{"abstract":"Only one inequality is checked and degeneracy is accepted.","category":"Planar geometry","checks":4,"contract":"Integer coordinates and lengths, with exact arithmetic except for indicated division results. Lengths are nonnegative. Rectangles are (xmin,ymin,xmax,ymax) with ordered bounds; coordinate vectors have matching dimensions. a,b,c may include zero; return true only for positive sides forming a nondegenerate triangle. Exact operational definition: min(a,b,c)>0 and 2*max(a,b,c)<a+b+c","contract_signature":"a, b, c","evaluation_group":"model-7543a93cb2dc69a9","failed_approach":"Non-strict triangle inequality admits collinear zero-area triangles.","family":"xn-triangle-side-feasibility","id":"FA-5881","implementations":{"attempt":{"sha256":"09c8879e818e2fe95c1b40c599cfc03526dd70c231f0b6468416aa6bd6815dfa","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 min(a,b,c)>0 and 2*max(a,b,c)<=a+b+c\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 4, 5)', solve(*(3, 4, 5)), True)\ncheck('fixture 2: (1, 2, 3)', solve(*(1, 2, 3)), False)\ncheck('fixture 3: (5, 1, 1)', solve(*(5, 1, 1)), False)\ncheck('fixture 4: (0, 1, 1)', solve(*(0, 1, 1)), False)\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":"32a316db08bc733fb81f90f3675fa321cf3b4872e5517a17a5aa7aeabee93988","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: (3, 4, 5)', solve(*(3, 4, 5)), True)\ncheck('fixture 2: (1, 2, 3)', solve(*(1, 2, 3)), False)\ncheck('fixture 3: (5, 1, 1)', solve(*(5, 1, 1)), False)\ncheck('fixture 4: (0, 1, 1)', solve(*(0, 1, 1)), False)\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-triangle-side-feasibility","generated_at":"2026-09-29T14:37:54.884870+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. Planar geometry results depend on the stated convention.","root_cause":"Only one inequality is checked and degeneracy is accepted.","sha256":"c70a2facee0d115a022a07463a29141fe5d12fb93b636a7a74d17d6e6cced2a0","title":"Triangle side feasibility · 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":152.099,"exit_code":1,"observations":[{"actual":true,"check":"fixture 1: (3, 4, 5)","expected":true,"passed":true},{"actual":true,"check":"fixture 2: (1, 2, 3)","expected":false,"passed":false},{"actual":false,"check":"fixture 3: (5, 1, 1)","expected":false,"passed":true},{"actual":false,"check":"fixture 4: (0, 1, 1)","expected":false,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 4, 5)\", \"actual\": true, \"expected\": true, \"passed\": true}, {\"check\": \"fixture 2: (1, 2, 3)\", \"actual\": true, \"expected\": false, \"passed\": false}, {\"check\": \"fixture 3: (5, 1, 1)\", \"actual\": false, \"expected\": false, \"passed\": true}, {\"check\": \"fixture 4: (0, 1, 1)\", \"actual\": false, \"expected\": false, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":49.356,"exit_code":1,"observations":[{"actual":true,"check":"fixture 1: (3, 4, 5)","expected":true,"passed":true},{"actual":true,"check":"fixture 2: (1, 2, 3)","expected":false,"passed":false},{"actual":true,"check":"fixture 3: (5, 1, 1)","expected":false,"passed":false},{"actual":true,"check":"fixture 4: (0, 1, 1)","expected":false,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 4, 5)\", \"actual\": true, \"expected\": true, \"passed\": true}, {\"check\": \"fixture 2: (1, 2, 3)\", \"actual\": true, \"expected\": false, \"passed\": false}, {\"check\": \"fixture 3: (5, 1, 1)\", \"actual\": true, \"expected\": false, \"passed\": false}, {\"check\": \"fixture 4: (0, 1, 1)\", \"actual\": true, \"expected\": false, \"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."}}