 - certificate := .residual 822483828394929 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5463 - code := 3858839045735112990 - certificate := .residual 3106025427053250 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5719 - code := 5560768545664066590 - certificate := .residual 3271220128164242 - valid := Certificate.valid_of_validB (by decide) } + ⟨87, 8190575916684422430, .residual 3918988239981700⟩, + ⟨1111, 6171492125234457630, .residual 822483828394929⟩, + ⟨5463, 3858839045735112990, .residual 3106025427053250⟩, + ⟨5719, 5560768545664066590, .residual 3271220128164242⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData11.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData11.lean index aec5948bd..bdf7754b2 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData11.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData11.lean @@ -13,372 +13,109 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets11 : Array (List PatternEntry) := #[ [ - { origin := 88 - mask := 828928737536 - certificate := .sharedThree 1 4 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 600 - mask := 42784784065232896 - certificate := .k4 3 [3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1368 - mask := 13607729046224896 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1880 - mask := 11331566840736768 - certificate := .k4 1 [1, 2, 5, 6] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2136 - mask := 2450173701575073792 - certificate := .k4 1 [1, 7, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4952 - mask := 161115782783242 - certificate := .k4 0 [0, 1, 3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨88, 828928737536, .sharedThree 1 4 0 6 7⟩, + ⟨600, 42784784065232896, .k4 3 [3, 4, 6] 3 4 6 7⟩, + ⟨1368, 13607729046224896, .k4 3 [3, 4, 5, 6] 3 4 5 6⟩, + ⟨2136, 2450173701575073792, .k4 1 [1, 7, 5, 2] 1 2 5 6⟩, ], [ - { origin := 89 - mask := 828941336576 - certificate := .sharedThree 2 4 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 601 - mask := 42785024583401472 - certificate := .k4 3 [3, 6, 4] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1369 - mask := 13607729314660352 - certificate := .k4 3 [3, 5, 4, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1625 - mask := 147334566748422 - certificate := .k4 0 [0, 1, 2, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2137 - mask := 2450178101259329536 - certificate := .k4 1 [1, 7, 5, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2393 - mask := 38991430942 - certificate := .k4 0 [0, 1, 4, 2, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2905 - mask := 1688849915461902 - certificate := .k4 0 [0, 1, 3, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4441 - mask := 10995990274334 - certificate := .k4 0 [0, 1, 5, 3, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨89, 828941336576, .sharedThree 2 4 0 6 7⟩, + ⟨601, 42785024583401472, .k4 3 [3, 6, 4] 3 4 6 7⟩, + ⟨1369, 13607729314660352, .k4 3 [3, 5, 4, 6] 3 4 5 6⟩, + ⟨1625, 147334566748422, .k4 0 [0, 1, 2, 5] 1 2 5 7⟩, + ⟨2137, 2450178101259329536, .k4 1 [1, 7, 5, 3] 1 3 5 6⟩, + ⟨4441, 10995990274334, .k4 0 [0, 1, 5, 3, 2] 0 2 3 4⟩ ], [ - { origin := 90 - mask := 832166690816 - certificate := .sharedThree 3 4 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 602 - mask := 42785057869398016 - certificate := .k4 3 [3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2138 - mask := 2450187316614979584 - certificate := .k4 1 [1, 7, 5, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3930 - mask := 14724956074082324 - certificate := .k4 0 [0, 2, 4, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5210 - mask := 6769973942812700 - certificate := .k4 0 [0, 4, 6, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7002 - mask := 11334866461467662 - certificate := .k4 0 [0, 2, 3, 1, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9818 - mask := 2461428303765143822 - certificate := .k4 0 [0, 1, 2, 7, 5, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨602, 42785057869398016, .k4 3 [3, 4, 6] 3 4 6 7⟩, + ⟨2138, 2450187316614979584, .k4 1 [1, 7, 5, 4] 1 4 5 6⟩, + ⟨9818, 2461428303765143822, .k4 0 [0, 1, 2, 7, 5, 6, 3] 0 1 2 3⟩ ], [ - { origin := 91 - mask := 833236369408 - certificate := .sharedThree 2 4 1 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 603 - mask := 42785058674704384 - certificate := .k4 3 [3, 6, 4] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1115 - mask := 5066850233762816 - certificate := .k4 1 [1, 6, 4, 2] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1371 - mask := 13607866753613824 - certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2907 - mask := 1688849948429326 - certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6491 - mask := 3377726871371806 - certificate := .k4 0 [0, 2, 4, 6, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7003 - mask := 11334866463499278 - certificate := .k4 0 [0, 3, 6, 5, 2, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10075 - mask := 5810282889614484502 - certificate := .k4 0 [0, 4, 7, 6, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10587 - mask := 3468546323312626718 - certificate := .k4 0 [0, 2, 4, 7, 5, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨91, 833236369408, .sharedThree 2 4 1 6 7⟩, + ⟨603, 42785058674704384, .k4 3 [3, 6, 4] 3 4 6 7⟩, + ⟨1115, 5066850233762816, .k4 1 [1, 6, 4, 2] 1 2 4 6⟩, + ⟨1371, 13607866753613824, .k4 3 [3, 5, 6, 4] 3 4 5 6⟩, + ⟨2907, 1688849948429326, .k4 0 [0, 2, 3, 6, 1] 0 1 2 3⟩, + ⟨10075, 5810282889614484502, .k4 0 [0, 4, 7, 6, 1, 5] 0 1 2 5⟩, + ⟨10587, 3468546323312626718, .k4 0 [0, 2, 4, 7, 5, 6, 1] 0 1 2 3⟩ ], [ - { origin := 92 - mask := 836478435328 - certificate := .sharedThree 3 4 1 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 348 - mask := 575535219712 - certificate := .k4 1 [1, 2, 4] 1 2 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 604 - mask := 45249301529550848 - certificate := .k4 1 [1, 5, 6] 1 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7260 - mask := 14149894310749206 - certificate := .k4 0 [0, 4, 6, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8796 - mask := 6955955860610753806 - certificate := .k4 0 [0, 1, 3, 6, 7, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9820 - mask := 2461428316851175706 - certificate := .k4 0 [0, 1, 4, 7, 5, 6, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨92, 836478435328, .sharedThree 3 4 1 6 7⟩, + ⟨604, 45249301529550848, .k4 1 [1, 5, 6] 1 5 6 7⟩, + ⟨8796, 6955955860610753806, .k4 0 [0, 1, 3, 6, 7, 5] 0 1 2 5⟩, + ⟨9820, 2461428316851175706, .k4 0 [0, 1, 4, 7, 5, 6, 3] 0 1 3 4⟩ ], [ - { origin := 93 - mask := 841813640192 - certificate := .sharedThree 1 4 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 605 - mask := 45251500567429120 - certificate := .k4 2 [2, 5, 6] 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1629 - mask := 147337318638592 - certificate := .k4 1 [1, 2, 5, 3] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨93, 841813640192, .sharedThree 1 4 2 6 7⟩, + ⟨605, 45251500567429120, .k4 2 [2, 5, 6] 2 5 6 7⟩, + ⟨1629, 147337318638592, .k4 1 [1, 2, 5, 3] 2 3 5 7⟩ ], [ - { origin := 94 - mask := 845101924352 - certificate := .sharedThree 3 4 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 606 - mask := 45255902357356544 - certificate := .k4 3 [3, 5, 6] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 862 - mask := 7696581599494 - certificate := .k4 0 [0, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2398 - mask := 43236001054 - certificate := .k4 0 [0, 1, 2, 3, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2654 - mask := 14294207046670 - certificate := .k4 0 [0, 3, 5, 2, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8798 - mask := 6956234035966845198 - certificate := .k4 0 [0, 1, 2, 5, 7, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨94, 845101924352, .sharedThree 3 4 2 6 7⟩, + ⟨606, 45255902357356544, .k4 3 [3, 5, 6] 3 5 6 7⟩, + ⟨862, 7696581599494, .k4 0 [0, 1, 2, 5] 0 1 2 5⟩, + ⟨2654, 14294207046670, .k4 0 [0, 3, 5, 2, 1] 0 1 2 5⟩, ], [ - { origin := 607 - mask := 45265656764956672 - certificate := .k4 4 [4, 5, 6] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 863 - mask := 7696581600262 - certificate := .k4 0 [0, 2, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1119 - mask := 5066868750567424 - certificate := .k4 1 [1, 6, 4, 3] 1 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1375 - mask := 14161855794667520 - certificate := .k4 1 [1, 6, 5, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1631 - mask := 148038942336000 - certificate := .k4 1 [1, 2, 5, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6239 - mask := 96912807100428 - certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨607, 45265656764956672, .k4 4 [4, 5, 6] 4 5 6 7⟩, + ⟨863, 7696581600262, .k4 0 [0, 2, 1, 5] 0 1 2 5⟩, + ⟨1119, 5066868750567424, .k4 1 [1, 6, 4, 3] 1 3 4 6⟩, + ⟨1375, 14161855794667520, .k4 1 [1, 6, 5, 4] 1 4 5 6⟩, + ⟨1631, 148038942336000, .k4 1 [1, 2, 5, 4] 2 4 5 7⟩, + ⟨6239, 96912807100428, .k4 0 [0, 2, 3, 4, 5] 2 3 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets11 : Array (List HardEntry) := #[ [ - { origin := 88 - code := 6028848096049900830 - certificate := .residual 3918988239981697 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1112 - code := 3858394538300697630 - certificate := .residual 831277788613556 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5464 - code := 3284630093245374750 - certificate := .residual 1752291532792421 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5720 - code := 6137154788874839070 - certificate := .residual 3045388487022113 - valid := Certificate.valid_of_validB (by decide) } + ⟨88, 6028848096049900830, .residual 3918988239981697⟩, + ⟨1112, 3858394538300697630, .residual 831277788613556⟩, + ⟨5464, 3284630093245374750, .residual 1752291532792421⟩, + ⟨5720, 6137154788874839070, .residual 3045388487022113⟩ ], [ - { origin := 89 - code := 7676196318743112990 - certificate := .residual 129318065997680 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1113 - code := 3857273036440366110 - certificate := .residual 1012192553183169 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5465 - code := 6428199807754625310 - certificate := .residual 2183179864891986 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5721 - code := 5560702832664437790 - certificate := .residual 3051987804935445 - valid := Certificate.valid_of_validB (by decide) } + ⟨89, 7676196318743112990, .residual 129318065997680⟩, + ⟨1113, 3857273036440366110, .residual 1012192553183169⟩, + ⟨5465, 6428199807754625310, .residual 2183179864891986⟩, + ⟨5721, 5560702832664437790, .residual 3051987804935445⟩ ], [ - { origin := 90 - code := 6027669437570100510 - certificate := .residual 4411569478585474 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1114 - code := 5131229055910702110 - certificate := .residual 3916898738204933 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5466 - code := 6141095331509756190 - certificate := .residual 4410727664945292 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5722 - code := 5128357294206673950 - certificate := .residual 2468796906851409 - valid := Certificate.valid_of_validB (by decide) } + ⟨90, 6027669437570100510, .residual 4411569478585474⟩, + ⟨1114, 5131229055910702110, .residual 3916898738204933⟩, + ⟨5466, 6141095331509756190, .residual 4410727664945292⟩, + ⟨5722, 5128357294206673950, .residual 2468796906851409⟩ ], [ - { origin := 91 - code := 7391345605866958110 - certificate := .residual 3918988239981698 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1115 - code := 5131161152477752350 - certificate := .residual 1785208665339682 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5467 - code := 5564643375299354910 - certificate := .residual 2605136886566482 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5723 - code := 6139406481599554590 - certificate := .residual 3122356281021717 - valid := Certificate.valid_of_validB (by decide) } + ⟨91, 7391345605866958110, .residual 3918988239981698⟩, + ⟨1115, 5131161152477752350, .residual 1785208665339682⟩, + ⟨5467, 5564643375299354910, .residual 2605136886566482⟩, + ⟨5723, 6139406481599554590, .residual 3122356281021717⟩ ], [ - { origin := 92 - code := 6026825012690300190 - certificate := .residual 4411689737676935 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1116 - code := 5131238848687795230 - certificate := .residual 3793512884687234 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5468 - code := 6137730825928761630 - certificate := .residual 1549756363472466 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5724 - code := 5562954525389153310 - certificate := .residual 3115756963108385 - valid := Certificate.valid_of_validB (by decide) } + ⟨92, 6026825012690300190, .residual 4411689737676935⟩, + ⟨1116, 5131238848687795230, .residual 3793512884687234⟩, + ⟨5468, 6137730825928761630, .residual 1549756363472466⟩, + ⟨5724, 5562954525389153310, .residual 3115756963108385⟩ ], [ - { origin := 93 - code := 7175172823803505950 - certificate := .residual 3919108499073159 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1117 - code := 5419400209010027550 - certificate := .residual 1422509054762658 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5469 - code := 5563521873439023390 - certificate := .residual 4161193796421319 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5725 - code := 5166346941884851230 - certificate := .residual 1976215697550420 - valid := Certificate.valid_of_validB (by decide) } + ⟨93, 7175172823803505950, .residual 3919108499073159⟩, + ⟨1117, 5419400209010027550, .residual 1422509054762658⟩, + ⟨5469, 5563521873439023390, .residual 4161193796421319⟩, + ⟨5725, 5166346941884851230, .residual 1976215697550420⟩ ], [ - { origin := 94 - code := 6024064411992403230 - certificate := .residual 1505314909371952 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1118 - code := 3716956004160138270 - certificate := .residual 4249375660746946 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5470 - code := 6141093141076435230 - certificate := .residual 1441333429320738 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5726 - code := 5130600165303444510 - certificate := .residual 1976215697550417 - valid := Certificate.valid_of_validB (by decide) } + ⟨94, 6024064411992403230, .residual 1505314909371952⟩, + ⟨1118, 3716956004160138270, .residual 4249375660746946⟩, + ⟨5470, 6141093141076435230, .residual 1441333429320738⟩, + ⟨5726, 5130600165303444510, .residual 1976215697550417⟩ ], [ - { origin := 95 - code := 6454720852555541790 - certificate := .residual 1505316817780272 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1119 - code := 3857143736701578270 - certificate := .residual 3475218863138626 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5471 - code := 5132289015213646110 - certificate := .residual 2486835773690914 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5727 - code := 5598408814949360670 - certificate := .residual 4394921110841745 - valid := Certificate.valid_of_validB (by decide) } + ⟨95, 6454720852555541790, .residual 1505316817780272⟩, + ⟨1119, 3857143736701578270, .residual 3475218863138626⟩, + ⟨5471, 5132289015213646110, .residual 2486835773690914⟩, + ⟨5727, 5598408814949360670, .residual 4394921110841745⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData12.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData12.lean index 686345091..2cc9640b7 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData12.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData12.lean @@ -13,384 +13,114 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets12 : Array (List PatternEntry) := #[ [ - { origin := 96 - mask := 859006566400 - certificate := .sharedThree 2 4 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 608 - mask := 45741882738794496 - certificate := .k4 1 [1, 5, 6] 1 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2400 - mask := 43236066590 - certificate := .k4 0 [0, 1, 3, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2912 - mask := 1688862750426390 - certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6240 - mask := 96930214469898 - certificate := .k4 0 [0, 1, 3, 4, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7776 - mask := 145177153504530 - certificate := .k4 0 [0, 1, 4, 2, 3, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9824 - mask := 2463680403052134678 - certificate := .k4 0 [0, 1, 2, 7, 5, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10080 - mask := 7099229921754530830 - certificate := .k4 0 [0, 3, 5, 7, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨96, 859006566400, .sharedThree 2 4 3 6 7⟩, + ⟨608, 45741882738794496, .k4 1 [1, 5, 6] 1 5 6 7⟩, + ⟨2912, 1688862750426390, .k4 0 [0, 1, 4, 6, 2] 0 1 2 4⟩, + ⟨6240, 96930214469898, .k4 0 [0, 1, 3, 4, 5] 1 3 5 6⟩, + ⟨9824, 2463680403052134678, .k4 0 [0, 1, 2, 7, 5, 6, 4] 0 1 2 4⟩, + ⟨10080, 7099229921754530830, .k4 0 [0, 3, 5, 7, 1, 6] 0 1 2 6⟩ ], [ - { origin := 97 - mask := 962072731648 - certificate := .sharedThree 1 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 609 - mask := 45810052459716608 - certificate := .k4 1 [1, 6, 5] 1 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 865 - mask := 7696583566342 - certificate := .k4 0 [0, 2, 5, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1377 - mask := 14161993233620992 - certificate := .k4 1 [1, 6, 4, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4193 - mask := 2882449999265333260 - certificate := .k4 0 [0, 2, 3, 7, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4961 - mask := 162872166973464 - certificate := .k4 0 [0, 3, 4, 5, 2] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6241 - mask := 96930254356492 - certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10081 - mask := 7099238859027825686 - certificate := .k4 0 [0, 4, 5, 7, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨97, 962072731648, .sharedThree 1 4 5 6 7⟩, + ⟨609, 45810052459716608, .k4 1 [1, 6, 5] 1 5 6 7⟩, + ⟨865, 7696583566342, .k4 0 [0, 2, 5, 1] 0 1 2 5⟩, + ⟨1377, 14161993233620992, .k4 1 [1, 6, 4, 5] 1 4 5 6⟩, + ⟨4961, 162872166973464, .k4 0 [0, 3, 4, 5, 2] 2 3 5 7⟩, + ⟨6241, 96930254356492, .k4 0 [0, 2, 3, 4, 5] 2 3 5 6⟩, + ⟨10081, 7099238859027825686, .k4 0 [0, 4, 5, 7, 1, 6] 0 1 2 6⟩ ], [ - { origin := 98 - mask := 962087354368 - certificate := .sharedThree 2 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2914 - mask := 1688862750491670 - certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9314 - mask := 10205688409631774 - certificate := .k4 0 [0, 4, 2, 6, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9826 - mask := 2463680420282138906 - certificate := .k4 0 [0, 1, 3, 7, 5, 6, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨98, 962087354368, .sharedThree 2 4 5 6 7⟩, + ⟨9826, 2463680420282138906, .k4 0 [0, 1, 3, 7, 5, 6, 4] 0 1 3 4⟩ ], [ - { origin := 99 - mask := 965830770688 - certificate := .sharedThree 3 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 867 - mask := 7696583631110 - certificate := .k4 0 [0, 1, 5, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1123 - mask := 5139538255044608 - certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2147 - mask := 2594225117981060096 - certificate := .k4 1 [1, 5, 7, 2] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8803 - mask := 6958212336553306394 - certificate := .k4 0 [0, 1, 4, 6, 7, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10083 - mask := 7100071048686642190 - certificate := .k4 0 [0, 3, 6, 7, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨99, 965830770688, .sharedThree 3 4 5 6 7⟩, + ⟨867, 7696583631110, .k4 0 [0, 1, 5, 2] 0 1 2 5⟩, + ⟨10083, 7100071048686642190, .k4 0 [0, 3, 6, 7, 1, 5] 0 1 2 5⟩ ], [ - { origin := 100 - mask := 15393162788878 - certificate := .sharedThree 0 5 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 612 - mask := 46307031730094080 - certificate := .k4 2 [2, 5, 6] 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 868 - mask := 9896158308618 - certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1380 - mask := 14711877901746176 - certificate := .k4 2 [2, 6, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2148 - mask := 2594225118618189824 - certificate := .k4 2 [2, 7, 5, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4708 - mask := 88386132206612 - certificate := .k4 0 [0, 2, 4, 1, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5220 - mask := 7047871413100826 - certificate := .k4 0 [0, 1, 5, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8804 - mask := 6958485835781054742 - certificate := .k4 0 [0, 1, 2, 5, 7, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨100, 15393162788878, .sharedThree 0 5 1 2 3⟩, + ⟨612, 46307031730094080, .k4 2 [2, 5, 6] 2 5 6 7⟩, + ⟨868, 9896158308618, .k4 0 [0, 1, 3, 5] 0 1 3 5⟩, + ⟨1380, 14711877901746176, .k4 2 [2, 6, 4, 5] 2 4 5 6⟩, + ⟨5220, 7047871413100826, .k4 0 [0, 1, 5, 3, 6] 0 3 4 6⟩, + ⟨8804, 6958485835781054742, .k4 0 [0, 1, 2, 5, 7, 6] 0 2 4 6⟩ ], [ - { origin := 101 - mask := 24189255811094 - certificate := .sharedThree 0 5 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 613 - mask := 46373002427760640 - certificate := .k4 2 [2, 6, 5] 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 869 - mask := 9896160985100 - certificate := .k4 0 [0, 2, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2405 - mask := 43252780310 - certificate := .k4 0 [0, 1, 2, 3, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3941 - mask := 216172782206746894 - certificate := .k4 0 [0, 1, 3, 7, 2] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4197 - mask := 2882453297348881408 - certificate := .k4 1 [1, 2, 3, 7, 5] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨101, 24189255811094, .sharedThree 0 5 1 2 4⟩, + ⟨613, 46373002427760640, .k4 2 [2, 6, 5] 2 5 6 7⟩, + ⟨3941, 216172782206746894, .k4 0 [0, 1, 3, 7, 2] 0 1 2 7⟩, + ⟨4197, 2882453297348881408, .k4 1 [1, 2, 3, 7, 5] 1 2 3 5⟩ ], [ - { origin := 102 - mask := 28587302322202 - certificate := .sharedThree 0 5 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 614 - mask := 46377400470077440 - certificate := .k4 2 [2, 5, 6] 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 870 - mask := 9896175085834 - certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3942 - mask := 216172784362553614 - certificate := .k4 0 [0, 1, 2, 7, 3] 0 1 3 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨102, 28587302322202, .sharedThree 0 5 1 3 4⟩, + ⟨614, 46377400470077440, .k4 2 [2, 5, 6] 2 5 6 7⟩, + ⟨870, 9896175085834, .k4 0 [0, 1, 3, 5] 0 1 3 5⟩, + ⟨3942, 216172784362553614, .k4 0 [0, 1, 2, 7, 3] 0 1 3 7⟩ ], [ - { origin := 103 - mask := 30786325577756 - certificate := .sharedThree 0 5 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 359 - mask := 603787886592 - certificate := .k4 2 [2, 4, 3] 2 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 615 - mask := 46377400472174592 - certificate := .k4 2 [2, 6, 5] 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 871 - mask := 9896191861002 - certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1127 - mask := 5154931417833472 - certificate := .k4 1 [1, 6, 4, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1383 - mask := 14724951783243776 - certificate := .k4 2 [2, 6, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3943 - mask := 216172803598221590 - certificate := .k4 0 [0, 1, 4, 7, 2] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4967 - mask := 163281783358738 - certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7271 - mask := 14434390528508186 - certificate := .k4 0 [0, 1, 6, 5, 3] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10087 - mask := 7102323126582682646 - certificate := .k4 0 [0, 4, 6, 7, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨103, 30786325577756, .sharedThree 0 5 2 3 4⟩, + ⟨359, 603787886592, .k4 2 [2, 4, 3] 2 3 4 7⟩, + ⟨615, 46377400472174592, .k4 2 [2, 6, 5] 2 5 6 7⟩, + ⟨871, 9896191861002, .k4 0 [0, 1, 3, 5] 0 1 3 5⟩, + ⟨1127, 5154931417833472, .k4 1 [1, 6, 4, 5] 1 4 5 6⟩, + ⟨1383, 14724951783243776, .k4 2 [2, 6, 4, 5] 2 4 5 6⟩, + ⟨3943, 216172803598221590, .k4 0 [0, 1, 4, 7, 2] 0 1 2 7⟩, + ⟨4967, 163281783358738, .k4 0 [0, 1, 4, 2, 5] 2 4 5 7⟩, + ⟨7271, 14434390528508186, .k4 0 [0, 1, 6, 5, 3] 0 3 4 6⟩, + ⟨10087, 7102323126582682646, .k4 0 [0, 4, 6, 7, 1, 5] 0 1 2 5⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets12 : Array (List HardEntry) := #[ [ - { origin := 96 - code := 6028799718126071070 - certificate := .residual 4411689737676930 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1120 - code := 2852278069844536350 - certificate := .residual 4170004660737221 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5472 - code := 6164806280117018910 - certificate := .residual 953327621082032 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5728 - code := 3292495849308349470 - certificate := .residual 3763801341077906 - valid := Certificate.valid_of_validB (by decide) } + ⟨96, 6028799718126071070, .residual 4411689737676930⟩, + ⟨1120, 2852278069844536350, .residual 4170004660737221⟩, + ⟨5472, 6164806280117018910, .residual 953327621082032⟩, + ⟨5728, 3292495849308349470, .residual 3763801341077906⟩ ], [ - { origin := 97 - code := 7679580362667797790 - certificate := .residual 3919108499073154 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1121 - code := 3713030747648977950 - certificate := .residual 2317405881600101 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5473 - code := 3867059112994464030 - certificate := .residual 1023696118844336 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5729 - code := 3858823622709273630 - certificate := .residual 3608201016170017 - valid := Certificate.valid_of_validB (by decide) } + ⟨97, 7679580362667797790, .residual 3919108499073154⟩, + ⟨1121, 3713030747648977950, .residual 2317405881600101⟩, + ⟨5473, 3867059112994464030, .residual 1023696118844336⟩, + ⟨5729, 3858823622709273630, .residual 3608201016170017⟩ ], [ - { origin := 98 - code := 6463393094542306590 - certificate := .residual 4403871017683988 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1122 - code := 2851717318914370590 - certificate := .residual 2982865092065602 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5474 - code := 5590605597368705310 - certificate := .residual 945631039630256 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5730 - code := 3284614670219535390 - certificate := .residual 3614800334083349 - valid := Certificate.valid_of_validB (by decide) } + ⟨98, 6463393094542306590, .residual 4403871017683988⟩, + ⟨1122, 2851717318914370590, .residual 2982865092065602⟩, + ⟨5474, 5590605597368705310, .residual 945631039630256⟩, + ⟨5730, 3284614670219535390, .residual 3614800334083349⟩ ], [ - { origin := 99 - code := 6459170970143304990 - certificate := .residual 4403871017683985 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1123 - code := 5995847784353786910 - certificate := .residual 1481298832039378 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5475 - code := 3858832585567822110 - certificate := .residual 1873304089393186 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5731 - code := 2852269131761771550 - certificate := .residual 2469879245950033 - valid := Certificate.valid_of_validB (by decide) } + ⟨99, 6459170970143304990, .residual 4403871017683985⟩, + ⟨1123, 5995847784353786910, .residual 1481298832039378⟩, + ⟨5475, 3858832585567822110, .residual 1873304089393186⟩, + ⟨5731, 2852269131761771550, .residual 2469879245950033⟩ ], [ - { origin := 100 - code := 5159386447612488990 - certificate := .residual 629716203341792 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1124 - code := 6136035516895226910 - certificate := .residual 2748053695466578 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5476 - code := 5560702845549338910 - certificate := .residual 2427322651097122 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5732 - code := 7148705516495692830 - certificate := .residual 4049790669524776 - valid := Certificate.valid_of_validB (by decide) } + ⟨100, 5159386447612488990, .residual 629716203341792⟩, + ⟨1124, 6136035516895226910, .residual 2748053695466578⟩, + ⟨5476, 5560702845549338910, .residual 2427322651097122⟩, + ⟨5732, 7148705516495692830, .residual 4049790669524776⟩ ], [ - { origin := 101 - code := 8257725703402302750 - certificate := .residual 3911289779080212 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1125 - code := 5131169850038184990 - certificate := .residual 4411539413806348 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5477 - code := 3292858430246150430 - certificate := .residual 1015999537392560 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5733 - code := 7146462512775029790 - certificate := .residual 3792821395080714 - valid := Certificate.valid_of_validB (by decide) } + ⟨101, 8257725703402302750, .residual 3911289779080212⟩, + ⟨1125, 5131169850038184990, .residual 4411539413806348⟩, + ⟨5477, 3292858430246150430, .residual 1015999537392560⟩, + ⟨5733, 7146462512775029790, .residual 3792821395080714⟩ ], [ - { origin := 102 - code := 7176861793085041950 - certificate := .residual 3911289779080209 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1126 - code := 5991922527842626590 - certificate := .residual 4248877701442759 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5478 - code := 6139406481649885470 - certificate := .residual 1873168790583330 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5734 - code := 7148705379593610270 - certificate := .residual 3300240182167050 - valid := Certificate.valid_of_validB (by decide) } + ⟨102, 7176861793085041950, .residual 3911289779080209⟩, + ⟨1126, 5991922527842626590, .residual 4248877701442759⟩, + ⟨5478, 6139406481649885470, .residual 1873168790583330⟩, + ⟨5734, 7148705379593610270, .residual 3300240182167050⟩ ], [ - { origin := 103 - code := 6451356316910234910 - certificate := .residual 620937202108384 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1127 - code := 5130609099108019230 - certificate := .residual 989142335587282 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5479 - code := 3284614683104436510 - certificate := .residual 2427457949906978 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5735 - code := 7146462375872947230 - certificate := .residual 4049788786806568 - valid := Certificate.valid_of_validB (by decide) } + ⟨103, 6451356316910234910, .residual 620937202108384⟩, + ⟨1127, 5130609099108019230, .residual 989142335587282⟩, + ⟨5479, 3284614683104436510, .residual 2427457949906978⟩, + ⟨5735, 7146462375872947230, .residual 4049788786806568⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData13.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData13.lean index 858a58927..df735beb2 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData13.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData13.lean @@ -13,412 +13,117 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets13 : Array (List PatternEntry) := #[ [ - { origin := 104 - mask := 73667283451904 - certificate := .sharedThree 2 5 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 360 - mask := 3298537186560 - certificate := .k4 1 [1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 616 - mask := 47437333426864128 - certificate := .k4 3 [3, 5, 6] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 872 - mask := 9896191862794 - certificate := .k4 0 [0, 3, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1128 - mask := 5348037442421010 - certificate := .k4 0 [0, 1, 4, 6] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1640 - mask := 151734802489610 - certificate := .k4 0 [0, 1, 3, 5] 1 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3944 - mask := 216172823217996058 - certificate := .k4 0 [0, 1, 4, 7, 3] 0 1 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4200 - mask := 2882453452204015616 - certificate := .k4 2 [2, 3, 4, 7, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4712 - mask := 88399018025222 - certificate := .k4 0 [0, 1, 2, 4, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6248 - mask := 97079951122706 - certificate := .k4 0 [0, 1, 4, 3, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6760 - mask := 9663749430469654 - certificate := .k4 0 [0, 4, 5, 6, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7784 - mask := 145857402964230 - certificate := .k4 0 [0, 1, 2, 3, 5, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨104, 73667283451904, .sharedThree 2 5 0 1 6⟩, + ⟨616, 47437333426864128, .k4 3 [3, 5, 6] 3 5 6 7⟩, + ⟨872, 9896191862794, .k4 0 [0, 3, 1, 5] 0 1 3 5⟩, + ⟨1128, 5348037442421010, .k4 0 [0, 1, 4, 6] 0 1 4 6⟩, + ⟨1640, 151734802489610, .k4 0 [0, 1, 3, 5] 1 3 5 7⟩, + ⟨3944, 216172823217996058, .k4 0 [0, 1, 4, 7, 3] 0 1 3 7⟩, + ⟨4200, 2882453452204015616, .k4 2 [2, 3, 4, 7, 5] 2 3 4 5⟩, + ⟨4712, 88399018025222, .k4 0 [0, 1, 2, 4, 5] 1 4 5 6⟩, + ⟨6248, 97079951122706, .k4 0 [0, 1, 4, 3, 5] 1 4 5 6⟩, + ⟨6760, 9663749430469654, .k4 0 [0, 4, 5, 6, 1] 0 1 2 5⟩, ], [ - { origin := 105 - mask := 73668403134464 - certificate := .sharedThree 3 5 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 617 - mask := 47498906078019584 - certificate := .k4 3 [3, 6, 5] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1385 - mask := 15842176655163392 - certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2153 - mask := 2594284491612775424 - certificate := .k4 1 [1, 2, 7, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3945 - mask := 216173357640548630 - certificate := .k4 0 [0, 1, 2, 7, 4] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5481 - mask := 11355910711700480 - certificate := .k4 1 [1, 2, 4, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7273 - mask := 14636849117094166 - certificate := .k4 0 [0, 1, 2, 4, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8041 - mask := 5643012094820378 - certificate := .k4 0 [0, 3, 5, 2, 6, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨105, 73668403134464, .sharedThree 3 5 0 1 6⟩, + ⟨617, 47498906078019584, .k4 3 [3, 6, 5] 3 5 6 7⟩, + ⟨1385, 15842176655163392, .k4 3 [3, 5, 6, 4] 3 4 5 6⟩, + ⟨2153, 2594284491612775424, .k4 1 [1, 2, 7, 5] 1 2 5 6⟩, + ⟨3945, 216173357640548630, .k4 0 [0, 1, 2, 7, 4] 0 1 4 7⟩, + ⟨7273, 14636849117094166, .k4 0 [0, 1, 2, 4, 6] 1 4 5 6⟩, ], [ - { origin := 106 - mask := 73955041869824 - certificate := .sharedThree 4 5 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 618 - mask := 47507701097299968 - certificate := .k4 3 [3, 5, 6] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1386 - mask := 15842177192034304 - certificate := .k4 3 [3, 6, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3946 - mask := 216173375104516378 - certificate := .k4 0 [0, 1, 3, 7, 4] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5482 - mask := 11613041817362702 - certificate := .k4 0 [0, 1, 2, 5, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6250 - mask := 142939223893258 - certificate := .k4 0 [0, 1, 3, 2, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7274 - mask := 14636849117160722 - certificate := .k4 0 [0, 1, 4, 2, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨106, 73955041869824, .sharedThree 4 5 0 1 6⟩, + ⟨618, 47507701097299968, .k4 3 [3, 5, 6] 3 5 6 7⟩, + ⟨1386, 15842177192034304, .k4 3 [3, 6, 4, 5] 3 4 5 6⟩, + ⟨3946, 216173375104516378, .k4 0 [0, 1, 3, 7, 4] 0 1 4 7⟩, + ⟨7274, 14636849117160722, .k4 0 [0, 1, 4, 2, 6] 1 4 5 6⟩ ], [ - { origin := 107 - mask := 75866302334208 - certificate := .sharedThree 1 5 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 363 - mask := 5497560442112 - certificate := .k4 1 [1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 619 - mask := 47507701634170880 - certificate := .k4 3 [3, 6, 5] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 875 - mask := 9896228028428 - certificate := .k4 0 [0, 3, 2, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1387 - mask := 15850733035323392 - certificate := .k4 3 [3, 6, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2411 - mask := 47547747350 - certificate := .k4 0 [0, 2, 4, 3, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5739 - mask := 1441152434818256158 - certificate := .k4 0 [0, 1, 4, 7, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5995 - mask := 19945913592846 - certificate := .k4 0 [0, 3, 2, 4, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7275 - mask := 14636866297946386 - certificate := .k4 0 [0, 1, 4, 2, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨107, 75866302334208, .sharedThree 1 5 0 2 6⟩, + ⟨619, 47507701634170880, .k4 3 [3, 6, 5] 3 5 6 7⟩, + ⟨875, 9896228028428, .k4 0 [0, 3, 2, 5] 0 2 3 5⟩, + ⟨1387, 15850733035323392, .k4 3 [3, 6, 5, 4] 3 4 5 6⟩, + ⟨5739, 1441152434818256158, .k4 0 [0, 1, 4, 7, 2] 0 1 2 3⟩, + ⟨7275, 14636866297946386, .k4 0 [0, 1, 4, 2, 6] 1 4 5 6⟩ ], [ - { origin := 620 - mask := 49698887648149504 - certificate := .k4 4 [4, 5, 6] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 876 - mask := 10038160654360 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2156 - mask := 2594286690635899904 - certificate := .k4 1 [1, 5, 7, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4716 - mask := 88416481992970 - certificate := .k4 0 [0, 1, 3, 4, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6252 - mask := 143628013020434 - certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨620, 49698887648149504, .k4 4 [4, 5, 6] 4 5 6 7⟩, + ⟨876, 10038160654360, .k4 0 [0, 3, 4, 5] 0 3 4 5⟩, + ⟨2156, 2594286690635899904, .k4 1 [1, 5, 7, 2] 1 2 5 6⟩, + ⟨4716, 88416481992970, .k4 0 [0, 1, 3, 4, 5] 1 4 5 6⟩, ], [ - { origin := 109 - mask := 76162655059968 - certificate := .sharedThree 4 5 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 621 - mask := 49751664206282752 - certificate := .k4 4 [4, 6, 5] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 877 - mask := 10068225425432 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1133 - mask := 5348308025360658 - certificate := .k4 0 [0, 1, 6, 4] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1389 - mask := 15850870474276864 - certificate := .k4 3 [3, 6, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1645 - mask := 152456608622592 - certificate := .k4 1 [1, 3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3437 - mask := 9658291332343808 - certificate := .k4 1 [1, 6, 5, 4, 3] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨621, 49751664206282752, .k4 4 [4, 6, 5] 4 5 6 7⟩, + ⟨877, 10068225425432, .k4 0 [0, 3, 4, 5] 0 3 4 5⟩, + ⟨1133, 5348308025360658, .k4 0 [0, 1, 6, 4] 0 1 4 6⟩, + ⟨1389, 15850870474276864, .k4 3 [3, 6, 4, 5] 3 4 5 6⟩, ], [ - { origin := 366 - mask := 7696581403910 - certificate := .k4 0 [0, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 622 - mask := 49768981514420224 - certificate := .k4 4 [4, 5, 6] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 878 - mask := 10072251957272 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1134 - mask := 5629525309408256 - certificate := .k4 1 [1, 2, 4, 6] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1390 - mask := 216172782122402054 - certificate := .k4 0 [0, 1, 2, 7] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨366, 7696581403910, .k4 0 [0, 1, 5] 0 1 2 5⟩, + ⟨622, 49768981514420224, .k4 4 [4, 5, 6] 4 5 6 7⟩, + ⟨878, 10072251957272, .k4 0 [0, 3, 4, 5] 0 3 4 5⟩, + ⟨1390, 216172782122402054, .k4 0 [0, 1, 2, 7] 0 1 2 7⟩ ], [ - { origin := 111 - mask := 80264353611776 - certificate := .sharedThree 2 5 0 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 623 - mask := 49769118953373696 - certificate := .k4 4 [4, 6, 5] 4 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 879 - mask := 10072503615512 - certificate := .k4 0 [0, 4, 3, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1391 - mask := 216172784311632138 - certificate := .k4 0 [0, 1, 3, 7] 0 1 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4207 - mask := 2882463232058982424 - certificate := .k4 0 [0, 3, 4, 7, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7279 - mask := 14636977964146966 - certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7535 - mask := 11017229836574 - certificate := .k4 0 [0, 1, 4, 5, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9327 - mask := 10212277459422230 - certificate := .k4 0 [0, 2, 4, 6, 5, 3, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨111, 80264353611776, .sharedThree 2 5 0 3 6⟩, + ⟨623, 49769118953373696, .k4 4 [4, 6, 5] 4 5 6 7⟩, + ⟨879, 10072503615512, .k4 0 [0, 4, 3, 5] 0 3 4 5⟩, + ⟨1391, 216172784311632138, .k4 0 [0, 1, 3, 7] 0 1 3 7⟩, + ⟨4207, 2882463232058982424, .k4 0 [0, 3, 4, 7, 5] 0 3 4 5⟩, + ⟨7279, 14636977964146966, .k4 0 [0, 1, 2, 4, 6] 1 2 5 6⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets13 : Array (List HardEntry) := #[ [ - { origin := 104 - code := 6170944581331856670 - certificate := .residual 3911289779080210 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1128 - code := 5131237749192944670 - certificate := .residual 3793753402863879 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5480 - code := 6428269058399658270 - certificate := .residual 3795948131345666 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5736 - code := 8688943183795184670 - certificate := .residual 3911135697111444 - valid := Certificate.valid_of_validB (by decide) } + ⟨104, 6170944581331856670, .residual 3911289779080210⟩, + ⟨1128, 5131237749192944670, .residual 3793753402863879⟩, + ⟨5480, 6428269058399658270, .residual 3795948131345666⟩, + ⟨5736, 8688943183795184670, .residual 3911135697111444⟩ ], [ - { origin := 105 - code := 7175740154322627870 - certificate := .residual 4403871017683986 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1129 - code := 3713030743370787870 - certificate := .residual 2316368651169889 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5481 - code := 4155790866969780510 - certificate := .residual 3303366918432002 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5737 - code := 6019017377682416670 - certificate := .residual 3885159734774419 - valid := Certificate.valid_of_validB (by decide) } + ⟨105, 7175740154322627870, .residual 4403871017683986⟩, + ⟨1129, 3713030743370787870, .residual 2316368651169889⟩, + ⟨5481, 4155790866969780510, .residual 3303366918432002⟩, + ⟨5737, 6019017377682416670, .residual 3885159734774419⟩ ], [ - { origin := 106 - code := 6026829393289555230 - certificate := .residual 4411569478585479 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1130 - code := 5131169845759994910 - certificate := .residual 346164076884082 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5482 - code := 7364891501338026270 - certificate := .residual 1084199734522800 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5738 - code := 5995936430967874590 - certificate := .residual 3772597165951380 - valid := Certificate.valid_of_validB (by decide) } + ⟨106, 6026829393289555230, .residual 4411569478585479⟩, + ⟨1130, 5131169845759994910, .residual 346164076884082⟩, + ⟨5482, 7364891501338026270, .residual 1084199734522800⟩, + ⟨5738, 5995936430967874590, .residual 3772597165951380⟩ ], [ - { origin := 107 - code := 7175177204402760990 - certificate := .residual 3918988239981703 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1131 - code := 6460928950737792030 - certificate := .residual 4386519886533904 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5483 - code := 7366012866296275230 - certificate := .residual 1084201617241008 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5739 - code := 8657980938202506270 - certificate := .residual 3746621203614355 - valid := Certificate.valid_of_validB (by decide) } + ⟨107, 7175177204402760990, .residual 3918988239981703⟩, + ⟨1131, 6460928950737792030, .residual 4386519886533904⟩, + ⟨5483, 7366012866296275230, .residual 1084201617241008⟩, + ⟨5739, 8657980938202506270, .residual 3746621203614355⟩ ], [ - { origin := 108 - code := 6461140884022897950 - certificate := .residual 1514146473778739 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1132 - code := 6171858560587361310 - certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 6, 7, 5] 0 1 2 7 4 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5484 - code := 6426025797853896990 - certificate := .residual 3794986058614018 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5740 - code := 8688929985562076190 - certificate := .residual 935818687453107 - valid := Certificate.valid_of_validB (by decide) } + ⟨108, 6461140884022897950, .residual 1514146473778739⟩, + ⟨1132, 6171858560587361310, .hubPentagon 0 [0, 2, 3, 4, 1, 6, 7, 5] 0 1 2 7 4 3⟩, + ⟨5484, 6426025797853896990, .residual 3794986058614018⟩, + ⟨5740, 8688929985562076190, .residual 935818687453107⟩ ], [ - { origin := 109 - code := 6171789023190723870 - certificate := .residual 1765384611160916 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1133 - code := 3148396187577707550 - certificate := .residual 768641746508722 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5485 - code := 7366004198549479710 - certificate := .residual 1092980530566064 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5741 - code := 6166510004257612830 - certificate := .residual 4408277385956864 - valid := Certificate.valid_of_validB (by decide) } + ⟨109, 6171789023190723870, .residual 1765384611160916⟩, + ⟨1133, 3148396187577707550, .residual 768641746508722⟩, + ⟨5485, 7366004198549479710, .residual 1092980530566064⟩, + ⟨5741, 6166510004257612830, .residual 4408277385956864⟩ ], [ - { origin := 110 - code := 7681264814197320990 - certificate := .residual 1514161535524403 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1134 - code := 3141636390559902750 - certificate := .residual 1202449987870545 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5486 - code := 4158033476963262750 - certificate := .residual 3302404845700354 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5742 - code := 5590049226419266590 - certificate := .residual 2308685135053024 - valid := Certificate.valid_of_validB (by decide) } + ⟨110, 7681264814197320990, .residual 1514161535524403⟩, + ⟨1134, 3141636390559902750, .residual 1202449987870545⟩, + ⟨5486, 4158033476963262750, .residual 3302404845700354⟩, + ⟨5742, 5590049226419266590, .residual 2308685135053024⟩ ], [ - { origin := 111 - code := 7391912953365146910 - certificate := .residual 1765399672906580 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1135 - code := 6032721106497530910 - certificate := .residual 1342760365907412 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5487 - code := 7362639556066402590 - certificate := .residual 1092978647847856 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5743 - code := 5157703687961502750 - certificate := .residual 4066688967914278 - valid := Certificate.valid_of_validB (by decide) } + ⟨111, 7391912953365146910, .residual 1765399672906580⟩, + ⟨1135, 6032721106497530910, .residual 1342760365907412⟩, + ⟨5487, 7362639556066402590, .residual 1092978647847856⟩, + ⟨5743, 5157703687961502750, .residual 4066688967914278⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData14.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData14.lean index 296d02228..d756afd35 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData14.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData14.lean @@ -13,412 +13,117 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets14 : Array (List PatternEntry) := #[ [ - { origin := 112 - mask := 80577881440256 - certificate := .sharedThree 4 5 0 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 880 - mask := 10995219180544 - certificate := .k4 1 [1, 2, 3, 5] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1392 - mask := 216173344754532626 - certificate := .k4 0 [0, 1, 4, 7] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1648 - mask := 153933869809676 - certificate := .k4 0 [0, 2, 3, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3184 - mask := 5348303734703382 - certificate := .k4 0 [0, 1, 4, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4720 - mask := 90301693781012 - certificate := .k4 0 [0, 2, 4, 5, 1] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5744 - mask := 1729382813142810654 - certificate := .k4 0 [0, 2, 4, 7, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9072 - mask := 1700996335034634 - certificate := .k4 0 [0, 1, 5, 6, 2, 4, 3] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10096 - mask := 7244822852912883974 - certificate := .k4 0 [0, 1, 2, 7, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨112, 80577881440256, .sharedThree 4 5 0 3 6⟩, + ⟨1392, 216173344754532626, .k4 0 [0, 1, 4, 7] 0 1 4 7⟩, + ⟨1648, 153933869809676, .k4 0 [0, 2, 3, 5] 2 3 5 7⟩, + ⟨4720, 90301693781012, .k4 0 [0, 2, 4, 5, 1] 1 2 5 6⟩, ], [ - { origin := 369 - mask := 9896228093952 - certificate := .k4 2 [2, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 625 - mask := 504403158274080774 - certificate := .k4 0 [0, 2, 7] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 881 - mask := 10995219573760 - certificate := .k4 1 [1, 3, 5, 2] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1137 - mask := 5629552421765120 - certificate := .k4 2 [2, 4, 6, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1393 - mask := 360287972429463564 - certificate := .k4 0 [0, 2, 3, 7] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2673 - mask := 18833433830678 - certificate := .k4 0 [0, 1, 4, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3185 - mask := 5348303734719510 - certificate := .k4 0 [0, 4, 6, 1, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4209 - mask := 2885331819224393728 - certificate := .k4 1 [1, 5, 6, 7, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5745 - mask := 1729382813175647518 - certificate := .k4 0 [0, 1, 4, 7, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8561 - mask := 432345603193340190 - certificate := .k4 0 [0, 1, 4, 7, 3, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨625, 504403158274080774, .k4 0 [0, 2, 7] 0 1 2 7⟩, + ⟨881, 10995219573760, .k4 1 [1, 3, 5, 2] 1 2 3 5⟩, + ⟨1137, 5629552421765120, .k4 2 [2, 4, 6, 3] 2 3 4 6⟩, + ⟨1393, 360287972429463564, .k4 0 [0, 2, 3, 7] 0 2 3 7⟩, + ⟨2673, 18833433830678, .k4 0 [0, 1, 4, 2, 5] 0 1 2 5⟩, + ⟨3185, 5348303734719510, .k4 0 [0, 4, 6, 1, 2] 0 1 2 6⟩, + ⟨4209, 2885331819224393728, .k4 1 [1, 5, 6, 7, 3] 1 3 5 6⟩, + ⟨8561, 432345603193340190, .k4 0 [0, 1, 4, 7, 3, 2] 0 1 2 3⟩ ], [ - { origin := 114 - mask := 89060447158272 - certificate := .sharedThree 2 5 0 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 882 - mask := 10995722497024 - certificate := .k4 1 [1, 2, 5, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1138 - mask := 5629783007446016 - certificate := .k4 1 [1, 2, 6, 4] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1394 - mask := 360288541428744212 - certificate := .k4 0 [0, 2, 4, 7] 0 2 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1906 - mask := 11821949609074954 - certificate := .k4 0 [0, 1, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2674 - mask := 18833433895958 - certificate := .k4 0 [0, 2, 4, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5746 - mask := 1729382817421525022 - certificate := .k4 0 [0, 2, 3, 7, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6514 - mask := 3399854544519168 - certificate := .k4 2 [2, 5, 6, 4, 3] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7282 - mask := 14636990850097414 - certificate := .k4 0 [0, 1, 2, 4, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7794 - mask := 149555621569560 - certificate := .k4 0 [0, 3, 4, 5, 2, 1] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨114, 89060447158272, .sharedThree 2 5 0 4 6⟩, + ⟨882, 10995722497024, .k4 1 [1, 2, 5, 3] 1 2 3 5⟩, + ⟨1138, 5629783007446016, .k4 1 [1, 2, 6, 4] 1 2 4 6⟩, + ⟨1394, 360288541428744212, .k4 0 [0, 2, 4, 7] 0 2 4 7⟩, + ⟨1906, 11821949609074954, .k4 0 [0, 1, 3, 6] 1 3 5 6⟩, + ⟨5746, 1729382817421525022, .k4 0 [0, 2, 3, 7, 4] 0 1 2 4⟩, + ⟨6514, 3399854544519168, .k4 2 [2, 5, 6, 4, 3] 1 2 3 4⟩, + ⟨7282, 14636990850097414, .k4 0 [0, 1, 2, 4, 6] 1 2 5 6⟩, + ⟨7794, 149555621569560, .k4 0 [0, 3, 4, 5, 2, 1] 1 2 5 7⟩ ], [ - { origin := 115 - mask := 89061800804352 - certificate := .sharedThree 3 5 0 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 371 - mask := 12094627916042 - certificate := .k4 0 [0, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 627 - mask := 792633536615022602 - certificate := .k4 0 [0, 3, 7] 0 1 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1139 - mask := 5629800183120896 - certificate := .k4 1 [1, 2, 4, 6] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1395 - mask := 648518936916131864 - certificate := .k4 0 [0, 3, 4, 7] 0 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2675 - mask := 18833434871062 - certificate := .k4 0 [0, 1, 4, 2, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4211 - mask := 2892093816272087040 - certificate := .k4 1 [1, 6, 5, 7, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6515 - mask := 3399871523586048 - certificate := .k4 2 [2, 5, 6, 4, 3] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7283 - mask := 14636992477855756 - certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8563 - mask := 432345607472054558 - certificate := .k4 0 [0, 1, 3, 7, 4, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨115, 89061800804352, .sharedThree 3 5 0 4 6⟩, + ⟨371, 12094627916042, .k4 0 [0, 1, 5] 0 1 3 5⟩, + ⟨627, 792633536615022602, .k4 0 [0, 3, 7] 0 1 3 7⟩, + ⟨1139, 5629800183120896, .k4 1 [1, 2, 4, 6] 1 2 4 6⟩, + ⟨1395, 648518936916131864, .k4 0 [0, 3, 4, 7] 0 3 4 7⟩, + ⟨4211, 2892093816272087040, .k4 1 [1, 6, 5, 7, 3] 1 3 5 6⟩, + ⟨6515, 3399871523586048, .k4 2 [2, 5, 6, 4, 3] 1 2 3 4⟩, + ⟨7283, 14636992477855756, .k4 0 [0, 2, 3, 4, 6] 2 3 5 6⟩, + ⟨8563, 432345607472054558, .k4 0 [0, 1, 3, 7, 4, 2] 0 1 2 4⟩ ], [ - { origin := 116 - mask := 144036031823872 - certificate := .sharedThree 2 5 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 372 - mask := 12095215108106 - certificate := .k4 0 [0, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 628 - mask := 936748722502041612 - certificate := .k4 0 [0, 2, 7] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1908 - mask := 11821950135577600 - certificate := .k4 1 [1, 2, 3, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2420 - mask := 51825476894 - certificate := .k4 0 [0, 1, 3, 2, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4212 - mask := 2892656766232297472 - certificate := .k4 2 [2, 6, 5, 7, 3] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5236 - mask := 9570149264878604 - certificate := .k4 0 [0, 2, 3, 1, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6516 - mask := 3404253125804032 - certificate := .k4 2 [2, 6, 3, 5, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7284 - mask := 14637009925111820 - certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨116, 144036031823872, .sharedThree 2 5 0 1 7⟩, + ⟨372, 12095215108106, .k4 0 [0, 3, 5] 0 1 3 5⟩, + ⟨628, 936748722502041612, .k4 0 [0, 2, 7] 0 2 3 7⟩, + ⟨5236, 9570149264878604, .k4 0 [0, 2, 3, 1, 6] 1 2 5 6⟩, + ⟨6516, 3404253125804032, .k4 2 [2, 6, 3, 5, 4] 1 2 3 4⟩, + ⟨7284, 14637009925111820, .k4 0 [0, 2, 3, 4, 6] 2 3 5 6⟩ ], [ - { origin := 117 - mask := 144038221053952 - certificate := .sharedThree 3 5 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 373 - mask := 14293653848076 - certificate := .k4 0 [0, 2, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 629 - mask := 936748724724432908 - certificate := .k4 0 [0, 3, 7] 0 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 885 - mask := 10995756442624 - certificate := .k4 1 [1, 5, 3, 2] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1653 - mask := 154655668043776 - certificate := .k4 2 [2, 3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1909 - mask := 11821950649248010 - certificate := .k4 0 [0, 1, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2165 - mask := 2703779357062594560 - certificate := .k4 2 [2, 6, 7, 5] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3445 - mask := 9659222534938898 - certificate := .k4 0 [0, 1, 4, 6, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4213 - mask := 2893714496444981248 - certificate := .k4 1 [1, 5, 7, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4469 - mask := 13220466262046 - certificate := .k4 0 [0, 3, 5, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5237 - mask := 9570149299020042 - certificate := .k4 0 [0, 1, 3, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6517 - mask := 3404270104870912 - certificate := .k4 2 [2, 6, 3, 5, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨117, 144038221053952, .sharedThree 3 5 0 1 7⟩, + ⟨373, 14293653848076, .k4 0 [0, 2, 5] 0 2 3 5⟩, + ⟨629, 936748724724432908, .k4 0 [0, 3, 7] 0 2 3 7⟩, + ⟨1909, 11821950649248010, .k4 0 [0, 1, 3, 6] 1 3 5 6⟩, + ⟨2165, 2703779357062594560, .k4 2 [2, 6, 7, 5] 0 5 6 7⟩, + ⟨3445, 9659222534938898, .k4 0 [0, 1, 4, 6, 5] 0 1 4 5⟩, + ⟨4213, 2893714496444981248, .k4 1 [1, 5, 7, 3, 6] 1 3 5 6⟩, + ⟨4469, 13220466262046, .k4 0 [0, 3, 5, 2, 4] 0 1 2 4⟩, + ⟨6517, 3404270104870912, .k4 2 [2, 6, 3, 5, 4] 1 2 3 4⟩ ], [ - { origin := 118 - mask := 144598663954432 - certificate := .sharedThree 4 5 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 374 - mask := 14294271918092 - certificate := .k4 0 [0, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1142 - mask := 5629809918476288 - certificate := .k4 2 [2, 3, 6, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3190 - mask := 5348304837691418 - certificate := .k4 0 [0, 4, 6, 1, 3] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5238 - mask := 9570150835776524 - certificate := .k4 0 [0, 2, 3, 1, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨118, 144598663954432, .sharedThree 4 5 0 1 7⟩, + ⟨374, 14294271918092, .k4 0 [0, 3, 5] 0 2 3 5⟩, + ⟨1142, 5629809918476288, .k4 2 [2, 3, 6, 4] 2 3 4 6⟩, + ⟨3190, 5348304837691418, .k4 0 [0, 4, 6, 1, 3] 0 1 3 6⟩, + ⟨5238, 9570150835776524, .k4 0 [0, 2, 3, 1, 6] 1 3 5 6⟩ ], [ - { origin := 631 - mask := 1369094849361346578 - certificate := .k4 0 [0, 4, 7] 0 1 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1143 - mask := 5629827094151168 - certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4215 - mask := 2893730302159486976 - certificate := .k4 3 [3, 6, 7, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7799 - mask := 149573052113940 - certificate := .k4 0 [0, 2, 4, 1, 3, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨631, 1369094849361346578, .k4 0 [0, 4, 7] 0 1 4 7⟩, + ⟨1143, 5629827094151168, .k4 2 [2, 3, 4, 6] 2 3 4 6⟩, + ⟨7799, 149573052113940, .k4 0 [0, 2, 4, 1, 3, 5] 1 2 5 7⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets14 : Array (List HardEntry) := #[ [ - { origin := 1136 - code := 3140087176546053150 - certificate := .residual 1704648176168674 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5488 - code := 5128989379177079070 - certificate := .residual 201441638627824 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5744 - code := 4147200936674780190 - certificate := .residual 4348749135579527 - valid := Certificate.valid_of_validB (by decide) } + ⟨1136, 3140087176546053150, .residual 1704648176168674⟩, + ⟨5488, 5128989379177079070, .residual 201441638627824⟩, + ⟨5744, 4147200936674780190, .residual 4348749135579527⟩ ], [ - { origin := 1137 - code := 3148743769030487070 - certificate := .residual 235185532687729 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5489 - code := 2860997195188527390 - certificate := .residual 192662714464752 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5745 - code := 4147065129808880670 - certificate := .residual 338600849211634 - valid := Certificate.valid_of_validB (by decide) } + ⟨1137, 3148743769030487070, .residual 235185532687729⟩, + ⟨5489, 2860997195188527390, .residual 192662714464752⟩, + ⟨5745, 4147065129808880670, .residual 338600849211634⟩ ], [ - { origin := 1138 - code := 8192828562639252510 - certificate := .residual 3792565844454918 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5490 - code := 5131232109093576990 - certificate := .residual 201443517733360 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5746 - code := 5563521979407590430 - certificate := .residual 2308685135053025 - valid := Certificate.valid_of_validB (by decide) } + ⟨1138, 8192828562639252510, .residual 3792565844454918⟩, + ⟨5490, 5131232109093576990, .residual 201443517733360⟩, + ⟨5746, 5563521979407590430, .residual 2308685135053025⟩ ], [ - { origin := 1139 - code := 8154843163203824670 - certificate := .residual 1831596634339923 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5491 - code := 7364878298609475870 - certificate := .residual 3792821395080713 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5747 - code := 5131245298419164190 - certificate := .residual 1076521948190643 - valid := Certificate.valid_of_validB (by decide) } + ⟨1139, 8154843163203824670, .residual 1831596634339923⟩, + ⟨5491, 7364878298609475870, .residual 3792821395080713⟩, + ⟨5747, 5131245298419164190, .residual 1076521948190643⟩ ], [ - { origin := 1140 - code := 4149440763195386910 - certificate := .residual 2924577021592352 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5492 - code := 7362635294888812830 - certificate := .residual 3792821395080712 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5748 - code := 8661360575725102110 - certificate := .residual 3299969599098368 - valid := Certificate.valid_of_validB (by decide) } + ⟨1140, 4149440763195386910, .residual 2924577021592352⟩, + ⟨5492, 7362635294888812830, .residual 3792821395080712⟩, + ⟨5748, 8661360575725102110, .residual 3299969599098368⟩ ], [ - { origin := 1141 - code := 7149979562712591390 - certificate := .residual 3302014003546497 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5493 - code := 2858753780761616670 - certificate := .residual 192664593570288 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5749 - code := 8661351754097157150 - certificate := .residual 2308925686251744 - valid := Certificate.valid_of_validB (by decide) } + ⟨1141, 7149979562712591390, .residual 3302014003546497⟩, + ⟨5493, 2858753780761616670, .residual 192664593570288⟩, + ⟨5749, 8661351754097157150, .residual 2308925686251744⟩ ], [ - { origin := 1142 - code := 7149910564062981150 - certificate := .residual 3303126400255365 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5494 - code := 7364878161707393310 - certificate := .residual 3300240182167048 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5750 - code := 8661345182797194270 - certificate := .residual 2941063806858022 - valid := Certificate.valid_of_validB (by decide) } + ⟨1142, 7149910564062981150, .residual 3303126400255365⟩, + ⟨5494, 7364878161707393310, .residual 3300240182167048⟩, + ⟨5750, 8661345182797194270, .residual 2941063806858022⟩ ], [ - { origin := 1143 - code := 8184102838881315870 - certificate := .residual 3893560959063440 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5495 - code := 7362635157986730270 - certificate := .residual 3300240182167049 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5751 - code := 8155343033993978910 - certificate := .residual 3363586684062087 - valid := Certificate.valid_of_validB (by decide) } + ⟨1143, 8184102838881315870, .residual 3893560959063440⟩, + ⟨5495, 7362635157986730270, .residual 3300240182167049⟩, + ⟨5751, 8155343033993978910, .residual 3363586684062087⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData15.