{"abstract":"Joint and several award obligations are interchanged.","category":"Auction allocation rules","checks":11,"contract":"A consortium submits one joint bid with named members and a designated representative. Member approvals are scope-specific. Award shares are literal integer units, member exits cannot strand assigned units, and affiliate conflicts are checked against both consortiums. Named decision joint-exposure: For joint exposure, apply the stipulated decision {m:x[\"award\"] if x[\"joint\"] else x[\"shares\"].get(m,0) for m in x[\"members\"]}.","evaluation_group":"s3-auction-consortium-bid","failed_approach":"The attempted repair uses {m:x[\"award\"] for m in x[\"members\"]}; the explicit regression cases demonstrate that this still violates the stipulated auction rule.","family":"s3-auction-allocation-rules-consortium-bid-joint-exposure","id":"FA-57076","implementations":{"attempt":{"sha256":"ac294818538de5ec35f9a65bd5ed6cf1e658a44480a9b9cdd7b794ed64c09cbc","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    v0 = x[\"representative\"] in x[\"members\"]\n    v1 = set(x[\"members\"])<=set(x[\"signers\"])\n    v2 = all(set(x[\"lots\"])<=set(x[\"approved_lots\"].get(m,[])) for m in x[\"members\"])\n    v3 = sum(x[\"shares\"].get(m,0) for m in x[\"members\"])==x[\"award\"]\n    v4 = all(x[\"shares\"].get(m,0)==0 for m in x[\"exits\"])\n    v5 = x[\"replacement\"] in x[\"approved_members\"] and x[\"replacement\"] not in x[\"members\"]\n    v6 = not any(set(x[\"affiliates\"].get(m,[]))&set(x[\"rivals\"]) for m in x[\"members\"])\n    v7 = {m:x[\"award\"] for m in x[\"members\"]}\n    v8 = all(x[\"shares\"].get(m,0)<=x[\"member_caps\"].get(m,0) for m in x[\"members\"])\n    v9 = not x[\"dissolved\"] and all(x[\"payments\"].get(m,0)>=x[\"required\"].get(m,0) for m in x[\"members\"])\n    return {'representative-membership':v0,'unanimous-bid-signature':v1,'joint-lot-mandate':v2,'share-conservation':v3,'exit-assignment-guard':v4,'replacement-member-approval':v5,'affiliate-rival-exclusion':v6,'joint-exposure':v7,'member-cap-certification':v8,'dissolution-settlement':v9}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [('normal contract', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('member not signer', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('several liabilities', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': False, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 3, 'b': 2}, {'a': 6, 'b': 4}, {'a': 9, 'b': 6}, {'a': 12, 'b': 8}, {'a': 15, 'b': 10}]), ('member not signer / several liabilities', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': False, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 3, 'b': 2}, {'a': 6, 'b': 4}, {'a': 9, 'b': 6}, {'a': 12, 'b': 8}, {'a': 15, 'b': 10}]), ('outsider signs', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'c'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('overassigned award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 4, 'b': 4}, {'a': 8, 'b': 8}, {'a': 12, 'b': 12}, {'a': 16, 'b': 16}, {'a': 20, 'b': 20}]), ('existing replacement', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'a', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('all signed', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'b'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('outsider representative', {'members': ['a', 'b'], 'representative': 'c', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('single lot mandate', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('unallocated award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 6, 'b': 6}, {'a': 12, 'b': 12}, {'a': 18, 'b': 18}, {'a': 24, 'b': 24}, {'a': 30, 'b': 30}])]\ndef vary(value):\n if type(value) is int: return value*N\n if isinstance(value,list): return [vary(v) for v in value]\n if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}\n return value\nfor label, request, expected in fixtures:\n check(label, solve(vary(request))['joint-exposure'], expected[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":"d8e4bcf3563fa9a79b5215b838f3f8cc768e187763cdd74fcfe9ad61d3fbc4cd","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    v0 = x[\"representative\"] in x[\"members\"]\n    v1 = set(x[\"members\"])<=set(x[\"signers\"])\n    v2 = all(set(x[\"lots\"])<=set(x[\"approved_lots\"].get(m,[])) for m in x[\"members\"])\n    v3 = sum(x[\"shares\"].get(m,0) for m in x[\"members\"])==x[\"award\"]\n    v4 = all(x[\"shares\"].get(m,0)==0 for m in x[\"exits\"])\n    v5 = x[\"replacement\"] in x[\"approved_members\"] and x[\"replacement\"] not in x[\"members\"]\n    v6 = not