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FA-67176 / Railway interlocking logic / Open access

Signal replacement and stick control: replacement stick latch · case 01

A signal re-clears behind a train for a following train on the same route setting.

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

ROOT CAUSE

A train passing a clear signal never latches the stick.

VERIFIED REPAIR

Latch the stick whenever a clear signal is passed.

Unsuccessful approach: Latching only for controlled signals lets approach-released signals re-clear behind the train.

Case contract

Each step gives [section beyond occupied, route set, approach occupied]. An auto signal behaves as permanently routed. A signal shows danger whenever the section beyond is occupied; a signal that was clear when a train occupies that section latches a stick that keeps it at danger until the route is set afresh (off then on); auto signals drop the stick every step. Otherwise it clears when routed, not stuck, and for approach-released signals only with the approach occupied. Output the state per step.

Why this case matters

Interlocking logic decides whether trains may be given authority; a wrong decision at this point either grants unsafe movements or strands traffic.

1 / The failure

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

N = 1
observations = []
def solve(x):
    mode = x['mode']
    state = 'danger'
    stick = False
    prev_route = False
    out = []
    for occ, route, appr in x['steps']:
        if mode == 'auto':
            route = True
        if (route and not prev_route) or mode == 'auto':
            stick = False
        if occ:
            pass
            state = 'danger'
        elif route and not stick and (mode != 'approach' or appr):
            state = 'clear'
        else:
            state = 'danger'
        prev_route = route
        out.append(state)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 5', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True], [False, True, True], [True, True, False], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('control 1', {'mode': 'auto', 'steps': [[False, True, False], [False, False, True], [False, True, False], [False, False, True], [False, False, False]]}, ['clear', 'clear', 'clear', 'clear', 'clear']), ('sampled regression 4', {'mode': 'controlled', 'steps': [[False, False, False], [False, True, True], [True, True, True], [False, True, True], [False, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger']), ('control 7', {'mode': 'approach', 'steps': [[False, False, False], [False, False, False], [False, False, True], [False, False, True], [False, True, False], [False, False, True], [False, True, True], [False, True, True], [False, True, True], [True, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger'])], [('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 64', {'mode': 'approach', 'steps': [[True, True, True], [False, False, True], [False, True, True], [True, True, True], [True, True, False], [False, True, False], [False, True, False], [False, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('sampled regression 50', {'mode': 'approach', 'steps': [[True, True, True], [False, True, True], [True, True, False], [True, True, False], [False, True, True], [False, False, False], [False, False, False], [True, False, True], [False, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('boundary: automatic signal re-clears', {'mode': 'auto', 'steps': [[False, False, False], [True, False, True], [False, False, False]]}, ['clear', 'danger', 'clear']), ('control 12', {'mode': 'controlled', 'steps': [[False, False, True], [False, True, True], [True, False, True], [False, False, False], [False, False, True], [True, True, True], [True, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 15', {'mode': 'approach', 'steps': [[False, True, True], [False, True, False], [False, True, True]]}, ['clear', 'danger', 'clear']), ('control 18', {'mode': 'approach', 'steps': [[False, True, False], [False, False, False], [False, False, False], [True, True, False], [False, True, False], [True, True, True], [False, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear'])], [('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 19', {'mode': 'controlled', 'steps': [[True, False, False], [False, False, True], [True, True, True], [False, False, True], [False, False, True], [False, True, True], [True, True, True], [False, True, False]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'danger', 'danger']), ('sampled regression 64', {'mode': 'approach', 