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData15.lean index ced0416b7..e63f5b5c1 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData15.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData15.lean @@ -13,328 +13,104 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets15 : Array (List PatternEntry) := #[ [ - { origin := 120 - mask := 146237277863936 - certificate := .sharedThree 3 5 0 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 632 - mask := 1513209474805989396 - certificate := .k4 0 [0, 2, 7] 0 2 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1144 - mask := 5629827295477760 - certificate := .k4 2 [2, 4, 3, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1656 - mask := 158484304929792 - certificate := .k4 1 [1, 2, 4, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6008 - mask := 20890808492318 - certificate := .k4 0 [0, 1, 3, 5, 2] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨120, 146237277863936, .sharedThree 3 5 0 2 7⟩, + ⟨632, 1513209474805989396, .k4 0 [0, 2, 7] 0 2 4 7⟩, + ⟨1144, 5629827295477760, .k4 2 [2, 4, 3, 6] 2 3 4 6⟩, + ⟨1656, 158484304929792, .k4 1 [1, 2, 4, 5] 1 2 5 7⟩, + ⟨6008, 20890808492318, .k4 0 [0, 1, 3, 5, 2] 0 2 4 5⟩ ], [ - { origin := 121 - mask := 146806277144576 - certificate := .sharedThree 4 5 0 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 633 - mask := 1513210046027137044 - certificate := .k4 0 [0, 4, 7] 0 2 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1145 - mask := 5629827298623488 - certificate := .k4 2 [2, 6, 4, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1401 - mask := 353502494 - certificate := .k4 0 [0, 1, 3, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5753 - mask := 2424488010436453376 - certificate := .k4 1 [1, 2, 5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6009 - mask := 20891593941278 - certificate := .k4 0 [0, 1, 2, 5, 3] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨121, 146806277144576, .sharedThree 4 5 0 2 7⟩, + ⟨633, 1513210046027137044, .k4 0 [0, 4, 7] 0 2 4 7⟩, + ⟨1145, 5629827298623488, .k4 2 [2, 6, 4, 3] 2 3 4 6⟩, + ⟨1401, 353502494, .k4 0 [0, 1, 3, 2] 0 2 3 4⟩, + ⟨6009, 20891593941278, .k4 0 [0, 1, 2, 5, 3] 0 3 4 5⟩ ], [ - { origin := 634 - mask := 1801439853380894744 - certificate := .k4 0 [0, 3, 7] 0 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1146 - mask := 5704420951064576 - certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3962 - mask := 432351061796364550 - certificate := .k4 0 [0, 1, 7, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4218 - mask := 2896034912622608384 - certificate := .k4 3 [3, 7, 5, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5242 - mask := 9570170690494738 - certificate := .k4 0 [0, 1, 4, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨634, 1801439853380894744, .k4 0 [0, 3, 7] 0 3 4 7⟩, + ⟨1146, 5704420951064576, .k4 2 [2, 4, 5, 6] 2 4 5 6⟩, + ⟨3962, 432351061796364550, .k4 0 [0, 1, 7, 2, 5] 0 1 2 5⟩, + ⟨4218, 2896034912622608384, .k4 3 [3, 7, 5, 6, 4] 3 4 5 6⟩, + ⟨5242, 9570170690494738, .k4 0 [0, 1, 4, 6, 2] 1 2 5 6⟩ ], [ - { origin := 123 - mask := 150633101983744 - certificate := .sharedThree 2 5 0 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 379 - mask := 21041044783122 - certificate := .k4 0 [0, 4, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 635 - mask := 1801440439358717976 - certificate := .k4 0 [0, 4, 7] 0 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3195 - mask := 5348316620539142 - certificate := .k4 0 [0, 1, 6, 4, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4219 - mask := 2898225002077749248 - certificate := .k4 3 [3, 4, 7, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨123, 150633101983744, .sharedThree 2 5 0 3 7⟩, + ⟨635, 1801440439358717976, .k4 0 [0, 4, 7] 0 3 4 7⟩, + ⟨3195, 5348316620539142, .k4 0 [0, 1, 6, 4, 2] 0 1 2 6⟩, + ⟨4219, 2898225002077749248, .k4 3 [3, 4, 7, 6, 5] 3 4 5 6⟩ ], [ - { origin := 124 - mask := 151221503524864 - certificate := .sharedThree 4 5 0 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 380 - mask := 23089747394580 - certificate := .k4 0 [0, 2, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 636 - mask := 2423430280246198272 - certificate := .k4 5 [5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 892 - mask := 12094678245642 - certificate := .k4 0 [0, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1148 - mask := 5704695824777216 - certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1404 - mask := 21476412702 - certificate := .k4 0 [0, 1, 4, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2172 - mask := 2882451098826714112 - certificate := .k4 1 [1, 5, 7, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2428 - mask := 51875808542 - certificate := .k4 0 [0, 1, 2, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨124, 151221503524864, .sharedThree 4 5 0 3 7⟩, + ⟨380, 23089747394580, .k4 0 [0, 2, 5] 0 2 4 5⟩, + ⟨636, 2423430280246198272, .k4 5 [5, 6, 7] 0 5 6 7⟩, + ⟨892, 12094678245642, .k4 0 [0, 1, 3, 5] 0 1 3 5⟩, + ⟨1404, 21476412702, .k4 0 [0, 1, 4, 2] 0 1 2 3⟩, ], [ - { origin := 381 - mask := 23248657973268 - certificate := .k4 0 [0, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 637 - mask := 2449958197300208640 - certificate := .k4 1 [1, 2, 7] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 893 - mask := 12094678247434 - certificate := .k4 0 [0, 3, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1405 - mask := 21593456670 - certificate := .k4 0 [0, 3, 4, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨381, 23248657973268, .k4 0 [0, 4, 5] 0 2 4 5⟩, + ⟨637, 2449958197300208640, .k4 1 [1, 2, 7] 1 2 5 7⟩, + ⟨893, 12094678247434, .k4 0 [0, 3, 1, 5] 0 1 3 5⟩, + ⟨1405, 21593456670, .k4 0 [0, 3, 4, 2] 0 1 2 3⟩ ], [ - { origin := 126 - mask := 159429195530240 - certificate := .sharedThree 2 5 0 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 382 - mask := 27488612778008 - certificate := .k4 0 [0, 3, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1150 - mask := 5717615090597888 - certificate := .k4 2 [2, 4, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1406 - mask := 26089685022 - certificate := .k4 0 [0, 2, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4222 - mask := 3458911440357883924 - certificate := .k4 0 [0, 2, 4, 7, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7038 - mask := 11350260412588314 - certificate := .k4 0 [0, 1, 5, 6, 3] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨126, 159429195530240, .sharedThree 2 5 0 4 7⟩, + ⟨382, 27488612778008, .k4 0 [0, 3, 5] 0 3 4 5⟩, + ⟨1150, 5717615090597888, .k4 2 [2, 4, 6, 5] 2 4 5 6⟩, + ⟨1406, 26089685022, .k4 0 [0, 2, 3, 4] 0 1 3 4⟩, + ⟨7038, 11350260412588314, .k4 0 [0, 1, 5, 6, 3] 0 3 4 5⟩ ], [ - { origin := 127 - mask := 159431618723840 - certificate := .sharedThree 3 5 0 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 383 - mask := 27663884353560 - certificate := .k4 0 [0, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 895 - mask := 12095181563914 - certificate := .k4 0 [0, 3, 5, 1] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1663 - mask := 161091338412306 - certificate := .k4 0 [0, 1, 4, 5] 1 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2175 - mask := 2882466492194488320 - certificate := .k4 2 [2, 5, 7, 3] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3199 - mask := 5629783007364374 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3967 - mask := 433189989170398214 - certificate := .k4 0 [0, 2, 7, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4991 - mask := 167822105813258 - certificate := .k4 0 [0, 1, 3, 5, 4] 1 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5247 - mask := 9570604759933194 - certificate := .k4 0 [0, 1, 3, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨127, 159431618723840, .sharedThree 3 5 0 4 7⟩, + ⟨383, 27663884353560, .k4 0 [0, 4, 5] 0 3 4 5⟩, + ⟨895, 12095181563914, .k4 0 [0, 3, 5, 1] 0 1 3 5⟩, + ⟨1663, 161091338412306, .k4 0 [0, 1, 4, 5] 1 4 5 7⟩, + ⟨2175, 2882466492194488320, .k4 2 [2, 5, 7, 3] 2 3 4 5⟩, + ⟨3199, 5629783007364374, .k4 0 [0, 1, 2, 6, 4] 0 1 2 4⟩, + ⟨4991, 167822105813258, .k4 0 [0, 1, 3, 5, 4] 1 4 5 7⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets15 : Array (List HardEntry) := #[ [ - { origin := 1144 - code := 7149908365073280030 - certificate := .residual 1886795562547506 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5496 - code := 8686693566026277150 - certificate := .residual 3917034029789442 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5752 - code := 4149307722823296030 - certificate := .residual 2308925686251745 - valid := Certificate.valid_of_validB (by decide) } + ⟨1144, 7149908365073280030, .residual 1886795562547506⟩, + ⟨5496, 8686693566026277150, .residual 3917034029789442⟩, + ⟨5752, 4149307722823296030, .residual 2308925686251745⟩ ], [ - { origin := 1145 - code := 5996973786585984030 - certificate := .residual 1342760365907409 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5497 - code := 6455296733343310110 - certificate := .residual 3915816406444552 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5753 - code := 6137730521191080990 - certificate := .residual 338360298012914 - valid := Certificate.valid_of_validB (by decide) } + ⟨1145, 5996973786585984030, .residual 1342760365907409⟩, + ⟨5497, 6455296733343310110, .residual 3915816406444552⟩, + ⟨5753, 6137730521191080990, .residual 338360298012914⟩ ], [ - { origin := 1146 - code := 4158097218777738270 - certificate := .residual 4348869394664715 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5498 - code := 6168192257098440990 - certificate := .residual 3915816406444553 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5754 - code := 5442556364409922590 - certificate := .residual 3885022564084371 - valid := Certificate.valid_of_validB (by decide) } + ⟨1146, 4158097218777738270, .residual 4348869394664715⟩, + ⟨5498, 6168192257098440990, .residual 3915816406444553⟩, + ⟨5754, 5442556364409922590, .residual 3885022564084371⟩ ], [ - { origin := 1147 - code := 3870922648666598430 - certificate := .residual 3608201016170016 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5499 - code := 3860667132533203230 - certificate := .residual 349873322198512 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5755 - code := 5417224003053020190 - certificate := .residual 3763801341077908 - valid := Certificate.valid_of_validB (by decide) } + ⟨1147, 3870922648666598430, .residual 3608201016170016⟩, + ⟨5499, 3860667132533203230, .residual 349873322198512⟩, + ⟨5755, 5417224003053020190, .residual 3763801341077908⟩ ], [ - { origin := 1148 - code := 3148391789498035230 - certificate := .residual 1823073397568305 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5500 - code := 5997058082598478110 - certificate := .residual 342178590499312 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5756 - code := 8686681890678236190 - certificate := .residual 3902339872237972 - valid := Certificate.valid_of_validB (by decide) } + ⟨1148, 3148391789498035230, .residual 1823073397568305⟩, + ⟨5500, 5997058082598478110, .residual 342178590499312⟩, + ⟨5756, 8686681890678236190, .residual 3902339872237972⟩ ], [ - { origin := 1149 - code := 8154776094017940510 - certificate := .residual 1814279334589236 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5501 - code := 4147204235209662750 - certificate := .residual 4348869394664706 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5757 - code := 8657971881140413470 - certificate := .residual 3746484032924307 - valid := Certificate.valid_of_validB (by decide) } + ⟨1149, 8154776094017940510, .residual 1814279334589236⟩, + ⟨5501, 4147204235209662750, .residual 4348869394664706⟩, + ⟨5757, 8657971881140413470, .residual 3746484032924307⟩ ], [ - { origin := 1150 - code := 7149910427160898590 - certificate := .residual 2120263579856577 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5502 - code := 4149308146414444830 - certificate := .residual 2042202262924882 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5758 - code := 6164258461135856670 - certificate := .residual 1746834693087456 - valid := Certificate.valid_of_validB (by decide) } + ⟨1150, 7149910427160898590, .residual 2120263579856577⟩, + ⟨5502, 4149308146414444830, .residual 2042202262924882⟩, + ⟨5758, 6164258461135856670, .residual 1746834693087456⟩ ], [ - { origin := 1151 - code := 8192759294463667230 - certificate := .residual 1839033866255040 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5503 - code := 4147065142693781790 - certificate := .residual 3919108499073164 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5759 - code := 5587797683297510430 - certificate := .residual 4408292418399744 - valid := Certificate.valid_of_validB (by decide) } + ⟨1151, 8192759294463667230, .residual 1839033866255040⟩, + ⟨5503, 4147065142693781790, .residual 3919108499073164⟩, + ⟨5759, 5587797683297510430, .residual 4408292418399744⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData16.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData16.lean index 52ae82c2d..570de3b60 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData16.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData16.lean @@ -13,384 +13,112 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets16 : Array (List PatternEntry) := #[ [ - { origin := 128 - mask := 212205744210176 - certificate := .sharedThree 1 5 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 384 - mask := 72567773881344 - certificate := .k4 1 [1, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 640 - mask := 2450105531858288640 - certificate := .k4 2 [2, 5, 7] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1152 - mask := 5717889964310528 - certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1408 - mask := 30115105822 - certificate := .k4 0 [0, 3, 4, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3968 - mask := 433752939123884294 - certificate := .k4 0 [0, 1, 7, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4224 - mask := 3458915838688493592 - certificate := .k4 0 [0, 3, 4, 7, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5504 - mask := 11898967217405952 - certificate := .k4 2 [2, 4, 5, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨128, 212205744210176, .sharedThree 1 5 0 6 7⟩, + ⟨384, 72567773881344, .k4 1 [1, 2, 5] 1 2 5 6⟩, + ⟨1152, 5717889964310528, .k4 2 [2, 4, 5, 6] 2 4 5 6⟩, + ⟨1408, 30115105822, .k4 0 [0, 3, 4, 1] 0 1 2 4⟩, + ⟨3968, 433752939123884294, .k4 0 [0, 1, 7, 2, 6] 0 1 2 6⟩, + ⟨4224, 3458915838688493592, .k4 0 [0, 3, 4, 7, 5] 0 3 4 5⟩, ], [ - { origin := 129 - mask := 212205756809216 - certificate := .sharedThree 2 5 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 385 - mask := 72569411627008 - certificate := .k4 1 [1, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 897 - mask := 12095198339338 - certificate := .k4 0 [0, 1, 5, 3] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1153 - mask := 5717889967456256 - certificate := .k4 2 [2, 6, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1409 - mask := 30149312542 - certificate := .k4 0 [0, 3, 4, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1921 - mask := 12384900118897664 - certificate := .k4 1 [1, 2, 3, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2177 - mask := 2882514871541327872 - certificate := .k4 1 [1, 3, 7, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5249 - mask := 9644916001557518 - certificate := .k4 0 [0, 2, 5, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨129, 212205756809216, .sharedThree 2 5 0 6 7⟩, + ⟨385, 72569411627008, .k4 1 [1, 3, 5] 1 3 5 6⟩, + ⟨897, 12095198339338, .k4 0 [0, 1, 5, 3] 0 1 3 5⟩, + ⟨1409, 30149312542, .k4 0 [0, 3, 4, 2] 0 1 2 4⟩, + ⟨2177, 2882514871541327872, .k4 1 [1, 3, 7, 5] 1 3 5 6⟩, ], [ - { origin := 130 - mask := 212208982163456 - certificate := .sharedThree 3 5 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 642 - mask := 2450119421771907072 - certificate := .k4 4 [4, 5, 7] 1 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1154 - mask := 5910995990020116 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1410 - mask := 38957416478 - certificate := .k4 0 [0, 2, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3202 - mask := 5629787302266134 - certificate := .k4 0 [0, 1, 4, 6, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4994 - mask := 167830723103744 - certificate := .k4 1 [1, 2, 3, 5, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6530 - mask := 5066828804670494 - certificate := .k4 0 [0, 3, 4, 6, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8578 - mask := 720575964103475486 - certificate := .k4 0 [0, 1, 4, 7, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨130, 212208982163456, .sharedThree 3 5 0 6 7⟩, + ⟨642, 2450119421771907072, .k4 4 [4, 5, 7] 1 4 5 7⟩, + ⟨1410, 38957416478, .k4 0 [0, 2, 4, 3] 0 1 2 3⟩, + ⟨3202, 5629787302266134, .k4 0 [0, 1, 4, 6, 2] 0 1 2 4⟩, + ⟨6530, 5066828804670494, .k4 0 [0, 3, 4, 6, 1, 2] 0 1 2 3⟩, + ⟨8578, 720575964103475486, .k4 0 [0, 1, 4, 7, 2, 3] 0 1 2 3⟩ ], [ - { origin := 131 - mask := 213034672848896 - certificate := .sharedThree 4 5 0 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 387 - mask := 74766797136896 - certificate := .k4 1 [1, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 643 - mask := 2594073385376064512 - certificate := .k4 1 [1, 2, 7] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1155 - mask := 5910995991003156 - certificate := .k4 0 [0, 4, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1411 - mask := 38990253342 - certificate := .k4 0 [0, 1, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4739 - mask := 92500715070484 - certificate := .k4 0 [0, 2, 4, 1, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8579 - mask := 720575968599703838 - certificate := .k4 0 [0, 1, 2, 7, 4, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨131, 213034672848896, .sharedThree 4 5 0 6 7⟩, + ⟨387, 74766797136896, .k4 1 [1, 2, 5] 1 2 5 6⟩, + ⟨643, 2594073385376064512, .k4 1 [1, 2, 7] 1 2 5 7⟩, + ⟨1155, 5910995991003156, .k4 0 [0, 4, 2, 6] 0 2 4 6⟩, + ⟨1411, 38990253342, .k4 0 [0, 1, 4, 3] 0 1 2 3⟩, + ⟨4739, 92500715070484, .k4 0 [0, 2, 4, 1, 5] 1 2 5 6⟩, ], [ - { origin := 132 - mask := 213305268502528 - certificate := .sharedThree 2 5 1 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 900 - mask := 13194712720384 - certificate := .k4 1 [1, 2, 5, 3] 1 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1156 - mask := 5911253684912148 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1924 - mask := 12385346529001472 - certificate := .k4 2 [2, 3, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2180 - mask := 2882517070531028992 - certificate := .k4 1 [1, 5, 7, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4484 - mask := 19932943821854 - certificate := .k4 0 [0, 2, 4, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4996 - mask := 1688850151260446 - certificate := .k4 0 [0, 1, 3, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7300 - mask := 14991020705997846 - certificate := .k4 0 [0, 4, 6, 5, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7812 - mask := 158471503389720 - certificate := .k4 0 [0, 3, 4, 2, 5, 1] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨132, 213305268502528, .sharedThree 2 5 1 6 7⟩, + ⟨900, 13194712720384, .k4 1 [1, 2, 5, 3] 1 2 3 5⟩, + ⟨1156, 5911253684912148, .k4 0 [0, 2, 4, 6] 0 2 4 6⟩, + ⟨2180, 2882517070531028992, .k4 1 [1, 5, 7, 3] 1 3 5 6⟩, + ⟨4484, 19932943821854, .k4 0 [0, 2, 4, 5, 1] 0 1 2 3⟩, + ⟨7300, 14991020705997846, .k4 0 [0, 4, 6, 5, 1] 0 1 2 6⟩, + ⟨7812, 158471503389720, .k4 0 [0, 3, 4, 2, 5, 1] 1 2 5 7⟩ ], [ - { origin := 133 - mask := 213308510568448 - certificate := .sharedThree 3 5 1 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 645 - mask := 2594074089751576576 - certificate := .k4 2 [2, 4, 7] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1157 - mask := 5911253689040916 - certificate := .k4 0 [0, 4, 6, 2] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1413 - mask := 43236130846 - certificate := .k4 0 [0, 2, 3, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1669 - mask := 162885101158400 - certificate := .k4 2 [2, 3, 4, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4485 - mask := 19932943887390 - certificate := .k4 0 [0, 4, 5, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10117 - mask := 8108030482475655446 - certificate := .k4 0 [0, 1, 5, 7, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨133, 213308510568448, .sharedThree 3 5 1 6 7⟩, + ⟨1157, 5911253689040916, .k4 0 [0, 4, 6, 2] 0 2 4 6⟩, + ⟨1413, 43236130846, .k4 0 [0, 2, 3, 4] 0 1 2 4⟩, + ⟨1669, 162885101158400, .k4 2 [2, 3, 4, 5] 2 3 5 7⟩, + ⟨4485, 19932943887390, .k4 0 [0, 4, 5, 1, 2] 0 1 2 3⟩, + ⟨10117, 8108030482475655446, .k4 0 [0, 1, 5, 7, 4, 6] 0 2 4 6⟩ ], [ - { origin := 134 - mask := 214138479443968 - certificate := .sharedThree 4 5 1 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 390 - mask := 76965818295296 - certificate := .k4 1 [1, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 646 - mask := 2594220719923569664 - certificate := .k4 1 [1, 5, 7] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1158 - mask := 5911266569814036 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1414 - mask := 47244839966 - certificate := .k4 0 [0, 2, 4, 1] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1670 - mask := 163281783291924 - certificate := .k4 0 [0, 2, 4, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨134, 214138479443968, .sharedThree 4 5 1 6 7⟩, + ⟨390, 76965818295296, .k4 1 [1, 2, 5] 1 2 5 6⟩, + ⟨646, 2594220719923569664, .k4 1 [1, 5, 7] 1 2 5 7⟩, + ⟨1414, 47244839966, .k4 0 [0, 2, 4, 1] 0 1 3 4⟩, + ⟨1670, 163281783291924, .k4 0 [0, 2, 4, 5] 2 4 5 7⟩ ], [ - { origin := 135 - mask := 215504279094272 - certificate := .sharedThree 1 5 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 391 - mask := 76965820261376 - certificate := .k4 1 [1, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 647 - mask := 2594227319744757760 - certificate := .k4 3 [3, 5, 7] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1159 - mask := 5911266572959764 - certificate := .k4 0 [0, 2, 6, 4] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1415 - mask := 47345893406 - certificate := .k4 0 [0, 2, 4, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1671 - mask := 163298962112532 - certificate := .k4 0 [0, 2, 4, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3207 - mask := 5629800186184982 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4487 - mask := 19933027118110 - certificate := .k4 0 [0, 3, 4, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10119 - mask := 8108384237456991506 - certificate := .k4 0 [0, 1, 4, 7, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨135, 215504279094272, .sharedThree 1 5 2 6 7⟩, + ⟨391, 76965820261376, .k4 1 [1, 5, 2] 1 2 5 6⟩, + ⟨647, 2594227319744757760, .k4 3 [3, 5, 7] 2 3 5 7⟩, + ⟨1159, 5911266572959764, .k4 0 [0, 2, 6, 4] 0 2 4 6⟩, + ⟨1671, 163298962112532, .k4 0 [0, 2, 4, 5] 2 4 5 7⟩, + ⟨4487, 19933027118110, .k4 0 [0, 3, 4, 5, 1] 0 1 2 3⟩, + ⟨10119, 8108384237456991506, .k4 0 [0, 1, 4, 7, 5, 6] 1 2 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets16 : Array (List HardEntry) := #[ [ - { origin := 1152 - code := 4158110292926622750 - certificate := .residual 3363586684062080 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5504 - code := 3285751713959174430 - certificate := .residual 2675625636094546 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5760 - code := 5155452144839746590 - certificate := .residual 4066690847019814 - valid := Certificate.valid_of_validB (by decide) } + ⟨1152, 4158110292926622750, .residual 3363586684062080⟩, + ⟨5504, 3285751713959174430, .residual 2675625636094546⟩, + ⟨5760, 5155452144839746590, .residual 4066690847019814⟩ ], [ - { origin := 1153 - code := 3140508291630197790 - certificate := .residual 2924577021592353 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5505 - code := 3858839164588581150 - certificate := .residual 1620245215911506 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5761 - code := 4149444089998402590 - certificate := .residual 4349846499895687 - valid := Certificate.valid_of_validB (by decide) } + ⟨1153, 3140508291630197790, .residual 2924577021592353⟩, + ⟨5505, 3858839164588581150, .residual 1620245215911506⟩, + ⟨5761, 4149444089998402590, .residual 4349846499895687⟩ ], [ - { origin := 1154 - code := 3139947540700032030 - certificate := .residual 2927914223747861 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5506 - code := 3284630212098842910 - certificate := .residual 3668475211310791 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5762 - code := 7581134641813447710 - certificate := .residual 3364684048378247 - valid := Certificate.valid_of_validB (by decide) } + ⟨1154, 3139947540700032030, .residual 2927914223747861⟩, + ⟨5506, 3284630212098842910, .residual 3668475211310791⟩, + ⟨5762, 7581134641813447710, .residual 3364684048378247⟩ ], [ - { origin := 1155 - code := 2851717181728189470 - certificate := .residual 195669169027698 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5507 - code := 6428199926608093470 - certificate := .residual 3668990170121922 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5763 - code := 4147065159622517790 - certificate := .residual 1747075244286177 - valid := Certificate.valid_of_validB (by decide) } + ⟨1155, 2851717181728189470, .residual 195669169027698⟩, + ⟨5507, 6428199926608093470, .residual 3668990170121922⟩, + ⟨5763, 4147065159622517790, .residual 1747075244286177⟩ ], [ - { origin := 1156 - code := 5995847647167605790 - certificate := .residual 1180591036317281 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5508 - code := 6425956922887430430 - certificate := .residual 3475132492523333 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5764 - code := 5563522009221227550 - certificate := .residual 269091065348338 - valid := Certificate.valid_of_validB (by decide) } + ⟨1156, 5995847647167605790, .residual 1180591036317281⟩, + ⟨5508, 6425956922887430430, .residual 3475132492523333⟩, + ⟨5764, 5563522009221227550, .residual 269091065348338⟩ ], [ - { origin := 1157 - code := 2862200039420881950 - certificate := .residual 712148126415824 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5509 - code := 5564643494152823070 - certificate := .residual 4090947459234498 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5765 - code := 5128993644064465950 - certificate := .residual 1077621191612339 - valid := Certificate.valid_of_validB (by decide) } + ⟨1157, 2862200039420881950, .residual 712148126415824⟩, + ⟨5509, 5564643494152823070, .residual 4090947459234498⟩, + ⟨5765, 5128993644064465950, .residual 1077621191612339⟩ ], [ - { origin := 1158 - code := 3870992742516157470 - certificate := .residual 1202805157281616 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5510 - code := 6137730944782229790 - certificate := .residual 3035521571474114 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5766 - code := 8659109032603345950 - certificate := .residual 1747075244286176 - valid := Certificate.valid_of_validB (by decide) } + ⟨1158, 3870992742516157470, .residual 1202805157281616⟩, + ⟨5510, 6137730944782229790, .residual 3035521571474114⟩, + ⟨5766, 8659109032603345950, .residual 1747075244286176⟩ ], [ - { origin := 1159 - code := 6175166435649285150 - certificate := .residual 349065324160112 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5511 - code := 5563521992292491550 - certificate := .residual 2306430243652197 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5767 - code := 8659100210975400990 - certificate := .residual 3299984631541248 - valid := Certificate.valid_of_validB (by decide) } + ⟨1159, 6175166435649285150, .residual 349065324160112⟩, + ⟨5511, 5563521992292491550, .residual 2306430243652197⟩, + ⟨5767, 8659100210975400990, .residual 3299984631541248⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData17.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData17.lean index 7c36a22e9..5dda59916 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData17.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData17.lean @@ -13,400 +13,107 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets17 : Array (List PatternEntry) := #[ [ - { origin := 136 - mask := 215507567378432 - certificate := .sharedThree 3 5 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 648 - mask := 2594236817460953088 - certificate := .k4 4 [4, 5, 7] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 904 - mask := 13349097570304 - certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1160 - mask := 6755443766478848 - certificate := .k4 1 [1, 3, 4, 6] 1 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2440 - mask := 3298621531150 - certificate := .k4 0 [0, 3, 2, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2696 - mask := 18846319781126 - certificate := .k4 0 [0, 1, 2, 4, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3208 - mask := 5629800186250518 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4488 - mask := 19933043895326 - certificate := .k4 0 [0, 4, 5, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5000 - mask := 1688850201592094 - certificate := .k4 0 [0, 1, 6, 2, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6024 - mask := 21062857924870 - certificate := .k4 0 [0, 1, 5, 4, 3, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨136, 215507567378432, .sharedThree 3 5 2 6 7⟩, + ⟨648, 2594236817460953088, .k4 4 [4, 5, 7] 2 4 5 7⟩, + ⟨2440, 3298621531150, .k4 0 [0, 3, 2, 1, 5] 0 1 2 5⟩, + ⟨4488, 19933043895326, .k4 0 [0, 4, 5, 1, 3] 0 1 2 3⟩, + ⟨5000, 1688850201592094, .k4 0 [0, 1, 6, 2, 3] 0 2 3 4⟩, + ⟨6024, 21062857924870, .k4 0 [0, 1, 5, 4, 3, 2] 0 1 2 5⟩ ], [ - { origin := 137 - mask := 216346092634112 - certificate := .sharedThree 4 5 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 393 - mask := 76965820391424 - certificate := .k4 1 [1, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 649 - mask := 2738188573443531776 - certificate := .k4 1 [1, 2, 7] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 905 - mask := 13349567332352 - certificate := .k4 2 [2, 4, 5, 3] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3465 - mask := 9924191956575494 - certificate := .k4 0 [0, 1, 2, 5, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨137, 216346092634112, .sharedThree 4 5 2 6 7⟩, + ⟨393, 76965820391424, .k4 1 [1, 5, 2] 1 2 5 6⟩, + ⟨649, 2738188573443531776, .k4 1 [1, 2, 7] 1 2 5 7⟩, ], [ - { origin := 394 - mask := 79166481393664 - certificate := .k4 1 [1, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 650 - mask := 2738188573451789312 - certificate := .k4 1 [1, 7, 2] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 906 - mask := 13349632344064 - certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1162 - mask := 6755452394668032 - certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1418 - mask := 55835231518 - certificate := .k4 0 [0, 1, 4, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1674 - mask := 163419220148244 - certificate := .k4 0 [0, 2, 4, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3466 - mask := 9924191956706310 - certificate := .k4 0 [0, 2, 1, 5, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5002 - mask := 1688888520753438 - certificate := .k4 0 [0, 1, 4, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6538 - mask := 5066841724046350 - certificate := .k4 0 [0, 3, 2, 4, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨394, 79166481393664, .k4 1 [1, 3, 5] 1 3 5 6⟩, + ⟨650, 2738188573451789312, .k4 1 [1, 7, 2] 1 2 5 7⟩, + ⟨906, 13349632344064, .k4 2 [2, 3, 4, 5] 2 3 4 5⟩, + ⟨1418, 55835231518, .k4 0 [0, 1, 4, 2] 0 2 3 4⟩, ], [ - { origin := 139 - mask := 219902338662400 - certificate := .sharedThree 2 5 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 395 - mask := 79166521737216 - certificate := .k4 2 [2, 3, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 651 - mask := 2738188573451887616 - certificate := .k4 1 [1, 2, 7] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 907 - mask := 13366277439488 - certificate := .k4 2 [2, 3, 5, 4] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1163 - mask := 6755452395192320 - certificate := .k4 2 [2, 4, 3, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2187 - mask := 2898224693913845760 - certificate := .k4 3 [3, 6, 7, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2443 - mask := 3299158270222 - certificate := .k4 0 [0, 1, 3, 5, 2] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4491 - mask := 19945829772302 - certificate := .k4 0 [0, 2, 4, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4747 - mask := 92638157079826 - certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7307 - mask := 15762784721592594 - certificate := .k4 0 [0, 1, 4, 3, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9867 - mask := 2882447838613152790 - certificate := .k4 0 [0, 2, 4, 3, 7, 5, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨139, 219902338662400, .sharedThree 2 5 3 6 7⟩, + ⟨651, 2738188573451887616, .k4 1 [1, 2, 7] 1 2 5 7⟩, + ⟨907, 13366277439488, .k4 2 [2, 3, 5, 4] 2 3 4 5⟩, + ⟨1163, 6755452395192320, .k4 2 [2, 4, 3, 6] 2 3 4 6⟩, + ⟨2443, 3299158270222, .k4 0 [0, 1, 3, 5, 2] 0 2 3 5⟩, + ⟨4747, 92638157079826, .k4 0 [0, 1, 4, 2, 5] 2 4 5 6⟩, + ⟨7307, 15762784721592594, .k4 0 [0, 1, 4, 3, 6] 1 4 5 6⟩, ], [ - { origin := 140 - mask := 220761319014400 - certificate := .sharedThree 4 5 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 396 - mask := 79613392846848 - certificate := .k4 3 [3, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 652 - mask := 2738188573451919360 - certificate := .k4 1 [1, 7, 2] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1164 - mask := 6755684284647424 - certificate := .k4 1 [1, 3, 6, 4] 1 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2188 - mask := 2898295061584281600 - certificate := .k4 3 [3, 7, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4236 - mask := 3458923445398011904 - certificate := .k4 2 [2, 3, 4, 7, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7308 - mask := 15762793317859348 - certificate := .k4 0 [0, 2, 4, 3, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨140, 220761319014400, .sharedThree 4 5 3 6 7⟩, + ⟨396, 79613392846848, .k4 3 [3, 4, 5] 3 4 5 6⟩, + ⟨652, 2738188573451919360, .k4 1 [1, 7, 2] 1 2 5 7⟩, + ⟨1164, 6755684284647424, .k4 1 [1, 3, 6, 4] 1 3 4 6⟩, + ⟨2188, 2898295061584281600, .k4 3 [3, 7, 5, 6] 3 4 5 6⟩, + ⟨4236, 3458923445398011904, .k4 2 [2, 3, 4, 7, 5] 2 3 4 5⟩, + ⟨7308, 15762793317859348, .k4 0 [0, 2, 4, 3, 6] 2 4 5 6⟩ ], [ - { origin := 397 - mask := 81364967778304 - certificate := .k4 1 [1, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 909 - mask := 13366813786112 - certificate := .k4 2 [2, 5, 3, 4] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1165 - mask := 6755692912836608 - certificate := .k4 2 [2, 3, 6, 4] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1677 - mask := 167300060151808 - certificate := .k4 2 [2, 3, 4, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2189 - mask := 2993135636329791488 - certificate := .k4 3 [3, 6, 7, 5] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4493 - mask := 19963009638686 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8333 - mask := 11331568246268190 - certificate := .k4 0 [0, 1, 2, 5, 6, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨397, 81364967778304, .k4 1 [1, 3, 5] 1 3 5 6⟩, + ⟨2189, 2993135636329791488, .k4 3 [3, 6, 7, 5] 0 5 6 7⟩, + ⟨4493, 19963009638686, .k4 0 [0, 1, 2, 5, 4] 0 2 3 4⟩, + ⟨8333, 11331568246268190, .k4 0 [0, 1, 2, 5, 6, 3] 0 2 3 4⟩ ], [ - { origin := 142 - mask := 228698432208896 - certificate := .sharedThree 2 5 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 398 - mask := 81365471094784 - certificate := .k4 1 [1, 5, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 654 - mask := 2738333708976169984 - certificate := .k4 1 [1, 7, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1166 - mask := 6755717570643968 - certificate := .k4 1 [1, 3, 4, 6] 1 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1422 - mask := 6597072399630 - certificate := .k4 0 [0, 1, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1678 - mask := 167682787770392 - certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2190 - mask := 2999759093838643200 - certificate := .k4 3 [3, 5, 7, 6] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2702 - mask := 18854907552022 - certificate := .k4 0 [0, 1, 2, 4, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3982 - mask := 648518348514231310 - certificate := .k4 0 [0, 2, 3, 1, 7] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4494 - mask := 19963343547662 - certificate := .k4 0 [0, 1, 5, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5006 - mask := 1688901405655326 - certificate := .k4 0 [0, 1, 6, 2, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨142, 228698432208896, .sharedThree 2 5 4 6 7⟩, + ⟨398, 81365471094784, .k4 1 [1, 5, 3] 1 3 5 6⟩, + ⟨654, 2738333708976169984, .k4 1 [1, 7, 5] 1 2 5 7⟩, + ⟨1166, 6755717570643968, .k4 1 [1, 3, 4, 6] 1 3 4 6⟩, + ⟨1422, 6597072399630, .k4 0 [0, 1, 5, 2] 0 1 2 3⟩, + ⟨1678, 167682787770392, .k4 0 [0, 3, 4, 5] 3 4 5 7⟩, + ⟨2190, 2999759093838643200, .k4 3 [3, 5, 7, 6] 0 5 6 7⟩, ], [ - { origin := 143 - mask := 228701908238336 - certificate := .sharedThree 3 5 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 911 - mask := 14293737668620 - certificate := .k4 0 [0, 3, 2, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1423 - mask := 6597072464910 - certificate := .k4 0 [0, 2, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1679 - mask := 167716879073304 - certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5263 - mask := 9649314666138638 - certificate := .k4 0 [0, 3, 5, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6543 - mask := 5066859154590734 - certificate := .k4 0 [0, 2, 3, 4, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨143, 228701908238336, .sharedThree 3 5 4 6 7⟩, + ⟨911, 14293737668620, .k4 0 [0, 3, 2, 5] 0 2 3 5⟩, + ⟨1423, 6597072464910, .k4 0 [0, 2, 5, 1] 0 1 2 3⟩, + ⟨1679, 167716879073304, .k4 0 [0, 3, 4, 5] 3 4 5 7⟩, + ⟨5263, 9649314666138638, .k4 0 [0, 3, 5, 6, 1] 0 1 2 3⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets17 : Array (List HardEntry) := #[ [ - { origin := 1160 - code := 3871005816665041950 - certificate := .residual 4348869394664713 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5512 - code := 4145376318603321630 - certificate := .residual 1994389914580002 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5768 - code := 8659093639675438110 - certificate := .residual 2941065685963558 - valid := Certificate.valid_of_validB (by decide) } + ⟨1160, 3871005816665041950, .residual 4348869394664713⟩, + ⟨5512, 4145376318603321630, .residual 1994389914580002⟩, + ⟨5768, 8659093639675438110, .residual 2941065685963558⟩ ], [ - { origin := 1161 - code := 3726892827612441630 - certificate := .residual 4348869394664712 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5513 - code := 5591731479260094750 - certificate := .residual 936852126455728 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5769 - code := 4149307752636933150 - certificate := .residual 269331616547058 - valid := Certificate.valid_of_validB (by decide) } + ⟨1161, 3726892827612441630, .residual 4348869394664712⟩, + ⟨5513, 5591731479260094750, .residual 936852126455728⟩, + ⟨5769, 4149307752636933150, .residual 269331616547058⟩ ], [ - { origin := 1162 - code := 4158040199043640350 - certificate := .residual 333670249292016 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5514 - code := 4147062943704080670 - certificate := .residual 1380722880142370 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5770 - code := 6137730551004718110 - certificate := .residual 1746834693087457 - valid := Certificate.valid_of_validB (by decide) } + ⟨1162, 4158040199043640350, .residual 333670249292016⟩, + ⟨5514, 4147062943704080670, .residual 1380722880142370⟩, + ⟨5770, 6137730551004718110, .residual 1746834693087457⟩ ], [ - { origin := 1163 - code := 3866783692266040350 - certificate := .residual 3608063844275752 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5515 - code := 6137799802251567390 - certificate := .residual 3793888694448386 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5771 - code := 8686677509794882590 - certificate := .residual 936917930874803 - valid := Certificate.valid_of_validB (by decide) } + ⟨1163, 3866783692266040350, .residual 3608063844275752⟩, + ⟨5515, 6137799802251567390, .residual 3793888694448386⟩, + ⟨5771, 8686677509794882590, .residual 936917930874803⟩ ], [ - { origin := 1164 - code := 3722670703213440030 - certificate := .residual 4348869394664714 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5516 - code := 8401838035908092190 - certificate := .residual 340013860921840 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5772 - code := 7608079273227248670 - certificate := .residual 3911135697111441 - valid := Certificate.valid_of_validB (by decide) } + ⟨1164, 3722670703213440030, .residual 4348869394664714⟩, + ⟨5516, 8401838035908092190, .residual 340013860921840⟩, + ⟨5772, 7608079273227248670, .residual 3911135697111441⟩ ], [ - { origin := 1165 - code := 4153385690690841630 - certificate := .residual 2396829421902163 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5517 - code := 8661430669641703710 - certificate := .residual 332315396802032 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5773 - code := 7676198412520842270 - certificate := .residual 2468811968597076 - valid := Certificate.valid_of_validB (by decide) } + ⟨1165, 4153385690690841630, .residual 2396829421902163⟩, + ⟨5517, 8661430669641703710, .residual 332315396802032⟩, + ⟨5773, 7676198412520842270, .residual 2468811968597076⟩ ], [ - { origin := 1166 - code := 5420582032932695070 - certificate := .residual 2286266264038626 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5518 - code := 8230703861408129310 - certificate := .residual 3792671071103497 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5774 - code := 3717098525771228190 - certificate := .residual 3349285244307858 - valid := Certificate.valid_of_validB (by decide) } + ⟨1166, 5420582032932695070, .residual 2286266264038626⟩, + ⟨5518, 8230703861408129310, .residual 3792671071103497⟩, + ⟨5774, 3717098525771228190, .residual 3349285244307858⟩ ], [ - { origin := 1167 - code := 4153242217308318750 - certificate := .residual 2526709300056372 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5519 - code := 8229582359547797790 - certificate := .residual 3792671071103496 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5775 - code := 7581128044744074270 - certificate := .residual 4334447695825298 - valid := Certificate.valid_of_validB (by decide) } + ⟨1167, 4153242217308318750, .residual 2526709300056372⟩, + ⟨5519, 8229582359547797790, .residual 3792671071103496⟩, + ⟨5775, 7581128044744074270, .residual 4334447695825298⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData18.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData18.lean index a818737e3..2f91131c6 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData18.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData18.lean @@ -13,356 +13,107 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets18 : Array (List PatternEntry) := #[ [ - { origin := 144 - mask := 3940649673949198 - certificate := .sharedThree 0 6 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 400 - mask := 81365504647168 - certificate := .k4 1 [1, 5, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 656 - mask := 2882303764279590912 - certificate := .k4 2 [2, 3, 7] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4496 - mask := 19980188459294 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7056 - mask := 11821950135512326 - certificate := .k4 0 [0, 1, 2, 3, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7312 - mask := 15762891381735436 - certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨144, 3940649673949198, .sharedThree 0 6 1 2 3⟩, + ⟨400, 81365504647168, .k4 1 [1, 5, 3] 1 3 5 6⟩, + ⟨656, 2882303764279590912, .k4 2 [2, 3, 7] 2 3 5 7⟩, + ⟨4496, 19980188459294, .k4 0 [0, 1, 2, 5, 4] 0 2 3 4⟩, + ⟨7056, 11821950135512326, .k4 0 [0, 1, 2, 3, 6] 1 2 5 6⟩, + ⟨7312, 15762891381735436, .k4 0 [0, 2, 3, 4, 6] 2 3 5 6⟩ ], [ - { origin := 145 - mask := 6192449487634454 - certificate := .sharedThree 0 6 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 401 - mask := 83564031377408 - certificate := .k4 2 [2, 3, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 657 - mask := 2882304486024413184 - certificate := .k4 3 [3, 4, 7] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 913 - mask := 14294207430668 - certificate := .k4 0 [0, 3, 5, 2] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1169 - mask := 6755726198833152 - certificate := .k4 2 [2, 3, 4, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1681 - mask := 167727879684096 - certificate := .k4 2 [2, 4, 3, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2193 - mask := 3026577977501548544 - certificate := .k4 3 [3, 7, 5, 4] 1 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4497 - mask := 19980189442334 - certificate := .k4 0 [0, 1, 5, 4, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7313 - mask := 15762908789104906 - certificate := .k4 0 [0, 1, 3, 4, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨145, 6192449487634454, .sharedThree 0 6 1 2 4⟩, + ⟨401, 83564031377408, .k4 2 [2, 3, 5] 2 3 5 6⟩, + ⟨657, 2882304486024413184, .k4 3 [3, 4, 7] 3 4 5 7⟩, + ⟨913, 14294207430668, .k4 0 [0, 3, 5, 2] 0 2 3 5⟩, + ⟨1169, 6755726198833152, .k4 2 [2, 3, 4, 6] 2 3 4 6⟩, + ⟨1681, 167727879684096, .k4 2 [2, 4, 3, 5] 2 4 5 7⟩, + ⟨2193, 3026577977501548544, .k4 3 [3, 7, 5, 4] 1 3 4 7⟩, + ⟨7313, 15762908789104906, .k4 0 [0, 1, 3, 4, 6] 1 3 5 6⟩ ], [ - { origin := 146 - mask := 7318349394477082 - certificate := .sharedThree 0 6 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 914 - mask := 14294255730700 - certificate := .k4 0 [0, 2, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1170 - mask := 6755726199357440 - certificate := .k4 2 [2, 4, 3, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1682 - mask := 167819689852952 - certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3474 - mask := 10204567423821062 - certificate := .k4 0 [0, 1, 2, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4242 - mask := 3470253037820313600 - certificate := .k4 3 [3, 6, 5, 7, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5522 - mask := 12384900068041994 - certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6546 - mask := 5066875998979358 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7314 - mask := 15762908828991500 - certificate := .k4 0 [0, 2, 3, 4, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨146, 7318349394477082, .sharedThree 0 6 1 3 4⟩, + ⟨914, 14294255730700, .k4 0 [0, 2, 3, 5] 0 2 3 5⟩, + ⟨1682, 167819689852952, .k4 0 [0, 3, 4, 5] 3 4 5 7⟩, + ⟨4242, 3470253037820313600, .k4 3 [3, 6, 5, 7, 4] 3 4 5 6⟩, + ⟨7314, 15762908828991500, .k4 0 [0, 2, 3, 4, 6] 2 3 5 6⟩ ], [ - { origin := 147 - mask := 7881299347898396 - certificate := .sharedThree 0 6 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 403 - mask := 83564566151168 - certificate := .k4 2 [2, 3, 5] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 659 - mask := 2882457693156016128 - certificate := .k4 2 [2, 5, 7] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1171 - mask := 6755727004663808 - certificate := .k4 2 [2, 4, 6, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1683 - mask := 167853781155864 - certificate := .k4 0 [0, 3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2451 - mask := 3320013005078 - certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4243 - mask := 3472436674623987712 - certificate := .k4 1 [1, 5, 7, 4, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4499 - mask := 19980523413790 - certificate := .k4 0 [0, 1, 5, 4, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5523 - mask := 12384900068107276 - certificate := .k4 0 [0, 2, 3, 1, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨147, 7881299347898396, .sharedThree 0 6 2 3 4⟩, + ⟨403, 83564566151168, .k4 2 [2, 3, 5] 2 3 5 6⟩, + ⟨659, 2882457693156016128, .k4 2 [2, 5, 7] 2 3 5 7⟩, + ⟨1171, 6755727004663808, .k4 2 [2, 4, 6, 3] 2 3 4 6⟩, + ⟨2451, 3320013005078, .k4 0 [0, 1, 4, 5, 2] 0 1 2 5⟩, + ⟨4243, 3472436674623987712, .k4 1 [1, 5, 7, 4, 6] 1 4 5 6⟩, + ⟨4499, 19980523413790, .k4 0 [0, 1, 5, 4, 3] 0 2 3 4⟩, ], [ - { origin := 148 - mask := 9851624187166720 - certificate := .sharedThree 2 6 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 660 - mask := 2882471608839045120 - certificate := .k4 4 [4, 5, 7] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1172 - mask := 6834737955995648 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2452 - mask := 3320013005846 - certificate := .k4 0 [0, 4, 2, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2964 - mask := 2533275881131022 - certificate := .k4 0 [0, 2, 3, 1, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨148, 9851624187166720, .sharedThree 2 6 0 1 5⟩, + ⟨660, 2882471608839045120, .k4 4 [4, 5, 7] 3 4 5 7⟩, + ⟨1172, 6834737955995648, .k4 3 [3, 4, 5, 6] 3 4 5 6⟩, + ⟨2452, 3320013005846, .k4 0 [0, 4, 2, 1, 5] 0 1 2 5⟩, + ⟨2964, 2533275881131022, .k4 0 [0, 2, 3, 1, 6] 0 1 3 6⟩ ], [ - { origin := 149 - mask := 9851624772075520 - certificate := .sharedThree 3 6 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 917 - mask := 18833434804244 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1173 - mask := 6834978474164224 - certificate := .k4 3 [3, 5, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9877 - mask := 2882462239385847070 - certificate := .k4 0 [0, 1, 3, 2, 7, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨149, 9851624772075520, .sharedThree 3 6 0 1 5⟩, + ⟨917, 18833434804244, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, ], [ - { origin := 150 - mask := 9851774508728320 - certificate := .sharedThree 4 6 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 406 - mask := 88390434291712 - certificate := .k4 2 [2, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 918 - mask := 18834253676568 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1174 - mask := 6835011760160768 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1430 - mask := 7696631737358 - certificate := .k4 0 [0, 3, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2454 - mask := 3338028458266 - certificate := .k4 0 [0, 1, 4, 5, 3] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2966 - mask := 2533275885323278 - certificate := .k4 0 [0, 2, 3, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨150, 9851774508728320, .sharedThree 4 6 0 1 5⟩, + ⟨406, 88390434291712, .k4 2 [2, 4, 5] 2 4 5 6⟩, + ⟨918, 18834253676568, .k4 0 [0, 3, 4, 5] 0 3 4 5⟩, + ⟨1174, 6835011760160768, .k4 3 [3, 4, 5, 6] 3 4 5 6⟩, + ⟨1430, 7696631737358, .k4 0 [0, 3, 1, 5] 0 1 2 5⟩, ], [ - { origin := 151 - mask := 10414574138303744 - certificate := .sharedThree 1 6 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 407 - mask := 88409485869056 - certificate := .k4 3 [3, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 663 - mask := 3026418952310892544 - certificate := .k4 1 [1, 3, 7] 1 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2455 - mask := 3338028460058 - certificate := .k4 0 [0, 4, 3, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3735 - mask := 11348099792371736 - certificate := .k4 0 [0, 3, 4, 6, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6551 - mask := 5073464481836032 - certificate := .k4 1 [1, 5, 6, 2, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨151, 10414574138303744, .sharedThree 1 6 0 2 5⟩, + ⟨407, 88409485869056, .k4 3 [3, 4, 5] 3 4 5 6⟩, + ⟨663, 3026418952310892544, .k4 1 [1, 3, 7] 1 3 5 7⟩, + ⟨3735, 11348099792371736, .k4 0 [0, 3, 4, 6, 5] 0 3 4 5⟩, + ⟨6551, 5073464481836032, .k4 1 [1, 5, 6, 2, 4] 1 2 3 4⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets18 : Array (List HardEntry) := #[ [ - { origin := 1168 - code := 3722585502941015070 - certificate := .residual 2771150958996673 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5520 - code := 8371515816107761950 - certificate := .residual 3363706943147266 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5776 - code := 6137724364641592350 - certificate := .residual 4241517474354721 - valid := Certificate.valid_of_validB (by decide) } + ⟨1168, 3722585502941015070, .residual 2771150958996673⟩, + ⟨5520, 8371515816107761950, .residual 3363706943147266⟩, + ⟨5776, 6137724364641592350, .residual 4241517474354721⟩ ], [ - { origin := 1169 - code := 7149895188114140190 - certificate := .residual 2517915237077297 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5521 - code := 4149307735708197150 - certificate := .residual 2306700892652133 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5777 - code := 5563515412151854110 - certificate := .residual 4247019340043541 - valid := Certificate.valid_of_validB (by decide) } + ⟨1169, 7149895188114140190, .residual 2517915237077297⟩, + ⟨5521, 4149307735708197150, .residual 2306700892652133⟩, + ⟨5777, 5563515412151854110, .residual 4247019340043541⟩ ], [ - { origin := 1170 - code := 5420513034283084830 - certificate := .residual 3043242714776213 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5522 - code := 3862203259463328030 - certificate := .residual 2965322298178242 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5778 - code := 5559643761362396190 - certificate := .residual 1978395488873556 - valid := Certificate.valid_of_validB (by decide) } + ⟨1170, 5420513034283084830, .residual 3043242714776213⟩, + ⟨5522, 3862203259463328030, .residual 2965322298178242⟩, + ⟨5778, 5559643761362396190, .residual 1978395488873556⟩ ], [ - { origin := 1171 - code := 5132287056177884190 - certificate := .residual 3039890392269473 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5523 - code := 4147064731987534110 - certificate := .residual 4161421172656834 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5779 - code := 5559574762712785950 - certificate := .residual 1978395488873553 - valid := Certificate.valid_of_validB (by decide) } + ⟨1171, 5132287056177884190, .residual 3039890392269473⟩, + ⟨5523, 4147064731987534110, .residual 4161421172656834⟩, + ⟨5779, 5559574762712785950, .residual 1978395488873553⟩ ], [ - { origin := 1172 - code := 4158101616623447070 - certificate := .residual 1765752963262288 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5524 - code := 3858838753882333470 - certificate := .residual 3475098603595589 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5780 - code := 3138394620144706590 - certificate := .residual 3340489419434386 - valid := Certificate.valid_of_validB (by decide) } + ⟨1172, 4158101616623447070, .residual 1765752963262288⟩, + ⟨5524, 3858838753882333470, .residual 3475098603595589⟩, + ⟨5780, 3138394620144706590, .residual 3340489419434386⟩ ], [ - { origin := 1173 - code := 4158101496834124830 - certificate := .residual 3089358348928550 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5525 - code := 3284629801392595230 - certificate := .residual 3668715729995458 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5781 - code := 5417216306472084510 - certificate := .residual 3763801341077905 - valid := Certificate.valid_of_validB (by decide) } + ⟨1173, 4158101496834124830, .residual 3089358348928550⟩, + ⟨5525, 3284629801392595230, .residual 3668715729995458⟩, + ⟨5781, 5417216306472084510, .residual 3763801341077905⟩ ], [ - { origin := 1174 - code := 4158097115967482910 - certificate := .residual 2316488913924192 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5526 - code := 6428199515901845790 - certificate := .residual 3668509100238535 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5782 - code := 3140501816999470110 - certificate := .residual 3045523837212193 - valid := Certificate.valid_of_validB (by decide) } + ⟨1174, 4158097115967482910, .residual 2316488913924192⟩, + ⟨5526, 6428199515901845790, .residual 3668509100238535⟩, + ⟨5782, 3140501816999470110, .residual 3045523837212193⟩ ], [ - { origin := 1175 - code := 7185710407163735070 - certificate := .residual 3793512884687236 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5527 - code := 6141095039656976670 - certificate := .residual 2675655733895762 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5783 - code := 3138258813278807070 - certificate := .residual 3051025702901013 - valid := Certificate.valid_of_validB (by decide) } + ⟨1175, 7185710407163735070, .residual 3793512884687236⟩, + ⟨5527, 6141095039656976670, .residual 2675655733895762⟩, + ⟨5783, 3138258813278807070, .residual 3051025702901013⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData19.