FA-17701 / Time representation / Open access
Gap displacement uses offset sum or reversed offset change · case 01
The decoded time state disagrees with the explicit regression oracle for width.
ROOT CAUSE
Gap displacement uses offset sum or reversed offset change.
VERIFIED REPAIR
Preserve the declared coordinate and state contract at width: width = r['new'] - r['old'].
Unsuccessful approach: The partial correction still substitutes r['old'] - r['new'] at the same fault site.
Case contract
A stipulated forward offset transition at UTC T creates local gap [T+old,T+new). Reject returns None, forward adds gap width and backward subtracts it, preserving position in the gap. Return resolved local coordinate, UTC coordinate, shift direction and successful-change flag. Outside-gap labels are unchanged.
Why this case matters
Clock transfer and timestamp consumers require preserved coordinate, phase, validity and elapsed-time semantics.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(r):
start = r['transition'] + r['old']
end = r['transition'] + r['new']
width = r['new'] + r['old']
in_gap = start <= r['local'] < end
shift = (width if r['policy'] == 'forward' else -width) if in_gap and r['policy'] != 'reject' else 0
resolved = None if in_gap and r['policy'] == 'reject' else r['local'] + shift
offset = None if resolved is None else (r['old'] if resolved < start else r['new'])
utc = None if resolved is None else resolved - offset
direction = (shift > 0) - (shift < 0)
changed = resolved is not None and resolved != r['local']
return [resolved,utc,direction,changed]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('fixture 1', solve({'local': 109, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [109, 99, 0, False])
check('fixture 2', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [130, 100, 1, True])
check('fixture 3', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [90, 80, -1, True])
check('fixture 4', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [None, None, 0, False])
check('fixture 5', solve({'local': 129, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [109, 99, -1, True])
check('fixture 6', solve({'local': 130, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [130, 100, 0, False])
check('fixture 7', solve({'local': 120, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [140, 110, 1, True])
check('fixture 8', solve({'local': 120, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [None, None, 0, False])
check('fixture 9', solve({'local': -20, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [-20, -30, 0, False])
check('fixture 10', solve({'local': 140, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [140, 110, 0, False])
variant = [({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [130, 100, 1, True]), ({'local': 111, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [131, 101, 1, True]), ({'local': 112, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [132, 102, 1, True]), ({'local': 113, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [133, 103, 1, True]), ({'local': 114, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [134, 104, 1, True])]
check("variant capture", solve(variant[N-1][0]), variant[N-1][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 |
|---|---|---|---|
| fixture 1 | [109, 99, 0, False] | [109, 99, 0, False] | Passed |
| fixture 2 | [150, 120, 1, True] | [130, 100, 1, True] | Failed |
| fixture 3 | [70, 60, -1, True] | [90, 80, -1, True] | Failed |
| fixture 4 | [None, None, 0, False] | [None, None, 0, False] | Passed |
| fixture 5 | [89, 79, -1, True] | [109, 99, -1, True] | Failed |
| fixture 6 | [130, 100, 0, False] | [130, 100, 0, False] | Passed |
| fixture 7 | [160, 130, 1, True] | [140, 110, 1, True] | Failed |
| fixture 8 | [None, None, 0, False] | [None, None, 0, False] | Passed |
| fixture 9 | [-20, -30, 0, False] | [-20, -30, 0, False] | Passed |
| fixture 10 | [140, 110, 0, False] | [140, 110, 0, False] | Passed |
| variant capture | [150, 120, 1, True] | [130, 100, 1, True] | Failed |
SHA-256 / fa81f38284e8f9dadce6d7c8d2a8f1cc85db002933d3e74a43cc401298fbe064
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(r):
start = r['transition'] + r['old']
end = r['transition'] + r['new']
width = r['old'] - r['new']
in_gap = start <= r['local'] < end
shift = (width if r['policy'] == 'forward' else -width) if in_gap and r['policy'] != 'reject' else 0
resolved = None if in_gap and r['policy'] == 'reject' else r['local'] + shift
offset = None if resolved is None else (r['old'] if resolved < start else r['new'])
utc = None if resolved is None else resolved - offset
direction = (shift > 0) - (shift < 0)
changed = resolved is not None and resolved != r['local']
return [resolved,utc,direction,changed]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('fixture 1', solve({'local': 109, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [109, 99, 0, False])
check('fixture 2', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [130, 100, 1, True])
check('fixture 3', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [90, 80, -1, True])
check('fixture 4', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [None, None, 0, False])
check('fixture 5', solve({'local': 129, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [109, 99, -1, True])
check('fixture 6', solve({'local': 130, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [130, 100, 0, False])
