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FA-40476 / Heap invariants / Open access

Winner tournament replay uses opposite parity sibling on either branch · case 01

The bounded tournament path certificate reports an incorrect siblings.

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

ROOT CAUSE

Winner tournament replay uses opposite parity sibling on either branch.

THE FAILURE

Winner tournament replay uses opposite parity sibling on either branch.

Unsuccessful approach: The local patch uses [x+1 for x in [leaf]+path[:-1]] and still violates the stated relation.

Case contract

A complete winner tournament has power-of-two leaf capacity c and updated leaf slot s. Tree leaves occupy c+s. Report ancestors in bottom-up replay order, sibling indices along that path, root index, comparison count, leaf index, and unaffected leaf slots. Capacity at least one; slot is in range.

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):
    c=d['capacity']; s=d['slot']; leaf=c+s; path=[]; siblings=[]; v=leaf
    while v>1:
        siblings.append(v^1); v//=2; path.append(v)
    return {'replay': path,
    'siblings': [x-1 for x in [leaf]+path[:-1]],
    'root': 1,
    'comparisons': len(path),
    'leaf': leaf,
    'untouched': [i for i in range(c) if i!=s]}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 1}, {'replay': [8, 4, 2, 1], 'siblings': [16, 9, 5, 3], 'root': 1, 'comparisons': 4, 'leaf': 17, 'untouched': [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 2}, {'replay': [9, 4, 2, 1], 'siblings': [19, 8, 5, 3], 'root': 1, 'comparisons': 4, 'leaf': 18, 'untouched': [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 3}, {'replay': [9, 4, 2, 1], 'siblings': [18, 8, 5, 3], 'root': 1, 'comparisons': 4, 'leaf': 19, 'untouched': [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 4}, {'replay': [10, 5, 2, 1], 'siblings': [21, 11, 4, 3], 'root': 1, 'comparisons': 4, 'leaf': 20, 'untouched': [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 5}, {'replay': [10, 5, 2, 1], 'siblings': [20, 11, 4, 3], 'root': 1, 'comparisons': 4, 'leaf': 21, 'untouched': [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})]][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{'comparisons': 0, 'leaf': 1, 'replay': [], 'root': 1, 'siblings': [0], 'untouched': []}{'comparisons': 0, 'leaf': 1, 'replay': [], 'root': 1, 'siblings': [], 'untouched': []}Failed
regression certificate 2{'comparisons': 1, 'leaf': 3, 'replay': [1], 'root': 1, 'siblings': [2], 'untouched': [0]}{'comparisons': 1, 'leaf': 3, 'replay': [1], 'root': 1, 'siblings': [2], 'untouched': [0]}Passed
regression certificate 3{'comparisons': 2, 'leaf': 4, 'replay': [2, 1], 'root': 1, 'siblings': [3, 1], 'untouched': [1, 2, 3]}{'comparisons': 2, 'leaf': 4, 'replay': [2, 1], 'root': 1, 'siblings': [5, 3], 'untouched': [1, 2, 3]}Failed
regression certificate 4{'comparisons': 2, 'leaf': 7, 'replay': [3, 1], 'root': 1, 'siblings': [6, 2], 'untouched': [0, 1, 2]}{'comparisons': 2, 'leaf': 7, 'replay': [3, 1], 'root': 1, 'siblings': [6, 2], 'untouched': [0, 1, 2]}Passed
regression certificate 5{'comparisons': 3, 'leaf': 13, 'replay': [6, 3, 1], 'root': 1, 'siblings': [12, 5, 2], 'untouched': [0, 1, 2, 3, 4, 6, 7]}{'comparisons': 3, 'leaf': 13, 'replay': [6, 3, 1], 'root': 1, 'siblings': [12, 7, 2], 'untouched': [0, 1, 2, 3, 4, 6, 7]}Failed
regression certificate 6{'comparisons': 4, 'leaf': 26, 'replay': [13, 6, 3, 1], 'root': 1, 'siblings': [25, 12, 5, 2], 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}{'comparisons': 4, 'leaf': 26, 'replay': [13, 6, 3, 1], 'root': 1, 'siblings': [27, 12, 7, 2], 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}Failed
variant-dependent certificate{'comparisons': 4, 'leaf': 17, 'replay': [8, 4, 2, 1], 'root': 1, 'siblings': [16, 7, 3, 1], 'untouched': [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]}{'comparisons': 4, 'leaf': 17, 'replay': [8, 4, 2, 1], 'root': 1, 'siblings': [16, 9, 5, 3], 'untouched': [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]}Failed