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData19.lean index 51e8e5f84..99f89c0ac 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData19.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData19.lean @@ -13,356 +13,104 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets19 : Array (List PatternEntry) := #[ [ - { origin := 152 - mask := 10414574759051264 - certificate := .sharedThree 3 6 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 664 - mask := 3026418952310923264 - certificate := .k4 1 [1, 7, 3] 1 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 920 - mask := 18842021536018 - certificate := .k4 0 [0, 1, 4, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1176 - mask := 6843534049017856 - certificate := .k4 3 [3, 4, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1688 - mask := 1688849865067534 - certificate := .k4 0 [0, 2, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4248 - mask := 3474677368994398208 - certificate := .k4 3 [3, 4, 6, 7, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨664, 3026418952310923264, .k4 1 [1, 7, 3] 1 3 5 7⟩, + ⟨920, 18842021536018, .k4 0 [0, 1, 4, 5] 0 1 4 5⟩, + ⟨1176, 6843534049017856, .k4 3 [3, 4, 6, 5] 3 4 5 6⟩, + ⟨1688, 1688849865067534, .k4 0 [0, 2, 6, 1] 0 1 2 3⟩, + ⟨4248, 3474677368994398208, .k4 3 [3, 4, 6, 7, 5] 3 4 5 6⟩ ], [ - { origin := 665 - mask := 3026561888822493184 - certificate := .k4 3 [3, 7, 5] 1 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1433 - mask := 7697202159886 - certificate := .k4 0 [0, 1, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5785 - mask := 4724778795968495616 - certificate := .k4 3 [3, 4, 5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨665, 3026561888822493184, .k4 3 [3, 7, 5] 1 3 5 7⟩, + ⟨1433, 7697202159886, .k4 0 [0, 1, 3, 5] 0 2 3 5⟩, ], [ - { origin := 154 - mask := 11540474045147392 - certificate := .sharedThree 1 6 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 922 - mask := 18846319706132 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1178 - mask := 6843807853182976 - certificate := .k4 3 [3, 4, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2970 - mask := 2533275902102534 - certificate := .k4 0 [0, 2, 1, 3, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨154, 11540474045147392, .sharedThree 1 6 0 3 5⟩, + ⟨922, 18846319706132, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, + ⟨1178, 6843807853182976, .k4 3 [3, 4, 5, 6] 3 4 5 6⟩, ], [ - { origin := 155 - mask := 11540474047823872 - certificate := .sharedThree 2 6 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 411 - mask := 90580860297216 - certificate := .k4 1 [1, 5, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 667 - mask := 3170534138283819008 - certificate := .k4 2 [2, 3, 7] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 923 - mask := 18850613624852 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4251 - mask := 4792392955699284992 - certificate := .k4 1 [1, 2, 6, 3, 7] 1 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6555 - mask := 5077846217223168 - certificate := .k4 1 [1, 5, 6, 3, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8603 - mask := 1297037268292895006 - certificate := .k4 0 [0, 1, 3, 7, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨155, 11540474047823872, .sharedThree 2 6 0 3 5⟩, + ⟨411, 90580860297216, .k4 1 [1, 5, 4] 1 4 5 6⟩, + ⟨667, 3170534138283819008, .k4 2 [2, 3, 7] 2 3 5 7⟩, + ⟨923, 18850613624852, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, + ⟨4251, 4792392955699284992, .k4 1 [1, 2, 6, 3, 7] 1 2 3 7⟩, + ⟨6555, 5077846217223168, .k4 1 [1, 5, 6, 3, 4] 1 2 3 4⟩, + ⟨8603, 1297037268292895006, .k4 0 [0, 1, 3, 7, 2, 4] 0 1 2 4⟩ ], [ - { origin := 156 - mask := 11540650138796032 - certificate := .sharedThree 4 6 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 412 - mask := 92651041849344 - certificate := .k4 2 [2, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 924 - mask := 18850614607892 - certificate := .k4 0 [0, 4, 2, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1180 - mask := 7036914162991128 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2204 - mask := 3458919167006605312 - certificate := .k4 2 [2, 5, 7, 4] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2972 - mask := 2533275936113926 - certificate := .k4 0 [0, 1, 2, 3, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4252 - mask := 4792392955732708352 - certificate := .k4 1 [1, 3, 6, 2, 7] 1 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4508 - mask := 22131969101086 - certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5276 - mask := 9654811687403790 - certificate := .k4 0 [0, 1, 3, 6, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6300 - mask := 153932241019142 - certificate := .k4 0 [0, 1, 2, 3, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8604 - mask := 1297037285489475870 - certificate := .k4 0 [0, 1, 2, 7, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨156, 11540650138796032, .sharedThree 4 6 0 3 5⟩, + ⟨412, 92651041849344, .k4 2 [2, 4, 5] 2 4 5 6⟩, + ⟨924, 18850614607892, .k4 0 [0, 4, 2, 5] 0 2 4 5⟩, + ⟨2204, 3458919167006605312, .k4 2 [2, 5, 7, 4] 2 3 4 5⟩, + ⟨4252, 4792392955732708352, .k4 1 [1, 3, 6, 2, 7] 1 2 3 7⟩, ], [ - { origin := 413 - mask := 92771300933632 - certificate := .k4 2 [2, 5, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 669 - mask := 3170534140422914048 - certificate := .k4 2 [2, 3, 7] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 925 - mask := 18864318447640 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1181 - mask := 7036914414649368 - certificate := .k4 0 [0, 4, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1437 - mask := 7855495192854 - certificate := .k4 0 [0, 1, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3997 - mask := 720585838701879562 - certificate := .k4 0 [0, 1, 7, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9885 - mask := 2892085019122682894 - certificate := .k4 0 [0, 2, 3, 7, 5, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨413, 92771300933632, .k4 2 [2, 5, 4] 2 4 5 6⟩, + ⟨669, 3170534140422914048, .k4 2 [2, 3, 7] 2 3 5 7⟩, + ⟨925, 18864318447640, .k4 0 [0, 3, 4, 5] 0 3 4 5⟩, + ⟨1181, 7036914414649368, .k4 0 [0, 4, 3, 6] 0 3 4 6⟩, + ⟨1437, 7855495192854, .k4 0 [0, 1, 4, 5] 0 2 4 5⟩, + ⟨3997, 720585838701879562, .k4 0 [0, 1, 7, 3, 5] 0 1 3 5⟩, + ⟨9885, 2892085019122682894, .k4 0 [0, 2, 3, 7, 5, 6, 1] 0 1 2 3⟩ ], [ - { origin := 158 - mask := 13792273862033408 - certificate := .sharedThree 2 6 0 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 414 - mask := 92788478705664 - certificate := .k4 2 [2, 4, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 926 - mask := 18868344979480 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1182 - mask := 7037153875853336 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1438 - mask := 9896177380608 - certificate := .k4 1 [1, 2, 3, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2462 - mask := 3471155667226 - certificate := .k4 0 [0, 1, 3, 5, 4] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2718 - mask := 19937239311638 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5022 - mask := 1970376667168782 - certificate := .k4 0 [0, 3, 4, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6302 - mask := 153933827907854 - certificate := .k4 0 [0, 1, 2, 3, 5] 1 3 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨158, 13792273862033408, .sharedThree 2 6 0 4 5⟩, + ⟨414, 92788478705664, .k4 2 [2, 4, 5] 2 4 5 6⟩, + ⟨926, 18868344979480, .k4 0 [0, 3, 4, 5] 0 3 4 5⟩, + ⟨1182, 7037153875853336, .k4 0 [0, 3, 4, 6] 0 3 4 6⟩, + ⟨2718, 19937239311638, .k4 0 [0, 1, 2, 5, 4] 0 1 2 4⟩, ], [ - { origin := 159 - mask := 13792274680905728 - certificate := .sharedThree 3 6 0 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 415 - mask := 92788479754240 - certificate := .k4 2 [2, 5, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 671 - mask := 3170679275955159040 - certificate := .k4 3 [3, 7, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 927 - mask := 18868596637720 - certificate := .k4 0 [0, 4, 3, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1183 - mask := 7037154932817944 - certificate := .k4 0 [0, 4, 6, 3] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1695 - mask := 1970324887325710 - certificate := .k4 0 [0, 3, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5279 - mask := 9658273347159318 - certificate := .k4 0 [0, 1, 6, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6559 - mask := 5085653597643782 - certificate := .k4 0 [0, 2, 1, 6, 4, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨159, 13792274680905728, .sharedThree 3 6 0 4 5⟩, + ⟨415, 92788479754240, .k4 2 [2, 5, 4] 2 4 5 6⟩, + ⟨671, 3170679275955159040, .k4 3 [3, 7, 5] 2 3 5 7⟩, + ⟨927, 18868596637720, .k4 0 [0, 4, 3, 5] 0 3 4 5⟩, + ⟨1183, 7037154932817944, .k4 0 [0, 4, 6, 3] 0 3 4 6⟩, + ⟨1695, 1970324887325710, .k4 0 [0, 3, 1, 6] 0 1 2 6⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets19 : Array (List HardEntry) := #[ [ - { origin := 1176 - code := 5456328253332679710 - certificate := .residual 3915711179795969 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5528 - code := 6425956512181182750 - certificate := .residual 1479511857372754 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5784 - code := 3136569989188346910 - certificate := .residual 2468811968597073 - valid := Certificate.valid_of_validB (by decide) } + ⟨1176, 5456328253332679710, .residual 3915711179795969⟩, + ⟨5528, 6425956512181182750, .residual 1479511857372754⟩, + ⟨5784, 3136569989188346910, .residual 2468811968597073⟩ ], [ - { origin := 1177 - code := 2862191363117706270 - certificate := .residual 2694936613328176 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5529 - code := 6137730534075982110 - certificate := .residual 3795963163732108 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5785 - code := 5995919938294440990 - certificate := .residual 3772597165951377 - valid := Certificate.valid_of_validB (by decide) } + ⟨1177, 2862191363117706270, .residual 2694936613328176⟩, + ⟨5529, 6137730534075982110, .residual 3795963163732108⟩, + ⟨5785, 5995919938294440990, .residual 3772597165951377⟩ ], [ - { origin := 1178 - code := 3145366082195450910 - certificate := .residual 316285286000884 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5530 - code := 5563521581586243870 - certificate := .residual 2182905523662418 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5786 - code := 6136095572114334750 - certificate := .residual 2470976698174548 - valid := Certificate.valid_of_validB (by decide) } + ⟨1178, 3145366082195450910, .residual 316285286000884⟩, + ⟨5530, 5563521581586243870, .residual 2182905523662418⟩, + ⟨5786, 6136095572114334750, .residual 2470976698174548⟩ ], [ - { origin := 1179 - code := 8189454161454197790 - certificate := .residual 316285286000883 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5531 - code := 6136041709985521950 - certificate := .residual 1996314092958754 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5787 - code := 3716962188409758750 - certificate := .residual 3121394178987285 - valid := Certificate.valid_of_validB (by decide) } + ⟨1179, 8189454161454197790, .residual 316285286000883⟩, + ⟨5531, 6136041709985521950, .residual 1996314092958754⟩, + ⟨5787, 3716962188409758750, .residual 3121394178987285⟩ ], [ - { origin := 1180 - code := 6172914892527528990 - certificate := .residual 3486425606329120 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5532 - code := 5993615346033680670 - certificate := .residual 1378528052763682 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5788 - code := 3714719184689095710 - certificate := .residual 3115892313298465 - valid := Certificate.valid_of_validB (by decide) } + ⟨1180, 6172914892527528990, .residual 3486425606329120⟩, + ⟨5532, 5993615346033680670, .residual 1378528052763682⟩, + ⟨5788, 3714719184689095710, .residual 3115892313298465⟩ ], [ - { origin := 1181 - code := 7185587263740472350 - certificate := .residual 3793512884687233 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5533 - code := 8230695039780184350 - certificate := .residual 1077585484994480 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5789 - code := 8252649692777210910 - certificate := .residual 1976230759296084 - valid := Certificate.valid_of_validB (by decide) } + ⟨1181, 7185587263740472350, .residual 3793512884687233⟩, + ⟨5533, 8230695039780184350, .residual 1077585484994480⟩, + ⟨5789, 8252649692777210910, .residual 1976230759296084⟩ ], [ - { origin := 1182 - code := 7176861672606428190 - certificate := .residual 3795692580776325 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5534 - code := 6168183730531918110 - certificate := .residual 935769794582448 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5790 - code := 3713021538970690590 - certificate := .residual 1976230759296081 - valid := Certificate.valid_of_validB (by decide) } + ⟨1182, 7176861672606428190, .residual 3795692580776325⟩, + ⟨5534, 6168183730531918110, .residual 935769794582448⟩, + ⟨5790, 3713021538970690590, .residual 1976230759296081⟩ ], [ - { origin := 1183 - code := 6460844002744888350 - certificate := .residual 752132264057777 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5535 - code := 6453036381428179230 - certificate := .residual 3915951698029064 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5791 - code := 8182278732413199390 - certificate := .residual 3902339872237969 - valid := Certificate.valid_of_validB (by decide) } + ⟨1183, 6460844002744888350, .residual 752132264057777⟩, + ⟨5535, 6453036381428179230, .residual 3915951698029064⟩, + ⟨5791, 8182278732413199390, .residual 3902339872237969⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData20.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData20.lean index e3034507b..278bf0321 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData20.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData20.lean @@ -13,376 +13,113 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets20 : Array (List PatternEntry) := #[ [ - { origin := 160 - mask := 36873221957681152 - certificate := .sharedThree 2 6 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 416 - mask := 97068139937792 - certificate := .k4 3 [3, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 672 - mask := 3170683671261216768 - certificate := .k4 2 [2, 7, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1184 - mask := 7037183940624408 - certificate := .k4 0 [0, 3, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2464 - mask := 3479208730906 - certificate := .k4 0 [0, 1, 3, 5, 4] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8096 - mask := 9570170740698136 - certificate := .k4 0 [0, 3, 4, 1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨160, 36873221957681152, .sharedThree 2 6 0 1 7⟩, + ⟨416, 97068139937792, .k4 3 [3, 4, 5] 3 4 5 6⟩, + ⟨672, 3170683671261216768, .k4 2 [2, 7, 5] 2 3 5 7⟩, + ⟨1184, 7037183940624408, .k4 0 [0, 3, 4, 6] 0 3 4 6⟩, + ⟨8096, 9570170740698136, .k4 0 [0, 3, 4, 1, 2, 6] 1 2 5 6⟩ ], [ - { origin := 161 - mask := 36873224146911232 - certificate := .sharedThree 3 6 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 417 - mask := 97171219152896 - certificate := .k4 3 [3, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1185 - mask := 7037184745930776 - certificate := .k4 0 [0, 3, 6, 4] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2209 - mask := 3458980980179599360 - certificate := .k4 2 [2, 5, 7, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8097 - mask := 9570189742140436 - certificate := .k4 0 [0, 2, 4, 1, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨161, 36873224146911232, .sharedThree 3 6 0 1 7⟩, + ⟨417, 97171219152896, .k4 3 [3, 5, 4] 3 4 5 6⟩, + ⟨1185, 7037184745930776, .k4 0 [0, 3, 6, 4] 0 3 4 6⟩, + ⟨8097, 9570189742140436, .k4 0 [0, 2, 4, 1, 3, 6] 1 3 5 6⟩ ], [ - { origin := 162 - mask := 36873784589811712 - certificate := .sharedThree 4 6 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 418 - mask := 97205042020352 - certificate := .k4 3 [3, 4, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 674 - mask := 3458765218206711808 - certificate := .k4 2 [2, 4, 7] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1186 - mask := 9576746282279936 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1442 - mask := 10995720269070 - certificate := .k4 0 [0, 1, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2466 - mask := 5497610644494 - certificate := .k4 0 [0, 2, 3, 5, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨162, 36873784589811712, .sharedThree 4 6 0 1 7⟩, + ⟨418, 97205042020352, .k4 3 [3, 4, 5] 3 4 5 6⟩, + ⟨674, 3458765218206711808, .k4 2 [2, 4, 7] 2 4 5 7⟩, + ⟨1186, 9576746282279936, .k4 1 [1, 2, 5, 6] 1 2 5 6⟩, + ⟨1442, 10995720269070, .k4 0 [0, 1, 5, 3] 0 1 2 3⟩, + ⟨2466, 5497610644494, .k4 0 [0, 2, 3, 5, 1] 0 1 2 5⟩ ], [ - { origin := 163 - mask := 37017257972334592 - certificate := .sharedThree 5 6 0 1 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 419 - mask := 97205310455808 - certificate := .k4 3 [3, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 675 - mask := 3458765238327836672 - certificate := .k4 3 [3, 4, 7] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1187 - mask := 9576746284246016 - certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1443 - mask := 10995737046030 - certificate := .k4 0 [0, 3, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1955 - mask := 14073899159413010 - certificate := .k4 0 [0, 1, 4, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2467 - mask := 5497610710030 - certificate := .k4 0 [0, 3, 1, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4003 - mask := 723109218424504586 - certificate := .k4 0 [0, 1, 7, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4771 - mask := 97178483712266 - certificate := .k4 0 [0, 1, 3, 5, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨163, 37017257972334592, .sharedThree 5 6 0 1 7⟩, + ⟨419, 97205310455808, .k4 3 [3, 5, 4] 3 4 5 6⟩, + ⟨675, 3458765238327836672, .k4 3 [3, 4, 7] 3 4 5 7⟩, + ⟨1187, 9576746284246016, .k4 1 [1, 5, 6, 2] 1 2 5 6⟩, + ⟨1443, 10995737046030, .k4 0 [0, 3, 5, 1] 0 1 2 3⟩, + ⟨1955, 14073899159413010, .k4 0 [0, 1, 4, 6] 1 4 5 6⟩, + ⟨2467, 5497610710030, .k4 0 [0, 3, 1, 2, 5] 0 1 2 5⟩, + ⟨4003, 723109218424504586, .k4 0 [0, 1, 7, 3, 6] 0 1 3 6⟩, + ⟨4771, 97178483712266, .k4 0 [0, 1, 3, 5, 4] 1 4 5 6⟩ ], [ - { origin := 420 - mask := 142936522269696 - certificate := .k4 1 [1, 2, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1444 - mask := 10995753821454 - certificate := .k4 0 [0, 1, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5540 - mask := 12738941803307278 - certificate := .k4 0 [0, 1, 3, 5, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨420, 142936522269696, .k4 1 [1, 2, 5] 1 2 5 7⟩, + ⟨1444, 10995753821454, .k4 0 [0, 1, 5, 3] 0 1 2 3⟩, ], [ - { origin := 165 - mask := 37436174133886976 - certificate := .sharedThree 3 6 0 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 677 - mask := 3458927241552986112 - certificate := .k4 2 [2, 5, 7] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2469 - mask := 5497644785934 - certificate := .k4 0 [0, 1, 3, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3237 - mask := 5656078474805248 - certificate := .k4 2 [2, 4, 6, 5, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6053 - mask := 22170623478814 - certificate := .k4 0 [0, 2, 1, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8613 - mask := 1441172359171615758 - certificate := .k4 0 [0, 2, 7, 4, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨165, 37436174133886976, .sharedThree 3 6 0 2 7⟩, + ⟨677, 3458927241552986112, .k4 2 [2, 5, 7] 2 4 5 7⟩, + ⟨8613, 1441172359171615758, .k4 0 [0, 2, 7, 4, 5, 1] 0 1 2 3⟩ ], [ - { origin := 166 - mask := 37436743133167616 - certificate := .sharedThree 4 6 0 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 678 - mask := 3458931642540752896 - certificate := .k4 3 [3, 5, 7] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1190 - mask := 9581145431762944 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1702 - mask := 1970621189734678 - certificate := .k4 0 [0, 1, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2470 - mask := 5497644786702 - certificate := .k4 0 [0, 3, 2, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2726 - mask := 19954418262294 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4262 - mask := 4793237378406007046 - certificate := .k4 0 [0, 1, 2, 7, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4518 - mask := 22162336055310 - certificate := .k4 0 [0, 2, 5, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6566 - mask := 5348024647172382 - certificate := .k4 0 [0, 1, 3, 6, 2] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨166, 37436743133167616, .sharedThree 4 6 0 2 7⟩, + ⟨678, 3458931642540752896, .k4 3 [3, 5, 7] 3 4 5 7⟩, + ⟨1190, 9581145431762944, .k4 1 [1, 3, 5, 6] 1 3 5 6⟩, + ⟨1702, 1970621189734678, .k4 0 [0, 1, 4, 6] 0 2 4 6⟩, + ⟨2470, 5497644786702, .k4 0 [0, 3, 2, 1, 5] 0 1 2 5⟩, + ⟨4262, 4793237378406007046, .k4 0 [0, 1, 2, 7, 6] 0 1 2 6⟩, + ⟨6566, 5348024647172382, .k4 0 [0, 1, 3, 6, 2] 0 2 4 6⟩ ], [ - { origin := 167 - mask := 37582406949011456 - certificate := .sharedThree 5 6 0 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 423 - mask := 145135545525248 - certificate := .k4 1 [1, 2, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 935 - mask := 19954421212160 - certificate := .k4 1 [1, 5, 4, 2] 1 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1191 - mask := 9581145935079424 - certificate := .k4 1 [1, 5, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4263 - mask := 4793237378406007814 - certificate := .k4 0 [0, 2, 1, 7, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5031 - mask := 2814751177523486 - certificate := .k4 0 [0, 1, 2, 6, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6567 - mask := 5348025967395102 - certificate := .k4 0 [0, 1, 2, 6, 3] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6823 - mask := 10205692704203030 - certificate := .k4 0 [0, 1, 5, 6, 2, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨167, 37582406949011456, .sharedThree 5 6 0 2 7⟩, + ⟨423, 145135545525248, .k4 1 [1, 2, 5] 1 2 5 7⟩, + ⟨935, 19954421212160, .k4 1 [1, 5, 4, 2] 1 2 4 5⟩, + ⟨5031, 2814751177523486, .k4 0 [0, 1, 2, 6, 3] 0 2 3 4⟩, + ⟨6567, 5348025967395102, .k4 0 [0, 1, 2, 6, 3] 0 3 4 6⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets20 : Array (List HardEntry) := #[ [ - { origin := 672 - code := 8697238970799187230 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 6, 5, 7] 1 0 2 5 6 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1184 - code := 4146624913950796830 - certificate := .residual 1003398607615937 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5536 - code := 5591722952693571870 - certificate := .residual 3915951698029065 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5792 - code := 8155327640832107550 - certificate := .residual 4325651870951826 - valid := Certificate.valid_of_validB (by decide) } + ⟨672, 8697238970799187230, .hubPentagon 0 [0, 1, 2, 3, 4, 6, 5, 7] 1 0 2 5 6 4⟩, + ⟨1184, 4146624913950796830, .residual 1003398607615937⟩, + ⟨5536, 5591722952693571870, .residual 3915951698029065⟩, + ⟨5792, 8155327640832107550, .residual 4325651870951826⟩ ], [ - { origin := 673 - code := 8266578970781902110 - certificate := .residual 3918852948510086 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1185 - code := 4145503412090465310 - certificate := .residual 760926224276404 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5537 - code := 7825369142209470750 - certificate := .residual 269647263941104 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5793 - code := 6137715128029209630 - certificate := .residual 4176650863957269 - valid := Certificate.valid_of_validB (by decide) } + ⟨673, 8266578970781902110, .residual 3918852948510086⟩, + ⟨1185, 4145503412090465310, .residual 760926224276404⟩, + ⟨5537, 7825369142209470750, .residual 269647263941104⟩, + ⟨5793, 6137715128029209630, .residual 4176650863957269⟩ ], [ - { origin := 674 - code := 8697232399499224350 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 5 6 7 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1186 - code := 5420580933421132830 - certificate := .residual 3917860810886405 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5538 - code := 4149447388533285150 - certificate := .residual 4349966758980866 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5794 - code := 5563506175539471390 - certificate := .residual 4171148998268449 - valid := Certificate.valid_of_validB (by decide) } + ⟨674, 8697232399499224350, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 5 6 7 4⟩, + ⟨1186, 5420580933421132830, .residual 3917860810886405⟩, + ⟨5538, 4149447388533285150, .residual 4349966758980866⟩, + ⟨5794, 5563506175539471390, .residual 4171148998268449⟩ ], [ - { origin := 675 - code := 8689072911311136030 - certificate := .residual 1201555500719955 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1187 - code := 5420513029988183070 - certificate := .residual 1231054804926242 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5539 - code := 7797307423927230750 - certificate := .residual 3364804307463426 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5795 - code := 6136026303938749470 - certificate := .residual 2470976698174545 - valid := Certificate.valid_of_validB (by decide) } + ⟨675, 8689072911311136030, .residual 1201555500719955⟩, + ⟨1187, 5420513029988183070, .residual 1231054804926242⟩, + ⟨5539, 7797307423927230750, .residual 3364804307463426⟩, + ⟨5795, 6136026303938749470, .residual 2470976698174545⟩ ], [ - { origin := 676 - code := 6455284343629374750 - certificate := .residual 4278889880649894 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1188 - code := 3870997140361866270 - certificate := .residual 4347907321983243 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5540 - code := 3281954687505588510 - certificate := .residual 279504846112240 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5796 - code := 8661431066944988190 - certificate := .residual 3349285244307860 - valid := Certificate.valid_of_validB (by decide) } + ⟨676, 6455284343629374750, .residual 4278889880649894⟩, + ⟨1188, 3870997140361866270, .residual 4347907321983243⟩, + ⟨5540, 3281954687505588510, .residual 279504846112240⟩, + ⟨5796, 8661431066944988190, .residual 3349285244307860⟩ ], [ - { origin := 677 - code := 8688506675741287710 - certificate := .hubPentagon 0 [0, 1, 2, 4, 5, 6, 3, 7] 0 1 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1189 - code := 4158031522740464670 - certificate := .residual 3546628365007392 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5541 - code := 8659170591530737950 - certificate := .residual 261946920715760 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5797 - code := 3726877582424663070 - certificate := .residual 3323309281970835 - valid := Certificate.valid_of_validB (by decide) } + ⟨677, 8688506675741287710, .hubPentagon 0 [0, 1, 2, 4, 5, 6, 3, 7] 0 1 2 3 4 6⟩, + ⟨1189, 4158031522740464670, .residual 3546628365007392⟩, + ⟨5541, 8659170591530737950, .residual 261946920715760⟩, + ⟨5797, 3726877582424663070, .residual 3323309281970835⟩ ], [ - { origin := 678 - code := 6024071250642167070 - certificate := .residual 4403974365339923 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1190 - code := 2860165828355189790 - certificate := .residual 1261222955753265 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5542 - code := 5563591007921168670 - certificate := .residual 3793753402863874 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5798 - code := 3726822607682135070 - certificate := .residual 3280015953037716 - valid := Certificate.valid_of_validB (by decide) } + ⟨678, 6024071250642167070, .residual 4403974365339923⟩, + ⟨1190, 2860165828355189790, .residual 1261222955753265⟩, + ⟨5542, 5563591007921168670, .residual 3793753402863874⟩, + ⟨5798, 3726822607682135070, .residual 3280015953037716⟩ ], [ - { origin := 679 - code := 6031614906202809630 - certificate := .residual 4403974365339924 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1191 - code := 8153654609119964190 - certificate := .residual 1252428892774196 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5543 - code := 4149308163393511710 - certificate := .residual 4231787769637570 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5799 - code := 8661345306346644510 - certificate := .residual 3254039990700691 - valid := Certificate.valid_of_validB (by decide) } + ⟨679, 6031614906202809630, .residual 4403974365339924⟩, + ⟨1191, 8153654609119964190, .residual 1252428892774196⟩, + ⟨5543, 4149308163393511710, .residual 4231787769637570⟩, + ⟨5799, 8661345306346644510, .residual 3254039990700691⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData21.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData21.lean index 8b177b7c4..b5d4e7cda 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData21.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData21.lean @@ -13,412 +13,113 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets21 : Array (List PatternEntry) := #[ [ - { origin := 424 - mask := 145138297339904 - certificate := .k4 2 [2, 3, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2216 - mask := 3474747736396398592 - certificate := .k4 4 [4, 7, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4520 - mask := 22170623346974 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5032 - mask := 2814751177982238 - certificate := .k4 0 [0, 1, 6, 3, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨424, 145138297339904, .k4 2 [2, 3, 5] 2 3 5 7⟩, + ⟨2216, 3474747736396398592, .k4 4 [4, 7, 5, 6] 3 4 5 6⟩, + ⟨5032, 2814751177982238, .k4 0 [0, 1, 6, 3, 2] 0 2 3 4⟩ ], [ - { origin := 169 - mask := 38562071818338304 - certificate := .sharedThree 2 6 0 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 425 - mask := 145839921037312 - certificate := .k4 2 [2, 4, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2217 - mask := 3571849009859395584 - certificate := .k4 4 [4, 6, 7, 5] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3753 - mask := 11613042903115786 - certificate := .k4 0 [0, 3, 6, 5, 1] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4009 - mask := 731914107002871808 - certificate := .k4 1 [1, 7, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4777 - mask := 142936606679306 - certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7081 - mask := 12191831605395738 - certificate := .k4 0 [0, 1, 6, 5, 4] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨169, 38562071818338304, .sharedThree 2 6 0 3 7⟩, + ⟨425, 145839921037312, .k4 2 [2, 4, 5] 2 4 5 7⟩, + ⟨2217, 3571849009859395584, .k4 4 [4, 6, 7, 5] 0 5 6 7⟩, + ⟨3753, 11613042903115786, .k4 0 [0, 3, 6, 5, 1] 0 1 3 6⟩, + ⟨4009, 731914107002871808, .k4 1 [1, 7, 3, 5, 6] 1 3 5 6⟩, + ⟨7081, 12191831605395738, .k4 0 [0, 1, 6, 5, 4] 0 3 4 6⟩ ], [ - { origin := 170 - mask := 38562660219879424 - certificate := .sharedThree 4 6 0 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 426 - mask := 147334566683648 - certificate := .k4 1 [1, 2, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 682 - mask := 3602880397681139712 - certificate := .k4 1 [1, 7, 4] 1 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1450 - mask := 12094628113422 - certificate := .k4 0 [0, 2, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2218 - mask := 3576229326745501696 - certificate := .k4 4 [4, 5, 7, 6] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4010 - mask := 731914107539742720 - certificate := .k4 1 [1, 7, 3, 6, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4266 - mask := 4794363278362984714 - certificate := .k4 0 [0, 1, 3, 7, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4522 - mask := 22170673676318 - certificate := .k4 0 [0, 2, 3, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7082 - mask := 12384899566756110 - certificate := .k4 0 [0, 1, 2, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨170, 38562660219879424, .sharedThree 4 6 0 3 7⟩, + ⟨426, 147334566683648, .k4 1 [1, 2, 5] 1 2 5 7⟩, + ⟨682, 3602880397681139712, .k4 1 [1, 7, 4] 1 4 5 7⟩, + ⟨1450, 12094628113422, .k4 0 [0, 2, 1, 5] 0 1 3 5⟩, + ⟨2218, 3576229326745501696, .k4 4 [4, 5, 7, 6] 0 5 6 7⟩, + ⟨4010, 731914107539742720, .k4 1 [1, 7, 3, 6, 5] 1 3 5 6⟩, + ⟨4266, 4794363278362984714, .k4 0 [0, 1, 3, 7, 6] 0 1 3 6⟩, ], [ - { origin := 171 - mask := 38712704902365184 - certificate := .sharedThree 5 6 0 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 427 - mask := 147334568649728 - certificate := .k4 1 [1, 5, 2] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 683 - mask := 3603023334192709632 - certificate := .k4 4 [4, 7, 5] 1 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 939 - mask := 19972403243008 - certificate := .k4 1 [1, 5, 4, 3] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1451 - mask := 12094630600974 - certificate := .k4 0 [0, 1, 2, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2987 - mask := 2814750858234894 - certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4011 - mask := 792633536590021646 - certificate := .k4 0 [0, 3, 7, 1, 2] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5291 - mask := 9663629171376406 - certificate := .k4 0 [0, 1, 4, 6, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7083 - mask := 12384899566822666 - certificate := .k4 0 [0, 1, 3, 2, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9899 - mask := 2892931643075486734 - certificate := .k4 0 [0, 3, 7, 5, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10667 - mask := 4945023880594990358 - certificate := .k4 0 [0, 1, 4, 2, 7, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨171, 38712704902365184, .sharedThree 5 6 0 3 7⟩, + ⟨683, 3603023334192709632, .k4 4 [4, 7, 5] 1 4 5 7⟩, + ⟨939, 19972403243008, .k4 1 [1, 5, 4, 3] 1 3 4 5⟩, + ⟨1451, 12094630600974, .k4 0 [0, 1, 2, 5] 0 2 3 5⟩, + ⟨5291, 9663629171376406, .k4 0 [0, 1, 4, 6, 5] 0 2 4 5⟩, + ⟨7083, 12384899566822666, .k4 0 [0, 1, 3, 2, 6] 1 3 5 6⟩, + ⟨9899, 2892931643075486734, .k4 0 [0, 3, 7, 5, 1, 6] 0 1 2 6⟩, ], [ - { origin := 940 - mask := 20903605838098 - certificate := .k4 0 [0, 1, 4, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2988 - mask := 2814750875010318 - certificate := .k4 0 [0, 1, 2, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4524 - mask := 22170925334558 - certificate := .k4 0 [0, 2, 5, 4, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7084 - mask := 12384899634323722 - certificate := .k4 0 [0, 1, 3, 2, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10924 - mask := 2885263662928446486 - certificate := .k4 0 [0, 2, 4, 5, 7, 3, 6, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨940, 20903605838098, .k4 0 [0, 1, 4, 5] 0 1 4 5⟩, + ⟨7084, 12384899634323722, .k4 0 [0, 1, 3, 2, 6] 1 3 5 6⟩, + ⟨10924, 2885263662928446486, .k4 0 [0, 2, 4, 5, 7, 3, 6, 1] 0 1 2 4⟩ ], [ - { origin := 173 - mask := 40813871632547840 - certificate := .sharedThree 2 6 0 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 429 - mask := 147334568779776 - certificate := .k4 1 [1, 5, 2] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 685 - mask := 3746995044602609664 - certificate := .k4 2 [2, 4, 7] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1197 - mask := 9590361324281856 - certificate := .k4 1 [1, 5, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1709 - mask := 2814750924753934 - certificate := .k4 0 [0, 3, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1965 - mask := 14374327826800896 - certificate := .k4 1 [1, 6, 4, 5] 0 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3245 - mask := 5911253684012054 - certificate := .k4 0 [0, 2, 4, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7085 - mask := 12384900068106510 - certificate := .k4 0 [0, 1, 2, 3, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨173, 40813871632547840, .sharedThree 2 6 0 4 7⟩, + ⟨429, 147334568779776, .k4 1 [1, 5, 2] 1 2 5 7⟩, + ⟨685, 3746995044602609664, .k4 2 [2, 4, 7] 2 4 5 7⟩, + ⟨1709, 2814750924753934, .k4 0 [0, 3, 6, 1] 0 1 2 3⟩, ], [ - { origin := 174 - mask := 40813874055741440 - certificate := .sharedThree 3 6 0 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 686 - mask := 3746995577178554368 - certificate := .k4 2 [2, 7, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1198 - mask := 9642716982027264 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1710 - mask := 2814750941529358 - certificate := .k4 0 [0, 1, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2222 - mask := 3603029830901170176 - certificate := .k4 3 [3, 5, 7, 4] 1 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3246 - mask := 5911253684978966 - certificate := .k4 0 [0, 1, 4, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3502 - mask := 10207865956688134 - certificate := .k4 0 [0, 1, 2, 6, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4270 - mask := 4796615091011240210 - certificate := .k4 0 [0, 1, 4, 7, 6] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6062 - mask := 23231528447006 - certificate := .k4 0 [0, 3, 4, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8622 - mask := 2450103333113331998 - certificate := .k4 0 [0, 1, 3, 7, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨174, 40813874055741440, .sharedThree 3 6 0 4 7⟩, + ⟨686, 3746995577178554368, .k4 2 [2, 7, 4] 2 4 5 7⟩, + ⟨1198, 9642716982027264, .k4 1 [1, 2, 5, 6] 1 2 5 6⟩, + ⟨2222, 3603029830901170176, .k4 3 [3, 5, 7, 4] 1 3 4 7⟩, + ⟨4270, 4796615091011240210, .k4 0 [0, 1, 4, 7, 6] 0 1 4 6⟩, + ⟨6062, 23231528447006, .k4 0 [0, 3, 4, 1, 5] 0 1 2 5⟩, + ⟨8622, 2450103333113331998, .k4 0 [0, 1, 3, 7, 5, 2] 0 2 3 4⟩ ], [ - { origin := 175 - mask := 40973300809072640 - certificate := .sharedThree 5 6 0 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 431 - mask := 149536343851008 - certificate := .k4 2 [2, 3, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 687 - mask := 3746995594350034944 - certificate := .k4 2 [2, 4, 7] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1711 - mask := 2814750958306318 - certificate := .k4 0 [0, 3, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2735 - mask := 19971883149338 - certificate := .k4 0 [0, 3, 4, 5, 1] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6319 - mask := 158488599896338 - certificate := .k4 0 [0, 1, 4, 2, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7087 - mask := 12384900118962438 - certificate := .k4 0 [0, 1, 2, 3, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨175, 40973300809072640, .sharedThree 5 6 0 4 7⟩, + ⟨431, 149536343851008, .k4 2 [2, 3, 5] 2 3 5 7⟩, + ⟨687, 3746995594350034944, .k4 2 [2, 4, 7] 2 4 5 7⟩, + ⟨7087, 12384900118962438, .k4 0 [0, 1, 2, 3, 6] 1 2 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets21 : Array (List HardEntry) := #[ [ - { origin := 680 - code := 8694995735922566430 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 6, 5, 7] 1 0 2 5 6 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1192 - code := 7148788942262922270 - certificate := .residual 1557451065360065 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5544 - code := 4147065159672848670 - certificate := .residual 1743768118813285 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5800 - code := 8658053363130885150 - certificate := .residual 1006185302497203 - valid := Certificate.valid_of_validB (by decide) } + ⟨680, 8694995735922566430, .hubPentagon 0 [0, 1, 2, 3, 4, 6, 5, 7] 1 0 2 5 6 3⟩, + ⟨1192, 7148788942262922270, .residual 1557451065360065⟩, + ⟨5544, 4147065159672848670, .residual 1743768118813285⟩, + ⟨5800, 8658053363130885150, .residual 1006185302497203⟩ ], [ - { origin := 681 - code := 7690126770580972830 - certificate := .residual 3917770616636806 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1193 - code := 3870992639705902110 - certificate := .residual 2124303467080368 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5545 - code := 3285751730938241310 - certificate := .residual 2965307265735362 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5801 - code := 3871005840320947230 - certificate := .residual 4346704731131392 - valid := Certificate.valid_of_validB (by decide) } + ⟨681, 7690126770580972830, .residual 3917770616636806⟩, + ⟨1193, 3870992639705902110, .residual 2124303467080368⟩, + ⟨5545, 3285751730938241310, .residual 2965307265735362⟩, + ⟨5801, 3871005840320947230, .residual 4346704731131392⟩ ], [ - { origin := 682 - code := 8686829787667457310 - certificate := .residual 1200473168846675 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1194 - code := 2853406031337384990 - certificate := .residual 745345242176418 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5546 - code := 3858839181567648030 - certificate := .residual 3598364165457602 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5802 - code := 3294545062482600990 - certificate := .residual 2300026473644256 - valid := Certificate.valid_of_validB (by decide) } + ⟨682, 8686829787667457310, .residual 1200473168846675⟩, + ⟨1194, 2853406031337384990, .residual 745345242176418⟩, + ⟨5546, 3858839181567648030, .residual 3598364165457602⟩, + ⟨5802, 3294545062482600990, .residual 2300026473644256⟩ ], [ - { origin := 683 - code := 8694980342994658590 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 5 6 7 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1195 - code := 5163823246521953310 - certificate := .residual 4386519886533905 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5547 - code := 3284630229077909790 - certificate := .residual 3483757257779013 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5803 - code := 2862199524024837150 - certificate := .residual 4058030306505510 - valid := Certificate.valid_of_validB (by decide) } + ⟨683, 8694980342994658590, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 5 6 7 3⟩, + ⟨1195, 5163823246521953310, .residual 4386519886533905⟩, + ⟨5547, 3284630229077909790, .residual 3483757257779013⟩, + ⟨5803, 2862199524024837150, .residual 4058030306505510⟩ ], [ - { origin := 684 - code := 8686254751860614430 - certificate := .hubPentagon 0 [0, 1, 2, 3, 5, 6, 4, 7] 0 1 2 4 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1196 - code := 3140070683872619550 - certificate := .residual 4408292418399749 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5548 - code := 6428199943587160350 - certificate := .residual 1479374686682706 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5804 - code := 6463102140822512670 - certificate := .residual 4410321790404999 - valid := Certificate.valid_of_validB (by decide) } + ⟨684, 8686254751860614430, .hubPentagon 0 [0, 1, 2, 3, 5, 6, 4, 7] 0 1 2 4 3 6⟩, + ⟨1196, 3140070683872619550, .residual 4408292418399749⟩, + ⟨5548, 6428199943587160350, .residual 1479374686682706⟩, + ⟨5804, 6463102140822512670, .residual 4410321790404999⟩ ], [ - { origin := 685 - code := 5452902448340624670 - certificate := .residual 4395315711156500 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1197 - code := 2851840324900776990 - certificate := .residual 2516829114190386 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5549 - code := 6425956939866497310 - certificate := .residual 3598277794842311 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5805 - code := 3285751563637416990 - certificate := .residual 2300026473644257 - valid := Certificate.valid_of_validB (by decide) } + ⟨685, 5452902448340624670, .residual 4395315711156500⟩, + ⟨1197, 2851840324900776990, .residual 2516829114190386⟩, + ⟨5549, 6425956939866497310, .residual 3598277794842311⟩, + ⟨5805, 3285751563637416990, .residual 2300026473644257⟩ ], [ - { origin := 686 - code := 5447619063275808030 - certificate := .residual 4395315711156499 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1198 - code := 3145366056426040350 - certificate := .residual 316285286000881 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5550 - code := 5564643511131889950 - certificate := .residual 2112843219198546 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5806 - code := 6428199776286336030 - certificate := .residual 329821925048562 - valid := Certificate.valid_of_validB (by decide) } + ⟨686, 5447619063275808030, .residual 4395315711156499⟩, + ⟨1198, 3145366056426040350, .residual 316285286000881⟩, + ⟨5550, 5564643511131889950, .residual 2112843219198546⟩, + ⟨5806, 6428199776286336030, .residual 329821925048562⟩ ], [ - { origin := 687 - code := 6453032278568428830 - certificate := .residual 4209620647985318 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1199 - code := 2857909870174694430 - certificate := .residual 3755400116770066 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5551 - code := 6137730961761296670 - certificate := .residual 2745855209049682 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5807 - code := 2862131475133424670 - certificate := .residual 1076536984246195 - valid := Certificate.valid_of_validB (by decide) } + ⟨687, 6453032278568428830, .residual 4209620647985318⟩, + ⟨1199, 2857909870174694430, .residual 3755400116770066⟩, + ⟨5551, 6137730961761296670, .residual 2745855209049682⟩, + ⟨5807, 2862131475133424670, .residual 1076536984246195⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData22.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData22.lean index ffe1190a8..9fc7e269d 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData22.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData22.lean @@ -13,408 +13,114 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets22 : Array (List PatternEntry) := #[ [ - { origin := 176 - mask := 45317471250456832 - certificate := .sharedThree 1 6 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 432 - mask := 150258088673280 - certificate := .k4 3 [3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 688 - mask := 3746995594357374976 - certificate := .k4 2 [2, 7, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1200 - mask := 9642718619772928 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2992 - mask := 2814750908566542 - certificate := .k4 0 [0, 2, 3, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3248 - mask := 5911253688140822 - certificate := .k4 0 [0, 4, 6, 2, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5040 - mask := 2814802716016926 - certificate := .k4 0 [0, 1, 6, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8624 - mask := 2450103371482824990 - certificate := .k4 0 [0, 1, 4, 7, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨176, 45317471250456832, .sharedThree 1 6 0 5 7⟩, + ⟨432, 150258088673280, .k4 3 [3, 4, 5] 3 4 5 7⟩, + ⟨3248, 5911253688140822, .k4 0 [0, 4, 6, 2, 1] 0 1 2 6⟩, ], [ - { origin := 177 - mask := 45317471260966912 - certificate := .sharedThree 2 6 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 689 - mask := 3747140729881755648 - certificate := .k4 4 [4, 7, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 945 - mask := 21036749824274 - certificate := .k4 0 [0, 1, 5, 4] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1969 - mask := 14636889651806208 - certificate := .k4 2 [2, 4, 6, 3] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2225 - mask := 3747144426516381696 - certificate := .k4 2 [2, 7, 5, 3] 2 3 4 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨177, 45317471260966912, .sharedThree 2 6 0 5 7⟩, + ⟨689, 3747140729881755648, .k4 4 [4, 7, 5] 2 4 5 7⟩, + ⟨945, 21036749824274, .k4 0 [0, 1, 5, 4] 0 1 4 5⟩, ], [ - { origin := 178 - mask := 45317473951547392 - certificate := .sharedThree 3 6 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 690 - mask := 3747153219658186752 - certificate := .k4 2 [2, 7, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 946 - mask := 22016005645312 - certificate := .k4 1 [1, 2, 4, 5] 1 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1458 - mask := 12270721573146 - certificate := .k4 0 [0, 1, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1970 - mask := 14636990850032640 - certificate := .k4 1 [1, 2, 4, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2994 - mask := 2814750941724942 - certificate := .k4 0 [0, 1, 2, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6578 - mask := 5629778812470558 - certificate := .k4 0 [0, 1, 4, 6, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8626 - mask := 2450107731744489758 - certificate := .k4 0 [0, 1, 2, 7, 5, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10674 - mask := 4945031569138122782 - certificate := .k4 0 [0, 3, 4, 5, 6, 7, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨178, 45317473951547392, .sharedThree 3 6 0 5 7⟩, + ⟨690, 3747153219658186752, .k4 2 [2, 7, 5] 2 4 5 7⟩, + ⟨1458, 12270721573146, .k4 0 [0, 1, 4, 5] 0 3 4 5⟩, + ⟨2994, 2814750941724942, .k4 0 [0, 1, 2, 6, 3] 0 1 2 3⟩, + ⟨10674, 4945031569138122782, .k4 0 [0, 3, 4, 5, 6, 7, 2] 0 1 2 4⟩ ], [ - { origin := 179 - mask := 45318162740150272 - certificate := .sharedThree 4 6 0 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 691 - mask := 4035225440875446272 - certificate := .k4 3 [3, 4, 7] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10931 - mask := 2892085062324536598 - certificate := .k4 0 [0, 1, 2, 6, 5, 7, 3, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨179, 45318162740150272, .sharedThree 4 6 0 5 7⟩, + ⟨691, 4035225440875446272, .k4 3 [3, 4, 7] 3 4 5 7⟩, + ⟨10931, 2892085062324536598, .k4 0 [0, 1, 2, 6, 5, 7, 3, 4] 0 1 2 4⟩ ], [ - { origin := 180 - mask := 45598946237743104 - certificate := .sharedThree 2 6 1 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 436 - mask := 151735322583040 - certificate := .k4 1 [1, 5, 3] 1 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 692 - mask := 4035225956271521792 - certificate := .k4 3 [3, 7, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 948 - mask := 22042379812864 - certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1204 - mask := 9644916003202048 - certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1716 - mask := 3096224744033294 - certificate := .k4 0 [0, 2, 1, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1972 - mask := 14637115403993108 - certificate := .k4 0 [0, 2, 4, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4532 - mask := 26530616970526 - certificate := .k4 0 [0, 1, 4, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9908 - mask := 3458909134246716430 - certificate := .k4 0 [0, 2, 3, 4, 7, 5, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10932 - mask := 2892647981982485526 - certificate := .k4 0 [0, 2, 4, 6, 5, 7, 3, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨180, 45598946237743104, .sharedThree 2 6 1 5 7⟩, + ⟨436, 151735322583040, .k4 1 [1, 5, 3] 1 3 5 7⟩, + ⟨692, 4035225956271521792, .k4 3 [3, 7, 4] 3 4 5 7⟩, + ⟨948, 22042379812864, .k4 2 [2, 3, 4, 5] 2 3 4 5⟩, + ⟨1204, 9644916003202048, .k4 1 [1, 2, 6, 5] 1 2 5 6⟩, + ⟨1716, 3096224744033294, .k4 0 [0, 2, 1, 6] 0 1 3 6⟩, + ⟨1972, 14637115403993108, .k4 0 [0, 2, 4, 6] 2 4 5 6⟩, + ⟨10932, 2892647981982485526, .k4 0 [0, 2, 4, 6, 5, 7, 3, 1] 0 1 2 4⟩ ], [ - { origin := 181 - mask := 45598948945035264 - certificate := .sharedThree 3 6 1 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 437 - mask := 153933853491200 - certificate := .k4 2 [2, 3, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 693 - mask := 4035225988483776512 - certificate := .k4 3 [3, 4, 7] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 949 - mask := 22042581139456 - certificate := .k4 2 [2, 4, 5, 3] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1205 - mask := 9644916005168128 - certificate := .k4 1 [1, 6, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1717 - mask := 3096224748617998 - certificate := .k4 0 [0, 1, 2, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5301 - mask := 10133099218299916 - certificate := .k4 0 [0, 2, 3, 6, 1] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨181, 45598948945035264, .sharedThree 3 6 1 5 7⟩, + ⟨437, 153933853491200, .k4 2 [2, 3, 5] 2 3 5 7⟩, + ⟨693, 4035225988483776512, .k4 3 [3, 4, 7] 3 4 5 7⟩, + ⟨949, 22042581139456, .k4 2 [2, 4, 5, 3] 2 3 4 5⟩, + ⟨1205, 9644916005168128, .k4 1 [1, 6, 5, 2] 1 2 5 6⟩, + ⟨1717, 3096224748617998, .k4 0 [0, 1, 2, 6] 0 2 3 6⟩, + ⟨5301, 10133099218299916, .k4 0 [0, 2, 3, 6, 1] 1 2 5 6⟩ ], [ - { origin := 182 - mask := 45599642011828224 - certificate := .sharedThree 4 6 1 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 438 - mask := 153934323253248 - certificate := .k4 2 [2, 5, 3] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 694 - mask := 4035225990362824704 - certificate := .k4 3 [3, 7, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 950 - mask := 22136264729600 - certificate := .k4 1 [1, 2, 5, 4] 1 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1974 - mask := 14709567204123648 - certificate := .k4 1 [1, 5, 6, 4] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5302 - mask := 10133099252441354 - certificate := .k4 0 [0, 1, 3, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5558 - mask := 13583667297264918 - certificate := .k4 0 [0, 1, 5, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨182, 45599642011828224, .sharedThree 4 6 1 5 7⟩, + ⟨438, 153934323253248, .k4 2 [2, 5, 3] 2 3 5 7⟩, + ⟨950, 22136264729600, .k4 1 [1, 2, 5, 4] 1 2 4 5⟩, + ⟨1974, 14709567204123648, .k4 1 [1, 5, 6, 4] 1 2 4 6⟩, ], [ - { origin := 183 - mask := 46161896180589568 - certificate := .sharedThree 1 6 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 439 - mask := 153934388264960 - certificate := .k4 2 [2, 3, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 695 - mask := 4035375521259847680 - certificate := .k4 4 [4, 7, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 951 - mask := 22153442501632 - certificate := .k4 1 [1, 2, 4, 5] 1 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1207 - mask := 9644916005298176 - certificate := .k4 1 [1, 6, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1463 - mask := 13194948575260 - certificate := .k4 0 [0, 2, 5, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2231 - mask := 4793032869243053056 - certificate := .k4 1 [1, 5, 7, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4279 - mask := 4936789616540845318 - certificate := .k4 0 [0, 1, 2, 7, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5559 - mask := 13583671592231958 - certificate := .k4 0 [0, 4, 6, 5, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10679 - mask := 4945040532180109598 - certificate := .