FA-57106 / Auction allocation rules / Open access
Lot partition: reservation inheritance · case 01
Parent encumbrance is lost or inherited from an unrelated child reservation.
ROOT CAUSE
Parent encumbrance is lost or inherited from an unrelated child reservation.
VERIFIED REPAIR
For reservation inheritance, apply the stipulated decision x["children"] if x["parent"] in x["reserved"] else [].
Unsuccessful approach: The attempted repair uses x["children"] if x["reserved"] else []; 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 reservation-inheritance: For reservation inheritance, apply the stipulated decision x["children"] if x["parent"] in x["reserved"] else [].
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 = []
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v8 = [] if x["merge"] else [c for c in x["children"] if c not in x["withdrawn"]]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 = [('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('child only reserved', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P1'], '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}, [[], [], [], [], []]), ('minimum child exactly / child only reserved', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P1'], '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}, [[], [], [], [], []]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']])]
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))['reservation-inheritance'], 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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| normal contract | [] | ['P1', 'P2'] | Failed |
| minimum child exactly | [] | ['P1', 'P2'] | Failed |
| child only reserved | [] | [] | Passed |
| minimum child exactly / child only reserved | [] | [] | Passed |
| accepted partition | [] | ['P1', 'P2'] | Failed |
| missing quantity | [] | ['P1', 'P2'] | Failed |
| excess quantity | [] | ['P1', 'P2'] | Failed |
| unique serials | [] | ['P1', 'P2'] | Failed |
| missing provenance | [] | ['P1', 'P2'] | Failed |
| all certified | [] | ['P1', 'P2'] | Failed |
| merged children | [] | ['P1', 'P2'] | Failed |
SHA-256 / 48f2d98965cb6d27c3eab8afba045babfc1fa4efe6d9403313d27d130a8833e8
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["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 = [('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('child only reserved', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P1'], '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}, [[], [], [], [], []]), ('minimum child exactly / child only reserved', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P1'], '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}, [[], [], [], [], []]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']])]
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))['reservation-inheritance'], 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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| normal contract | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| minimum child exactly | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| child only reserved | ['P1', 'P2'] | [] | Failed |
| minimum child exactly / child only reserved | ['P1', 'P2'] | [] | Failed |
| accepted partition | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| missing quantity | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| excess quantity | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| unique serials | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| missing provenance | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| all certified | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| merged children | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
SHA-256 / 949a4c7f409a210be30e2ab905c6bbdd00a41d431ee34e952f85f979484d7793
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 = [('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('child only reserved', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [3, 5], 'parent_size': 8, 'accepted': False, 'reserved': ['P1'], '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}, [[], [], [], [], []]), ('minimum child exactly / child only reserved', {'parent': 'P', 'children': ['P1', 'P2'], 'sizes': [2, 6], 'parent_size': 8, 'accepted': False, 'reserved': ['P1'], '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}, [[], [], [], [], []]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']]), ('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}, [['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2'], ['P1', 'P2']])]
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))['reservation-inheritance'], 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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| normal contract | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| minimum child exactly | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| child only reserved | [] | [] | Passed |
| minimum child exactly / child only reserved | [] | [] | Passed |
| accepted partition | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| missing quantity | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| excess quantity | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| unique serials | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| missing provenance | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| all certified | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
| merged children | ['P1', 'P2'] | ['P1', 'P2'] | Passed |
SHA-256 / ecf08e10489a7a25d6327fd065ae3e62a3d17fd495c643378a7488835c6a4a5a
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 2026-09-29T14:46:13.595124+00:00.
Case digest / 8fd7bbbd156ac1ed9a30621ac2e145d0974b53d55d06045f1fcacbf6db0f455b