FAILURE MAP
← Case archive

FA-92271 / PLC ladder logic scan cycles / Open access

Two-hand window rejects a second press exactly at the limit · case 01

Operators pressing the second button right at the synchronous-time limit cannot start the press.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The synchronous-time test uses < window.

VERIFIED REPAIR

Accept the second button when it arrives within window ms inclusive.

Unsuccessful approach: Requiring the second press to be strictly later rejects a truly simultaneous press.

Case contract

Two-hand press control sampled per scan; samples is a list of [t_ms, left, right]. The press may start only when both buttons become pressed within window ms of the first one being pressed (inclusive), starting from a state where both were released. Releasing either button stops the press, and both buttons must then be released before a new start is allowed (anti-tie-down). Return the run output 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(window, samples):
    first_press = None
    armed = True
    run = False
    out = []
    for t, left, right in samples:
        left = bool(left)
        right = bool(right)
        if not left and not right:
            armed = True
            first_press = None
            run = False
        elif left and right:
            if not run:
                begin = t if first_press is None else first_press
                if armed and t - begin < window:
                    run = True
                armed = False
        else:
            run = False
            if first_press is None:
                first_press = t
        out.append(run)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: scenario 1',
   [200,
    [[0, False, False],
     [100, True, True],
     [400, True, True],
     [500, True, True],
     [650, True, True],
     [850, True, True],
     [1050, True, False],
     [1100, False, False],
     [1300, True, True],
     [1600, True, True]]],
   [False, True, True, True, True, True, False, False, True, True]],
  ['regression: scenario 2',
   [200,
    [[0, True, True],
     [50, True, False],
     [200, True, True],
     [250, False, False],
     [300, False, True],
     [400, False, False],
     [450, False, False],
     [550, False, True]]],
   [True, False, False, False, False, False, False, False]],
  ['regression: scenario 3',
   [200,
    [[0, True, False],
     [150, True, True],
     [200, True, True],
     [400, False, False],
     [500, True, True],
     [700, True, True],
     [850, True, False],
     [1000, True, False],
     [1100, False, False],
     [1400, True, False],
     [1450, False, True],
     [1600, True, True],
     [1700, True, True]]],
   [False, True, True, False, True, True, False, False, False, False, False, True, True]]],
 [['regression: scenario 16',
   [500,
    [[0, True, False],
     [50, False, False],
     [350, False, True],
     [550, True, False],
     [850, True, True],
     [1050, True, False],
     [1150, False, False],
     [1250, True, True],
     [1550, True, False],
     [1700, True, False]]],
   [False, False, False, False, True, False, False, True, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: scenario 1',
   [250,
    [[0, True, True],
     [50, True, True],
     [200, False, True],
     [300, True, True],
     [600, True, True],
     [750, False, True],
     [850, False, False],
     [1000, False, True],
     [1100, True, True]]],
   [True, True, False, False, False, False, False, False, True]],
  ['regression: scenario 2',
   [250,
    [[0, True, True],
     [50, False, True],
     [200, False, False],
     [250, True, False],
     [400, True, True],
     [500, True, True],
     [650, False, False],
     [700, True, True],
     [850, False, False],
     [1000, False, True],
     [1150, False, True],
     [1250, False, True],
     [1550, False, False]]],
   [True, False, False, False, True, True, False, True, False, False, False, False, False]]],
 [['regression: scenario 19',
   [500,
    [[0, True, False],
     [50, True, False],
     [350, False, True],
     [500, True, True],
     [550, True, False],
     [650, False, False],
     [850, False, False],
     [900, True, False],
     [1050, True, False]]],
   [False, False, False, True, False, False, False, False, False]],
  ['regression: scenario 2',
   [250,
    [[0, False, False],
