{"abstract":"Area and height 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. Cavalieri prism volume. Exact operational definition: base_area*perpendicular_height","evaluation_group":"model-a894da2382ef2e30","failed_approach":"A pyramid coefficient incorrectly reduces the prism volume.","family":"xn-cavalieri-prism-volume","id":"FA-5991","implementations":{"attempt":{"sha256":"b4473b3c2d120ed5b586c390a906ac74a72ce236c593174aba28ecdb45c5ebc4","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(base_area, perpendicular_height):\n    return base_area*perpendicular_height/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (4, 3)', solve(*(4, 3)), 12)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 3: (7, 0)', solve(*(7, 0)), 0)\ncheck('fixture 4: (5, 5)', solve(*(5, 5)), 25)\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":"6ec91dd2f588215554271dc7f70d25b7e4b652ee521b06105023941da9437a3f","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(base_area, perpendicular_height):\n    return base_area+perpendicular_height\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (4, 3)', solve(*(4, 3)), 12)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 3: (7, 0)', solve(*(7, 0)), 0)\ncheck('fixture 4: (5, 5)', solve(*(5, 5)), 25)\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"},"fixed":{"sha256":"6ab322be2235ff2777fbfe8a6b2b7c2e81889af4843ac09ef325ad1ed90977b5","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(base_area, perpendicular_height):\n    return base_area*perpendicular_height\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (4, 3)', solve(*(4, 3)), 12)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 0)\ncheck('fixture 3: (7, 0)', solve(*(7, 0)), 0)\ncheck('fixture 4: (5, 5)', solve(*(5, 5)), 25)\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-cavalieri-prism-volume","generated_at":"2026-09-29T14:37:56.203151+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.","repair":"Apply the specified mathematical contract directly, preserving all terms and boundary cases: return base_area*perpendicular_height","root_cause":"Area and height are added instead of multiplied.","sha256":"daf537220e48c9aeffe0fdf97f20dd43836ca94b3d1850034cbe3d824b9f0cd0","title":"Cavalieri prism volume · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":45.036,"exit_code":1,"observations":[{"actual":4.0,"check":"fixture 1: (4, 3)","expected":12,"passed":false},{"actual":0.0,"check":"fixture 2: (0, 5)","expected":0,"passed":true},{"actual":0.0,"check":"fixture 3: (7, 0)","expected":0,"passed":true},{"actual":8.333333333333334,"check":"fixture 4: (5, 5)","expected":25,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (4, 3)\", \"actual\": 4.0, \"expected\": 12, \"passed\": false}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 3: (7, 0)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (5, 5)\", \"actual\": 8.333333333333334, \"expected\": 25, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":44.769,"exit_code":1,"observations":[{"actual":7,"check":"fixture 1: (4, 3)","expected":12,"passed":false},{"actual":5,"check":"fixture 2: (0, 5)","expected":0,"passed":false},{"actual":7,"check":"fixture 3: (7, 0)","expected":0,"passed":false},{"actual":10,"check":"fixture 4: (5, 5)","expected":25,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (4, 3)\", \"actual\": 7, \"expected\": 12, \"passed\": false}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 5, \"expected\": 0, \"passed\": false}, {\"check\": \"fixture 3: (7, 0)\", \"actual\": 7, \"expected\": 0, \"passed\": false}, {\"check\": \"fixture 4: (5, 5)\", \"actual\": 10, \"expected\": 25, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":42.776,"exit_code":0,"observations":[{"actual":12,"check":"fixture 1: (4, 3)","expected":12,"passed":true},{"actual":0,"check":"fixture 2: (0, 5)","expected":0,"passed":true},{"actual":0,"check":"fixture 3: (7, 0)","expected":0,"passed":true},{"actual":25,"check":"fixture 4: (5, 5)","expected":25,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (4, 3)\", \"actual\": 12, \"expected\": 12, \"passed\": true}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 3: (7, 0)\", \"actual\": 0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 4: (5, 5)\", \"actual\": 25, \"expected\": 25, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}