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FA-57136 / Auction allocation rules / Open access

Lot partition: minimum child size · case 01

Parent total size hides an undersized child lot.

Verified by executionVariant 1 · 12 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Parent total size hides an undersized child lot.

VERIFIED REPAIR

For minimum child size, apply the stipulated decision all(q>=x["minimum"] for q in x["sizes"]).

Unsuccessful approach: The attempted repair uses all(q>x["minimum"] for q in x["sizes"]); 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 minimum-child-size: For minimum child size, apply the stipulated decision all(q>=x["minimum"] for q in x["sizes"]).

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    v8 = [] if x["merge"] else [c for c in x["children"] if c not in x["withdrawn"]]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 = sum(x["sizes"])>=x["minimum"]
    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 = [('below minimum child', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [1, 7], '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 / below minimum child', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [1, 7], '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', {'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]), ('minimum child exactly / accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], '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]), ('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]), ('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]), ('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}, [True, True, True, True, True]), ('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}, [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))['minimum-child-size'], 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
below minimum childTrueFalseFailed
minimum child exactly / below minimum childTrueFalseFailed
minimum child exactlyTrueTruePassed
minimum child exactly / accepted partitionTrueTruePassed
normal contractTrueTruePassed
accepted partitionTrueTruePassed
missing quantityTrueTruePassed
excess quantityTrueTruePassed
unique serialsTrueTruePassed
missing provenanceTrueTruePassed
all certifiedTrueTruePassed
merged childrenTrueTruePassed

SHA-256 / a0d17e584c3f2107afc8f45c31253b31a38a73b9be9b57d46b623c698c76598c

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 = [('below minimum child', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [1, 7], '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 / below minimum child', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [1, 7], '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', {'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]), ('minimum child exactly / accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], '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]), ('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]), ('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]), ('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}, [True, True, True, True, True]), ('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}, [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))['minimum-child-size'], 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
below minimum childFalseFalsePassed
minimum child exactly / below minimum childFalseFalsePassed
minimum child exactlyFalseTrueFailed
minimum child exactly / accepted partitionFalseTrueFailed
normal contractTrueTruePassed
accepted partitionTrueTruePassed
missing quantityTrueTruePassed
excess quantityTrueTruePassed
unique serialsTrueTruePassed
missing provenanceTrueTruePassed
all certifiedTrueTruePassed
merged childrenTrueTruePassed

SHA-256 / 188c59168713fd3da1456e9ba19b2c397d0da27c969bcd7877f34475f381ab4f

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 = [('below minimum child', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [1, 7], '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 / below minimum child', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [1, 7], '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', {'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]), ('minimum child exactly / accepted partition', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], '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]), ('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]), ('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]), ('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}, [True, True, True, True, True]), ('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}, [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))['minimum-child-size'], 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
below minimum childFalseFalsePassed
minimum child exactly / below minimum childFalseFalsePassed
minimum child exactlyTrueTruePassed
minimum child exactly / accepted partitionTrueTruePassed
normal contractTrueTruePassed
accepted partitionTrueTruePassed
missing quantityTrueTruePassed
excess quantityTrueTruePassed
unique serialsTrueTruePassed
missing provenanceTrueTruePassed
all certifiedTrueTruePassed
merged childrenTrueTruePassed

SHA-256 / 9829377ccb29b39b05277d05a30d71883ec47c76524d5326ced0088dd3a1fcd8

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 2026-09-29T14:46:13.687988+00:00.

Case digest / 16c8f662af9a50265d6a4e41ca9b166d9d7975ea27e32a545958b056a8842437