{"abstract":"The low thumb escapes the slider domain.","category":"Selection controls","checks":9,"contract":"Thumbs clamp to domain and maintain minimum separation; translating preserves span and clamps delta against both domain edges.","contract_signature":"low, high, target, value, minimum, maximum, gap","evaluation_group":"xi-dual-slider","failed_approach":"Using min turns the domain minimum into a ceiling.","family":"xi-dual-slider-lower-domain","id":"FA-8881","implementations":{"attempt":{"sha256":"3cb3303461c820b87db5c3931549c5076c046bce1364656f30d83cb6b70a5e2a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(low, high, target, value, minimum, maximum, gap):\n    if target == 'low': low = min(minimum, min(value, high-gap))\n    elif target == 'high': high = min(maximum, max(value, low+gap))\n    elif target == 'translate':\n        delta = max(minimum-low, min(value, maximum-high))\n        low += delta; high += delta\n    return (low, high)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('low minimum', solve(20, 60, 'low', -10, 0, 100, 10), (0, 60))\ncheck('low gap', solve(20, 60, 'low', 65, 0, 100, 10), (50, 60))\ncheck('high maximum', solve(20, 60, 'high', 120, 0, 100, 10), (20, 100))\ncheck('high gap', solve(20, 60, 'high', 15, 0, 100, 10), (20, 30))\ncheck('translate upper', solve(20, 60, 'translate', 80, 0, 100, 10), (60, 100))\ncheck('translate lower', solve(20, 60, 'translate', -40, 0, 100, 10), (0, 40))\ncheck('ordinary', solve(20, 60, 'low', 30, 0, 100, 10), (30, 60))\ncheck('parameterized range translation', solve(2*N,6*N,'translate',N,0,10*N,N), (3*N,7*N))\nfor repetition in range(N):\n    check('repeat ordinary', solve(20, 60, 'low', 30, 0, 100, 10), (30, 60))\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":"4696667d9973c56b9fbb5f8fa8fcfca8e53b3b6fb5ca112d39cc97ae3d48f3f9","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(low, high, target, value, minimum, maximum, gap):\n    if target == 'low': low = min(value, high-gap)\n    elif target == 'high': high = min(maximum, max(value, low+gap))\n    elif target == 'translate':\n        delta = max(minimum-low, min(value, maximum-high))\n        low += delta; high += delta\n    return (low, high)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('low minimum', solve(20, 60, 'low', -10, 0, 100, 10), (0, 60))\ncheck('low gap', solve(20, 60, 'low', 65, 0, 100, 10), (50, 60))\ncheck('high maximum', solve(20, 60, 'high', 120, 0, 100, 10), (20, 100))\ncheck('high gap', solve(20, 60, 'high', 15, 0, 100, 10), (20, 30))\ncheck('translate upper', solve(20, 60, 'translate', 80, 0, 100, 10), (60, 100))\ncheck('translate lower', solve(20, 60, 'translate', -40, 0, 100, 10), (0, 40))\ncheck('ordinary', solve(20, 60, 'low', 30, 0, 100, 10), (30, 60))\ncheck('parameterized range translation', solve(2*N,6*N,'translate',N,0,10*N,N), (3*N,7*N))\nfor repetition in range(N):\n    check('repeat ordinary', solve(20, 60, 'low', 30, 0, 100, 10), (30, 60))\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":"xi-dual-slider-lower-domain","generated_at":"2026-09-29T14:38:25.414951+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"A deterministic model of two-thumb range-slider constraints; this isolates one interface invariant without requiring a browser.","root_cause":"The lower domain operation uses `min(value, high-gap)` where the contract requires `max(minimum, min(value, high-gap))`.","sha256":"4ad778de762e270bd3c2935677e2301fc843e5493ed1c0b9617f9d5a8da3d27d","title":"Two-thumb range-slider constraints: The low thumb escapes the slider domain · 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":38.142,"exit_code":1,"observations":[{"actual":[-10,60],"check":"low minimum","expected":[0,60],"passed":false},{"actual":[0,60],"check":"low gap","expected":[50,60],"passed":false},{"actual":[20,100],"check":"high maximum","expected":[20,100],"passed":true},{"actual":[20,30],"check":"high gap","expected":[20,30],"passed":true},{"actual":[60,100],"check":"translate upper","expected":[60,100],"passed":true},{"actual":[0,40],"check":"translate lower","expected":[0,40],"passed":true},{"actual":[0,60],"check":"ordinary","expected":[30,60],"passed":false},{"actual":[3,7],"check":"parameterized range translation","expected":[3,7],"passed":true},{"actual":[0,60],"check":"repeat ordinary","expected":[30,60],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"low minimum\", \"actual\": [-10, 60], \"expected\": [0, 60], \"passed\": false}, {\"check\": \"low gap\", \"actual\": [0, 60], \"expected\": [50, 60], \"passed\": false}, {\"check\": \"high maximum\", \"actual\": [20, 100], \"expected\": [20, 100], \"passed\": true}, {\"check\": \"high gap\", \"actual\": [20, 30], \"expected\": [20, 30], \"passed\": true}, {\"check\": \"translate upper\", \"actual\": [60, 100], \"expected\": [60, 100], \"passed\": true}, {\"check\": \"translate lower\", \"actual\": [0, 40], \"expected\": [0, 40], \"passed\": true}, {\"check\": \"ordinary\", \"actual\": [0, 60], \"expected\": [30, 60], \"passed\": false}, {\"check\": \"parameterized range translation\", \"actual\": [3, 7], \"expected\": [3, 7], \"passed\": true}, {\"check\": \"repeat ordinary\", \"actual\": [0, 60], \"expected\": [30, 60], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":37.339,"exit_code":1,"observations":[{"actual":[-10,60],"check":"low minimum","expected":[0,60],"passed":false},{"actual":[50,60],"check":"low gap","expected":[50,60],"passed":true},{"actual":[20,100],"check":"high maximum","expected":[20,100],"passed":true},{"actual":[20,30],"check":"high gap","expected":[20,30],"passed":true},{"actual":[60,100],"check":"translate upper","expected":[60,100],"passed":true},{"actual":[0,40],"check":"translate lower","expected":[0,40],"passed":true},{"actual":[30,60],"check":"ordinary","expected":[30,60],"passed":true},{"actual":[3,7],"check":"parameterized range translation","expected":[3,7],"passed":true},{"actual":[30,60],"check":"repeat ordinary","expected":[30,60],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"low minimum\", \"actual\": [-10, 60], \"expected\": [0, 60], \"passed\": false}, {\"check\": \"low gap\", \"actual\": [50, 60], \"expected\": [50, 60], \"passed\": true}, {\"check\": \"high maximum\", \"actual\": [20, 100], \"expected\": [20, 100], \"passed\": true}, {\"check\": \"high gap\", \"actual\": [20, 30], \"expected\": [20, 30], \"passed\": true}, {\"check\": \"translate upper\", \"actual\": [60, 100], \"expected\": [60, 100], \"passed\": true}, {\"check\": \"translate lower\", \"actual\": [0, 40], \"expected\": [0, 40], \"passed\": true}, {\"check\": \"ordinary\", \"actual\": [30, 60], \"expected\": [30, 60], \"passed\": true}, {\"check\": \"parameterized range translation\", \"actual\": [3, 7], \"expected\": [3, 7], \"passed\": true}, {\"check\": \"repeat ordinary\", \"actual\": [30, 60], \"expected\": [30, 60], \"passed\": true}], \"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."}}