FA-92206 / PLC ladder logic scan cycles / Open access
Acknowledging a latched alarm clears it · case 01
Operators clear latched alarms with the acknowledge button, bypassing the reset.
ROOT CAUSE
The latched clear condition tests ack instead of reset.
VERIFIED REPAIR
A latched alarm clears only on reset once the condition is false.
Unsuccessful approach: Accepting either reset or ack still lets acknowledgement clear the latch.
Case contract
Digital alarm instruction evaluated per scan; scans is a list of [condition, ack, reset], min_scans >= 1. The alarm activates when the condition has been true for min_scans consecutive scans; activation clears the acknowledged flag. A non-latched alarm clears when the condition goes false; a latched alarm clears only on a reset while the condition is false. ack sets acknowledged. Return [in_alarm, acknowledged] per scan.
Why this case matters
Ladder programs are executed as repeated scans; each defect here changes what a rung, timer, counter or data-table instruction reports on a particular scan, which is how commissioning and field faults are actually observed.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(min_scans, latched, scans):
in_alarm = False
acked = True
count = 0
out = []
for cond, ack, reset in scans:
count = count + 1 if cond else 0
if count >= min_scans and cond and not in_alarm:
in_alarm = True
acked = False
elif in_alarm and not cond and (not latched or ack):
in_alarm = False
if ack and not acked:
acked = True
out.append([in_alarm, acked])
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['control: scenario 1',
[1,
False,
[[True, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False]]],
[[True, False],
[False, False],
[True, False],
[False, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[True, False]]],
['regression: scenario 2',
[1,
True,
[[False, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, True, False],
[True, False, False],
[False, False, False]]],
[[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[False, False],
[False, False],
[False, True],
[True, False],
[True, False]]],
['control: scenario 3',
[3,
False,
[[True, False, False],
[True, False, True],
[False, False, False],
[False, False, False],
[False, False, True],
[True, False, False],
[True, True, False],
[False, True, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False]]]],
[['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['regression: scenario 6',
[2,
True,
[[False, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, True],
[False, False, False],
[False, False, True],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[True, True, False],
[False, False, False],
[True, True, False],
[False, False, False],
[False, True, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['control: scenario 1',
[1,
False,
[[False, False, False],
[False, False, True],
[False, False, False],
[True, True, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, True],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[True, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True],
[True, False]]],
['control: scenario 2',
[3,
False,
[[False, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[False, False, True],
[False, True, False],
[True, False, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False]]]],
[['regression: scenario 2',
[2,
True,
[[False, True, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, True],
[True, False, False],
[False, False, False],
[False, True, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, True, True]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: scenario 3',
[3,
True,
[[True, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[True, False, True],
[True, False, False],
[False, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[3,
False,
[[True, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, True],
[False, False, True]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[False, False],
[False, False],
[False, False],
[True, False],
[False, False],
[False, False]]]],
[['regression: scenario 11',
[1,
True,
[[False, False, False],
[True, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[False, False, False],
[False, False, False],
[True, True, False],
[True, True, False],
[False, False, True]]],
[[False, True],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True]]],
['regression: scenario 34',
[1,
True,
[[False, False, False],
[True, False, False],
[False, True, False],
[False, True, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, True, False],
[False, False, False]]],
[[False, True],
[True, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[False, True],
[False, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[2,
True,
[[False, True, False],
[True, False, False],
[False, False, False],
[False, False, True],
[False, False, True],
[True, False, True],
[True, True, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, True, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]]],
[['regression: scenario 10',
[1,
True,
[[True, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[False, False, False]]],
[[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False]]],
['regression: scenario 11',
[2,
True,
[[True, False, True],
[True, True, False],
[True, False, False],
[False, True, False],
[False, False, False],
[True, False, False],
[True, False, False],
[False, True, True],
[True, False, False],
[True, False, False],
[True, False, False],
[True, False, True],
[True, True, False]]],
[[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[2,
False,
[[False, False, False],
[True, True, False],
[True, True, False],
[False, False, True],
[False, False, True],
[True, True, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, True]]],
[[False, True],