any(set(x[\"affiliates\"].get(m,[]))&set(x[\"rivals\"]) for m in x[\"members\"])\n    v7 = x[\"shares\"]\n    v8 = all(x[\"shares\"].get(m,0)<=x[\"member_caps\"].get(m,0) for m in x[\"members\"])\n    v9 = not x[\"dissolved\"] and all(x[\"payments\"].get(m,0)>=x[\"required\"].get(m,0) for m in x[\"members\"])\n    return {'representative-membership':v0,'unanimous-bid-signature':v1,'joint-lot-mandate':v2,'share-conservation':v3,'exit-assignment-guard':v4,'replacement-member-approval':v5,'affiliate-rival-exclusion':v6,'joint-exposure':v7,'member-cap-certification':v8,'dissolution-settlement':v9}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [('normal contract', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('member not signer', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('several liabilities', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': False, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 3, 'b': 2}, {'a': 6, 'b': 4}, {'a': 9, 'b': 6}, {'a': 12, 'b': 8}, {'a': 15, 'b': 10}]), ('member not signer / several liabilities', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': False, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 3, 'b': 2}, {'a': 6, 'b': 4}, {'a': 9, 'b': 6}, {'a': 12, 'b': 8}, {'a': 15, 'b': 10}]), ('outsider signs', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'c'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('overassigned award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 4, 'b': 4}, {'a': 8, 'b': 8}, {'a': 12, 'b': 12}, {'a': 16, 'b': 16}, {'a': 20, 'b': 20}]), ('existing replacement', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'a', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('all signed', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'b'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('outsider representative', {'members': ['a', 'b'], 'representative': 'c', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('single lot mandate', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('unallocated award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 6, 'b': 6}, {'a': 12, 'b': 12}, {'a': 18, 'b': 18}, {'a': 24, 'b': 24}, {'a': 30, 'b': 30}])]\ndef vary(value):\n if type(value) is int: return value*N\n if isinstance(value,list): return [vary(v) for v in value]\n if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}\n return value\nfor label, request, expected in fixtures:\n check(label, solve(vary(request))['joint-exposure'], expected[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"},"fixed":{"sha256":"4a10f7791f1be2d986976e0968242f992414532f09cb37ceb800aa26c185d3a6","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    v0 = x[\"representative\"] in x[\"members\"]\n    v1 = set(x[\"members\"])<=set(x[\"signers\"])\n    v2 = all(set(x[\"lots\"])<=set(x[\"approved_lots\"].get(m,[])) for m in x[\"members\"])\n    v3 = sum(x[\"shares\"].get(m,0) for m in x[\"members\"])==x[\"award\"]\n    v4 = all(x[\"shares\"].get(m,0)==0 for m in x[\"exits\"])\n    v5 = x[\"replacement\"] in x[\"approved_members\"] and x[\"replacement\"] not in x[\"members\"]\n    v6 = not any(set(x[\"affiliates\"].get(m,[]))&set(x[\"rivals\"]) for m in x[\"members\"])\n    v7 = {m:x[\"award\"] if x[\"joint\"] else x[\"shares\"].get(m,0) for m in x[\"members\"]}\n    v8 = all(x[\"shares\"].get(m,0)<=x[\"member_caps\"].get(m,0) for m in x[\"members\"])\n    v9 = not x[\"dissolved\"] and all(x[\"payments\"].get(m,0)>=x[\"required\"].get(m,0) for m in x[\"members\"])\n    return {'representative-membership':v0,'unanimous-bid-signature':v1,'joint-lot-mandate':v2,'share-conservation':v3,'exit-assignment-guard':v4,'replacement-member-approval':v5,'affiliate-rival-exclusion':v6,'joint-exposure':v7,'member-cap-certification':v8,'dissolution-settlement':v9}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [('normal contract', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('member not signer', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('several liabilities', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': False, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 3, 'b': 2}, {'a': 6, 'b': 4}, {'a': 9, 'b': 6}, {'a': 12, 'b': 8}, {'a': 15, 'b': 10}]), ('member not signer / several liabilities', {'members': ['a', 'b'], 'representative': 'b', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': False, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 3, 'b': 2}, {'a': 6, 'b': 4}, {'a': 9, 'b': 6}, {'a': 12, 'b': 8}, {'a': 15, 'b': 10}]), ('outsider signs', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'c'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('overassigned