     [150, False, False],
     [350, False, False],
     [400, True, True],
     [600, True, False],
     [750, False, True],
     [1050, True, True],
     [1150, True, True],
     [1350, True, False],
     [1400, False, False],
     [1550, True, False]]],
   [False, False, False, True, False, False, False, False, False, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['control: scenario 1',
   [200,
    [[0, False, True],
     [100, False, False],
     [250, False, False],
     [300, True, False],
     [400, True, False],
     [450, False, True],
     [550, True, False],
     [700, True, False],
     [800, False, True]]],
   [False, False, False, False, False, False, False, False, False]]],
 [['regression: scenario 55',
   [200,
    [[0, True, True],
     [100, False, False],
     [200, True, True],
     [250, True, True],
     [550, False, False],
     [750, True, True],
     [850, False, False],
     [950, False, True],
     [1150, True, True],
     [1200, False, False]]],
   [True, False, True, True, False, True, False, False, True, False]],
  ['regression: scenario 2',
   [250,
    [[0, True, False],
     [150, False, False],
     [200, True, True],
     [350, False, False],
     [400, True, False],
     [500, False, False],
     [800, True, False],
     [1000, True, False],
     [1050, False, False],
     [1100, True, False],
     [1400, False, False],
     [1450, False, False],
     [1600, False, True],
     [1800, True, False]]],
   [False, False, True, False, False, False, False, False, False, False, False, False, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: scenario 1',
   [250,
    [[0, False, True],
     [200, False, False],
     [250, True, False],
     [550, True, False],
     [650, True, True],
     [700, True, False],
     [900, True, True],
     [1100, True, False],
     [1200, False, True],
     [1300, True, False],
     [1450, False, True],
     [1650, False, False],
     [1800, True, True]]],
   [False, False, False, False, False, False, False, False, False, False, False, False, True]]],
 [['regression: scenario 13',
   [200,
    [[0, False, True],
     [300, True, True],
     [600, False, False],
     [700, False, False],
     [850, False, True],
     [950, True, True],
     [1250, True, False],
     [1550, False, False],
     [1650, False, False],
     [1950, True, False],
     [2150, True, True],
     [2450, True, False],
     [2500, False, True]]],
   [False, False, False, False, False, True, False, False, False, False, True, False, False]],
  ['regression: scenario 6',
   [250,
    [[0, False, True],
     [150, True, True],
     [300, False, False],
     [400, False, True],
     [600, True, False],
     [650, True, True],
     [750, False, False],
     [1050, True, True]]],
   [False, True, False, False, False, True, False, True]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['control: scenario 1',
   [500,
    [[0, True, False],
     [150, True, False],
     [250, True, False],
     [300, False, False],
     [350, False, True],
     [650, False, True],
     [850, False, False],
     [1150, False, False],
     [1350, True, False],
     [1650, True, False],
     [1800, True, False],
     [1850, True, False],
     [1900, False, True]]],
   [False, False, False, False, False, False, False, False, False, False, False, False, 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 fixtureActualExpectedOutcome
regression: exact window[False, False, False][False, True, False]Failed
regression: normal cycle[False, True, True, False, False, True][False, True, True, False, False, True]Passed
control: late second hand[False, False, False, False, True][False, False, False, False, True]Passed
control: tie down one button[False, True, False, False, False, False][False, True, False, False, False, False]Passed
regression: simultaneous press then release one[True, False, False][True, False, False]Passed
regression: scenario 1[False, True, True, True, True, True, False, False, True, True][False, True, True, True, True, True, False, False, True, True]Passed
regression: scenario 2[True, False, False, False, False, False, False, False][True, False, False, False, False, False, False, False]Passed
regression: scenario 3[False, True, True, False, True, True, False, False, False, False, False, False, False][False, True, True, False, True, True, False, False, False, False, False, True, True]Failed