[False, True],
[True, True],
[False, True],
[False, True],
[False, True],
[True, False],
[False, False],
[False, False],
[True, False]]]]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
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: latched with ack and reset | [[False, True], [True, False], [True, False], [False, True], [False, True], [False, True]] | [[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]] | Failed |
| regression: ack on latched alarm | [[True, False], [False, True], [False, True], [False, True]] | [[True, False], [True, True], [True, True], [False, True]] | Failed |
| control: chattering condition | [[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | [[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | Passed |
| control: realarm after ack | [[True, False], [True, True], [False, True], [True, False]] | [[True, False], [True, True], [False, True], [True, False]] | Passed |
| control: reset while condition true | [[True, False], [True, False], [True, False]] | [[True, False], [True, False], [True, False]] | Passed |
| control: scenario 1 | [[True, False], [False, False], [True, False], [False, False], [True, True], [True, True], [True, True], [False, True], [False, True], [True, False]] | [[True, False], [False, False], [True, False], [False, False], [True, True], [True, True], [True, True], [False, True], [False, True], [True, False]] | Passed |
| regression: scenario 2 | [[False, True], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [False, True], [True, False], [True, False]] | [[False, True], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [False, False], [False, False], [False, True], [True, False], [True, False]] | Failed |
| control: scenario 3 | [[False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | [[False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | Passed |
SHA-256 / 49242f2ca7ed42e0d159ef382555c2b1ba8c838d7a9e83354f6994fef85c972c
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(min_scans, latched, scans):
in_alarm = False
acked = True
count = 0
out = []
for cond, ack, reset in scans:
count = count + 1 if cond else 0
if count >= min_scans and cond and not in_alarm:
in_alarm = True
acked = False
elif in_alarm and not cond and (not latched or reset or ack):
in_alarm = False
if ack and not acked:
acked = True
out.append([in_alarm, acked])
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['control: scenario 1',
[1,
False,
[[True, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False]]],
[[True, False],
[False, False],
[True, False],
[False, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[True, False]]],
['regression: scenario 2',
[1,
True,
[[False, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, True, False],
[True, False, False],
[False, False, False]]],
[[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[False, False],
[False, False],
[False, True],
[True, False],
[True, False]]],
['control: scenario 3',
[3,
False,
[[True, False, False],
[True, False, True],
[False, False, False],
[False, False, False],
[False, False, True],
[True, False, False],
[True, True, False],
[False, True, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False]]]],
[['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['regression: scenario 6',
[2,
True,
[[False, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, True],
[False, False, False],
[False, False, True],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[True, True, False],
[False, False, False],
[True, True, False],
[False, False, False],
[False, True, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['control: scenario 1',
[1,
False,
[[False, False, False],
[False, False, True],
[False, False, False],
[True, True, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, True],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[True, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True],
[True, False]]],
['control: scenario 2',
[3,
False,
[[False, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[False, False, True],
[False, True, False],
[True, False, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False]]]],
[['regression: scenario 2',
[2,
True,
[[False, True, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, True],
[True, False, False],
[False, False, False],
[False, True, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, True, True]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: scenario 3',
[3,
True,
[[True, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[True, False, True],
[True, False, False],
[False, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[3,
False,
[[True, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, True],
[False, False, True]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[False, False],
[False, False],
[False, False],
[True, False],
[False, False],
[False, False]]]],
[['regression: scenario 11',
[1,
True,
[[False, False, False],
[True, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[False, False, False],
[False, False, False],
[True, True, False],
[True, True, False],
[False, False, True]]],
[[False, True],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True]]],
['regression: scenario 34',
[1,
True,
[[False, False, False],
[True, False, False],
[False, True, False],
[False, True, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, True, False],
[False, False, False]]],
[[False, True],
[True, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[False, True],
[False, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[2,
True,
[[False, True, False],
[True, False, False],
[False, False, False],
[False, False, True],
[False, False, True],
[True, False, True],
[True, True, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, True, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]]],
