{"abstract":"The reduction disagrees with its explicit aggregation oracle.","category":"Numerical aggregation","checks":6,"contract":"Return [positive total, negative total, zero count] for an integer sequence; preserve signs and multiplicity.","contract_signature":"xs","evaluation_group":"s3-na-signed-channel-totals","failed_approach":"Absolute net magnitude still discards cancellation.","family":"s3-numerical-aggregation-signed-channel-totals-net-cancellation","id":"FA-12841","implementations":{"attempt":{"sha256":"18ab568e02e90e8664ad78a8473d00c1acead4e2c764f5f062d1ea7b1024e49d","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nfrom collections import Counter, defaultdict\nimport math\nimport itertools\nN = 1\nobservations = []\ndef solve(xs):\n    return [abs(sum(xs)), -abs(sum(xs)), xs.count(0)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('regression 1', solve(*([3, -2, 0, 3, -4, 0],)), [6, -6, 2])\ncheck('regression 2', solve(*([],)), [0, 0, 0])\ncheck('regression 3', solve(*([0, 0, 0],)), [0, 0, 3])\ncheck('regression 4', solve(*([-8, -2],)), [0, -10, 0])\ncheck('regression 5', solve(*([2, 2, 7],)), [11, 0, 0])\ncheck(\"variable signed channels\", solve([N,-N,0,N]), [2*N,-N,1])\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":"424c2c61a4d47c308093828612c1647fc28b1ab845ef10c44d750745c6f2f903","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nfrom collections import Counter, defaultdict\nimport math\nimport itertools\nN = 1\nobservations = []\ndef solve(xs):\n    return [max(0,sum(xs)),min(0,sum(xs)),xs.count(0)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('regression 1', solve(*([3, -2, 0, 3, -4, 0],)), [6, -6, 2])\ncheck('regression 2', solve(*([],)), [0, 0, 0])\ncheck('regression 3', solve(*([0, 0, 0],)), [0, 0, 3])\ncheck('regression 4', solve(*([-8, -2],)), [0, -10, 0])\ncheck('regression 5', solve(*([2, 2, 7],)), [11, 0, 0])\ncheck(\"variable signed channels\", solve([N,-N,0,N]), [2*N,-N,1])\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":"Small offline integer/rational inputs only; no performance, statistical inference, or production-library conformance claim. 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":"s3-numerical-aggregation-signed-channel-totals-net-cancellation","generated_at":"2026-09-29T14:39:00.848310+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Exact bounded examples isolate a reduction defect without floating-point or external-service effects.","root_cause":"Positive and negative channels are collapsed before reporting.","sha256":"19d16420365522802750d74860976772537040cd3a2adaa5dc506d34194219a8","title":"Signed channel totals: Positive and negative channels are collapsed before reporting. · 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":49.455,"exit_code":1,"observations":[{"actual":[0,0,2],"check":"regression 1","expected":[6,-6,2],"passed":false},{"actual":[0,0,0],"check":"regression 2","expected":[0,0,0],"passed":true},{"actual":[0,0,3],"check":"regression 3","expected":[0,0,3],"passed":true},{"actual":[10,-10,0],"check":"regression 4","expected":[0,-10,0],"passed":false},{"actual":[11,-11,0],"check":"regression 5","expected":[11,0,0],"passed":false},{"actual":[1,-1,1],"check":"variable signed channels","expected":[2,-1,1],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression 1\", \"actual\": [0, 0, 2], \"expected\": [6, -6, 2], \"passed\": false}, {\"check\": \"regression 2\", \"actual\": [0, 0, 0], \"expected\": [0, 0, 0], \"passed\": true}, {\"check\": \"regression 3\", \"actual\": [0, 0, 3], \"expected\": [0, 0, 3], \"passed\": true}, {\"check\": \"regression 4\", \"actual\": [10, -10, 0], \"expected\": [0, -10, 0], \"passed\": false}, {\"check\": \"regression 5\", \"actual\": [11, -11, 0], \"expected\": [11, 0, 0], \"passed\": false}, {\"check\": \"variable signed channels\", \"actual\": [1, -1, 1], \"expected\": [2, -1, 1], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":48.765,"exit_code":1,"observations":[{"actual":[0,0,2],"check":"regression 1","expected":[6,-6,2],"passed":false},{"actual":[0,0,0],"check":"regression 2","expected":[0,0,0],"passed":true},{"actual":[0,0,3],"check":"regression 3","expected":[0,0,3],"passed":true},{"actual":[0,-10,0],"check":"regression 4","expected":[0,-10,0],"passed":true},{"actual":[11,0,0],"check":"regression 5","expected":[11,0,0],"passed":true},{"actual":[1,0,1],"check":"variable signed channels","expected":[2,-1,1],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression 1\", \"actual\": [0, 0, 2], \"expected\": [6, -6, 2], \"passed\": false}, {\"check\": \"regression 2\", \"actual\": [0, 0, 0], \"expected\": [0, 0, 0], \"passed\": true}, {\"check\": \"regression 3\", \"actual\": [0, 0, 3], \"expected\": [0, 0, 3], \"passed\": true}, {\"check\": \"regression 4\", \"actual\": [0, -10, 0], \"expected\": [0, -10, 0], \"passed\": true}, {\"check\": \"regression 5\", \"actual\": [11, 0, 0], \"expected\": [11, 0, 0], \"passed\": true}, {\"check\": \"variable signed channels\", \"actual\": [1, 0, 1], \"expected\": [2, -1, 1], \"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."}}