FA-17601 / Time representation / Open access

Slew direction reverses signed phase debt · case 01

The decoded time state disagrees with the explicit regression oracle for direction.

Verified by executionVariant 1 · 11 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Slew direction reverses signed phase debt.

THE FAILURE

Slew direction reverses signed phase debt.

Unsuccessful approach: The partial correction still substitutes 1 at the same fault site.

Case contract

Slew signed phase debt at capacity elapsed*rate without changing ordinary elapsed advancement. Return signed remaining debt, new wall coordinate, completion flag, unused correction capacity and signed cumulative correction. Elapsed and rate are nonnegative integers; wall and debt may be signed.

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):
    magnitude = abs(r['debt'])
    capacity = r['elapsed'] * r['rate']
    direction = -1 if r['debt'] >= 0 else 1
    applied = direction * min(magnitude,capacity)
    remaining = r['debt'] - applied
    advance = r['elapsed'] + applied
    wall = r['wall'] + advance
    complete = remaining == 0
    unused = capacity - abs(applied)
    cumulative = r['prior_correction'] + applied
    return [remaining,wall,complete,unused,cumulative]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('fixture 1', solve({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 4}), [4, 109, False, 0, 10])
check('fixture 2', solve({'debt': -10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': -4}), [-4, 97, False, 0, -10])
check('fixture 3', solve({'debt': 4, 'elapsed': 2, 'rate': 2, 'wall': 20, 'prior_correction': 0}), [0, 26, True, 0, 4])
check('fixture 4', solve({'debt': 0, 'elapsed': 3, 'rate': 1, 'wall': 10, 'prior_correction': 8}), [0, 13, True, 3, 8])
check('fixture 5', solve({'debt': 3, 'elapsed': 0, 'rate': 2, 'wall': 50, 'prior_correction': 2}), [3, 50, False, 0, 2])
check('fixture 6', solve({'debt': -2, 'elapsed': 5, 'rate': 1, 'wall': -10, 'prior_correction': 7}), [0, -7, True, 3, 5])
check('fixture 7', solve({'debt': 20, 'elapsed': 4, 'rate': 0, 'wall': 100, 'prior_correction': 3}), [20, 104, False, 0, 3])
check('fixture 8', solve({'debt': 1, 'elapsed': 3, 'rate': 2, 'wall': 0, 'prior_correction': -1}), [0, 4, True, 5, 0])
check('fixture 9', solve({'debt': -3, 'elapsed': 2, 'rate': 2, 'wall': 4, 'prior_correction': -1}), [0, 3, True, 1, -4])
check('fixture 10', solve({'debt': 0, 'elapsed': 0, 'rate': 0, 'wall': 0, 'prior_correction': 0}), [0, 0, True, 0, 0])
variant = [({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 5}, [4, 109, False, 0, 11]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 6}, [4, 109, False, 0, 12]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 7}, [4, 109, False, 0, 13]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 8}, [4, 109, False, 0, 14]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 9}, [4, 109, False, 0, 15])]
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	`[16, 97, False, 0, -2]`	`[4, 109, False, 0, 10]`	Failed
fixture 2	`[-16, 109, False, 0, 2]`	`[-4, 97, False, 0, -10]`	Failed
fixture 3	`[8, 18, False, 0, -4]`	`[0, 26, True, 0, 4]`	Failed
fixture 4	`[0, 13, True, 3, 8]`	`[0, 13, True, 3, 8]`	Passed
fixture 5	`[3, 50, False, 0, 2]`	`[3, 50, False, 0, 2]`	Passed
fixture 6	`[-4, -3, False, 3, 9]`	`[0, -7, True, 3, 5]`	Failed
fixture 7	`[20, 104, False, 0, 3]`	`[20, 104, False, 0, 3]`	Passed
fixture 8	`[2, 2, False, 5, -2]`	`[0, 4, True, 5, 0]`	Failed
fixture 9	`[-6, 9, False, 1, 2]`	`[0, 3, True, 1, -4]`	Failed
fixture 10	`[0, 0, True, 0, 0]`	`[0, 0, True, 0, 0]`	Passed
variant capture	`[16, 97, False, 0, -1]`	`[4, 109, False, 0, 11]`	Failed

