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FA-57091 / Auction allocation rules / Open access

Lot partition: partition quantity conservation · case 01

A lot partition destroys or invents saleable parent units.

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

ROOT CAUSE

A lot partition destroys or invents saleable parent units.

VERIFIED REPAIR

For partition quantity conservation, apply the stipulated decision sum(x["sizes"])==x["parent_size"].

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

Case contract

An auction seller partitions one identified parent lot into identified children before award. Child quantities, provenance, certificates and reservation inheritance are audited. Children cannot be independently sold until partition acceptance; a merged lot retires its child sale identifiers. Named decision partition-quantity-conservation: For partition quantity conservation, apply the stipulated decision sum(x["sizes"])==x["parent_size"].

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 = sum(x["sizes"])<=x["parent_size"]
    v1 = [] if x["accepted"] else [x["parent"]]
    v2 = x["children"] if x["accepted"] else []
    v3 = x["children"] if x["parent"] in x["reserved"] else []
    v4 = x["parent"] not in x["sold"] and not set(x["children"])&set(x["sold"])
    v5 = sum(map(len,x["serials"]))==len({s for row in x["serials"] for s in row})
    v6 = {s for row in x["serials"] for s in row}==set(x["parent_serials"])
    v7 = [c for c in x["children"] if c in x["child_certified"]]
    v8 = [] if x["merge"] else [c for c in x["children"] if c not in x["withdrawn"]]
    v9 = all(q>=x["minimum"] for q in x["sizes"])
    return {'partition-quantity-conservation':v0,'parent-retirement':v1,'child-sale-activation':v2,'reservation-inheritance':v3,'sold-parent-partition-block':v4,'serial-disjointness':v5,'serial-coverage':v6,'child-certificates':v7,'merge-retires-children':v8,'minimum-child-size':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('normal contract', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('minimum child exactly', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': True, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('unique serials', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('missing provenance', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('all certified', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1', 'P2'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('merged children', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': True, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [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))['partition-quantity-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
missing quantityTrueFalseFailed
minimum child exactly / missing quantityTrueFalseFailed
excess quantityFalseFalsePassed
minimum child exactly / excess quantityFalseFalsePassed
normal contractTrueTruePassed
minimum child exactlyTrueTruePassed
accepted partitionTrueTruePassed
unique serialsTrueTruePassed
missing provenanceTrueTruePassed
all certifiedTrueTruePassed
merged childrenTrueTruePassed

SHA-256 / 74856bf52c358fe118c700f86393ca23b49901e177b7913546deaae285de215a

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(x):
    v0 = sum(x["sizes"])>=x["parent_size"]
    v1 = [] if x["accepted"] else [x["parent"]]
    v2 = x["children"] if x["accepted"] else []
    v3 = x["children"] if x["parent"] in x["reserved"] else []
    v4 = x["parent"] not in x["sold"] and not set(x["children"])&set(x["sold"])
    v5 = sum(map(len,x["serials"]))==len({s for row in x["serials"] for s in row})
    v6 = {s for row in x["serials"] for s in row}==set(x["parent_serials"])
    v7 = [c for c in x["children"] if c in x["child_certified"]]
    v8 = [] if x["merge"] else [c for c in x["children"] if c not in x["withdrawn"]]
    v9 = all(q>=x["minimum"] for q in x["sizes"])
    return {'partition-quantity-conservation':v0,'parent-retirement':v1,'child-sale-activation':v2,'reservation-inheritance':v3,'sold-parent-partition-block':v4,'serial-disjointness':v5,'serial-coverage':v6,'child-certificates':v7,'merge-retires-children':v8,'minimum-child-size':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('normal contract', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('minimum child exactly', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': True, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('unique serials', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('missing provenance', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('all certified', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1', 'P2'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('merged children', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': True, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [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))['partition-quantity-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
missing quantityFalseFalsePassed
minimum child exactly / missing quantityFalseFalsePassed
excess quantityTrueFalseFailed
minimum child exactly / excess quantityTrueFalseFailed
normal contractTrueTruePassed
minimum child exactlyTrueTruePassed
accepted partitionTrueTruePassed
unique serialsTrueTruePassed
missing provenanceTrueTruePassed
all certifiedTrueTruePassed
merged childrenTrueTruePassed

SHA-256 / 813be37a6339839e9cf39849cda3e467efa4bc72e5b386017a1032d2a04f860b

3 / The verified repair

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

N = 1
observations = []
def solve(x):
    v0 = sum(x["sizes"])==x["parent_size"]
    v1 = [] if x["accepted"] else [x["parent"]]
    v2 = x["children"] if x["accepted"] else []
    v3 = x["children"] if x["parent"] in x["reserved"] else []
    v4 = x["parent"] not in x["sold"] and not set(x["children"])&set(x["sold"])
    v5 = sum(map(len,x["serials"]))==len({s for row in x["serials"] for s in row})
    v6 = {s for row in x["serials"] for s in row}==set(x["parent_serials"])
    v7 = [c for c in x["children"] if c in x["child_certified"]]
    v8 = [] if x["merge"] else [c for c in x["children"] if c not in x["withdrawn"]]
    v9 = all(q>=x["minimum"] for q in x["sizes"])
    return {'partition-quantity-conservation':v0,'parent-retirement':v1,'child-sale-activation':v2,'reservation-inheritance':v3,'sold-parent-partition-block':v4,'serial-disjointness':v5,'serial-coverage':v6,'child-certificates':v7,'merge-retires-children':v8,'minimum-child-size':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / missing quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 4], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('minimum child exactly / excess quantity', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [5, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [False, False, False, False, False]), ('normal contract', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('minimum child exactly', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': True, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('unique serials', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('missing provenance', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1'], ['s2']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('all certified', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1', 'P2'], 'merge': False, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [True, True, True, True, True]), ('merged children', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P'], 'sold': ['P1'], 'serials': [['s1', 's2'], ['s2', 's3']], 'parent_serials': ['s1', 's2', 's3'], 'certified': ['P'], 'child_certified': ['P1'], 'merge': True, 'withdrawn': ['P2'], 'minimum': 2, 'fees': [2, 3], 'parent_fee': 4}, [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))['partition-quantity-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
missing quantityFalseFalsePassed
minimum child exactly / missing quantityFalseFalsePassed
excess quantityFalseFalsePassed
minimum child exactly / excess quantityFalseFalsePassed
normal contractTrueTruePassed
minimum child exactlyTrueTruePassed
accepted partitionTrueTruePassed
unique serialsTrueTruePassed
missing provenanceTrueTruePassed
all certifiedTrueTruePassed
merged childrenTrueTruePassed

SHA-256 / 6ca8d4770cb92d8cb3027345ea9b761706e62cf6e1a818f0286c5afe98ac7a65

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 2026-09-29T14:46:13.334216+00:00.

Case digest / f27562f70128fc422843d9dc2d9f70ce2dc5f920eb38f8d55c15e1fd063329cf