SHA-256 / 9117d7c5b090b69612f86684214a809f72f36b803598605dcb9ca89a30b25f34

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(d):
    c=d['capacity']; s=d['slot']; leaf=c+s; path=[]; siblings=[]; v=leaf
    while v>1:
        siblings.append(v^1); v//=2; path.append(v)
    return {'replay': path,
    'siblings': [x+1 for x in [leaf]+path[:-1]],
    'root': 1,
    'comparisons': len(path),
    'leaf': leaf,
    'untouched': [i for i in range(c) if i!=s]}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 1}, {'replay': [8, 4, 2, 1], 'siblings': [16, 9, 5, 3], 'root': 1, 'comparisons': 4, 'leaf': 17, 'untouched': [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 2}, {'replay': [9, 4, 2, 1], 'siblings': [19, 8, 5, 3], 'root': 1, 'comparisons': 4, 'leaf': 18, 'untouched': [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 3}, {'replay': [9, 4, 2, 1], 'siblings': [18, 8, 5, 3], 'root': 1, 'comparisons': 4, 'leaf': 19, 'untouched': [0, 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 4}, {'replay': [10, 5, 2, 1], 'siblings': [21, 11, 4, 3], 'root': 1, 'comparisons': 4, 'leaf': 20, 'untouched': [0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})], [({'capacity': 1, 'slot': 0}, {'replay': [], 'siblings': [], 'root': 1, 'comparisons': 0, 'leaf': 1, 'untouched': []}), ({'capacity': 2, 'slot': 1}, {'replay': [1], 'siblings': [2], 'root': 1, 'comparisons': 1, 'leaf': 3, 'untouched': [0]}), ({'capacity': 4, 'slot': 0}, {'replay': [2, 1], 'siblings': [5, 3], 'root': 1, 'comparisons': 2, 'leaf': 4, 'untouched': [1, 2, 3]}), ({'capacity': 4, 'slot': 3}, {'replay': [3, 1], 'siblings': [6, 2], 'root': 1, 'comparisons': 2, 'leaf': 7, 'untouched': [0, 1, 2]}), ({'capacity': 8, 'slot': 5}, {'replay': [6, 3, 1], 'siblings': [12, 7, 2], 'root': 1, 'comparisons': 3, 'leaf': 13, 'untouched': [0, 1, 2, 3, 4, 6, 7]}), ({'capacity': 16, 'slot': 10}, {'replay': [13, 6, 3, 1], 'siblings': [27, 12, 7, 2], 'root': 1, 'comparisons': 4, 'leaf': 26, 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}), ({'capacity': 16, 'slot': 5}, {'replay': [10, 5, 2, 1], 'siblings': [20, 11, 4, 3], 'root': 1, 'comparisons': 4, 'leaf': 21, 'untouched': [0, 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]})]][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{'comparisons': 0, 'leaf': 1, 'replay': [], 'root': 1, 'siblings': [2], 'untouched': []}{'comparisons': 0, 'leaf': 1, 'replay': [], 'root': 1, 'siblings': [], 'untouched': []}Failed
regression certificate 2{'comparisons': 1, 'leaf': 3, 'replay': [1], 'root': 1, 'siblings': [4], 'untouched': [0]}{'comparisons': 1, 'leaf': 3, 'replay': [1], 'root': 1, 'siblings': [2], 'untouched': [0]}Failed
regression certificate 3{'comparisons': 2, 'leaf': 4, 'replay': [2, 1], 'root': 1, 'siblings': [5, 3], 'untouched': [1, 2, 3]}{'comparisons': 2, 'leaf': 4, 'replay': [2, 1], 'root': 1, 'siblings': [5, 3], 'untouched': [1, 2, 3]}Passed
regression certificate 4{'comparisons': 2, 'leaf': 7, 'replay': [3, 1], 'root': 1, 'siblings': [8, 4], 'untouched': [0, 1, 2]}{'comparisons': 2, 'leaf': 7, 'replay': [3, 1], 'root': 1, 'siblings': [6, 2], 'untouched': [0, 1, 2]}Failed
regression certificate 5{'comparisons': 3, 'leaf': 13, 'replay': [6, 3, 1], 'root': 1, 'siblings': [14, 7, 4], 'untouched': [0, 1, 2, 3, 4, 6, 7]}{'comparisons': 3, 'leaf': 13, 'replay': [6, 3, 1], 'root': 1, 'siblings': [12, 7, 2], 'untouched': [0, 1, 2, 3, 4, 6, 7]}Failed
regression certificate 6{'comparisons': 4, 'leaf': 26, 'replay': [13, 6, 3, 1], 'root': 1, 'siblings': [27, 14, 7, 4], 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}{'comparisons': 4, 'leaf': 26, 'replay': [13, 6, 3, 1], 'root': 1, 'siblings': [27, 12, 7, 2], 'untouched': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15]}Failed
variant-dependent certificate{'comparisons': 4, 'leaf': 17, 'replay': [8, 4, 2, 1], 'root': 1, 'siblings': [18, 9, 5, 3], 'untouched': [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]}{'comparisons': 4, 'leaf': 17, 'replay': [8, 4, 2, 1], 'root': 1, 'siblings': [16, 9, 5, 3], 'untouched': [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]}Failed

SHA-256 / f0513f9b38f2fd18cb9dda6af4d2bee5dfa7cb94a4274efa9919f6d336ea2e21

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 2026-09-29T14:43:31.620403+00:00.

Case digest / 373be2eaaa51b5dd633b5e784b29d4613f8d8278da3efa4a729d4c2789d3786d