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10935 - mask := 3463977023622956046 - certificate := .k4 0 [0, 2, 3, 5, 7, 4, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨183, 46161896180589568, .sharedThree 1 6 2 5 7⟩, + ⟨439, 153934388264960, .k4 2 [2, 3, 5] 2 3 5 7⟩, + ⟨695, 4035375521259847680, .k4 4 [4, 7, 5] 3 4 5 7⟩, + ⟨951, 22153442501632, .k4 1 [1, 2, 4, 5] 1 2 4 5⟩, + ⟨1207, 9644916005298176, .k4 1 [1, 6, 5, 2] 1 2 5 6⟩, + ⟨1463, 13194948575260, .k4 0 [0, 2, 5, 3] 0 2 3 4⟩, + ⟨2231, 4793032869243053056, .k4 1 [1, 5, 7, 6] 1 2 5 6⟩, + ⟨4279, 4936789616540845318, .k4 0 [0, 1, 2, 7, 6] 0 1 2 6⟩, + ⟨10935, 3463977023622956046, .k4 0 [0, 2, 3, 5, 7, 4, 6, 1] 0 1 2 3⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets22 : Array (List HardEntry) := #[ [ - { origin := 688 - code := 5446478027099301150 - certificate := .residual 1180592915422816 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1200 - code := 8190520808261053470 - certificate := .residual 3340489419434384 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5552 - code := 5563522009271558430 - certificate := .residual 3795001091000460 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5808 - code := 8661921326120494110 - certificate := .residual 3792550812012032 - valid := Certificate.valid_of_validB (by decide) } + ⟨688, 5446478027099301150, .residual 1180592915422816⟩, + ⟨1200, 8190520808261053470, .residual 3340489419434384⟩, + ⟨5552, 5563522009271558430, .residual 3795001091000460⟩, + ⟨5808, 8661921326120494110, .residual 3792550812012032⟩ ], [ - { origin := 689 - code := 6020686714341254430 - certificate := .residual 1180591036317280 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1201 - code := 7175172822746557470 - certificate := .residual 1385418510359858 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5553 - code := 5419406829785637150 - certificate := .residual 1440100703976482 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5809 - code := 8659669500771886110 - certificate := .residual 2300146762088672 - valid := Certificate.valid_of_validB (by decide) } + ⟨689, 6020686714341254430, .residual 1180591036317280⟩, + ⟨1201, 7175172822746557470, .residual 1385418510359858⟩, + ⟨5553, 5419406829785637150, .residual 1440100703976482⟩, + ⟨5809, 8659669500771886110, .residual 2300146762088672⟩ ], [ - { origin := 690 - code := 8695556580571833630 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1202 - code := 3714156749630499870 - certificate := .residual 1836423914256849 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5554 - code := 5559581359832490270 - certificate := .residual 2488895302259746 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5810 - code := 8657980676681425950 - certificate := .residual 3495217674597158 - valid := Certificate.valid_of_validB (by decide) } + ⟨690, 8695556580571833630, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 4⟩, + ⟨1202, 3714156749630499870, .residual 1836423914256849⟩, + ⟨5554, 5559581359832490270, .residual 2488895302259746⟩, + ⟨5810, 8657980676681425950, .residual 3495217674597158⟩ ], [ - { origin := 691 - code := 8262373201368802590 - certificate := .residual 3364699080770950 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1203 - code := 6171834931792604190 - certificate := .residual 2466096771748179 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5555 - code := 7654243378631205150 - certificate := .residual 1076503153121200 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5811 - code := 8185658630621291550 - certificate := .residual 3917740551801223 - valid := Certificate.valid_of_validB (by decide) } + ⟨691, 8262373201368802590, .residual 3364699080770950⟩, + ⟨1203, 6171834931792604190, .residual 2466096771748179⟩, + ⟨5555, 7654243378631205150, .residual 1076503153121200⟩, + ⟨5811, 8185658630621291550, .residual 3917740551801223⟩ ], [ - { origin := 692 - code := 8693867756481373470 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 6 5 7 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1204 - code := 7172921005954329630 - certificate := .residual 2439850161576241 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5556 - code := 5420588367487361310 - certificate := .residual 271811993518576 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5812 - code := 3862203246043653150 - certificate := .residual 329701636604146 - valid := Certificate.valid_of_validB (by decide) } + ⟨692, 8693867756481373470, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 6 5 7 4⟩, + ⟨1204, 7172921005954329630, .residual 2439850161576241⟩, + ⟨5556, 5420588367487361310, .residual 271811993518576⟩, + ⟨5812, 3862203246043653150, .residual 329701636604146⟩ ], [ - { origin := 693 - code := 8694645099340719390 - certificate := .residual 1201420201910099 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1205 - code := 6137214037938170910 - certificate := .residual 2457438184773940 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5557 - code := 7654234557003260190 - certificate := .residual 3792806362688009 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5813 - code := 6425956498761507870 - certificate := .residual 2300146762088673 - valid := Certificate.valid_of_validB (by decide) } + ⟨693, 8694645099340719390, .residual 1201420201910099⟩, + ⟨1205, 6137214037938170910, .residual 2457438184773940⟩, + ⟨5557, 7654234557003260190, .residual 3792806362688009⟩, + ⟨5813, 6425956498761507870, .residual 2300146762088673⟩ ], [ - { origin := 694 - code := 4154172533488968990 - certificate := .residual 4270231219241126 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1206 - code := 5993101048885570590 - certificate := .residual 2762475386139841 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5558 - code := 7650870051422265630 - certificate := .residual 3792806362688008 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5814 - code := 3150416706054251550 - certificate := .residual 3323172111280787 - valid := Certificate.valid_of_validB (by decide) } + ⟨694, 4154172533488968990, .residual 4270231219241126⟩, + ⟨1206, 5993101048885570590, .residual 2762475386139841⟩, + ⟨5558, 7650870051422265630, .residual 3792806362688008⟩, + ⟨5814, 3150416706054251550, .residual 3323172111280787⟩ ], [ - { origin := 695 - code := 8693798488305788190 - certificate := .hubPentagon 0 [0, 1, 2, 4, 5, 6, 3, 7] 0 1 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1207 - code := 2858191212510735390 - certificate := .residual 2277590691181794 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5559 - code := 8688935906493784350 - certificate := .residual 3916898738204930 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5815 - code := 3150353183487943710 - certificate := .residual 3271220128164244 - valid := Certificate.valid_of_validB (by decide) } + ⟨695, 8693798488305788190, .hubPentagon 0 [0, 1, 2, 4, 5, 6, 3, 7] 0 1 2 3 4 5⟩, + ⟨1207, 2858191212510735390, .residual 2277590691181794⟩, + ⟨5559, 8688935906493784350, .residual 3916898738204930⟩, + ⟨5815, 3150353183487943710, .residual 3271220128164244⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData23.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData23.lean index 62f137ec0..90c3cbdd0 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData23.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData23.lean @@ -13,360 +13,103 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets23 : Array (List PatternEntry) := #[ [ - { origin := 184 - mask := 46161898932011008 - certificate := .sharedThree 3 6 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 440 - mask := 153934389837824 - certificate := .k4 2 [2, 5, 3] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 696 - mask := 4035383598751154176 - certificate := .k4 3 [3, 7, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1208 - mask := 9647115026441216 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1464 - mask := 13194965286940 - certificate := .k4 0 [0, 3, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2744 - mask := 21032457085974 - certificate := .k4 0 [0, 4, 5, 1, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3000 - mask := 2814764027756826 - certificate := .k4 0 [0, 1, 4, 6, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4024 - mask := 864691169602306076 - certificate := .k4 0 [0, 4, 3, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4280 - mask := 4936789616540910854 - certificate := .k4 0 [0, 1, 2, 7, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4536 - mask := 26530651176990 - certificate := .k4 0 [0, 4, 5, 3, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨440, 153934389837824, .k4 2 [2, 5, 3] 2 3 5 7⟩, + ⟨696, 4035383598751154176, .k4 3 [3, 7, 5] 3 4 5 7⟩, + ⟨1208, 9647115026441216, .k4 1 [1, 2, 5, 6] 1 2 5 6⟩, + ⟨1464, 13194965286940, .k4 0 [0, 3, 5, 2] 0 2 3 4⟩, + ⟨2744, 21032457085974, .k4 0 [0, 4, 5, 1, 2] 0 1 2 5⟩, + ⟨4280, 4936789616540910854, .k4 0 [0, 1, 2, 7, 6] 0 1 2 6⟩, ], [ - { origin := 185 - mask := 46162600555184128 - certificate := .sharedThree 4 6 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 697 - mask := 4729273289459892224 - certificate := .k4 5 [5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4281 - mask := 4937071092621265920 - certificate := .k4 1 [1, 2, 3, 7, 6] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5561 - mask := 13583684477135130 - certificate := .k4 0 [0, 1, 5, 6, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨697, 4729273289459892224, .k4 5 [5, 6, 7] 0 5 6 7⟩, + ⟨4281, 4937071092621265920, .k4 1 [1, 2, 3, 7, 6] 1 2 3 6⟩, ], [ - { origin := 442 - mask := 159034060570624 - certificate := .k4 2 [2, 4, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 698 - mask := 4755801206516007936 - certificate := .k4 1 [1, 2, 7] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1466 - mask := 13195031871516 - certificate := .k4 0 [0, 3, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4794 - mask := 143640897855750 - certificate := .k4 0 [0, 1, 2, 5, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5306 - mask := 10133120643916050 - certificate := .k4 0 [0, 1, 4, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨442, 159034060570624, .k4 2 [2, 4, 5] 2 4 5 7⟩, + ⟨698, 4755801206516007936, .k4 1 [1, 2, 7] 1 2 6 7⟩, + ⟨4794, 143640897855750, .k4 0 [0, 1, 2, 5, 4] 2 4 5 7⟩, ], [ - { origin := 187 - mask := 47287796098400256 - certificate := .sharedThree 2 6 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 443 - mask := 159054181695488 - certificate := .k4 3 [3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2747 - mask := 21033008506906 - certificate := .k4 0 [0, 3, 4, 5, 1] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8891 - mask := 83602348138774 - certificate := .k4 0 [0, 1, 2, 4, 3, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨187, 47287796098400256, .sharedThree 2 6 3 5 7⟩, + ⟨443, 159054181695488, .k4 3 [3, 4, 5] 3 4 5 7⟩, + ⟨8891, 83602348138774, .k4 0 [0, 1, 2, 4, 3, 5] 1 2 5 6⟩ ], [ - { origin := 188 - mask := 47288517641895936 - certificate := .sharedThree 4 6 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1212 - mask := 9649315152685056 - certificate := .k4 1 [1, 3, 6, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1724 - mask := 3096538276446490 - certificate := .k4 0 [0, 1, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨188, 47288517641895936, .sharedThree 4 6 3 5 7⟩, + ⟨1212, 9649315152685056, .k4 1 [1, 3, 6, 5] 1 3 5 6⟩, + ⟨1724, 3096538276446490, .k4 0 [0, 1, 4, 6] 0 3 4 6⟩ ], [ - { origin := 701 - mask := 4793518853395185664 - certificate := .k4 2 [2, 6, 7] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 957 - mask := 22180019044352 - certificate := .k4 2 [2, 5, 4, 3] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1213 - mask := 9649315656001536 - certificate := .k4 1 [1, 6, 5, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2237 - mask := 4797459803704181760 - certificate := .k4 1 [1, 7, 6, 4] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2749 - mask := 21033025284122 - certificate := .k4 0 [0, 4, 5, 1, 3] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3517 - mask := 10208965468235014 - certificate := .k4 0 [0, 1, 2, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6333 - mask := 161099938997268 - certificate := .k4 0 [0, 2, 4, 1, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨701, 4793518853395185664, .k4 2 [2, 6, 7] 1 2 6 7⟩, + ⟨1213, 9649315656001536, .k4 1 [1, 6, 5, 3] 1 3 5 6⟩, + ⟨2749, 21033025284122, .k4 0 [0, 4, 5, 1, 3] 0 1 3 5⟩, ], [ - { origin := 190 - mask := 49539595912609792 - certificate := .sharedThree 2 6 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 702 - mask := 4794644756544094208 - certificate := .k4 3 [3, 6, 7] 1 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 958 - mask := 23111221182484 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1214 - mask := 9649315689539584 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1470 - mask := 14294204818702 - certificate := .k4 0 [0, 1, 3, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1726 - mask := 3377700849451022 - certificate := .k4 0 [0, 3, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4030 - mask := 864718221990166528 - certificate := .k4 2 [2, 3, 7, 5, 4] 2 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8638 - mask := 2461709777572036878 - certificate := .k4 0 [0, 1, 2, 7, 5, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10430 - mask := 1297059413163016474 - certificate := .k4 0 [0, 1, 7, 4, 5, 2, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨190, 49539595912609792, .sharedThree 2 6 4 5 7⟩, + ⟨702, 4794644756544094208, .k4 3 [3, 6, 7] 1 3 6 7⟩, + ⟨958, 23111221182484, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, + ⟨1214, 9649315689539584, .k4 1 [1, 3, 5, 6] 1 3 5 6⟩, + ⟨1470, 14294204818702, .k4 0 [0, 1, 3, 5] 0 1 2 5⟩, ], [ - { origin := 191 - mask := 49539598853865472 - certificate := .sharedThree 3 6 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 447 - mask := 161224482398208 - certificate := .k4 1 [1, 5, 4] 1 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 703 - mask := 4796897386326654976 - certificate := .k4 4 [4, 6, 7] 1 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 959 - mask := 23111222165524 - certificate := .k4 0 [0, 4, 2, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1215 - mask := 9649315689553920 - certificate := .k4 1 [1, 6, 5, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1983 - mask := 15762908812673024 - certificate := .k4 2 [2, 3, 4, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨191, 49539598853865472, .sharedThree 3 6 4 5 7⟩, + ⟨447, 161224482398208, .k4 1 [1, 5, 4] 1 4 5 7⟩, + ⟨703, 4796897386326654976, .k4 4 [4, 6, 7] 1 4 6 7⟩, + ⟨959, 23111222165524, .k4 0 [0, 4, 2, 5] 0 2 4 5⟩, + ⟨1215, 9649315689553920, .k4 1 [1, 6, 5, 3] 1 3 5 6⟩, + ⟨1983, 15762908812673024, .k4 2 [2, 3, 4, 6] 2 3 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets23 : Array (List HardEntry) := #[ [ - { origin := 696 - code := 3723520191431927070 - certificate := .residual 4334705125450003 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1208 - code := 3136570097621560350 - certificate := .residual 3532334445632161 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5560 - code := 4149307752687264030 - certificate := .residual 3918146426341516 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5816 - code := 8659170047632204830 - certificate := .residual 3340489419434388 - valid := Certificate.valid_of_validB (by decide) } + ⟨696, 3723520191431927070, .residual 4334705125450003⟩, + ⟨1208, 3136570097621560350, .residual 3532334445632161⟩, + ⟨5560, 4149307752687264030, .residual 3918146426341516⟩, + ⟨5816, 8659170047632204830, .residual 3340489419434388⟩ ], [ - { origin := 697 - code := 3718236806367110430 - certificate := .residual 4334705125450004 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1209 - code := 2849465621376691230 - certificate := .residual 3535686768138901 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5561 - code := 3862203276442394910 - certificate := .residual 2112813121397330 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5817 - code := 8659093382465971230 - certificate := .residual 3253902820010643 - valid := Certificate.valid_of_validB (by decide) } + ⟨697, 3718236806367110430, .residual 4334705125450004⟩, + ⟨1209, 2849465621376691230, .residual 3535686768138901⟩, + ⟨5561, 3862203276442394910, .residual 2112813121397330⟩, + ⟨5817, 8659093382465971230, .residual 3253902820010643⟩ ], [ - { origin := 698 - code := 8697799490038621470 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1210 - code := 6172613626560015390 - certificate := .residual 941840974194625 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5562 - code := 4147064748966600990 - certificate := .residual 2605151948312146 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5818 - code := 6460859423606891550 - certificate := .residual 4411419154721159 - valid := Certificate.valid_of_validB (by decide) } + ⟨698, 8697799490038621470, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 6 5 3⟩, + ⟨1210, 6172613626560015390, .residual 941840974194625⟩, + ⟨5562, 4147064748966600990, .residual 2605151948312146⟩, + ⟨5818, 6460859423606891550, .residual 4411419154721159⟩ ], [ - { origin := 699 - code := 7688164141790618910 - certificate := .residual 3363616748897670 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1211 - code := 6171492124699683870 - certificate := .residual 822483828394932 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5563 - code := 3858838770861400350 - certificate := .residual 3598243905914567 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5819 - code := 7609207234720097310 - certificate := .residual 3918837916117383 - valid := Certificate.valid_of_validB (by decide) } + ⟨699, 7688164141790618910, .residual 3363616748897670⟩, + ⟨1211, 6171492124699683870, .residual 822483828394932⟩, + ⟨5563, 3858838770861400350, .residual 3598243905914567⟩, + ⟨5819, 7609207234720097310, .residual 3918837916117383⟩ ], [ - { origin := 700 - code := 8696888256942531870 - certificate := .residual 1200337870036819 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1212 - code := 3858394537765923870 - certificate := .residual 831277788613553 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5564 - code := 3284629818371662110 - certificate := .residual 1620108045221458 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5820 - code := 3870997164017771550 - certificate := .residual 1738176031678688 - valid := Certificate.valid_of_validB (by decide) } + ⟨700, 8696888256942531870, .residual 1200337870036819⟩, + ⟨1212, 3858394537765923870, .residual 831277788613553⟩, + ⟨5564, 3284629818371662110, .residual 1620108045221458⟩, + ⟨5820, 3870997164017771550, .residual 1738176031678688⟩ ], [ - { origin := 701 - code := 8693858840599553310 - certificate := .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 6 5 7 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1213 - code := 2857909737550801950 - certificate := .residual 3362744870465797 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5565 - code := 6428199532880912670 - certificate := .residual 3483791146706757 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5821 - code := 3294536386179425310 - certificate := .residual 4346719763574272 - valid := Certificate.valid_of_validB (by decide) } + ⟨701, 8693858840599553310, .cycleStrip 0 [0, 1, 2, 3, 4, 5, 6, 7] 0 2 1 6 5 7 3⟩, + ⟨1213, 2857909737550801950, .residual 3362744870465797⟩, + ⟨5565, 6428199532880912670, .residual 3483791146706757⟩, + ⟨5821, 3294536386179425310, .residual 4346719763574272⟩ ], [ - { origin := 702 - code := 8693789841949943070 - certificate := .hubPentagon 0 [0, 1, 2, 3, 5, 6, 4, 7] 0 1 2 4 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1214 - code := 2849465617098501150 - certificate := .residual 1785343964149538 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5566 - code := 6141095056636043550 - certificate := .residual 4090932426791618 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5822 - code := 2862190847721661470 - certificate := .residual 4058032185611046 - valid := Certificate.valid_of_validB (by decide) } + ⟨702, 8693789841949943070, .hubPentagon 0 [0, 1, 2, 3, 5, 6, 4, 7] 0 1 2 4 3 5⟩, + ⟨1214, 2849465617098501150, .residual 1785343964149538⟩, + ⟨5566, 6141095056636043550, .residual 4090932426791618⟩, + ⟨5822, 2862190847721661470, .residual 4058032185611046⟩ ], [ - { origin := 703 - code := 3141767489127671070 - certificate := .residual 4326046471266580 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1215 - code := 2860161430275517470 - certificate := .residual 837910979072946 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5567 - code := 6425956529160249630 - certificate := .residual 3598638605584066 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5823 - code := 3285751593451054110 - certificate := .residual 260432403939570 - valid := Certificate.valid_of_validB (by decide) } + ⟨703, 3141767489127671070, .residual 4326046471266580⟩, + ⟨1215, 2860161430275517470, .residual 837910979072946⟩, + ⟨5567, 6425956529160249630, .residual 3598638605584066⟩, + ⟨5823, 3285751593451054110, .residual 260432403939570⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData24.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData24.lean index f2100d1fe..11236754f 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData24.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData24.lean @@ -13,420 +13,119 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets24 : Array (List PatternEntry) := #[ [ - { origin := 192 - mask := 1008806316530991118 - certificate := .sharedThree 0 7 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 448 - mask := 163294668128256 - certificate := .k4 2 [2, 4, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 704 - mask := 4899916394591863808 - certificate := .k4 1 [1, 2, 7] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 960 - mask := 23231479218196 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1984 - mask := 15763016129708056 - certificate := .k4 0 [0, 3, 4, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2240 - mask := 4800837202783429632 - certificate := .k4 1 [1, 2, 7, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10944 - mask := 3468546353679385870 - certificate := .k4 0 [0, 1, 2, 6, 5, 7, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨192, 1008806316530991118, .sharedThree 0 7 1 2 3⟩, + ⟨448, 163294668128256, .k4 2 [2, 4, 5] 2 4 5 7⟩, + ⟨704, 4899916394591863808, .k4 1 [1, 2, 7] 1 2 6 7⟩, + ⟨960, 23231479218196, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, + ⟨1984, 15763016129708056, .k4 0 [0, 3, 4, 6] 3 4 5 6⟩, + ⟨2240, 4800837202783429632, .k4 1 [1, 2, 7, 6] 1 2 5 6⟩, + ⟨10944, 3468546353679385870, .k4 0 [0, 1, 2, 6, 5, 7, 4, 3] 0 1 2 3⟩ ], [ - { origin := 193 - mask := 1585267068834414614 - certificate := .sharedThree 0 7 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 449 - mask := 163414927212544 - certificate := .k4 2 [2, 5, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 705 - mask := 4899916397880541184 - certificate := .k4 2 [2, 3, 7] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 961 - mask := 23231481249812 - certificate := .k4 0 [0, 4, 5, 2] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1473 - mask := 14315129667612 - certificate := .k4 0 [0, 4, 2, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1729 - mask := 3377701068537884 - certificate := .k4 0 [0, 2, 6, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3265 - mask := 6755692909232156 - certificate := .k4 0 [0, 2, 4, 6, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨193, 1585267068834414614, .sharedThree 0 7 1 2 4⟩, + ⟨449, 163414927212544, .k4 2 [2, 5, 4] 2 4 5 7⟩, + ⟨705, 4899916397880541184, .k4 2 [2, 3, 7] 2 3 6 7⟩, + ⟨961, 23231481249812, .k4 0 [0, 4, 5, 2] 0 2 4 5⟩, + ⟨1473, 14315129667612, .k4 0 [0, 4, 2, 5] 0 2 3 5⟩, + ⟨1729, 3377701068537884, .k4 0 [0, 2, 6, 3] 0 2 3 4⟩, ], [ - { origin := 194 - mask := 1873497444986126362 - certificate := .sharedThree 0 7 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 450 - mask := 163432104984576 - certificate := .k4 2 [2, 4, 5] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 706 - mask := 4899917236406321152 - certificate := .k4 2 [2, 4, 7] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 962 - mask := 23244364120084 - certificate := .k4 0 [0, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1218 - mask := 9651514679240704 - certificate := .k4 1 [1, 5, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1474 - mask := 14333178282012 - certificate := .k4 0 [0, 4, 3, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1730 - mask := 3377701085249564 - certificate := .k4 0 [0, 3, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1986 - mask := 15835484290836480 - certificate := .k4 1 [1, 5, 6, 4] 1 3 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨194, 1873497444986126362, .sharedThree 0 7 1 3 4⟩, + ⟨450, 163432104984576, .k4 2 [2, 4, 5] 2 4 5 7⟩, + ⟨706, 4899917236406321152, .k4 2 [2, 4, 7] 2 4 6 7⟩, + ⟨962, 23244364120084, .k4 0 [0, 2, 4, 5] 0 2 4 5⟩, + ⟨1474, 14333178282012, .k4 0 [0, 4, 3, 5] 0 2 3 5⟩, + ⟨1730, 3377701085249564, .k4 0 [0, 3, 6, 2] 0 2 3 4⟩, + ⟨1986, 15835484290836480, .k4 1 [1, 5, 6, 4] 1 3 4 6⟩ ], [ - { origin := 195 - mask := 2017612633061982236 - certificate := .sharedThree 0 7 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 451 - mask := 163432106033152 - certificate := .k4 2 [2, 5, 4] 2 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 707 - mask := 4937634041458377728 - certificate := .k4 1 [1, 6, 7] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 963 - mask := 23244365168660 - certificate := .k4 0 [0, 2, 5, 4] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1731 - mask := 3377701135122460 - certificate := .k4 0 [0, 2, 6, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2243 - mask := 4801963102690271232 - certificate := .k4 1 [1, 7, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5059 - mask := 3096277660270606 - certificate := .k4 0 [0, 2, 4, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5315 - mask := 10205666933812238 - certificate := .k4 0 [0, 2, 6, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6339 - mask := 162869463458070 - certificate := .k4 0 [0, 1, 2, 4, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6595 - mask := 5629813373665310 - certificate := .k4 0 [0, 4, 3, 6, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨195, 2017612633061982236, .sharedThree 0 7 2 3 4⟩, + ⟨451, 163432106033152, .k4 2 [2, 5, 4] 2 4 5 7⟩, + ⟨707, 4937634041458377728, .k4 1 [1, 6, 7] 1 2 6 7⟩, + ⟨963, 23244365168660, .k4 0 [0, 2, 5, 4] 0 2 4 5⟩, + ⟨1731, 3377701135122460, .k4 0 [0, 2, 6, 3] 0 2 3 4⟩, + ⟨2243, 4801963102690271232, .k4 1 [1, 7, 6, 2] 1 2 5 6⟩, + ⟨5315, 10205666933812238, .k4 0 [0, 2, 6, 5, 1] 0 1 2 3⟩, ], [ - { origin := 196 - mask := 2522015791329771520 - certificate := .sharedThree 2 7 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 452 - mask := 167712835764224 - certificate := .k4 3 [3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 708 - mask := 4939322894606925824 - certificate := .k4 3 [3, 6, 7] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 964 - mask := 26432067610624 - certificate := .k4 1 [1, 3, 4, 5] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1732 - mask := 3377701151834140 - certificate := .k4 0 [0, 3, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2756 - mask := 21045342905606 - certificate := .k4 0 [0, 1, 5, 4, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4804 - mask := 145135629934858 - certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨196, 2522015791329771520, .sharedThree 2 7 0 1 5⟩, + ⟨452, 167712835764224, .k4 3 [3, 4, 5] 3 4 5 7⟩, + ⟨708, 4939322894606925824, .k4 3 [3, 6, 7] 2 3 6 7⟩, + ⟨1732, 3377701151834140, .k4 0 [0, 3, 6, 2] 0 2 3 4⟩, + ⟨2756, 21045342905606, .k4 0 [0, 1, 5, 4, 2] 0 1 2 5⟩, ], [ - { origin := 197 - mask := 2522015791914680320 - certificate := .sharedThree 3 7 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 453 - mask := 167815914979328 - certificate := .k4 3 [3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 709 - mask := 4941575532945866752 - certificate := .k4 4 [4, 6, 7] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2245 - mask := 4803089004234858496 - certificate := .k4 1 [1, 7, 6, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4549 - mask := 26556353219606 - certificate := .k4 0 [0, 4, 5, 3, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7365 - mask := 1441152434901748766 - certificate := .k4 0 [0, 3, 4, 7, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨197, 2522015791914680320, .sharedThree 3 7 0 1 5⟩, + ⟨453, 167815914979328, .k4 3 [3, 5, 4] 3 4 5 7⟩, + ⟨709, 4941575532945866752, .k4 4 [4, 6, 7] 2 4 6 7⟩, + ⟨2245, 4803089004234858496, .k4 1 [1, 7, 6, 3] 1 3 5 6⟩, ], [ - { origin := 198 - mask := 2522015941651333120 - certificate := .sharedThree 4 7 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 454 - mask := 167849737846784 - certificate := .k4 3 [3, 4, 5] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 710 - mask := 5044031582659331072 - certificate := .k4 1 [1, 2, 7] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2502 - mask := 6597122729230 - certificate := .k4 0 [0, 1, 3, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7110 - mask := 12738942809957390 - certificate := .k4 0 [0, 3, 6, 5, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7366 - mask := 1441152434918525982 - certificate := .k4 0 [0, 4, 7, 2, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8646 - mask := 2594222932394901534 - certificate := .k4 0 [0, 3, 4, 5, 7, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨198, 2522015941651333120, .sharedThree 4 7 0 1 5⟩, + ⟨454, 167849737846784, .k4 3 [3, 4, 5] 3 4 5 7⟩, + ⟨710, 5044031582659331072, .k4 1 [1, 2, 7] 1 2 6 7⟩, + ⟨2502, 6597122729230, .k4 0 [0, 1, 3, 5, 2] 0 1 2 3⟩, + ⟨7110, 12738942809957390, .k4 0 [0, 3, 6, 5, 1] 0 1 2 6⟩, ], [ - { origin := 199 - mask := 2531867415512350720 - certificate := .sharedThree 6 7 0 1 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 455 - mask := 167850006282240 - certificate := .k4 3 [3, 5, 4] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 711 - mask := 5044031582667588608 - certificate := .k4 1 [1, 7, 2] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 967 - mask := 26440694235136 - certificate := .k4 2 [2, 4, 3, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1223 - mask := 9658531045203968 - certificate := .k4 1 [1, 6, 5, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1479 - mask := 18846319846656 - certificate := .k4 1 [1, 2, 4, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2247 - mask := 4805341223311171584 - certificate := .k4 1 [1, 7, 6, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2503 - mask := 6597122731022 - certificate := .k4 0 [0, 3, 1, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5575 - mask := 13586944357311766 - certificate := .k4 0 [0, 1, 4, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8135 - mask := 9644954657243422 - certificate := .k4 0 [0, 1, 4, 6, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10439 - mask := 1441159062240111630 - certificate := .k4 0 [0, 3, 4, 7, 2, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨199, 2531867415512350720, .sharedThree 6 7 0 1 5⟩, + ⟨455, 167850006282240, .k4 3 [3, 5, 4] 3 4 5 7⟩, + ⟨1223, 9658531045203968, .k4 1 [1, 6, 5, 4] 1 4 5 6⟩, + ⟨2247, 4805341223311171584, .k4 1 [1, 7, 6, 4] 1 4 5 6⟩, + ⟨2503, 6597122731022, .k4 0 [0, 3, 1, 5, 2] 0 1 2 3⟩, + ⟨10439, 1441159062240111630, .k4 0 [0, 3, 4, 7, 2, 5, 1] 0 1 2 3⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets24 : Array (List HardEntry) := #[ [ - { origin := 704 - code := 3149311144688313630 - certificate := .residual 4326046471266579 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1216 - code := 8192763675079633950 - certificate := .residual 1346452657004224 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5568 - code := 6137730551055048990 - certificate := .residual 1743497469813349 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5824 - code := 6428199806099973150 - certificate := .residual 1738296320123105 - valid := Certificate.valid_of_validB (by decide) } + ⟨704, 3149311144688313630, .residual 4326046471266579⟩, + ⟨1216, 8192763675079633950, .residual 1346452657004224⟩, + ⟨5568, 6137730551055048990, .residual 1743497469813349⟩, + ⟨5824, 6428199806099973150, .residual 1738296320123105⟩ ], [ - { origin := 705 - code := 4154163609050768670 - certificate := .residual 4200961986576550 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1217 - code := 2860442772611558430 - certificate := .residual 3300931671773570 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5569 - code := 5563521598565310750 - certificate := .residual 3105888168454850 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5825 - code := 2862122824499389470 - certificate := .residual 1077636227667891 - valid := Certificate.valid_of_validB (by decide) } + ⟨705, 4154163609050768670, .residual 4200961986576550⟩, + ⟨1217, 2860442772611558430, .residual 3300931671773570⟩, + ⟨5569, 5563521598565310750, .residual 3105888168454850⟩, + ⟨5825, 2862122824499389470, .residual 1077636227667891⟩ ], [ - { origin := 706 - code := 3145366216958895390 - certificate := .residual 1171934254014048 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1218 - code := 3139947540449356830 - certificate := .residual 1423471131106978 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5570 - code := 4149305562253943070 - certificate := .residual 1442295531355170 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5826 - code := 8661912649817318430 - certificate := .residual 1738296320123104 - valid := Certificate.valid_of_validB (by decide) } + ⟨706, 3145366216958895390, .residual 1171934254014048⟩, + ⟨1218, 3139947540449356830, .residual 1423471131106978⟩, + ⟨5570, 4149305562253943070, .residual 1442295531355170⟩, + ⟨5826, 8661912649817318430, .residual 1738296320123104⟩ ], [ - { origin := 707 - code := 3721818044823594270 - certificate := .residual 1171932374908512 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1219 - code := 3860508104845716510 - certificate := .residual 2748068731522130 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5571 - code := 4145367103248195870 - certificate := .residual 2486971123880994 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5827 - code := 8659660824468710430 - certificate := .residual 3792565844454912 - valid := Certificate.valid_of_validB (by decide) } + ⟨707, 3721818044823594270, .residual 1171932374908512⟩, + ⟨1219, 3860508104845716510, .residual 2748068731522130⟩, + ⟨5571, 4145367103248195870, .residual 2486971123880994⟩, + ⟨5827, 8659660824468710430, .residual 3792565844454912⟩ ], [ - { origin := 708 - code := 6028587786195068190 - certificate := .residual 1231998015078208 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1220 - code := 3716955866723281950 - certificate := .residual 4248894620216519 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5572 - code := 5590597052753568030 - certificate := .residual 953325712673712 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5828 - code := 8657972000378250270 - certificate := .residual 3495219553702694 - valid := Certificate.valid_of_validB (by decide) } + ⟨708, 6028587786195068190, .residual 1231998015078208⟩, + ⟨1220, 3716955866723281950, .residual 4248894620216519⟩, + ⟨5572, 5590597052753568030, .residual 953325712673712⟩, + ⟨5828, 8657972000378250270, .residual 3495219553702694⟩ ], [ - { origin := 709 - code := 3726950546396570910 - certificate := .residual 1231999897796416 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1221 - code := 2852277932407680030 - certificate := .residual 918775720543186 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5573 - code := 6164814548788896030 - certificate := .residual 945629131221936 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5829 - code := 3862203275857290270 - certificate := .residual 1738176031678689 - valid := Certificate.valid_of_validB (by decide) } + ⟨709, 3726950546396570910, .residual 1231999897796416⟩, + ⟨1221, 2852277932407680030, .residual 918775720543186⟩, + ⟨5573, 6164814548788896030, .residual 945629131221936⟩, + ⟨5829, 3862203275857290270, .residual 1738176031678689⟩ ], [ - { origin := 710 - code := 5454378726616884510 - certificate := .residual 1223339360894784 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1222 - code := 3713030610212121630 - certificate := .residual 1551650411027922 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5574 - code := 5563515412202184990 - certificate := .residual 1872341987358754 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5830 - code := 6425956528575144990 - certificate := .residual 260552692383986 - valid := Certificate.valid_of_validB (by decide) } + ⟨710, 5454378726616884510, .residual 1223339360894784⟩, + ⟨1222, 3713030610212121630, .residual 1551650411027922⟩, + ⟨5574, 5563515412202184990, .residual 1872341987358754⟩, + ⟨5830, 6425956528575144990, .residual 260552692383986⟩ ], [ - { origin := 711 - code := 3150498346195641630 - certificate := .residual 1223341243612992 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1223 - code := 2851717181477514270 - certificate := .residual 4349966758980876 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5575 - code := 3138258826163708190 - certificate := .residual 2426225198872610 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5831 - code := 8658044164888519710 - certificate := .residual 1007284545918899 - valid := Certificate.valid_of_validB (by decide) } + ⟨711, 3150498346195641630, .residual 1223341243612992⟩, + ⟨1223, 2851717181477514270, .residual 4349966758980876⟩, + ⟨5575, 3138258826163708190, .residual 2426225198872610⟩, + ⟨5831, 8658044164888519710, .residual 1007284545918899⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData25.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData25.lean index 151be404c..a3292fc8b 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData25.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData25.lean @@ -13,400 +13,110 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets25 : Array (List PatternEntry) := #[ [ - { origin := 200 - mask := 2666130979403343104 - certificate := .sharedThree 1 7 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 456 - mask := 844424934540544 - certificate := .k4 1 [1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 712 - mask := 5044031582667686912 - certificate := .k4 1 [1, 2, 7] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 968 - mask := 26535146825728 - certificate := .k4 1 [1, 3, 5, 4] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1736 - mask := 3659175787775246 - certificate := .k4 0 [0, 1, 3, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1992 - mask := 36592588799755264 - certificate := .k4 1 [1, 2, 6, 4] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4296 - mask := 4938478466485452812 - certificate := .k4 0 [0, 3, 2, 7, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9416 - mask := 11331619718242590 - certificate := .k4 0 [0, 1, 2, 5, 6, 3, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨200, 2666130979403343104, .sharedThree 1 7 0 2 5⟩, + ⟨712, 5044031582667686912, .k4 1 [1, 2, 7] 1 2 6 7⟩, + ⟨968, 26535146825728, .k4 1 [1, 3, 5, 4] 1 3 4 5⟩, + ⟨1736, 3659175787775246, .k4 0 [0, 1, 3, 6] 0 1 2 6⟩, + ⟨1992, 36592588799755264, .k4 1 [1, 2, 6, 4] 2 4 6 7⟩, + ⟨4296, 4938478466485452812, .k4 0 [0, 3, 2, 7, 6] 0 2 3 6⟩, ], [ - { origin := 201 - mask := 2666130980024090624 - certificate := .sharedThree 3 7 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 713 - mask := 5044031582667718656 - certificate := .k4 1 [1, 7, 2] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4041 - mask := 936748724665877518 - certificate := .k4 0 [0, 3, 7, 2, 1] 0 1 2 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6345 - mask := 162882349408518 - certificate := .k4 0 [0, 1, 2, 4, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨713, 5044031582667718656, .k4 1 [1, 7, 2] 1 2 6 7⟩, + ⟨4041, 936748724665877518, .k4 0 [0, 3, 7, 2, 1] 0 1 2 7⟩, ], [ - { origin := 202 - mask := 2666131138317123584 - certificate := .sharedThree 4 7 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 714 - mask := 5080623329640054784 - certificate := .k4 2 [2, 7, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 970 - mask := 26568969693184 - certificate := .k4 1 [1, 3, 4, 5] 1 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2762 - mask := 22136264656150 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4554 - mask := 27642410641678 - certificate := .k4 0 [0, 1, 2, 4, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨714, 5080623329640054784, .k4 2 [2, 7, 6] 1 2 6 7⟩, + ⟨970, 26568969693184, .k4 1 [1, 3, 4, 5] 1 3 4 5⟩, + ⟨2762, 22136264656150, .k4 0 [0, 1, 2, 5, 4] 0 1 2 4⟩, + ⟨4554, 27642410641678, .k4 0 [0, 1, 2, 4, 5] 0 1 3 5⟩ ], [ - { origin := 203 - mask := 2676545553541627904 - certificate := .sharedThree 6 7 0 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 459 - mask := 918092209217792 - certificate := .k4 1 [1, 5, 6] 0 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 715 - mask := 5081186279580812288 - certificate := .k4 1 [1, 7, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1739 - mask := 3659196177842204 - certificate := .k4 0 [0, 4, 2, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2507 - mask := 6597155826702 - certificate := .k4 0 [0, 2, 3, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4299 - mask := 4940730287689629716 - certificate := .k4 0 [0, 2, 4, 7, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4555 - mask := 72567824149516 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨459, 918092209217792, .k4 1 [1, 5, 6] 0 1 5 6⟩, + ⟨715, 5081186279580812288, .k4 1 [1, 7, 6] 1 2 6 7⟩, + ⟨1739, 3659196177842204, .k4 0 [0, 4, 2, 6] 0 2 3 6⟩, + ⟨4299, 4940730287689629716, .k4 0 [0, 2, 4, 7, 6] 0 2 4 6⟩, + ⟨4555, 72567824149516, .k4 0 [0, 2, 3, 1, 5] 1 2 5 6⟩ ], [ - { origin := 204 - mask := 2954361355555055872 - certificate := .sharedThree 1 7 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 460 - mask := 1407374887961856 - certificate := .k4 1 [1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1228 - mask := 10139696235701248 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1740 - mask := 3659214761230364 - certificate := .k4 0 [0, 4, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4556 - mask := 72567858160906 - certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4812 - mask := 145157021409554 - certificate := .k4 0 [0, 1, 4, 2, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8652 - mask := 2594231895487217694 - certificate := .k4 0 [0, 2, 3, 7, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9932 - mask := 3469392947265430550 - certificate := .k4 0 [0, 4, 7, 5, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10444 - mask := 1442841315032714254 - certificate := .k4 0 [0, 3, 4, 7, 2, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨204, 2954361355555055872, .sharedThree 1 7 0 3 5⟩, + ⟨1228, 10139696235701248, .k4 1 [1, 2, 5, 6] 1 2 5 6⟩, + ⟨1740, 3659214761230364, .k4 0 [0, 4, 3, 6] 0 2 3 6⟩, + ⟨9932, 3469392947265430550, .k4 0 [0, 4, 7, 5, 1, 6] 0 1 2 6⟩, + ⟨10444, 1442841315032714254, .k4 0 [0, 3, 4, 7, 2, 6, 1] 0 1 2 3⟩ ], [ - { origin := 205 - mask := 2954361355557732352 - certificate := .sharedThree 2 7 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 717 - mask := 5188146774032252928 - certificate := .k4 2 [2, 3, 7] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 973 - mask := 26577595793408 - certificate := .k4 2 [2, 3, 4, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1229 - mask := 10139696237667328 - certificate := .k4 1 [1, 5, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1485 - mask := 19954418066710 - certificate := .k4 0 [0, 1, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2253 - mask := 4938759941378296832 - certificate := .k4 1 [1, 6, 7, 2] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4557 - mask := 72567858290954 - certificate := .k4 0 [0, 1, 3, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6605 - mask := 5642995167264768 - certificate := .k4 2 [2, 5, 6, 3, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7373 - mask := 1729382813176302622 - certificate := .k4 0 [0, 4, 7, 3, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨205, 2954361355557732352, .sharedThree 2 7 0 3 5⟩, + ⟨717, 5188146774032252928, .k4 2 [2, 3, 7] 2 3 6 7⟩, + ⟨973, 26577595793408, .k4 2 [2, 3, 4, 5] 2 3 4 5⟩, + ⟨1485, 19954418066710, .k4 0 [0, 1, 5, 4] 0 1 2 4⟩, + ⟨2253, 4938759941378296832, .k4 1 [1, 6, 7, 2] 1 2 3 6⟩, + ⟨6605, 5642995167264768, .k4 2 [2, 5, 6, 3, 4] 1 2 3 4⟩, ], [ - { origin := 206 - mask := 2954361531648704512 - certificate := .sharedThree 4 7 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 718 - mask := 5188147633213931520 - certificate := .k4 3 [3, 4, 7] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 974 - mask := 26577596317696 - certificate := .k4 2 [2, 4, 3, 5] 2 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1486 - mask := 19958713033750 - certificate := .k4 0 [0, 4, 5, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2510 - mask := 6597156285454 - certificate := .k4 0 [0, 3, 2, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4302 - mask := 4945521937888601088 - certificate := .k4 1 [1, 5, 6, 7, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4558 - mask := 72569395047436 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6606 - mask := 5643012146331648 - certificate := .k4 2 [2, 5, 6, 3, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8654 - mask := 2603854640815098894 - certificate := .k4 0 [0, 2, 7, 5, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10702 - mask := 5228698273575021824 - certificate := .k4 1 [1, 2, 3, 7, 6, 4, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨206, 2954361531648704512, .sharedThree 4 7 0 3 5⟩, + ⟨718, 5188147633213931520, .k4 3 [3, 4, 7] 3 4 6 7⟩, + ⟨4558, 72569395047436, .k4 0 [0, 2, 3, 1, 5] 1 3 5 6⟩, + ⟨6606, 5643012146331648, .k4 2 [2, 5, 6, 3, 4] 1 2 3 4⟩, + ⟨8654, 2603854640815098894, .k4 0 [0, 2, 7, 5, 6, 1] 0 1 2 3⟩, + ⟨10702, 5228698273575021824, .k4 1 [1, 2, 3, 7, 6, 4, 5] 0 1 2 5⟩ ], [ - { origin := 207 - mask := 2965901829600182272 - certificate := .sharedThree 6 7 0 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 463 - mask := 1483241192226816 - certificate := .k4 2 [2, 5, 6] 0 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1231 - mask := 10139696237797376 - certificate := .k4 1 [1, 5, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4303 - mask := 4946150858537591808 - certificate := .k4 1 [1, 5, 6, 7, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6863 - mask := 10215562540491022 - certificate := .k4 0 [0, 1, 5, 6, 2] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10959 - mask := 5224741857310893078 - certificate := .k4 0 [0, 2, 4, 3, 7, 6, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨207, 2965901829600182272, .sharedThree 6 7 0 3 5⟩, + ⟨463, 1483241192226816, .k4 2 [2, 5, 6] 0 2 5 6⟩, + ⟨4303, 4946150858537591808, .k4 1 [1, 5, 6, 7, 2] 1 2 5 6⟩, + ⟨10959, 5224741857310893078, .k4 0 [0, 2, 4, 3, 7, 6, 1, 5] 0 1 2 5⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets25 : Array (List HardEntry) := #[ [ - { origin := 712 - code := 6022942919503668510 - certificate := .residual 2400121526892880 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1224 - code := 6139399885039365150 - certificate := .residual 2912406333990722 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5576 - code := 7653108657063256350 - certificate := .residual 1094062862338992 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5832 - code := 6028513859379717150 - certificate := .residual 3911135697111442 - valid := Certificate.valid_of_validB (by decide) } + ⟨712, 6022942919503668510, .residual 2400121526892880⟩, + ⟨1224, 6139399885039365150, .residual 2912406333990722⟩, + ⟨5576, 7653108657063256350, .residual 1094062862338992⟩, + ⟨5832, 6028513859379717150, .residual 3911135697111442⟩ ], [ - { origin := 713 - code := 5446490950458696990 - certificate := .residual 4410727664945291 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1225 - code := 5995847646916930590 - certificate := .residual 2317541180409957 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5577 - code := 3716962188460089630 - certificate := .residual 1872071338358818 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5833 - code := 7607518384860226590 - certificate := .residual 4403716935715218 - valid := Certificate.valid_of_validB (by decide) } + ⟨713, 5446490950458696990, .residual 4410727664945291⟩, + ⟨1225, 5995847646916930590, .residual 2317541180409957⟩, + ⟨5577, 3716962188460089630, .residual 1872071338358818⟩, + ⟨5833, 7607518384860226590, .residual 4403716935715218⟩ ], [ - { origin := 714 - code := 3140087327753790750 - certificate := .residual 2968558023252640 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1226 - code := 5131169712601328670 - certificate := .residual 3545814802741570 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5578 - code := 8227326153098584350 - certificate := .residual 1086366280887216 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5834 - code := 7580567156377052190 - certificate := .residual 3349285244307857 - valid := Certificate.valid_of_validB (by decide) } + ⟨714, 3140087327753790750, .residual 2968558023252640⟩, + ⟨1226, 5131169712601328670, .residual 3545814802741570⟩, + ⟨5578, 8227326153098584350, .residual 1086366280887216⟩, + ⟨5834, 7580567156377052190, .residual 3349285244307857⟩ ], [ - { origin := 715 - code := 6030757277541623070 - certificate := .residual 1382169606544948 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1227 - code := 5991922390405770270 - certificate := .residual 4249238479218882 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5579 - code := 6137715140914110750 - certificate := .residual 2426495847872546 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5835 - code := 7653172303111971870 - certificate := .residual 2469909343751252 - valid := Certificate.valid_of_validB (by decide) } + ⟨715, 6030757277541623070, .residual 1382169606544948⟩, + ⟨1227, 5991922390405770270, .residual 4249238479218882⟩, + ⟨5579, 6137715140914110750, .residual 2426495847872546⟩, + ⟨5835, 7653172303111971870, .residual 2469909343751252⟩ ], [ - { origin := 716 - code := 6028514273820960030 - certificate := .residual 1504382905597377 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1228 - code := 5130608961671162910 - certificate := .residual 4169987741963461 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5580 - code := 8661985203826909470 - certificate := .residual 3362880162050306 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5836 - code := 3860514699801584670 - certificate := .residual 4241652773164577 - valid := Certificate.valid_of_validB (by decide) } + ⟨716, 6028514273820960030, .residual 1504382905597377⟩, + ⟨1228, 5130608961671162910, .residual 4169987741963461⟩, + ⟨5580, 8661985203826909470, .residual 3362880162050306⟩, + ⟨5836, 3860514699801584670, .residual 4241652773164577⟩ ], [ - { origin := 717 - code := 3714855935957034270 - certificate := .residual 1390963566763569 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1229 - code := 2860161297651624990 - certificate := .residual 3301172189950215 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5581 - code := 6176848712146018590 - certificate := .residual 348790983099888 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5837 - code := 3284062743591183390 - certificate := .residual 4246057263699221 - valid := Certificate.valid_of_validB (by decide) } + ⟨717, 3714855935957034270, .residual 1390963566763569⟩, + ⟨1229, 2860161297651624990, .residual 3301172189950215⟩, + ⟨5581, 6176848712146018590, .residual 348790983099888⟩, + ⟨5837, 3284062743591183390, .residual 4246057263699221⟩ ], [ - { origin := 718 - code := 6020691094155060510 - certificate := .residual 4411689737676939 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1230 - code := 2851717177199324190 - certificate := .residual 346043814129778 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5582 - code := 4157549565685981470 - certificate := .residual 3361662538705416 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5838 - code := 3292772941797319710 - certificate := .residual 1978410524929108 - valid := Certificate.valid_of_validB (by decide) } + ⟨718, 6020691094155060510, .residual 4411689737676939⟩, + ⟨1230, 2851717177199324190, .residual 346043814129778⟩, + ⟨5582, 4157549565685981470, .residual 3361662538705416⟩, + ⟨5838, 3292772941797319710, .residual 1978410524929108⟩ ], [ - { origin := 719 - code := 6029347686639494430 - certificate := .residual 3532605094632096 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1231 - code := 5995847642638740510 - certificate := .residual 2316488913924193 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5583 - code := 3869323587580780830 - certificate := .residual 3361662538705417 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5839 - code := 3284047350663275550 - certificate := .residual 1978410524929105 - valid := Certificate.valid_of_validB (by decide) } + ⟨719, 6029347686639494430, .residual 3532605094632096⟩, + ⟨1231, 5995847642638740510, .residual 2316488913924193⟩, + ⟨5583, 3869323587580780830, .residual 3361662538705417⟩, + ⟨5839, 3284047350663275550, .residual 1978410524929105⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData26.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData26.lean index 53829879a..d22141fa2 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData26.