{"abstract":"The major radius is squared instead of the tube radius.","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. major>=minor>=0; return ring-torus volume divided by pi squared. Exact operational definition: 2*major*minor*minor","contract_signature":"major, minor","evaluation_group":"model-7de6f481bc01c59d","failed_approach":"The revolution circumference factor loses two.","family":"xn-torus-volume-divided-by-pi-squared","id":"FA-5976","implementations":{"attempt":{"sha256":"e857944711c236900b806b942549a07e7b04416bdd1e2c5c6ea941711585bc27","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(major, minor):\n    return major*minor*minor\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 1)', solve(*(3, 1)), 6)\ncheck('fixture 2: (4, 2)', solve(*(4, 2)), 32)\ncheck('fixture 3: (5, 0)', solve(*(5, 0)), 0)\ncheck('fixture 4: (6, 3)', solve(*(6, 3)), 108)\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":"f30226be0a8255a82d412e100599d60419be9203e7c00b36235e5e0de7adefe0","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(major, minor):\n    return 2*major*major*minor\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 1)', solve(*(3, 1)), 6)\ncheck('fixture 2: (4, 2)', solve(*(4, 2)), 32)\ncheck('fixture 3: (5, 0)', solve(*(5, 0)), 0)\ncheck('fixture 4: (6, 3)', solve(*(6, 3)), 108)\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-torus-volume-divided-by-pi-squared","generated_at":"2026-09-29T14:37:56.150121+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 major radius is squared instead of the tube radius.","sha256":"13c92b72f9027ceedc3ebab407eb9f14bf1f3f40f2b5e68f0470721bd5418a91","title":"Torus volume divided by pi squared · 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":44.568,"exit_code":1,"observations":[{"actual":3,"check":"fixture 1: (3, 1)","expected":6,"passed":false},{"actual":16,"check":"fixture 2: (4, 2)","expected":32,"passed":false},{"actual":0,"check":"fixture 3: (5, 0)","expected":0,"passed":true},{"actual":54,"check":"fixture 4: (6, 3)","expected":108,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 1)\", \"actual\": 3, \"expected\": 6, \"passed\": false}, {\"check\": \"fixture 2: (4, 2)\", \"actual\": 16, \"expected\": 32, \"passed\": false}, {\"check\": \"fixture 3: (5, 0)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (6, 3)\", \"actual\": 54, \"expected\": 108, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":41.965,"exit_code":1,"observations":[{"actual":18,"check":"fixture 1: (3, 1)","expected":6,"passed":false},{"actual":64,"check":"fixture 2: (4, 2)","expected":32,"passed":false},{"actual":0,"check":"fixture 3: (5, 0)","expected":0,"passed":true},{"actual":216,"check":"fixture 4: (6, 3)","expected":108,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 1)\", \"actual\": 18, \"expected\": 6, \"passed\": false}, {\"check\": \"fixture 2: (4, 2)\", \"actual\": 64, \"expected\": 32, \"passed\": false}, {\"check\": \"fixture 3: (5, 0)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (6, 3)\", \"actual\": 216, \"expected\": 108, \"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."}}