The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-modus-tollens-state-any-key-formula-79b8

stable pending witness
2026-05-29 05:32:26 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain modus tollens. State any key formula.
63 chars

Generation

Modus tollens is a valid form of deductive reasoning that works by denying the consequent of a conditional statement. The logical structure is: if we know "if P then Q" is true, and we know Q is false, then we can conclude P must be false. **Key formula:** - If P → Q (if P then Q) - ¬Q (not Q) - Therefore, ¬P (therefore, not P) For example: "If it's raining, the ground is wet. The ground is not wet. Therefore, it's not raining."
26 tokens in · 135 tokens out · 3150 ms · $0.0021

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
3155.9 ms
Base LLM
3150.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

05:32:26 received prompt_chars=63 verifiers=['scripture_anchors', 'theology_doctrine']
05:32:26 red_gate decision=pass reason=no disqualifying input patterns detected
05:32:29 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=135 latency_ms=3150.1 cost_usd=0.0021
05:32:29 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:32:29 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:32:29 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:32:29 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:32:29 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:32:29 signed hash_algo=sha256 hash=sha256:0cba4d4710d49c44aa43bddf43c7aa45a7c32e6a43520ff9442dbba33de605de

Content hash

sha256:0cba4d4710d49c44aa43bddf43c7aa45a7c32e6a43520ff9442dbba33de605de

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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