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Consortium bid: share conservation · case 01

Consortium award shares leave units unassigned or overassigned.

Verified by executionVariant 1 · 11 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Consortium award shares leave units unassigned or overassigned.

VERIFIED REPAIR

For share conservation, apply the stipulated decision sum(x["shares"].get(m,0) for m in x["members"])==x["award"].

Unsuccessful approach: The attempted repair uses sum(x["shares"].values())>=x["award"]; the explicit regression cases demonstrate that this still violates the stipulated auction rule.

Case 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 share-conservation: For share conservation, apply the stipulated decision sum(x["shares"].get(m,0) for m in x["members"])==x["award"].

Why this case matters

Offline administrative auction model for software failure analysis.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    v0 = x["representative"] in x["members"]
    v1 = set(x["members"])<=set(x["signers"])
    v2 = all(set(x["lots"])<=set(x["approved_lots"].get(m,[])) for m in x["members"])
    v3 = sum(x["shares"].values())<=x["award"]
    v4 = all(x["shares"].get(m,0)==0 for m in x["exits"])
    v5 = x["replacement"] in x["approved_members"] and x["replacement"] not in x["members"]
    v6 = not any(set(x["affiliates"].get(m,[]))&set(x["rivals"]) for m in x["members"])
    v7 = {m:x["award"] if x["joint"] else x["shares"].get(m,0) for m in x["members"]}
    v8 = all(x["shares"].get(m,0)<=x["member_caps"].get(m,0) for m in x["members"])
    v9 = not x["dissolved"] and all(x["payments"].get(m,0)>=x["required"].get(m,0) for m in x["members"])
    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}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('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}, [False, False, False, False, False]), ('member not signer / unallocated award', {'members': ['a', 'b'], 'representative': 'b', '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}, [False, False, False, False, False]), ('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}, [False, False, False, False, False]), ('member not signer / overassigned award', {'members': ['a', 'b'], 'representative': 'b', '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}, [False, False, False, False, False]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True])]
def vary(value):
 if type(value) is int: return value*N
 if isinstance(value,list): return [vary(v) for v in value]
 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()}
 return value
for label, request, expected in fixtures:
 check(label, solve(vary(request))['share-conservation'], expected[N-1])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
unallocated awardTrueFalseFailed
member not signer / unallocated awardTrueFalseFailed
overassigned awardFalseFalsePassed
member not signer / overassigned awardFalseFalsePassed
normal contractTrueTruePassed
member not signerTrueTruePassed
outsider signsTrueTruePassed
existing replacementTrueTruePassed
all signedTrueTruePassed
outsider representativeTrueTruePassed
single lot mandateTrueTruePassed

SHA-256 / ac2b8c10411b93ccb4a249b7496a01f49b951f06b970a5d85554cf180af6e98d

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    v0 = x["representative"] in x["members"]
    v1 = set(x["members"])<=set(x["signers"])
    v2 = all(set(x["lots"])<=set(x["approved_lots"].get(m,[])) for m in x["members"])
    v3 = sum(x["shares"].values())>=x["award"]
    v4 = all(x["shares"].get(m,0)==0 for m in x["exits"])
    v5 = x["replacement"] in x["approved_members"] and x["replacement"] not in x["members"]
    v6 = not any(set(x["affiliates"].get(m,[]))&set(x["rivals"]) for m in x["members"])
    v7 = {m:x["award"] if x["joint"] else x["shares"].get(m,0) for m in x["members"]}
    v8 = all(x["shares"].get(m,0)<=x["member_caps"].get(m,0) for m in x["members"])
    v9 = not x["dissolved"] and all(x["payments"].get(m,0)>=x["required"].get(m,0) for m in x["members"])
    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}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('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}, [False, False, False, False, False]), ('member not signer / unallocated award', {'members': ['a', 'b'], 'representative': 'b', '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}, [False, False, False, False, False]), ('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}, [False, False, False, False, False]), ('member not signer / overassigned award', {'members': ['a', 'b'], 'representative': 'b', '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}, [False, False, False, False, False]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True])]
def vary(value):
 if type(value) is int: return value*N
 if isinstance(value,list): return [vary(v) for v in value]
 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()}
 return value
for label, request, expected in fixtures:
 check(label, solve(vary(request))['share-conservation'], expected[N-1])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
unallocated awardFalseFalsePassed
member not signer / unallocated awardFalseFalsePassed
overassigned awardTrueFalseFailed
member not signer / overassigned awardTrueFalseFailed
normal contractTrueTruePassed
member not signerTrueTruePassed
outsider signsTrueTruePassed
existing replacementTrueTruePassed
all signedTrueTruePassed
outsider representativeTrueTruePassed
single lot mandateTrueTruePassed

SHA-256 / 2c3ab757f4c3146b434ab6353f59e5d9ebf8adbab9a09d1732d9ffabcd8d8e57

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(x):
    v0 = x["representative"] in x["members"]
    v1 = set(x["members"])<=set(x["signers"])
    v2 = all(set(x["lots"])<=set(x["approved_lots"].get(m,[])) for m in x["members"])
    v3 = sum(x["shares"].get(m,0) for m in x["members"])==x["award"]
    v4 = all(x["shares"].get(m,0)==0 for m in x["exits"])
    v5 = x["replacement"] in x["approved_members"] and x["replacement"] not in x["members"]
    v6 = not any(set(x["affiliates"].get(m,[]))&set(x["rivals"]) for m in x["members"])
    v7 = {m:x["award"] if x["joint"] else x["shares"].get(m,0) for m in x["members"]}
    v8 = all(x["shares"].get(m,0)<=x["member_caps"].get(m,0) for m in x["members"])
    v9 = not x["dissolved"] and all(x["payments"].get(m,0)>=x["required"].get(m,0) for m in x["members"])
    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}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('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}, [False, False, False, False, False]), ('member not signer / unallocated award', {'members': ['a', 'b'], 'representative': 'b', '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}, [False, False, False, False, False]), ('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}, [False, False, False, False, False]), ('member not signer / overassigned award', {'members': ['a', 'b'], 'representative': 'b', '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}, [False, False, False, False, False]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True]), ('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}, [True, True, True, True, True])]
def vary(value):
 if type(value) is int: return value*N
 if isinstance(value,list): return [vary(v) for v in value]
 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()}
 return value
for label, request, expected in fixtures:
 check(label, solve(vary(request))['share-conservation'], expected[N-1])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
unallocated awardFalseFalsePassed
member not signer / unallocated awardFalseFalsePassed
overassigned awardFalseFalsePassed
member not signer / overassigned awardFalseFalsePassed
normal contractTrueTruePassed
member not signerTrueTruePassed
outsider signsTrueTruePassed
existing replacementTrueTruePassed
all signedTrueTruePassed
outsider representativeTrueTruePassed
single lot mandateTrueTruePassed

SHA-256 / aa10efe6de1a7a9c234084135d6ed597b1f34dc1fc7fd3c3517db8a38054ac67

Verification & scope

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.

Observations recorded using Python 3.12.14 at 2026-09-29T14:46:13.003551+00:00.

Case digest / d88d028b711b31d1605ca1a8def2868a078162d24098d4bc182b264e680529a1