[['regression: scenario 10',
[1,
True,
[[True, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[False, False, False]]],
[[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False]]],
['regression: scenario 11',
[2,
True,
[[True, False, True],
[True, True, False],
[True, False, False],
[False, True, False],
[False, False, False],
[True, False, False],
[True, False, False],
[False, True, True],
[True, False, False],
[True, False, False],
[True, False, False],
[True, False, True],
[True, True, False]]],
[[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[2,
False,
[[False, False, False],
[True, True, False],
[True, True, False],
[False, False, True],
[False, False, True],
[True, True, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, True]]],
[[False, True],
[False, True],
[True, True],
[False, True],
[False, True],
[False, True],
[True, False],
[False, False],
[False, False],
[True, False]]]]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
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: latched with ack and reset | [[False, True], [True, False], [True, False], [False, True], [False, True], [False, True]] | [[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]] | Failed |
| regression: ack on latched alarm | [[True, False], [False, True], [False, True], [False, True]] | [[True, False], [True, True], [True, True], [False, True]] | Failed |
| control: chattering condition | [[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | [[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | Passed |
| control: realarm after ack | [[True, False], [True, True], [False, True], [True, False]] | [[True, False], [True, True], [False, True], [True, False]] | Passed |
| control: reset while condition true | [[True, False], [True, False], [True, False]] | [[True, False], [True, False], [True, False]] | Passed |
| control: scenario 1 | [[True, False], [False, False], [True, False], [False, False], [True, True], [True, True], [True, True], [False, True], [False, True], [True, False]] | [[True, False], [False, False], [True, False], [False, False], [True, True], [True, True], [True, True], [False, True], [False, True], [True, False]] | Passed |
| regression: scenario 2 | [[False, True], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [False, False], [False, False], [False, True], [True, False], [True, False]] | [[False, True], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [False, False], [False, False], [False, True], [True, False], [True, False]] | Passed |
| control: scenario 3 | [[False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | [[False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | Passed |
SHA-256 / bcefa71ab32302025a609093f37d0d0f5ae52e1ac591e7bf2d019a9ae353f0f0
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(min_scans, latched, scans):
in_alarm = False
acked = True
count = 0
out = []
for cond, ack, reset in scans:
count = count + 1 if cond else 0
if count >= min_scans and cond and not in_alarm:
in_alarm = True
acked = False
elif in_alarm and not cond and (not latched or reset):
in_alarm = False
if ack and not acked:
acked = True
out.append([in_alarm, acked])
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['control: scenario 1',
[1,
False,
[[True, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False]]],
[[True, False],
[False, False],
[True, False],
[False, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[True, False]]],
['regression: scenario 2',
[1,
True,
[[False, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, True, False],
[True, False, False],
[False, False, False]]],
[[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[False, False],
[False, False],
[False, True],
[True, False],
[True, False]]],
['control: scenario 3',
[3,
False,
[[True, False, False],
[True, False, True],
[False, False, False],
[False, False, False],
[False, False, True],
[True, False, False],
[True, True, False],
[False, True, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False]]]],
[['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['regression: scenario 6',
[2,
True,
[[False, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, True],
[False, False, False],
[False, False, True],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[True, True, False],
[False, False, False],
[True, True, False],
[False, False, False],
[False, True, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['control: scenario 1',
[1,
False,
[[False, False, False],
[False, False, True],
[False, False, False],
[True, True, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, True],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[True, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True],
[True, False]]],
['control: scenario 2',
[3,
False,
[[False, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[False, False, True],
[False, True, False],
[True, False, False],
[False, False, False],
[True, True, False],
[True, False, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False]]]],
[['regression: scenario 2',
[2,
True,
[[False, True, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, True],
[True, False, False],
[False, False, False],
[False, True, False],
[True, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, True, True]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: scenario 3',
[3,
True,
[[True, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[True, False, True],
[True, False, False],
[False, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[3,
False,
[[True, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False],
[False, False, True],
[False, False, True]]],
[[False, True],
[False, True],
[True, False],
[True, False],
[False, False],
[False, False],
