The Mechanism · Gated-generation receipt

gen-define-tautology-and-contradiction-and-give-one-short-worked-5047

hold
2026-05-29 03:22:04 UTC · anthropic/claude-sonnet-4-5

Prompt

Define tautology and contradiction and give one short worked example.
69 chars

Generation

# Tautology and Contradiction **Tautology**: A statement that is always true, regardless of the truth values of its components. **Contradiction**: A statement that is always false, regardless of the truth values of its components. ## Worked Example Consider the statement: **p ∨ ¬p** (p OR NOT p) | p | ¬p | p ∨ ¬p | |---|-------|---------| | T | F | **T** | | F | T | **T** | This is a **tautology** — it's true whether p is true or false. (Example: "It will rain tomorrow OR it won't rain tomorrow.") Now consider: **p ∧ ¬p** (p AND NOT p) | p | ¬p | p ∧ ¬p | |---|-------|---------| | T | F | **F** | | F | T | **F** | This is a **contradiction** — it's always false. (Example: "It's raining AND it's not raining.")
20 tokens in · 258 tokens out · 4935 ms · $0.0039

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
4942.5 ms
Base LLM
4935.5 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0039

Trail

03:22:04 received prompt_chars=69 verifiers=['scripture_anchors', 'theology_doctrine']
03:22:04 red_gate decision=pass reason=no disqualifying input patterns detected
03:22:09 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=20 tokens_out=258 latency_ms=4935.5 cost_usd=0.0039
03:22:09 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:22:09 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:22:09 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:22:09 way_gate decision=wait reason=output contains coercion language: ['regardless of']
03:22:09 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:22:09 signed hash_algo=sha256 hash=sha256:84fd6b3146b86168f92e514d61bcedacb17dfdb8ac01bdb28ffde26ad5782441

Content hash

sha256:84fd6b3146b86168f92e514d61bcedacb17dfdb8ac01bdb28ffde26ad5782441

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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