FA-41076 / Heap invariants / Open access
Replacement selection freezes only keys that would decrease the output run · case 01
The bounded replacement selection certificate reports an incorrect frozen.
ROOT CAUSE
Replacement selection freezes only keys that would decrease the output run.
THE FAILURE
Replacement selection freezes only keys that would decrease the output run.
Unsuccessful approach: The local patch uses [] and still violates the stated relation.
Case contract
A replacement-selection external-sort heap receives last emitted key and new records [id,key]. Keys >=last remain active for current run; smaller keys freeze for next run. Return active ids, frozen ids, active sorted order, frozen sorted order, next current-run key, and end-run flag. Equal keys stay active.
Why this case matters
This isolates an internal heap representation or priority-structure invariant using deterministic finite records.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(d):
last=d['last']; a=d['arrivals']; active=[x for x in a if x[1]>=last]; frozen=[x for x in a if x[1]<last]
return {'active': [x[0] for x in active],
'frozen': [x[0] for x in a if x[1]<=last],
'active_order': [x[0] for x in sorted(active,key=lambda x:x[1])],
'frozen_order': [x[0] for x in sorted(frozen,key=lambda x:x[1])],
'next': min((x[1] for x in active),default=None),
'run_ended': not active}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 6, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 7, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 9, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})]][N-1]
check('regression certificate 1', solve(cases[0][0]), cases[0][1])
check('regression certificate 2', solve(cases[1][0]), cases[1][1])
check('regression certificate 3', solve(cases[2][0]), cases[2][1])
check('regression certificate 4', solve(cases[3][0]), cases[3][1])
check('regression certificate 5', solve(cases[4][0]), cases[4][1])
check('regression certificate 6', solve(cases[5][0]), cases[5][1])
check('variant-dependent certificate', solve(cases[6][0]), cases[6][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 |
|---|---|---|---|
| regression certificate 1 | {'active': [], 'active_order': [], 'frozen': [], 'frozen_order': [], 'next': None, 'run_ended': True} | {'active': [], 'active_order': [], 'frozen': [], 'frozen_order': [], 'next': None, 'run_ended': True} | Passed |
| regression certificate 2 | {'active': ['a'], 'active_order': ['a'], 'frozen': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False} | {'active': ['a'], 'active_order': ['a'], 'frozen': [], 'frozen_order': [], 'next': 3, 'run_ended': False} | Failed |
| regression certificate 3 | {'active': ['a', 'c', 'e'], 'active_order': ['c', 'e', 'a'], 'frozen': ['b', 'c', 'd'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False} | {'active': ['a', 'c', 'e'], 'active_order': ['c', 'e', 'a'], 'frozen': ['b', 'd'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False} | Failed |
| regression certificate 4 | {'active': [], 'active_order': [], 'frozen': ['a', 'b', 'c'], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True} | {'active': [], 'active_order': [], 'frozen': ['a', 'b', 'c'], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True} | Passed |
| regression certificate 5 | {'active': ['a', 'b', 'c'], 'active_order': ['b', 'c', 'a'], 'frozen': [], 'frozen_order': [], 'next': 1, 'run_ended': False} | {'active': ['a', 'b', 'c'], 'active_order': ['b', 'c', 'a'], 'frozen': [], 'frozen_order': [], 'next': 1, 'run_ended': False} | Passed |
| regression certificate 6 | {'active': ['a', 'b'], 'active_order': ['a', 'b'], 'frozen': ['a', 'b', 'c'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False} | {'active': ['a', 'b'], 'active_order': ['a', 'b'], 'frozen': ['c'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False} | Failed |
| variant-dependent certificate | {'active': [], 'active_order': [], 'frozen': ['a', 'b', 'c'], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True} | {'active': [], 'active_order': [], 'frozen': ['a', 'b', 'c'], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True} | Passed |
SHA-256 / f075f8850d1e83f8898dc21718cade18cbcd9cce51166428ba67c8b8202731fa
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(d):
last=d['last']; a=d['arrivals']; active=[x for x in a if x[1]>=last]; frozen=[x for x in a if x[1]<last]
return {'active': [x[0] for x in active],
'frozen': [],
'active_order': [x[0] for x in sorted(active,key=lambda x:x[1])],