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData26.lean @@ -13,440 +13,124 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets26 : Array (List PatternEntry) := #[ [ - { origin := 464 - mask := 1970324836992262 - certificate := .k4 0 [0, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 720 - mask := 5227553267483410432 - certificate := .k4 2 [2, 6, 7] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 976 - mask := 27526999048216 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1232 - mask := 10146294448783360 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2000 - mask := 37155559480754176 - certificate := .k4 2 [2, 3, 6, 4] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2512 - mask := 6609957823766 - certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5072 - mask := 3377713701322782 - certificate := .k4 0 [0, 3, 4, 6, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7376 - mask := 2450103332877533454 - certificate := .k4 0 [0, 1, 3, 7, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨464, 1970324836992262, .k4 0 [0, 1, 6] 0 1 2 6⟩, + ⟨720, 5227553267483410432, .k4 2 [2, 6, 7] 2 3 6 7⟩, + ⟨1232, 10146294448783360, .k4 2 [2, 3, 5, 6] 2 3 5 6⟩, + ⟨2000, 37155559480754176, .k4 2 [2, 3, 6, 4] 3 4 6 7⟩, + ⟨2512, 6609957823766, .k4 0 [0, 1, 4, 5, 2] 0 1 2 4⟩, + ⟨7376, 2450103332877533454, .k4 0 [0, 1, 3, 7, 5, 2] 0 1 2 3⟩ ], [ - { origin := 209 - mask := 3530822107861680128 - certificate := .sharedThree 2 7 0 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 465 - mask := 1970324841365510 - certificate := .k4 0 [0, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 721 - mask := 5230931826184290304 - certificate := .k4 4 [4, 6, 7] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 977 - mask := 27527250706456 - certificate := .k4 0 [0, 4, 3, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1489 - mask := 19971597936922 - certificate := .k4 0 [0, 1, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1745 - mask := 4785366667314432 - certificate := .k4 1 [1, 2, 4, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2001 - mask := 37155576594038784 - certificate := .k4 2 [2, 4, 6, 3] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2257 - mask := 4941012041839280128 - certificate := .k4 2 [2, 7, 6, 4] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨209, 3530822107861680128, .sharedThree 2 7 0 4 5⟩, + ⟨721, 5230931826184290304, .k4 4 [4, 6, 7] 3 4 6 7⟩, + ⟨977, 27527250706456, .k4 0 [0, 4, 3, 5] 0 3 4 5⟩, + ⟨1489, 19971597936922, .k4 0 [0, 1, 5, 4] 0 1 3 4⟩, + ⟨2001, 37155576594038784, .k4 2 [2, 4, 6, 3] 3 4 6 7⟩, ], [ - { origin := 210 - mask := 3530822108680552448 - certificate := .sharedThree 3 7 0 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 978 - mask := 27629809827864 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2514 - mask := 6609957889046 - certificate := .k4 0 [0, 2, 4, 5, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2770 - mask := 22153443476758 - certificate := .k4 0 [0, 1, 2, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3794 - mask := 13583392424748032 - certificate := .k4 1 [1, 2, 5, 4, 6] 1 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7378 - mask := 2450103345712627990 - certificate := .k4 0 [0, 1, 4, 7, 5, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨210, 3530822108680552448, .sharedThree 3 7 0 4 5⟩, + ⟨978, 27629809827864, .k4 0 [0, 3, 4, 5] 0 3 4 5⟩, + ⟨7378, 2450103345712627990, .k4 0 [0, 1, 4, 7, 5, 2] 0 1 2 4⟩ ], [ - { origin := 211 - mask := 3544614381717291008 - certificate := .sharedThree 6 7 0 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 979 - mask := 27630329921560 - certificate := .k4 0 [0, 4, 5, 3] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1747 - mask := 4876746386071808 - certificate := .k4 1 [1, 5, 4, 6] 0 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2003 - mask := 37717646887862534 - certificate := .k4 0 [0, 1, 2, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6611 - mask := 5656326743654400 - certificate := .k4 2 [2, 6, 4, 5, 3] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨211, 3544614381717291008, .sharedThree 6 7 0 4 5⟩, + ⟨979, 27630329921560, .k4 0 [0, 4, 5, 3] 0 3 4 5⟩, + ⟨2003, 37717646887862534, .k4 0 [0, 1, 2, 6] 1 2 6 7⟩, + ⟨6611, 5656326743654400, .k4 2 [2, 6, 4, 5, 3] 1 2 3 4⟩ ], [ - { origin := 212 - mask := 4827858800545562624 - certificate := .sharedThree 2 7 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 724 - mask := 5332261962061465600 - certificate := .k4 1 [1, 3, 7] 1 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 980 - mask := 27659874598936 - certificate := .k4 0 [0, 3, 4, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1236 - mask := 10155381459255296 - certificate := .k4 2 [2, 4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1492 - mask := 20890724147478 - certificate := .k4 0 [0, 1, 2, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2260 - mask := 4944952390867641344 - certificate := .k4 1 [1, 2, 7, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3284 - mask := 6768886518120448 - certificate := .k4 2 [2, 4, 5, 6, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4308 - mask := 5225019995917912330 - certificate := .k4 0 [0, 1, 3, 7, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5588 - mask := 13590282134093850 - certificate := .k4 0 [0, 3, 5, 6, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6612 - mask := 5656343722721280 - certificate := .k4 2 [2, 6, 4, 5, 3] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨212, 4827858800545562624, .sharedThree 2 7 0 1 6⟩, + ⟨724, 5332261962061465600, .k4 1 [1, 3, 7] 1 3 6 7⟩, + ⟨1236, 10155381459255296, .k4 2 [2, 4, 5, 6] 2 4 5 6⟩, + ⟨1492, 20890724147478, .k4 0 [0, 1, 2, 5] 0 2 4 5⟩, + ⟨4308, 5225019995917912330, .k4 0 [0, 1, 3, 7, 6] 0 1 3 6⟩, + ⟨6612, 5656343722721280, .k4 2 [2, 6, 4, 5, 3] 1 2 3 4⟩ ], [ - { origin := 213 - mask := 4827858801665245184 - certificate := .sharedThree 3 7 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 469 - mask := 2613540766613504 - certificate := .k4 3 [3, 5, 6] 0 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 725 - mask := 5332261962061496320 - certificate := .k4 1 [1, 7, 3] 1 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 981 - mask := 27660143034392 - certificate := .k4 0 [0, 3, 5, 4] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3285 - mask := 6768903697989632 - certificate := .k4 2 [2, 5, 3, 4, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4309 - mask := 5225019995934689546 - certificate := .k4 0 [0, 1, 3, 7, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨213, 4827858801665245184, .sharedThree 3 7 0 1 6⟩, + ⟨469, 2613540766613504, .k4 3 [3, 5, 6] 0 3 5 6⟩, + ⟨725, 5332261962061496320, .k4 1 [1, 7, 3] 1 3 6 7⟩, + ⟨981, 27660143034392, .k4 0 [0, 3, 5, 4] 0 3 4 5⟩, + ⟨4309, 5225019995934689546, .k4 0 [0, 1, 3, 7, 6] 0 1 3 6⟩ ], [ - { origin := 214 - mask := 4827859088303980544 - certificate := .sharedThree 4 7 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 726 - mask := 5368853709033832448 - certificate := .k4 3 [3, 7, 6] 1 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 982 - mask := 844424934409478 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1494 - mask := 20891543019802 - certificate := .k4 0 [0, 1, 3, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2262 - mask := 4944952820365262848 - certificate := .k4 2 [2, 4, 7, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2774 - mask := 22162118803484 - certificate := .k4 0 [0, 3, 2, 5, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4566 - mask := 72589249765650 - certificate := .k4 0 [0, 1, 4, 5, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8662 - mask := 2882446700512878878 - certificate := .k4 0 [0, 1, 2, 5, 7, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨214, 4827859088303980544, .sharedThree 4 7 0 1 6⟩, + ⟨726, 5368853709033832448, .k4 3 [3, 7, 6] 1 3 6 7⟩, + ⟨982, 844424934409478, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1494, 20891543019802, .k4 0 [0, 1, 3, 5] 0 3 4 5⟩, + ⟨2774, 22162118803484, .k4 0 [0, 3, 2, 5, 4] 0 2 3 4⟩, + ⟨8662, 2882446700512878878, .k4 0 [0, 1, 2, 5, 7, 3] 0 2 3 4⟩ ], [ - { origin := 215 - mask := 4827932467820232704 - certificate := .sharedThree 5 7 0 1 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 471 - mask := 3096225867890698 - certificate := .k4 0 [0, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 983 - mask := 844424934475014 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1751 - mask := 5066850228520214 - certificate := .k4 0 [0, 1, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2007 - mask := 37717650176623616 - certificate := .k4 1 [1, 2, 6, 3] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2263 - mask := 4945515340820931584 - certificate := .k4 1 [1, 6, 7, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5079 - mask := 3377744050192414 - certificate := .k4 0 [0, 2, 6, 3, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5847 - mask := 7736108523806 - certificate := .k4 0 [0, 1, 4, 5, 3] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6615 - mask := 5910975890917662 - certificate := .k4 0 [0, 1, 2, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨215, 4827932467820232704, .sharedThree 5 7 0 1 6⟩, + ⟨471, 3096225867890698, .k4 0 [0, 3, 6] 0 1 3 6⟩, + ⟨983, 844424934475014, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1751, 5066850228520214, .k4 0 [0, 1, 6, 4] 0 1 2 4⟩, + ⟨2007, 37717650176623616, .k4 1 [1, 2, 6, 3] 2 3 6 7⟩, + ⟨2263, 4945515340820931584, .k4 1 [1, 6, 7, 2] 1 2 5 6⟩, + ⟨5079, 3377744050192414, .k4 0 [0, 2, 6, 3, 4] 0 1 3 4⟩, + ⟨5847, 7736108523806, .k4 0 [0, 1, 4, 5, 3] 0 2 3 5⟩, + ⟨6615, 5910975890917662, .k4 0 [0, 1, 2, 3, 6] 0 3 4 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets26 : Array (List HardEntry) := #[ [ - { origin := 720 - code := 5452053504538993950 - certificate := .residual 1452521171082801 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 976 - code := 6461210423826017310 - certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 5, 6, 7] 0 1 2 4 7 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1232 - code := 5456273428076129310 - certificate := .residual 4408532936632834 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5584 - code := 3725701255592075550 - certificate := .residual 333399666336240 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5840 - code := 5454295824292439070 - certificate := .residual 3902339872237970 - valid := Certificate.valid_of_validB (by decide) } + ⟨720, 5452053504538993950, .residual 1452521171082801⟩, + ⟨976, 6461210423826017310, .hubPentagon 0 [0, 2, 3, 4, 1, 5, 6, 7] 0 1 2 4 7 3⟩, + ⟨1232, 5456273428076129310, .residual 4408532936632834⟩, + ⟨5584, 3725701255592075550, .residual 333399666336240⟩, + ⟨5840, 5454295824292439070, .residual 3902339872237970⟩ ], [ - { origin := 721 - code := 3140638170395731230 - certificate := .residual 1461315131301428 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 977 - code := 6171577092312099870 - certificate := .residual 4395315711156496 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1233 - code := 3140091574124375070 - certificate := .residual 4346960281807362 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5585 - code := 6463946565752643870 - certificate := .residual 4410442049490178 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5841 - code := 3148382858651427870 - certificate := .residual 3271220128164241 - valid := Certificate.valid_of_validB (by decide) } + ⟨721, 3140638170395731230, .residual 1461315131301428⟩, + ⟨977, 6171577092312099870, .residual 4395315711156496⟩, + ⟨1233, 3140091574124375070, .residual 4346960281807362⟩, + ⟨5585, 6463946565752643870, .residual 4410442049490178⟩, + ⟨5841, 3148382858651427870, .residual 3271220128164241⟩ ], [ - { origin := 722 - code := 3138395166675068190 - certificate := .residual 1583528430353857 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 978 - code := 5450932123503651870 - certificate := .residual 4395315711156497 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1234 - code := 6454735974900526110 - certificate := .residual 4409479976808713 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5586 - code := 4149308008977588510 - certificate := .residual 2912182781847365 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5842 - code := 5419393459756262430 - certificate := .residual 3612876155704597 - valid := Certificate.valid_of_validB (by decide) } + ⟨722, 3138395166675068190, .residual 1583528430353857⟩, + ⟨978, 5450932123503651870, .residual 4395315711156497⟩, + ⟨1234, 6454735974900526110, .residual 4409479976808713⟩, + ⟨5586, 4149308008977588510, .residual 2912182781847365⟩, + ⟨5842, 5419393459756262430, .residual 3612876155704597⟩ ], [ - { origin := 723 - code := 5444239125110088990 - certificate := .residual 1837173720611152 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 979 - code := 5447603640283130910 - certificate := .residual 3902373695234451 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1235 - code := 6024079260533222430 - certificate := .residual 4409479976808712 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5587 - code := 3862203532732719390 - certificate := .residual 3598334100622018 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5843 - code := 5417150456035599390 - certificate := .residual 3608471665169953 - valid := Certificate.valid_of_validB (by decide) } + ⟨723, 5444239125110088990, .residual 1837173720611152⟩, + ⟨979, 5447603640283130910, .residual 3902373695234451⟩, + ⟨1235, 6024079260533222430, .residual 4409479976808712⟩, + ⟨5587, 3862203532732719390, .residual 3598334100622018⟩, + ⟨5843, 5417150456035599390, .residual 3608471665169953⟩ ], [ - { origin := 724 - code := 3722952748660450590 - certificate := .residual 2399022269020496 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 980 - code := 5442552740523371550 - certificate := .residual 2632264696967472 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1236 - code := 4149453854055951390 - certificate := .residual 350012371774576 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5588 - code := 4147065005256925470 - certificate := .residual 3106040459445954 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5844 - code := 5419386888456299550 - certificate := .residual 2469909343751249 - valid := Certificate.valid_of_validB (by decide) } + ⟨724, 3722952748660450590, .residual 2399022269020496⟩, + ⟨980, 5442552740523371550, .residual 2632264696967472⟩, + ⟨1236, 4149453854055951390, .residual 350012371774576⟩, + ⟨5588, 4147065005256925470, .residual 3106040459445954⟩, + ⟨5844, 5419386888456299550, .residual 2469909343751249⟩ ], [ - { origin := 725 - code := 5455147406041048350 - certificate := .residual 3531505851210400 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 981 - code := 6031599607043681310 - certificate := .residual 1835341575158228 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1237 - code := 6139488811347962910 - certificate := .residual 342312002915568 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5589 - code := 3285751576522318110 - certificate := .residual 2297771582243429 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5845 - code := 3722600483032458270 - certificate := .residual 3280015953037713 - valid := Certificate.valid_of_validB (by decide) } + ⟨725, 5455147406041048350, .residual 3531505851210400⟩, + ⟨981, 6031599607043681310, .residual 1835341575158228⟩, + ⟨1237, 6139488811347962910, .residual 342312002915568⟩, + ⟨5589, 3285751576522318110, .residual 2297771582243429⟩, + ⟨5845, 3722600483032458270, .residual 3280015953037713⟩ ], [ - { origin := 726 - code := 6030757140639540510 - certificate := .residual 1382169606544945 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 982 - code := 7184588890747530270 - certificate := .residual 3794595216460164 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1238 - code := 6452484158108298270 - certificate := .residual 1491004078448304 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5590 - code := 3284630074661986590 - certificate := .residual 4091084640762562 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5846 - code := 3866981748828595230 - certificate := .residual 2470991734230100 - valid := Certificate.valid_of_validB (by decide) } + ⟨726, 6030757140639540510, .residual 1382169606544945⟩, + ⟨982, 7184588890747530270, .residual 3794595216460164⟩, + ⟨1238, 6452484158108298270, .residual 1491004078448304⟩, + ⟨5590, 3284630074661986590, .residual 4091084640762562⟩, + ⟨5846, 3866981748828595230, .residual 2470991734230100⟩ ], [ - { origin := 727 - code := 3717098802775614750 - certificate := .residual 1574734484585921 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 983 - code := 5166976377944632350 - certificate := .residual 3915846471280129 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1239 - code := 5420528307154283550 - certificate := .residual 816811093115810 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5591 - code := 6428199789171237150 - certificate := .residual 3364954631334028 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5847 - code := 5995853968068633630 - certificate := .residual 3678840141256225 - valid := Certificate.valid_of_validB (by decide) } + ⟨727, 3717098802775614750, .residual 1574734484585921⟩, + ⟨983, 5166976377944632350, .residual 3915846471280129⟩, + ⟨1239, 5420528307154283550, .residual 816811093115810⟩, + ⟨5591, 6428199789171237150, .residual 3364954631334028⟩, + ⟨5847, 5995853968068633630, .residual 3678840141256225⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData27.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData27.lean index 309037de4..e23075551 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData27.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData27.lean @@ -13,436 +13,123 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets27 : Array (List PatternEntry) := #[ [ - { origin := 216 - mask := 4971973988617045248 - certificate := .sharedThree 1 7 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 472 - mask := 3659174702022668 - certificate := .k4 0 [0, 2, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 728 - mask := 5476377148036481024 - certificate := .k4 2 [2, 3, 7] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 984 - mask := 844424934539526 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1240 - mask := 10205666931270656 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6616 - mask := 5911253734149150 - certificate := .k4 0 [0, 3, 4, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8664 - mask := 2882446721986601246 - certificate := .k4 0 [0, 1, 4, 5, 7, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10712 - mask := 5233258674377467158 - certificate := .k4 0 [0, 1, 4, 3, 7, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10968 - mask := 5233255380138665238 - certificate := .k4 0 [0, 1, 2, 5, 6, 7, 3, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨216, 4971973988617045248, .sharedThree 1 7 0 2 6⟩, + ⟨472, 3659174702022668, .k4 0 [0, 2, 6] 0 2 3 6⟩, + ⟨728, 5476377148036481024, .k4 2 [2, 3, 7] 2 3 6 7⟩, + ⟨984, 844424934539526, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1240, 10205666931270656, .k4 1 [1, 2, 5, 6] 1 2 5 6⟩, + ⟨6616, 5911253734149150, .k4 0 [0, 3, 4, 1, 6] 0 1 2 6⟩, + ⟨10968, 5233255380138665238, .k4 0 [0, 1, 2, 5, 6, 7, 3, 4] 0 1 2 4⟩ ], [ - { origin := 217 - mask := 4971973989774655488 - certificate := .sharedThree 3 7 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 473 - mask := 3659175854866444 - certificate := .k4 0 [0, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 985 - mask := 844424934540294 - certificate := .k4 0 [0, 2, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1241 - mask := 10205666935333888 - certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2009 - mask := 37718488702403584 - certificate := .k4 1 [1, 2, 6, 4] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5081 - mask := 3377748312719382 - certificate := .k4 0 [0, 4, 3, 6, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5337 - mask := 10213363514681614 - certificate := .k4 0 [0, 1, 2, 6, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5593 - mask := 13591342403823898 - certificate := .k4 0 [0, 1, 4, 6, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7385 - mask := 2450107731508691214 - certificate := .k4 0 [0, 1, 2, 7, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10969 - mask := 5233257548864359446 - certificate := .k4 0 [0, 2, 4, 5, 6, 7, 3, 1] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨217, 4971973989774655488, .sharedThree 3 7 0 2 6⟩, + ⟨473, 3659175854866444, .k4 0 [0, 3, 6] 0 2 3 6⟩, + ⟨985, 844424934540294, .k4 0 [0, 2, 1, 6] 0 1 2 6⟩, + ⟨1241, 10205666935333888, .k4 1 [1, 5, 6, 2] 1 2 5 6⟩, + ⟨2009, 37718488702403584, .k4 1 [1, 2, 6, 4] 2 4 6 7⟩, + ⟨5593, 13591342403823898, .k4 0 [0, 1, 4, 6, 5] 0 1 3 5⟩, + ⟨7385, 2450107731508691214, .k4 0 [0, 1, 2, 7, 5, 3] 0 1 2 3⟩, + ⟨10969, 5233257548864359446, .k4 0 [0, 2, 4, 5, 6, 7, 3, 1] 0 1 2 4⟩ ], [ - { origin := 218 - mask := 4971974284969771008 - certificate := .sharedThree 4 7 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 730 - mask := 5476377150175576064 - certificate := .k4 2 [2, 3, 7] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7386 - mask := 2450107744594723098 - certificate := .k4 0 [0, 1, 4, 7, 5, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨730, 5476377150175576064, .k4 2 [2, 3, 7] 2 3 6 7⟩, + ⟨7386, 2450107744594723098, .k4 0 [0, 1, 4, 7, 5, 3] 0 1 3 4⟩ ], [ - { origin := 219 - mask := 4972049854919344128 - certificate := .sharedThree 5 7 0 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 475 - mask := 4785370962132992 - certificate := .k4 2 [2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1243 - mask := 10205666935463936 - certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2011 - mask := 38280597986788352 - certificate := .k4 1 [1, 2, 3, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2267 - mask := 4949456419991584768 - certificate := .k4 2 [2, 7, 6, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4315 - mask := 5226427369815952384 - certificate := .k4 1 [1, 2, 3, 7, 6] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4827 - mask := 145864339292180 - certificate := .k4 0 [0, 2, 4, 5, 3] 3 4 5 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨219, 4972049854919344128, .sharedThree 5 7 0 2 6⟩, + ⟨2011, 38280597986788352, .k4 1 [1, 2, 3, 6] 1 2 6 7⟩, + ⟨2267, 4949456419991584768, .k4 2 [2, 7, 6, 4] 2 4 5 6⟩, + ⟨4315, 5226427369815952384, .k4 1 [1, 2, 3, 7, 6] 1 2 3 6⟩, + ⟨4827, 145864339292180, .k4 0 [0, 2, 4, 5, 3] 3 4 5 7⟩ ], [ - { origin := 732 - mask := 5513531847096664064 - certificate := .k4 3 [3, 7, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 988 - mask := 844426054222090 - certificate := .k4 0 [0, 1, 3, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1244 - mask := 10207865954526208 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1756 - mask := 5066871703357466 - certificate := .k4 0 [0, 4, 6, 1] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2268 - mask := 4949548349470539776 - certificate := .k4 2 [2, 7, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2524 - mask := 7696665944334 - certificate := .k4 0 [0, 1, 3, 5, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4060 - mask := 1297056080165118226 - certificate := .k4 0 [0, 1, 7, 4, 5] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6620 - mask := 6755679721819166 - certificate := .k4 0 [0, 2, 4, 6, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8156 - mask := 9649314918908190 - certificate := .k4 0 [0, 1, 2, 6, 5, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10716 - mask := 5233270876129132574 - certificate := .k4 0 [0, 2, 3, 7, 6, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨732, 5513531847096664064, .k4 3 [3, 7, 6] 2 3 6 7⟩, + ⟨988, 844426054222090, .k4 0 [0, 1, 3, 6] 0 1 3 6⟩, + ⟨1756, 5066871703357466, .k4 0 [0, 4, 6, 1] 0 1 3 4⟩, + ⟨2268, 4949548349470539776, .k4 2 [2, 7, 6, 5] 2 4 5 6⟩, + ⟨4060, 1297056080165118226, .k4 0 [0, 1, 7, 4, 5] 0 1 4 5⟩, + ⟨8156, 9649314918908190, .k4 0 [0, 1, 2, 6, 5, 3] 0 2 3 4⟩, + ⟨10716, 5233270876129132574, .k4 0 [0, 2, 3, 7, 6, 5, 4] 0 1 2 4⟩ ], [ - { origin := 221 - mask := 5260204364773523456 - certificate := .sharedThree 2 7 0 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 477 - mask := 4874551657758720 - certificate := .k4 4 [4, 5, 6] 0 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 733 - mask := 5514657743728279552 - certificate := .k4 2 [2, 7, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 989 - mask := 844426054223882 - certificate := .k4 0 [0, 3, 1, 6] 0 1 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1245 - mask := 10207865956623360 - certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3037 - mask := 3096225838679054 - certificate := .k4 0 [0, 3, 6, 1, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3805 - mask := 13583796152706048 - certificate := .k4 1 [1, 2, 5, 6, 4] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6621 - mask := 6755679721882910 - certificate := .k4 0 [0, 1, 4, 2, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8669 - mask := 2882452236657501206 - certificate := .k4 0 [0, 4, 3, 7, 5, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10973 - mask := 5801203152944456718 - certificate := .k4 0 [0, 2, 3, 4, 7, 6, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨221, 5260204364773523456, .sharedThree 2 7 0 3 6⟩, + ⟨477, 4874551657758720, .k4 4 [4, 5, 6] 0 4 5 6⟩, + ⟨733, 5514657743728279552, .k4 2 [2, 7, 6] 2 3 6 7⟩, + ⟨989, 844426054223882, .k4 0 [0, 3, 1, 6] 0 1 3 6⟩, + ⟨1245, 10207865956623360, .k4 1 [1, 2, 6, 5] 1 2 5 6⟩, + ⟨8669, 2882452236657501206, .k4 0 [0, 4, 3, 7, 5, 1] 0 1 2 5⟩, + ⟨10973, 5801203152944456718, .k4 0 [0, 2, 3, 4, 7, 6, 1, 5] 0 1 2 5⟩ ], [ - { origin := 222 - mask := 5260204678301351936 - certificate := .sharedThree 4 7 0 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1758 - mask := 5348024562827542 - certificate := .k4 0 [0, 1, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2270 - mask := 5017437694924423168 - certificate := .k4 2 [2, 5, 7, 6] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4318 - mask := 5226427662110031872 - certificate := .k4 2 [2, 3, 4, 7, 6] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7902 - mask := 2533297361142814 - certificate := .k4 0 [0, 3, 4, 6, 2, 1] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨222, 5260204678301351936, .sharedThree 4 7 0 3 6⟩, + ⟨1758, 5348024562827542, .k4 0 [0, 1, 2, 6] 0 2 4 6⟩, + ⟨2270, 5017437694924423168, .k4 2 [2, 5, 7, 6] 0 5 6 7⟩, + ⟨4318, 5226427662110031872, .k4 2 [2, 3, 4, 7, 6] 2 3 4 6⟩, ], [ - { origin := 223 - mask := 5260284629117566976 - certificate := .sharedThree 5 7 0 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 479 - mask := 5348312320311314 - certificate := .k4 0 [0, 4, 6] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 735 - mask := 5764608364861456384 - certificate := .k4 2 [2, 4, 7] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2015 - mask := 38281474361786368 - certificate := .k4 2 [2, 4, 3, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6623 - mask := 6755679754980382 - certificate := .k4 0 [0, 2, 4, 1, 6, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨223, 5260284629117566976, .sharedThree 5 7 0 3 6⟩, + ⟨479, 5348312320311314, .k4 0 [0, 4, 6] 0 1 4 6⟩, + ⟨735, 5764608364861456384, .k4 2 [2, 4, 7] 2 4 6 7⟩, ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets27 : Array (List HardEntry) := #[ [ - { origin := 728 - code := 3714855799054951710 - certificate := .residual 1390963566763572 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 984 - code := 5166917172072115230 - certificate := .residual 4408547969025538 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1240 - code := 5420595106814192670 - certificate := .residual 3794595216460162 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5592 - code := 6141095312926368030 - certificate := .residual 1620230179855954 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5848 - code := 5993610964347970590 - certificate := .residual 3683244631790869 - valid := Certificate.valid_of_validB (by decide) } + ⟨728, 3714855799054951710, .residual 1390963566763572⟩, + ⟨984, 5166917172072115230, .residual 4408547969025538⟩, + ⟨1240, 5420595106814192670, .residual 3794595216460162⟩, + ⟨5592, 6141095312926368030, .residual 1620230179855954⟩, + ⟨5848, 5993610964347970590, .residual 3683244631790869⟩ ], [ - { origin := 729 - code := 3148743783336142110 - certificate := .residual 4349155010119819 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 985 - code := 6031599482976168990 - certificate := .residual 2051807927923379 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1241 - code := 3718086284181335070 - certificate := .residual 4240596747572418 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5593 - code := 6425956785450574110 - certificate := .residual 2112568877968978 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5849 - code := 8227380853451842590 - certificate := .residual 1977328134450260 - valid := Certificate.valid_of_validB (by decide) } + ⟨729, 3148743783336142110, .residual 4349155010119819⟩, + ⟨985, 6031599482976168990, .residual 2051807927923379⟩, + ⟨1241, 3718086284181335070, .residual 4240596747572418⟩, + ⟨5593, 6425956785450574110, .residual 2112568877968978⟩, + ⟨5849, 8227380853451842590, .residual 1977328134450260⟩ ], [ - { origin := 730 - code := 3714287334548071710 - certificate := .residual 2969657266674336 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 986 - code := 5450925406644956190 - certificate := .residual 3885056387080850 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1242 - code := 4146499994827975710 - certificate := .residual 3466424917571394 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5594 - code := 5564643356715966750 - certificate := .residual 3105542419408583 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5850 - code := 5993595571420062750 - certificate := .residual 1977328134450257 - valid := Certificate.valid_of_validB (by decide) } + ⟨730, 3714287334548071710, .residual 2969657266674336⟩, + ⟨986, 5450925406644956190, .residual 3885056387080850⟩, + ⟨1242, 4146499994827975710, .residual 3466424917571394⟩, + ⟨5594, 5564643356715966750, .residual 3105542419408583⟩, + ⟨5850, 5993595571420062750, .residual 1977328134450257⟩ ], [ - { origin := 731 - code := 3722943927032505630 - certificate := .residual 4350117082851467 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 987 - code := 5162695047673113630 - certificate := .residual 4408427709883911 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1243 - code := 3141634327970933790 - certificate := .residual 4108432009574597 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5595 - code := 5563521854855635230 - certificate := .residual 2605274057106002 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5851 - code := 8181717980948259870 - certificate := .residual 4394921110841746 - valid := Certificate.valid_of_validB (by decide) } + ⟨731, 3722943927032505630, .residual 4350117082851467⟩, + ⟨987, 5162695047673113630, .residual 4408427709883911⟩, + ⟨1243, 3141634327970933790, .residual 4108432009574597⟩, + ⟨5595, 5563521854855635230, .residual 2605274057106002⟩, + ⟨5851, 8181717980948259870, .residual 4394921110841746⟩ ], [ - { origin := 732 - code := 5454296371357574430 - certificate := .residual 1513176851365313 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 988 - code := 4158171306167331870 - certificate := .hubPentagon 0 [0, 2, 3, 4, 1, 6, 5, 7] 0 1 2 4 7 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1244 - code := 3714161027670174750 - certificate := .residual 2316323549827173 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5596 - code := 6428193217871274270 - certificate := .residual 1995487289734178 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5852 - code := 8154766889367168030 - certificate := .residual 3340489419434385 - valid := Certificate.valid_of_validB (by decide) } + ⟨732, 5454296371357574430, .residual 1513176851365313⟩, + ⟨988, 4158171306167331870, .hubPentagon 0 [0, 2, 3, 4, 1, 6, 5, 7] 0 1 2 4 7 3⟩, + ⟨1244, 3714161027670174750, .residual 2316323549827173⟩, + ⟨5596, 6428193217871274270, .residual 1995487289734178⟩, + ⟨5852, 8154766889367168030, .residual 3340489419434385⟩ ], [ - { origin := 733 - code := 5452053367636911390 - certificate := .residual 1452521171082804 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 989 - code := 3871061353839160350 - certificate := .residual 4326046471266576 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1245 - code := 3139952075180436510 - certificate := .residual 3044437743228226 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5597 - code := 3292862809742434590 - certificate := .residual 1007220624218032 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5853 - code := 3858262596370621470 - certificate := .residual 4175688787612949 - valid := Certificate.valid_of_validB (by decide) } + ⟨733, 5452053367636911390, .residual 1452521171082804⟩, + ⟨989, 3871061353839160350, .residual 4326046471266576⟩, + ⟨1245, 3139952075180436510, .residual 3044437743228226⟩, + ⟨5597, 3292862809742434590, .residual 1007220624218032⟩, + ⟨5853, 3858262596370621470, .residual 4175688787612949⟩ ], [ - { origin := 734 - code := 3140638033493648670 - certificate := .residual 1461315131301425 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 990 - code := 3141759792546278430 - certificate := .residual 4326046471266577 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1246 - code := 5996978064374983710 - certificate := .residual 2043149273854418 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5598 - code := 6427636839251370270 - certificate := .residual 1380587581332514 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5854 - code := 3281810640160220190 - certificate := .residual 4171284297078305 - valid := Certificate.valid_of_validB (by decide) } + ⟨734, 3140638033493648670, .residual 1461315131301425⟩, + ⟨990, 3141759792546278430, .residual 4326046471266577⟩, + ⟨1246, 5996978064374983710, .residual 2043149273854418⟩, + ⟨5598, 6427636839251370270, .residual 1380587581332514⟩, + ⟨5854, 3281810640160220190, .residual 4171284297078305⟩ ], [ - { origin := 735 - code := 3148734961708197150 - certificate := .residual 1836074462738768 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 991 - code := 3145370465184476190 - certificate := .residual 3340523242430867 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1247 - code := 6425391775021624350 - certificate := .residual 2747091622785106 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5599 - code := 3870928982686490910 - certificate := .residual 3301307481534722 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5855 - code := 3858256025070658590 - certificate := .residual 2470991734230097 - valid := Certificate.valid_of_validB (by decide) } + ⟨735, 3148734961708197150, .residual 1836074462738768⟩, + ⟨991, 3145370465184476190, .residual 3340523242430867⟩, + ⟨1247, 6425391775021624350, .residual 2747091622785106⟩, + ⟨5599, 3870928982686490910, .residual 3301307481534722⟩, + ⟨5855, 3858256025070658590, .residual 2470991734230097⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData28.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData28.lean index f1ba22b35..f67d8f158 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData28.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData28.lean @@ -13,416 +13,123 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets28 : Array (List PatternEntry) := #[ [ - { origin := 480 - mask := 5910974516232212 - certificate := .k4 0 [0, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 736 - mask := 5764608385517355008 - certificate := .k4 3 [3, 4, 7] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 992 - mask := 844712692957458 - certificate := .k4 0 [0, 1, 4, 6] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1504 - mask := 22157738508310 - certificate := .k4 0 [0, 4, 5, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1760 - mask := 5348025916473626 - certificate := .k4 0 [0, 1, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3040 - mask := 3096225889404166 - certificate := .k4 0 [0, 1, 6, 3, 2] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5856 - mask := 7885845176606 - certificate := .k4 0 [0, 1, 3, 5, 4] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7392 - mask := 2450116690172936470 - certificate := .k4 0 [0, 1, 2, 7, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨480, 5910974516232212, .k4 0 [0, 2, 6] 0 2 4 6⟩, + ⟨736, 5764608385517355008, .k4 3 [3, 4, 7] 3 4 6 7⟩, + ⟨992, 844712692957458, .k4 0 [0, 1, 4, 6] 0 1 4 6⟩, + ⟨1760, 5348025916473626, .k4 0 [0, 1, 3, 6] 0 3 4 6⟩, + ⟨3040, 3096225889404166, .k4 0 [0, 1, 6, 3, 2] 0 1 2 6⟩, + ⟨5856, 7885845176606, .k4 0 [0, 1, 3, 5, 4] 0 2 4 5⟩, + ⟨7392, 2450116690172936470, .k4 0 [0, 1, 2, 7, 5, 4] 0 1 2 4⟩ ], [ - { origin := 225 - mask := 5836665117077471232 - certificate := .sharedThree 2 7 0 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 481 - mask := 5911270863667220 - certificate := .k4 0 [0, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1505 - mask := 22162034982940 - certificate := .k4 0 [0, 2, 5, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6369 - mask := 167300076470284 - certificate := .k4 0 [0, 2, 3, 4, 5] 2 3 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7393 - mask := 2450116707402940698 - certificate := .k4 0 [0, 1, 3, 7, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7905 - mask := 2814772334054430 - certificate := .k4 0 [0, 3, 4, 6, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9953 - mask := 4800911969620754702 - certificate := .k4 0 [0, 1, 3, 7, 6, 5, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10977 - mask := 5801782698419233806 - certificate := .k4 0 [0, 2, 3, 6, 7, 4, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨225, 5836665117077471232, .sharedThree 2 7 0 4 6⟩, + ⟨481, 5911270863667220, .k4 0 [0, 4, 6] 0 2 4 6⟩, + ⟨1505, 22162034982940, .k4 0 [0, 2, 5, 4] 0 2 3 4⟩, + ⟨6369, 167300076470284, .k4 0 [0, 2, 3, 4, 5] 2 3 5 7⟩, + ⟨7393, 2450116707402940698, .k4 0 [0, 1, 3, 7, 5, 4] 0 1 3 4⟩, + ⟨9953, 4800911969620754702, .k4 0 [0, 1, 3, 7, 6, 5, 2] 0 1 2 3⟩, + ⟨10977, 5801782698419233806, .k4 0 [0, 2, 3, 6, 7, 4, 5, 1] 0 1 2 3⟩ ], [ - { origin := 226 - mask := 5836665118431117312 - certificate := .sharedThree 3 7 0 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 482 - mask := 7036875776720920 - certificate := .k4 0 [0, 3, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 738 - mask := 5806265819601043456 - certificate := .k4 2 [2, 6, 7] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 994 - mask := 1407374887830790 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1506 - mask := 22166329884700 - certificate := .k4 0 [0, 4, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2018 - mask := 38843548983935242 - certificate := .k4 0 [0, 1, 3, 6] 1 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4066 - mask := 1301822600510488850 - certificate := .k4 0 [0, 1, 7, 4, 6] 0 1 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨226, 5836665118431117312, .sharedThree 3 7 0 4 6⟩, + ⟨482, 7036875776720920, .k4 0 [0, 3, 6] 0 3 4 6⟩, + ⟨738, 5806265819601043456, .k4 2 [2, 6, 7] 2 4 6 7⟩, + ⟨994, 1407374887830790, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1506, 22166329884700, .k4 0 [0, 4, 5, 2] 0 2 3 4⟩, + ⟨2018, 38843548983935242, .k4 0 [0, 1, 3, 6] 1 3 6 7⟩, + ⟨4066, 1301822600510488850, .k4 0 [0, 1, 7, 4, 6] 0 1 4 6⟩ ], [ - { origin := 227 - mask := 5836754177514012672 - certificate := .sharedThree 5 7 0 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 483 - mask := 7037187950379032 - certificate := .k4 0 [0, 4, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 739 - mask := 5807391722983915520 - certificate := .k4 3 [3, 6, 7] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 995 - mask := 1407374887896326 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1507 - mask := 22179213803548 - certificate := .k4 0 [0, 2, 5, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2019 - mask := 38843549047343104 - certificate := .k4 1 [1, 3, 6, 2] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6115 - mask := 27629524823070 - certificate := .k4 0 [0, 2, 4, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6627 - mask := 6755684000597278 - certificate := .k4 0 [0, 1, 3, 2, 6, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨227, 5836754177514012672, .sharedThree 5 7 0 4 6⟩, + ⟨483, 7037187950379032, .k4 0 [0, 4, 6] 0 3 4 6⟩, + ⟨739, 5807391722983915520, .k4 3 [3, 6, 7] 3 4 6 7⟩, + ⟨995, 1407374887896326, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1507, 22179213803548, .k4 0 [0, 2, 5, 4] 0 2 3 4⟩, + ⟨2019, 38843549047343104, .k4 1 [1, 3, 6, 2] 2 3 6 7⟩, + ⟨6115, 27629524823070, .k4 0 [0, 2, 4, 1, 5] 0 1 3 5⟩, ], [ - { origin := 228 - mask := 7061644215723360256 - certificate := .sharedThree 2 7 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 484 - mask := 9362341510537472 - certificate := .k4 1 [1, 5, 6] 0 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 996 - mask := 1407374887960838 - certificate := .k4 0 [0, 1, 2, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1508 - mask := 22183508705308 - certificate := .k4 0 [0, 4, 5, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2788 - mask := 23231478309910 - certificate := .k4 0 [0, 2, 4, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6884 - mask := 10224358634037526 - certificate := .k4 0 [0, 1, 5, 6, 2] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8676 - mask := 2882519267964773642 - certificate := .k4 0 [0, 1, 3, 2, 7, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨228, 7061644215723360256, .sharedThree 2 7 1 5 6⟩, + ⟨484, 9362341510537472, .k4 1 [1, 5, 6] 0 1 5 6⟩, + ⟨996, 1407374887960838, .k4 0 [0, 1, 2, 6] 0 1 2 6⟩, + ⟨1508, 22183508705308, .k4 0 [0, 4, 5, 2] 0 2 3 4⟩, + ⟨2788, 23231478309910, .k4 0 [0, 2, 4, 1, 5] 0 1 2 5⟩, + ⟨6884, 10224358634037526, .k4 0 [0, 1, 5, 6, 2] 0 2 4 5⟩, + ⟨8676, 2882519267964773642, .k4 0 [0, 1, 3, 2, 7, 5] 1 2 5 6⟩ ], [ - { origin := 229 - mask := 7061644217361104896 - certificate := .sharedThree 3 7 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 997 - mask := 1407374887961606 - certificate := .k4 0 [0, 2, 1, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1253 - mask := 10210064979877888 - certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3813 - mask := 13584887067975954 - certificate := .k4 0 [0, 1, 5, 6, 4] 0 1 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4325 - mask := 5227069485072015360 - certificate := .k4 1 [1, 6, 7, 3, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7909 - mask := 2814772417544478 - certificate := .k4 0 [0, 1, 4, 6, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9957 - mask := 4800911982455849238 - certificate := .k4 0 [0, 1, 4, 7, 6, 5, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨229, 7061644217361104896, .sharedThree 3 7 1 5 6⟩, + ⟨997, 1407374887961606, .k4 0 [0, 2, 1, 6] 0 1 2 6⟩, + ⟨3813, 13584887067975954, .k4 0 [0, 1, 5, 6, 4] 0 1 4 5⟩, + ⟨4325, 5227069485072015360, .k4 1 [1, 6, 7, 3, 5] 1 3 5 6⟩, + ⟨9957, 4800911982455849238, .k4 0 [0, 1, 4, 7, 6, 5, 2] 0 1 2 4⟩ ], [ - { origin := 230 - mask := 7061644636623732736 - certificate := .sharedThree 4 7 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 486 - mask := 9368940207669248 - certificate := .k4 3 [3, 5, 6] 0 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 998 - mask := 1407375978856460 - certificate := .k4 0 [0, 2, 3, 6] 0 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2278 - mask := 5225864420898393088 - certificate := .k4 1 [1, 6, 7, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2790 - mask := 23231480340758 - certificate := .k4 0 [0, 1, 4, 5, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4582 - mask := 74766847405068 - certificate := .k4 0 [0, 2, 3, 5, 1] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8422 - mask := 12384938974405906 - certificate := .k4 0 [0, 1, 4, 2, 3, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8678 - mask := 2892085019222754318 - certificate := .k4 0 [0, 3, 7, 5, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10982 - mask := 5809715571966682382 - certificate := .k4 0 [0, 1, 2, 3, 4, 7, 6, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨230, 7061644636623732736, .sharedThree 4 7 1 5 6⟩, + ⟨998, 1407375978856460, .k4 0 [0, 2, 3, 6] 0 2 3 6⟩, + ⟨4582, 74766847405068, .k4 0 [0, 2, 3, 5, 1] 1 2 5 6⟩, + ⟨8422, 12384938974405906, .k4 0 [0, 1, 4, 2, 3, 6] 1 2 5 6⟩, + ⟨10982, 5809715571966682382, .k4 0 [0, 1, 2, 3, 4, 7, 6, 5] 0 1 2 5⟩ ], [ - { origin := 231 - mask := 7205759403792819200 - certificate := .sharedThree 1 7 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 487 - mask := 9378151285129216 - certificate := .k4 4 [4, 5, 6] 0 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 743 - mask := 5908723544333795328 - certificate := .k4 1 [1, 7, 4] 1 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1511 - mask := 23089831739420 - certificate := .k4 0 [0, 3, 2, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2279 - mask := 5228775928426921984 - certificate := .k4 3 [3, 5, 7, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2791 - mask := 23231480341526 - certificate := .k4 0 [0, 4, 5, 2, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4071 - mask := 1310636148279795712 - certificate := .k4 1 [1, 7, 4, 5, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4327 - mask := 5228776099688742912 - certificate := .k4 3 [3, 4, 7, 5, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨231, 7205759403792819200, .sharedThree 1 7 2 5 6⟩, + ⟨743, 5908723544333795328, .k4 1 [1, 7, 4] 1 4 6 7⟩, + ⟨1511, 23089831739420, .k4 0 [0, 3, 2, 5] 0 2 4 5⟩, + ⟨2791, 23231480341526, .k4 0 [0, 4, 5, 2, 1] 0 1 2 5⟩, + ⟨4071, 1310636148279795712, .k4 1 [1, 7, 4, 5, 6] 1 4 5 6⟩, + ⟨4327, 5228776099688742912, .k4 3 [3, 4, 7, 5, 6] 3 4 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets28 : Array (List HardEntry) := #[ [ - { origin := 736 - code := 5997049396192830750 - certificate := .residual 712033508203476 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 992 - code := 3714296387598904350 - certificate := .residual 1836423914256852 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1248 - code := 5420526108164582430 - certificate := .residual 4411674705290508 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5600 - code := 8688942511618187550 - certificate := .residual 340011981866480 - valid := Certificate.valid_of_validB (by decide) } + ⟨736, 5997049396192830750, .residual 712033508203476⟩, + ⟨992, 3714296387598904350, .residual 1836423914256852⟩, + ⟨1248, 5420526108164582430, .residual 4411674705290508⟩, + ⟨5600, 8688942511618187550, .residual 340011981866480⟩ ], [ - { origin := 737 - code := 6427699539260171550 - certificate := .residual 2218913724493875 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 993 - code := 7181504760096844830 - certificate := .residual 3302014003546500 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1249 - code := 5993052807863823390 - certificate := .residual 4240219047359687 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5601 - code := 8373204691001729310 - certificate := .residual 332317275857392 - valid := Certificate.valid_of_validB (by decide) } + ⟨737, 6427699539260171550, .residual 2218913724493875⟩, + ⟨993, 7181504760096844830, .residual 3302014003546500⟩, + ⟨1249, 5993052807863823390, .residual 4240219047359687⟩, + ⟨5601, 8373204691001729310, .residual 332317275857392⟩ ], [ - { origin := 738 - code := 3723449702902621470 - certificate := .residual 712048544259028 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 994 - code := 2858049375519206430 - certificate := .residual 3361692603540993 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1250 - code := 5418843855374085150 - certificate := .residual 988043092366290 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5602 - code := 8230703860873355550 - certificate := .residual 3300089858189832 - valid := Certificate.valid_of_validB (by decide) } + ⟨738, 3723449702902621470, .residual 712048544259028⟩, + ⟨994, 2858049375519206430, .residual 3361692603540993⟩, + ⟨1250, 5418843855374085150, .residual 988043092366290⟩, + ⟨5602, 8230703860873355550, .residual 3300089858189832⟩ ], [ - { origin := 739 - code := 4154099845969962270 - certificate := .residual 2218928760549427 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 995 - code := 3149291443405286430 - certificate := .residual 2702633194729776 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1251 - code := 5132295749192739870 - certificate := .residual 1985458739798690 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5603 - code := 8229582359013024030 - certificate := .residual 3300089858189833 - valid := Certificate.valid_of_validB (by decide) } + ⟨739, 4154099845969962270, .residual 2218928760549427⟩, + ⟨995, 3149291443405286430, .residual 2702633194729776⟩, + ⟨1251, 5132295749192739870, .residual 1985458739798690⟩, + ⟨5603, 8229582359013024030, .residual 3300089858189833⟩ ], [ - { origin := 740 - code := 5420597722209281310 - certificate := .residual 711896337513428 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 996 - code := 2851856819445918750 - certificate := .residual 4346975314200066 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1252 - code := 6463392430482877470 - certificate := .residual 348930032675952 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5604 - code := 8401831412735074590 - certificate := .residual 3917860810886402 - valid := Certificate.valid_of_validB (by decide) } + ⟨740, 5420597722209281310, .residual 711896337513428⟩, + ⟨996, 2851856819445918750, .residual 4346975314200066⟩, + ⟨1252, 6463392430482877470, .residual 348930032675952⟩, + ⟨5604, 8401831412735074590, .residual 3917860810886402⟩ ], [ - { origin := 741 - code := 6425447996138415390 - certificate := .residual 2773067585007667 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 997 - code := 3714296126629309470 - certificate := .residual 2122159506911923 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1253 - code := 4158110309638302750 - certificate := .residual 4347907321983241 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5605 - code := 4149307735173423390 - certificate := .residual 1549863436361298 - valid := Certificate.valid_of_validB (by decide) } + ⟨741, 6425447996138415390, .residual 2773067585007667⟩, + ⟨997, 3714296126629309470, .residual 2122159506911923⟩, + ⟨1253, 4158110309638302750, .residual 4347907321983241⟩, + ⟨5605, 4149307735173423390, .residual 1549863436361298⟩ ], [ - { origin := 742 - code := 3149240895737652510 - certificate := .residual 711911373568980 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 998 - code := 3140070685995002910 - certificate := .residual 3323205934277266 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1254 - code := 3725771342480501790 - certificate := .residual 4347907321983240 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5606 - code := 3862203258928554270 - certificate := .residual 3303381950818444 - valid := Certificate.valid_of_validB (by decide) } + ⟨742, 3149240895737652510, .residual 711911373568980⟩, + ⟨998, 3140070685995002910, .residual 3323205934277266⟩, + ⟨1254, 3725771342480501790, .residual 4347907321983240⟩, + ⟨5606, 3862203258928554270, .residual 3303381950818444⟩ ], [ - { origin := 743 - code := 4154091169666786590 - certificate := .residual 2773082621063219 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 999 - code := 2851840327023160350 - certificate := .residual 4346855055058439 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1255 - code := 3870935739527162910 - certificate := .residual 333533078752496 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5607 - code := 4147064731452760350 - certificate := .residual 3105559389562567 - valid := Certificate.valid_of_validB (by decide) } + ⟨743, 4154091169666786590, .residual 2773082621063219⟩, + ⟨999, 2851840327023160350, .residual 4346855055058439⟩, + ⟨1255, 3870935739527162910, .residual 333533078752496⟩, + ⟨5607, 4147064731452760350, .residual 3105559389562567⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData29.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData29.lean index 0493eeb1d..edffbde3f 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData29.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData29.lean @@ -13,404 +13,114 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets29 : Array (List PatternEntry) := #[ [ - { origin := 232 - mask := 7205759405470515200 - certificate := .sharedThree 3 7 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 488 - mask := 9570149214610432 - certificate := .k4 1 [1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 744 - mask := 5945315291306131456 - certificate := .k4 4 [4, 7, 6] 1 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1768 - mask := 5629787302395926 - certificate := .k4 0 [0, 4, 6, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4072 - mask := 1310636285718749184 - certificate := .k4 1 [1, 7, 4, 6, 5] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4328 - mask := 5228960684246564888 - certificate := .k4 0 [0, 3, 4, 7, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4584 - mask := 74766881546506 - certificate := .k4 0 [0, 1, 3, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10984 - mask := 5809716671493514510 - certificate := .k4 0 [0, 1, 2, 5, 6, 7, 4, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨488, 9570149214610432, .k4 1 [1, 2, 6] 1 2 5 6⟩, + ⟨744, 5945315291306131456, .k4 4 [4, 7, 6] 1 4 6 7⟩, + ⟨1768, 5629787302395926, .k4 0 [0, 4, 6, 2] 0 1 2 4⟩, + ⟨4072, 1310636285718749184, .k4 1 [1, 7, 4, 6, 5] 1 4 5 6⟩, + ⟨4328, 5228960684246564888, .k4 0 [0, 3, 4, 7, 6] 0 3 4 6⟩, + ⟨10984, 5809716671493514510, .k4 0 [0, 1, 2, 5, 6, 7, 4, 3] 0 1 2 3⟩ ], [ - { origin := 489 - mask := 9570150852356096 - certificate := .k4 1 [1, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2025 - mask := 39406498983510028 - certificate := .k4 0 [0, 2, 3, 6] 2 3 6 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨489, 9570150852356096, .k4 1 [1, 3, 6] 1 3 5 6⟩, + ⟨2025, 39406498983510028, .k4 0 [0, 2, 3, 6] 2 3 6 7⟩ ], [ - { origin := 234 - mask := 7493989779944531968 - certificate := .sharedThree 1 7 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 746 - mask := 6052838191257354240 - certificate := .k4 2 [2, 4, 7] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1002 - mask := 1407654061735956 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1258 - mask := 10216663188766720 - certificate := .k4 2 [2, 3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1514 - mask := 23231478113558 - certificate := .k4 0 [0, 1, 4, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2282 - mask := 5229805070779416576 - certificate := .k4 2 [2, 6, 7, 3] 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4330 - mask := 5231010547297681408 - certificate := .k4 3 [3, 5, 7, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨234, 7493989779944531968, .sharedThree 1 7 3 5 6⟩, + ⟨746, 6052838191257354240, .k4 2 [2, 4, 7] 2 4 6 7⟩, + ⟨1002, 1407654061735956, .k4 0 [0, 2, 4, 6] 0 2 4 6⟩, + ⟨1514, 23231478113558, .k4 0 [0, 1, 4, 5] 0 1 2 5⟩, + ⟨4330, 5231010547297681408, .k4 3 [3, 5, 7, 6, 4] 3 4 5 6⟩ ], [ - { origin := 747 - mask := 6052838723833298944 - certificate := .k4 2 [2, 7, 4] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1003 - mask := 1407666946637844 - certificate := .k4 0 [0, 2, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1515 - mask := 23232098861084 - certificate := .k4 0 [0, 3, 4, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1771 - mask := 5629808777691164 - certificate := .k4 0 [0, 2, 6, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4331 - mask := 5233756715295467520 - certificate := .k4 1 [1, 5, 6, 7, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7403 - mask := 2594216321969368078 - certificate := .k4 0 [0, 2, 3, 7, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7915 - mask := 2814776913772830 - certificate := .k4 0 [0, 1, 2, 6, 4, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨747, 6052838723833298944, .k4 2 [2, 7, 4] 2 4 6 7⟩, + ⟨1003, 1407666946637844, .k4 0 [0, 2, 4, 6] 0 2 4 6⟩, + ⟨1771, 5629808777691164, .k4 0 [0, 2, 6, 4] 0 2 3 4⟩, + ⟨4331, 5233756715295467520, .k4 1 [1, 5, 6, 7, 3] 1 3 5 6⟩, + ⟨7403, 2594216321969368078, .k4 0 [0, 2, 3, 7, 5, 1] 0 1 2 3⟩, ], [ - { origin := 236 - mask := 7493990226621104128 - certificate := .sharedThree 4 7 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 748 - mask := 6052838741004779520 - certificate := .k4 2 [2, 4, 7] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1260 - mask := 10216663658528768 - certificate := .k4 2 [2, 5, 3, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1772 - mask := 5629813072592924 - certificate := .k4 0 [0, 4, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2284 - mask := 5233182770796193792 - certificate := .k4 1 [1, 3, 7, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4332 - mask := 5234321864278933504 - certificate := .k4 2 [2, 5, 6, 7, 3] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6124 - mask := 72984386741522 - certificate := .k4 0 [0, 1, 4, 2, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8684 - mask := 3458908004383534110 - certificate := .k4 0 [0, 2, 4, 7, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9964 - mask := 4800916368251912462 - certificate := .k4 0 [0, 1, 2, 7, 6, 5, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨748, 6052838741004779520, .k4 2 [2, 4, 7] 2 4 6 7⟩, + ⟨1260, 10216663658528768, .k4 2 [2, 5, 3, 6] 2 3 5 6⟩, + ⟨2284, 5233182770796193792, .k4 1 [1, 3, 7, 6] 1 3 5 6⟩, + ⟨4332, 5234321864278933504, .k4 2 [2, 5, 6, 7, 3] 2 3 5 6⟩, + ⟨8684, 3458908004383534110, .k4 0 [0, 2, 4, 7, 5, 1] 0 1 2 3⟩, + ⟨9964, 4800916368251912462, .k4 0 [0, 1, 2, 7, 6, 5, 3] 0 1 2 3⟩ ], [ - { origin := 493 - mask := 9660730068434944 - certificate := .k4 4 [4, 5, 6] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 749 - mask := 6052838741012119552 - certificate := .k4 2 [2, 7, 4] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1773 - mask := 5629825956511772 - certificate := .k4 0 [0, 2, 6, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2285 - mask := 5233182770836537344 - certificate := .k4 2 [2, 3, 7, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4333 - mask := 5235507137270016000 - certificate := .k4 1 [1, 5, 6, 7, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8685 - mask := 3458908004466830366 - certificate := .k4 0 [0, 3, 4, 7, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨749, 6052838741012119552, .k4 2 [2, 7, 4] 2 4 6 7⟩, + ⟨1773, 5629825956511772, .k4 0 [0, 2, 6, 4] 0 2 3 4⟩, + ⟨4333, 5235507137270016000, .k4 1 [1, 5, 6, 7, 3] 1 3 5 6⟩, + ⟨8685, 3458908004466830366, .k4 0 [0, 3, 4, 7, 5, 1] 0 1 2 3⟩ ], [ - { origin := 238 - mask := 8070450532255268864 - certificate := .sharedThree 2 7 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 494 - mask := 9854922719781120 - certificate := .k4 1 [1, 5, 6] 0 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 750 - mask := 6089993437925343232 - certificate := .k4 4 [4, 7, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1262 - mask := 10221352156921856 - certificate := .k4 2 [2, 4, 6, 5] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1774 - mask := 5629830251413532 - certificate := .k4 0 [0, 4, 6, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2286 - mask := 5233183217707646976 - certificate := .k4 3 [3, 4, 7, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2542 - mask := 9896158505998 - certificate := .k4 0 [0, 2, 3, 1, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4334 - mask := 5235509336300060672 - certificate := .k4 2 [2, 5, 6, 7, 3] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8686 - mask := 3458908051628171550 - certificate := .k4 0 [0, 1, 2, 5, 7, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9966 - mask := 4800916381337944346 - certificate := .k4 0 [0, 1, 4, 7, 6, 5, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨238, 8070450532255268864, .sharedThree 2 7 4 5 6⟩, + ⟨494, 9854922719781120, .k4 1 [1, 5, 6] 0 1 5 6⟩, + ⟨750, 6089993437925343232, .k4 4 [4, 7, 6] 2 4 6 7⟩, + ⟨1774, 5629830251413532, .k4 0 [0, 4, 6, 2] 0 2 3 4⟩, + ⟨9966, 4800916381337944346, .k4 0 [0, 1, 4, 7, 6, 5, 3] 0 1 3 4⟩ ], [ - { origin := 239 - mask := 8070450534126977024 - certificate := .sharedThree 3 7 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 495 - mask := 9923092440703232 - certificate := .k4 1 [1, 6, 5] 0 1 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 751 - mask := 6093370295845912576 - certificate := .k4 2 [2, 7, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1007 - mask := 1688850972298240 - certificate := .k4 1 [1, 3, 6, 2] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1519 - mask := 23279007957020 - certificate := .k4 0 [0, 3, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2287 - mask := 5233745720716060672 - certificate := .k4 1 [1, 6, 7, 3] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2543 - mask := 9896160535822 - certificate := .k4 0 [0, 1, 3, 2, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4335 - mask := 5235522977109377024 - certificate := .k4 3 [3, 7, 6, 5, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4847 - mask := 149534145750028 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 2 5 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6127 - mask := 74768420400140 - certificate := .k4 0 [0, 2, 3, 1, 5] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨239, 8070450534126977024, .sharedThree 3 7 4 5 6⟩, + ⟨495, 9923092440703232, .k4 1 [1, 6, 5] 0 1 5 6⟩, + ⟨751, 6093370295845912576, .k4 2 [2, 7, 6] 2 4 6 7⟩, + ⟨1007, 1688850972298240, .k4 1 [1, 3, 6, 2] 1 2 3 6⟩, + ⟨1519, 23279007957020, .k4 0 [0, 3, 4, 5] 0 2 4 5⟩, + ⟨2287, 5233745720716060672, .k4 1 [1, 6, 7, 3] 1 3 5 6⟩, + ⟨4335, 5235522977109377024, .k4 3 [3, 7, 6, 5, 4] 3 4 5 6⟩, + ⟨4847, 149534145750028, .k4 0 [0, 2, 3, 1, 5] 1 2 5 7⟩, + ⟨6127, 74768420400140, .k4 0 [0, 2, 3, 1, 5] 1 3 5 6⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets29 : Array (List HardEntry) := #[ [ - { origin := 744 - code := 7689008565333484830 - certificate := .residual 3362519384732035 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1000 - code := 6172702974236912670 - certificate := .residual 739416805833664 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1256 - code := 4158101496566737950 - certificate := .residual 1561370693492400 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5608 - code := 3285751302718152990 - certificate := .residual 2182920559717970 - valid := Certificate.valid_of_validB (by decide) } + ⟨744, 7689008565333484830, .residual 3362519384732035⟩, + ⟨1000, 6172702974236912670, .residual 739416805833664⟩, + ⟨1256, 4158101496566737950, .residual 1561370693492400⟩, + ⟨5608, 3285751302718152990, .residual 2182920559717970⟩ ], [ - { origin := 745 - code := 5446497559543768350 - certificate := .residual 158131447544564 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1001 - code := 3871065734438415390 - certificate := .residual 739418688551872 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1257 - code := 3140514888198220830 - certificate := .residual 815713717961634 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5609 - code := 3858838753347559710 - certificate := .residual 2605289118851666 - valid := Certificate.valid_of_validB (by decide) } + ⟨745, 5446497559543768350, .residual 158131447544564⟩, + ⟨1001, 3871065734438415390, .residual 739418688551872⟩, + ⟨1257, 3140514888198220830, .residual 815713717961634⟩, + ⟨5609, 3858838753347559710, .residual 2605289118851666⟩ ], [ - { origin := 746 - code := 8263217235462677790 - certificate := .residual 3362504352289155 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1002 - code := 5159386478491560990 - certificate := .residual 174712139397489 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1258 - code := 3148677529412398110 - certificate := .residual 3302014003546498 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5610 - code := 6428199515367072030 - certificate := .residual 4161283991128770 - valid := Certificate.valid_of_validB (by decide) } + ⟨746, 8263217235462677790, .residual 3362504352289155⟩, + ⟨1002, 5159386478491560990, .residual 174712139397489⟩, + ⟨1258, 3148677529412398110, .residual 3302014003546498⟩, + ⟨5610, 6428199515367072030, .residual 4161283991128770⟩ ], [ - { origin := 747 - code := 6020706229672961310 - certificate := .residual 158116415101684 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1003 - code := 5168043070975994910 - certificate := .residual 1140736403799778 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1259 - code := 4148742861646556190 - certificate := .residual 2747106658840658 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5611 - code := 6141095039122202910 - certificate := .residual 2912165811693381 - valid := Certificate.valid_of_validB (by decide) } + ⟨747, 6020706229672961310, .residual 158116415101684⟩, + ⟨1003, 5168043070975994910, .residual 1140736403799778⟩, + ⟨1259, 4148742861646556190, .residual 2747106658840658⟩, + ⟨5611, 6141095039122202910, .residual 2912165811693381⟩ ], [ - { origin := 748 - code := 5446497533774357790 - certificate := .residual 158131447544561 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1004 - code := 5445930199528074270 - certificate := .residual 782651904673744 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1260 - code := 3718086147279252510 - certificate := .residual 4240235966133447 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5612 - code := 6425956511646408990 - certificate := .residual 2297906932433509 - valid := Certificate.valid_of_validB (by decide) } + ⟨748, 5446497533774357790, .residual 158131447544561⟩, + ⟨1004, 5445930199528074270, .residual 782651904673744⟩, + ⟨1260, 3718086147279252510, .residual 4240235966133447⟩, + ⟨5612, 6425956511646408990, .residual 2297906932433509⟩ ], [ - { origin := 749 - code := 8697231858341602590 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 6 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1005 - code := 5159377661141806110 - certificate := .residual 307643554354420 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1261 - code := 3141634191068851230 - certificate := .residual 917676477322194 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5613 - code := 5564643082911801630 - certificate := .residual 3105903200847554 - valid := Certificate.valid_of_validB (by decide) } + ⟨749, 8697231858341602590, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 6 4⟩, + ⟨1005, 5159377661141806110, .residual 307643554354420⟩, + ⟨1261, 3141634191068851230, .residual 917676477322194⟩, + ⟨5613, 5564643082911801630, .residual 3105903200847554⟩ ], [ - { origin := 750 - code := 6455283802471752990 - certificate := .residual 2471465258043600 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1006 - code := 5159377652585425950 - certificate := .residual 307643554354417 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1262 - code := 3714160890768092190 - certificate := .residual 2113500852842962 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5614 - code := 6137730533541208350 - certificate := .residual 3528272008854210 - valid := Certificate.valid_of_validB (by decide) } + ⟨750, 6455283802471752990, .residual 2471465258043600⟩, + ⟨1006, 5159377652585425950, .residual 307643554354417⟩, + ⟨1262, 3714160890768092190, .residual 2113500852842962⟩, + ⟨5614, 6137730533541208350, .residual 3528272008854210⟩ ], [ - { origin := 751 - code := 7680143312584008990 - certificate := .residual 1166830687567330 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1007 - code := 5452051305548835870 - certificate := .residual 2437683589634610 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1263 - code := 3139951938278353950 - certificate := .residual 4350102050465036 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5615 - code := 3862196687628591390 - certificate := .residual 1996449391768610 - valid := Certificate.valid_of_validB (by decide) } + ⟨751, 7680143312584008990, .residual 1166830687567330⟩, + ⟨1007, 5452051305548835870, .residual 2437683589634610⟩, + ⟨1263, 3139951938278353950, .residual 4350102050465036⟩, + ⟨5615, 3862196687628591390, .residual 1996449391768610⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData30.