FAILURE MAP
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FA-41136 / Heap invariants / Open access

Heap merge frontier advances only the selected run · case 01

The bounded run frontier certificate reports an incorrect offsets.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Heap merge frontier advances only the selected run.

THE FAILURE

Heap merge frontier advances only the selected run.

Unsuccessful approach: The local patch uses offsets and still violates the stated relation.

Case contract

A k-way heap merge frontier stores one cursor per sorted run. A frontier item identifies run r and its current offset. Pop run r current item, advance only its offset, omit exhausted runs, and report next head candidates sorted by (value,run). Return emitted value, cursor vector, heads, exhausted runs, remaining item count, and next run.

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):
    runs=d['runs']; offsets=d['offsets']; r=d['pop_run']; out=list(offsets); value=runs[r][out[r]]; out[r]+=1; heads=sorted([[runs[i][k],i] for i,k in enumerate(out) if k<len(runs[i])])
    return {'emitted': value,
    'offsets': [x+1 for x in offsets],
    'heads': heads,
    'exhausted': [i for i,k in enumerate(out) if k==len(runs[i])],
    'remaining': sum(len(x)-k for x,k in zip(runs,out)),
    'next_run': heads[0][1] if heads else None}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 4], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 4, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 5], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 5, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 6], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 6, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 7], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 7, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 8], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 8, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})]][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 fixtureActualExpectedOutcome
regression certificate 1{'emitted': 1, 'exhausted': [0], 'heads': [], 'next_run': None, 'offsets': [1], 'remaining': 0}{'emitted': 1, 'exhausted': [0], 'heads': [], 'next_run': None, 'offsets': [1], 'remaining': 0}Passed
regression certificate 2{'emitted': 1, 'exhausted': [], 'heads': [[2, 1], [3, 0]], 'next_run': 1, 'offsets': [1, 1], 'remaining': 3}{'emitted': 1, 'exhausted': [], 'heads': [[2, 1], [3, 0]], 'next_run': 1, 'offsets': [1, 0], 'remaining': 3}Failed
regression certificate 3{'emitted': 4, 'exhausted': [], 'heads': [[5, 0], [8, 1]], 'next_run': 0, 'offsets': [2, 2], 'remaining': 3}{'emitted': 4, 'exhausted': [], 'heads': [[5, 0], [8, 1]], 'next_run': 0, 'offsets': [1, 2], 'remaining': 3}Failed
regression certificate 4{'emitted': 2, 'exhausted': [0, 1], 'heads': [[3, 2]], 'next_run': 2, 'offsets': [2, 1, 1], 'remaining': 1}{'emitted': 2, 'exhausted': [0, 1], 'heads': [[3, 2]], 'next_run': 2, 'offsets': [2, 0, 0], 'remaining': 1}Failed
regression certificate 5{'emitted': 1, 'exhausted': [], 'heads': [[1, 0], [3, 1]], 'next_run': 0, 'offsets': [1, 1], 'remaining': 3}{'emitted': 1, 'exhausted': [], 'heads': [[1, 0], [3, 1]], 'next_run': 0, 'offsets': [0, 1], 'remaining': 3}Failed
regression certificate 6{'emitted': 3, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [2, 2], 'remaining': 0}{'emitted': 3, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [2, 1], 'remaining': 0}Failed
variant-dependent certificate{'emitted': 4, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [2, 2], 'remaining': 0}{'emitted': 4, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [2, 1], 'remaining': 0}Failed