'steps': [[True, True, True], [False, False, True], [False, True, True], [True, True, True], [True, True, False], [False, True, False], [False, True, False], [False, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('boundary: automatic signal re-clears', {'mode': 'auto', 'steps': [[False, False, False], [True, False, True], [False, False, False]]}, ['clear', 'danger', 'clear']), ('sampled regression 23', {'mode': 'controlled', 'steps': [[False, True, True], [False, True, False], [False, True, True], [True, True, False], [False, True, False]]}, ['clear', 'clear', 'clear', 'danger', 'danger']), ('control 26', {'mode': 'approach', 'steps': [[False, False, False], [False, True, True], [True, True, False], [True, False, True], [True, True, False], [True, False, True], [False, False, False], [False, True, True], [False, False, True], [False, True, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'danger', 'danger']), ('control 29', {'mode': 'auto', 'steps': [[True, False, False], [False, False, False], [True, False, False], [False, False, True], [False, False, False], [False, True, True], [False, True, True], [False, False, False], [True, False, True], [False, True, False]]}, ['danger', 'clear', 'danger', 'clear', 'clear', 'clear', 'clear', 'clear', 'danger', 'clear'])], [('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('boundary: controlled signal with a standing train', {'mode': 'controlled', 'steps': [[True, True, True], [False, True, True]]}, ['danger', 'clear']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('control 34', {'mode': 'approach', 'steps': [[False, True, True], [False, False, False], [False, True, True], [False, False, False], [True, False, True], [False, False, True], [True, False, False], [True, False, True]]}, ['clear', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 37', {'mode': 'approach', 'steps': [[False, False, True], [True, False, False], [False, False, True], [False, False, True], [True, False, True], [False, False, False], [False, False, True], [False, False, True], [False, False, False]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 40', {'mode': 'auto', 'steps': [[False, True, True], [True, True, True], [False, True, True], [False, True, False], [True, False, True], [True, False, True], [True, False, True]]}, ['clear', 'danger', 'clear', 'clear', 'danger', 'danger', 'danger'])], [('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 24', {'mode': 'controlled', 'steps': [[False, False, True], [False, False, True], [False, True, False], [False, True, True], [False, True, True], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'clear', 'clear', 'danger', 'danger', 'danger']), ('sampled regression 5', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True], [False, True, True], [True, True, False], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('control 45', {'mode': 'approach', 'steps': [[False, False, False], [False, False, False], [False, True, False], [False, True, False], [True, True, False], [False, True, False], [False, True, False], [False, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear']), ('control 48', {'mode': 'approach', 'steps': [[True, True, False], [False, True, True], [False, False, False], [False, False, True], [False, True, True], [True, True, False]]}, ['danger', 'clear', 'danger', 'danger', 'clear', 'danger']), ('control 51', {'mode': 'controlled', 'steps': [[False, False, True], [False, False, False], [False, True, False], [False, True, True], [True, False, True], [False, False, True], [True, True, False]]}, ['danger', 'danger', 'clear', 'clear', 'danger', 'danger', 'danger'])]]
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: second train behind on the same route['clear', 'danger', 'clear']['clear', 'danger', 'danger']Failed
regression: approach-released signal replaced by train['clear', 'danger', 'clear']['clear', 'danger', 'danger']Failed
sampled regression 5['danger', 'clear', 'clear', 'danger', 'danger', 'clear', 'clear']['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']Failed
boundary: route re-set after a train['clear', 'danger', 'danger', 'clear']['clear', 'danger', 'danger', 'clear']Passed
boundary: approach-released signal with empty approach['danger', 'clear']['danger', 'clear']Passed
control 1['clear', 'clear', 'clear', 'clear', 'clear']['clear', 'clear', 'clear', 'clear', 'clear']Passed
sampled regression 4['danger', 'clear', 'danger', 'clear', 'danger']['danger', 'clear', 'danger', 'danger', 'danger']Failed
control 7['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger']['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger']Passed