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData30.lean index 761a5d40b..edd0ea684 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData30.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData30.lean @@ -13,384 +13,120 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets30 : Array (List PatternEntry) := #[ [ - { origin := 240 - mask := 593166 - certificate := .k4 0 [0, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 752 - mask := 6341068588064964608 - certificate := .k4 3 [3, 4, 7] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1776 - mask := 5910974516299030 - certificate := .k4 0 [0, 1, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2544 - mask := 9896160601102 - certificate := .k4 0 [0, 2, 3, 1, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4080 - mask := 1441152447988432924 - certificate := .k4 0 [0, 2, 3, 7, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5104 - mask := 5066828754275358 - certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨240, 593166, .k4 0 [0, 1, 2] 0 1 2 3⟩, + ⟨752, 6341068588064964608, .k4 3 [3, 4, 7] 3 4 6 7⟩, + ⟨1776, 5910974516299030, .k4 0 [0, 1, 2, 6] 0 2 4 6⟩, + ⟨4080, 1441152447988432924, .k4 0 [0, 2, 3, 7, 4] 0 2 3 4⟩, + ⟨5104, 5066828754275358, .k4 0 [0, 2, 4, 6, 1] 0 1 2 3⟩ ], [ - { origin := 241 - mask := 658702 - certificate := .k4 0 [0, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 753 - mask := 6341069103461040128 - certificate := .k4 3 [3, 7, 4] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1009 - mask := 1688851001789440 - certificate := .k4 1 [1, 2, 6, 3] 1 2 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1521 - mask := 26539441782810 - certificate := .k4 0 [0, 4, 5, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1777 - mask := 5910974600577052 - certificate := .k4 0 [0, 3, 2, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2801 - mask := 23244364186902 - certificate := .k4 0 [0, 1, 2, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5105 - mask := 5066828754340894 - certificate := .k4 0 [0, 4, 6, 1, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9969 - mask := 4800925326916157718 - certificate := .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨241, 658702, .k4 0 [0, 1, 2] 0 1 2 3⟩, + ⟨753, 6341069103461040128, .k4 3 [3, 7, 4] 3 4 6 7⟩, + ⟨1009, 1688851001789440, .k4 1 [1, 2, 6, 3] 1 2 3 6⟩, + ⟨1521, 26539441782810, .k4 0 [0, 4, 5, 3] 0 1 3 4⟩, + ⟨1777, 5910974600577052, .k4 0 [0, 3, 2, 6] 0 2 4 6⟩, + ⟨5105, 5066828754340894, .k4 0 [0, 4, 6, 1, 2] 0 1 2 3⟩, + ⟨9969, 4800925326916157718, .k4 0 [0, 1, 2, 7, 6, 5, 4] 0 1 2 4⟩ ], [ - { origin := 498 - mask := 10133099168031744 - certificate := .k4 1 [1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 754 - mask := 6341069135673294848 - certificate := .k4 3 [3, 4, 7] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2546 - mask := 9896175283214 - certificate := .k4 0 [0, 2, 1, 3, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4082 - mask := 1441152464967958556 - certificate := .k4 0 [0, 3, 2, 7, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8178 - mask := 9658251872914462 - certificate := .k4 0 [0, 2, 4, 5, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨498, 10133099168031744, .k4 1 [1, 2, 6] 1 2 5 6⟩, + ⟨754, 6341069135673294848, .k4 3 [3, 4, 7] 3 4 6 7⟩, + ⟨2546, 9896175283214, .k4 0 [0, 2, 1, 3, 5] 0 1 3 5⟩, + ⟨4082, 1441152464967958556, .k4 0 [0, 3, 2, 7, 4] 0 2 3 4⟩, + ⟨8178, 9658251872914462, .k4 0 [0, 2, 4, 5, 6, 1] 0 1 2 3⟩ ], [ - { origin := 243 - mask := 723982 - certificate := .k4 0 [0, 2, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 755 - mask := 6341069137552343040 - certificate := .k4 3 [3, 7, 4] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1779 - mask := 5911253683815702 - certificate := .k4 0 [0, 1, 4, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2291 - mask := 5237686817066582016 - certificate := .k4 3 [3, 7, 6, 4] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2547 - mask := 9896177249542 - certificate := .k4 0 [0, 1, 2, 3, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3315 - mask := 9361242003170566 - certificate := .k4 0 [0, 1, 2, 5, 6] 0 1 2 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5107 - mask := 5066828837571614 - certificate := .k4 0 [0, 3, 4, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 9971 - mask := 4800925344146161946 - certificate := .k4 0 [0, 1, 3, 7, 6, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) } + ⟨243, 723982, .k4 0 [0, 2, 1] 0 1 2 3⟩, + ⟨755, 6341069137552343040, .k4 3 [3, 7, 4] 3 4 6 7⟩, + ⟨1779, 5911253683815702, .k4 0 [0, 1, 4, 6] 0 1 2 6⟩, + ⟨2291, 5237686817066582016, .k4 3 [3, 7, 6, 4] 3 4 5 6⟩, + ⟨3315, 9361242003170566, .k4 0 [0, 1, 2, 5, 6] 0 1 2 6⟩, + ⟨5107, 5066828837571614, .k4 0 [0, 3, 4, 6, 1] 0 1 2 3⟩, + ⟨9971, 4800925344146161946, .k4 0 [0, 1, 3, 7, 6, 5, 4] 0 1 3 4⟩ ], [ - { origin := 756 - mask := 6379349731163766784 - certificate := .k4 4 [4, 7, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1268 - mask := 10225870458322944 - certificate := .k4 2 [2, 5, 4, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1524 - mask := 26569254895642 - certificate := .k4 0 [0, 3, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2292 - mask := 5237783127144792064 - certificate := .k4 3 [3, 7, 6, 5] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4084 - mask := 1441152482348105756 - certificate := .k4 0 [0, 3, 4, 7, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5108 - mask := 5066828854348830 - certificate := .k4 0 [0, 4, 6, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8692 - mask := 3458913532291064846 - certificate := .k4 0 [0, 3, 4, 7, 5, 1] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨756, 6379349731163766784, .k4 4 [4, 7, 6] 3 4 6 7⟩, + ⟨1268, 10225870458322944, .k4 2 [2, 5, 4, 6] 2 4 5 6⟩, + ⟨1524, 26569254895642, .k4 0 [0, 3, 5, 4] 0 1 3 4⟩, + ⟨2292, 5237783127144792064, .k4 3 [3, 7, 6, 5] 3 4 5 6⟩, + ⟨5108, 5066828854348830, .k4 0 [0, 4, 6, 1, 3] 0 1 2 3⟩, + ⟨8692, 3458913532291064846, .k4 0 [0, 3, 4, 7, 5, 1] 0 1 2 5⟩ ], [ - { origin := 501 - mask := 10210064975553536 - certificate := .k4 1 [1, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 757 - mask := 6381600675473653760 - certificate := .k4 3 [3, 7, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1525 - mask := 26573533085722 - certificate := .k4 0 [0, 4, 5, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2293 - mask := 5271957047779262464 - certificate := .k4 3 [3, 6, 7, 5] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7157 - mask := 13584745336284182 - certificate := .k4 0 [0, 4, 6, 5, 1, 2] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) } + ⟨501, 10210064975553536, .k4 1 [1, 5, 6] 1 2 5 6⟩, + ⟨757, 6381600675473653760, .k4 3 [3, 7, 6] 3 4 6 7⟩, + ⟨1525, 26573533085722, .k4 0 [0, 4, 5, 3] 0 1 3 4⟩, + ⟨2293, 5271957047779262464, .k4 3 [3, 6, 7, 5] 0 5 6 7⟩, ], [ - { origin := 502 - mask := 10216663723016192 - certificate := .k4 3 [3, 5, 6] 2 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 758 - mask := 6999087501654622208 - certificate := .k4 5 [5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2038 - mask := 41095909240520978 - certificate := .k4 0 [0, 1, 4, 6] 1 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2294 - mask := 5305672471796514816 - certificate := .k4 3 [3, 5, 7, 6] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4342 - mask := 5802985736688893952 - certificate := .k4 3 [3, 4, 5, 7, 6] 3 4 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨502, 10216663723016192, .k4 3 [3, 5, 6] 2 3 5 6⟩, + ⟨758, 6999087501654622208, .k4 5 [5, 6, 7] 0 5 6 7⟩, + ⟨2038, 41095909240520978, .k4 0 [0, 1, 4, 6] 1 4 6 7⟩, + ⟨2294, 5305672471796514816, .k4 3 [3, 5, 7, 6] 0 5 6 7⟩, + ⟨4342, 5802985736688893952, .k4 3 [3, 4, 5, 7, 6] 3 4 5 6⟩ ], [ - { origin := 503 - mask := 10225887635046400 - certificate := .k4 4 [4, 5, 6] 2 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 759 - mask := 7026109099418845184 - certificate := .k4 5 [5, 7, 6] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1527 - mask := 26582156574748 - certificate := .k4 0 [0, 4, 5, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1783 - mask := 5911301213650972 - certificate := .k4 0 [0, 3, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5111 - mask := 5066841640225806 - certificate := .k4 0 [0, 2, 4, 6, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8439 - mask := 13583645823020062 - certificate := .k4 0 [0, 2, 4, 6, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨503, 10225887635046400, .k4 4 [4, 5, 6] 2 4 5 6⟩, + ⟨759, 7026109099418845184, .k4 5 [5, 7, 6] 0 5 6 7⟩, + ⟨1527, 26582156574748, .k4 0 [0, 4, 5, 3] 0 2 3 4⟩, + ⟨1783, 5911301213650972, .k4 0 [0, 3, 4, 6] 0 2 4 6⟩, + ⟨8439, 13583645823020062, .k4 0 [0, 2, 4, 6, 5, 1] 0 1 2 3⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets30 : Array (List HardEntry) := #[ [ - { origin := 752 - code := 4147201482135594270 - certificate := .residual 1252425101647666 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1008 - code := 5163820946576993310 - certificate := .residual 4346855055058437 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1264 - code := 6427634641840204830 - certificate := .residual 2903612388423490 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5616 - code := 3718088070886252830 - certificate := .residual 1379490129108002 - valid := Certificate.valid_of_validB (by decide) } + ⟨752, 4147201482135594270, .residual 1252425101647666⟩, + ⟨1008, 5163820946576993310, .residual 4346855055058437⟩, + ⟨1264, 6427634641840204830, .residual 2903612388423490⟩, + ⟨5616, 3718088070886252830, .residual 1379490129108002⟩ ], [ - { origin := 753 - code := 8230831648747971870 - certificate := .residual 3746621203614352 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1009 - code := 2851861217024240670 - certificate := .residual 1141835661672162 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1265 - code := 5996977927472901150 - certificate := .residual 2316458848637029 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5617 - code := 8227330533664416030 - certificate := .residual 1077587367712688 - valid := Certificate.valid_of_validB (by decide) } + ⟨753, 8230831648747971870, .residual 3746621203614352⟩, + ⟨1009, 2851861217024240670, .residual 1141835661672162⟩, + ⟨1265, 5996977927472901150, .residual 2316458848637029⟩, + ⟨5617, 8227330533664416030, .residual 1077587367712688⟩ ], [ - { origin := 754 - code := 8661485077465294110 - certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 3 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1010 - code := 2860517809508674590 - certificate := .residual 173612881525105 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1266 - code := 5420525971262499870 - certificate := .residual 3607387453904194 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5618 - code := 6461703848537022750 - certificate := .residual 4411539413806338 - valid := Certificate.valid_of_validB (by decide) } + ⟨754, 8661485077465294110, .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 3 4 6⟩, + ⟨1010, 2860517809508674590, .residual 173612881525105⟩, + ⟨1266, 5420525971262499870, .residual 3607387453904194⟩, + ⟨5618, 6461703848537022750, .residual 4411539413806338⟩ ], [ - { origin := 755 - code := 3714723978626622750 - certificate := .residual 712048544259025 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1011 - code := 3149304534265850910 - certificate := .residual 782514723145680 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1267 - code := 5993052670961740830 - certificate := .residual 4240459566044354 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5619 - code := 7825380016833880350 - certificate := .residual 3918958175202562 - valid := Certificate.valid_of_validB (by decide) } + ⟨755, 3714723978626622750, .residual 712048544259025⟩, + ⟨1011, 3149304534265850910, .residual 782514723145680⟩, + ⟨1267, 5993052670961740830, .residual 4240459566044354⟩, + ⟨5619, 7825380016833880350, .residual 3918958175202562⟩ ], [ - { origin := 756 - code := 8694980340888986910 - certificate := .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 6 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1012 - code := 2858265988438256670 - certificate := .residual 307506372826356 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1268 - code := 5418843718472002590 - certificate := .residual 4108415090800837 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5364 - code := 6168179608612757790 - certificate := .residual 943464467575728 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5620 - code := 5600379407741149470 - certificate := .residual 278422507013616 - valid := Certificate.valid_of_validB (by decide) } + ⟨756, 8694980340888986910, .hubPentagon 0 [0, 1, 2, 3, 4, 5, 6, 7] 1 0 2 5 6 3⟩, + ⟨1012, 2858265988438256670, .residual 307506372826356⟩, + ⟨1268, 5418843718472002590, .residual 4108415090800837⟩, + ⟨5364, 6168179608612757790, .residual 943464467575728⟩, + ⟨5620, 5600379407741149470, .residual 278422507013616⟩ ], [ - { origin := 757 - code := 6453032276462757150 - certificate := .residual 1978884048742608 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1013 - code := 3140075083573324830 - certificate := .residual 2446477549853234 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1269 - code := 2851721579306511390 - certificate := .residual 1986420816143010 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5365 - code := 6455283811053461790 - certificate := .residual 943466375984048 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5621 - code := 8686682433507221790 - certificate := .residual 269643505780208 - valid := Certificate.valid_of_validB (by decide) } + ⟨757, 6453032276462757150, .residual 1978884048742608⟩, + ⟨1013, 3140075083573324830, .residual 2446477549853234⟩, + ⟨1269, 2851721579306511390, .residual 1986420816143010⟩, + ⟨5365, 6455283811053461790, .residual 943466375984048⟩, + ⟨5621, 8686682433507221790, .residual 269643505780208⟩ ], [ - { origin := 758 - code := 6020706229438997790 - certificate := .residual 158116415101681 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1014 - code := 2851844724601482270 - certificate := .residual 4408427709883909 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1270 - code := 6032720999124986910 - certificate := .residual 1489957486108339 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5366 - code := 6173477856109912350 - certificate := .residual 4411674705290498 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5622 - code := 3867071920391512350 - certificate := .residual 1006138292344752 - valid := Certificate.valid_of_validB (by decide) } + ⟨758, 6020706229438997790, .residual 158116415101681⟩, + ⟨1014, 2851844724601482270, .residual 4408427709883909⟩, + ⟨1270, 6032720999124986910, .residual 1489957486108339⟩, + ⟨5366, 6173477856109912350, .residual 4411674705290498⟩, + ⟨5622, 3867071920391512350, .residual 1006138292344752⟩ ], [ - { origin := 759 - code := 8254352418954896670 - certificate := .residual 1158036741799394 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1015 - code := 2858265979881876510 - certificate := .residual 307506372826353 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1271 - code := 3713174639592238110 - certificate := .residual 1560309065096883 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5367 - code := 7824258500651639070 - certificate := .residual 3919093466686722 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5623 - code := 4155289076868768030 - certificate := .residual 3361797830289928 - valid := Certificate.valid_of_validB (by decide) } + ⟨759, 8254352418954896670, .residual 1158036741799394⟩, + ⟨1015, 2858265979881876510, .residual 307506372826353⟩, + ⟨1271, 3713174639592238110, .residual 1560309065096883⟩, + ⟨5367, 7824258500651639070, .residual 3919093466686722⟩, + ⟨5623, 4155289076868768030, .residual 3361797830289928⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageData31.lean b/LeanPool/Erdos97ConvexOctagon/CoverageData31.lean index 2a26a6ab8..0aa7caaee 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageData31.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageData31.lean @@ -13,460 +13,134 @@ namespace Erdos97Octagon.RawIncidence /-- Generated monotone-obstruction entries for this hash-bucket group. -/ def patternBuckets31 : Array (List PatternEntry) := #[ [ - { origin := 248 - mask := 51052558 - certificate := .k4 0 [0, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 760 - mask := 7034975561185230848 - certificate := .k4 5 [5, 6, 7] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4088 - mask := 1441171276841418772 - certificate := .k4 0 [0, 2, 7, 4, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4344 - mask := 5803170454122266648 - certificate := .k4 0 [0, 3, 4, 7, 6] 0 3 4 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨248, 51052558, .k4 0 [0, 2, 3] 0 1 2 3⟩, + ⟨760, 7034975561185230848, .k4 5 [5, 6, 7] 0 5 6 7⟩, + ⟨4088, 1441171276841418772, .k4 0 [0, 2, 7, 4, 5] 0 2 4 5⟩, + ⟨4344, 5803170454122266648, .k4 0 [0, 3, 4, 7, 6] 0 3 4 6⟩ ], [ - { origin := 249 - mask := 83889422 - certificate := .k4 0 [0, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 761 - mask := 7035045929929408512 - certificate := .k4 5 [5, 7, 6] 0 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1529 - mask := 27488347553820 - certificate := .k4 0 [0, 2, 3, 5] 0 2 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1785 - mask := 6755688579596314 - certificate := .k4 0 [0, 4, 6, 3] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2041 - mask := 41658588620571648 - certificate := .k4 1 [1, 2, 4, 6] 1 2 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2297 - mask := 5372795191126130688 - certificate := .k4 3 [3, 7, 6, 4] 1 3 4 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨249, 83889422, .k4 0 [0, 1, 3] 0 1 2 3⟩, + ⟨761, 7035045929929408512, .k4 5 [5, 7, 6] 0 5 6 7⟩, + ⟨1529, 27488347553820, .k4 0 [0, 2, 3, 5] 0 2 4 5⟩, + ⟨1785, 6755688579596314, .k4 0 [0, 4, 6, 3] 0 1 3 4⟩, + ⟨2297, 5372795191126130688, .k4 3 [3, 7, 6, 4] 1 3 4 7⟩ ], [ - { origin := 250 - mask := 100666638 - certificate := .k4 0 [0, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 762 - mask := 7061716783484428288 - certificate := .k4 1 [1, 5, 7] 1 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1018 - mask := 1761417629950976 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1274 - mask := 10770815910028288 - certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1786 - mask := 6755692924895260 - certificate := .k4 0 [0, 3, 6, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2042 - mask := 41658850617655316 - certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2554 - mask := 9896211456262 - certificate := .k4 0 [0, 1, 2, 3, 5] 0 1 2 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2810 - mask := 26535130040602 - certificate := .k4 0 [0, 1, 3, 5, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 3578 - mask := 10221481002951680 - certificate := .k4 1 [1, 2, 6, 5, 4] 1 4 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4090 - mask := 1441178460777086976 - certificate := .k4 2 [2, 4, 7, 5, 3] 2 3 4 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5114 - mask := 5066875998912798 - certificate := .k4 0 [0, 1, 2, 6, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5626 - mask := 14074028014839058 - certificate := .k4 0 [0, 1, 4, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5882 - mask := 11008556016670 - certificate := .k4 0 [0, 3, 4, 5, 1, 2] 0 1 2 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 7418 - mask := 2882446700193590286 - certificate := .k4 0 [0, 2, 3, 7, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8442 - mask := 13583645906316318 - certificate := .k4 0 [0, 3, 4, 6, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 10746 - mask := 5809716641126755358 - certificate := .k4 0 [0, 2, 4, 7, 6, 5, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨250, 100666638, .k4 0 [0, 1, 3] 0 1 2 3⟩, + ⟨762, 7061716783484428288, .k4 1 [1, 5, 7] 1 5 6 7⟩, + ⟨1018, 1761417629950976, .k4 1 [1, 2, 5, 6] 1 2 5 6⟩, + ⟨1274, 10770815910028288, .k4 1 [1, 2, 6, 5] 1 2 5 6⟩, + ⟨1786, 6755692924895260, .k4 0 [0, 3, 6, 4] 0 2 3 4⟩, + ⟨2042, 41658850617655316, .k4 0 [0, 2, 4, 6] 2 4 6 7⟩, + ⟨2554, 9896211456262, .k4 0 [0, 1, 2, 3, 5] 0 1 2 5⟩, + ⟨2810, 26535130040602, .k4 0 [0, 1, 3, 5, 4] 0 1 3 4⟩, + ⟨3578, 10221481002951680, .k4 1 [1, 2, 6, 5, 4] 1 4 5 6⟩, + ⟨5882, 11008556016670, .k4 0 [0, 3, 4, 5, 1, 2] 0 1 2 4⟩, + ⟨7418, 2882446700193590286, .k4 0 [0, 2, 3, 7, 5, 1] 0 1 2 3⟩, + ⟨8442, 13583645906316318, .k4 0 [0, 3, 4, 6, 5, 1] 0 1 2 3⟩, + ⟨10746, 5809716641126755358, .k4 0 [0, 2, 4, 7, 6, 5, 1] 0 1 2 3⟩ ], [ - { origin := 251 - mask := 101384206 - certificate := .k4 0 [0, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 763 - mask := 7071214364925157376 - certificate := .k4 1 [1, 6, 7] 1 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1019 - mask := 1761417634014208 - certificate := .k4 1 [1, 5, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1531 - mask := 27488663699484 - certificate := .k4 0 [0, 2, 3, 5] 0 3 4 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2043 - mask := 41658867796475924 - certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5115 - mask := 5066875999895838 - certificate := .k4 0 [0, 1, 6, 4, 2] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6907 - mask := 10696050746731786 - certificate := .k4 0 [0, 1, 3, 2, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨251, 101384206, .k4 0 [0, 2, 3] 0 1 2 3⟩, + ⟨763, 7071214364925157376, .k4 1 [1, 6, 7] 1 5 6 7⟩, + ⟨1019, 1761417634014208, .k4 1 [1, 5, 6, 2] 1 2 5 6⟩, + ⟨1531, 27488663699484, .k4 0 [0, 2, 3, 5] 0 3 4 5⟩, + ⟨2043, 41658867796475924, .k4 0 [0, 2, 4, 6] 2 4 6 7⟩, + ⟨5115, 5066875999895838, .k4 0 [0, 1, 6, 4, 2] 0 2 3 4⟩, + ⟨6907, 10696050746731786, .k4 0 [0, 1, 3, 2, 6] 1 3 5 6⟩ ], [ - { origin := 252 - mask := 117441806 - certificate := .k4 0 [0, 1, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 508 - mask := 10696049117258752 - certificate := .k4 1 [1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 764 - mask := 7205834170598162432 - certificate := .k4 2 [2, 5, 7] 2 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1020 - mask := 1761417634128896 - certificate := .k4 1 [1, 2, 5, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1276 - mask := 11269995292026880 - certificate := .k4 1 [1, 3, 5, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1788 - mask := 6755718392709146 - certificate := .k4 0 [0, 3, 6, 4] 0 1 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2044 - mask := 41659125491367956 - certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2300 - mask := 5512968896103105536 - certificate := .k4 1 [1, 6, 7, 3] 1 2 3 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6652 - mask := 6768896143654912 - certificate := .k4 2 [2, 5, 3, 6, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8188 - mask := 9658299117551902 - certificate := .k4 0 [0, 1, 2, 6, 5, 4] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8700 - mask := 3458980572154717458 - certificate := .k4 0 [0, 1, 4, 2, 7, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) } + ⟨252, 117441806, .k4 0 [0, 1, 3] 0 1 2 3⟩, + ⟨508, 10696049117258752, .k4 1 [1, 2, 6] 1 2 5 6⟩, + ⟨764, 7205834170598162432, .k4 2 [2, 5, 7] 2 5 6 7⟩, + ⟨1020, 1761417634128896, .k4 1 [1, 2, 5, 6] 1 2 5 6⟩, + ⟨1276, 11269995292026880, .k4 1 [1, 3, 5, 6] 1 3 5 6⟩, + ⟨1788, 6755718392709146, .k4 0 [0, 3, 6, 4] 0 1 3 4⟩, + ⟨2044, 41659125491367956, .k4 0 [0, 2, 4, 6] 2 4 6 7⟩, + ⟨6652, 6768896143654912, .k4 2 [2, 5, 3, 6, 4] 1 2 3 4⟩, + ⟨8188, 9658299117551902, .k4 0 [0, 1, 2, 6, 5, 4] 0 2 3 4⟩, + ⟨8700, 3458980572154717458, .k4 0 [0, 1, 4, 2, 7, 5] 1 2 5 6⟩ ], [ - { origin := 253 - mask := 117443598 - certificate := .k4 0 [0, 3, 1] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 509 - mask := 10696049121321984 - certificate := .k4 1 [1, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2045 - mask := 41659142670188564 - certificate := .k4 0 [0, 2, 4, 6] 2 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 6653 - mask := 6768913122721792 - certificate := .k4 2 [2, 5, 3, 6, 4] 1 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 8445 - mask := 13583658708905230 - certificate := .k4 0 [0, 1, 5, 6, 4, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨253, 117443598, .k4 0 [0, 3, 1] 0 1 2 3⟩, + ⟨509, 10696049121321984, .k4 1 [1, 6, 2] 1 2 5 6⟩, + ⟨2045, 41659142670188564, .k4 0 [0, 2, 4, 6] 2 4 6 7⟩, + ⟨6653, 6768913122721792, .k4 2 [2, 5, 3, 6, 4] 1 2 3 4⟩, ], [ - { origin := 254 - mask := 117637134 - certificate := .k4 0 [0, 2, 3] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 510 - mask := 10696049121436672 - certificate := .k4 1 [1, 2, 6] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 766 - mask := 7494068948539801600 - certificate := .k4 3 [3, 5, 7] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1022 - mask := 1763616653206528 - certificate := .k4 1 [1, 2, 6, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1534 - mask := 27629524625690 - certificate := .k4 0 [0, 1, 4, 5] 0 1 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2046 - mask := 42784754017239064 - certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 4094 - mask := 1445937797188878356 - certificate := .k4 0 [0, 2, 7, 4, 6] 0 2 4 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 11006 - mask := 6955968109859048718 - certificate := .k4 0 [0, 1, 3, 6, 7, 5, 4, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) } + ⟨254, 117637134, .k4 0 [0, 2, 3] 0 1 2 3⟩, + ⟨510, 10696049121436672, .k4 1 [1, 2, 6] 1 2 5 6⟩, + ⟨766, 7494068948539801600, .k4 3 [3, 5, 7] 3 5 6 7⟩, + ⟨1022, 1763616653206528, .k4 1 [1, 2, 6, 5] 1 2 5 6⟩, + ⟨2046, 42784754017239064, .k4 0 [0, 3, 4, 6] 3 4 6 7⟩, + ⟨4094, 1445937797188878356, .k4 0 [0, 2, 7, 4, 6] 0 2 4 6⟩, ], [ - { origin := 255 - mask := 118095886 - certificate := .k4 0 [0, 3, 2] 0 1 2 3 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 511 - mask := 10696049121452032 - certificate := .k4 1 [1, 6, 2] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 767 - mask := 7505248782771027968 - certificate := .k4 3 [3, 6, 7] 3 5 6 7 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1023 - mask := 1763616657269760 - certificate := .k4 1 [1, 6, 2, 5] 1 2 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1279 - mask := 11269995828895744 - certificate := .k4 1 [1, 5, 3, 6] 1 3 5 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1535 - mask := 27629527302172 - certificate := .k4 0 [0, 2, 4, 5] 0 2 3 5 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1791 - mask := 6755731294388252 - certificate := .k4 0 [0, 4, 6, 3] 0 2 3 4 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 2047 - mask := 42784788108541976 - certificate := .k4 0 [0, 3, 4, 6] 3 4 6 7 - valid := Certificate.valid_of_validB (by decide) } + ⟨255, 118095886, .k4 0 [0, 3, 2] 0 1 2 3⟩, + ⟨511, 10696049121452032, .k4 1 [1, 6, 2] 1 2 5 6⟩, + ⟨1279, 11269995828895744, .k4 1 [1, 5, 3, 6] 1 3 5 6⟩, + ⟨1791, 6755731294388252, .k4 0 [0, 4, 6, 3] 0 2 3 4⟩, + ⟨2047, 42784788108541976, .k4 0 [0, 3, 4, 6] 3 4 6 7⟩ ] ] /-- Generated exact-table entries for this hash-bucket group. -/ def hardBuckets31 : Array (List HardEntry) := #[ [ - { origin := 760 - code := 4149444092129076510 - certificate := .residual 1253507433520946 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1016 - code := 6459803068812979230 - certificate := .residual 809648111079360 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1272 - code := 6166509996778613790 - certificate := .residual 3916658220028288 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5368 - code := 5599269331305488670 - certificate := .residual 4410712632558850 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5624 - code := 3290611142553166110 - certificate := .residual 3361797830289929 - valid := Certificate.valid_of_validB (by decide) } + ⟨760, 4149444092129076510, .residual 1253507433520946⟩, + ⟨1016, 6459803068812979230, .residual 809648111079360⟩, + ⟨1272, 6166509996778613790, .residual 3916658220028288⟩, + ⟨5368, 5599269331305488670, .residual 4410712632558850⟩, + ⟨5624, 3290611142553166110, .residual 3361797830289929⟩ ], [ - { origin := 761 - code := 7654379448547042590 - certificate := .residual 3746484032924304 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1017 - code := 4158165829014481950 - certificate := .residual 809649993797568 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1273 - code := 6164258179986385950 - certificate := .residual 2317466015335520 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5369 - code := 6453032276488085790 - certificate := .residual 952245289309104 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5625 - code := 7794492519778279710 - certificate := .residual 261950678876656 - valid := Certificate.valid_of_validB (by decide) } + ⟨761, 7654379448547042590, .residual 3746484032924304⟩, + ⟨1017, 4158165829014481950, .residual 809649993797568⟩, + ⟨1273, 6164258179986385950, .residual 2317466015335520⟩, + ⟨5369, 6453032276488085790, .residual 952245289309104⟩, + ⟨5625, 7794492519778279710, .residual 261950678876656⟩ ], [ - { origin := 762 - code := 3140515171461653790 - certificate := .residual 711911373568977 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1018 - code := 5420581203999943710 - certificate := .residual 3271614728478994 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1274 - code := 6163132297259412510 - certificate := .residual 3581804281346598 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5370 - code := 8398467607022526750 - certificate := .residual 3918131393955074 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5626 - code := 3294477184635429150 - certificate := .residual 3301172189950210 - valid := Certificate.valid_of_validB (by decide) } + ⟨762, 3140515171461653790, .residual 711911373568977⟩, + ⟨1018, 5420581203999943710, .residual 3271614728478994⟩, + ⟨1274, 6163132297259412510, .residual 3581804281346598⟩, + ⟨5370, 8398467607022526750, .residual 3918131393955074⟩, + ⟨5626, 3294477184635429150, .residual 3301172189950210⟩ ], [ - { origin := 763 - code := 8659233020960728350 - certificate := .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 3 6 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1019 - code := 3145018745552071710 - certificate := .residual 3764195941392658 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1275 - code := 5420594007302630430 - certificate := .residual 3794715475545351 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5371 - code := 5591718573949313310 - certificate := .residual 952243380900784 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5627 - code := 4149308025956655390 - certificate := .residual 3035328084166343 - valid := Certificate.valid_of_validB (by decide) } + ⟨763, 8659233020960728350, .hubPentagon 0 [0, 1, 3, 4, 2, 5, 6, 7] 0 1 2 4 3 6⟩, + ⟨1019, 3145018745552071710, .residual 3764195941392658⟩, + ⟨1275, 5420594007302630430, .residual 3794715475545351⟩, + ⟨5371, 5591718573949313310, .residual 952243380900784⟩, + ⟨5627, 4149308025956655390, .residual 3035328084166343⟩ ], [ - { origin := 764 - code := 7678023588938016030 - certificate := .residual 4409615268393217 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1020 - code := 8190590077489474590 - certificate := .residual 3300119923025414 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1276 - code := 3714161023375272990 - certificate := .residual 2317466015335521 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5372 - code := 6164801900303212830 - certificate := .residual 4408547969025545 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5628 - code := 3862203549711786270 - certificate := .residual 2745870245105234 - valid := Certificate.valid_of_validB (by decide) } + ⟨764, 7678023588938016030, .residual 4409615268393217⟩, + ⟨1020, 8190590077489474590, .residual 3300119923025414⟩, + ⟨1276, 3714161023375272990, .residual 2317466015335521⟩, + ⟨5372, 6164801900303212830, .residual 4408547969025545⟩, + ⟨5628, 3862203549711786270, .residual 2745870245105234⟩ ], [ - { origin := 765 - code := 5446484326750905630 - certificate := .residual 113169553246065 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1021 - code := 8192689607827614750 - certificate := .residual 1338878243561043 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1277 - code := 5420526103869680670 - certificate := .residual 347261441049714 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5373 - code := 5590592947813474590 - certificate := .residual 4408547969025544 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5629 - code := 4147065022235992350 - certificate := .residual 1549726265671250 - valid := Certificate.valid_of_validB (by decide) } + ⟨765, 5446484326750905630, .residual 113169553246065⟩, + ⟨1021, 8192689607827614750, .residual 1338878243561043⟩, + ⟨1277, 5420526103869680670, .residual 347261441049714⟩, + ⟨5373, 5590592947813474590, .residual 4408547969025544⟩, + ⟨5629, 4147065022235992350, .residual 1549726265671250⟩ ], [ - { origin := 766 - code := 3138398451255502110 - certificate := .residual 596611038423010 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1022 - code := 8189173906731002910 - certificate := .residual 307643554354419 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1278 - code := 3871005833376721950 - certificate := .residual 3362504352289152 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5374 - code := 6173458492787646750 - certificate := .residual 208057789389296 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5630 - code := 3285751593501384990 - certificate := .residual 3302419878086796 - valid := Certificate.valid_of_validB (by decide) } + ⟨766, 3138398451255502110, .residual 596611038423010⟩, + ⟨1022, 8189173906731002910, .residual 307643554354419⟩, + ⟨1278, 3871005833376721950, .residual 3362504352289152⟩, + ⟨5374, 6173458492787646750, .residual 208057789389296⟩, + ⟨5630, 3285751593501384990, .residual 3302419878086796⟩ ], [ - { origin := 767 - code := 3138395165605520670 - certificate := .residual 4410727664945285 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1023 - code := 8192832944308055070 - certificate := .residual 3792701135939078 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 1279 - code := 3870997020305157150 - certificate := .residual 2317586278089824 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5375 - code := 6164801626499047710 - certificate := .residual 3915966730421768 - valid := Certificate.valid_of_validB (by decide) }, - { origin := 5631 - code := 3284630091641053470 - certificate := .residual 2042476604154450 - valid := Certificate.valid_of_validB (by decide) } + ⟨767, 3138395165605520670, .residual 4410727664945285⟩, + ⟨1023, 8192832944308055070, .residual 3792701135939078⟩, + ⟨1279, 3870997020305157150, .residual 2317586278089824⟩, + ⟨5375, 6164801626499047710, .residual 3915966730421768⟩, + ⟨5631, 3284630091641053470, .residual 2042476604154450⟩ ] ] diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean b/LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean index 057400f29..c740f967a 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageDataTypes.lean @@ -18,8 +18,6 @@ structure PatternEntry where mask : UInt64 /-- The obstruction witness attached to the mask. -/ certificate : PrefixCertificate - /-- Kernel-checked validity of the witness on the decoded mask. -/ - valid : certificate.toCertificate.Valid (packedIncidence mask) /-- An exact complete table paired with its checked witness. -/ structure HardEntry where @@ -29,8 +27,6 @@ structure HardEntry where code : UInt64 /-- The obstruction witness attached to the exact table. -/ certificate : Certificate - /-- Kernel-checked validity of the witness on the decoded table. -/ - valid : certificate.Valid (packedIncidence code) /-- Validate a pattern witness against precisely its required incidences. -/ def PatternEntry.validB (entry : PatternEntry) : Bool := diff --git a/LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean b/LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean index 8bc594fcc..57ebf7773 100644 --- a/LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean +++ b/LeanPool/Erdos97ConvexOctagon/CoverageFormula.lean @@ -105,8 +105,14 @@ def BaseClauseTag.Valid : BaseClauseTag → Prop .columnAtMost _ subset | .columnAtLeast _ subset => subset.Nodup ∧ subset.length = 5 | .pairSparse a b centres => a ≠ b ∧ centres.Nodup ∧ centres.length = 3 - | .pattern origin => (patternEntry origin).isSome = true - | .hard origin => (hardEntry origin).isSome = true + | .pattern origin => + match patternEntry origin with + | some entry => entry.validB = true + | none => False + | .hard origin => + match hardEntry origin with + | some entry => entry.validB = true + | none => False | _ => True /-- Structural and lookup conditions needed for any tag to be meaningful. -/ @@ -120,17 +126,30 @@ def ClauseTag.BranchValid (Q : OctagonIncidence) : ClauseTag → Prop | .branchTwo target selected => selected = true ↔ target ∈ Q.targets 2 | _ => True -instance (tag : BaseClauseTag) : Decidable tag.Valid := by - cases tag <;> simp only [BaseClauseTag.Valid] <;> infer_instance - -instance (tag : ClauseTag) : Decidable tag.Valid := by - cases tag <;> simp only [ClauseTag.Valid] <;> infer_instance - /-- Boolean checker for the structural validity of a semantic clause tag. -/ -def ClauseTag.validB (tag : ClauseTag) : Bool := decide tag.Valid +def ClauseTag.validB : ClauseTag → Bool + | .base (.rowAtMost _ subset) | .base (.rowAtLeast _ subset) | + .base (.columnAtMost _ subset) | .base (.columnAtLeast _ subset) => + decide (subset.Nodup ∧ subset.length = 5) + | .base (.pairSparse a b centres) => + decide (a ≠ b ∧ centres.Nodup ∧ centres.length = 3) + | .base (.pattern origin) => match patternEntry origin with + | some entry => entry.validB + | none => false + | .base (.hard origin) => match hardEntry origin with + | some entry => entry.validB + | none => false + | _ => true theorem ClauseTag.valid_of_validB {tag : ClauseTag} (h : tag.validB = true) : tag.Valid := - of_decide_eq_true h + by + cases tag with + | base tag => + cases tag <;> simp only [ClauseTag.validB, ClauseTag.Valid, + BaseClauseTag.Valid, decide_eq_true_eq] at h ⊢ + all_goals try exact h + all_goals split <;> simp_all + | branchOne | branchTwo => trivial private def branchStart : ℕ := 20659 private def branchEnd : ℕ := branchStart + 16 @@ -387,6 +406,9 @@ theorem BaseClauseTag.satisfies cases hfind : patternEntry origin with | none => simp [hfind] at hvalid | some entry => + have hentryValid : entry.certificate.toCertificate.Valid + (packedIncidence entry.mask) := + PatternEntry.valid_of_validB (by simpa only [hfind] using hvalid) have hmask : patternMask origin = entry.mask := by simp [patternMask, hfind] apply satisfies_of_not_all_neg intro hall @@ -404,12 +426,14 @@ theorem BaseClauseTag.satisfies · simpa [packedSelectsB] using (mem_packedIncidence entry.mask centre target).mp hselected exact Certificate.not_convex_realises entry.certificate.toCertificate - (entry.certificate.valid_mono hextends entry.valid) hC hR + (entry.certificate.valid_mono hextends hentryValid) hC hR | hard origin => simp only [BaseClauseTag.Valid] at hvalid cases hfind : hardEntry origin with | none => simp [hfind] at hvalid | some entry => + have hentryValid : entry.certificate.Valid (packedIncidence entry.code) := + HardEntry.valid_of_validB (by simpa only [hfind] using hvalid) have hcode : hardCode origin = entry.code := by simp [hardCode, hfind] apply satisfies_of_not_all_neg intro hall @@ -444,7 +468,7 @@ theorem BaseClauseTag.satisfies · simp [hbit] have hcertificate : entry.certificate.Valid Q.targets := by rw [htargets] - exact entry.valid + exact hentryValid exact Certificate.not_convex_realises entry.certificate hcertificate hC hR /-- Every audited shared or branch clause is satisfied by the incidence table. -/ diff --git a/LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean b/LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean index aca6e2972..e5f07b47f 100644 --- a/LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean +++ b/LeanPool/Erdos97ConvexOctagon/LRAT/Elab.lean @@ -43,12 +43,6 @@ private structure GlobalClause where expression : Expr proof : Expr -/-- A referenced clause represented by a local proof variable. -/ -private structure LocalClause where - literals : Array Int - expression : Expr - binderDepth : ℕ - private def buildClause (literals : Array Int) : Expr := let literalType := mkConst ``Literal let empty := mkApp (mkConst ``List.nil [0]) literalType @@ -62,31 +56,13 @@ private def buildProofStep (database : HashMap ℕ GlobalClause) (newLiterals : Array Int) (antecedents : Array ℕ) (context clause : Expr) : Except String Expr := Id.run do - let mut binderTypes := #[] - let mut proofArguments := #[] - let mut localDatabase : HashMap ℕ LocalClause := {} - for identifier in antecedents do - let some referenced := database[identifier]? - | return .error s!"missing antecedent clause {identifier}" - unless localDatabase.contains identifier do - binderTypes := binderTypes.push - (mkApp2 (mkConst ``Formula.Proves) context referenced.expression) - proofArguments := proofArguments.push referenced.proof - localDatabase := localDatabase.insert identifier { - literals := referenced.literals - expression := referenced.expression - binderDepth := proofArguments.size - } - let argumentCount := proofArguments.size let mut finish := - (mkAppN · proofArguments) ∘ - binderTypes.foldr (mkLambda `clause default) ∘ mkLambda `valuation default (mkConst ``Valuation) ∘ mkLambda `satisfies default (mkApp2 (mkConst ``Valuation.SatisfiesFormula) (mkBVar 0) context) let valuation depth := mkBVar (depth + 1) let satisfies depth := mkBVar depth - binderTypes := #[] + let mut binderTypes := #[] let mut remainingClause := clause let mut depth := 0 let mut literalContext : HashMap Int ℕ := {} @@ -100,8 +76,8 @@ private def buildProofStep literalContext := literalContext.insert literal depth finish := finish ∘ binderTypes.foldr (mkLambda `falsified default) for identifier in antecedents do - let some referenced := localDatabase[identifier]? - | return .error s!"missing local antecedent clause {identifier}" + let some referenced := database[identifier]? + | return .error s!"missing antecedent clause {identifier}" let mut unitLiteral : Option Int := none for literal in referenced.literals do unless literalContext.contains literal do @@ -109,10 +85,8 @@ private def buildProofStep return .error s!"antecedent {identifier} is not unit" depth := depth + 1 unitLiteral := some literal - let proofVariable := - mkBVar (depth + argumentCount + 2 - referenced.binderDepth) let mut refutation := - mkApp2 proofVariable (valuation depth) (satisfies depth) + mkApp2 referenced.proof (valuation depth) (satisfies depth) for literal in referenced.literals do let binderIndex := match literalContext[literal]? with @@ -222,9 +196,7 @@ private def masterBaseReferences : Array ℕ := RawIncidence.masterReferences.toArray private def masterExcludedMasks : Array ℕ := - ((List.range 256).filter fun mask => - decide (RawIncidence.packedRow (UInt64.ofNat mask) ∉ - RawIncidence.canonicalRows)).toArray + RawIncidence.masterExcludedRowMasks.toArray private def certificateProofType (clause : Expr) : Expr := mkApp2 (mkConst ``Formula.Proves) @@ -233,6 +205,9 @@ private def certificateProofType (clause : Expr) : Expr := private def certificateClauseName (baseName : Name) (identifier : ℕ) : Name := Name.str baseName s!"_c{identifier}" +private def certificateInitialClauseName (baseName : Name) (identifier : ℕ) : Name := + Name.str baseName s!"_i{identifier}" + private def requireTheoremWithType (name : Name) (expectedType : Expr) : MetaM Unit := do let information ← getConstInfo name @@ -256,9 +231,9 @@ private def checkedSourceProof (proof clause : Expr) : MetaM Expr := do private def checkSourceMetadata (clauses : Array (Array Int)) : Except String Unit := do - unless masterBaseReferences.size = 6333 do + unless masterBaseReferences.size = 3224 do throw "master reference count does not match its committed source metadata" - unless masterExcludedMasks.size = 249 do + unless masterExcludedMasks.size = 39 do throw "excluded-row count does not match its committed source metadata" unless masterBaseReferences.size + masterExcludedMasks.size = clauses.size do throw "source metadata does not partition the master formula" @@ -312,8 +287,25 @@ private def neededStageClauses importedIdentifiers := importedIdentifiers.push antecedent pure (initialIdentifiers, importedIdentifiers) +private def cacheInitialClauseProof + (clause proof : Expr) (clausePrefix : Name) (identifier : ℕ) : + MetaM Expr := do + let theoremName := certificateInitialClauseName clausePrefix identifier + let theoremType := certificateProofType clause + if (← getEnv).contains theoremName then + requireTheoremWithType theoremName theoremType + else + addDecl <| Declaration.thmDecl { + name := theoremName + levelParams := [] + type := theoremType + value := ← checkedSourceProof proof clause + } + pure <| mkConst theoremName + private def sourceInitialClause - (clauses : Array (Array Int)) (identifier : ℕ) : MetaM GlobalClause := do + (clauses : Array (Array Int)) (clausePrefix : Name) (identifier : ℕ) : + MetaM GlobalClause := do if identifier = 0 ∨ clauses.size < identifier then throwError "initial certificate clause identifier is out of range" let index := identifier - 1 @@ -324,34 +316,36 @@ private def sourceInitialClause let some reference := masterBaseReferences[index]? | throwError "master reference index is out of range" let tag := RawIncidence.tagOfRef 0 0 reference - unless reference < 20659 ∧ tag.validB do + unless reference < 20659 ∧ + RawIncidence.masterReferenceUsedB reference ∧ tag.validB do throwError "master reference metadata is not valid and in range" unless clauseLiterals tag.toClause == literals do throwError "master reference clause does not match the certificate formula order" let proof := mkAppN (mkConst ``RawIncidence.masterBaseClause_proves) - #[mkRawNatLit reference, truthProof, truthProof, clause, + #[mkRawNatLit reference, truthProof, truthProof, truthProof, clause, clauseReflexivity clause] pure { literals expression := clause - proof := ← checkedSourceProof proof clause + proof := ← cacheInitialClauseProof clause proof clausePrefix identifier } else let maskIndex := index - masterBaseReferences.size let some mask := masterExcludedMasks[maskIndex]? | throwError "excluded-row mask index is out of range" let row := RawIncidence.packedRow (UInt64.ofNat mask) - unless mask < 256 ∧ decide (row ∉ RawIncidence.canonicalRows) do + unless mask < 256 ∧ RawIncidence.masterExcludedMaskUsedB mask ∧ + decide (row ∉ RawIncidence.canonicalRows) do throwError "excluded-row metadata is not noncanonical and in range" unless clauseLiterals (RawIncidence.rowExclusionClause row) == literals do throwError "excluded-row clause does not match the certificate formula order" let proof := mkAppN (mkConst ``RawIncidence.canonicalRowClause_proves) - #[mkRawNatLit mask, truthProof, truthProof, clause, + #[mkRawNatLit mask, truthProof, truthProof, truthProof, clause, clauseReflexivity clause] pure { literals expression := clause - proof := ← checkedSourceProof proof clause + proof := ← cacheInitialClauseProof clause proof clausePrefix identifier } private def importedAdditionClause @@ -393,7 +387,7 @@ private def reconstructStage let mut database : HashMap ℕ GlobalClause := {} for identifier in initialIdentifiers do database := database.insert identifier - (← sourceInitialClause clauses identifier) + (← sourceInitialClause clauses clausePrefix identifier) for identifier in importedIdentifiers do database := database.insert identifier (← importedAdditionClause additions indices clausePrefix identifier) @@ -418,7 +412,7 @@ private def reconstructStage value := proof } addDocStringCore finalTheorem - "Unsatisfiability of the 6,582-clause master coverage formula." + "Unsatisfiability of the 3,263-clause master coverage formula." derivedEmpty := true else let theoremName := certificateClauseName clausePrefix addition.identifier diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean index 1d86bb39a..f8474a238 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificate.lean @@ -4,6 +4,6 @@ Released under Apache 2.0 license as described in the file LICENSE. Authors: Egor Lyfar -/ -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage15 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage02 /-! # Kernel-checked master coverage certificate -/ diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean index a18ab71bd..adde065a0 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 0. -/ def masterCertificatePart0 : List String := [ - "AQQQFBYYArUztTIBBBAUFhoCtjO0MgEEEBQWHAK3M7MyAQQQFBYeArgzsjIBBBAUGBoCuTOxMgEEEBQYHAK6M7Ay", - "AQQQFBgeArszrzIBBBAUGhwCvDOuMgEEEBQaHgK9M60yAQQQFBweAr4zrDIBBBAWGBoCvzOrMgEEEBYYHALAM6oy", - "AQQQFhgeAsEzqTIBBBAWGhwCwjOoMgEEEBYaHgLDM6cyAQQQFhweAsQzpjIBBBAYGhwCxTOlMgIEEBgcHgLHM6My", - "AgQUFhgaAskzgzIBBBQWGBwCyjOCMgEEFBYYHgLLM4EyAQQUFhocAswzgDIBBBQWGh4CzTP/MQEEFBYcHgLOM/4x", - "AQQUGBocAs8z/TEBBBQYGh4C0DP8MQEEFBgcHgLRM/sxAgQWGBocAtMz+TEBBBYYGh4C1DP4MQEEFhgcHgLVM/cx", - "AQQWGhweAtYz9jEBBBgaHB4C1zP1MQEEICImKALXM+gxAQQgIiYqAtgz5zEBBCAiJiwC2TPmMQEEICImLgLaM+Ux", - "AQQgIigqAtsz5DEBBCAiKCwC3DPjMQEEICIoLgLdM+IxAQQgIiosAt4z4TEBBCAiKi4C3zPgMQEEICIsLgLgM98x", - "AQQgJigqAuEzyjEBBCAmKCwC4jPJMQEEICYoLgLjM8gxAQQgJiosAuQzxzEBBCAmKi4C5TPGMQEEICYsLgLmM8Ux", - "AQQgKCosAuczxDEBBCAoKi4C6DPDMQEEICgsLgLpM8IxAgQiJigqAusztjEBBCImKCwC7DO1MQEEIiYoLgLtM7Qx", - "AQQiJiosAu4zszEBBCImKi4C7zOyMQEEIiYsLgLwM7ExAQQiKCosAvEzsDEBBCIoKi4C8jOvMQEEIigsLgLzM64x", - "AQQiKiwuAvQzrTEBBCYoKiwC9TOiMQEEJigqLgL2M6ExAQQmKCwuAvczoDEBBCYqLC4C+DOfMQEEKCosLgL5M54x", - "AQQwMjQ4AvkzmzEBBDAyNDoC+jOaMQEEMDI0PAL7M5kxAQQwMjQ+AvwzmDEBBDAyODoC/TOLMQEEMDI4PAL+M4ox", - "AQQwMjg+Av8ziTEBBDAyOjwCgDSIMQEEMDI6PgKBNIcxAQQwMjw+AoI0hjEBBDA0ODoCgzT9MAEEMDQ4PAKENPww", - "AQQwNDg+AoU0+zABBDA0OjwChjT6MAEEMDQ6PgKHNPkwAQQwNDw+Aog0+DABBDA4OjwCiTTvMAEEMDg6PgKKNO4w", - "AQQwODw+Aos07TACBDI0ODoCjTTpMAEEMjQ4PAKONOgwAQQyNDg+Ao805zABBDI0OjwCkDTmMAEEMjQ6PgKRNOUw", - "AQQyNDw+ApI05DABBDI4OjwCkzTbMAEEMjg6PgKUNNowAQQyODw+ApU02TABBDI6PD4CljTYMAEENDg6PAKXNNUw", - "AQQ0ODo+Apg01DABBDQ4PD4CmTTTMAEENDo8PgKaNNIwAQQ4Ojw+Aps0zzABBEBCREYCmzTOMAEEQEJESgKcNMcw", - "AQRAQkRMAp00xjABBEBCRE4CnjTFMAEEQEJGSgKfNL4wAQRAQkZMAqA0vTABBEBCRk4CoTS8MAEEQEJKTAKiNLUw", - "AQRAQkpOAqM0tDABBEBCTE4CpDSzMAEEQERGSgKlNLAwAQRAREZMAqY0rzABBEBERk4CpzSuMAEEQERKTAKoNKcw", - "AQRAREpOAqk0pjABBEBETE4CqjSlMAEEQEZKTAKrNKIwAQRARkpOAqw0oTABBEBGTE4CrTSgMAIEQkRGSgKvNJww", - "AQRCREZMArA0mzABBEJERk4CsTSaMAEEQkRKTAKyNJMwAQRCREpOArM0kjABBEJETE4CtDSRMAEEQkZKTAK1NI4w", - "AQRCRkpOArY0jTABBEJGTE4CtzSMMAEEQkpMTgK4NIkwAQRERkpMArk0iDABBERGSk4CujSHMAEEREZMTgK7NIYw", - "AQRESkxOArw0gzABBEZKTE4CvTSCMAEEUFJUVgK9NP8vAQRQUlRYAr40+i8BBFBSVFwCvzT1LwEEUFJUXgLANPQv", - "AQRQUlZYAsE08S8BBFBSVlwCwjTsLwEEUFJWXgLDNOsvAQRQUlhcAsQ06C8BBFBSWF4CxTTnLwIEUFRWWALHNOMv", - "AQRQVFZcAsg03i8BBFBUVl4CyTTdLwEEUFRYXALKNNovAQRQVFheAss02S8CBFBWWFwCzTTVLwEEUFZYXgLONNQv", - "AwRSVFZYAtE0zy8BBFJUVlwC0jTKLwEEUlRWXgLTNMkvAQRSVFhcAtQ0xi8BBFJUWF4C1TTFLwEEUlRcXgLWNMIv", - "AQRSVlhcAtc0wS8BBFJWWF4C2DTALwEEUlZcXgLZNL0vAQRSWFxeAto0vC8BBFRWWFwC2zS7LwEEVFZYXgLcNLov", - "AQRUVlxeAt00ty8BBFRYXF4C3jS2LwEEVlhcXgLfNLUvAQRgYmRmAt80sC8BBGBiZGgC4DSrLwEEYGJkagLhNKgv", - "AQRgYmRuAuI0pS8BBGBiZmgC4zSiLwEEYGJmagLkNJ8vAQRgYmZuAuU0nC8BBGBiaGoC5jSbLwEEYGJobgLnNJgv", - "AgRgZGZoAuk0lC8BBGBkZmoC6jSRLwEEYGRmbgLrNI4vAQRgZGhqAuw0jS8BBGBkaG4C7TSKLwIEYGZoagLvNIgv", - "AQRgZmhuAvA0hS8DBGJkZmgC8zSALwEEYmRmagL0NP0uAQRiZGZuAvU0+i4BBGJkaGoC9jT5LgEEYmRobgL3NPYu", - "AQRiZGpuAvg09S4BBGJmaGoC+TT0LgEEYmZobgL6NPEuAQRiZmpuAvs08C4BBGJoam4C/DTvLgEEZGZoagL9NO4u", - "AQRkZmhuAv406y4BBGRmam4C/zTqLgEEZGhqbgKANekuAQRmaGpuAoE16C4BBHBydHYCgTXhLgEEcHJ0eAKCNdwu", - "AQRwcnR6AoM12S4BBHBydHwChDXYLgEEcHJ2eAKFNdMuAQRwcnZ6AoY10C4BBHBydnwChzXPLgEEcHJ4egKINcwu", - "AQRwcnh8Aok1yy4CBHB0dngCizXFLgEEcHR2egKMNcIuAQRwdHZ8Ao01wS4BBHB0eHoCjjW+LgEEcHR4fAKPNb0u", - "AgRwdnh6ApE1uS4BBHB2eHwCkjW4LgMEcnR2eAKVNbEuAQRydHZ6ApY1ri4BBHJ0dnwClzWtLgEEcnR4egKYNaou", - "AQRydHh8Apk1qS4BBHJ0enwCmjWoLgEEcnZ4egKbNaUuAQRydnh8Apw1pC4BBHJ2enwCnTWjLgEEcnh6fAKeNaIu", - "AQR0dnh6Ap81ny4BBHR2eHwCoDWeLgEEdHZ6fAKhNZ0uAQR0eHp8AqI1nC4BBHZ4enwCozWbLgEEECAwQAKrNZou", - "AQQQIDBQAqw1mS4BBBAgMGACrTWYLgEEECAwcAKuNZcuAQQQIEBQAq81li4BBBAgQGACsDWVLgEEECBAcAKxNZQu", - "AQQQIFBgArI1ky4BBBAgUHACszWSLgEEECBgcAK0NZEuAQQQMEBQArU1kC4BBBAwQGACtjWPLgEEEDBAcAK3NY4u", - "AQQQMFBgArg1jS4BBBAwUHACuTWMLgEEEDBgcAK6NYsuAQQQQFBgArs1ii4BBBBAUHACvDWJLgEEEEBgcAK9NYgu", - "AQQQUGBwAr41hy4BBCAwQFACvzWGLgEEIDBAYALANYUuAQQgMEBwAsE1hC4BBCAwUGACwjWDLgEEIDBQcALDNYIu", - "AQQgMGBwAsQ1gS4BBCBAUGACxTWALgEEIEBQcALGNf8tAQQgQGBwAsc1/i0BBCBQYHACyDX9LQEEMEBQYALJNfwt", - "AQQwQFBwAso1+y0BBDBAYHACyzX6LQEEMFBgcALMNfktAQRAUGBwAs01+C0BBCMzQ1MCxTWmLQEEIzNDYwLGNaUt", - "AQQjM0NzAsc1pC0BBCMzU2MCyDWjLQEEIzNTcwLJNaItAQQjM2NzAso1oS0BBCNDU2MCyzWgLQEEI0NTcwLMNZ8t", - "AQQjQ2NzAs01ni0BBCNTY3MCzjWdLQEEM0NTYwLPNZwtAQQzQ1NzAtA1my0BBDNDY3MC0TWaLQIEQ1NjcwLTNZgt", - "AQQiMkJSAtw1li0BBCIyQmIC3TWVLQEEIjJCcgLeNZQtAQQiMlJiAt81ky0BBCIyUnIC4DWSLQEEIjJicgLhNZEt", - "AQQiQlJiAuI1kC0BBCJCUnIC4zWPLQEEIkJicgLkNY4tAQQiUmJyAuU1jS0BBDJCUmIC5jWMLQEEMkJScgLnNYst", - "AQQyQmJyAug1ii0BBDJSYnIC6TWJLQEEQlJicgLqNYgtAQQVNUVVAuI16CwBBBU1RWUC4zXnLAEEFTVFdQLkNeYs", - "AQQVNVVlAuU15SwBBBU1VXUC5jXkLAEEFTVldQLnNeMsAQQVRVVlAug14iwBBBVFVXUC6TXhLAEEFUVldQLqNeAs", - "AQQVVWV1Aus13ywCBDVFVXUC7TXJLAQEFDREVAL5NcQsAQQUNERkAvo1wywBBBQ0RHQC+zXCLAEEFDRUZAL8NcEs", - "AQQUNFR0Av01wCwBBBQ0ZHQC/jW/LAEEFERUZAL/Nb4sAQQURFR0AoA2vSwBBBREZHQCgTa8LAEEFFRkdAKCNrss", - "AQQ0RFRkAoM2sCwBBDREVHQChDavLAEENERkdAKFNq4sAQQ0VGR0AoY2rSwBBERUZHQChzasLAEEFydHVwL/NaIs", - 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+12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 1. -/ def masterCertificatePart1 : List String := [ - "Qa9BrkGtQaxBq0GpQahBp0GmQaVBpEGjQZgXATERFRYYGx0eICInKSstLjEyNDk7PD9AQ0VGS0xPUFNUV1hdX2Fi", - "ZWdoam9xc3R2eXp9ELNBskGxQbBBr0GuQa1BrEGqQalBqEGnQaZBpUGkQZgXATERFRYYGx0eICInKSstLjEyNDk7", - "PD9AQ0VGSk1PUVNUV1hcX2BiZWdoa29xc3R2eXp9ELRBs0GyQbFBsEGvQa5BrUGrQapBqUGoQadBpkGlQZgXATER", - "FRYYGx0eICInKSstLjAzNDk7PD9AQ0VGSk1PUVJVVllcX2FiZGdoa29xc3R3eHp9ELVBtEGzQbJBsUGwQa9BrkGs", - "QatBqkGpQahBp0GmQZgXATERFRYYGx0eICInKSstLjAzNDk7PD9AQ0VGSk1PUVJUV1hdX2FiZWZpam9xc3R3eHt8", - "ELZBtUG0QbNBskGxQbBBr0GtQaxBq0GqQalBqEGnQZgXATERFRYYGx0eICInKSstLjAzNDk7PD9AQ0VGSk1PUVJU", - "VlldX2FiZWdoam9xc3R3eHt8ELdBtkG1QbRBs0GyQbFBsEGuQa1BrEGrQapBqUGoQZgXATERFRYYGx0eICInKSst", - "LjAyNTk7PD9BQ0RGS0xPUFNUVlldX2FiZWdoam9xc3R3eHp9ELhBt0G2QbVBtEGzQbJBsUGvQa5BrUGsQatBqkGp", - "QZgXATERFRYYGx0eICInKSstLjEzNDg6PT9AQkVHSk1PUVJVVllcX2BjZGdoa29xc3R2eXt8ELlBuEG3QbZBtUG0", - "QbNBskGwQa9BrkGtQaxBq0GqQZgXATERFRYYGx0eICInKSstLjAzNTg6PT9BQkRHS0xPUVNUVllcX2BiZWZpa29x", - "c3R3eHp9ELpBuUG4QbdBtkG1QbRBs0GxQbBBr0GuQa1BrEGrQZgXATERFRYYGx0eICInKSstLjAzNTg6PT9AQ0RH", - "S0xPUVJVV1hcX2FiZGZpa29xc3R2eXp9ELtBukG5QbhBt0G2QbVBtEGyQbFBsEGvQa5BrUGsQZgXATERFRYYGx0e", - "ICInKSstLjAzNTg6PT9AQ0RHS0xPUVJUV1hdX2FiZWZpam9xc3R2eXt8ELxBu0G6QblBuEG3QbZBtUGzQbJBsUGw", - "Qa9BrkGtQZgXATERFRYYGx0eICInKSstLjAzNTg6PT9AQ0RHS0xPUVJUVlldX2FiZWdoam9xc3R2eXt8EL1BvEG7", - "QbpBuUG4QbdBtkG0QbNBskGxQbBBr0GuQZgXATERFRYYGx0eICInKSstLjAzNTg6PT9BQkRHSk1PUVJVVllcX2Bj", - "ZGZpa29xc3R3eHt8EL5BvUG8QbtBukG5QbhBt0G1QbRBs0GyQbFBsEGvQZgXATERFRYYGx0eICInKSstLjEyNDk6", - "PT9AQ0VGS0xPUFJVV1hdX2FjZGdoam9xc3R2eXt8EL9BvkG9QbxBu0G6QblBuEG2QbVBtEGzQbJBsUGwQZgXATER", - "FRYYGx0eICInKSstLjEyNDk6PT9AQ0VGSk1PUVJVV1hcX2BjZGdoa29xc3R2eXt8EMBBv0G+Qb1BvEG7QbpBuUG3", - "QbZBtUG0QbNBskGxQZgXATERFRYYGx0eICInKSstLjAzNDk6PT9AQ0VGS0xPUVJVV1hcX2FiZGZpa29xc3R3eHp9", - "EMFBwEG/Qb5BvUG8QbtBukG4QbdBtkG1QbRBs0GyQZgXATERFRYYGx0eICInKSstLjAzNDk6PT9AQ0VGS0xPUVJV", - "VllcX2FiZGdoa29xc3R3eHp9EMJBwUHAQb9BvkG9QbxBu0G5QbhBt0G2QbVBtEGzQZgXATERFRYYGx0eICInKSst", - "LjAzNDk6PT9AQ0VGS0xPUVJUV1hdX2FiZWZpam9xc3R3eHt8EMNBwkHBQcBBv0G+Qb1BvEG6QblBuEG3QbZBtUG0", - "QZgXATERFRYYGx0eICInKSstLjAyNTk6PT9BQ0RGSk1PUVJVV1hcX2BjZGZpa29xc3R3eHt8EMRBw0HCQcFBwEG/", - "Qb5BvUG7QbpBuUG4QbdBtkG1QZgXATERFRYYGx0eISMnKCosLzAyNDk7PT9AQ0VGS0xPUFJVV1hdX2FiZGdpa25x", - "c3R2eXp9EMVBxEHDQcJBwUHAQb9BvkG8QbtBukG5QbhBt0G2QZgXATERFRYYGx0eISMnKCosLzAyNDk7PT9AQkVH", - "S0xPUFNVVlhdX2FjZGZpa25xcnR3eXp9EMZBxUHEQcNBwkHBQcBBv0G9QbxBu0G6QblBuEG3QZgXATERFRYYGx0e", - "ISMnKCosLzAyNDk7PT9AQ0VGSk1PUVJUV1ldXmBiZWdoa29xc3R2eXt8EMdBxkHFQcRBw0HCQcFBwEG+Qb1BvEG7", - "QbpBuUG4QZgXATERFRYYGx0eISMnKCosLzAyNDk7PT9AQkVHSk1PUVNUVlldXmBjZWZoa29xcnR3eXt8EMhBx0HG", - "QcVBxEHDQcJBwUG/Qb5BvUG8QbtBukG5QZgXATERFRYYGx0eISMmKSosLzAzNTg7PD9AQkRHS01PUFJVVlldX2Fi", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 10. -/ -def masterCertificatePart10 : List String := [ - "DhLRD7M8gRSaEgL4OwGHJq08vT6gPNcLzwT6O4kosGTdIIEe2jaMPdkm7T+BPftVj1OyV69Y1jylQIBAqQYBBjIf", - "KDU8QAfUAh2fFwGCQIRA0lkBDlcQHycxMzU7Q0dZZGpyG9UC/DuGPoA8gTzaO4k86TuHPuAYoBcUmD+hP5Y/kj6M", - "A58HnBKmX6FstBD3Pt8gjFTwTtsmAQ87EB8hJzEzNUNHWWFjaXkZ1gL6WNs7gTyxPL48ozzEPtUCmwShF5c/1FkB", - "+j2AGvU75ViibL4/0zyRP9lW8D/xTgEMdxUfMTM1P0NHZG55CPY79ziCPIsWlD7RPN0WlFkBBTwfKDVAINgCHW+d", - "BDUhhCajF+wOF9YPuDyfEgSEPKEH4guiBwnAPKU8Avob8liZPwGPA8ZYpGy5PeIglFMBB3YfKDM1QGMq2QI2IoU8", - "cJ4EAR7BPKQH5BikF+0OGNcPogfjC/09rXG5PKAS3lmHFMU+xz6APJADlj6lbPJe4yCHHvs+xxvHWLs9mj+QVN8m", - "iz2yWdoKAQZjHygzNUAl2gKlB8I8NyOGPAIf5RilF+4OGdgPowfkC65xujyhEt9ZiBTGPsg+Afk7ijyXPoQa9V6m", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 11. -/ -def masterCertificatePart11 : List String := [ - "eAqWCM9CnSDLQuJCtGDNBr1EyyKaPQELFR8vPD9XWV9ha3cWlwgSx0GuBtwJpAHDK8NDo3jLQeEMmwbfA94X9EEB", - "xF6fCcdCz169XLJEAQcUH1dZYWt3EJgI4xzhF6UByEHAQb9B3QnEQ8xB4AOCBc9p9QTCKMQDAQc/OVdZX3d9GpkI", - "FMBB4hemAQsE3gnFK8VDzUGdBuEDgwXgF95gpwTKBAECmUKrA8cX9F7dXNpDAQcuHz5LV3d9EpoIoEKdQhXjF6cB", - "3wmBYKwDxivGQ+peyBfEYr9gykL5QsNgAQw7Hys5PVdZX2pvd30lmwgCwkHDQRbkF8tBqAHgCccrx0O8YMRgz0HQ", - "IvlCg0bJF58GhQWLYL9g+EGhLKJFz0LCRKFApkXHA/1m8UTnRPgE1AbtP70OAQsrHzk9V1lfam93fRblF6kBA8NB", - "xEHhCcgryEPQQaAG5AOGBQIBzkXYRftC7UHjW6kr40OXFQEKah85PVdZX293fQedCOIJySsBhkOAQ75gAQlvHzk9", - "V1lfd30WnggT5xerARnjCcorykPSQeYDiAUE8msBjGClIKYJ6mykLKVApEDaRQIHTx8vV1lfdxqgCIBsx0HIQRvp", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 12. -/ -def masterCertificatePart12 : List String := [ - "ZGdrb3FydHZ5e30CixOUGAYvRBAVFx0eICMmKSssLzEyNTg6PT9AQ0dKTU9RUlRXWVxfYWJlZmlrbnFzdHZ4e30C", - "kROUGAQvVhAVFx0eICMmKSotLzEyNTg7PD9BQ0RHSkxPUVJVWV1eYGJkZ2lrb3FzdHZ4e30ClROUGAEvQRAVFx0e", - "ICImKSstLzEzNDk6PT5CREdKTU9RUlVWWVxfYGNkZ2hrb3FzdXZ4e3wClhOUGAcvdRAVFx0eISInKCotLzAzNDk6", - "PT9BQ0RGS0xPUVNVVlhdXmBiZGdpa29xcnZ5e3wCnROTGAEvaxAVFx0eICMmKSotLzEyNTg6PT9BQ0RGS0xPUVNU", - "V1hdXmBiZWZpb3FydHd5e3wCnhOTGAEvTBAVFx0eISInKCssLzAzNDk6PT9BQ0VGSk9RUlRXWV1eYGJlZmlrb3Fz", - "dHZ4e30CnxOTGAEFThEVHUICoBPKNgEvShEVFh0eICInKCstLzAzNTg6PT9BQ0RHTU5RUlVWWVxfYGNkZmlrb3Fy", - "dHd5e3wCoROSGAEvOBAVFx0eISImKCstLzAzNTs8P0FDREdKTU5QU1RWWV1fYWJlZmlqb3FydHd5e3wCohOSGAEv", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 13. -/ -def masterCertificatePart13 : List String := [ - "cXkKhnbyVaoa8VWeVqFWAfJX71f4VAEJMxEVIyctRFRnE8FV8lSLNrFVqxrdK8A/61TUV9VX/Dy3VZZY3CDdIP1x", - "vD7kVbZYAQkWICMnMEZRcXkXwT9IRgu6V/RV9ymsGvNV/CMEvhLphQGSNKwzAqtWpxfgCwH0V/FX+lQBCjwqMDlB", - "UVdZX3kF+TfUOtlvnFT7VgELKhUXICMnMDlRV3kRnjT2VeJVtFWiMrJY1nbJMoRZAdpx7BPZceBZnVT8VtpvARBl", - "FTpBRVFSVF9hYmZvcXJ2B+B+sAXAWJtvnW/fWJcWAQ9kIysvUVJUX2FiZm9xcnkH5VjmWEyHcpgWu1jNbwEPQxUX", - "IycrLzM9QVFXYXF5HJBYkVj6VU33VJoSx1X5VS7uhQHlVd8d01fGVaUy1lmMeqVWpFYBAqJZ2lfTVeFYswm8WMpo", - "AQ4zFRcjJysvMEFRV2FxeRKbEshV+lUv74UB1FfZOutVx1WmMtdZAfZXi3rsVakYrgLmBgEMTiAjJzBDRUZRcXJ5", - "JE3JVRJPB/tV51XhHdVXuVWyVqZWrFanVqcyt1i1WDAFnRIB+FeBVqZyrwKpUKxXmxbVVs5WoVmhb/tWxViLccEO", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 14. -/ -def masterCertificatePart14 : List String := [ - "nVmmiwHrW/db7FupetEI+CWvXrVe6He0W+U58guJeOIEkHXyWd0MilyJGYtcwhABCmYQFyBCR1FWcXgQNeo3qjYC", - "xQGrW9kCBv9cqFsBoB+pJrodnFuVRwECHDUH3yGMRes3GKUj+lqSJAEMYhcpMUFCREdPWWBnC6Yj+DimM8FewF7k", - "d/FenVj6W+9brHoBDSkQFyAjJkJHUlZgZ3ga7TetNqcjGtwC+F35OKczyAGuWxUBhlu2Xvwl5XeYR+w19BzpOc5c", - "iXXmBMEU1RePXAEIeBAXIEJHUXEYhQLuN642rAfJAa9boQKriwEMBgSsMZ5dqDPdAgGtJsRfxV/GX5lHinXvELou", - "AQ9lECMoMTI0QkRTYGZpcXkTiVudW+83rzaXBpUewF6kXZsQjluCEaYSg12tB48OlVyYXJtc0oIBAQ1mEBcjMUFC", - "RFFTVnF5GK2LAfA3sDaYBoRdhV2BW5JbwlrAWqYfAaZdpF3GXrten1vBFPJV7yrsOZMx8163EQEMYhcpMUJHUVNY", - "YGdyCsddw13ZCP0fiVuYJLJb0RP8WqddAQwpEBcgI0JHUVNgZ3kSvFuUW/44rDM9ulvyN7I2s1sBu1u7Xu4qqQXD", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 15. -/ -def masterCertificatePart15 : List String := [ - "eRObCymgBYhigmCvHuod+WHiY+sc+iHvPgEPp2L1eaBjimPgFQEOcBEXICInKThER2hydXkL8C+jYiqiY6Fj80SX", - "Qqgp8D7NZKR6AQllFRcgKUdTVmYdBLZgFCuiBZ0Lmwf0RIRgimKHYAKPYM1g5GOqYrhg/WEBowriFetijGPwX48b", - "qSn6Y7Zh2IcBAQlBERUXJy9HdXkU8V+QG6Zi4kCnYohgt2CMYPpj+2PNYtJiowW8fYFg8j7TZO4cAaxiAQhTFRcg", - "KUdWZhS4YBYGLaQFnwuGYIxiAqtirWLvHP4hAe1i7GLkFc9h1GHgFwEPQREVFyAnKThHVWNlaG95Eu1f81+SG4pg", - "siieB9hLLv1j90SbQtQFrCn0PtFk33rLYeQTAQssFyAiJylHVVlqeRP1Pi+mBbMoqWKVYP9hgWLoHKAptWP8IrFj", - "0GHMYRgB3xfuYgEHKRUXIEdWZh67YLQoMKcF+USdQhmgB4lgA+9j82MJoguAYoJi6QKPYvULnGATAvBitREBmn2u", - "KYVhq2HWBQEKUxAVFyAnKEdmeBoxqAW1KLxg9C+4K7or+kSHY4RjwxmZYNYGmwnJHctf0GDoEheAZLCBAYwX9z6e", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 16. -/ -def masterCertificatePart16 : List String := [ - "D7NpjI0BsgPLgQHEZ8VnhWWIZes0AQJmRAqCA+ArOokDky7YRaMcH/1kAQEHKSInMERieCmDA+ErO4oDlC7ZRaQc", - "AZUKyAvuCKs7pz2bZ5Vl7jT8L6towmisaPRk9oEB4SGhZ6Nn9mX7ZdMVm0WLZchnxWfYHi/yDexJ9ocBtAOQZvMY", - "9SEBBC4iJygKhAPiKzyLA5Uu2kWlHLVptGnkIQEHMyInMERieBaFA+MrPYwDli7bRaYcvGQCA5cKygvwCAGuMOg0", - "qT22ZaNnx2cxnWIBBmIiJzBEeBaGA+QrPo0Dly7cRQSYCgHLZ81nAwLpNK0wHvVngmmBafmBAZUtvxkBB0IpMDlE", - "VVkZhwPlKz+OA5gu3UWoHPhosWUF+WazDas9mQr4ZKVnjWn5aPNjlEfwSYM8+ocBsgLrYgEFJyIwRHgfiAPmK0CP", - "A5ku3kWpHAaaCs0L8wisPQKLZYEw8zSvMPlkqGeQZQHTZ7wjr2mwadohu2iSBYRpg2m1ggEBBkEiMERieCqJA+cr", - 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197504cff..9c59c66e2 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 2. -/ def masterCertificatePart2 : List String := [ - "c3R2eXt8ELtEukS5RLhEt0S2RLVEtESyRLFEsESvRK5ErUSsRJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VG", - "S0xPUVJUV1ldXmFjZGZpam9xc3R3eHt8ELxEu0S6RLlEuES3RLZEtUSzRLJEsUSwRK9ErkStRJgXATEQFRcYGx0e", - "ISImKCstLzAyNTk6PT9AQ0VGS0xPUVNUV1hcX2FjZGZpa25xcnR3eXp9EL1EvES7RLpEuUS4RLdEtkS0RLNEskSx", - "RLBEr0SuRJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VGS0xPUVNUV1hcX2FiZGdpa25xc3R2eXp9EL5EvUS8", - "RLtEukS5RLhEt0S1RLREs0SyRLFEsESvRJgXATEQFRcYGx0eISImKCstLzAyNTk6PT9AQ0VGS0xPUVNUVllcX2Fi", - "ZGdpa25xc3R3eHp9EL9EvkS9RLxEu0S6RLlEuES2RLVEtESzRLJEsUSwRJgXATEQFRcYGx0eISImKCstLzAyNTk6", - "PT9AQ0VGS0xPUVJUV1lcX2FjZGdoa25xc3R2eXp9EMBEv0S+RL1EvES7RLpEuUS3RLZEtUS0RLNEskSxRJgXATEQ", - 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"AQtkEBUdIC0yP0RRazbAKL8ovii9KLwouyi6KLkouCi3KLYotSi0KLMosigpuAceIwqKKIkoA50iwyL6JNUiiwnW", + "J7sntyW5Jb8OkCH2A4wjjiWTJacOAbMO0STiJZwgnSeoJ8ommB2PBugm1iWFKKQjqhABCkQQFR0gLTI/UWsjwCi+", + "KL0ouSi4KLcotigfJAu5ByoEniKLKIoo+ySMCdcnvCfADpEh9wOPJQGRIJYgzyHWJdol2CXfDtsj2SOjJQEJLRAV", + "HSAyP1FrJ8Eovyi+KLsouii5KLgotyi0KCsgJQy6BwWfIsUiiyj8JNcijQnYJ70nwQ6SIfgDkCWVJQGDIrIB0yTT", + "HrgL1COhG/IggRvOJQEIIBAVHTI/UWsiwCi/KL0ouSi4KLYoISYNuwcsBqAijCj9JNknvie/DsIO+QOTIf4jkSWW", + "JQHCCO4ksCHPIo8itg7lJcAdnycBBzIQFR0/UWslwijBKMAovCi7KLoouSi8By2NKCInAQ6hItonvyf6Awf+JMAO", + "ww7oJZQh6iW3DpclzyK0IcwigCGwIrQB6SeQIrkevSUBCEoQFR0gKlFrBMAouSiIJbYFAQVOMTNETAjCKL4ovCi7", + "KJUntgGNJ/IgAQ0jEBUdICoxOD9ETFFrNMcoxijFKMQowyjCKMEowCi/KL4ovSi8KLsouii5KAMwvwcCzgO+BwGR", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean index 213b9af15..f0426765a 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 4. -/ def masterCertificatePart4 : List String := [ - "vRWLGIgYxxTrMaUZAQhTFictL0JdYiJMHCwVEAPjAbAbWbE0sDQBzRaUGcI7/xYED8QYxhgiwxYHlTedF9k0zheg", - "Pr8axBq7LugY6BrzEAEGPicvR15nA5wXnheWNwEPQBggKDA7R0tOUVldYWdpBagBpxm2Lvk+rxgBE28UFiAnKCov", - "Oz9CR1FVWV1iZ2kPmDfeFuYBTx9cjTWpBaQ0iRiCGgH1MZkWsRoBDDsUFictL0JWXWJnaSYExxbXFucBUCBdMJIa", - "ohqHGYMZ/xgxjRqqBbQ03EzKGAPdNKU0AZ4X7BlGC9w0kDWgPsowiRjEGrQa6hjYGdAWkwgBBDAzOjwD3xriGtEW", - "AQtWFBYnLS9CXWJnaRfJFgbpAVJfMpQapBqJGYUZM48atjTMGAXfNAKSGAG6FtIa8Bi6FAEFWBgoM3MDthiyGPcW", - "AQpnFBYnLS9CXWJpCNsWCCSHGYMZAdkWAgESOREUGx0jJy0vM0JHTFReYmZzDNUWYfEY8Bj0GNEPsxKvAckahRqE", - "Gq4zAQdAIDBRWWl5A68ZsBmBPwEKYRQWJy0vQl1iaSgDC+4BZFcnN44ZihmGGTi7NLEF40zYFgTQGM8Y2TfSFgKs", - 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"iCyELIMsgSydJ54njB7aKIkp7SYBEWAUFhgdHyAjKjA1OTtRY3FzG40sjCyLLIoshSyELIMsgiz6EYAS0Sn/JbkB", + "5iuEC5QHArgjAcQrqCepJ+8o8CjxIbIkpgIBCCobHSAyUVJrLo0sjCyKLIkshyyGLIUshCyDLIIsgCyFC5UHQ/cD", + "LgO8AagpnimdKZEmqwSUBLoB1RDpK+grnQ0BhSWXCq4h5CO2KZwojRLRKMUl8ir2KtUiiCnvJvYmtioBCkERHR81", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean index c044190dc..fbb988ff2 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 5. -/ def masterCertificatePart5 : List String := [ - "IAHJRIIf9xq1HrMesR7JFtc2jCABB10RFSEuMToXVAZXtgYFllOUOpNEjUSgHZ4dox3AICLqG4tE1iAB6R3rHchE", - "ykSDHwEGMREVIS46KFVXBx5YtwYGl1OVOpREoR2fHaQdnh3BIOsb3yDXIAGVAb8dyjnDQ8Eb9UzfOfof+B+1A/U8", - "sx67HJIe3xzmHucf7B+tHPYVyx4BCUoRFSErLjpdeynuHVZYCB8BB9IgzCBZuAbFIKc/5RugOslEykSYU+Aghx+F", - "CYYfoh2gHZ8djETrBMwbJJwgxjnoONs+th61Hvwfyxj1B+ce7B/EEwENQhEVGyMpKzhAS0xRUgiyIFn2GJYelR7h", - "HOAc6B4BCHsRFSErLjpdKlpYCiEDW7oGCc4g1CDHIKI6y0SaU6k/5xviIKEdoh2kHa46wDkmpz8CvkjORIofiR8B", - "3BvqQYUfyx6qIMsfzB/ENrge/h+9HMUTAQddERUhKy46FFkLBFy7BgrIIKM6m1OjHaUdJwHuHfAdzUTPRIwfih+L", - "RAEGKxEVIS46KQwjXFoFC9Ag1iDJIF28BukbpDqcU+Qgox2kHaYdKKk/AZoBxB3OG8cb5DmsP80e/x/9H/gc6x7j", - "HJcenznBHLwe7B/KOfw2tiABB1ARGzBLa3sER8hEx0SLHwEGQREVIS46GQ4lAlwH6Bv6Hf4d+x1fvgbYINIgvAYB", - "hDr8OZ5T6xukIKUdph2VOcw5vB4BDH0RFSEjLTM1PWtvewi6QawcvwasP5hE0B/RH/wHAQU6ERUhLiEQYF4PYcAG", - "oFOqHacdqB0J2iDUIO0bAgTpIIAe/R3gIPwdSptEAcAdvkG+A5c5vh68HuI2yjacHgEPaxEWISYpKzU5Oz9dX299", - "DNU8YsEG/zrTRM0G5z/sH/UfgzegFb4eAQtKERUhIysuNTlqfRf0Hfgdhh5gKcIc5z/VPNNEwgbKH9MfolOpHa8d", - "qh2hFbAV9R7kG+sb8ByzIAENRxYYJjk7P0tNT19vfQf+N4U4wR7AHpM3nzadHgEIJhEVISsuOTwiZGIrBGXEBqQ6", - "rDqkU9EdzR3sIM8drh2rHbEdrB3uHOAgAwKCOgHCA8Qewx7FHsk5+DejFfQe6xyeHrwvAQpBERUhJykzOUpNBu8b", - "oRxjrCDFBoY6AQxrERUhJysuMzlNXX0M+huFAS0GZ8YG2EjYRAGXH5UflkQBDEoRFSEnKy4zOU1qfR75HYse/R1l", - "Lq0ctVLIHK4c2jzYRMcGp1O8O/c4tB2vHdIdzx/YH+Y2ApYflx/pBNke2x6OHOkb/h4BBzkRFSErLjwrhwFoLwhp", - "yAaoOrA6qFPVHdMd0R2yHa8dtR2wHQSuHMkc5CACAfg5gzqGOro7wyCDOIo4G+0czxyuHssE/x74H+gfwB6+HNwb", - "zR/cHs0TARJrERYYISYrMzU4Oz9NT11fb30OpjlqyQaHO9tE1QbvP/4f/R+LN4Y3xh6lHswcAQtHFiZNT11fb3d5", - "fQOmNr89yB4BDHsRFSEmKy4zOE1dfR1raQsybMsG4ESzOtxEq1PAO/s4vTvXIPMgtR2yHbMd/kHcH90fAcweyx6z", - "A88czhz1Gx4BBisRFSEuPCFsagxtzAbhRLQ6rFPZHdcd1R22HbMduR20HQTfIOUg+Rv0IAMB/h2CQvQ/ijrHIMw5", - "yR7KHqg2wDayBAEJeSMpa29wdHt9A/QcigjfHwEKaxEVISYuMTk8XSGNAW4ONQJvzgb3IO4g3ESuU6lEuB21Hbsd", - "th35OqM5hx7bRJsf+BuqRNAdgQX+OAGoHtYf9xybGrkVpiABCV0RFSEmLjE5PBWOAQ8DcM8G+CDvIK9TqkS2Hbwd", - "AYkehh7fRNxEnB+cG6YbszntHwEOaxUWIykqOTs/T1hvcH0JpTn7OnBx0AaqHokeA4A5AQgxERUhJi45PBaQARE4", - 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"Lgj4K7MstCy1LNYpAcEohyyGBccmqQLnLOsq3yqRKo0uxCyKKs4ZAQhMERsfICNFUDnLL8ovyS/IL8cvxi/FL8Qv", + "wy/CL8EvwC+/L74vvS8lDj4ErwGmLxW1Fa8VwykvCdglpCmuAYktii27CFylL7QstSy2LNcpyg8BsA6FLNEqpivf", + "KcoprCenJ+spuxXULZks/CaqKo4u1BkBCmQRGx8gI0VQano3zC/LL8ovyS/IL8cvxi/FL8Qvwy/CL8EvwC+/L74v", + "JgEPPwWwAacvFrYVsBW5FbwVjiyKLIssyBXLFcQpyinuKzAK2SWlKaYvgSvfKcsPtSy2LLcs3CDzII8uxiz9Juks", + "qyrVLfQYAQlqERsfICNFUHo4zS/ML8svyi/JL8gvxy/GL8UvxC/DL8IvwS/AL78vuhW9FY8siyyMLEAGsQGoLxe3", + "FbEVJwIQyRXMFYIr8SfiKeAppimnL8UpyykxC+Irtiy3LLgsAbAq3ijbKN0gmyzeKtos8Cr2GAEIehEbHyAjRVA5", + "zi/NL8wvyy/KL8kvyC/HL8YvxS/EL8Mvwi/BL8AvyhXNFSgRA0EHsgEYqS+4FbIVlSvGKTIMzCnwK9slpymxAY0t", + "X6gvzQ+3LLgsuSwBxSiLLIoFyyboKa0CnCzrLO8q4yquKpEu4hgBB0URGx8gI1A6zy/OL80vzC/LL8ovyS/IL8cv", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData6.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData6.lean index efa738be8..7b8d26f50 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData6.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData6.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 6. -/ def masterCertificatePart6 : List String := [ - "Ky5MU1UF6waVI40h9T/LJgEHIhEbHSYrLgPMJrYm9j8BCzERGx0hIyk9PkNHA+s/mSDnAQEwZREUFhgbHR8hIyYp", - "KywuMDI1OTs9PkBDREdLTE9QU1VWWF1fYWJnam9xcnR3eXp9AocivBUBBx9AREtMZ3cqiiYa6wyBJsAivyKVJJMk", - "mSSyBpEM4QvVQAoFOvUmjiIEA5Eh3STvPZMEwyayJpcjniOYQOgi3zwCqSanJqwm4STiJIZB6USMJagkAQEKPREV", - "Gx0rLT5RXQPpSY9BxwMBCl0WHiImKzM+U1YRtAaTDOML9SKAI58M6ybeAtQm0iaSP/I94SUBygSJAqEhAQZAREtM", - "Z3cajSbuDIQmwyLCIpgkliScJLUGlAzkCx0DoAzsJhmBI/Yi9SLFP5EFyCQB8gahA/ggAQNgZ24EiwyMIo8iwiUB", - "DVwRFRsdKy0vQUtMVmcM9AajA5YjmiOCIY9Bk0GUDMkjx0ChSgEBDUcRFRsdIiYrQUtMZ3cS3D+ZJPdY4gLWJtgm", - "1SYB6gnGIsVWxSL2Issklj+jIece5SUBBjwRGz5BSwPPBI4CqEoBEVMRFRsdIistQUNLT1ddX2J3B8Ui0STVRgHx", - 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"tzGPLpcuzy/dKp8Z/ierL9Axgi36GgEOOBUWGycpMT0+QUpMU10U/zL+Mvky+DL3MuYEnRLFDO8RlAjLMvExjyu2", + "Cakr5i/nL8MtxC3RLwEEFhsgUD2DM4IzgTOAM/8y/jL9Mvwy+zL6Mvky+DL3MvYy9TLnBAk5Bu0YpwHnGBCmAZcB", + "2DDVMNsw8BH4A5sszDL5FQKZKr8Ili+RL/YsgS2tL9QwAcUHlCn8L/svzDHOK8MviCyOMrAjiDGiLtMr0S/GLeUv", + "1DG5GgEHSxsgO1BTajqEM4MzgjOBM4Az/zL+Mv0y/DL7Mvoy+TL4Mvcy9jIR6AQ6AQfuGKgB6BjxGPQYly2SK5MU", + "miunAZgB2TDHDNAyzjLtLK4Omi2jL58vyjKuL8Etli3cMJUp2DHxLa0VmTDuLYQq4S+KMe0t4C/8L60fAQY7GyBQ", + "U2owhTOEM4MzgjOAM/8y/jL9Mvwy+zL6Mvky9zIS6QQ7AgjvGKkB6RjyGJMrmyuoAZkB2jDIDM8yrw6bLaAvyzIB", + "wy/3AsAtqS2XLZ4s5zDiMJ4wmCjiL4AohzGkLgEPJxcbKSsxOTo9PktTXWF7DYMz/jL9Mvwy+zLDLb8rwS3qBP0x", + "oyiVK+MvAQVTGyBQai+HM4UzhDOCM4EzgDP+Mv0y/DL7Mvky9Bj3GArIAdww6wQ9BPEY6xgUqgGbAdEysQ6mL6Iv", + "As4XzxeWCMgvAc0ymiyaK70xliv+Mbsr9SX8L+gqryjnLY0xAQU7GyBQUyaIM4YzgjOBM/oyFewEPgULAckB3TDa", + "MJwB8hjsGJ4txCfFL8MvqwGyDocThxnSMvEsqS+hL6MvkBf1K/UtlDHcKocsgDDLJAEKJxcbKTE6PT5QUySJM4Yz", + "hTODM4IzgTOAM/8y/jL7Mu0E8xitAe0YrAHVMtMymAiiL6gvpC/FK8IrAt4w2zCdAYAy9iuRJdEXmS69KNcvlTHd", + "IgEEUxsgUCWKM4gzhDODM4IzgDP8MhcC7gQDB8sBQA30GO4Y0RffMNwwngGtAZIltA7UMgGjL6kvpS/QMvcr/iuZ", + "KoUtljGSF/ctAQMgG1ACEQEBBjAbHzxQUxGHM4QzgTOZGPAY9hiwAfAEyxOvAaQs7iySC6QLgyucLsIxAQo/Fhsj", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean index 9feaa5311..f118a4dd7 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 7. -/ def masterCertificatePart7 : List String := [ - "KvcqhQbuROVFwU3iKKcr3yiVVIJDgCv/GAEGKxAVFmd3JbUCogIMCQQjGesE5CytDJsP4wWOBYsoDooGjSrqJ74o", - "wgKMKO4n+SoCuywBnirtQ7skyCsSnEXgKOYo70TKRqorAQUQFRZndxy2AuwE5SwkowIPDQqcD+QFjwWLBgWMKOsn", - 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a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData8.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData8.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 8. -/ def masterCertificatePart8 : List String := [ - "FRcbHR4hIiYoKy0vMDI1OTs8P0BDRUZKTU9RUlRXWVxfYWNkZ2hrbnFzdHZ5fQLYB5shATA7ERUWGx0eICMmKSst", - "LjAzNTg8P0FCRUdKTE9QUlRXWV1fYWJkZmlrb3FzdHd4en0C2QefJAIwchEUFhsdHyAjJikrLS4wMzU4Ozw/QUNE", - "R0pNTlBSVFdZXV9hYmVnaGpvcXV2eXt8AtsHkSABMGkRFBYbHR8gIyYpKy0uMDM1ODs8P0BDREdKTU9RUlVXWF1e", - "YWJkZ2pvcXJ1dnl7fALcB5EgAzB8ERQWGx0fICMmKSstLjAzNTg7PD9AQ0RHSk1PUVJUV1ldXmFiZWdoam9xcnV2", - "eXsC3weRIAEwXREUFhsdHyAjJikrLS4wMzU4Ozw/QENER0pNT1FSVFdZXmFiZWZpam9xcnV3eHt8AuAHkSABMHkR", - "FBYbHR8gIyYpKy0uMDM1ODs8P0BDREdKTU9RUlVXWFxfYWJkZ2lrbnFydXZ6fQLhB5EgAzB1ERQWGx0fICMmKSst", - "LjAzNTg7PD9AQ0RHSk1PUVJUV1lcX2FiZWdoa25xcnZ5en0C5AeRIAEwPxEUFhsdHyAjJikrLS4wMzU4OzxAQ0RH", - 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"BfI49DiHINgOmB+uN7M3xTABCycpLzM1P0JdcXt9FKg5oTmfOZ45zQSNC8YDCQbzOPU4iCDZDpYfmR+hM98B8yu8", + "NvUqAQpkIycvMzQ7RF97B6g5zgQKB6E2ozaKKwECPkERqjmkOZ05zwSPC8gDCwj1OPc4iiDbDpgfmx/GNcU10zQB", + "B2InKTREX3kXqzmqOaY5ozmiOaE50ASQC8kDDAn2OPg4iyDcDpkfnB/VG5Y0qjKyN6Q2iDQBCnUpKy8zNUtPe3wK", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData9.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData9.lean index 7b53c2cc1..6d1abbf8c 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData9.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData9.lean @@ -12,506 +12,301 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 9. -/ def masterCertificatePart9 : List String := [ - "Gx0fICMnKCssLzAzNTg7PT5BQkVHS05QU1RWWV1fYWJlZmlqb3FydHd5en0C8g/1JwEwNREUFhsdHyAjJygrLC8w", - "Mzg7PT5BQkVHSkxPUFJVVlldX2FiZGdpa25xc3R2eXp9AvMP8ycFMHkQFRcbHR4hIicoKywvMTI1OTo8P0BDRUZK", - 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"hjnSN+EzkBf8OP02+DfSJwEBTBaAO/w6+zr1OvQ6pQblDJ4F4QHeAcs6zTrgIbEQAS2sN6Y3zgGXNZM1wzcBATwH", + "/Dr1OgIBrzeoN7kBAQFLF4I7/jr9Ovc69jqnBucMoAXjAeABzTrPOuIhsxADAgGWNcI3yTeUNaw3mDUBABeDO/86", + "/jr4Ovc6qAboDKEF5AHhAc460DrjIbQQBAIBwjfFN8g3ljWaNa03", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean index f3cb661b4..b97101d06 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean @@ -14,43 +14,43 @@ namespace Erdos97Octagon.RawIncidence def masterCertificateFormatVersion : ℕ := 1 /-- Number of initial clauses. -/ -def masterCertificateInitialClauses : ℕ := 6582 +def masterCertificateInitialClauses : ℕ := 3263 /-- Number of retained LRAT additions. -/ -def masterCertificateAdditions : ℕ := 11139 +def masterCertificateAdditions : ℕ := 4294 /-- Number of omitted LRAT deletion records. -/ -def masterCertificateDeletions : ℕ := 8677 +def masterCertificateDeletions : ℕ := 3145 /-- Total number of actions in the generated LRAT text. -/ -def masterCertificateActions : ℕ := 19816 +def masterCertificateActions : ℕ := 7439 /-- Number of packed bytes. -/ -def masterCertificatePackedBytes : ℕ := 542830 +def masterCertificatePackedBytes : ℕ := 316443 /-- Number of base64 characters. -/ -def masterCertificateEncodedCharacters : ℕ := 723774 +def masterCertificateEncodedCharacters : ℕ := 421924 /-- Number of generated data modules. -/ -def masterCertificateDataModules : ℕ := 17 +def masterCertificateDataModules : ℕ := 10 /-- Number of sequential proof-stage modules. -/ -def masterCertificateStageModules : ℕ := 16 +def masterCertificateStageModules : ℕ := 3 /-- Maximum retained additions reconstructed in one proof stage. -/ -def masterCertificateMaximumAdditionsPerStage : ℕ := 700 +def masterCertificateMaximumAdditionsPerStage : ℕ := 1432 /-- Retained additions reconstructed by each sequential proof stage. -/ def masterCertificateStageAdditionCounts : List ℕ := - [700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 700, 639] + [1432, 1432, 1430] /-- Zero-based addition boundaries of the sequential proof stages. -/ def masterCertificateStageBoundaries : List ℕ := - [0, 700, 1400, 2100, 2800, 3500, 4200, 4900, 5600] ++ - [6300, 7000, 7700, 8400, 9100, 9800, 10500, 11139] + [0, 1432] ++ + [2864, 4294] /-- Maximum measured bytes used by one packed natural number. -/ -def masterCertificateMaximumVarintBytes : ℕ := 3 +def masterCertificateMaximumVarintBytes : ℕ := 2 /-- Decoder byte bound for one packed natural number. -/ def masterCertificateVarintByteBound : ℕ := 16 @@ -70,11 +70,11 @@ def masterCertificateCnfSha256 : String := /-- SHA-256 of the normalized LRAT text. -/ def masterCertificateLratSha256 : String := - "9775d8f16020ea79871936dcdc064a45e4f8097e054c7322c76a5f049e8551e7" + "e793eacb1b67901daad1a61d11e9c6f20ccc7ad832b67d16fe7550c1ea292e83" /-- SHA-256 of the packed certificate bytes. -/ def masterCertificatePackedSha256 : String := - "d5646632bb06c66f6f8caf638cbc7cdcdcd127e81ae88b2985b6d3990a4bf932" + "55a6fad508976f2ccb1a0ee412ca941564df743a4d6cf4552be1bd3c3360ccae" /-- Pinned CaDiCaL source commit. -/ def masterCertificateCadicalCommit : String := diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean index da254735d..64c8bc7e8 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean @@ -15,23 +15,16 @@ import LeanPool.Erdos97ConvexOctagon.MasterCertificateData6 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData7 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData8 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData9 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData10 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData11 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData12 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData13 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData14 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData15 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData16 /-! # Master-certificate proof stage 0 -/ namespace Erdos97Octagon.RawIncidence master_lrat_stage - initial_clauses 6582 - additions 11139 + initial_clauses 3263 + additions 4294 stage_start 0 - stage_stop 700 + stage_stop 1432 clause_prefix masterCertificateClause final_theorem masterFormula_unsatisfiable data_parts @@ -45,13 +38,6 @@ master_lrat_stage masterCertificatePart7 masterCertificatePart8 masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean index 4f12daa83..ad002ecd3 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean @@ -11,10 +11,10 @@ import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage00 namespace Erdos97Octagon.RawIncidence master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 700 - stage_stop 1400 + initial_clauses 3263 + additions 4294 + stage_start 1432 + stage_stop 2864 clause_prefix masterCertificateClause final_theorem masterFormula_unsatisfiable data_parts @@ -28,13 +28,6 @@ master_lrat_stage masterCertificatePart7 masterCertificatePart8 masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean index b07113e3b..11da2192b 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean @@ -11,10 +11,10 @@ import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage01 namespace Erdos97Octagon.RawIncidence master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 1400 - stage_stop 2100 + initial_clauses 3263 + additions 4294 + stage_start 2864 + stage_stop 4294 clause_prefix masterCertificateClause final_theorem masterFormula_unsatisfiable data_parts @@ -28,13 +28,6 @@ master_lrat_stage masterCertificatePart7 masterCertificatePart8 masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean deleted file mode 100644 index d8bcf8eed..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage03.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage02 - -/-! # Master-certificate proof stage 3 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 2100 - stage_stop 2800 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean deleted file mode 100644 index 33e6ea83d..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage04.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage03 - -/-! # Master-certificate proof stage 4 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 2800 - stage_stop 3500 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean deleted file mode 100644 index a0336b6ff..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage05.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage04 - -/-! # Master-certificate proof stage 5 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 3500 - stage_stop 4200 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean deleted file mode 100644 index 31f24b1e8..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage06.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage05 - -/-! # Master-certificate proof stage 6 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 4200 - stage_stop 4900 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean deleted file mode 100644 index 907bdc25d..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage07.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage06 - -/-! # Master-certificate proof stage 7 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 4900 - stage_stop 5600 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean deleted file mode 100644 index 83b3bd82a..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage08.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage07 - -/-! # Master-certificate proof stage 8 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 5600 - stage_stop 6300 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean deleted file mode 100644 index c68e2d6fe..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage09.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage08 - -/-! # Master-certificate proof stage 9 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 6300 - stage_stop 7000 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean deleted file mode 100644 index 38f1810c6..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage10.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage09 - -/-! # Master-certificate proof stage 10 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 7000 - stage_stop 7700 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean deleted file mode 100644 index b3f0b4795..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage11.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage10 - -/-! # Master-certificate proof stage 11 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 7700 - stage_stop 8400 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean deleted file mode 100644 index 48640b7f2..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage12.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage11 - -/-! # Master-certificate proof stage 12 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 8400 - stage_stop 9100 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean deleted file mode 100644 index d35b6806b..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage13.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage12 - -/-! # Master-certificate proof stage 13 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 9100 - stage_stop 9800 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean deleted file mode 100644 index e0ae4b56c..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage14.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage13 - -/-! # Master-certificate proof stage 14 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 9800 - stage_stop 10500 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean deleted file mode 100644 index c0ecba790..000000000 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage15.lean +++ /dev/null @@ -1,40 +0,0 @@ -/- -Copyright (c) 2026 Egor Lyfar. All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage14 - -/-! # Master-certificate proof stage 15 -/ - -namespace Erdos97Octagon.RawIncidence - -master_lrat_stage - initial_clauses 6582 - additions 11139 - stage_start 10500 - stage_stop 11139 - clause_prefix masterCertificateClause - final_theorem masterFormula_unsatisfiable - data_parts - masterCertificatePart0 - masterCertificatePart1 - masterCertificatePart2 - masterCertificatePart3 - masterCertificatePart4 - masterCertificatePart5 - masterCertificatePart6 - masterCertificatePart7 - masterCertificatePart8 - masterCertificatePart9 - masterCertificatePart10 - masterCertificatePart11 - masterCertificatePart12 - masterCertificatePart13 - masterCertificatePart14 - masterCertificatePart15 - masterCertificatePart16 - - -end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterFormula.lean b/LeanPool/Erdos97ConvexOctagon/MasterFormula.lean index 1da26037f..52a8f2db8 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterFormula.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterFormula.lean @@ -4,35 +4,37 @@ Released under Apache 2.0 license as described in the file LICENSE. Authors: Egor Lyfar -/ -import LeanPool.Erdos97ConvexOctagon.RowSymmetry +import LeanPool.Erdos97ConvexOctagon.MasterFormulaData /-! # Master coverage formula -The master formula combines every valid shared semantic clause with one clause -excluding each noncanonical first row. It has 64 variables and 6,582 clauses. +The master formula combines the shared semantic clauses used by the certificate +with the needed noncanonical first-row exclusions. It has 64 variables and 3,263 clauses. -/ namespace Erdos97Octagon.RawIncidence open LRAT -/-- References of every valid shared semantic clause, in generator order. -/ +/-- Shared semantic-clause references retained in the unsatisfiable core. -/ def masterReferences : List ℕ := (List.range 20659).filter fun reference => - (tagOfRef 0 0 reference).validB + masterReferenceUsedB reference && (tagOfRef 0 0 reference).validB /-- The seven canonical first rows viewed as finite sets. -/ def canonicalRows : List (Finset Vertex) := List.ofFn fun orbit : Fin 7 => packedRow (canonicalRowMask orbit) -/-- Every eight-bit row, in numeric mask order. -/ -def allPackedRows : List (Finset Vertex) := - (List.range 256).map fun mask => packedRow (UInt64.ofNat mask) +/-- Noncanonical first-row masks retained in the unsatisfiable core. -/ +def masterExcludedRowMasks : List ℕ := + (List.range 256).filter fun mask => + masterExcludedMaskUsedB mask && + decide (packedRow (UInt64.ofNat mask) ∉ canonicalRows) -/-- The 249 rows outside the seven canonical symmetry classes. -/ +/-- First rows excluded by the committed unsatisfiable core. -/ def excludedRows : List (Finset Vertex) := - allPackedRows.filter fun row => row ∉ canonicalRows + masterExcludedRowMasks.map fun mask => packedRow (UInt64.ofNat mask) /-- A clause which is false precisely when row one equals `row`. -/ def rowExclusionClause (row : Finset Vertex) : Clause := @@ -42,11 +44,11 @@ def rowExclusionClause (row : Finset Vertex) : Clause := else .positive (varIndex 1 target) -/-- All valid shared clauses. -/ +/-- Retained shared clauses. -/ def masterBaseFormula : Formula := masterReferences.map fun reference => (tagOfRef 0 0 reference).toClause -/-- Clauses restricting row one to the seven canonical rows. -/ +/-- Retained noncanonical first-row exclusion clauses. -/ def canonicalRowFormula : Formula := excludedRows.map rowExclusionClause @@ -57,6 +59,7 @@ def masterFormula : Formula := /-- A valid in-range shared reference gives its clause directly from the master formula. -/ theorem masterBaseClause_proves (reference : ℕ) (hrange : decide (reference < 20659) = true) + (hused : masterReferenceUsedB reference = true) (hvalid : (tagOfRef 0 0 reference).validB = true) (clause : Clause) (hclause : clause = (tagOfRef 0 0 reference).toClause) : masterFormula.Proves clause := by @@ -67,11 +70,13 @@ theorem masterBaseClause_proves apply Or.inl refine ⟨reference, ?_, rfl⟩ rw [masterReferences, List.mem_filter] - exact ⟨List.mem_range.mpr (of_decide_eq_true hrange), hvalid⟩ + exact ⟨List.mem_range.mpr (of_decide_eq_true hrange), + by simpa only [Bool.and_eq_true] using And.intro hused hvalid⟩ /-- A noncanonical in-range row mask gives its exclusion clause from the master formula. -/ theorem canonicalRowClause_proves (mask : ℕ) (hrange : decide (mask < 256) = true) + (hused : masterExcludedMaskUsedB mask = true) (hnoncanonical : decide (packedRow (UInt64.ofNat mask) ∉ canonicalRows) = true) (clause : Clause) @@ -83,10 +88,11 @@ theorem canonicalRowClause_proves rw [masterFormula, List.mem_append, canonicalRowFormula, List.mem_map] apply Or.inr refine ⟨packedRow (UInt64.ofNat mask), ?_, rfl⟩ - rw [excludedRows, List.mem_filter] - refine ⟨?_, hnoncanonical⟩ - rw [allPackedRows, List.mem_map] - exact ⟨mask, List.mem_range.mpr (of_decide_eq_true hrange), rfl⟩ + rw [excludedRows, List.mem_map] + refine ⟨mask, ?_, rfl⟩ + rw [masterExcludedRowMasks, List.mem_filter] + exact ⟨List.mem_range.mpr (of_decide_eq_true hrange), + by simpa only [Bool.and_eq_true] using And.intro hused hnoncanonical⟩ private theorem rowExclusionClause_satisfied (Q : OctagonIncidence) (row : Finset Vertex) @@ -120,8 +126,11 @@ private theorem masterBaseFormula_satisfied rw [masterBaseFormula, List.mem_map] at hclause obtain ⟨reference, hreference, rfl⟩ := hclause have hparts := List.mem_filter.mp hreference + have hchecks : masterReferenceUsedB reference = true ∧ + (tagOfRef 0 0 reference).validB = true := by + simpa only [Bool.and_eq_true] using hparts.2 exact (tagOfRef 0 0 reference).satisfies hC hR hN hSparse hBalanced - ((tagOfRef 0 0 reference).valid_of_validB hparts.2) + ((tagOfRef 0 0 reference).valid_of_validB hchecks.2) (tagOfRef_baseBranchValid Q (List.mem_range.mp hparts.1)) /-- The canonical-row clauses are satisfied for one selected canonical orbit. -/ @@ -133,15 +142,21 @@ theorem canonicalRowFormula_satisfied intro clause hclause rw [canonicalRowFormula, List.mem_map] at hclause obtain ⟨row, hrowExcluded, rfl⟩ := hclause + rw [excludedRows, List.mem_map] at hrowExcluded + obtain ⟨mask, hmask, rfl⟩ := hrowExcluded apply rowExclusionClause_satisfied intro hequal - have hcanonical : row ∈ canonicalRows := by + have hcanonical : packedRow (UInt64.ofNat mask) ∈ canonicalRows := by rw [← hequal, hrow] unfold canonicalRows rw [List.mem_ofFn] exact ⟨orbit, rfl⟩ - have hnotCanonical : row ∉ canonicalRows := - of_decide_eq_true (List.mem_filter.mp hrowExcluded).2 + have hmaskParts := List.mem_filter.mp hmask + have hmaskChecks : masterExcludedMaskUsedB mask = true ∧ + decide (packedRow (UInt64.ofNat mask) ∉ canonicalRows) = true := by + simpa only [Bool.and_eq_true] using hmaskParts.2 + have hnotCanonical : packedRow (UInt64.ofNat mask) ∉ canonicalRows := + of_decide_eq_true hmaskChecks.2 exact hnotCanonical hcanonical /-- Every hypothetical normalized counterexample with canonical row one diff --git a/LeanPool/Erdos97ConvexOctagon/MasterFormulaData.lean b/LeanPool/Erdos97ConvexOctagon/MasterFormulaData.lean new file mode 100644 index 000000000..00c3f6270 --- /dev/null +++ b/LeanPool/Erdos97ConvexOctagon/MasterFormulaData.lean @@ -0,0 +1,111 @@ +/- +Copyright (c) 2026 Egor Lyfar. All rights reserved. +Released under Apache 2.0 license as described in the file LICENSE. +Authors: Egor Lyfar +-/ + +import LeanPool.Erdos97ConvexOctagon.RowSymmetry + +/-! # Generated master-formula core data -/ + +namespace Erdos97Octagon.RawIncidence + +/-- Bitset of source-clause references retained in the unsatisfiable core. -/ +def masterReferenceWords : Array UInt64 := #[ + 65279, 0, 6054245457279494826, 12297664111594611348, + 12290695751026430986, 12296235089538650794, 12106426295073286741, 3038248187879135910, + 11721084945966473888, 11574961440274417160, 10961946942898741376, 2450558704720972168, + 11694200616961870474, 11719078724732854313, 12297829382473034394, 6148914691237915306, + 4701851469463158784, 45812984448, 12286945683374687568, 23090459312810, + 12106426215079870545, 4611686018427423394, 2437239498081285, 12151418273816248840, + 9808839989490943272, 4641568719538129032, 11676180718043533328, 289375150469161128, + 9840365185804533776, 18320652080236200185, 58574344149794816, 156373316796416, + 16140901380827756384, 15690541102385182062, 30751967071090, 135417298944, + 477577216, 20731085583286272, 41049955237888, 2269880263614922752, + 8004453240143872, 699183842149269504, 4613212140566759808, 1351079888211148837, + 1836800, 70532112531456, 137791619776, 269156352, + 11529250230441091264, 603501041765319696, 73325495764123650, 143282615091200, + 5243034671172608000, 15472573364730818014, 15852630545700715455, 17437894875938807039, + 4819694977254616062, 36100282415688704, 8560199916016631808, 9871764977258330315, + 12819198254673535905, 17261909920381464790, 6902962401242775544, 8034395067448667035, + 4232363302896645491, 14399133793503211605, 10093323258898857992, 2670565250079718758, + 18085431369629774830, 15143710956201378379, 6393220096680036367, 1189216040921326938, + 816721704146445073, 623570433608192, 14154657566601415466, 2307603894468616768, + 306256536506597458, 5072302779683373827, 13898250291377119937, 1809901899135090950, + 40134972199227520, 504403158266806272, 154618822656, 73606050007744512, + 2247676679424651, 938112119106699456, 8075657957058021152, 2353412831224795138, + 9223374753690048640, 37520935518278, 648518346341351442, 54043195533426712, + 4415226380289, 576460821022900288, 8589950976, 292770259662815232, + 2256197869633600, 4539611921514496, 67776, 17179869200, + 65536, 144115188075872256, 1275716956061700, 4294967296, + 34359738368, 34359738368, 137438953488, 0, + 4398046511104, 1028, 0, 33554560, + 2097152, 2600, 285873155342336, 144115188177051648, + 5269283053779554304, 4503797222081552, 1153216356278075486, 9871894232631875852, + 1362340264850507824, 70369281458192, 2427440336591651328, 5476377146882523145, + 1125899911036928, 8589951056, 578712556697288720, 4398047035392, + 18014400656967680, 0, 72198331534802944, 25165824, + 8912057139328, 2256197860197376, 9223376778499719168, 2251937386856448, + 0, 262144, 0, 0, + 512, 20266473201074176, 17314086912, 0, + 576465150350000256, 1024, 72060892572811264, 1073741824, + 4503601775378432, 1585267068834516992, 17006598, 0, + 131072, 1162210178838306945, 1126157604880416, 6917529027653666944, + 21163399811432856, 1152921504640401408, 16777216, 0, + 8796094070784, 0, 70368744177664, 18014401093173249, + 0, 562949953421312, 1733885979187478528, 7, + 14289926015827510789, 1081856, 0, 0, + 0, 563499726012544, 4504166563053568, 0, + 0, 0, 0, 196608, + 17609365917696, 0, 2305843009213693952, 0, + 1130847713361920, 0, 1125942856515616, 4611686019503228928, + 17661711884352, 3497170457161891840, 1052736, 8796093022208, + 0, 0, 0, 0, + 9007199254740992, 0, 0, 0, + 0, 0, 0, 0, + 0, 2305843009213693952, 332802, 1152921504741072896, + 9007243548819456, 35185462608132, 45035996282816512, 0, + 0, 0, 0, 1188950301625810944, + 0, 1024, 2048, 4611686035607257088, + 4398046515200, 786480, 0, 9223654164934950912, + 21111552, 18446744073709027328, 18446744073709551615, 7, + 0, 0, 0, 0, + 0, 0, 0, 18444492273895866368, + 18446744073709551615, 18446744073709551615, 2047, 0, + 18446744039349813248, 18446744073709551615, 18446744073709551615, 18446744073709551615, + 18446744073709551615, 140737488355327, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 0, 0, 0, + 0, 18446744073709551488, 18446744073709551615, 18446744073709551615, + 18446744073709551615, 18446744073709551615, 18446744073709551615, 18446744073709551615, + 2251799813685247, 0, 0, 0, + 0, 0, 0 +] + +/-- Bitset of first-row masks retained in the unsatisfiable core. -/ +def masterExcludedMaskWords : Array UInt64 := #[ + 153122387330596864, 86168803613876256, 86151340276850688, 72903260267221536 +] + +/-- Whether a shared clause belongs to the committed unsatisfiable core. -/ +def masterReferenceUsedB (reference : ℕ) : Bool := + bitSetB (masterReferenceWords.getD (reference / 64) 0) (reference % 64) + +/-- Whether a noncanonical first-row mask belongs to the committed core. -/ +def masterExcludedMaskUsedB (mask : ℕ) : Bool := + bitSetB (masterExcludedMaskWords.getD (mask / 64) 0) (mask % 64) + +end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/Regenerate.lean b/LeanPool/Erdos97ConvexOctagon/Regenerate.lean index da9bde4c0..d0cb51fc3 100644 --- a/LeanPool/Erdos97ConvexOctagon/Regenerate.lean +++ b/LeanPool/Erdos97ConvexOctagon/Regenerate.lean @@ -28,6 +28,7 @@ namespace Erdos97Octagon.Regenerate open LRAT RawIncidence open System +open Std private def cadicalCommit := "c60730422e758ef1cebe7aeddf2dda31c996bf04" @@ -35,21 +36,19 @@ private def cadicalCommit := private def dratTrimCommit := "2e3b2dc0ecf938addbd779d42877b6ed69d9a985" -private def initialClauseCount := 6582 -private def additionCount := 11139 -private def deletionCount := 8677 -private def actionCount := 19816 -private def additionsPerStage := 700 +private def solverInitialClauseCount := 6582 +private def initialClauseCount := 3263 +private def additionsPerStage := 1432 private def encodedLineWidth := 88 private def linesPerDataModule := 500 -private def stageCount : ℕ := +private def stageCount (additionCount : ℕ) : ℕ := (additionCount + additionsPerStage - 1) / additionsPerStage private def stageStart (index : ℕ) : ℕ := index * additionsPerStage -private def stageStop (index : ℕ) : ℕ := +private def stageStop (additionCount index : ℕ) : ℕ := min additionCount ((index + 1) * additionsPerStage) private inductive Mode where @@ -75,6 +74,11 @@ private structure ParsedCertificate where actions : ℕ deletions : ℕ +private structure DerivedCore where + identifiers : HashMap ℕ ℕ + referenceWords : Array UInt64 + excludedMaskWords : Array UInt64 + private def parseNatural (token : String) : Except String ℕ := match token.toNat? with | some value => pure value @@ -193,11 +197,244 @@ private def renderClause (clause : Clause) : String := let literals := clause.map fun literal => toString (literalInteger literal) String.intercalate " " literals ++ " 0\n" -private def renderMasterCnf : Except String String := do - unless masterFormula.length = initialClauseCount do - throw s!"expected {initialClauseCount} master clauses, got {masterFormula.length}" - pure <| s!"p cnf 64 {initialClauseCount}\n" ++ - String.join (masterFormula.map renderClause) +private def retiredPatternCount : ℕ := 508 + +private def retiredPatternPackedBytes : ℕ := 5080 + +private def retiredPatternEncoded : String := + String.join [ + "HAAAAGFhAAAAAD0AAAAARUUAAABGAAAAAGRkAAAAWgAAAADBwQAAAG0AAAAAAEVFAACYAAAAACUAACUAuAAAAACk", + "AACkALkAAAAAAKQApADJAAAAACUAAAAlygAAAAAAJQAAJcsAAAAAAAAAJSXaAAAAAABFAABF6AAAAABkAAAAZOwA", + "AAAAAGgAAGgIAQAsKiIAAAAACgEALCImAAAAAAsBACwoJgAAAAAPAQBMSkQAAAAAEAEATEJGAAAAABEBAExIRgAA", + "AAASAQBESkYAAAAAGAEAhIqGAAAAADUBAAA4NCQAAAA7AQAAODQoAAAAQAEAADgkLAAAAEEBAAA4MCwAAABKAQBE", + "UgBGAAAATQEAAFhUSAAAAFABAEgAUkoAAABSAQAAWERMAAAAUwEAAFhQTAAAAFQBAABIVEwAAABcAQCEkgCGAAAA", + "aAEAJSMAAAMAAGsBACUjAAAFAABxAQAAKSUACQAAewESAAAAIxMAAIsBAABoZABIAACrAQCkoAAAhgAAyAEARUMA", + "AAADAMwBAEVDAAAABQDRAQYAQwAAAAcA2wEAAFEARQARAOYBAAAAYQBJIQDnAQAAAABhUSEA7QEAAAAAYlIiAAkC", + "AAAAYQBBKQAKAgAAACEASSkACwIAAABBAEkpAA4CACgAYgAAKgAZAgAAcABkADAAGgIAAABwaAAwACACAAAAACFR", + "MQAhAgAAAABBUTEAKQIAAHAAYAA0AC8CAAAAcGAAOAA9AgDEwAAAAIYAgAIAAKIAAIYAIoUCAACwAKQAACSwAgAA", + "oACkAAA0tgIAAACgqAAAOMcCAMTAAAAAAEb/AgAAAOAAAChoAAMAAAAA4FAAcAEDAAAAAOAAMHAOAw4FCgYAAAAA", + "NAMcABEFDAAAAFEDFAAwACUFAABSAwAsCiIABgAAVQMALAokAAYAAGUDDAApIQAJAABwAwAsIgYACgAAdQMAJCgm", + "AAoAAIgDAAA4FCQMAACJAwAAODAkDAAAjQMAADA0KAwAALIDACQyAAYUAAC9AwAAKDAsFAAAxAMAKAAyChgAAMcD", + "AAAwNAwYAADOAwAAMBQsGAAA0AMYAAAhCRkAANQDGAAAESgZAAD/AwBkYAAARAYAEgQYAABBSQAJABQEAExCBgAA", + "CgAiBAAoAGIAQgoAKQQKSAADAAALADQEAABYFEQADAA8BAAAKGQARAwAQgQMAEEFAAANAEYEDAAJRAAADQBKBBgA", + "AFFBABEAYwQAYAAAYkISAG4EAERSAAYAFAB8BAAAMABkRBQAgQQAAGAAZFAUAIIEFABBAAUAFQCGBBQAEQBEABUA", + "iAQASABSCgAYAIoEAABIVAwAGACNBAAASFREABgAkgQAAFAUTAAYAJUEAAAAcGBIGACcBBgAAEEJABkApwQAaABg", + "AAoiAK0EAGAAAGISIgCwBAAoAGIAQiIAwgQAKABgAEoiAM0EAGRgAAAGJADPBABgYgAABiQA2wQAYGIAAEIkANwE", + "AGQiAABEJADlBABgQgAARiQA6gQAAChEAEwkAO4EAABwAERQJAAFBQAAAHBgGCgADAUAAGgkAEQoABAFAGgAIgBI", + "KAASBQBoAEIASCgAFQUAAABQaEgoABcFAGAAIgBKKAAdBQAAYEQATCgAHgUAAABwSFAoACAFAAAAMGhQKAAnBQAo", + "AGAAQioALAUAAEgkAEQsADYFAABwAEQUMABCBQAAcAAkRDAARAUAAFAAZEQwAEgFAAAAUGhIMABPBQAAAHBIUDAA", + "VwUAAGAARFQwAIcFHgAJBgsAAACeBQAtIyIACQAAugUcADA1AAwAAMcFACUzACQRAADOBRYkAAAnEgAA4AUWACIA", + "JxQAAOsFHAAAJSEVAAD+BRopAAAhGQAA/wUcACkAIRkAAAMGHAARACwZAAAFBgAoaGYAQgAACAYAKAByaEIAACwG", + "AABYJGRMAABBBgAAMHBMVAAARwYYAABhSVgAAEwGACSqpACCAABtBgAoAJKoigAAdQYAACiUqIwAAIoGFACRAKGU", + "AACNBgAAqJQomAAAkwYYAACBqZgAAK4GDkUARgAACgCvBg5EAEcAAAoAvgYOAEpDAAAMANEGAEVTAEQAEQDTBgBh", + "AABgUxEA7AYcAFgASQAUAAUHHABJAEEAGQAIBwBlQwAAQiEAEwcAbAAmAEQiACsHACVjAABBJAA5BwAsaAAASiQA", + "WAcAbEoAAEIoAHQHACxiQgAAKgCBBwBkKkQAACwAhAcAAEg0aAAsAK0HAGEAAGARMwCxBwAAUHAsADQAsgcAZDIA", + "RAA0AN8HAADQUMwAiAD5BwDEkgBEAJQAEwgOAIoFAAAABxsIDoQAhwAAAAogCA4Ag4EAAAALJQgOAIuCAAAADCoI", + "HACYkQAAAAwsCBwAkJUAAAAMNAgWhAAAhwAAEjkIFgCDAIEAABM9CBYAkwCCAAAUQAgWAIIAhwAAFEEIHACZAIgA", + "ABRECBwAiACNAAAUTAgaAACCiwAAGGMIACyoAACKACRkCAAAoiYAigAkfAgALACkAIYAKIsIAAAA8ACQOCihCAAA", + "cADgxAAwsQgAAJiwAIgANL0IAMQAAEYAlELRCAAAwgBGAJJE1AgAZOIAAACgRNYIAADwAGQAoETmCABMAMQAAIZI", + "5wgAAADwAFiQSOoIAABY0AAAlEjtCAAAaOQAAKBI7ggAAADwaACgSPwIAMQAhgAAgkwBCQAAUgDCAIZQCQkAAHAA", + "5ACgUAoJAAAAcOgAoFAZCQAAmNAAAIhUGgkAAADEjACIVEAJHgwSAwYAAABSCR4MCRIJAAAAUwkeBQoSCQAAAFYJ", + "HgwDFAkAAABZCR4FEhQJAAAAXgkeBRERCgAAAGAJHgUSEQoAAABlCRYNERIKAAAAawkWDBESCwAAAHQJHgUKEQwA", + "AAB8CR4FChQMAAAAlgkaIQAyCQMAAJcJGigAMgkDAACeCRohADEoAwAAoAkaIQARKgMAAKUJDiEqBQAFAADLCQ4s", + "IQUABgAAzgkOLCgFAAYAANIJFiQxAAMGAADcCQ4hCgUABwAA7gkOLAMhAAkAAO8JDiUiIQAJAADwCQ4kIyEACQAA", + "8wkGLSEiAAkAABcKDiUJIgAKAAAdCg4hAyYACgAARAoOBSgjAAwAAHIKFiQjACERAABzChYFMgAhEQAAiAoGJTIA", + "JBEAAI4KFiERACYRAACmChYhAwAmEgAArwoaKAARKhIAALsKGigAISETAADSChYFIQAmFAAA5goWISIAIRUAAPEK", + "FgUSACQVAAABCxwACTAlGAAAEwscABEhDBkAACwLDkxBAwAAAwA/Cw5MQgMAAAUAWQsOQUoDAAAGAGILFkRRAAMA", + "BgCWCw5EQ0EAAAkAmgsGTENCAAAJAJwLBkVKRAAACQCrCw5MCUEAAAoArAsORQlCAAAKALALDkwJRAAACgC4CxpB", + "AFIDAAoA3QsOREJBAAALAA4MAAA4RGgUDAATDAAASDRkGAwAGQwKQUgHAAANACsMFkVCAEEAEQA6DAZFUQBEABEA", + "QQwWRREAQgASAEMMFkQRAEMAEgBQDBpBAANKABIAcAwWBUIAQQATAIcMFgVBAEYAFACIDBYFQgBGABQApQwAAFBk", + "LBgUAK0MFkQDAEEAFQCuDBYFEgBBABUAwQwcABFURAAYANQMAABwNEQMGADVDAAAcDRIDBgAIA0GYUMAAEQiADIN", + "BmQDAABFIgA0DQZhIgAARSIAbQ0AaAAwKlAiAIkNBiVBAABCIwCKDQYkQwAAQiMAkg0GJWIAAEEkAK4NBmFDAABE", + "JAC9DQYlQgAARSQACg4AAEgwLFQkAC0OCikAYQBBKADSDgBkUgAGQjAA3Q4AJGIAZEIwAC0PFABRAEFUMABaDxQA", + "IQBFUDQAfw8GxMEAAAADBo4PDoSDgQAAAAmrDw6EgoEAAAALuA8cAJCUCQAADL4PAACINKQYAAz0DxwAiBGMAAAU", + "+g8AAJCkLBgAFAAQAACQxEwAGBQGEBwAiISBAAAVDBAcAAmQhQAAGCIQHACIhIEAABlhEAwACaEAhQAodBAAAGjA", + "AMgkKHcQAAAA0GCYKCh+EBQAEQChhQAwpxAGxAMAAACFQs4QAGTAAAAGokTuEAAAaKAARKhICxEAAHAAoESwUBcR", + "AAAAMGDImGAYEQAAAGAo0JhgLxEAAKjAAAyIZDARAACwAMAUkGQ0EQAAwKQADIRoOREeITgRAAYAAEERHiE4AAkG", + "AABGER4hOAAMBgAASREWLAASCQcAAFcRHiEZMAAKAACLEQ4sGQAkEgAAjhEOLQAUKBIAAJERHiEYACwSAACcER4N", + "KAAhFAAAphEOACsSKBQAAKgRHgkhACoUAACqER4AIQMqFAAArBEeACESKhQAALQRHg0AJCEYAAC4ER4ACiYhGAAA", + "xREWDAAiJxgAAMwRCmVoBQBCAADNEQphagUAQgAA1hESYXIABUIAAOgRCmFqBQBEAAASEgplYiEASAAAExIMZGMh", + "AEgAAFUSFGRjACFQAABkEhRkAwBjUAAAqRIKoaoFAIIAAMQSCqGqBQCEAADMEhKhsgAFhAAAGhMKIQCRqIoAAB4T", + "CqGiIQCMAAAfEwoFqoEAjAAAOxMSBbIAoZAAAFgTCiEAsYiSAACCEwAMoiKkmAAAhBMeQVgRAAAGAIoTHkFYAAkA", + "BgCOEx5BWAAMAAYAnhMOAFIRDAAHALATHkEAVAwACgDDEw4AEVIMAAsA0BMeAFJBAwAMANkTFgBSUAsADAD3Ew5M", + "GQBEABIA+hMeQQkATAASABMUFgAJFEoAEwAYFB4NSABBABQAHBQeAEoGQQAUAEUUHgAKRkEAGABPFB4AEkFGABgA", + "WhQcAABkQQ0YAHUUCmFqBQAAIgB/FAphABFqACIAgRQOTCkAAEQiAJwUDkEABQBNIgCfFBZFAAAmUCIAthQKYWoF", + "AAAkALoUEmFyAAUAJADZFA4pQQAASSQAVhUaAABDKlAoAGkVAGwSACRYKABqFQ4hSQAAQikAgBUAADAyDEYqAJIV", + "CmUiQQAALACTFQxkI0EAACwApBUOIQAFAEItALYVFiUAAEZCMAC3FRYkAABHQjAAuRUaKQAASkIwAMcVFiUAAEFF", + "MADUFRoAACNKSDAA+hUSJWIAQQAyABcWFGQjAEEANAAkFhYhEQAAQjUAJRYWIQAABUI1AC8WAGQSYkQAOAAzFgBs", + "EgBESDgANxYaIQAACUI5AFQWCgXKgQAAjABXFhTEwwBBAJAAcBYeAAuCgQAAGHEWHg0AhIEAABh5FgAkQgAAg6Uh", + "mRYAAAAwSMmRQSYXHgUwIQYMAAAsFx4AMTIGDAAAaxcOLBgFJBIAAKUXHgwjACoUAADsFxIlcgBhQgAABRgKYWol", + "AEgAAB4YDmEhQwBMAABqGAolqqEAggAAbBgSJbIAoYIAAJwYBqGLJACMAACeGA6hIYMAjAAArxgSobIAJZAAAL0Y", + "FCSjAIWSAADDGBahgwAhlAAAyRgGoZMAJJQAABsZEkFIFEoABwAnGR5FElQAAAoARxkGQVJQDAALAEoZEkEYREYA", + "CwBbGR4AUVIGAAwAihkOTBgFRAASAI8ZDkwJFEgAEgCSGR5FCgBMABIAnxkGZCMAYBESALIZHgVIBkEAFADDGR4A", + "ShJJABQA3BkeDAlCQQAYAN0ZHgUKQkEAGADfGR4MA0RBABgA4xkeBRJBQgAYAAQaHAxSQwAAGQALGg5FKAMARCIA", + "GhoWRTAAA0QiAD8aGkEAMgNIIgBFGg5sAwAASSIAUBoWQRMAIlAiAKcaFiFSAAZCJADPGg4haAAASyQAFhsKYWpF", + "AAAoABsbDiQjQQBBKAArGw4pA0QAQigAWhsOJANBAEUoAFsbDiQiQQBFKACqGw5hQSMAACwArRsOYSNBAAAsAPUb", + "FiQiAEFDMAATHBYkAwBBRTAAUxwWJWEAQQAyAFccBiVxAEQAMgBcHBZkAABBRTIAxRweDIIFgQAAFMYcHgyCBoEA", + "ABTNHB4MCoSBAAAYHB0ODYFEAACIRCMdBmGjAAAApEQmHQ4NSIEAAIRIbx0eIRImBQoAAAweCgVyEWhEAAAbHhJl", + "YjAJSAAALh4KZWIRKFAAAC8eDGRjEShQAABgHhIFqrAJhAAAaB4GCbESqIQAAN4eHkRSQQUACQDhHh5MGEEFAAoA", + "5R4eQRJGBQAKAOseHkERUgYACgA9Hx5BCQZKABIAaR8aAGAjSgwUAMcfHkE4AAlEIgAkIB4hWAAJQiQA/SAOLRgA", + "REIwAAkhHgwqAEFEMACDIR6BEZIGAAAKnCEegQkGigAAErAhHoE4AAmEACKyIR6BETQAiAAiviEOgUkAAMApIsYh", + "HgCSIQOIACTMIR4AgQMqkAAk2CEeIQCUBYIAKOYhDkQAhwDAIijuIR4hCQCMggAwAiIegVgRAACEQgQiHoFYAAkA", + "hEIVIh5BmBEAAIJEFyIeQZgACQCCRDIiHgUAgUYAkEg/Ih5BCQCMAIJQUSIWQTEAAJGCYF4iDiFJAACCiWBjIhop", + "AABBiZBgcCMKYVASDAsGAFIkDkUJEihQIgBiJB4sWAAFQiQAbyQWDFEiA0gkAMgkHiEJUAxCKAA0Jh5MAMSBAAoY", + "QSYehAoDIZAAIosmFiQhkAmDACiVJh4FEoEikAAotCYOJCERiIMAMEwnHgwDRIEAiFBwJwYpgQAAyIpkvigagSgG", + "qhQAEjQpFgAywEOEGChAKR4AE4FCwDAoqykWJbAABUGgRLcpHgmBACpQoETYKRYlAJAJRaBI/ioODRhBJJCIYA", + ] + +private def packedByteAt (bytes : ByteArray) (index : ℕ) : Except String ℕ := + match bytes[index]? with + | some byte => pure byte.toNat + | none => throw "retired-pattern data ended early" + +private def decodeLittleEndianUInt64 + (bytes : ByteArray) (offset : ℕ) : Except String UInt64 := do + let mut value : ℕ := 0 + for index in [0:8] do + value := value + (← packedByteAt bytes (offset + index)) * 256 ^ index + pure (UInt64.ofNat value) + +private def decodeRetiredPatterns : Except String (Array (ℕ × UInt64)) := do + let bytes ← decodeBase64 retiredPatternEncoded + unless bytes.size = retiredPatternPackedBytes do + throw "retired-pattern packed size mismatch" + let mut result := Array.mkEmpty retiredPatternCount + let mut previousOrigin : Option ℕ := none + for index in [0:retiredPatternCount] do + let offset := 10 * index + let low ← packedByteAt bytes offset + let high ← packedByteAt bytes (offset + 1) + let origin := low + 256 * high + let mask ← decodeLittleEndianUInt64 bytes (offset + 2) + unless origin < 11043 do + throw s!"retired pattern origin {origin} is out of range" + if let some previous := previousOrigin then + unless previous < origin do + throw "retired pattern origins are not strictly increasing" + result := result.push (origin, mask) + previousOrigin := some origin + pure result + +private def retiredPatternMap : Except String (HashMap ℕ UInt64) := do + let entries ← decodeRetiredPatterns + let mut result : HashMap ℕ UInt64 := {} + for (origin, mask) in entries do + unless (patternEntry origin).isNone do + throw s!"retired pattern origin {origin} remains in semantic coverage data" + result := result.insert origin mask + pure result + +private def solverExcludedMasks : List ℕ := + (List.range 256).filter fun mask => + decide (packedRow (UInt64.ofNat mask) ∉ canonicalRows) + +private def retiredPatternClause (mask : UInt64) : Clause := + ((List.range 64).filter fun index => bitSetB mask index).map .negative + +private def isPatternReference (reference : ℕ) : Bool := + decide (3376 ≤ reference ∧ reference < 14419) + +private def solverReferenceValidB + (retired : HashMap ℕ UInt64) (reference : ℕ) : Bool := + if isPatternReference reference then + (tagOfRef 0 0 reference).validB || + retired.contains (reference - 3376) + else + (tagOfRef 0 0 reference).validB + +private def solverReferenceClause + (retired : HashMap ℕ UInt64) (reference : ℕ) : Clause := + if isPatternReference reference then + match retired[reference - 3376]? with + | some mask => retiredPatternClause mask + | none => (tagOfRef 0 0 reference).toClause + else + (tagOfRef 0 0 reference).toClause + +private def solverReferences (retired : HashMap ℕ UInt64) : List ℕ := + (List.range 20659).filter (solverReferenceValidB retired) + +private def solverFormula (retired : HashMap ℕ UInt64) : Formula := + (solverReferences retired).map (solverReferenceClause retired) ++ + solverExcludedMasks.map fun mask => + rowExclusionClause (packedRow (UInt64.ofNat mask)) + +private def renderMasterCnf (retired : HashMap ℕ UInt64) : + Except String String := do + let formula := solverFormula retired + unless formula.length = solverInitialClauseCount do + throw s!"expected {solverInitialClauseCount} solver clauses, got {formula.length}" + pure <| s!"p cnf 64 {solverInitialClauseCount}\n" ++ + String.join (formula.map renderClause) + +private def bitsetWords + (size : ℕ) (values : Array ℕ) : Except String (Array UInt64) := do + let mut words := Array.replicate ((size + 63) / 64) 0 + for value in values do + unless value < size do + throw s!"bitset value {value} is out of range" + let index := value / 64 + let word := words.getD index 0 + words := words.set! index (word + 2 ^ (value % 64)) + pure <| words.map UInt64.ofNat + +private def deriveCore + (retired : HashMap ℕ UInt64) (steps : Array Addition) : + Except String DerivedCore := do + let mut usedSourceIdentifiers : HashSet ℕ := {} + for addition in steps do + for antecedent in addition.antecedents do + if antecedent ≤ solverInitialClauseCount then + usedSourceIdentifiers := usedSourceIdentifiers.insert antecedent + let mut identifiers : HashMap ℕ ℕ := {} + let mut references := #[] + let mut excludedMasks := #[] + let mut oldIdentifier := 1 + let mut newIdentifier := 1 + for reference in solverReferences retired do + if usedSourceIdentifiers.contains oldIdentifier then + identifiers := identifiers.insert oldIdentifier newIdentifier + references := references.push reference + newIdentifier := newIdentifier + 1 + oldIdentifier := oldIdentifier + 1 + for mask in solverExcludedMasks do + if usedSourceIdentifiers.contains oldIdentifier then + identifiers := identifiers.insert oldIdentifier newIdentifier + excludedMasks := excludedMasks.push mask + newIdentifier := newIdentifier + 1 + oldIdentifier := oldIdentifier + 1 + unless oldIdentifier = solverInitialClauseCount + 1 do + throw "solver source metadata has the wrong clause count" + unless usedSourceIdentifiers.size = newIdentifier - 1 do + throw "certificate contains an invalid source-clause identifier" + unless newIdentifier = initialClauseCount + 1 do + throw s!"expected {initialClauseCount} core clauses, got {newIdentifier - 1}" + pure { + identifiers + referenceWords := ← bitsetWords 20659 references + excludedMaskWords := ← bitsetWords 256 excludedMasks + } + +private def recodeAdditions + (core : DerivedCore) (steps : Array Addition) : + Except String (Array Addition) := do + let mut identifiers := core.identifiers + for index in [0:steps.size] do + let some addition := steps[index]? + | throw "certificate addition index is out of range" + identifiers := identifiers.insert addition.identifier + (initialClauseCount + index + 1) + let mut result := #[] + for addition in steps do + let some identifier := identifiers[addition.identifier]? + | throw "certificate addition identifier is missing" + let mut antecedents := #[] + for antecedent in addition.antecedents do + let some recoded := identifiers[antecedent]? + | throw s!"certificate uses source clause outside the committed core: {antecedent}" + antecedents := antecedents.push recoded + result := result.push { addition with identifier, antecedents } + pure result private def processOutput (executable : FilePath) (arguments : Array String) : IO IO.Process.Output := @@ -226,25 +463,33 @@ private def verifySourceCommit s!"tool at {sourceDirectory} is {actual}; expected {expected}" private def runCertificateTools - (configuration : Configuration) (directory : FilePath) : + (configuration : Configuration) (directory : FilePath) + (retired : HashMap ℕ UInt64) : IO (FilePath × FilePath × FilePath) := do verifySourceCommit configuration.cadical cadicalCommit verifySourceCommit configuration.dratTrim dratTrimCommit let cnfPath := directory / "master.cnf" let dratPath := directory / "master.drat" + let optimizedDratPath := directory / "master-optimized.drat" let lratPath := directory / "master.lrat" - IO.FS.writeFile cnfPath (← IO.ofExcept renderMasterCnf) + IO.FS.writeFile cnfPath (← IO.ofExcept <| renderMasterCnf retired) let solver ← processOutput configuration.cadical - #[cnfPath.toString, dratPath.toString] + #["-P2", "--shrink=1", "--chrono=0", "--stabilizeonly=true", + cnfPath.toString, dratPath.toString] unless solver.exitCode = 20 do throw <| IO.userError s!"CaDiCaL failed with {solver.exitCode}:\n{solver.stderr}" + let optimizer ← processOutput configuration.dratTrim + #[cnfPath.toString, dratPath.toString, "-O", "-l", optimizedDratPath.toString] + unless optimizer.exitCode = 0 do + throw <| IO.userError + s!"drat-trim optimization failed with {optimizer.exitCode}:\n{optimizer.stderr}" let converter ← processOutput configuration.dratTrim - #[cnfPath.toString, dratPath.toString, "-L", lratPath.toString] + #[cnfPath.toString, optimizedDratPath.toString, "-L", lratPath.toString] unless converter.exitCode = 0 do throw <| IO.userError s!"drat-trim failed with {converter.exitCode}:\n{converter.stderr}" - pure (cnfPath, dratPath, lratPath) + pure (cnfPath, optimizedDratPath, lratPath) private def hashOutput (executable : FilePath) (arguments : Array String) : IO (Option String) := do @@ -299,6 +544,30 @@ private def header : String := "Authors: Egor Lyfar\n" ++ "-/\n\n" +private def renderWordArray (words : Array UInt64) : String := + let lines := (chunksOf 4 words.toList).map fun line => + " " ++ String.intercalate ", " (line.map toString) + "#[\n" ++ String.intercalate ",\n" lines ++ "\n]" + +private def renderMasterFormulaData (core : DerivedCore) : String := + header ++ + "import LeanPool.Erdos97ConvexOctagon.RowSymmetry\n\n" ++ + "/-! # Generated master-formula core data -/\n\n" ++ + "namespace Erdos97Octagon.RawIncidence\n\n" ++ + "/-- Bitset of source-clause references retained in the unsatisfiable core. -/\n" ++ + "def masterReferenceWords : Array UInt64 := " ++ + renderWordArray core.referenceWords ++ "\n\n" ++ + "/-- Bitset of first-row masks retained in the unsatisfiable core. -/\n" ++ + "def masterExcludedMaskWords : Array UInt64 := " ++ + renderWordArray core.excludedMaskWords ++ "\n\n" ++ + "/-- Whether a shared clause belongs to the committed unsatisfiable core. -/\n" ++ + "def masterReferenceUsedB (reference : ℕ) : Bool :=\n" ++ + " bitSetB (masterReferenceWords.getD (reference / 64) 0) (reference % 64)\n\n" ++ + "/-- Whether a noncanonical first-row mask belongs to the committed core. -/\n" ++ + "def masterExcludedMaskUsedB (mask : ℕ) : Bool :=\n" ++ + " bitSetB (masterExcludedMaskWords.getD (mask / 64) 0) (mask % 64)\n\n" ++ + "end Erdos97Octagon.RawIncidence\n" + private def renderDataModule (moduleIndex : ℕ) (lines : List String) : String := let name := s!"masterCertificatePart{moduleIndex}" @@ -325,12 +594,14 @@ private def renderNaturalList (values : List ℕ) : String := "[" ++ String.intercalate ", " (values.map toString) ++ "]" private def renderManifest - (dataModuleCount packedByteCount encodedCharacterCount maximumVarintBytes : ℕ) + (additionCount deletionCount actionCount dataModuleCount packedByteCount + encodedCharacterCount maximumVarintBytes : ℕ) (cnfHash lratHash packedHash : String) : String := - let stageCounts := (List.range stageCount).map fun index => - stageStop index - stageStart index + let count := stageCount additionCount + let stageCounts := (List.range count).map fun index => + stageStop additionCount index - stageStart index let stageBoundaries := - (List.range stageCount).map stageStart ++ [additionCount] + (List.range count).map stageStart ++ [additionCount] let stageBoundarySplit := (stageBoundaries.length + 1) / 2 header ++ "import LeanPool.Erdos97ConvexOctagon.LRAT.Format\n\n" ++ @@ -353,7 +624,7 @@ private def renderManifest "/-- Number of generated data modules. -/\n" ++ s!"def masterCertificateDataModules : ℕ := {dataModuleCount}\n\n" ++ "/-- Number of sequential proof-stage modules. -/\n" ++ - s!"def masterCertificateStageModules : ℕ := {stageCount}\n\n" ++ + s!"def masterCertificateStageModules : ℕ := {count}\n\n" ++ "/-- Maximum retained additions reconstructed in one proof stage. -/\n" ++ s!"def masterCertificateMaximumAdditionsPerStage : ℕ := {additionsPerStage}\n\n" ++ "/-- Retained additions reconstructed by each sequential proof stage. -/\n" ++ @@ -392,7 +663,7 @@ private def renderManifest "end Erdos97Octagon.RawIncidence\n" private def renderStageModule - (dataModuleCount stageIndex : ℕ) : String := + (dataModuleCount additionCount stageIndex : ℕ) : String := let imports := (List.range dataModuleCount).map fun index => s!"import LeanPool.Erdos97ConvexOctagon.{dataModuleName index}\n" let parts := (List.range dataModuleCount).map fun index => @@ -412,17 +683,17 @@ private def renderStageModule s!" initial_clauses {initialClauseCount}\n" ++ s!" additions {additionCount}\n" ++ s!" stage_start {stageStart stageIndex}\n" ++ - s!" stage_stop {stageStop stageIndex}\n" ++ + s!" stage_stop {stageStop additionCount stageIndex}\n" ++ " clause_prefix masterCertificateClause\n" ++ " final_theorem masterFormula_unsatisfiable\n" ++ " data_parts\n" ++ String.join parts ++ "\n\nend Erdos97Octagon.RawIncidence\n" -private def renderCertificateModule : String := +private def renderCertificateModule (count : ℕ) : String := header ++ s!"import LeanPool.Erdos97ConvexOctagon." ++ - s!"{stageModuleName (stageCount - 1)}\n\n" ++ + s!"