FA-56521 / Auction allocation rules / Open access

Package conditions: seller consent scope · case 01

Consent for one seller item approves all bundled items.

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

ROOT CAUSE

Consent for one seller item approves all bundled items.

VERIFIED REPAIR

Require consent for exactly the seller items included in the award.

Unsuccessful approach: The attempted repair uses set(x["seller_items"])<=set(x["consents"]); the explicit regression cases demonstrate that this still violates the stipulated auction rule.

Case contract

Auction package certification operates on item sets, declared item quantities and a dependency graph already known acyclic. It reports whether a proposed award respects must-link, excludes, prerequisites, lots offered, exact package quantities, and a seller consent rule. All package item identifiers are strings. Named decision seller-consent-scope: Require consent for exactly the seller items included in the 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 = not set(x["won"])&set(x["required"]) or set(x["required"])<=set(x["won"])
    v1 = not set(x["won"])&set(x["forbidden"])
    v2 = set(x["won"])<=set(x["available"])
    v3 = all(set(x["prerequisites"].get(i,[]))<=set(x["won"]) for i in x["won"])
    v4 = all(x["counts"].get(i,0)==q for i,q in x["wanted"].items())
    v5 = sum(set(a)<=set(x["won"]) for a in x["alternatives"])<=1
    v6 = bool(set(x["won"])&set(x["consents"]))
    v7 = all(len(set(a)&set(x["won"]))<=1 for a in x["substitutes"])
    v8 = set(x["split"])<=set(x["divisible"])
    v9 = not set(x["won"])&set(x["previous"])
    return {'must-link-completeness':v0,'negative-package-clause':v1,'offered-inventory':v2,'dependency-closure':v3,'exact-quantity-contract':v4,'alternative-activation':v5,'seller-consent-scope':v6,'substitute-collision':v7,'divisibility-certificate':v8,'prior-package-encumbrance':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('partial exclusion set', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['B', 'C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('nothing awarded', {'won': [], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('partial bundle', {'won': ['A'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('multi prerequisite', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A', 'C']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('mixed split certificate', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['A', 'B'], 'previous': ['C']}, [False, False, False, False, False]), ('blocked bundle', {'won': ['A', 'C'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('unoffered item', {'won': ['D'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('full consent', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A', 'B'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [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))['seller-consent-scope'], 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	`True`	`False`	Failed
partial exclusion set	`True`	`False`	Failed
nothing awarded	`False`	`True`	Failed
partial bundle	`True`	`True`	Passed
multi prerequisite	`True`	`False`	Failed
mixed split certificate	`True`	`False`	Failed
blocked bundle	`True`	`True`	Passed
unoffered item	`False`	`True`	Failed
full consent	`True`	`True`	Passed

SHA-256 / 9c632f98b06f25408a3164c001e770934130d11bd3d8827ef46dba90455072b7

2 / The unsuccessful fix

Exit 1

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

N = 1
observations = []
def solve(x):
    v0 = not set(x["won"])&set(x["required"]) or set(x["required"])<=set(x["won"])
    v1 = not set(x["won"])&set(x["forbidden"])
    v2 = set(x["won"])<=set(x["available"])
    v3 = all(set(x["prerequisites"].get(i,[]))<=set(x["won"]) for i in x["won"])
    v4 = all(x["counts"].get(i,0)==q for i,q in x["wanted"].items())
    v5 = sum(set(a)<=set(x["won"]) for a in x["alternatives"])<=1
    v6 = set(x["seller_items"])<=set(x["consents"])
    v7 = all(len(set(a)&set(x["won"]))<=1 for a in x["substitutes"])
    v8 = set(x["split"])<=set(x["divisible"])
    v9 = not set(x["won"])&set(x["previous"])
    return {'must-link-completeness':v0,'negative-package-clause':v1,'offered-inventory':v2,'dependency-closure':v3,'exact-quantity-contract':v4,'alternative-activation':v5,'seller-consent-scope':v6,'substitute-collision':v7,'divisibility-certificate':v8,'prior-package-encumbrance':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('partial exclusion set', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['B', 'C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('nothing awarded', {'won': [], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('partial bundle', {'won': ['A'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('multi prerequisite', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A', 'C']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('mixed split certificate', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['A', 'B'], 'previous': ['C']}, [False, False, False, False, False]), ('blocked bundle', {'won': ['A', 'C'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('unoffered item', {'won': ['D'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('full consent', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A', 'B'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [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))['seller-consent-scope'], 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	`False`	`False`	Passed
partial exclusion set	`False`	`False`	Passed
nothing awarded	`False`	`True`	Failed
partial bundle	`False`	`True`	Failed
multi prerequisite	`False`	`False`	Passed
mixed split certificate	`False`	`False`	Passed
blocked bundle	`False`	`True`	Failed
unoffered item	`False`	`True`	Failed
full consent	`True`	`True`	Passed

