The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-tautology-and-contradiction-state-a-7a21

hold
2026-05-29 03:02:33 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain tautology and contradiction. State any key formula.
77 chars

Generation

A **tautology** is a logical statement that is always true regardless of the truth values of its components, such as "P ∨ ¬P" (P or not P). A **contradiction** is a logical statement that is always false regardless of the truth values of its components, such as "P ∧ ¬P" (P and not P). **Key formulas:** - Tautology: P ∨ ¬P (Law of Excluded Middle) - Contradiction: P ∧ ¬P (Law of Noncontradiction)
27 tokens in · 137 tokens out · 3419 ms · $0.0021

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
wait
output contains coercion language: ['regardless of']
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
3428.8 ms
Base LLM
3419.3 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0021

Trail

03:02:33 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
03:02:33 red_gate decision=pass reason=no disqualifying input patterns detected
03:02:36 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=137 latency_ms=3419.3 cost_usd=0.0021
03:02:36 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:02:36 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:02:36 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:02:36 way_gate decision=wait reason=output contains coercion language: ['regardless of']
03:02:36 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:02:36 signed hash_algo=sha256 hash=sha256:2d580b502232870e576ce1632e63a58466a0cc90f9bc6b8128f76b4473ca856c

Content hash

sha256:2d580b502232870e576ce1632e63a58466a0cc90f9bc6b8128f76b4473ca856c

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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