OMEGA V3 SOURCE AUDITOR REGRESSION Python 3.11.2 Auditor SHA256 7bb072407b4c2c3ea58c0a8a0ad392d5870fc1d7d339ff20b67679b9ad96f08e Cases: 19 (one original and 18 mutations); both normal and -O PASS normal original : accepted original PASS optimized original : accepted original PASS normal no_source_blocks : rejected: DOCX source block inventory PASS optimized no_source_blocks : rejected: DOCX source block inventory PASS normal duplicate_source_block : rejected: duplicate DOCX source block PASS optimized duplicate_source_block : rejected: duplicate DOCX source block PASS normal bad_moment_11 : rejected: nonzero source polynomial: moment_11 PASS optimized bad_moment_11 : rejected: nonzero source polynomial: moment_11 PASS normal empty_evidence_tables : rejected: table coverage/order/duplicates: rational_enclosures.tsv PASS optimized empty_evidence_tables : rejected: table coverage/order/duplicates: rational_enclosures.tsv PASS normal empty_precision_sweep : rejected: table coverage/order/duplicates: precision_sweep.csv PASS optimized empty_precision_sweep : rejected: table coverage/order/duplicates: precision_sweep.csv PASS normal empty_gap_blocks : rejected: table coverage/order/duplicates: gap_blocks.csv PASS optimized empty_gap_blocks : rejected: table coverage/order/duplicates: gap_blocks.csv PASS normal wrong_theorem_statement : rejected: theorem statement/name/source binding: Omega.G_eq PASS optimized wrong_theorem_statement : rejected: theorem statement/name/source binding: Omega.G_eq PASS normal false_recorded_polynomial : rejected: recorded polynomial normal form: phi_sq PASS optimized false_recorded_polynomial : rejected: recorded polynomial normal form: phi_sq PASS normal bad_moment_12 : rejected: nonzero source polynomial: moment_12 PASS optimized bad_moment_12 : rejected: nonzero source polynomial: moment_12 PASS normal bad_moment_22 : rejected: nonzero source polynomial: moment_22 PASS optimized bad_moment_22 : rejected: nonzero source polynomial: moment_22 PASS normal bad_gram : rejected: nonzero source polynomial: gram_entry_1_1 PASS optimized bad_gram : rejected: nonzero source polynomial: gram_entry_1_1 PASS normal bad_heights : rejected: nonzero source polynomial: moment_12 PASS optimized bad_heights : rejected: nonzero source polynomial: moment_12 PASS normal bad_helper : rejected: nonzero source polynomial: displacement_conjugacy PASS optimized bad_helper : rejected: nonzero source polynomial: displacement_conjugacy PASS normal duplicate_enclosure : rejected: table coverage/order/duplicates: rational_enclosures.tsv PASS optimized duplicate_enclosure : rejected: table coverage/order/duplicates: rational_enclosures.tsv PASS normal missing_manifest_entry : rejected: manifest closed inventory PASS optimized missing_manifest_entry : rejected: manifest closed inventory PASS normal wrong_section_context : rejected: theorem statement/name/source binding: Omega.homothety_comp PASS optimized wrong_section_context : rejected: theorem statement/name/source binding: Omega.homothety_comp PASS normal unsupported_expression : rejected: unsupported function PASS optimized unsupported_expression : rejected: unsupported function PASS normal unsupported_source_line : rejected: unsupported polynomial source line PASS optimized unsupported_source_line : rejected: unsupported polynomial source line ORIGINAL AUDIT OUTPUT DOCX exact recovered files 29 bytes 98418 Julia hash entries 67 Lean hash entries 28 Theorem declarations and mappings 147 Archived O0/O3 outputs agree 6 Fresh Python integer replay 32768 states 753664 transitions depth 10 sum 300871 positive 300871 Minimum gap 34535026732 Fresh rational endpoint reproduction: 10 enclosure rows match exactly Fresh real-floor enclosure checks: 32768 ; precision rows reproduced: 19 Fresh gap-block reproduction: 128 rows match Fresh SymPy reproduction of actual Julia expressions and recorded normal forms: 97 exact zeros Archived axiom report: 147 declarations; dependencies: Classical.choice, Quot.sound, propext SCOPE: source comparison and independent Python replay; no fresh Lean or Julia execution. TOTAL: 38 successful subprocess checks; 36 correct mutation rejections. No Lean or Julia runtime was executed.