FA-57161 / Auction allocation rules / Open access
Delivery slot awards: per slot capacity · case 01
Aggregate spare capacity hides an oversold delivery slot.
ROOT CAUSE
Aggregate spare capacity hides an oversold delivery slot.
VERIFIED REPAIR
For per slot capacity, apply the stipulated decision all(x["used"][i]+x["amount"]<=x["capacity"][i] for i in x["requested"] if i in x["slots"]).
Unsuccessful approach: The attempted repair uses all(x["used"][i]<x["capacity"][i] for i in x["requested"] if i in x["slots"]); the explicit regression cases demonstrate that this still violates the stipulated auction rule.
Case contract
An auction awards delivery capacity in discrete named slots. A bid may require several consecutive slots, setup occupies an earlier slot, and cleanup occupies a later slot. Existing commitments and a separate seller maintenance mask must both constrain certificates. No continuous scheduling optimization is claimed. Named decision per-slot-capacity: For per slot capacity, apply the stipulated decision all(x["used"][i]+x["amount"]<=x["capacity"][i] for i in x["requested"] if i in x["slots"]).
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 x["requested"] or sorted(set(x["requested"]))==list(range(min(x["requested"]),max(x["requested"])+1))
v1 = not set(x["requested"])&set(x["occupied"])
v2 = not set(x["requested"])&set(x["maintenance"])
v3 = {i:x["requested"].count(i)*x["amount"] for i in x["requested"]}
v4 = sum(x["used"])+x["amount"]<=sum(x["capacity"])
v5 = list(range(max(0,x["start"]-x["setup"]),x["start"]))
v6 = list(range(x["end"],x["end"]+x["cleanup"]))
v7 = not (set(x["transfer"])&(set(x["occupied"])-set(x["released"])))
v8 = len(set(x["requested"]))==x["duration"]
v9 = list(range(x["start"],x["end"]))
return {'consecutive-slot-package':v0,'occupied-slot-conflict':v1,'maintenance-exclusion':v2,'repeated-slot-demand':v3,'per-slot-capacity':v4,'setup-footprint':v5,'cleanup-footprint':v6,'transfer-release-before-check':v7,'duration-certificate':v8,'end-exclusive-reservation':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('mixed known unknown slots', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 5], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('released occupied slot', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [3], 'duration': 2}, [False, False, False, False, False]), ('extra duration slot', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2, 3], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('gap in award', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 3], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('slot collision', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [2], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('maintenance collision', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [2], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('outside slot', {'slots': [0, 1, 2, 3, 4], 'requested': [5], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [True, True, True, True, True]), ('room for award', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 1, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [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 ['cleanup', 'count', 'delivery_index', 'disputed', 'duration', 'end', 'maintenance', 'maximum_set', 'minimum_set', 'occupied', 'released', 'requested', 'setup', 'slots', 'stage', 'start', 'threshold', 'transfer', 'waived'] else vary(v)) for k,v in value.items()}
return value
for label, request, expected in fixtures:
check(label, solve(vary(request))['per-slot-capacity'], 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 |
| mixed known unknown slots | True | False | Failed |
| released occupied slot | True | False | Failed |
| extra duration slot | True | False | Failed |
| gap in award | True | False | Failed |
| slot collision | True | False | Failed |
| maintenance collision | True | False | Failed |
| outside slot | True | True | Passed |
| room for award | True | True | Passed |
SHA-256 / ac02f499555876db29a32d5ade969d20ef5fe098933c189e952ea30740f06bb6
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
v0 = not x["requested"] or sorted(set(x["requested"]))==list(range(min(x["requested"]),max(x["requested"])+1))
v1 = not set(x["requested"])&set(x["occupied"])
v2 = not set(x["requested"])&set(x["maintenance"])
v3 = {i:x["requested"].count(i)*x["amount"] for i in x["requested"]}
v4 = all(x["used"][i]<x["capacity"][i] for i in x["requested"] if i in x["slots"])
v5 = list(range(max(0,x["start"]-x["setup"]),x["start"]))
v6 = list(range(x["end"],x["end"]+x["cleanup"]))
v7 = not (set(x["transfer"])&(set(x["occupied"])-set(x["released"])))
v8 = len(set(x["requested"]))==x["duration"]
v9 = list(range(x["start"],x["end"]))