SHA-256 / b91a9a54d42d04f5800eb800d6933871a7fba77afa7c4688809fd79ed4fb3ce6

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):
    magnitude = abs(r['debt'])
    capacity = r['elapsed'] * r['rate']
    direction = 1
    applied = direction * min(magnitude,capacity)
    remaining = r['debt'] - applied
    advance = r['elapsed'] + applied
    wall = r['wall'] + advance
    complete = remaining == 0
    unused = capacity - abs(applied)
    cumulative = r['prior_correction'] + applied
    return [remaining,wall,complete,unused,cumulative]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('fixture 1', solve({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 4}), [4, 109, False, 0, 10])
check('fixture 2', solve({'debt': -10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': -4}), [-4, 97, False, 0, -10])
check('fixture 3', solve({'debt': 4, 'elapsed': 2, 'rate': 2, 'wall': 20, 'prior_correction': 0}), [0, 26, True, 0, 4])
check('fixture 4', solve({'debt': 0, 'elapsed': 3, 'rate': 1, 'wall': 10, 'prior_correction': 8}), [0, 13, True, 3, 8])
check('fixture 5', solve({'debt': 3, 'elapsed': 0, 'rate': 2, 'wall': 50, 'prior_correction': 2}), [3, 50, False, 0, 2])
check('fixture 6', solve({'debt': -2, 'elapsed': 5, 'rate': 1, 'wall': -10, 'prior_correction': 7}), [0, -7, True, 3, 5])
check('fixture 7', solve({'debt': 20, 'elapsed': 4, 'rate': 0, 'wall': 100, 'prior_correction': 3}), [20, 104, False, 0, 3])
check('fixture 8', solve({'debt': 1, 'elapsed': 3, 'rate': 2, 'wall': 0, 'prior_correction': -1}), [0, 4, True, 5, 0])
check('fixture 9', solve({'debt': -3, 'elapsed': 2, 'rate': 2, 'wall': 4, 'prior_correction': -1}), [0, 3, True, 1, -4])
check('fixture 10', solve({'debt': 0, 'elapsed': 0, 'rate': 0, 'wall': 0, 'prior_correction': 0}), [0, 0, True, 0, 0])
variant = [({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 5}, [4, 109, False, 0, 11]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 6}, [4, 109, False, 0, 12]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 7}, [4, 109, False, 0, 13]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 8}, [4, 109, False, 0, 14]), ({'debt': 10, 'elapsed': 3, 'rate': 2, 'wall': 100, 'prior_correction': 9}, [4, 109, False, 0, 15])]
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	`[4, 109, False, 0, 10]`	`[4, 109, False, 0, 10]`	Passed
fixture 2	`[-16, 109, False, 0, 2]`	`[-4, 97, False, 0, -10]`	Failed
fixture 3	`[0, 26, True, 0, 4]`	`[0, 26, True, 0, 4]`	Passed
fixture 4	`[0, 13, True, 3, 8]`	`[0, 13, True, 3, 8]`	Passed
fixture 5	`[3, 50, False, 0, 2]`	`[3, 50, False, 0, 2]`	Passed
fixture 6	`[-4, -3, False, 3, 9]`	`[0, -7, True, 3, 5]`	Failed
fixture 7	`[20, 104, False, 0, 3]`	`[20, 104, False, 0, 3]`	Passed
fixture 8	`[0, 4, True, 5, 0]`	`[0, 4, True, 5, 0]`	Passed
fixture 9	`[-6, 9, False, 1, 2]`	`[0, 3, True, 1, -4]`	Failed
fixture 10	`[0, 0, True, 0, 0]`	`[0, 0, True, 0, 0]`	Passed
variant capture	`[4, 109, False, 0, 11]`	`[4, 109, False, 0, 11]`	Passed

SHA-256 / dace1f82d6275eac0e15a56376065008f43839c3a23180d512eecf8c6280ad88

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 11 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

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 2026-09-29T14:39:48.931075+00:00.

Case digest / d231a531d684474c94a2659cf4255a3bd0093f4236e50d224cd2d8f01b1ad5ef