The Mechanism · Gated-generation receipt

gen-define-a-counterexample-and-give-one-short-worked-example-fefa

stable pending witness
2026-05-29 05:59:19 UTC · anthropic/claude-sonnet-4-5

Prompt

Define a counterexample and give one short worked example.
58 chars

Generation

# Counterexample **Definition:** A counterexample is a specific example that proves a general statement is false. Finding just one counterexample is sufficient to disprove a claim. ## Worked Example **Claim:** "All prime numbers are odd." **Counterexample:** The number 2 is prime (divisible only by 1 and itself) but 2 is even, not odd. Since we found one prime number that is not odd, the claim is false.
19 tokens in · 112 tokens out · 3023 ms · $0.0017

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
3034.2 ms
Base LLM
3022.9 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0017

Trail

05:59:19 received prompt_chars=58 verifiers=['scripture_anchors', 'theology_doctrine']
05:59:19 red_gate decision=pass reason=no disqualifying input patterns detected
05:59:22 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=19 tokens_out=112 latency_ms=3022.9 cost_usd=0.0017
05:59:22 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:59:22 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:59:22 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:59:22 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:59:22 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:59:22 signed hash_algo=sha256 hash=sha256:d512b417adde27ead78cbcd9de8e83cae1b2f2a3c85fe03f3f161a0cb61a5e9c

Content hash

sha256:d512b417adde27ead78cbcd9de8e83cae1b2f2a3c85fe03f3f161a0cb61a5e9c

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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