FA-57126 / Auction allocation rules / Open access

Lot partition: child certificates · case 01

Parent certification is treated as an issued certificate for every child.

Verified by executionVariant 1 · 9 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Parent certification is treated as an issued certificate for every child.

THE FAILURE

Parent certification is treated as an issued certificate for every child.

Unsuccessful approach: The attempted repair uses x["children"]; 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 child-certificates: For child certificates, apply the stipulated decision [c for c in x["children"] if c in x["child_certified"]].

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 = x["children"] if x["parent"] in x["certified"] else []
    v8 = [] if x["merge"] else [c for c in x["children"] if c not in x["withdrawn"]]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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']])]
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))['child-certificates'], 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']`	Failed
minimum child exactly	`['P1', 'P2']`	`['P1']`	Failed
accepted partition	`['P1', 'P2']`	`['P1']`	Failed
missing quantity	`['P1', 'P2']`	`['P1']`	Failed
excess quantity	`['P1', 'P2']`	`['P1']`	Failed
unique serials	`['P1', 'P2']`	`['P1']`	Failed
missing provenance	`['P1', 'P2']`	`['P1']`	Failed
all certified	`['P1', 'P2']`	`['P1', 'P2']`	Passed
merged children	`['P1', 'P2']`	`['P1']`	Failed

SHA-256 / 4df0616bc66dba08434ad375bb54f466f9c030bf23216727bb579a9c00b8147c

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 = x["children"]
    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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']]), ('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'], ['P1'], ['P1'], ['P1'], ['P1']])]
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))['child-certificates'], 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']`	Failed
minimum child exactly	`['P1', 'P2']`	`['P1']`	Failed
accepted partition	`['P1', 'P2']`	`['P1']`	Failed
missing quantity	`['P1', 'P2']`	`['P1']`	Failed
excess quantity	`['P1', 'P2']`	`['P1']`	Failed
unique serials	`['P1', 'P2']`	`['P1']`	Failed
missing provenance	`['P1', 'P2']`	`['P1']`	Failed
all certified	`['P1', 'P2']`	`['P1', 'P2']`	Passed
merged children	`['P1', 'P2']`	`['P1']`	Failed

SHA-256 / 0656bf0499438557901f22f4597f29e8378094975d1663661de0a65b4abc0192

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 9 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

Member access is invitation-based. Sign in with your invited account to inspect the repair.

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 2026-09-29T14:46:13.672333+00:00.

Case digest / 5a623942bf7c6d3b32f8bcb6d06a1222bbdd5f374fbd24c35005b46b45e8166e