SHA-256 / 0b77c40e53f565dd84ae0e497ca31335c6037eafb480510a07712ae1f572d98d

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(window, samples):
    first_press = None
    armed = True
    run = False
    out = []
    for t, left, right in samples:
        left = bool(left)
        right = bool(right)
        if not left and not right:
            armed = True
            first_press = None
            run = False
        elif left and right:
            if not run:
                begin = t if first_press is None else first_press
                if armed and t - begin <= window and t > begin:
                    run = True
                armed = False
        else:
            run = False
            if first_press is None:
                first_press = t
        out.append(run)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: scenario 1',
   [200,
    [[0, False, False],
     [100, True, True],
     [400, True, True],
     [500, True, True],
     [650, True, True],
     [850, True, True],
     [1050, True, False],
     [1100, False, False],
     [1300, True, True],
     [1600, True, True]]],
   [False, True, True, True, True, True, False, False, True, True]],
  ['regression: scenario 2',
   [200,
    [[0, True, True],
     [50, True, False],
     [200, True, True],
     [250, False, False],
     [300, False, True],
     [400, False, False],
     [450, False, False],
     [550, False, True]]],
   [True, False, False, False, False, False, False, False]],
  ['regression: scenario 3',
   [200,
    [[0, True, False],
     [150, True, True],
     [200, True, True],
     [400, False, False],
     [500, True, True],
     [700, True, True],
     [850, True, False],
     [1000, True, False],
     [1100, False, False],
     [1400, True, False],
     [1450, False, True],
     [1600, True, True],
     [1700, True, True]]],
   [False, True, True, False, True, True, False, False, False, False, False, True, True]]],
 [['regression: scenario 16',
   [500,
    [[0, True, False],
     [50, False, False],
     [350, False, True],
     [550, True, False],
     [850, True, True],
     [1050, True, False],
     [1150, False, False],
     [1250, True, True],
     [1550, True, False],
     [1700, True, False]]],
   [False, False, False, False, True, False, False, True, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: scenario 1',
   [250,
    [[0, True, True],
     [50, True, True],
     [200, False, True],
     [300, True, True],
     [600, True, True],
     [750, False, True],
     [850, False, False],
     [1000, False, True],
     [1100, True, True]]],
   [True, True, False, False, False, False, False, False, True]],
  ['regression: scenario 2',
   [250,
    [[0, True, True],
     [50, False, True],
     [200, False, False],
     [250, True, False],
     [400, True, True],
     [500, True, True],
     [650, False, False],
     [700, True, True],
     [850, False, False],
     [1000, False, True],
     [1150, False, True],
     [1250, False, True],
     [1550, False, False]]],
   [True, False, False, False, True, True, False, True, False, False, False, False, False]]],
 [['regression: scenario 19',
   [500,
    [[0, True, False],
     [50, True, False],
     [350, False, True],
     [500, True, True],
     [550, True, False],
     [650, False, False],
     [850, False, False],
     [900, True, False],
     [1050, True, False]]],
   [False, False, False, True, False, False, False, False, False]],
  ['regression: scenario 2',
   [250,
    [[0, False, False],
     [150, False, False],
     [350, False, False],
     [400, True, True],
     [600, True, False],
     [750, False, True],
     [1050, True, True],
     [1150, True, True],
     [1350, True, False],
     [1400, False, False],
     [1550, True, False]]],
   [False, False, False, True, False, False, False, False, False, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['control: scenario 1',
   [200,
    [[0, False, True],
     [100, False, False],
     [250, False, False],
     [300, True, False],
     [400, True, False],
     [450, False, True],
     [550, True, False],
     [700, True, False],
     [800, False, True]]],
   [False, False, False, False, False, False, False, False, False]]],
 [['regression: scenario 55',
   [200,
    [[0, True, True],
     [100, False, False],
     [200, True, True],
     [250, True, True],
     [550, False, False],
     [750, True, True],
     [850, False, False],
     [950, False, True],
     [1150, True, True],
     [1200, False, False]]],
   [True, False, True, True, False, True, False, False, True, False]],
  ['regression: scenario 2',
   [250,
    [[0, True, False],
     [150, False, False],
     [200, True, True],
     [350, False, False],
     [400, True, False],
     [500, False, False],
     [800, True, False],
     [1000, True, False],
     [1050, False, False],
     [1100, True, False],
     [1400, False, False],
     [1450, False, False],
     [1600, False, True],
     [1800, True, False]]],
   [False, False, True, False, False, False, False, False, False, False, False, False, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: scenario 1',
   [250,
    [[0, False, True],
     [200, False, False],
     [250, True, False],
     [550, True, False],
     [650, True, True],
     [700, True, False],
     [900, True, True],
     [1100, True, False],
     [1200, False, True],
     [1300, True, False],
     [1450, False, True],
     [1650, False, False],
     [1800, True, True]]],
   [False, False, False, False, False, False, False, False, False, False, False, False, True]]],
 [['regression: scenario 13',
   [200,
    [[0, False, True],
     [300, True, True],
     [600, False, False],
     [700, False, False],
     [850, False, True],
     [950, True, True],
     [1250, True, False],
     [1550, False, False],
     [1650, False, False],
     [1950, True, False],
     [2150, True, True],
     [2450, True, False],
     [2500, False, True]]],
   [False, False, False, False, False, True, False, False, False, False, True, False, False]],
  ['regression: scenario 6',
   [250,
    [[0, False, True],
     [150, True, True],
     [300, False, False],
     [400, False, True],
     [600, True, False],
     [650, True, True],
     [750, False, False],
     [1050, True, True]]],
   [False, True, False, False, False, True, False, True]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['control: scenario 1',
   [500,
    [[0, True, False],
     [150, True, False],
     [250, True, False],
     [300, False, False],
     [350, False, True],
     [650, False, True],
     [850, False, False],
     [1150, False, False],
     [1350, True, False],
     [1650, True, False],
     [1800, True, False],
     [1850, True, False],
     [1900, False, True]]],
   [False, False, False, False, False, False, False, False, False, False, False, False, 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 fixtureActualExpectedOutcome
regression: exact window[False, True, False][False, True, False]Passed
regression: normal cycle[False, True, True, False, False, False][False, True, True, False, False, True]Failed
control: late second hand[False, False, False, False, True][False, False, False, False, True]Passed
control: tie down one button[False, True, False, False, False, False][False, True, False, False, False, False]Passed
regression: simultaneous press then release one[False, False, False][True, False, False]Failed
regression: scenario 1[False, False, False, False, False, False, False, False, False, False][False, True, True, True, True, True, False, False, True, True]Failed
regression: scenario 2[False, False, False, False, False, False, False, False][True, False, False, False, False, False, False, False]Failed
regression: scenario 3[False, True, True, False, False, False, False, False, False, False, False, True, True][False, True, True, False, True, True, False, False, False, False, False, True, True]Failed