SHA-256 / 594c32049c68a64a1bd72b6c584c9a55a27c89bbcee456b4a705263e1444a920

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(d):
    runs=d['runs']; offsets=d['offsets']; r=d['pop_run']; out=list(offsets); value=runs[r][out[r]]; out[r]+=1; heads=sorted([[runs[i][k],i] for i,k in enumerate(out) if k<len(runs[i])])
    return {'emitted': value,
    'offsets': offsets,
    'heads': heads,
    'exhausted': [i for i,k in enumerate(out) if k==len(runs[i])],
    'remaining': sum(len(x)-k for x,k in zip(runs,out)),
    'next_run': heads[0][1] if heads else None}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 4], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 4, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 5], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 5, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 6], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 6, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 7], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 7, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})], [({'runs': [[1]], 'offsets': [0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1], 'heads': [], 'exhausted': [0], 'remaining': 0, 'next_run': None}), ({'runs': [[1, 3], [2, 4]], 'offsets': [0, 0], 'pop_run': 0}, {'emitted': 1, 'offsets': [1, 0], 'heads': [[2, 1], [3, 0]], 'exhausted': [], 'remaining': 3, 'next_run': 1}), ({'runs': [[1, 5, 9], [2, 4, 8]], 'offsets': [1, 1], 'pop_run': 1}, {'emitted': 4, 'offsets': [1, 2], 'heads': [[5, 0], [8, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[1, 2], [], [3]], 'offsets': [1, 0, 0], 'pop_run': 0}, {'emitted': 2, 'offsets': [2, 0, 0], 'heads': [[3, 2]], 'exhausted': [0, 1], 'remaining': 1, 'next_run': 2}), ({'runs': [[1, 4], [1, 3]], 'offsets': [0, 0], 'pop_run': 1}, {'emitted': 1, 'offsets': [0, 1], 'heads': [[1, 0], [3, 1]], 'exhausted': [], 'remaining': 3, 'next_run': 0}), ({'runs': [[2, 3], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 3, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None}), ({'runs': [[2, 8], [1]], 'offsets': [1, 1], 'pop_run': 0}, {'emitted': 8, 'offsets': [2, 1], 'heads': [], 'exhausted': [0, 1], 'remaining': 0, 'next_run': None})]][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 fixtureActualExpectedOutcome
regression certificate 1{'emitted': 1, 'exhausted': [0], 'heads': [], 'next_run': None, 'offsets': [0], 'remaining': 0}{'emitted': 1, 'exhausted': [0], 'heads': [], 'next_run': None, 'offsets': [1], 'remaining': 0}Failed
regression certificate 2{'emitted': 1, 'exhausted': [], 'heads': [[2, 1], [3, 0]], 'next_run': 1, 'offsets': [0, 0], 'remaining': 3}{'emitted': 1, 'exhausted': [], 'heads': [[2, 1], [3, 0]], 'next_run': 1, 'offsets': [1, 0], 'remaining': 3}Failed
regression certificate 3{'emitted': 4, 'exhausted': [], 'heads': [[5, 0], [8, 1]], 'next_run': 0, 'offsets': [1, 1], 'remaining': 3}{'emitted': 4, 'exhausted': [], 'heads': [[5, 0], [8, 1]], 'next_run': 0, 'offsets': [1, 2], 'remaining': 3}Failed
regression certificate 4{'emitted': 2, 'exhausted': [0, 1], 'heads': [[3, 2]], 'next_run': 2, 'offsets': [1, 0, 0], 'remaining': 1}{'emitted': 2, 'exhausted': [0, 1], 'heads': [[3, 2]], 'next_run': 2, 'offsets': [2, 0, 0], 'remaining': 1}Failed
regression certificate 5{'emitted': 1, 'exhausted': [], 'heads': [[1, 0], [3, 1]], 'next_run': 0, 'offsets': [0, 0], 'remaining': 3}{'emitted': 1, 'exhausted': [], 'heads': [[1, 0], [3, 1]], 'next_run': 0, 'offsets': [0, 1], 'remaining': 3}Failed
regression certificate 6{'emitted': 3, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [1, 1], 'remaining': 0}{'emitted': 3, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [2, 1], 'remaining': 0}Failed
variant-dependent certificate{'emitted': 4, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [1, 1], 'remaining': 0}{'emitted': 4, 'exhausted': [0, 1], 'heads': [], 'next_run': None, 'offsets': [2, 1], 'remaining': 0}Failed

SHA-256 / 08955e3461d3aa73510c9f93b6c87dd56a7091de8b9e4b62e70e720e235adc98

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.

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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 2026-09-29T14:43:38.169412+00:00.

Case digest / b2ff08e37f6f261f798303b2c06dd45c1ffdaffb4e90815067bd3afbb6a7246e