'frozen_order': [x[0] for x in sorted(frozen,key=lambda x:x[1])],
'next': min((x[1] for x in active),default=None),
'run_ended': not active}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 6, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 7, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})], [({'last': 3, 'arrivals': []}, {'active': [], 'frozen': [], 'active_order': [], 'frozen_order': [], 'next': None, 'run_ended': True}), ({'last': 3, 'arrivals': [['a', 3]]}, {'active': ['a'], 'frozen': [], 'active_order': ['a'], 'frozen_order': [], 'next': 3, 'run_ended': False}), ({'last': 5, 'arrivals': [['a', 7], ['b', 2], ['c', 5], ['d', 1], ['e', 6]]}, {'active': ['a', 'c', 'e'], 'frozen': ['b', 'd'], 'active_order': ['c', 'e', 'a'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False}), ({'last': 8, 'arrivals': [['a', 4], ['b', 2], ['c', 6]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True}), ({'last': 0, 'arrivals': [['a', 3], ['b', 1], ['c', 2]]}, {'active': ['a', 'b', 'c'], 'frozen': [], 'active_order': ['b', 'c', 'a'], 'frozen_order': [], 'next': 1, 'run_ended': False}), ({'last': 4, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': ['a', 'b'], 'frozen': ['c'], 'active_order': ['a', 'b'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False}), ({'last': 9, 'arrivals': [['a', 4], ['b', 4], ['c', 3]]}, {'active': [], 'frozen': ['a', 'b', 'c'], 'active_order': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True})]][N-1]
check('regression certificate 1', solve(cases[0][0]), cases[0][1])
check('regression certificate 2', solve(cases[1][0]), cases[1][1])
check('regression certificate 3', solve(cases[2][0]), cases[2][1])
check('regression certificate 4', solve(cases[3][0]), cases[3][1])
check('regression certificate 5', solve(cases[4][0]), cases[4][1])
check('regression certificate 6', solve(cases[5][0]), cases[5][1])
check('variant-dependent certificate', solve(cases[6][0]), cases[6][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 |
|---|---|---|---|
| regression certificate 1 | {'active': [], 'active_order': [], 'frozen': [], 'frozen_order': [], 'next': None, 'run_ended': True} | {'active': [], 'active_order': [], 'frozen': [], 'frozen_order': [], 'next': None, 'run_ended': True} | Passed |
| regression certificate 2 | {'active': ['a'], 'active_order': ['a'], 'frozen': [], 'frozen_order': [], 'next': 3, 'run_ended': False} | {'active': ['a'], 'active_order': ['a'], 'frozen': [], 'frozen_order': [], 'next': 3, 'run_ended': False} | Passed |
| regression certificate 3 | {'active': ['a', 'c', 'e'], 'active_order': ['c', 'e', 'a'], 'frozen': [], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False} | {'active': ['a', 'c', 'e'], 'active_order': ['c', 'e', 'a'], 'frozen': ['b', 'd'], 'frozen_order': ['d', 'b'], 'next': 5, 'run_ended': False} | Failed |
| regression certificate 4 | {'active': [], 'active_order': [], 'frozen': [], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True} | {'active': [], 'active_order': [], 'frozen': ['a', 'b', 'c'], 'frozen_order': ['b', 'a', 'c'], 'next': None, 'run_ended': True} | Failed |
| regression certificate 5 | {'active': ['a', 'b', 'c'], 'active_order': ['b', 'c', 'a'], 'frozen': [], 'frozen_order': [], 'next': 1, 'run_ended': False} | {'active': ['a', 'b', 'c'], 'active_order': ['b', 'c', 'a'], 'frozen': [], 'frozen_order': [], 'next': 1, 'run_ended': False} | Passed |
| regression certificate 6 | {'active': ['a', 'b'], 'active_order': ['a', 'b'], 'frozen': [], 'frozen_order': ['c'], 'next': 4, 'run_ended': False} | {'active': ['a', 'b'], 'active_order': ['a', 'b'], 'frozen': ['c'], 'frozen_order': ['c'], 'next': 4, 'run_ended': False} | Failed |
| variant-dependent certificate | {'active': [], 'active_order': [], 'frozen': [], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True} | {'active': [], 'active_order': [], 'frozen': ['a', 'b', 'c'], 'frozen_order': ['c', 'a', 'b'], 'next': None, 'run_ended': True} | Failed |
SHA-256 / d455e4b9aa0912fcaff8f67baa2b1508c8bc977b9e25ebce47818ef46acbc1ba
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 7 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.
Sign in to the archive ↗Verification & scope
A stipulated offline diagnostic model; it does not implement a production allocator, concurrency protocol, or complete heap library. 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 2026-09-29T14:43:37.561628+00:00.
Case digest / 140bc97d1784226b17683967377e442030b9fd2d6799ff2d2b64f8d0ead6cc72