SHA-256 / 54ef21fdf436f39b9dffa98f26d6b6f8f4bb9c4a3cb175285f19de942424c6d7

3 / The verified repair

Exit 0

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

N = 1
observations = []
def solve(x):
    v0 = not set(x["won"])&set(x["required"]) or set(x["required"])<=set(x["won"])
    v1 = not set(x["won"])&set(x["forbidden"])
    v2 = set(x["won"])<=set(x["available"])
    v3 = all(set(x["prerequisites"].get(i,[]))<=set(x["won"]) for i in x["won"])
    v4 = all(x["counts"].get(i,0)==q for i,q in x["wanted"].items())
    v5 = sum(set(a)<=set(x["won"]) for a in x["alternatives"])<=1
    v6 = set(x["won"])&set(x["seller_items"])<=set(x["consents"])
    v7 = all(len(set(a)&set(x["won"]))<=1 for a in x["substitutes"])
    v8 = set(x["split"])<=set(x["divisible"])
    v9 = not set(x["won"])&set(x["previous"])
    return {'must-link-completeness':v0,'negative-package-clause':v1,'offered-inventory':v2,'dependency-closure':v3,'exact-quantity-contract':v4,'alternative-activation':v5,'seller-consent-scope':v6,'substitute-collision':v7,'divisibility-certificate':v8,'prior-package-encumbrance':v9}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('partial exclusion set', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['B', 'C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('nothing awarded', {'won': [], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('partial bundle', {'won': ['A'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('multi prerequisite', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A', 'C']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [False, False, False, False, False]), ('mixed split certificate', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['A', 'B'], 'previous': ['C']}, [False, False, False, False, False]), ('blocked bundle', {'won': ['A', 'C'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('unoffered item', {'won': ['D'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [True, True, True, True, True]), ('full consent', {'won': ['A', 'B'], 'required': ['A', 'B'], 'forbidden': ['C'], 'available': ['A', 'B', 'C'], 'prerequisites': {'B': ['A'], 'C': ['B']}, 'counts': {'A': 2, 'B': 1}, 'wanted': {'A': 2, 'B': 1}, 'alternatives': [['A', 'B'], ['C']], 'consents': ['A', 'B'], 'seller_items': ['A', 'B'], 'substitutes': [['A', 'C']], 'divisible': ['A'], 'split': ['B'], 'previous': ['C']}, [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))['seller-consent-scope'], 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	`False`	`False`	Passed
partial exclusion set	`False`	`False`	Passed
nothing awarded	`True`	`True`	Passed
partial bundle	`True`	`True`	Passed
multi prerequisite	`False`	`False`	Passed
mixed split certificate	`False`	`False`	Passed
blocked bundle	`True`	`True`	Passed
unoffered item	`True`	`True`	Passed
full consent	`True`	`True`	Passed

SHA-256 / 639a4442028b84d65cb858dee4c4b6ec53e98448fc3c1f6bb16443da8585052b

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 2026-09-29T14:46:07.874343+00:00.

Case digest / b511d4cbfc4c0d6727928ad1d24cc9dd4dfd812a2355e1902a0ad46f8a2fd4dd