check('fixture 7', solve({'local': 120, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [140, 110, 1, True])
check('fixture 8', solve({'local': 120, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [None, None, 0, False])
check('fixture 9', solve({'local': -20, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [-20, -30, 0, False])
check('fixture 10', solve({'local': 140, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [140, 110, 0, False])
variant = [({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [130, 100, 1, True]), ({'local': 111, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [131, 101, 1, True]), ({'local': 112, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [132, 102, 1, True]), ({'local': 113, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [133, 103, 1, True]), ({'local': 114, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [134, 104, 1, True])]
check("variant capture", solve(variant[N-1][0]), variant[N-1][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 |
|---|---|---|---|
| fixture 1 | [109, 99, 0, False] | [109, 99, 0, False] | Passed |
| fixture 2 | [90, 80, -1, True] | [130, 100, 1, True] | Failed |
| fixture 3 | [130, 100, 1, True] | [90, 80, -1, True] | Failed |
| fixture 4 | [None, None, 0, False] | [None, None, 0, False] | Passed |
| fixture 5 | [149, 119, 1, True] | [109, 99, -1, True] | Failed |
| fixture 6 | [130, 100, 0, False] | [130, 100, 0, False] | Passed |
| fixture 7 | [100, 90, -1, True] | [140, 110, 1, True] | Failed |
| fixture 8 | [None, None, 0, False] | [None, None, 0, False] | Passed |
| fixture 9 | [-20, -30, 0, False] | [-20, -30, 0, False] | Passed |
| fixture 10 | [140, 110, 0, False] | [140, 110, 0, False] | Passed |
| variant capture | [90, 80, -1, True] | [130, 100, 1, True] | Failed |
SHA-256 / d62d8b34339db16947e476f17ab047b0149a6a4f54a9517710c7b8cf3dcf88c7
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(r):
start = r['transition'] + r['old']
end = r['transition'] + r['new']
width = r['new'] - r['old']
in_gap = start <= r['local'] < end
shift = (width if r['policy'] == 'forward' else -width) if in_gap and r['policy'] != 'reject' else 0
resolved = None if in_gap and r['policy'] == 'reject' else r['local'] + shift
offset = None if resolved is None else (r['old'] if resolved < start else r['new'])
utc = None if resolved is None else resolved - offset
direction = (shift > 0) - (shift < 0)
changed = resolved is not None and resolved != r['local']
return [resolved,utc,direction,changed]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('fixture 1', solve({'local': 109, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [109, 99, 0, False])
check('fixture 2', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [130, 100, 1, True])
check('fixture 3', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [90, 80, -1, True])
check('fixture 4', solve({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [None, None, 0, False])
check('fixture 5', solve({'local': 129, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [109, 99, -1, True])
check('fixture 6', solve({'local': 130, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [130, 100, 0, False])
check('fixture 7', solve({'local': 120, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [140, 110, 1, True])
check('fixture 8', solve({'local': 120, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'reject'}), [None, None, 0, False])
check('fixture 9', solve({'local': -20, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'backward'}), [-20, -30, 0, False])
check('fixture 10', solve({'local': 140, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}), [140, 110, 0, False])
variant = [({'local': 110, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [130, 100, 1, True]), ({'local': 111, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [131, 101, 1, True]), ({'local': 112, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [132, 102, 1, True]), ({'local': 113, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [133, 103, 1, True]), ({'local': 114, 'old': 10, 'new': 30, 'transition': 100, 'policy': 'forward'}, [134, 104, 1, True])]
check("variant capture", solve(variant[N-1][0]), variant[N-1][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 |
|---|---|---|---|
| fixture 1 | [109, 99, 0, False] | [109, 99, 0, False] | Passed |
| fixture 2 | [130, 100, 1, True] | [130, 100, 1, True] | Passed |
| fixture 3 | [90, 80, -1, True] | [90, 80, -1, True] | Passed |
| fixture 4 | [None, None, 0, False] | [None, None, 0, False] | Passed |
| fixture 5 | [109, 99, -1, True] | [109, 99, -1, True] | Passed |
| fixture 6 | [130, 100, 0, False] | [130, 100, 0, False] | Passed |
| fixture 7 | [140, 110, 1, True] | [140, 110, 1, True] | Passed |
| fixture 8 | [None, None, 0, False] | [None, None, 0, False] | Passed |
| fixture 9 | [-20, -30, 0, False] | [-20, -30, 0, False] | Passed |
| fixture 10 | [140, 110, 0, False] | [140, 110, 0, False] | Passed |
| variant capture | [130, 100, 1, True] | [130, 100, 1, True] | Passed |
SHA-256 / d0ee2a9fbf387a1d8347ba1f8e5292e596af918caa4999da3261fb5675877d12
Verification & scope
Deterministic integer reference model with stipulated units and policies; not a complete clock, wire standard or platform implementation. 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 2026-09-29T14:39:49.544792+00:00.
Case digest / eea60728013cb98af73179c6d63a0c9fe4c3b742ec311c230822b27ef4562e2a