SHA-256 / 400b72490bd4c6cd3962f647cb9f8cf2ba30c39a537926d2b3fa83422018168b

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(x):
    mode = x['mode']
    state = 'danger'
    stick = False
    prev_route = False
    out = []
    for occ, route, appr in x['steps']:
        if mode == 'auto':
            route = True
        if (route and not prev_route) or mode == 'auto':
            stick = False
        if occ:
            if state == 'clear' and mode == 'controlled':
                stick = True
            state = 'danger'
        elif route and not stick and (mode != 'approach' or appr):
            state = 'clear'
        else:
            state = 'danger'
        prev_route = route
        out.append(state)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 5', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True], [False, True, True], [True, True, False], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('control 1', {'mode': 'auto', 'steps': [[False, True, False], [False, False, True], [False, True, False], [False, False, True], [False, False, False]]}, ['clear', 'clear', 'clear', 'clear', 'clear']), ('sampled regression 4', {'mode': 'controlled', 'steps': [[False, False, False], [False, True, True], [True, True, True], [False, True, True], [False, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger']), ('control 7', {'mode': 'approach', 'steps': [[False, False, False], [False, False, False], [False, False, True], [False, False, True], [False, True, False], [False, False, True], [False, True, True], [False, True, True], [False, True, True], [True, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger'])], [('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 64', {'mode': 'approach', 'steps': [[True, True, True], [False, False, True], [False, True, True], [True, True, True], [True, True, False], [False, True, False], [False, True, False], [False, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('sampled regression 50', {'mode': 'approach', 'steps': [[True, True, True], [False, True, True], [True, True, False], [True, True, False], [False, True, True], [False, False, False], [False, False, False], [True, False, True], [False, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('boundary: automatic signal re-clears', {'mode': 'auto', 'steps': [[False, False, False], [True, False, True], [False, False, False]]}, ['clear', 'danger', 'clear']), ('control 12', {'mode': 'controlled', 'steps': [[False, False, True], [False, True, True], [True, False, True], [False, False, False], [False, False, True], [True, True, True], [True, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 15', {'mode': 'approach', 'steps': [[False, True, True], [False, True, False], [False, True, True]]}, ['clear', 'danger', 'clear']), ('control 18', {'mode': 'approach', 'steps': [[False, True, False], [False, False, False], [False, False, False], [True, True, False], [False, True, False], [True, True, True], [False, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear'])], [('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 19', {'mode': 'controlled', 'steps': [[True, False, False], [False, False, True], [True, True, True], [False, False, True], [False, False, True], [False, True, True], [True, True, True], [False, True, False]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'danger', 'danger']), ('sampled regression 64', {'mode': 'approach', 'steps': [[True, True, True], [False, False, True], [False, True, True], [True, True, True], [True, True, False], [False, True, False], [False, True, False], [False, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('boundary: automatic signal re-clears', {'mode': 'auto', 'steps': [[False, False, False], [True, False, True], [False, False, False]]}, ['clear', 'danger', 'clear']), ('sampled regression 23', {'mode': 'controlled', 'steps': [[False, True, True], [False, True, False], [False, True, True], [True, True, False], [False, True, False]]}, ['clear', 'clear', 'clear', 'danger', 'danger']), ('control 26', {'mode': 'approach', 'steps': [[False, False, False], [False, True, True], [True, True, False], [True, False, True], [True, True, False], [True, False, True], [False, False, False], [False, True, True], [False, False, True], [False, True, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'danger', 'danger']), ('control 29', {'mode': 'auto', 'steps': [[True, False, False], [False, False, False], [True, False, False], [False, False, True], [False, False, False], [False, True, True], [False, True, True], [False, False, False], [True, False, True], [False, True, False]]}, ['danger', 'clear', 'danger', 'clear', 'clear', 'clear', 'clear', 'clear', 'danger', 'clear'])], [('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('boundary: controlled signal with a standing train', {'mode': 'controlled', 'steps': [[True, True, True], [False, True, True]]}, ['danger', 'clear']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('control 34', {'mode': 'approach', 'steps': [[False, True, True], [False, False, False], [False, True, True], [False, False, False], [True, False, True], [False, False, True], [True, False, False], [True, False, True]]}, ['clear', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 37', {'mode': 'approach', 'steps': [[False, False, True], [True, False, False], [False, False, True], [False, False, True], [True, False, True], [False, False, False], [False, False, True], [False, False, True], [False, False, False]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 40', {'mode': 'auto', 'steps': [[False, True, True], [True, True, True], [False, True, True], [False, True, False], [True, False, True], [True, False, True], [True, False, True]]}, ['clear', 'danger', 'clear', 'clear', 'danger', 'danger', 'danger'])], [('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 24', {'mode': 'controlled', 'steps': [[False, False, True], [False, False, True], [False, True, False], [False, True, True], [False, True, True], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'clear', 'clear', 'danger', 'danger', 'danger']), ('sampled regression 5', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True], [False, True, True], [True, True, False], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('control 45', {'mode': 'approach', 'steps': [[False, False, False], [False, False, False], [False, True, False], [False, True, False], [True, True, False], [False, True, False], [False, True, False], [False, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear']), ('control 48', {'mode': 'approach', 'steps': [[True, True, False], [False, True, True], [False, False, False], [False, False, True], [False, True, True], [True, True, False]]}, ['danger', 'clear', 'danger', 'danger', 'clear', 'danger']), ('control 51', {'mode': 'controlled', 'steps': [[False, False, True], [False, False, False], [False, True, False], [False, True, True], [True, False, True], [False, False, True], [True, True, False]]}, ['danger', 'danger', 'clear', 'clear', 'danger', 'danger', 'danger'])]]
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: second train behind on the same route['clear', 'danger', 'danger']['clear', 'danger', 'danger']Passed
regression: approach-released signal replaced by train['clear', 'danger', 'clear']['clear', 'danger', 'danger']Failed
sampled regression 5['danger', 'clear', 'clear', 'danger', 'danger', 'clear', 'clear']['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']Failed
boundary: route re-set after a train['clear', 'danger', 'danger', 'clear']['clear', 'danger', 'danger', 'clear']Passed
boundary: approach-released signal with empty approach['danger', 'clear']['danger', 'clear']Passed
control 1['clear', 'clear', 'clear', 'clear', 'clear']['clear', 'clear', 'clear', 'clear', 'clear']Passed
sampled regression 4['danger', 'clear', 'danger', 'danger', 'danger']['danger', 'clear', 'danger', 'danger', 'danger']Passed
control 7['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger']['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger']Passed