award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 4, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 4, 'b': 4}, {'a': 8, 'b': 8}, {'a': 12, 'b': 12}, {'a': 16, 'b': 16}, {'a': 20, 'b': 20}]), ('existing replacement', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'a', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('all signed', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a', 'b'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('outsider representative', {'members': ['a', 'b'], 'representative': 'c', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('single lot mandate', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1'], 'shares': {'a': 3, 'b': 2}, 'award': 5, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 5, 'b': 5}, {'a': 10, 'b': 10}, {'a': 15, 'b': 15}, {'a': 20, 'b': 20}, {'a': 25, 'b': 25}]), ('unallocated award', {'members': ['a', 'b'], 'representative': 'a', 'signers': ['a'], 'approved_lots': {'a': ['L1', 'L2'], 'b': ['L1']}, 'lots': ['L1', 'L2'], 'shares': {'a': 3, 'b': 2}, 'award': 6, 'exits': ['b'], 'replacement': 'c', 'approved_members': ['a', 'b'], 'affiliates': {'a': ['x'], 'b': ['y']}, 'rivals': ['y'], 'joint': True, 'member_caps': {'a': 4, 'b': 3}, 'payments': {'a': 3, 'b': 1}, 'required': {'a': 3, 'b': 2}, 'dissolved': False}, [{'a': 6, 'b': 6}, {'a': 12, 'b': 12}, {'a': 18, 'b': 18}, {'a': 24, 'b': 24}, {'a': 30, 'b': 30}])]\ndef vary(value):\n if type(value) is int: return value*N\n if isinstance(value,list): return [vary(v) for v in value]\n if isinstance(value,dict): return {k:(v if k in ['count', 'delivery_index', 'disputed', 'maximum_set', 'minimum_set', 'stage', 'threshold', 'waived'] else vary(v)) for k,v in value.items()}\n return value\nfor label, request, expected in fixtures:\n check(label, solve(vary(request))['joint-exposure'], expected[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":"Stipulated toy auction rules, not a venue specification, financial advice, optimization claim, or live trading implementation. Nonnegative integer inputs and internally aligned list fields only. 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-auction-allocation-rules-consortium-bid-joint-exposure","generated_at":"2026-09-29T14:46:13.250049+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Offline administrative auction model for software failure analysis.","repair":"For joint exposure, apply the stipulated decision {m:x[\"award\"] if x[\"joint\"] else x[\"shares\"].get(m,0) for m in x[\"members\"]}.","root_cause":"Joint and several award obligations are interchanged.","sha256":"f0bee647c241f4265bb730a6e8d7e447a5f0528986a61e63ccf96dd6c9e52e44","title":"Consortium bid: joint exposure · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":43.137,"exit_code":1,"observations":[{"actual":{"a":5,"b":5},"check":"normal contract","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"member not signer","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"several liabilities","expected":{"a":3,"b":2},"passed":false},{"actual":{"a":5,"b":5},"check":"member not signer / several liabilities","expected":{"a":3,"b":2},"passed":false},{"actual":{"a":5,"b":5},"check":"outsider signs","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":4,"b":4},"check":"overassigned award","expected":{"a":4,"b":4},"passed":true},{"actual":{"a":5,"b":5},"check":"existing replacement","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"all signed","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"outsider representative","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"single lot mandate","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":6,"b":6},"check":"unallocated award","expected":{"a":6,"b":6},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"normal contract\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"member not signer\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"several liabilities\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 3, \"b\": 2}, \"passed\": false}, {\"check\": \"member not signer / several liabilities\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 3, \"b\": 2}, \"passed\": false}, {\"check\": \"outsider signs\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"overassigned award\", \"actual\": {\"a\": 4, \"b\": 4}, \"expected\": {\"a\": 4, \"b\": 4}, \"passed\": true}, {\"check\": \"existing replacement\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"all signed\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"outsider representative\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"single lot