{"abstract":"The triangular base factor of one half is omitted.","category":"Solid geometry","checks":4,"contract":"Nonnegative integer dimensions; exact products and ordinary Python real division. Quantities named divided by pi or pi-squared deliberately omit that factor from the returned result. Tetrahedron axis intercept volume. Exact operational definition: a*b*c/6","contract_signature":"a, b, c","evaluation_group":"model-b27e96cbbbc76d70","failed_approach":"The containing cuboid is mistaken for the tetrahedron.","family":"xn-tetrahedron-axis-intercept-volume","id":"FA-5951","implementations":{"attempt":{"sha256":"9d0030c1502ea5897ad0136857d567a09362cdcd9d2a0a456a8d7fb48075b63a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(a, b, c):\n    return a*b*c\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (2, 3, 4)', solve(*(2, 3, 4)), 4)\ncheck('fixture 2: (1, 1, 1)', solve(*(1, 1, 1)), 0.16666666666666666)\ncheck('fixture 3: (0, 2, 3)', solve(*(0, 2, 3)), 0)\ncheck('fixture 4: (6, 6, 6)', solve(*(6, 6, 6)), 36)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"c63261cb99032cc18e356a7ef7190922ca6b0f81474f6a578da9877dc3b1ce92","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(a, b, c):\n    return a*b*c/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (2, 3, 4)', solve(*(2, 3, 4)), 4)\ncheck('fixture 2: (1, 1, 1)', solve(*(1, 1, 1)), 0.16666666666666666)\ncheck('fixture 3: (0, 2, 3)', solve(*(0, 2, 3)), 0)\ncheck('fixture 4: (6, 6, 6)', solve(*(6, 6, 6)), 36)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":" This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"xn-tetrahedron-axis-intercept-volume","generated_at":"2026-09-29T14:37:55.676913+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Solid geometry results depend on the stated convention.","root_cause":"The triangular base factor of one half is omitted.","sha256":"b51dbbb77eae7949af026c8276980df3985e9a6e540d1887c9cbe0227a0f5bc5","title":"Tetrahedron axis intercept volume · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":47.574,"exit_code":1,"observations":[{"actual":24,"check":"fixture 1: (2, 3, 4)","expected":4,"passed":false},{"actual":1,"check":"fixture 2: (1, 1, 1)","expected":0.16666666666666666,"passed":false},{"actual":0,"check":"fixture 3: (0, 2, 3)","expected":0,"passed":true},{"actual":216,"check":"fixture 4: (6, 6, 6)","expected":36,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (2, 3, 4)\", \"actual\": 24, \"expected\": 4, \"passed\": false}, {\"check\": \"fixture 2: (1, 1, 1)\", \"actual\": 1, \"expected\": 0.16666666666666666, \"passed\": false}, {\"check\": \"fixture 3: (0, 2, 3)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (6, 6, 6)\", \"actual\": 216, \"expected\": 36, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":45.229,"exit_code":1,"observations":[{"actual":8.0,"check":"fixture 1: (2, 3, 4)","expected":4,"passed":false},{"actual":0.3333333333333333,"check":"fixture 2: (1, 1, 1)","expected":0.16666666666666666,"passed":false},{"actual":0.0,"check":"fixture 3: (0, 2, 3)","expected":0,"passed":true},{"actual":72.0,"check":"fixture 4: (6, 6, 6)","expected":36,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (2, 3, 4)\", \"actual\": 8.0, \"expected\": 4, \"passed\": false}, {\"check\": \"fixture 2: (1, 1, 1)\", \"actual\": 0.3333333333333333, \"expected\": 0.16666666666666666, \"passed\": false}, {\"check\": \"fixture 3: (0, 2, 3)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (6, 6, 6)\", \"actual\": 72.0, \"expected\": 36, \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}