SHA-256 / 31fbab3b149bedf26826f78058e3351ad6f921ece0f8d11b4e4c43a9e59c9615

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(window, samples):
    first_press = None
    armed = True
    run = False
    out = []
    for t, left, right in samples:
        left = bool(left)
        right = bool(right)
        if not left and not right:
            armed = True
            first_press = None
            run = False
        elif left and right:
            if not run:
                begin = t if first_press is None else first_press
                if armed and t - begin <= window:
                    run = True
                armed = False
        else:
            run = False
            if first_press is None:
                first_press = t
        out.append(run)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: scenario 1',
   [200,
    [[0, False, False],
     [100, True, True],
     [400, True, True],
     [500, True, True],
     [650, True, True],
     [850, True, True],
     [1050, True, False],
     [1100, False, False],
     [1300, True, True],
     [1600, True, True]]],
   [False, True, True, True, True, True, False, False, True, True]],
  ['regression: scenario 2',
   [200,
    [[0, True, True],
     [50, True, False],
     [200, True, True],
     [250, False, False],
     [300, False, True],
     [400, False, False],
     [450, False, False],
     [550, False, True]]],
   [True, False, False, False, False, False, False, False]],
  ['regression: scenario 3',
   [200,
    [[0, True, False],
     [150, True, True],
     [200, True, True],
     [400, False, False],
     [500, True, True],
     [700, True, True],
     [850, True, False],
     [1000, True, False],
     [1100, False, False],
     [1400, True, False],
     [1450, False, True],
     [1600, True, True],
     [1700, True, True]]],
   [False, True, True, False, True, True, False, False, False, False, False, True, True]]],
 [['regression: scenario 16',
   [500,
    [[0, True, False],
     [50, False, False],
     [350, False, True],
     [550, True, False],
     [850, True, True],
     [1050, True, False],
     [1150, False, False],
     [1250, True, True],
     [1550, True, False],
     [1700, True, False]]],
   [False, False, False, False, True, False, False, True, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: scenario 1',
   [250,
    [[0, True, True],
     [50, True, True],
     [200, False, True],
     [300, True, True],
     [600, True, True],
     [750, False, True],
     [850, False, False],
     [1000, False, True],
     [1100, True, True]]],
   [True, True, False, False, False, False, False, False, True]],
  ['regression: scenario 2',
   [250,
    [[0, True, True],
     [50, False, True],
     [200, False, False],
     [250, True, False],
     [400, True, True],
     [500, True, True],
     [650, False, False],
     [700, True, True],
     [850, False, False],
     [1000, False, True],
     [1150, False, True],
     [1250, False, True],
     [1550, False, False]]],
   [True, False, False, False, True, True, False, True, False, False, False, False, False]]],
 [['regression: scenario 19',
   [500,
    [[0, True, False],
     [50, True, False],
     [350, False, True],
     [500, True, True],
     [550, True, False],
     [650, False, False],
     [850, False, False],
     [900, True, False],
     [1050, True, False]]],
   [False, False, False, True, False, False, False, False, False]],
  ['regression: scenario 2',
   [250,
    [[0, False, False],
     [150, False, False],
     [350, False, False],
     [400, True, True],
     [600, True, False],
     [750, False, True],
     [1050, True, True],
     [1150, True, True],
     [1350, True, False],
     [1400, False, False],
     [1550, True, False]]],
   [False, False, False, True, False, False, False, False, False, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['control: scenario 1',
   [200,
    [[0, False, True],
     [100, False, False],
     [250, False, False],
     [300, True, False],
     [400, True, False],
     [450, False, True],
     [550, True, False],
     [700, True, False],
     [800, False, True]]],
   [False, False, False, False, False, False, False, False, False]]],
 [['regression: scenario 55',
   [200,
    [[0, True, True],
     [100, False, False],
     [200, True, True],
     [250, True, True],
     [550, False, False],
     [750, True, True],
     [850, False, False],
     [950, False, True],
     [1150, True, True],
     [1200, False, False]]],