[False, False],
[True, False],
[False, False],
[False, False]]]],
[['regression: scenario 11',
[1,
True,
[[False, False, False],
[True, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[True, False, False],
[False, False, False],
[False, False, False],
[False, False, False],
[False, False, False],
[True, True, False],
[True, True, False],
[False, False, True]]],
[[False, True],
[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True]]],
['regression: scenario 34',
[1,
True,
[[False, False, False],
[True, False, False],
[False, True, False],
[False, True, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, True, False],
[False, False, False]]],
[[False, True],
[True, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[False, True],
[False, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[2,
True,
[[False, True, False],
[True, False, False],
[False, False, False],
[False, False, True],
[False, False, True],
[True, False, True],
[True, True, False],
[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, True, False],
[True, False, False]]],
[[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True]]]],
[['regression: scenario 10',
[1,
True,
[[True, False, False],
[True, False, False],
[False, True, False],
[False, False, False],
[False, False, False],
[False, False, True],
[False, False, False],
[False, False, False],
[False, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[False, False, False]]],
[[True, False],
[True, False],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, False]]],
['regression: scenario 11',
[2,
True,
[[True, False, True],
[True, True, False],
[True, False, False],
[False, True, False],
[False, False, False],
[True, False, False],
[True, False, False],
[False, True, True],
[True, False, False],
[True, False, False],
[True, False, False],
[True, False, True],
[True, True, False]]],
[[False, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[True, True],
[False, True],
[False, True],
[True, False],
[True, False],
[True, False],
[True, True]]],
['regression: latched with ack and reset',
[2,
True,
[[True, False, False],
[True, False, False],
[False, False, False],
[False, True, False],
[False, False, True],
[True, False, False]]],
[[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]]],
['control: chattering condition',
[3,
False,
[[True, False, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, False],
[True, False, False]]],
[[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]]],
['control: realarm after ack',
[1, False, [[True, False, False], [True, True, False], [False, False, False], [True, False, False]]],
[[True, False], [True, True], [False, True], [True, False]]],
['control: reset while condition true',
[1, False, [[True, False, False], [True, False, True], [True, False, False]]],
[[True, False], [True, False], [True, False]]],
['regression: ack on latched alarm',
[1, True, [[True, False, False], [False, True, False], [False, False, False], [False, False, True]]],
[[True, False], [True, True], [True, True], [False, True]]],
['control: scenario 1',
[2,
False,
[[False, False, False],
[True, True, False],
[True, True, False],
[False, False, True],
[False, False, True],
[True, True, False],
[True, False, False],
[False, False, False],
[True, False, False],
[True, False, True]]],
[[False, True],
[False, True],
[True, True],
[False, True],
[False, True],
[False, True],
[True, False],
[False, False],
[False, False],
[True, False]]]]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
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: latched with ack and reset | [[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]] | [[False, True], [True, False], [True, False], [True, True], [False, True], [False, True]] | Passed |
| regression: ack on latched alarm | [[True, False], [True, True], [True, True], [False, True]] | [[True, False], [True, True], [True, True], [False, True]] | Passed |
| control: chattering condition | [[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | [[False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | Passed |
| control: realarm after ack | [[True, False], [True, True], [False, True], [True, False]] | [[True, False], [True, True], [False, True], [True, False]] | Passed |
| control: reset while condition true | [[True, False], [True, False], [True, False]] | [[True, False], [True, False], [True, False]] | Passed |
| control: scenario 1 | [[True, False], [False, False], [True, False], [False, False], [True, True], [True, True], [True, True], [False, True], [False, True], [True, False]] | [[True, False], [False, False], [True, False], [False, False], [True, True], [True, True], [True, True], [False, True], [False, True], [True, False]] | Passed |
| regression: scenario 2 | [[False, True], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [False, False], [False, False], [False, True], [True, False], [True, False]] | [[False, True], [True, False], [True, False], [True, False], [True, False], [True, False], [True, False], [False, False], [False, False], [False, True], [True, False], [True, False]] | Passed |
| control: scenario 3 | [[False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | [[False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [False, True], [True, False]] | Passed |
SHA-256 / 4bce9f07b3da4fe013b8391bb6ae7a93a733664c203e1a16c995a2b2dbd5a9fb
Verification & scope
A deterministic bounded teaching model of one PLC instruction or rung pattern evaluated scan by scan. The stated contract is a stipulated toy convention, not a claim of conformance to any vendor controller or IEC 61131-3 runtime. 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 2026-09-29T14:51:43.643734+00:00.
Case digest / 16c0eef2a38dcd7fae67d1346f95fa8061eba234cbaf28069c4f923ab3366f37