return {'consecutive-slot-package':v0,'occupied-slot-conflict':v1,'maintenance-exclusion':v2,'repeated-slot-demand':v3,'per-slot-capacity':v4,'setup-footprint':v5,'cleanup-footprint':v6,'transfer-release-before-check':v7,'duration-certificate':v8,'end-exclusive-reservation':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('mixed known unknown slots', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 5], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('released occupied slot', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [3], 'duration': 2}, [False, False, False, False, False]), ('extra duration slot', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2, 3], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('gap in award', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 3], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('slot collision', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [2], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('maintenance collision', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [2], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('outside slot', {'slots': [0, 1, 2, 3, 4], 'requested': [5], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [True, True, True, True, True]), ('room for award', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 1, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [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 ['cleanup', 'count', 'delivery_index', 'disputed', 'duration', 'end', 'maintenance', 'maximum_set', 'minimum_set', 'occupied', 'released', 'requested', 'setup', 'slots', 'stage', 'start', 'threshold', 'transfer', 'waived'] else vary(v)) for k,v in value.items()}
return value
for label, request, expected in fixtures:
check(label, solve(vary(request))['per-slot-capacity'], 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 |
| mixed known unknown slots | True | False | Failed |
| released occupied slot | True | False | Failed |
| extra duration slot | False | False | Passed |
| gap in award | False | False | Passed |
| slot collision | True | False | Failed |
| maintenance collision | True | False | Failed |
| outside slot | True | True | Passed |
| room for award | True | True | Passed |
SHA-256 / 79fd50d26977be7feaf1c520242170626489b87b59ee16f4c6a5ec98dbe6d03e
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
v0 = not x["requested"] or sorted(set(x["requested"]))==list(range(min(x["requested"]),max(x["requested"])+1))
v1 = not set(x["requested"])&set(x["occupied"])
v2 = not set(x["requested"])&set(x["maintenance"])
v3 = {i:x["requested"].count(i)*x["amount"] for i in x["requested"]}
v4 = all(x["used"][i]+x["amount"]<=x["capacity"][i] for i in x["requested"] if i in x["slots"])
v5 = list(range(max(0,x["start"]-x["setup"]),x["start"]))
v6 = list(range(x["end"],x["end"]+x["cleanup"]))
v7 = not (set(x["transfer"])&(set(x["occupied"])-set(x["released"])))
v8 = len(set(x["requested"]))==x["duration"]
v9 = list(range(x["start"],x["end"]))
return {'consecutive-slot-package':v0,'occupied-slot-conflict':v1,'maintenance-exclusion':v2,'repeated-slot-demand':v3,'per-slot-capacity':v4,'setup-footprint':v5,'cleanup-footprint':v6,'transfer-release-before-check':v7,'duration-certificate':v8,'end-exclusive-reservation':v9}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [('normal contract', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('mixed known unknown slots', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 5], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('released occupied slot', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [3], 'duration': 2}, [False, False, False, False, False]), ('extra duration slot', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2, 3], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('gap in award', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 3], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('slot collision', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [2], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('maintenance collision', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [2], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [False, False, False, False, False]), ('outside slot', {'slots': [0, 1, 2, 3, 4], 'requested': [5], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 2, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [True, True, True, True, True]), ('room for award', {'slots': [0, 1, 2, 3, 4], 'requested': [1, 2], 'occupied': [3], 'maintenance': [0], 'setup': 1, 'cleanup': 1, 'capacity': [2, 2, 2, 2, 2], 'used': [0, 1, 0, 2, 0], 'amount': 1, 'start': 1, 'end': 3, 'transfer': [2, 3], 'released': [1], 'duration': 2}, [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 ['cleanup', 'count', 'delivery_index', 'disputed', 'duration', 'end', 'maintenance', 'maximum_set', 'minimum_set', 'occupied', 'released', 'requested', 'setup', 'slots', 'stage', 'start', 'threshold', 'transfer', 'waived'] else vary(v)) for k,v in value.items()}
return value
for label, request, expected in fixtures:
check(label, solve(vary(request))['per-slot-capacity'], 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 |
| mixed known unknown slots | False | False | Passed |
| released occupied slot | False | False | Passed |
| extra duration slot | False | False | Passed |
| gap in award | False | False | Passed |
| slot collision | False | False | Passed |
| maintenance collision | False | False | Passed |
| outside slot | True | True | Passed |
| room for award | True | True | Passed |
SHA-256 / 9921b2568b9a706085ade1128dac69fda92836d9ad310550f53aeb707fb635e6
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 2026-09-29T14:46:13.988291+00:00.
Case digest / 5596c6c3d588de8f3f7187c13d380a1354820dffa5783cee93799a071c41aa5a