mandate\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"unallocated award\", \"actual\": {\"a\": 6, \"b\": 6}, \"expected\": {\"a\": 6, \"b\": 6}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":42.212,"exit_code":1,"observations":[{"actual":{"a":3,"b":2},"check":"normal contract","expected":{"a":5,"b":5},"passed":false},{"actual":{"a":3,"b":2},"check":"member not signer","expected":{"a":5,"b":5},"passed":false},{"actual":{"a":3,"b":2},"check":"several liabilities","expected":{"a":3,"b":2},"passed":true},{"actual":{"a":3,"b":2},"check":"member not signer / several liabilities","expected":{"a":3,"b":2},"passed":true},{"actual":{"a":3,"b":2},"check":"outsider signs","expected":{"a":5,"b":5},"passed":false},{"actual":{"a":3,"b":2},"check":"overassigned award","expected":{"a":4,"b":4},"passed":false},{"actual":{"a":3,"b":2},"check":"existing replacement","expected":{"a":5,"b":5},"passed":false},{"actual":{"a":3,"b":2},"check":"all signed","expected":{"a":5,"b":5},"passed":false},{"actual":{"a":3,"b":2},"check":"outsider representative","expected":{"a":5,"b":5},"passed":false},{"actual":{"a":3,"b":2},"check":"single lot mandate","expected":{"a":5,"b":5},"passed":false},{"actual":{"a":3,"b":2},"check":"unallocated award","expected":{"a":6,"b":6},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"normal contract\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": false}, {\"check\": \"member not signer\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": false}, {\"check\": \"several liabilities\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 3, \"b\": 2}, \"passed\": true}, {\"check\": \"member not signer / several liabilities\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 3, \"b\": 2}, \"passed\": true}, {\"check\": \"outsider signs\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": false}, {\"check\": \"overassigned award\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 4, \"b\": 4}, \"passed\": false}, {\"check\": \"existing replacement\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": false}, {\"check\": \"all signed\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": false}, {\"check\": \"outsider representative\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": false}, {\"check\": \"single lot mandate\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": false}, {\"check\": \"unallocated award\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 6, \"b\": 6}, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.579,"exit_code":0,"observations":[{"actual":{"a":5,"b":5},"check":"normal contract","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"member not signer","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":3,"b":2},"check":"several liabilities","expected":{"a":3,"b":2},"passed":true},{"actual":{"a":3,"b":2},"check":"member not signer / several liabilities","expected":{"a":3,"b":2},"passed":true},{"actual":{"a":5,"b":5},"check":"outsider signs","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":4,"b":4},"check":"overassigned award","expected":{"a":4,"b":4},"passed":true},{"actual":{"a":5,"b":5},"check":"existing replacement","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"all signed","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"outsider representative","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":5,"b":5},"check":"single lot mandate","expected":{"a":5,"b":5},"passed":true},{"actual":{"a":6,"b":6},"check":"unallocated award","expected":{"a":6,"b":6},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"normal contract\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"member not signer\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"several liabilities\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 3, \"b\": 2}, \"passed\": true}, {\"check\": \"member not signer / several liabilities\", \"actual\": {\"a\": 3, \"b\": 2}, \"expected\": {\"a\": 3, \"b\": 2}, \"passed\": true}, {\"check\": \"outsider signs\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"overassigned award\", \"actual\": {\"a\": 4, \"b\": 4}, \"expected\": {\"a\": 4, \"b\": 4}, \"passed\": true}, {\"check\": \"existing replacement\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"all signed\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"outsider representative\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"single lot mandate\", \"actual\": {\"a\": 5, \"b\": 5}, \"expected\": {\"a\": 5, \"b\": 5}, \"passed\": true}, {\"check\": \"unallocated award\", \"actual\": {\"a\": 6, \"b\": 6}, \"expected\": {\"a\": 6, \"b\": 6}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}