   [True, False, True, True, False, True, False, False, True, False]],
  ['regression: scenario 2',
   [250,
    [[0, True, False],
     [150, False, False],
     [200, True, True],
     [350, False, False],
     [400, True, False],
     [500, False, False],
     [800, True, False],
     [1000, True, False],
     [1050, False, False],
     [1100, True, False],
     [1400, False, False],
     [1450, False, False],
     [1600, False, True],
     [1800, True, False]]],
   [False, False, True, False, False, False, False, False, False, False, False, False, False, False]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['regression: scenario 1',
   [250,
    [[0, False, True],
     [200, False, False],
     [250, True, False],
     [550, True, False],
     [650, True, True],
     [700, True, False],
     [900, True, True],
     [1100, True, False],
     [1200, False, True],
     [1300, True, False],
     [1450, False, True],
     [1650, False, False],
     [1800, True, True]]],
   [False, False, False, False, False, False, False, False, False, False, False, False, True]]],
 [['regression: scenario 13',
   [200,
    [[0, False, True],
     [300, True, True],
     [600, False, False],
     [700, False, False],
     [850, False, True],
     [950, True, True],
     [1250, True, False],
     [1550, False, False],
     [1650, False, False],
     [1950, True, False],
     [2150, True, True],
     [2450, True, False],
     [2500, False, True]]],
   [False, False, False, False, False, True, False, False, False, False, True, False, False]],
  ['regression: scenario 6',
   [250,
    [[0, False, True],
     [150, True, True],
     [300, False, False],
     [400, False, True],
     [600, True, False],
     [650, True, True],
     [750, False, False],
     [1050, True, True]]],
   [False, True, False, False, False, True, False, True]],
  ['regression: normal cycle',
   [500,
    [[0, True, False],
     [300, True, True],
     [400, True, True],
     [500, False, True],
     [600, False, False],
     [700, True, True]]],
   [False, True, True, False, False, True]],
  ['control: late second hand',
   [200, [[0, True, False], [300, True, True], [400, False, False], [500, True, False], [600, True, True]]],
   [False, False, False, False, True]],
  ['regression: exact window',
   [200, [[0, False, True], [200, True, True], [300, False, False]]],
   [False, True, False]],
  ['control: tie down one button',
   [200,
    [[0, True, False],
     [100, True, True],
     [200, True, False],
     [300, True, True],
     [400, True, False],
     [450, True, True]]],
   [False, True, False, False, False, False]],
  ['regression: simultaneous press then release one',
   [200, [[0, True, True], [100, True, False], [200, True, True]]],
   [True, False, False]],
  ['control: scenario 1',
   [500,
    [[0, True, False],
     [150, True, False],
     [250, True, False],
     [300, False, False],
     [350, False, True],
     [650, False, True],
     [850, False, False],
     [1150, False, False],
     [1350, True, False],
     [1650, True, False],
     [1800, True, False],
     [1850, True, False],
     [1900, False, True]]],
   [False, False, False, False, False, False, False, False, False, False, False, False, 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 fixtureActualExpectedOutcome
regression: exact window[False, True, False][False, True, False]Passed
regression: normal cycle[False, True, True, False, False, True][False, True, True, False, False, True]Passed
control: late second hand[False, False, False, False, True][False, False, False, False, True]Passed
control: tie down one button[False, True, False, False, False, False][False, True, False, False, False, False]Passed
regression: simultaneous press then release one[True, False, False][True, False, False]Passed
regression: scenario 1[False, True, True, True, True, True, False, False, True, True][False, True, True, True, True, True, False, False, True, True]Passed
regression: scenario 2[True, False, False, False, False, False, False, False][True, False, False, False, False, False, False, False]Passed
regression: scenario 3[False, True, True, False, True, True, False, False, False, False, False, True, True][False, True, True, False, True, True, False, False, False, False, False, True, True]Passed

SHA-256 / 1860ee55cf6c89a57201762def659ed6c9110a4e4f5726a79736430f92ae2dd3

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 2026-09-29T14:51:44.254241+00:00.

Case digest / 40c50f04c7324310f53c447c67674265a64d1c022519d7d86b42b016737b48b1