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=== NPC Reason — Dispatch 1: Verifier + Frozen Baseline ===

Verifier:  mechanical <<EXPR=RESULT>> checker (SymPy), pure-code, no LLM judgment.
           VERIFIER.lock d5d146cf… (also the later RL reward signal).
           tests: correct / arithmetic-error / fluency-trap / non-composing /
           verifiable-but-wrong / correct-but-unverifiable / variable-binding /
           unbound-fail-closed / tolerance(exact+1e-6) / extraction — 14/14 pass.
Eval:      500 problems = 300 GSM8K(test) + 200 MATH-500, held-out & frozen.
           EVAL.lock e1573cab… ; meta records sources/splits/seed(20260615). Never training data.
Baseline:  DeepSeek-R1-Distill-Qwen-1.5B (MIT), untouched, greedy/deterministic (seed 0,
           max_tokens 12288, ctx 16384). 1000 chains in 556s. BASELINE.lock frozen.

                            plain-prompt   format-prompt
           verifiable-rate       0.0%           0.0%      <-- base never emits <<...>> (1/500 contain "<<")
           accuracy             59.8%          61.6%      (floor; greedy repetition leaves 83/500 fmt no-answer)
           verified-and-correct  0.0%           0.0%
           mean assertions/chain  0.0            0.0

Reading:   The base does NOT produce mechanically-checkable steps, even when explicitly asked
           (format-prompt verifiable-rate is 0%, not just plain). The project's headline delta
           is therefore real and large-headroom: any verifiable-rate NPC Reason reaches is lift
           over ~0. Accuracy is a separate axis (~60%) and is the guard, not the goal.

Prereg:    FROZEN before training (PREREG.lock b5a49437…). Bars committed:
             1. primary: verified-and-correct +>=15pp over format baseline (i.e. >=15%)
             2. verifiable-rate >= 90%
             3. accuracy must not regress > 5pp below format accuracy 61.6% (i.e. >= 56.6%)
             4. RL gated on SFT passing 1-3; RL criteria pre-registered later.
           Honesty clause: a null (training fails to beat format baseline) is a valid finding.

Next:      Dispatch 2 = generate DeepSeek-V4 verifiable <<...>> chains, code-filter against
           VERIFIER.lock, SFT-distill into R1-Distill-1.5B; decontaminate against EVAL.lock.
GPU:       inference only; A40 ~4.5GB peak. No training performed this dispatch.

Notes:     - Re-ran baseline at 12288 tokens (from 4096) to remove a truncation artifact;
             4096 run archived at baseline/baseline_results.trunc4096.json. verifiable-rate
             0% in BOTH runs (robust). Verifier frozen BEFORE both baseline runs (not tuned to them).
           - R1-Distill greedy repetition (vendor recommends temp 0.6) leaves ~17% of chains
             without a final answer; counted wrong, so accuracy is a floor. Same decoding will
             apply post-training -> apples-to-apples.