SHA-256 / dcc0b1ed2ef58cd1cd10038abbae0f6c8cf1ecf4555bd2b1ea9cfce8bfa179d6

3 / The verified repair

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

N = 1
observations = []
def solve(x):
    mode = x['mode']
    state = 'danger'
    stick = False
    prev_route = False
    out = []
    for occ, route, appr in x['steps']:
        if mode == 'auto':
            route = True
        if (route and not prev_route) or mode == 'auto':
            stick = False
        if occ:
            if state == 'clear':
                stick = True
            state = 'danger'
        elif route and not stick and (mode != 'approach' or appr):
            state = 'clear'
        else:
            state = 'danger'
        prev_route = route
        out.append(state)
    return out
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 5', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True], [False, True, True], [True, True, False], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('control 1', {'mode': 'auto', 'steps': [[False, True, False], [False, False, True], [False, True, False], [False, False, True], [False, False, False]]}, ['clear', 'clear', 'clear', 'clear', 'clear']), ('sampled regression 4', {'mode': 'controlled', 'steps': [[False, False, False], [False, True, True], [True, True, True], [False, True, True], [False, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger']), ('control 7', {'mode': 'approach', 'steps': [[False, False, False], [False, False, False], [False, False, True], [False, False, True], [False, True, False], [False, False, True], [False, True, True], [False, True, True], [False, True, True], [True, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger'])], [('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 64', {'mode': 'approach', 'steps': [[True, True, True], [False, False, True], [False, True, True], [True, True, True], [True, True, False], [False, True, False], [False, True, False], [False, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('sampled regression 50', {'mode': 'approach', 'steps': [[True, True, True], [False, True, True], [True, True, False], [True, True, False], [False, True, True], [False, False, False], [False, False, False], [True, False, True], [False, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('boundary: automatic signal re-clears', {'mode': 'auto', 'steps': [[False, False, False], [True, False, True], [False, False, False]]}, ['clear', 'danger', 'clear']), ('control 12', {'mode': 'controlled', 'steps': [[False, False, True], [False, True, True], [True, False, True], [False, False, False], [False, False, True], [True, True, True], [True, False, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 15', {'mode': 'approach', 'steps': [[False, True, True], [False, True, False], [False, True, True]]}, ['clear', 'danger', 'clear']), ('control 18', {'mode': 'approach', 'steps': [[False, True, False], [False, False, False], [False, False, False], [True, True, False], [False, True, False], [True, True, True], [False, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear'])], [('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 19', {'mode': 'controlled', 'steps': [[True, False, False], [False, False, True], [True, True, True], [False, False, True], [False, False, True], [False, True, True], [True, True, True], [False, True, False]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'danger', 'danger']), ('sampled regression 64', {'mode': 'approach', 'steps': [[True, True, True], [False, False, True], [False, True, True], [True, True, True], [True, True, False], [False, True, False], [False, True, False], [False, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('boundary: automatic signal re-clears', {'mode': 'auto', 'steps': [[False, False, False], [True, False, True], [False, False, False]]}, ['clear', 'danger', 'clear']), ('sampled regression 23', {'mode': 'controlled', 'steps': [[False, True, True], [False, True, False], [False, True, True], [True, True, False], [False, True, False]]}, ['clear', 'clear', 'clear', 'danger', 'danger']), ('control 26', {'mode': 'approach', 'steps': [[False, False, False], [False, True, True], [True, True, False], [True, False, True], [True, True, False], [True, False, True], [False, False, False], [False, True, True], [False, False, True], [False, True, False]]}, ['danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'danger', 'danger']), ('control 29', {'mode': 'auto', 'steps': [[True, False, False], [False, False, False], [True, False, False], [False, False, True], [False, False, False], [False, True, True], [False, True, True], [False, False, False], [True, False, True], [False, True, False]]}, ['danger', 