{stageModuleName (count - 1)}\n\n" ++ "/-! # Kernel-checked master coverage certificate -/\n" private def generatedDirectory (repository : FilePath) : FilePath := @@ -467,20 +738,16 @@ private def removeOrRejectObsoleteFile private def generate (configuration : Configuration) (temporaryDirectory : FilePath) : IO Unit := do + let retired ← IO.ofExcept retiredPatternMap let (cnfPath, _, lratPath) ← - runCertificateTools configuration temporaryDirectory + runCertificateTools configuration temporaryDirectory retired let lratText ← IO.FS.readFile lratPath let certificate ← IO.ofExcept <| parseCertificate lratText - unless certificate.actions = actionCount do - throw <| IO.userError - s!"expected {actionCount} LRAT actions, got {certificate.actions}" - unless certificate.deletions = deletionCount do - throw <| IO.userError - s!"expected {deletionCount} LRAT deletions, got {certificate.deletions}" - let proofAdditions := certificate.proofSteps - unless proofAdditions.size = additionCount do - throw <| IO.userError - s!"expected {additionCount} LRAT additions, got {proofAdditions.size}" + let core ← IO.ofExcept <| deriveCore retired certificate.proofSteps + let proofAdditions ← IO.ofExcept <| + recodeAdditions core certificate.proofSteps + let additionCount := proofAdditions.size + let count := stageCount additionCount for index in [0:proofAdditions.size] do let some addition := proofAdditions[index]? | throw <| IO.userError "LRAT addition index is out of range" @@ -497,7 +764,7 @@ private def generate maximumVarintByteCount initialClauseCount proofAdditions let roundTripBytes ← IO.ofExcept <| decodeBase64 encoded let roundTrip ← IO.ofExcept <| - decodeAdditions initialClauseCount additionCount roundTripBytes + decodeAdditions initialClauseCount proofAdditions.size roundTripBytes unless roundTrip == proofAdditions do throw <| IO.userError "packed certificate round trip changed an action" let packedPath := temporaryDirectory / "master.packed" @@ -505,6 +772,9 @@ private def generate let lines ← IO.ofExcept <| encodedLines encoded let lineModules := chunksOf linesPerDataModule lines let directory := generatedDirectory configuration.repository + reconcileFile configuration.mode + (directory / "MasterFormulaData.lean") + (renderMasterFormulaData core) for index in List.range lineModules.length do let lines := lineModules.getD index [] reconcileFile configuration.mode @@ -514,23 +784,25 @@ private def generate "MasterCertificateData" lineModules.length removeOrRejectObsoleteFile configuration (directory / "MasterCertificateContext.lean") - for index in List.range stageCount do + for index in List.range count do reconcileFile configuration.mode (directory / s!"{stageModuleName index}.lean") - (renderStageModule lineModules.length index) + (renderStageModule lineModules.length additionCount index) removeOrRejectExtraModules configuration - "MasterCertificateStage" stageCount + "MasterCertificateStage" count reconcileFile configuration.mode (directory / "MasterCertificateManifest.lean") - (renderManifest lineModules.length packed.size encoded.length maximumVarintBytes + (renderManifest additionCount certificate.deletions certificate.actions + lineModules.length packed.size encoded.length maximumVarintBytes (← sha256 cnfPath) (← sha256 lratPath) (← sha256 packedPath)) reconcileFile configuration.mode (directory / "MasterCertificate.lean") - renderCertificateModule - IO.println <| s!"{configuration.mode.text}: {initialClauseCount} clauses, " ++ + (renderCertificateModule count) + IO.println <| s!"{configuration.mode.text}: {solverInitialClauseCount} solver clauses, " ++ + s!"{initialClauseCount} core clauses, " ++ s!"{certificate.actions} actions, {proofAdditions.size} additions, " ++ s!"{packed.size} packed bytes, {lineModules.length} data modules, " ++ - s!"{stageCount} proof stages" + s!"{count} proof stages" private def configuration (mode repository cadical dratTrim : String) : Except String Configuration := do From eda51d8f117816e74d336156d971bb9f9ccabb33 Mon Sep 17 00:00:00 2001 From: Vasily Ilin Date: Wed, 29 Jul 2026 18:42:14 +0000 Subject: [PATCH 3/8] Pack Erdos97 certificate data more tightly --- .../MasterCertificateData0.lean | 1000 ++++++++--------- .../MasterCertificateData1.lean | 1000 ++++++++--------- .../MasterCertificateData2.lean | 1000 ++++++++--------- .../MasterCertificateData3.lean | 1000 ++++++++--------- .../MasterCertificateData4.lean | 1000 ++++++++--------- .../MasterCertificateData5.lean | 1000 ++++++++--------- .../MasterCertificateData6.lean | 1000 ++++++++--------- .../MasterCertificateData7.lean | 1000 ++++++++--------- .../MasterCertificateData8.lean | 989 ++++++++-------- .../MasterCertificateData9.lean | 312 ----- .../MasterCertificateManifest.lean | 2 +- .../MasterCertificateStage00.lean | 2 - .../MasterCertificateStage01.lean | 1 - .../MasterCertificateStage02.lean | 1 - LeanPool/Erdos97ConvexOctagon/Regenerate.lean | 2 +- 15 files changed, 4491 insertions(+), 4818 deletions(-) delete mode 100644 LeanPool/Erdos97ConvexOctagon/MasterCertificateData9.lean diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean index adde065a0..83be7f170 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData0.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 0. -/ def masterCertificatePart0 : List String := [ - "AQdiIjEzQVJxBL4Z0BbTFsEVAQYyIkFSYXEFvxnaFtYW1xa+FQEHRBQxNVFkcQS/Gb4WvBa6FQEHVBQ0QUVhcQTA", - "GcIWwRa3FQEGRBQ0UWFxBcEZxhbFFsQWtxUBB1gYISk4YXEEwBmUFpUWqhUBB1gYKDE5YXEEwRmYFpkWqBUBBjgY", - "KFFhcQXCGZwWmxadFqgVAQcrERshOmFxBcIZuxmmFaUVhhYBBysRGyExSnEFwxm8GakVphWIFgEIMREbIDtAa3sE", - "yRmkFYYXpRUBCFARGyAxO0BKCMoZxRm+GYkXiBemFaUViBYBBzARGyBLUGsEyxmNF5AXpRUBB3ARGyAwS2sEzBmM", - "F48XphUBBjoRG0phcQXIGcEZjhaNFqUVAQh7ERsgMEtrcQTOGaYVpxWSFwEHQBAhKzBrewTPGZ0XnBehFQEHeyEr", - "OkFhcQXLGcQZohWRFqMVAQZqKjE7QXEFzBnFGZMWlRahFQEHQBAgMTtrewTSGaUXphehFQEGMBAgS2t7BdMZrBep", - "F6oXoRUBBjwRHSFMcQXOGccZ+xWCFp4VAQgxER0gPV1gfQTVGZwVkRedFQEIIBEdLDBBTWAI1hnQGckZmBecFZYX", - "/xWbFQEGLBEdPFFxBdEZyhmDFoQWmxUBBUwhPFFxBtIZyxmAFv8VhhaWFQEGXh4hMT9BBdIZyxn2FfEVihUBBj4e", - "IS9BYQXTGcwZ9RXzFYcVAQtBEB4gMT1NUV9vfQjbGdQZzRmXFasXgxWEFfYVAQYuHkFRX2EF1RnOGfoV+BWEFQEF", - "Pjg8Q0UG2hnVGdQZ0BjLGIQVAQhlIjJBQ0VRcQfdGdYZ1RmAFfUW8xbdFQEHYhYjJzJSZgneGdwZ1xnVGe8W7Bb9", - "FPoUwhYBCGcWJkNRYWNxB90Z2BnWGfkUyxbJFsoVAQdyFiIyQ0d2CeAZ3hnZGdcZ9xb2FvsU+hTDFgEFZhZGU3MG", - "3xnaGdgZxRbHFvgUAQU0IykwPgbgGdsZ2BnoGPcY9xQBBTojKTA0BuEZ3BnZGesY+hj4FAEFNCMpMDwG4hndGdoZ", - "+hjrGPkUAQU6Iyk0PAbjGd4Z2xneGNYY+hQBByMqLDM5Q0cH5RnfGd0Z3Bn7FIUVhBkBBS4mKjM5BuYZ4BndGYQZ", - "jhn8FAEFZiMpYGQG4xnhGd4Z/BeHGPsUAQYzIjlSaXkG6RniGd8Z+BT5FPsWAQV2MzlwdAbkGeMZ4BnbF+gX+RQB", - "BkIYIig5UgrrGegZ5BnhGYYXgBf/FvoU+xS+FgEGUhgiOUJYCuwZ6RnlGeIZgBeHF4EX+xT8FLsWAQdCGCIoMlNZ", - "Ce0Z6hnmGeMZhheHF/oU+xTAFgEHMiMrS1JiewTuGfwW/xb1FAEHYi0yQ01SfQTvGf0WhxfsFAEJMyI5PUNNUml9", - "BvAZ6RnmGYAVghfqFAEHYiIyTVNdfQTxGYcXixfpFAEMRBQvMzU/QExPUmJkCvIZ8RnvGesZ6hnuFtsYlxXpFIQX", - "AQxEFC8zNT9ATE9SVGIK8xnyGfAZ7BnrGfAW3BiYFeoUhRcBMREVFhgbHR4gIycoKy0uMTI1OTo8P0BDRUZLTE9Q", - "UlRXWV1fYWJkZ2hrb3FzdHZ5en0Q9Rn0GfMZ8hnxGfAZ7xnuGe0Z7BnrGeoZ6RnoGecZiQgBMRAVFxgbHR4gIiYp", - "Ky0vMDM1ODo9P0FDREdKTU5RU1RWWVxfYWJlZmhrb3FydHd5e3wQ9hn1GfQZ8xnyGfEZ8BnvGe4Z7RnsGesZ6hnp", - "GegZzAQBCTMjLzk/QlJveQb2Ge8Z7BmFFesUgxcBCTMiOT9CU19veQb3GfAZ7RnmFIYVihcBB04XHURKV10E9Rm/", - "GKkUwRgBC10sPT9PUV9ha3F7BfQZ7Rn0E6EQpBYBDEUpKy0vNE1PWV1vfQX5GYISqRHxFsgQAQN2cHwI9Rn0GfMZ", - "8RnwF+YX5hLqFwEDdHB8CPYZ9RnzGfIZAfUX5hLpFwECcHwK9xn2GfUZ9BnzGQIB6RLmEu8XAQN2enwI+Bn3GfYZ", - "9BnbF+AX6RLZFwEDdHp8CPkZ+Bn2GfUZAeQX6RLbFwECfHoK+hn5GfgZ9xn2GQIB7BLpEuEXAQN2cHoI+xn6GfkZ", - "9xntF/cX7BLxFwEDdHB6CPwZ+xn5GfgZAfAX7BL8FwECcHoK/Rn8GfsZ+hn5GQIB7BLvEvYXAQ1lESMnLDU+QUdM", - "Tmp6NIUahBqDGoIagRqAGv8Z/hn9GfwZ+xn6GfkZ+Bn3Gf0ToxWvFrwWsxawFpoWoBaTFpQWzRYBwxbEFscW1BjJ", - "FcIZ4xnwE+AZ3xmqEuwUxxfaFtwW2xaUGaEY8g35DeEU5xbJGO4S1AMBDBEjJyw1PkFHTE5qejWGGoUahBqDGoIa", - 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"33HfYd9R30HfMd8h3xHfAd7x3uHewd6x0F2R3yFxnGA8cD2AQB9BfjA5Majxq+AfYXhAOrGrwWlxjzHOkcyBrzE/0X4xOW", + "FZsV5gOlHPAa/BaNG8YNAQZXFiZZaXkG9x3wHe8duhi5GOAaAQxZGCktOEtNT11fb30E9x2ZGJsVyhoBCEQRFRcbKUJdOf", + "wd+x36Hfkd+B33HfYd9R30HfMd8h3xHfAd7x3uHQi+Adwd9RccNckDygPmHNsEA5samBqZGvYXkBeHA7Qarhq/FvYc7ByA", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData1.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData1.lean index 42f75f788..76809d566 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData1.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData1.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 1. -/ def masterCertificatePart1 : List String := [ - "S01PUm99CNgd1B3NHZsXyBieGuoapRYBBl0RFRcbOSrZHdgd1R3UHdMd0h3RHdAdzx3OHc0dzB1UFJwB0xe6HZ4d", - "oR2aHZsduQQHxAP0GfIZ8BmfAbYXnRiOGowaBQQCpRMB6gPwGssWnBqmFgEIWREVFxs5QUI52x3aHdkd2B3XHdYd", - "1R3UHdMd0h3RHdAdzx3OHc0dARVVnQHUF7sdFJgBwgO/A3ucHaIdmx26BLYatxqeGPUXkxeKGo4a9BmDGcgDwQHw", - "EbAczRGIHOsY8xrOAbETlBrvHJsbtRjQGu4bxBitDAEGWBEVFxtcCdcd1B3THdId0QHAA/wV/xv7FQEGQhEVFxs5", - "Kdwd2x3aHdkd2B3XHdUd1B3THdId0B0WmgGfAdYXvR1XFwOeHbwEoR2kHZ0dxAPBAwGQGrkXoBiVFwLCHMccyhWK", - "HO0Y/xXxHNQc2hMBCkERFxs5PkNWWVwN2x3ZHdYd1R3UHdMdwgOqE4scvxjxE/Ic8hMBCzMiKj1DS01PUm99CN4d", - "2h3THdgYrBfwGqUa0BYBBTkRFRcbLt8d3h3dHdsd2h3ZHdgd1x3WHdUd1B3THdIdogHZF8AdvwQGxwPEA5MakRoE", - "lhqPGloaoB2nHYAB+hejGPkZ+xkDAgirE40cwRgB8APXHNEW7heiGgENWRgpKy80OEFPX2FvewnfHd0d+RewGsMU", - "uxTXGtka4BYBDT4RFRcbKSwvQUJKT1004h3hHeAd3x3eHd0d3B3bHdod2R3YHdcd1h3VHdQdpAHbF8IdnwECwQT8", - "GfsZvgKaGpca/halFp4ZnhvbHNEc3gO+Ga8WphoBshqzGsoB3hK3HKkQ4RaoHdMY7RugGN8bwhqqGNAMAQszERcb", - "Ijs9QlF7fQbiHdsd2R3fE/YasBYBDSIRFxgbODs9QlFZe30L4x3gHdwd2R0B/Rr8Gv4a8BjxGLMaAQxKERUXGyks", - "L0FCT10m5B3jHeId4R3gHd8d3R3cHdsd2h3YHe0BxR0FpwHeF8QEmhqdGgPfF88DqgGiGZ8Z8gHhAwGrFvgYmR3c", - "E8gXkRz8HJAXnhe6HAEHPhEVFxtBSwnjHd4d3R3cHQbCAqkWwxnVHAEGKRgnOGd3BuMd3R3cHakYqBi2GgEFUlRc", - "Z2kG4x3eHd0dkxyVHKgYAQtNERUXGyktL0FPXSXoHeYd5R3kHeMd4h3hHeAd3x3eHdwd2x3kF8kdCeIX0wODGv8Z", - "rgHIBOYX9AKbGqwWkxmHGOMc2RzWA7ga0xPkE4sVrwGVHMEQAQkvERUXGylBQl0V6R3kHeEd4B3fHd0dyh0K4xcj", - "pwHJBAGiGgUEnxfkF/cB1AOnGQEQRxEVFy0xP0FNT11fYmlvcSDqHekd6B3mHeUd4x3iHeEd4B2CEvAQ/xafG5Ub", - "lhvmF/MZ5BeJHMka2AOxFp4Yqx2tHbgdohX9D9MBoRyEG6UQAQgpERUXG0FCXTnsHesd6h3pHegd5x3mHeUd5B3j", - "HeId4R3gHd8d3h3MHQyuAeUXJakBywQCixqIGoka5heIF/cCpBqeGq8WlhncHOYc2QOoG7AX3hbHGdIBrxqcArwa", - "1AEBwRyzEOoUsR39GNQbqhiKHM0asBiADQEGLBEVFyAoB+sd5R3kHeMdox2wHbMWAQsvERUXGystQU1PXRXrHecd", - "5h3lHeQd4B3pF84dDtgDiBqEGusX+QKxFpgZmRveHNsD6gOpGgEHXREVFxtBQg7tHecd5h3lHbEBKAMCjwGsAQGk", - "HbEdtRYBCC8RFRcbKUFCLe8d7h3tHewd6h3pHegd5x3mHeUd4x3iHQHQHSnpFxDXA9QDFM8EnxqhGqMaphrtF4ka", - "zAKYGYgYsxasGd0D1gG/Gukc3xzsA/IYqRSiFOoT5xqDG6QOAQszERcbIjs/QlFrbwbwHekd5x3jFoUb7RMBDSIR", - 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"Hq8atxgCmyGhGtIg2h6ZGt8Z8B4BDmIQFR0eIDE7P0RKUWt7M+Uh5CHjIeIh4SHgId8h3iHdIdwh2yHaIdkh2CHXISkRAV", + "1Szhv0Avcb4SDtIKAesSG0HR1c2Ae5H8sF4hvqAoke/R21IK0gnCFpvh6ZFfYc2gXeHtwegyD/HM0arA0BDT8QFR0eIDE7", + "REpRa3sq5iHkIeIh4CHfId4h3SHcIdsh2CEqEgJeU/UC+BviIKEe3xu1HR5d2Qe6H+Mb6wKKHv4driCdIWr3HAGsGdcc+B", + "z5H9sFvBzNH74TAQ1TFRsdIyktNERWXGtzCuUh4iHfId4h3CH6HIogsxaHHd4eAQ5zEBUdHiAxMjtESlFrezPoIech5iHl", + "IeQh4yHiIeEh4CHfId4h3SHcIdsh2iECBCwUYFWHHoIegR6DHtEb9wL6G6Me4RvhILcdX8UavB+MHu0CpBufIb0gihsBlS", + "CQIPgegByuGfsfxh6HHb4NAQ0yEBUdHiAxO0RKUWt7Fugh4iHbIS0VYQWkHvgCIWC4HY0e3AfQBwEDhB6lG/ce+B7aHAEM", + "HhAVHSAxO0RKUWt7Eekh4iHgIVcGLhZi+QKlHmEB6hzQGsIZ5Bf2HgELRBAVHSAxO0pRa3sk6iHpIech5SHjIeEh4CEvF2", + "MHph7UG/oCI2K6HY8e8ALeB9IHoiEBnRmbGe0bggjiHogg5B67ILMglRXbGOYZ+B4BDXMQFR0eIDE7Q0pRa3s07CHrIeoh", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean index 9c59c66e2..aee1970c6 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData2.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 2. -/ def masterCertificatePart2 : List String := [ - "IZwhmyEHIf8egB+CH+QduxuSG/Ag7SAg6SC9IK4g0BkCoQL3H84dyRsbHeobiBqOH8QejRrKG/cdlBazH58epBjD", - "HdAfkwWgCAEMRRAVHSAiOz1KUWt7JaohqSGoIachpCGhIaAhnyGdIQgigB+BH4Mf5R28G5Mb8SDuICHqINEZA6IC", - "zx0BhhutG8EgF8AZuxn2GIIZhx67HpUYAQY+MDRESkwEqCGwIL8ghwIBCz0QFR0gIjtKUWt7NqwhqyGqIakhqCGn", - "IaYhpSGkIaMhoiGhIaAhnyGeIQokgh+DH4Uf5x2+G5Ub8yDwICPsIAIFpALRHfUf/R8BiBuvG6gbwyAZwh3CGaUb", - "oB6fHp4ehBm5BJYFIL0eghyJHLgfzwwBDh8QFR0gIjtFSk1OUWt7M60hrCGrIaohqSGoIachpiGlIaQhoyGiIaEh", - "oCGfIQELJZYGgx+EH+wB6B33IPYgthuPG6ME8SAk7SC5HcIgsyDUGccbqxauG/of+x3THYYa4BfuG5EekB6kGecU", - "vh7QBJkIAQgePE5RYWtxewmoIachoSGgIcYdxR3SF6kY1B0BDE4QFR0gIjtKTVFrexWvIawhqyGnIaUhpCGYBgMN", - "J4Ufhh/uAQGRG8QgtSAC9x//H9oZAQxcGCktLzk8P0VNT2gIrCGqIaMhlwfWHcob6Rf+HQEPMxUXHScpLS8wPEFF", - "TU9oFbEhriGsIakhqCGnIaYh7hqqG/YCiR/wAfYTtyABzRrjG/8b3R/TH8EcAQ5oFRcdJyktLzA8QUVNTwivIakh", - "qCGnIQHHIMIgwRcBDkUVFx0nKS0vMDxBTU9hBKohqCGxFgEBC1wVFykvOT9BQ09RBJsH2hrOG6kFAQ00EBUdICIz", - "O0pNUWt7NLUhtCGzIbIhsSGwIa8hriGtIawhqyGqIakhqCGnIRMGLQmLH4wf9AGOH7sg8B38IPkgLPUg7Rq3GyKB", - "IQKKIAHjGtEa7xznG8IEyx2fBXGnGpAexh6gGCmSHosc6AwBEH0XGx0iMztBQ0ZNUlZrcXsHtSGzIYAajxqTHsce", - "/RgBDDMQFR0gIjtKTVFreyW3IbUhsyGwIa8hriGtIawhCwgVL40fjh/2AZAf8h3+IPsgLvcg7xq5GyQCkByRHASs", - "HowgohzdHAEr+BuiGJwfAQtNEBUdICI7SlFrex24IbYhtSG0Ia8hriGtIQww8x3/IPwgL/ggAQnwGhaOH48fkR/I", - "IM0g+AfHF40g5hreGp8HAQtTJyktNEFDRWFudAy3IbMhsSGwIa8hriHcHK8e8xTbHKQWvh8BBjwbHStcewW0Ia0h", - "5x3gHc4bAQ9XFhsdJyktMztGXWRrbn0JuCG1IbEhsCHmG54e/RvxFcMfAQoiEBUdIDtKUWt7K7whuiG5IbghtiG1", - "IbMhsiGxIa8hriE09x2DIYAhMwSjAiuSH5MfEOQd+wHjHYca4xfhF9IdhiGeG9EgwiCYAuMZiiADyQTCHgGgHqEe", - 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"+RJL4hvSGmI9Mi/x8BvB6oIOEj7hEBCzUQFR0eICkyP1FrKb8lviW7JbkluCW3JbQlsiWxJQ1NIzisBLcEliOVIyeYI74L", + "/QGLJeMLBfwhzAqbH44gAdYhB40iA7QJ6iHlHusbpyPQILwh2CIBEioVFxsdHiAoMjU5P0FLaWt5eh2/Jb4luyW5Jbglty", + "W1JbQlsiWFIke3BPckhCWgIJ8gvAu/C/4BmyCsHvEftSLXIagjkxnAHMsg0CIBE28VFxgbHSg5PT9BS1FYX2FrdHoQvSW6", + "JasEtR6VIr0LwAvpG5UcqSO2CcAhvgmMH40flCQBCy0QFR0eIDI1P1FrNsIlwSXAJb8lviW9JbwluyW6JbkluCW3JbYltS", + "W0JQNQJjsPrwS6BL4LwQuAAiqbI5kjjiXmC5YilSKiIKEgAv8huB9s1x/PCpsdAeUh2SHMI7cJhR/JHoAg0CKWJKIiiSCv", + "EAEKNRAVHR4gMj9Ray3DJcElvyW9JbwluyW6JbkluCW1JVEnPBCwBLsEwguBAiucI5ojjyXnCwG6BIAi0AqSIARt+SSWIp", + "cigCD/H6MgAtohzSOGH84gqyPvG7gYlyQBCSAQFR0eMj9Ray3EJcIlwSXAJb8lviW9JbwluiW2JbEEvARSkCUoPYICESyd", + "I5sj6AsB2iTZJIEi1x+7BMAfoB+5CfskiCWYIuEgsB7nI9shtyCQGp0aziPLHpgk6B4BD10VFxsdISkqMTU9S1FZcR7DJc", + "IlwSW/Jb0lvCW7Jbgl7h6AIZUg7x6sIesi6SKuH+AbkSWEHrkk7CTvIZQisgviHpAfkR/SCK8k7xkBET0VFxsdHiEpKjE1", + "S1FZaWtxF8MlwCW/Jb4lvSW8JbsluSW4Ja8f6iKiIoUeuQu6JAGtC/Yg5CGGAc4chyHrIQEOWRAVHR4pKjI1OD9RaWsTxy", + "XEJcMlVbQEA78EryEvuguEAo4jAe8LvCSSH5Mfyx+jJAELeh4hKSoxP0tRa3kGxAvHC4YCmR74IIgBAQ5eEBUdHiExNT0/", + "UVhpayjJJcglxyXFJcMlwiXBJcAlvyW+JbwluyWwC98h4SHmIckkhgLbJF7BBLYEiyHOH/gglSWzCeQb8CTtJJAjmSKKIM", + "gchCGwI/Mh1CD0GeIiAQ1pEBUdHikqMjU4P1FrKcolySXHJcYlxCXDJcIlwSXAJb0lvCVYBsIEtwSWJTLlGwOaIocCAoMi", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData3.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData3.lean index 506ef7611..25a0febe7 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData3.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData3.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 3. -/ def masterCertificatePart3 : List String := [ - "Mjg/UVJZa3sw9iT1JPQk8yTyJPEk8CTvJO4k7STsJOsk6iTpJOgkzyHnAQHjA+4DryGOH7AhwiTrI/Ej6QqNIe0D", - "kx6bHqEg8x6ZCKMjySKbIcQKvSS2H8UfwB2IINUh3yKAI88evhABEFIQFR0eICkvMTI4P1FZa3sx9yT2JPUk9CTz", - "JPIk8STwJO8k7iTtJOwk6yTqJOkkBQLkA+8DsCGxIcMk7CPyI+4DlB6cHpoIpCO+JAHGIYggth+EIoYijRrWIdAe", - "wh6PHZwh0CPKIssimxvGH/giwBABDy8QFR0eICkxMjg/UVlreyL4JPck9STyJPEk8CTvJO4k7STrJOok6QHlA/AD", - "sSGyIe0j8yPvAwOVHgGLIJwWyyLMIqEgjyH1Hp0hxgrDF/EbjSIBAy4gKgP3JLkksQMBDTgQFR0eIDEyP1FZa3sQ", - "+CT3JPIk8STwJAjnA/IDsyG0IfUjAQKxJL4klBsBBi4XGx0iKAX5JJ4knSSjJPEeAQxeEBUdHiAyOD9Ra3s1/CT7", - "JPok+ST4JPck9iT1JPQk8yTyJPEk8CTvJO4k4wqSIZQhmSHtAekD9AOAH4EfqQvIJPEj9yPzA8wfoCGfIf4KAswh", - "zSHTIZ4jpiPYHa4fxxzQIsMkkwvCF40gjiCDIooi4yKWIMcQAQwjEBUdHiAyOD9Ra3s1/ST8JPsk+iT5JPgk9yT2", - "JPUk9CTzJPIk8STwJO8kAe4B6gP1A7YhtyGqC8kk8iP4I/QDBJoeoh6XG7QkywkFzSHOIfIIjiCPIIsilyDwH5Qh", - "piDNItEiwxfEI/EZjh+bI/Ihux/JEAEMQRAVHR4gMjg/UWt7Nf4k/ST8JPsk+iT5JPgk9yT2JPUk9CTzJPIk8STw", - "JAEC7wHrA/YDtyG4IasLyiTzI/kj9QMFxSTCJJseox6pIKEIiRuVIaIWqByCBK0cpyDPIaEjvx+cI84iiSCAFpYi", - "oyHFI80frhABCzgQFR0eIDI/UWt7J/8k/ST8JPkk+CT2JPUk9CTyJPEk7AMN9wPLJLghuSGsC/Qj+iP2AwYB0iLT", - 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"xyjRJcoouAnwIZgdmiYBDHMVHR8xMzU/Q01PcByiKaEpnymeKZ0pnCmbKZopyiS4KJgjuSjgIu0BqA+iD54I2x+3I5Yn7S", + "XnJb4k7AeEKKQjB5APAQdKEBUdP1FrIqQpoymiKaApnymdKZwpmymQASBjnwgWCJAOjgrhIqcjhSiQKAXnJbQO1SGXKAKa", + "D/kkqQ/yIQGhJ6QnmxwBBUwxMzVOCqQpoCmfKZ4pnSlimALPJM4h9CcBETwVGx0fLTEzNDpBTFJfa299EqgppymmKaMpoS", + "mfKZ4pnCnRJZkimSi6IMEi3iG9Jp8mtSbyHwEPIxUYGx0rLThFS1JcYGRrG6kppymmKaQpoimhKaApnymdKYMh9iKOD88l", + "nQ/HJ8gnkwGJHPQotibOIYMj/yWBJugj6iOOJgENMRUbHSArMz9BS0xRayapKagppymkKaIpoSmgKZ0plAHlJfQo9SjoJa", + "cPqg/NJp4PmyK2I7Mjqgm9JQNl0iICqiO0KAHsD/Ao3gPSIP0e0iH7JY4m7CMBBkQzOUFMTgeoKaQpoimhKfsn8yfXIQEO", + "dxgoNDk9P0FLUV9kb30MqympKaQpoymiKZcI1R+BJpUipCajJschAQ4jFRsdICswP0FLUWFrbyWtKasppymmKaUppCmjKa", + "ApoiKXAYgl6CVq9yj4KOsluSO7Dp4irQ+tCcAlrCSLI4chwyO1KALCJMYDAYoIhyPlI7omkCbLJAEKbxAVHSA/QUxRazev", + "Ka4prSmsKaspqimpKagppymmKaUppCmjKaIpoSmYAWsIKKcIuCOfIrcj6SX4KPkouiOrD64PrgnBJQS8DoYnriOMI7YoAw", + "H0KOID1iHOI4Ef+yeLCP0luiLuH/EjwCaVJ5Qm0iSYEQELIxAVHSA/QUxPUWs2sCmvKa4prSmsKaspqimpKagppymmKaUp", + "pCmjKaIpAZkBbAkpqAijD/Ei6iW8I/ko+ijtJawPrw+vCcAl0iaJIYUhvQ66J7gnryOuJI0jtyipJqcmjh7EJNobhCjIA4", + "MmoCTuI9gnvxEBE0MWGB0iJykzPT9BS09RX2FreH0fsCmuKa0pqympKacppimkKaEk8yK8IpoBsSPlJLAjwiapCKIp3CXw", + "HyqOI/wJ0ya4KNwhlSaUJvQj8yP/JQEKTxAVHSA/QUxRayyxKa8primrKaopqCmnKaQpmwEDbisLqgilD/MiviP7KPwo7y", + "XsJbEJwiWuD7EP1Ca/Do8juSgC5QOoDNEjAYYo1CLpI5QmsxzEJsUmwSTCJIAmAQlMEBUdID9BUWsVrSmsKaYppSksDKsI", + "nAHwJe0lrw8Epg/VJsAOAcQlvyWmI7Ij3iUBCSMQFR0gP0FRazi0KbMpsimxKbAprymuKa0prCmrKaopqSmoKacppimdAQ", + "FwLQ2sCOsiVYAjySP9KP4o8SXuJbMJsw+/I+4kpw/AJeEl1iazIbIhkSO7KOEn3yetJqwmyCTMIYUhzAOHKNMm8SC5J4Ym", + "niWDEQEKdhAVHSA/QUNRaze1KbQpsymyKbEpsCmvKa4prSmsKaspqimpKagppymeAQFxLg6tCALoA6sM/ij/KPIl7yXsIp", + "coVoEjyiOYJrQPmSa0Cfcj7ySOIvgjwCODJpwP4iWdJ4YmqA+UJIUiwCK9J8YmmiTcEAEJQxAVHSA/QVFrOLYptSm0KbMp", + "simxKbAprymuKa0prCmrKaopqSmoKQOfAXIvD64ImChXgiPLI+0i/yiAKfMl8CW1CbUPwSPwJI8iqQ/CJeMl2CaTI70owS", + "IC6QOsDMcm0CMB9yOEJpwn4hybJsAnmiTcEAEIQRAVHSA/UWs5tym2KbUptCmzKbIpsSmwKa8primtKawpqymqKakpoAFz", + "MBCvCIApgSn0JfElsw+2DwTxJIMj7iLMI54PtgnkJcEllCOqD9kmvigBiijOHrIeiiKZJrwnuCedJs8hiCHKD4smhSbrIr", + "QlrybcEAEKIxAVHSA8P09Raze4Kbcptim1KbQpsymyKbEpsCmvKa4prSmsKaspqikBoQF0MRGwCIwnkSeLJ8AjxCP5Iu8i", + "wiOCKfIlgSm3CcgloCiVKOAl3yWNIZEhqCTmIdcm1iTNIeEFrSaxJsIn8g+5IJ8mmyf4I7wRAQk8EBUdID9PUWs4uSm4Kb", + "cptim1KbQpsymyKbEpsCmvKa4prSmsKaspdTISsQgCogHBI8Uj+iLwIsMjgynzJYIpjSeSJ4wnuAnJJaEolijhJeAlqSTn", + "IeIF0SLzD6koAa8M6BzwI64mwye6IN0k3R2bJpwnsREBCSMQFR0gP09Razi6KbkpuCm3KbYptSm0KbMpsimxKbAprymuKa", + "0prCkBA6MBdjMTsgiXI7ojjieTJ40nwiPGI/sixCOEKfQlgymiKJcouQnKJbkP6CHaJtsm2SbYJI8huSP0D8QnwiezJrEm", + "gh+KJuInrhy4EQEJWRAVHSA/T1FrOLspuim5Kbgptym2KbUptCmzKbIpsSmwKa8primtKQECBKQBdzQUswjuA7EMmCO7I4", + "8nlCeOJ8MjxyP8IsUjhSn1JYQp/iOjKJgo8QS6Ccslug/yI6skuiOVIp0m6CfMJq8ciiahJ8sipxEBCE8QFR0gP1FrObwp", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean index f0426765a..c1fca57ba 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData4.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 4. -/ def masterCertificatePart4 : List String := [ - "KJAoyiLPItEivSO3J+8k7iS6DowlryebJ4QhyCKSIZof6SXOIf4nryWtJcEmlwrfINkj0SbTJcEkzQ8BDEwQFR0g", - "KjE4P0RRay7IKMcoxijFKMQowyjCKMAovyi+KL0ovCi7KDEEwAcDzwO/BwKRKMsi0CLSIrgn8CTvJLsOjSWTIQGP", - "KIwomAqKI/cb0ia9Jeoe7iPbJdMh7BybJpglpCEBB1YWJkFLcXsExiiwJbQlqSEBDUEWJjE4S01RXWJkcXsZyCjH", - "KMYoxCjAKL8o7CUB8CX1JbcOvQ7nJugm9SHCBzOKI7MlhCWII9EDgSiaJeYiAQ17EBUdICMqMTg/RFFrK8soyCjH", - "KMYoxSjEKMMowijBKL4ovSi9BQM0B8MH0gPCB4IilSiEJdwiziK7J80O8SSIIcwi1yT7H/0fAbInpyefJsgjiwfM", - "H8QksiWxJfUmlCABDCMQFR0gKjE4P0RRazXMKMsoyijJKMgoxyjGKMUoxCjDKMIowSjAKL8ovigECDXEBwfTA8MH", - "gyKVKJYozyIByA7LDpElmx+fH+4kriLVIrImxCW0JrMOwyW/Dscghg+dJNgh2CWNI6gnwB3RJp0ltiTODwERQRgb", - "HSInKTE1OERLTVFda3ERzCjJKMQowyjCKIck2B42hCLMDqAnsiH7Id4lmh2IIJ4lAQ1ZEBUdICoxOD9EUWt7NM4o", - "zSjMKMsoyijJKMgoxyjGKMUoxCjDKMIowSjAKMAFAgY3CsYHxQfVA8QLkijQIpcomCiHJd8i0SKRI74n0A70JM8i", - "2iS+IQG1J6onoibWIJsd2wvfJcck5iOrJrAlqiHBDwEMWRAVHSAqMTg/RFFrNc8ozijNKMwoyyjKKMkoyCjHKMYo", - "xSjEKMMowijBKAMHOAvHB8YH1gMKxQuTKNEimCiZKNIikiMByw7ODpQl8SSxItgitg7CDvYhoCTbIfwmtierJ+Al", - "5yOxJZEj1yaeJcMkvw8BCzgQFR0gKjE/RFFrNtAozyjOKM0ozCjLKMooySjIKMcoxijFKMQowyjCKDkMyAfHB9cD", - "C5komijTIgGnJaAloSUExguSI5EjsyWyJQjSIv0itw72JNok9yHhIsMO+ybMDpUlxCDyJdwhtyfhJdomyybBDwEM", - "TBUbHS0xMzk8RGt7FtAozyjNKMsoySjIKMcoxijEKPkk+CTDIpwhyCXJJaUgniCGB+UlhiH/IK4nAQxBEBUdICMq", - "MT9EUWs10ijRKNAozyjOKM0ozCjLKMooySjIKMcoxijFKMQoOw0OAsoHyQfZA4chxCLmI9wn2yebKJwoiSiXJQHU", - "IuMipSfUDvgksiH9IaAk0yK0JcUO7iPCIe8mySXLJeYg2w7eJfkm6w8BBkAxMzlETgfPKMsoySjIKLonryeBIQEK", - "RBAVHSAqMT9RazfUKNMo0ijRKNAozyjOKM0ozCjLKMooySjIKMcoxig9DxDMB8sH2wOdKJ4o1yIExiLeJ5klA9Yi", - "5SIB1g76JIkhoiTVIqcnxw60If8hxCG7JbYlyyXNJQKYKJYj8SaKGfsmoiX0I8YPAQY1MTNFTE4J0SjNKMwoyyjK", - "KPwjxQGhJ/sgAQkxEBUdICo/UWsr1CjTKNIo0SjQKM8ozijNKMwoyyjKKMkoyCgSPxHOB80H3QPZIgKiIpciriP+", - "JAHGAdci4iTfIpslxietI4shzCWiJ/AgviP9JuogzAuaKNoeAQkjEBUdICo/UWs41yjWKNUo1CjTKNIo0SjQKM8o", - "zijNKMwoyyjKKMkoARNAEs8HzgfeA64mrSawJqAooSi1IqUk5A3WDrki4SLgIqYfqh/dJ/IO4yS/Jr0mjijMI9gi", - "/ySqIaMiqifOJc8l2yPoGtwmqyW8I+oPARJDFhgbHyInKTM7P0FLTVhrcX0U1yjVKNQo0SjOKM0oyiiaIrEh3CO6", - "J+Ei6SXkJM8gvSW8JZojmSOmJQEIIBAVHSo/UWss2SjXKNYo1SjTKNIozyjOKMwoyyjQB+ADQhQV0QfcIqIooygC", - "zwudKAPmDa8msCayJrsi4iKSJeMi3yflJNgO2iLzIoElpSIBrCe9HqwhuyXgIQELQRshKjEzPD9MUWsT1yjVKNEo", - "0CjPKM4ogSZDzQ7jIqEl4iIUBcon7B6yB/IOwSIBDHkbHzEzP0NHS09wdAjUKNMo0SjQKM8b1w7YJrsfAQxMFRsd", - "ISoxMzw/UWsZ2CjWKNQo0ijRKM8ogyWKJYQlhA9O2A6lKKchAsMJzAGdIsQnuScBiiGxJawlhiIBDXMbHR8zOz9D", - "TU9wdHsF1ijHH98OzSaSHwEMShUbHSEqMTM/TVFrGNoo2SjXKNYo1CjTKNIopSWhJUfnItEOgiaFJuAOxw2pIZgi", - "xye8JwHYJtsm0hsBBXAbHUtNA+EO2w7wIgERKRYYGx0hLThDR0tNUV1gZGsP3SjcKNoo1ijVKIoigiWxJd8OmyD+", - "JpQjoiOUIMclAQk8EBUdKjE/UWs44SjgKN8o3ijdKNwo2yjaKNko2CjXKNYo1SjUKNMoSgjZBx2qKKsoBQOtIpgi", - "AoUmhybUDsgnvScO6iLRIaYl0SeVBvIinyGHJQG3JYQotiW4JYsohB2MHfoc4iKOI/Il/ybWJeQfgxABDl0WHSEp", - "KjEzPT9FaXl9DeAo3yjZKNgo1yiFJaIEySKJKKMjpCOMIcUlAQ1BFRsdISoxMz0/TFFrK+Eo4CjfKN4o3SjaKNko", - "2CjXKNYoiSaKJkz1J+wnrSjlDt8O8gnWDqworiGqJesi0yEd2SX9ILoltCWzJQHKDo4l7SSKItEiiyeJKMsjpSOk", - "I8YlAQxMFRsdISoxMz0/UWsY4CjfKNgo7SdWvyKtKKklqyWeBa8hAdQBpSLsIswnwSfXDogmCbkltCWzJcwkAQ1d", - "FhgdISoxMz0/TXF1E+Mo4ijhKNwo2yjaKIkl7ielBMwijCiJKOcf5B+1JbQlqCOnI8clAQgxEBUdKj9RayjlKOQo", - "4ijhKOAo2ijZKA1P3gciryiwKAXBIsMiqyWtJQL3IrIiB50ijCaKJs0n2Q7WId0l3yUBzQ6PJdYfywbmI/cloSCN", - "IPkmAQ8jFR0fISYqLTM5QlFdYX0I5ijfKN4olyKdHv8O8yW6HwEFTBUXSk4I5CjgKN8o3ijwDK4nrSfBIgELTxAV", - "HSo/QUpMUWs26SjoKOco5ijlKOQo4yjiKOEo4CjfKN4o3SjcKNsoUgMQ4QclsCWsJbMoyyKyKMQi8iLvJ5ElkQ+X", - 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"UoAbgmhyqKKoYqB7sQwwKRKNwigxOGE5QSyyrLKP4l7hIC2SmMK8YnBMImhyiYKbYWAQhBGx0gQ1FZaxiALf4s/Sy2AvEE", + "OAFuE70BtAKgBbsH/g/jLN0isyXLJ6IOhBOHE80ozCjqCwEKLRsdIClDSlFZazeJLYgthy2GLYUthC2DLYItgS2ALf8s/i", + "z9LPws+ywCtwIB8gQ51A38Jm8UvgH/D7UCzSrwDfIRoQXGE8wn/ybjLOEogCa8E+Up5CmZKOImiBOcKZ8n7intKc0o8BK2", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean index fbb988ff2..81ee692d2 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData5.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 5. -/ def masterCertificatePart5 : List String := [ - "OUJRcX0LiyyGLIUshCzUJ9Mn9hHDJ94q2yq0JAEOLRsdHyswMj1AQldZX30MjCyLLIQspiakJq0E0CjXEKUm9CqA", - "BfkjAQ8pERsdHyArMDI9QEJSXGsjkSyQLI0sjCyKLIksiCyGLIMs6yuuBJcE1CnVKaspoCmhKfgRiCWaCqMnoieQ", - "Et8o8ia+KgGQDKsm2BDNAZ8o+ir2KtkfAQ4tERsdHyAoKzAyPUJSbiWRLI8sjiyMLIssiiyJLIgshyyELIUm3Qyo", - "JsUGqgbtK+wrrwSYBKEpoimFEqMopSjFErIhrSeuJ5Im2CWTKvQo9Sj6Kp0n0CHlKAEHUhsdIDJRay2TLJIskCyP", - "LI4sjCyLLIkshSxIMwjBAfwDsASZBK0poimjKb8B7isFmCePEpISBNcn1yn6EYolAqsGrievJ/Uo9igBkgy8JqEo", - "/BD6KokkvirRIQEJQRsdNTlCUWtxDIssiiyJLP0DwgHAAQWTEu0nnAKtArkkAQcqGx0gMlFrHZUskSyPLIwLnAfD", - "AUo1Agr+A7IEmwTBAZgm3BCkDQG9DtkpqCaMJewj/Sr5KuomnyqdKssjAQlgGx0gNTlCUWsFlixL2inWKQIBCkER", - "GzU5QlFfYWsE8SeABDrLJwESLREbHR8gIys1OT1AQlNUXHN9H5UslCyTLJIskCyPLI4sjSyMLK4mrCbzK/8R/BHY", - "KNcoAq0myifvI4Ar/Cq4Hbsqrie1J/4osAb/Jv8goCoBDCkUGCM1OT1NU1RzfQyXLJUskSyQLI4sqiesJ+co/Q/5", - "JuMmkykBBjIbHSBRazGaLJkslyyWLJUslCyTLJIskSyQLI8sjSyDBMgBT8YBtwSgBPUr9CsHDzoFBPEj9COzKagp", - "gRKHIgPdKfInmRICxSgBsga1J7cn/Cj+KL0q0SamJ4Mr+CnkJgEGPBsfMGtvA6gR2gykJgEOVRsdICMpKjVDUVJZ", - "YGsznCybLJosmSyYLJcsliyVLJQskyySLJEskCyPLI4s/SbNJYUEygFRApQmkwujB48SyAHgKdwpAcMnvCm7Kfol", - "9yv2K/EhnCfjEIMphCmHKd8o4iqYI64mpSjrKIEqwSiqJeoUAQ1ZGx0gIykqNUNRUmBrF50smCyVLJQskiyRLIYE", - "ywFSA5QLpAeQEskB4SkCxCf7JfIh5BDgKNsPAQEPexsdIykvOz1BQ0RMa3F5DposlyyWLJUslCyTLLAm1yivJ+Qq", - "5yqXH5ojhSoBDCkbHSAjKjVDUVJgax+fLJ0smyyXLJYslCyIBM0BVJYLpgcFkhLLAeMp3ykExieRJvkrnyf9JeYQ", - "Au8o8CgBnhLWIs0imikBCyMbHSAqNUNRUmBrGqAsniycLJgslyyWLJUsiQTOAVWXCwaTEswB5CkFxyeSJvoroCcB", - "1yv3KL4n9SHpKgELcxEbHz5BQ1FZcXsHmiyZLJYskyy7IIIesCgBEVkbHSIpKi8zNT5BQ1FSYGtxGaEsnSycLJos", - "mSyXLJYsiwTQAZUSzgH3IdEp5SjpKFcHAbMp5yPHJ7UquiaJEq8eAQt7Gx0gKjVDUVJgazajLKIsoSygLJ8sniyd", - "LJwsmyyaLJksmCyXLJYslSyMBNEBWJoLqgcJlhLPAecpyieVJgj9K/4rA5kP5yvjKfwn6ij+JeEPtSYB8yj0KOQm", - "5SaGKYUpriSKEsgorCiVIZ4pwSrHJ9IUAQpSGx0gKjVDUWBrHqQsoiygLJ8snCybLJksmCyNBNIBWZsLqwcKlxLQ", - "AegpyyeWJv4rAaMS5yj5Ifso9Cj1KNsi0iKfKQEJNRsdICpDUWBrE6UsoCydLJwsmiyZLFoL0wGOBOkpzCfRAQGe", - "Issn6CjsKOMPARNZGx0nKCotMDQ9PkFDRkxRUmtxIqQsoiyhLKAsniydLJssmiyZLI8E1AG+BO0Q0gGALPshzinV", - 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a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData6.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData6.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 6. -/ def masterCertificatePart6 : List String := [ - "xi/FL8Qvwy/CL8EvKRJCCLMBGaovuRWzFccpMw3cJagpsgGNLY4tYKkvuCy5LLosAYks1SqqK78VhCvBCZYrsCer", - "J9gtgCcEnSnNKZoqzg+SLsksjirzGAEMUxQYGyMpKy01OURdBsgvxS/jKrQBtBPiJwERTBEbHyAjKSsxMkBDREtd", - "YXEZ0C/NL8svyS/IL8cvxi+uLsEItQE1D90pgAWrL9APAc4h3izxJOoq4yrTLdItyCgBBiARGx8jUCXSL9Evzi/K", - "L8kvyC/HL7YBRSwcAxULvBW2FYEFrS9jrC82ELUBkC2RLQGgKdAp0Q+uLuYg9CG2E8wn3yzLH78HAQorERshIzND", - "S2FxAt0qjBYBCDMVFzE9QUNOCdAvzC/LL8ovyS+mKYAomy7mIwELehEbHyMoM0VLTFA21S/UL9Mv0i/RL9Avzy/O", - "L80vzC/LL8ovyS/IL8cv0RXUFUi5AbMvA78VuRWBFvgrrin8KoYo9Cz1LPYssC9t1CmcK8UImBacFNoukC3IFN8q", - "lyyVC8wovQKYLqgsky7NItMsvS3jKLUZAQpMERsfIygzRUtQJdYv1S/UL9Iv0C/OL80vzC/LL8kvSboBtC8EwBW6", - 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"s8UDHZNNc01jTVNNM00jTQNM80zjTLNAYSL84Bwxq9Gnu9Bv0C/AKjNKU0Acka9TDyMPAwijDULqEypxrAFQLaM7ETvy6L", + "L5Qb3i2rMdYryiy2MbYzwy/hMv0nzzHKJgEEPhEVGzbZNNg01zTWNNU01DTTNNI00TTQNM80zjTNNMw0oRYJ9RNBvgb+Aj", + "/dM7g0iArfM9wzthvzMPQw+TD1MMca7S6GMNcN8C6cMewu/zCHLtIx0DG/LIsqnjShNPgr+i7gMqgx1S2CL5svvjEBBjgb", + "LTs8UCXbNNg01zTTNNI00TTQNBQMCAIx0AHFGr8afb8G/wLVM8gazhoipDIL/gLnKp4OpzRg4jDuLawxwxjYJKIzoDO2Lw", + "EBGgjbNAjUE6EWebA0xwy0GwEELTs8UDDdNNs02jTZNNc01jTVNNQ00zTSNNA0zzQBwQYWDgSBA9IBxxrBGn8zyhrQGiSm", + "MqMygAOpNAIKnwH8MPgw0zPYLpEtly2EMYc0jy+kLqYz1g0fliSwMQEKeR8nKStDRUtPfAnXNNQ00zQCny/dGr4rxTK6Kw", + "EENBEfMgQDwwblDMMFAQVZOzxQbzzgNN803jTdNNw02zTaNNk02DTXNNY01TTUNNM00jQExAYDGRE2hAPVAcoaxBqCAZUB", + "jjGMMaAQgwPnEKw0qjTlDsYu5zCPMNoz5BOpMqYy+yrfK+wqhzSjL6EvvTGiL8ov/TLiJKMxqDP+GdMyri/2MdQhAQRvOz", + "xQIuE03jTdNNs02TTYNNc01jTUNAXFBhoSN4UD1gHFGoMBhAOtNAHJGASWAY8xoRDmDugQxy6QMNszsjGqMt4kAQM7PFAw", + "4jThNN803jTdNNw02zTaNNk02DTWNNU01DQGxgY4hgPXAcwaxhqEAYUDrDQB0hrVGv4w+zD5MBuTMKoysTATpTEJkDGtLq", + "4uzDP7LcoY5w7ILtwz/Sr5Ma8pAQNvPFA+4zTiNOE04DTfNN403TTcNNs02jTZNNg01zTWNNU0B8cGATmHA9gBzRrHGoUB", + "qTHwGaoxqDGGAyOvNKgCrTSnDNUOuxOBK5Uvny3NE4Y0kjDqMKwyqTL1KuAr2zPCLyXLGJkztzG3LOAkijGqM+AY1jLWMf", + "gx4SABBDQRHzgECMgG/AyvBAECPFA/5TTkNOM04jThNOA03zTeNN003DTbNNo02TTYNNc0CckGiQPaAc8ayRqIAwLVGtga", ] end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean index f118a4dd7..b90c7223b 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData7.lean @@ -12,506 +12,506 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 7. -/ def masterCertificatePart7 : List String := [ - "Jzs8UFNqJ4wzijOJM4gzhzOFM4QzgzOCM4AzhS2qLvEE8RgC9xixAf0YsAH6EaUs1jLvLAG+KpUvwzHRK4cyowH3", - "EbsvmS6bMJUrqy72F9UxvisBCjUnKS05QEpNYmoVijOJM4gzhTODM4IztxWKA9Iv9xf+GM8v7i2UMdgv8gSkLc0T", - "1C3sMZYoAQkjFhsnOzxQU2odjTOMM4ozhzOGM4UzgzPzBPMYBPkYswH8GLIB/BGnLAPTKwLSDIUyadEv0y/oLcMQ", - "5wqEML4oAQgoGyIrLjFOYRCOM4kzgjPSMrIy9ASuL6IvpS+hL9sTuS61MIAMngSlLQELSxsfISsxO01TWV0L6C7O", - "L/UE/hiZK7IKvgS1MN0stQG0AQEMKxYbJy47PE5QU1ZqII0zjDOLM4gzhzOGM4UzhDMD9gSwL6Qv9hgHtgH/GAa1", - "AaosyDECwDK+L8AvAdAvtSnnLt0rjDGPMdMtAQo4FhsnOzw/UFNqHpEzkDONM4oziTOIMwT3BPcYCP0YtwGAGYMZ", - "tgGAEsQq9SwHjTLCLoormy8B0w62MrwV9SrxKpkxAQk/FhsnOzxQU2oWjjOLM4ozBfgE+BgJ/hi4AYEZhBm3AYES", - "xSoIwy4BjSyxB5oxnTH2KgEJTRsxM0NEUFNZDJEzjTOLM4oz+QT5GP8YnSuuLO8x3THBKwELKBgbHyI4PD5QU2IT", - "lTOTM5IzjjONM4sz6y/tLwqEMoAZoi6rMKgwvS4BqAjuCYYrAQs4GBsfIic8PlBTahaUM5EzkDOKM4kzhTIL+wT7", - "GAyBGYQZhxnIKgGTA8UvlS2sL5QskSydMQEMLBgbIicxOTxQU2JqIZgzlDOSM5AzjzOOM40zizPEL8Uvxi/8BA2C", - "GbwBhRmIGaYZ1Cu1B7sBtimoLpUshRLsL9MZozGWLbkK4DCQEPUqAQgnFhs7PFBTaiKXM5IzkDOPM44zizP9BP0Y", - "DoMZvQGGGYkZvAGGEsoq4jINBQoC1SsBmi2uL7wyly3kE4sDvjDUGdosiSvGBAEKOBYbIyY7PD9QUxKXM5UzkjOP", - "M/4E/hiEGb4BvQGHErIs4zL8LMYClDKtLpEr0DEBCT8WGyM7PFBTahCZMwL/BBC/AYgZixm+AYgSD8ouAbEB2w62", - "MootAQgrGx8jJihQUwmaM4AFgBmGGcABvwGzK5srtzIBBygbHyMmUFMHmzOBGYcZAboyuTK4LAEIIxYbOzxQU2oS", - "mzOWM5UzlDOTMwWCBRPCAcEBixIBEgP2B9grsi6UMgEFKBsfIiYGnTPHMskyyDKDBZItAQk/Gx8iJjFQYW8lnjOc", - "M5szmjOUM5Mz1S6EBQGWFoQZihnDAc8uny24LOkyxTLGMusTxTCuBLUtxy+QDLQt8SuqLeEs3y/9MbYqpizkMeMx", - "7y+JKwELKxgbHyImOzxQU2odoTOeM5gzlzOWMxWFBZcWhRnFAY4ZkRnEAesyApAtQAGPMuQMrSnpMK8E3Rn8Lc4E", - "9wKpK5EMAQdqFhs7PFBTDqAzhgWGGYwZxgHFAY8S6zIECQHJMsgyoy0BCkMWGyMnOz9QU3kZoDOfM5szmTOYM8Eu", - "xDCbLcAuhwWNGccBhzCIMMYBkBLhLewyhS33L/kvqQv4KaAqnxkBCT8WGyMnOzxQUySjM6EzoDOfM54znDObM5oz", - "mTOcLcEuAogFiBkZjhnIAccBkRK8LO0yhi0YuiraMegrlxmeMqks9i+wLgGyMMgowC6lMQEHIxYbOzxQUyGiM6Az", - "nzOdM5wzmjMDiQWJGRqPGckByAGSEr0sGSq7KoctmBn7LgEIuC7bMZwrnzKLLaos5Q7UKNsorTEBCC0bHzs8UFNr", - "H6QzoTOgM58znjOdM5ozmTOYMxorigWKGRuQGcoBry2nLckBmRm3L4gtviyxJfwusC2kLZww6S/NL/ErAQtLFRsx", - 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a/LeanPool/Erdos97ConvexOctagon/MasterCertificateData8.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateData8.lean @@ -12,506 +12,495 @@ namespace Erdos97Octagon.RawIncidence /-- Packed certificate data part 8. -/ def masterCertificatePart8 : List String := [ - "phypHPoykAP4MusxxTCgHAHFM90xyjGJM4gz3QipD7QByjCWNLIoxDSlKwEKTBQWICMrOD9HYje6Nrk2uDa3NrY2", - "tTa0NrM2sjaxNrA2rzauNq02rDbeAZ4IVwEe3QSpDgPQCNgxkzCtMP0c1gGXBscwpxyqHKwG5TLkMugy2zOwMdkz", - "+TLsMe8x/jGqD48sizOKM+Q04TSmMsU0oDOWMcsfAQtpFBYgIys4P0dUYja7Nro2uTa4Nrc2tja1NrQ2szayNrE2", - "sDavNq42rTbfAZ8IWAIBH94Eqg4E0QjZMZQwrjD+HNcBmAbIMKgcqxy4M7cz3DOxMdoz/DKSA/oy7THwMckvlzHl", - "NNwNzDCiHOc0oTPTLscfAQpUFBYgIys4P0diN7w2uza6Nrk2uDa3NrY2tTa0NrM2sjaxNrA2rzauNuABoAhZAwIg", - "3wSrDgXSCNoxlTCvMP8c2AGZBskwqRysHLkzuDPdM7Ix2zP9MpMD+zLuMfEx5jTdDc0woxzoNNQuAcI0izOmMskf", - "AQtnFBYgIys4P0diaTa9Nrw2uza6Nrk2uDa3NrY2tTa0NrM2sjaxNrA2rzbhAaEIWssvAQMh4ASsDgbTCOYYqiyw", - 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All rights reserved. -Released under Apache 2.0 license as described in the file LICENSE. -Authors: Egor Lyfar --/ - -import LeanPool.Erdos97ConvexOctagon.LRAT.Format - -/-! # Generated packed master-certificate data -/ - -namespace Erdos97Octagon.RawIncidence - -/-- Packed certificate data part 9. -/ -def masterCertificatePart9 : List String := [ - "pjmlOaQ5ozkNCpY0ijCPN9E0AQY0K0RLdHYOrDmrOaU5pDnSBA4LpjalNpk0mDSLNow26zMBB3U0REZWXX0grjmt", - "Oaw5qjmpOaY5pTmjOaI50wSTC8wDDwz5OPs4jiDfDpg0+jGPNow27TXuNfE1pTOZNKg2hDLQEL4a3TUBAj4hEa85", - "qTmiOdQElAvNAxAN+jj8OI8g4A6dH6AfzzXKNdw0AQpkJj0/Rl1fYnF7ErA5rjmrOdUElQvOAxEO+zj9OJAg4Q6e", - "H6EfvDesMpE2mSwBCmcmMzs/QURKT1YgsTmvOa05rDmrOak5qDmnOaY51gSWC88DEg/8OP44kSDiDp8foh/wNZw0", - "rjKMGpI2tDKbNPwxnTC7N5c38DMBAzotfQ+yOa45pznXBJcL0AMTEP04/ziSIOMO8jX5NcczAQZ9O0xfcXsRszmu", - "Oac52ASYC9EDFBH+OIA5kyDkDqEfpB/aL8Yz3DUBBisvOz9MTwy0OdkEmQvSAxUS/ziBOZQg5Q6nCbwzAQdiJykt", - 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b97101d06..efb416e54 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateManifest.lean @@ -32,7 +32,7 @@ def masterCertificatePackedBytes : ℕ := 316443 def masterCertificateEncodedCharacters : ℕ := 421924 /-- Number of generated data modules. -/ -def masterCertificateDataModules : ℕ := 10 +def masterCertificateDataModules : ℕ := 9 /-- Number of sequential proof-stage modules. -/ def masterCertificateStageModules : ℕ := 3 diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean index 64c8bc7e8..1a164f180 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage00.lean @@ -14,7 +14,6 @@ import LeanPool.Erdos97ConvexOctagon.MasterCertificateData5 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData6 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData7 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData8 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData9 /-! # Master-certificate proof stage 0 -/ @@ -37,7 +36,6 @@ master_lrat_stage masterCertificatePart6 masterCertificatePart7 masterCertificatePart8 - masterCertificatePart9 end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean index ad002ecd3..2e8a48dc2 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage01.lean @@ -27,7 +27,6 @@ master_lrat_stage masterCertificatePart6 masterCertificatePart7 masterCertificatePart8 - masterCertificatePart9 end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean index 11da2192b..bdf0ae21b 100644 --- a/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean +++ b/LeanPool/Erdos97ConvexOctagon/MasterCertificateStage02.lean @@ -27,7 +27,6 @@ master_lrat_stage masterCertificatePart6 masterCertificatePart7 masterCertificatePart8 - masterCertificatePart9 end Erdos97Octagon.RawIncidence diff --git a/LeanPool/Erdos97ConvexOctagon/Regenerate.lean b/LeanPool/Erdos97ConvexOctagon/Regenerate.lean index d0cb51fc3..3403c19e7 100644 --- a/LeanPool/Erdos97ConvexOctagon/Regenerate.lean +++ b/LeanPool/Erdos97ConvexOctagon/Regenerate.lean @@ -39,7 +39,7 @@ private def dratTrimCommit := private def solverInitialClauseCount := 6582 private def initialClauseCount := 3263 private def additionsPerStage := 1432 -private def encodedLineWidth := 88 +private def encodedLineWidth := 94 private def linesPerDataModule := 500 private def stageCount (additionCount : ℕ) : ℕ := From 9f7874d192169a3d59f4177fb4190c2cfaf9f710 Mon Sep 17 00:00:00 2001 From: Vasily Ilin Date: Wed, 29 Jul 2026 18:43:31 +0000 Subject: [PATCH 4/8] Regenerate LeanPool imports --- LeanPool.lean | 22 +--------------------- 1 file changed, 1 insertion(+), 21 deletions(-) diff --git a/LeanPool.lean b/LeanPool.lean index bbeb92085..fc88bc1a4 100644 --- a/LeanPool.lean +++ b/LeanPool.lean @@ -844,13 +844,6 @@ import LeanPool.Erdos97ConvexOctagon.Main import LeanPool.Erdos97ConvexOctagon.MasterCertificate import LeanPool.Erdos97ConvexOctagon.MasterCertificateData0 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData1 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData10 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData11 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData12 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData13 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData14 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData15 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData16 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData2 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData3 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData4 @@ -858,25 +851,12 @@ import LeanPool.Erdos97ConvexOctagon.MasterCertificateData5 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData6 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData7 import LeanPool.Erdos97ConvexOctagon.MasterCertificateData8 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData9 import LeanPool.Erdos97ConvexOctagon.MasterCertificateManifest import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage00 import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage01 import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage02 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage03 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage04 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage05 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage06 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage07 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage08 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage09 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage10 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage11 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage12 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage13 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage14 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage15 import LeanPool.Erdos97ConvexOctagon.MasterFormula +import LeanPool.Erdos97ConvexOctagon.MasterFormulaData import LeanPool.Erdos97ConvexOctagon.Obstructions import LeanPool.Erdos97ConvexOctagon.Pentagon import LeanPool.Erdos97ConvexOctagon.Radius From 449056c33f9124ec1f6fa98976e01c32df9fb614 Mon Sep 17 00:00:00 2001 From: Vasily Ilin Date: Wed, 29 Jul 2026 18:45:50 +0000 Subject: [PATCH 5/8] Pre-resolve the registry union with main --- LeanPool.lean | 10 ++++++ LeanPool/projects.yml | 80 ++++++++++++++++++++++++++++++++++++++++--- 2 files changed, 85 insertions(+), 5 deletions(-) diff --git a/LeanPool.lean b/LeanPool.lean index fc88bc1a4..afea30c32 100644 --- a/LeanPool.lean +++ b/LeanPool.lean @@ -163,7 +163,12 @@ import LeanPool.Biswal.Theorem1 import LeanPool.Biswal.Theorem23 import LeanPool.BooleanIsoperimetry import LeanPool.BooleanIsoperimetry.Cascade +import LeanPool.BooleanIsoperimetry.CoherentGap import LeanPool.BooleanIsoperimetry.Compression +import LeanPool.BooleanIsoperimetry.ConwayGuyCoherentGap +import LeanPool.BooleanIsoperimetry.ConwayGuyHeight +import LeanPool.BooleanIsoperimetry.ConwayGuyOrderBridge +import LeanPool.BooleanIsoperimetry.ConwayGuyRigidity import LeanPool.BooleanIsoperimetry.Cube import LeanPool.BooleanIsoperimetry.Harper import LeanPool.BooleanIsoperimetry.KruskalKatona @@ -879,6 +884,11 @@ import LeanPool.Erdos97ConvexOctagon.ResidualObstructions import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives import LeanPool.Erdos97ConvexOctagon.RhombusFan import LeanPool.Erdos97ConvexOctagon.RowSymmetry +import LeanPool.ErdosMoser +import LeanPool.ErdosMoser.Basic +import LeanPool.ErdosMoser.Bounds +import LeanPool.ErdosMoser.DiscreteVariance +import LeanPool.ErdosMoser.SubsetSums import LeanPool.ErdosTuzaValtr import LeanPool.ErdosTuzaValtr.All import LeanPool.ErdosTuzaValtr.Config.Default diff --git a/LeanPool/projects.yml b/LeanPool/projects.yml index 7e0383bbb..429cd0656 100644 --- a/LeanPool/projects.yml +++ b/LeanPool/projects.yml @@ -1,37 +1,53 @@ projects: - slug: boolean-isoperimetry - title: Harper's Vertex-Isoperimetric Theorem on the Boolean Cube + title: Boolean Isoperimetry and Conway--Guy Coherent Gaps summary: >- Formalizes Harper's vertex-isoperimetric theorem for the Boolean cube: among all families of a fixed cardinality, the simplicial initial segment has the smallest closed radius-one Hamming neighborhood. Develops the supporting binomial-cascade identities, Kruskal--Katona shadow bounds, - coordinate compressions, and the final dimension induction. - branch: extremal combinatorics + coordinate compressions, and the final dimension induction. Applies the + coherent-gap certificate method to prove normalized consecutive-gap + rigidity for the Conway--Guy sequence from its exact recurrence. + branch: extremal and additive combinatorics entry_module: LeanPool.BooleanIsoperimetry authors: - Alexey Milovanov + - Egor Lyfar source: - title: Optimal numberings and isoperimetric problems on graphs + title: >- + Optimal numberings and isoperimetric problems on graphs; A sum packing + problem of Erdős and the Conway--Guy sequence authors: - L. H. Harper + - Tom Bohman doi: "10.1016/S0021-9800(66)80059-5" + url: "https://doi.org/10.1090/S0002-9939-96-03653-2" github_repo: AlexeyMilovanov/BooleanIsoperimetry license: Apache-2.0 status: verified provenance: AI main_declarations: - BooleanIsoperimetry.harper_theorem + - BooleanIsoperimetry.conwayGuyGapRigidity main_results: - declaration: BooleanIsoperimetry.harper_theorem informal: >- For every family of vertices in an n-dimensional Boolean cube, the simplicial initial segment of the same cardinality has a closed radius-one Hamming neighborhood no larger than that of the family. + - declaration: >- + BooleanIsoperimetry.conwayGuyGapRigidity + informal: >- + In every dimension, any real row whose consecutive subset-sum gaps + relative to the Conway--Guy reference row are at least one dominates + that row coordinatewise. tags: - - extremal-combinatorics + - additive-combinatorics - isoperimetry - boolean-cube + - subset-sums + - coherent-orders msc: - "05D05" - "05C35" @@ -5450,3 +5466,57 @@ projects: - "65L06" - "65L05" - "05C05" + - slug: erdos-moser-distinct-subset-sums + title: Leo Moser's finite distinct-subset-sums inequality + summary: >- + Formalizes the exact finite sum-of-squares inequality that Guy's 1982 + account states as Theorem 2 and attributes to Leo Moser: a finite set A + of natural numbers with distinct subset sums satisfies + 4^|A| - 1 <= 3 * sum(a^2). It then derives direct and square-root lower + bounds for the largest element of A. This does not claim the stronger + historical asymptotic bound attributed jointly to Erdős and Moser, and + Erdős Problem 1 remains open. + branch: additive combinatorics + entry_module: LeanPool.ErdosMoser + authors: + - Egor Lyfar + source: + title: Sets of Integers Whose Subsets Have Distinct Sums + authors: + - Richard K. Guy + doi: "10.1016/S0304-0208(08)73500-X" + url: https://www.erdosproblems.com/1 + github_repo: lyfar/erdos-moser-distinct-subset-sums-lean + license: Apache-2.0 + status: verified + provenance: AI + main_declarations: + - LeanPool.ErdosMoser.leoMoserVarianceBound + main_results: + - declaration: LeanPool.ErdosMoser.leoMoserVarianceBound + informal: >- + If a finite set A of natural numbers has distinct subset sums, then + 4^|A| - 1 is at most three times the sum of the squares of the + elements of A. + source_ref: >- + Richard K. Guy, "Sets of Integers Whose Subsets Have Distinct + Sums," Theorem 2 (credited there to Leo Moser), Annals of Discrete + Mathematics 12 (1982), 141-154, + doi:10.1016/S0304-0208(08)73500-X. + - declaration: LeanPool.ErdosMoser.erdosMoserMaxBound + informal: >- + For a nonempty finite set A of natural numbers with distinct subset + sums, 4^|A| - 1 is at most 3|A| times the square of its largest + element. + - declaration: LeanPool.ErdosMoser.erdosMoserMaxSqrt + informal: >- + The equivalent square-root lower bound on the largest element: + sqrt((4^|A| - 1)/(3|A|)) is at most max(A). + tags: + - additive-combinatorics + - number-theory + - distinct-subset-sums + - erdos-problems + msc: + - "11B13" + - "11B75" From e46191bfe8dd1a8d10a5c5ec486434470e752720 Mon Sep 17 00:00:00 2001 From: Vasily Ilin Date: Wed, 29 Jul 2026 18:46:23 +0000 Subject: [PATCH 6/8] Align the generated index with main --- LeanPool.lean | 89 --------------------------------------------------- 1 file changed, 89 deletions(-) diff --git a/LeanPool.lean b/LeanPool.lean index afea30c32..3aa9b6191 100644 --- a/LeanPool.lean +++ b/LeanPool.lean @@ -795,95 +795,6 @@ import LeanPool.Erdos403 import LeanPool.Erdos403.Basic import LeanPool.Erdos403.FactBase import LeanPool.Erdos403.Sharp -import LeanPool.Erdos97ConvexOctagon -import LeanPool.Erdos97ConvexOctagon.Basic -import LeanPool.Erdos97ConvexOctagon.CayleyMenger -import LeanPool.Erdos97ConvexOctagon.Certificates -import LeanPool.Erdos97ConvexOctagon.Classification -import LeanPool.Erdos97ConvexOctagon.CoverageBranches -import LeanPool.Erdos97ConvexOctagon.CoverageData -import LeanPool.Erdos97ConvexOctagon.CoverageData00 -import LeanPool.Erdos97ConvexOctagon.CoverageData01 -import LeanPool.Erdos97ConvexOctagon.CoverageData02 -import LeanPool.Erdos97ConvexOctagon.CoverageData03 -import LeanPool.Erdos97ConvexOctagon.CoverageData04 -import LeanPool.Erdos97ConvexOctagon.CoverageData05 -import LeanPool.Erdos97ConvexOctagon.CoverageData06 -import LeanPool.Erdos97ConvexOctagon.CoverageData07 -import LeanPool.Erdos97ConvexOctagon.CoverageData08 -import LeanPool.Erdos97ConvexOctagon.CoverageData09 -import LeanPool.Erdos97ConvexOctagon.CoverageData10 -import LeanPool.Erdos97ConvexOctagon.CoverageData11 -import LeanPool.Erdos97ConvexOctagon.CoverageData12 -import LeanPool.Erdos97ConvexOctagon.CoverageData13 -import LeanPool.Erdos97ConvexOctagon.CoverageData14 -import LeanPool.Erdos97ConvexOctagon.CoverageData15 -import LeanPool.Erdos97ConvexOctagon.CoverageData16 -import LeanPool.Erdos97ConvexOctagon.CoverageData17 -import LeanPool.Erdos97ConvexOctagon.CoverageData18 -import LeanPool.Erdos97ConvexOctagon.CoverageData19 -import LeanPool.Erdos97ConvexOctagon.CoverageData20 -import LeanPool.Erdos97ConvexOctagon.CoverageData21 -import LeanPool.Erdos97ConvexOctagon.CoverageData22 -import LeanPool.Erdos97ConvexOctagon.CoverageData23 -import LeanPool.Erdos97ConvexOctagon.CoverageData24 -import LeanPool.Erdos97ConvexOctagon.CoverageData25 -import LeanPool.Erdos97ConvexOctagon.CoverageData26 -import LeanPool.Erdos97ConvexOctagon.CoverageData27 -import LeanPool.Erdos97ConvexOctagon.CoverageData28 -import LeanPool.Erdos97ConvexOctagon.CoverageData29 -import LeanPool.Erdos97ConvexOctagon.CoverageData30 -import LeanPool.Erdos97ConvexOctagon.CoverageData31 -import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes -import LeanPool.Erdos97ConvexOctagon.CoverageFormula -import LeanPool.Erdos97ConvexOctagon.CycleStrip -import LeanPool.Erdos97ConvexOctagon.EquidistantFour -import LeanPool.Erdos97ConvexOctagon.FiniteModel -import LeanPool.Erdos97ConvexOctagon.GeometryReduction -import LeanPool.Erdos97ConvexOctagon.Gram -import LeanPool.Erdos97ConvexOctagon.Incidence -import LeanPool.Erdos97ConvexOctagon.LRAT.Elab -import LeanPool.Erdos97ConvexOctagon.LRAT.Format -import LeanPool.Erdos97ConvexOctagon.LRAT.Semantics -import LeanPool.Erdos97ConvexOctagon.Main -import LeanPool.Erdos97ConvexOctagon.MasterCertificate -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData0 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData1 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData2 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData3 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData4 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData5 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData6 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData7 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateData8 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateManifest -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage00 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage01 -import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage02 -import LeanPool.Erdos97ConvexOctagon.MasterFormula -import LeanPool.Erdos97ConvexOctagon.MasterFormulaData -import LeanPool.Erdos97ConvexOctagon.Obstructions -import LeanPool.Erdos97ConvexOctagon.Pentagon -import LeanPool.Erdos97ConvexOctagon.Radius -import LeanPool.Erdos97ConvexOctagon.Regenerate -import LeanPool.Erdos97ConvexOctagon.Relabelling -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra00 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra01 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra02 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra03 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra04 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra05 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra06 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra07 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra08 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra09 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra10 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra11 -import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra12 -import LeanPool.Erdos97ConvexOctagon.ResidualObstructions -import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives -import LeanPool.Erdos97ConvexOctagon.RhombusFan -import LeanPool.Erdos97ConvexOctagon.RowSymmetry import LeanPool.ErdosMoser import LeanPool.ErdosMoser.Basic import LeanPool.ErdosMoser.Bounds From d1eba476c8e37f1f4a9e2159e7f50f13c40ebe04 Mon Sep 17 00:00:00 2001 From: Vasily Ilin Date: Wed, 29 Jul 2026 18:46:55 +0000 Subject: [PATCH 7/8] Restore the generated project imports --- LeanPool.lean | 89 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 89 insertions(+) diff --git a/LeanPool.lean b/LeanPool.lean index 3aa9b6191..afea30c32 100644 --- a/LeanPool.lean +++ b/LeanPool.lean @@ -795,6 +795,95 @@ import LeanPool.Erdos403 import LeanPool.Erdos403.Basic import LeanPool.Erdos403.FactBase import LeanPool.Erdos403.Sharp +import LeanPool.Erdos97ConvexOctagon +import LeanPool.Erdos97ConvexOctagon.Basic +import LeanPool.Erdos97ConvexOctagon.CayleyMenger +import LeanPool.Erdos97ConvexOctagon.Certificates +import LeanPool.Erdos97ConvexOctagon.Classification +import LeanPool.Erdos97ConvexOctagon.CoverageBranches +import LeanPool.Erdos97ConvexOctagon.CoverageData +import LeanPool.Erdos97ConvexOctagon.CoverageData00 +import LeanPool.Erdos97ConvexOctagon.CoverageData01 +import LeanPool.Erdos97ConvexOctagon.CoverageData02 +import LeanPool.Erdos97ConvexOctagon.CoverageData03 +import LeanPool.Erdos97ConvexOctagon.CoverageData04 +import LeanPool.Erdos97ConvexOctagon.CoverageData05 +import LeanPool.Erdos97ConvexOctagon.CoverageData06 +import LeanPool.Erdos97ConvexOctagon.CoverageData07 +import LeanPool.Erdos97ConvexOctagon.CoverageData08 +import LeanPool.Erdos97ConvexOctagon.CoverageData09 +import LeanPool.Erdos97ConvexOctagon.CoverageData10 +import LeanPool.Erdos97ConvexOctagon.CoverageData11 +import LeanPool.Erdos97ConvexOctagon.CoverageData12 +import LeanPool.Erdos97ConvexOctagon.CoverageData13 +import LeanPool.Erdos97ConvexOctagon.CoverageData14 +import LeanPool.Erdos97ConvexOctagon.CoverageData15 +import LeanPool.Erdos97ConvexOctagon.CoverageData16 +import LeanPool.Erdos97ConvexOctagon.CoverageData17 +import LeanPool.Erdos97ConvexOctagon.CoverageData18 +import LeanPool.Erdos97ConvexOctagon.CoverageData19 +import LeanPool.Erdos97ConvexOctagon.CoverageData20 +import LeanPool.Erdos97ConvexOctagon.CoverageData21 +import LeanPool.Erdos97ConvexOctagon.CoverageData22 +import LeanPool.Erdos97ConvexOctagon.CoverageData23 +import LeanPool.Erdos97ConvexOctagon.CoverageData24 +import LeanPool.Erdos97ConvexOctagon.CoverageData25 +import LeanPool.Erdos97ConvexOctagon.CoverageData26 +import LeanPool.Erdos97ConvexOctagon.CoverageData27 +import LeanPool.Erdos97ConvexOctagon.CoverageData28 +import LeanPool.Erdos97ConvexOctagon.CoverageData29 +import LeanPool.Erdos97ConvexOctagon.CoverageData30 +import LeanPool.Erdos97ConvexOctagon.CoverageData31 +import LeanPool.Erdos97ConvexOctagon.CoverageDataTypes +import LeanPool.Erdos97ConvexOctagon.CoverageFormula +import LeanPool.Erdos97ConvexOctagon.CycleStrip +import LeanPool.Erdos97ConvexOctagon.EquidistantFour +import LeanPool.Erdos97ConvexOctagon.FiniteModel +import LeanPool.Erdos97ConvexOctagon.GeometryReduction +import LeanPool.Erdos97ConvexOctagon.Gram +import LeanPool.Erdos97ConvexOctagon.Incidence +import LeanPool.Erdos97ConvexOctagon.LRAT.Elab +import LeanPool.Erdos97ConvexOctagon.LRAT.Format +import LeanPool.Erdos97ConvexOctagon.LRAT.Semantics +import LeanPool.Erdos97ConvexOctagon.Main +import LeanPool.Erdos97ConvexOctagon.MasterCertificate +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData0 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData1 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData2 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData3 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData4 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData5 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData6 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData7 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateData8 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateManifest +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage00 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage01 +import LeanPool.Erdos97ConvexOctagon.MasterCertificateStage02 +import LeanPool.Erdos97ConvexOctagon.MasterFormula +import LeanPool.Erdos97ConvexOctagon.MasterFormulaData +import LeanPool.Erdos97ConvexOctagon.Obstructions +import LeanPool.Erdos97ConvexOctagon.Pentagon +import LeanPool.Erdos97ConvexOctagon.Radius +import LeanPool.Erdos97ConvexOctagon.Regenerate +import LeanPool.Erdos97ConvexOctagon.Relabelling +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra00 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra01 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra02 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra03 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra04 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra05 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra06 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra07 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra08 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra09 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra10 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra11 +import LeanPool.Erdos97ConvexOctagon.ResidualAlgebra12 +import LeanPool.Erdos97ConvexOctagon.ResidualObstructions +import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives +import LeanPool.Erdos97ConvexOctagon.RhombusFan +import LeanPool.Erdos97ConvexOctagon.RowSymmetry import LeanPool.ErdosMoser import LeanPool.ErdosMoser.Basic import LeanPool.ErdosMoser.Bounds From 61081f80553dc24ff9a0ccb7145f2e10a644acb7 Mon Sep 17 00:00:00 2001 From: Vasily Ilin Date: Wed, 29 Jul 2026 18:49:50 +0000 Subject: [PATCH 8/8] Keep generated indexes consistent before rebase --- LeanPool.lean | 10 ------ LeanPool/projects.yml | 80 +++---------------------------------------- 2 files changed, 5 insertions(+), 85 deletions(-) diff --git a/LeanPool.lean b/LeanPool.lean index afea30c32..fc88bc1a4 100644 --- a/LeanPool.lean +++ b/LeanPool.lean @@ -163,12 +163,7 @@ import LeanPool.Biswal.Theorem1 import LeanPool.Biswal.Theorem23 import LeanPool.BooleanIsoperimetry import LeanPool.BooleanIsoperimetry.Cascade -import LeanPool.BooleanIsoperimetry.CoherentGap import LeanPool.BooleanIsoperimetry.Compression -import LeanPool.BooleanIsoperimetry.ConwayGuyCoherentGap -import LeanPool.BooleanIsoperimetry.ConwayGuyHeight -import LeanPool.BooleanIsoperimetry.ConwayGuyOrderBridge -import LeanPool.BooleanIsoperimetry.ConwayGuyRigidity import LeanPool.BooleanIsoperimetry.Cube import LeanPool.BooleanIsoperimetry.Harper import LeanPool.BooleanIsoperimetry.KruskalKatona @@ -884,11 +879,6 @@ import LeanPool.Erdos97ConvexOctagon.ResidualObstructions import LeanPool.Erdos97ConvexOctagon.ResidualRepresentatives import LeanPool.Erdos97ConvexOctagon.RhombusFan import LeanPool.Erdos97ConvexOctagon.RowSymmetry -import LeanPool.ErdosMoser -import LeanPool.ErdosMoser.Basic -import LeanPool.ErdosMoser.Bounds -import LeanPool.ErdosMoser.DiscreteVariance -import LeanPool.ErdosMoser.SubsetSums import LeanPool.ErdosTuzaValtr import LeanPool.ErdosTuzaValtr.All import LeanPool.ErdosTuzaValtr.Config.Default diff --git a/LeanPool/projects.yml b/LeanPool/projects.yml index 429cd0656..7e0383bbb 100644 --- a/LeanPool/projects.yml +++ b/LeanPool/projects.yml @@ -1,53 +1,37 @@ projects: - slug: boolean-isoperimetry - title: Boolean Isoperimetry and Conway--Guy Coherent Gaps + title: Harper's Vertex-Isoperimetric Theorem on the Boolean Cube summary: >- Formalizes Harper's vertex-isoperimetric theorem for the Boolean cube: among all families of a fixed cardinality, the simplicial initial segment has the smallest closed radius-one Hamming neighborhood. Develops the supporting binomial-cascade identities, Kruskal--Katona shadow bounds, - coordinate compressions, and the final dimension induction. Applies the - coherent-gap certificate method to prove normalized consecutive-gap - rigidity for the Conway--Guy sequence from its exact recurrence. - branch: extremal and additive combinatorics + coordinate compressions, and the final dimension induction. + branch: extremal combinatorics entry_module: LeanPool.BooleanIsoperimetry authors: - Alexey Milovanov - - Egor Lyfar source: - title: >- - Optimal numberings and isoperimetric problems on graphs; A sum packing - problem of Erdős and the Conway--Guy sequence + title: Optimal numberings and isoperimetric problems on graphs authors: - L. H. Harper - - Tom Bohman doi: "10.1016/S0021-9800(66)80059-5" - url: "https://doi.org/10.1090/S0002-9939-96-03653-2" github_repo: AlexeyMilovanov/BooleanIsoperimetry license: Apache-2.0 status: verified provenance: AI main_declarations: - BooleanIsoperimetry.harper_theorem - - BooleanIsoperimetry.conwayGuyGapRigidity main_results: - declaration: BooleanIsoperimetry.harper_theorem informal: >- For every family of vertices in an n-dimensional Boolean cube, the simplicial initial segment of the same cardinality has a closed radius-one Hamming neighborhood no larger than that of the family. - - declaration: >- - BooleanIsoperimetry.conwayGuyGapRigidity - informal: >- - In every dimension, any real row whose consecutive subset-sum gaps - relative to the Conway--Guy reference row are at least one dominates - that row coordinatewise. tags: - - additive-combinatorics + - extremal-combinatorics - isoperimetry - boolean-cube - - subset-sums - - coherent-orders msc: - "05D05" - "05C35" @@ -5466,57 +5450,3 @@ projects: - "65L06" - "65L05" - "05C05" - - slug: erdos-moser-distinct-subset-sums - title: Leo Moser's finite distinct-subset-sums inequality - summary: >- - Formalizes the exact finite sum-of-squares inequality that Guy's 1982 - account states as Theorem 2 and attributes to Leo Moser: a finite set A - of natural numbers with distinct subset sums satisfies - 4^|A| - 1 <= 3 * sum(a^2). It then derives direct and square-root lower - bounds for the largest element of A. This does not claim the stronger - historical asymptotic bound attributed jointly to Erdős and Moser, and - Erdős Problem 1 remains open. - branch: additive combinatorics - entry_module: LeanPool.ErdosMoser - authors: - - Egor Lyfar - source: - title: Sets of Integers Whose Subsets Have Distinct Sums - authors: - - Richard K. Guy - doi: "10.1016/S0304-0208(08)73500-X" - url: https://www.erdosproblems.com/1 - github_repo: lyfar/erdos-moser-distinct-subset-sums-lean - license: Apache-2.0 - status: verified - provenance: AI - main_declarations: - - LeanPool.ErdosMoser.leoMoserVarianceBound - main_results: - - declaration: LeanPool.ErdosMoser.leoMoserVarianceBound - informal: >- - If a finite set A of natural numbers has distinct subset sums, then - 4^|A| - 1 is at most three times the sum of the squares of the - elements of A. - source_ref: >- - Richard K. Guy, "Sets of Integers Whose Subsets Have Distinct - Sums," Theorem 2 (credited there to Leo Moser), Annals of Discrete - Mathematics 12 (1982), 141-154, - doi:10.1016/S0304-0208(08)73500-X. - - declaration: LeanPool.ErdosMoser.erdosMoserMaxBound - informal: >- - For a nonempty finite set A of natural numbers with distinct subset - sums, 4^|A| - 1 is at most 3|A| times the square of its largest - element. - - declaration: LeanPool.ErdosMoser.erdosMoserMaxSqrt - informal: >- - The equivalent square-root lower bound on the largest element: - sqrt((4^|A| - 1)/(3|A|)) is at most max(A). - tags: - - additive-combinatorics - - number-theory - - distinct-subset-sums - - erdos-problems - msc: - - "11B13" - - "11B75"