{"abstract":"Semiaxes are added instead of multiplied.","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. Ellipsoid volume divided by pi. Exact operational definition: 4*a*b*c/3","contract_signature":"a, b, c","evaluation_group":"model-b95b5115e50990b8","failed_approach":"The box-product coefficient omits the sphere volume factor.","family":"xn-ellipsoid-volume-divided-by-pi","id":"FA-5946","implementations":{"attempt":{"sha256":"1fb231b0f9bd5a6f6ffa20d5deaed22fc8b81c75f13f83ad782eb1dee3b095d0","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: (1, 2, 3)', solve(*(1, 2, 3)), 8)\ncheck('fixture 2: (3, 3, 3)', solve(*(3, 3, 3)), 36)\ncheck('fixture 3: (0, 2, 3)', solve(*(0, 2, 3)), 0)\ncheck('fixture 4: (1, 1, 1)', solve(*(1, 1, 1)), 1.3333333333333333)\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":"18507efcafa915fe39e446280807e62da77b391b1c56d21241d2e7330744d325","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 4*(a+b+c)/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (1, 2, 3)', solve(*(1, 2, 3)), 8)\ncheck('fixture 2: (3, 3, 3)', solve(*(3, 3, 3)), 36)\ncheck('fixture 3: (0, 2, 3)', solve(*(0, 2, 3)), 0)\ncheck('fixture 4: (1, 1, 1)', solve(*(1, 1, 1)), 1.3333333333333333)\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-ellipsoid-volume-divided-by-pi","generated_at":"2026-09-29T14:37:55.653686+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":"Semiaxes are added instead of multiplied.","sha256":"0674ac30ed130b7226ee66c6c47a26a255476d658e086bf3bffbd7fba414d323","title":"Ellipsoid volume divided by pi · 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":47.995,"exit_code":1,"observations":[{"actual":6,"check":"fixture 1: (1, 2, 3)","expected":8,"passed":false},{"actual":27,"check":"fixture 2: (3, 3, 3)","expected":36,"passed":false},{"actual":0,"check":"fixture 3: (0, 2, 3)","expected":0,"passed":true},{"actual":1,"check":"fixture 4: (1, 1, 1)","expected":1.3333333333333333,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (1, 2, 3)\", \"actual\": 6, \"expected\": 8, \"passed\": false}, {\"check\": \"fixture 2: (3, 3, 3)\", \"actual\": 27, \"expected\": 36, \"passed\": false}, {\"check\": \"fixture 3: (0, 2, 3)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (1, 1, 1)\", \"actual\": 1, \"expected\": 1.3333333333333333, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":46.897,"exit_code":1,"observations":[{"actual":8.0,"check":"fixture 1: (1, 2, 3)","expected":8,"passed":true},{"actual":12.0,"check":"fixture 2: (3, 3, 3)","expected":36,"passed":false},{"actual":6.666666666666667,"check":"fixture 3: (0, 2, 3)","expected":0,"passed":false},{"actual":4.0,"check":"fixture 4: (1, 1, 1)","expected":1.3333333333333333,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (1, 2, 3)\", \"actual\": 8.0, \"expected\": 8, \"passed\": true}, {\"check\": \"fixture 2: (3, 3, 3)\", \"actual\": 12.0, \"expected\": 36, \"passed\": false}, {\"check\": \"fixture 3: (0, 2, 3)\", \"actual\": 6.666666666666667, \"expected\": 0, \"passed\": false}, {\"check\": \"fixture 4: (1, 1, 1)\", \"actual\": 4.0, \"expected\": 1.3333333333333333, \"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."}}