{"abstract":"A cone is assigned the volume of its bounding cylinder.","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. Cone volume divided by pi. Exact operational definition: r*r*h/3","contract_signature":"r, h","evaluation_group":"model-7012654fe0849ca0","failed_approach":"The base radius is not squared.","family":"xn-cone-volume-divided-by-pi","id":"FA-5926","implementations":{"attempt":{"sha256":"275ea221cfef2dcff9e1e9722a5e1cd8f53c9b9fc52e6777ae263c85fb75d913","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(r, h):\n    return r*h/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 4)', solve(*(3, 4)), 12)\ncheck('fixture 2: (1, 3)', solve(*(1, 3)), 1)\ncheck('fixture 3: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 4: (2, 6)', solve(*(2, 6)), 8)\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":"e204d5c2c67a6935bc0330c671a2e4f5f0b9ec70dfbb889e8dfd9f3fd0132750","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(r, h):\n    return r*r*h\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 4)', solve(*(3, 4)), 12)\ncheck('fixture 2: (1, 3)', solve(*(1, 3)), 1)\ncheck('fixture 3: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 4: (2, 6)', solve(*(2, 6)), 8)\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-cone-volume-divided-by-pi","generated_at":"2026-09-29T14:37:55.383174+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":"A cone is assigned the volume of its bounding cylinder.","sha256":"b3a16da646f04062b144ab7496e8a47ece20d0fccd579a6eebadd23727e74bd5","title":"Cone 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":57.943,"exit_code":1,"observations":[{"actual":4.0,"check":"fixture 1: (3, 4)","expected":12,"passed":false},{"actual":1.0,"check":"fixture 2: (1, 3)","expected":1,"passed":true},{"actual":0.0,"check":"fixture 3: (0, 5)","expected":0,"passed":true},{"actual":4.0,"check":"fixture 4: (2, 6)","expected":8,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 4)\", \"actual\": 4.0, \"expected\": 12, \"passed\": false}, {\"check\": \"fixture 2: (1, 3)\", \"actual\": 1.0, \"expected\": 1, \"passed\": true}, {\"check\": \"fixture 3: (0, 5)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (2, 6)\", \"actual\": 4.0, \"expected\": 8, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":46.646,"exit_code":1,"observations":[{"actual":36,"check":"fixture 1: (3, 4)","expected":12,"passed":false},{"actual":3,"check":"fixture 2: (1, 3)","expected":1,"passed":false},{"actual":0,"check":"fixture 3: (0, 5)","expected":0,"passed":true},{"actual":24,"check":"fixture 4: (2, 6)","expected":8,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 4)\", \"actual\": 36, \"expected\": 12, \"passed\": false}, {\"check\": \"fixture 2: (1, 3)\", \"actual\": 3, \"expected\": 1, \"passed\": false}, {\"check\": \"fixture 3: (0, 5)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (2, 6)\", \"actual\": 24, \"expected\": 8, \"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."}}