The Mechanism · Gated-generation receipt

gen-explain-satisfiability-as-you-would-to-a-capable-student-in-db59

stable pending witness
2026-05-29 08:07:10 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain satisfiability as you would to a capable student, in 3-4 sentences.
75 chars

Generation

Satisfiability asks whether there exists an assignment of true/false values to variables that makes a logical formula true. For example, the formula "(A OR B) AND (NOT A OR C)" is satisfiable because setting A=true, B=true, and C=true makes the whole expression true. In contrast, "(A AND NOT A)" is unsatisfiable—no value of A can make it true. This seemingly simple question becomes computationally hard for complex formulas, which is why SAT (the satisfiability problem) is famous as the first problem proven to be NP-complete.
28 tokens in · 132 tokens out · 4588 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
4595.0 ms
Base LLM
4588.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

08:07:10 received prompt_chars=75 verifiers=['scripture_anchors', 'theology_doctrine']
08:07:10 red_gate decision=pass reason=no disqualifying input patterns detected
08:07:15 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=132 latency_ms=4588.1 cost_usd=0.0021
08:07:15 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:07:15 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:07:15 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:07:15 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:07:15 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:07:15 signed hash_algo=sha256 hash=sha256:40b98336cb95cb8d57e93e1215f69af2dcc9456e5ae8842eaeb66503a041c28a

Content hash

sha256:40b98336cb95cb8d57e93e1215f69af2dcc9456e5ae8842eaeb66503a041c28a

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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