'clear', 'danger', 'clear', 'clear', 'clear', 'clear', 'clear', 'danger', 'clear'])], [('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('boundary: controlled signal with a standing train', {'mode': 'controlled', 'steps': [[True, True, True], [False, True, True]]}, ['danger', 'clear']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('boundary: approach-released signal with empty approach', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True]]}, ['danger', 'clear']), ('control 34', {'mode': 'approach', 'steps': [[False, True, True], [False, False, False], [False, True, True], [False, False, False], [True, False, True], [False, False, True], [True, False, False], [True, False, True]]}, ['clear', 'danger', 'clear', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 37', {'mode': 'approach', 'steps': [[False, False, True], [True, False, False], [False, False, True], [False, False, True], [True, False, True], [False, False, False], [False, False, True], [False, False, True], [False, False, False]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger']), ('control 40', {'mode': 'auto', 'steps': [[False, True, True], [True, True, True], [False, True, True], [False, True, False], [True, False, True], [True, False, True], [True, False, True]]}, ['clear', 'danger', 'clear', 'clear', 'danger', 'danger', 'danger'])], [('regression: second train behind on the same route', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('regression: approach-released signal replaced by train', {'mode': 'approach', 'steps': [[False, True, True], [True, True, True], [False, True, True]]}, ['clear', 'danger', 'danger']), ('sampled regression 24', {'mode': 'controlled', 'steps': [[False, False, True], [False, False, True], [False, True, False], [False, True, True], [False, True, True], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'danger', 'clear', 'clear', 'clear', 'danger', 'danger', 'danger']), ('sampled regression 5', {'mode': 'approach', 'steps': [[False, True, False], [False, True, True], [False, True, True], [True, True, False], [True, True, True], [False, True, True], [False, True, True]]}, ['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']), ('boundary: route re-set after a train', {'mode': 'controlled', 'steps': [[False, True, True], [True, True, True], [False, False, True], [False, True, True]]}, ['clear', 'danger', 'danger', 'clear']), ('control 45', {'mode': 'approach', 'steps': [[False, False, False], [False, False, False], [False, True, False], [False, True, False], [True, True, False], [False, True, False], [False, True, False], [False, True, True]]}, ['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear']), ('control 48', {'mode': 'approach', 'steps': [[True, True, False], [False, True, True], [False, False, False], [False, False, True], [False, True, True], [True, True, False]]}, ['danger', 'clear', 'danger', 'danger', 'clear', 'danger']), ('control 51', {'mode': 'controlled', 'steps': [[False, False, True], [False, False, False], [False, True, False], [False, True, True], [True, False, True], [False, False, True], [True, True, False]]}, ['danger', 'danger', 'clear', 'clear', 'danger', 'danger', 'danger'])]]
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: second train behind on the same route['clear', 'danger', 'danger']['clear', 'danger', 'danger']Passed
regression: approach-released signal replaced by train['clear', 'danger', 'danger']['clear', 'danger', 'danger']Passed
sampled regression 5['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']['danger', 'clear', 'clear', 'danger', 'danger', 'danger', 'danger']Passed
boundary: route re-set after a train['clear', 'danger', 'danger', 'clear']['clear', 'danger', 'danger', 'clear']Passed
boundary: approach-released signal with empty approach['danger', 'clear']['danger', 'clear']Passed
control 1['clear', 'clear', 'clear', 'clear', 'clear']['clear', 'clear', 'clear', 'clear', 'clear']Passed
sampled regression 4['danger', 'clear', 'danger', 'danger', 'danger']['danger', 'clear', 'danger', 'danger', 'danger']Passed
control 7['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger']['danger', 'danger', 'danger', 'danger', 'danger', 'danger', 'clear', 'clear', 'clear', 'danger']Passed

SHA-256 / bbb2848444211f87f21b0c6cc7a25d5c90c04d7f55d6cc4826ebf9ab12dfc8b1

Verification & scope

Stipulated toy interlocking contract for a bounded teaching model; it makes no claim of conformance to any railway signalling standard and omits real safety cases. 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 2026-09-29T14:47:50.462547+00:00.

Case digest / 92ec696b1f53db3f1d96c39bf020a4ec384b757fde6b4508cc1a052f6d3fa29b