This is an independent PEFT LoRA checkpoint in the Kakeya OProver training journey. It is a proof-advisor research artifact, not an autonomous proof or mathematical truth claim.

Training Data

Public data config: repair-2800. Artifact SHA-256: 54944619e3625f8a9db88b7c2a84507b86ea1dfc55f43d68f240dd9609244389. Only Mathlib Apache-2.0 material and explicitly derived training negatives are included; provenance-incomplete OProofs mixtures were excluded.

Method

Compile-feedback repair SFT on 2,100 repair examples plus 700 rehearsal examples; validation used 300 repair plus 100 rehearsal examples.

Strict Lean Evaluation

All matched Stage2–Stage4 evaluations used 22 tasks (18 holdout + 4 canary), one frozen task order, seed, temperature, token budget, and context policy. Parser rate was 22/22 and unsafe generations were 0 for matched evaluations.

json

{
  "status": "QUALITY GO / PROOF-ADVISOR-ONLY",
  "all22": {
    "exact": 10,
    "n": 22,
    "parser": 22,
    "unsafe": 0,
    "ci95": [
      0.2438618659230165,
      0.6778952454468283
    ]
  },
  "holdout18": {
    "exact": 6,
    "n": 18,
    "ci95": [
      0.13342740250612353,
      0.5900747618279255
    ]
  },
  "canary4": {
    "exact": 4,
    "n": 4,
    "ci95": [
      0.3976353643835253,
      1.0
    ]
  },
  "audit_sha256": "f7bc7f2ed5bd09e36dfb67df122334d289269513abca20125b931bdc3202f740",
  "protocol_root": "6357188c7ecc3541d4b220aa19a5c826cbd81e448ed66cdd5a49b09d17d36c0e",
  "paired_stage2": {
    "all22_mcnemar_exact_two_sided_p": 1.0,
    "interpretation": "Difference not statistically significant."
  },
  "paired_clean_stage3": {
    "all22_mcnemar_exact_two_sided_p": 0.015625,
    "holdout18_p": 0.03125,
    "interpretation": "Stage4 improvement was significant."
  },
  "production_qualification": {
    "converted": "504/504",
    "canary": "12/12"
  },
  "jensen": {
    "status": "SEARCH_EXHAUSTED",
    "pass_at_6_lean_valid": 0,
    "rh_proved": false
  }
}

Safety

No private chain-of-thought, production prompts, Jensen candidate proof bodies, credentials, or raw candidate-bearing signed audits are published. Stage status constrains use; Stage4 is PROOF-ADVISOR-ONLY.

Known Failures

12/22 strict tasks were not exact. Quality gates passed, but the checkpoint is proof-advisor-only. Jensen Pass@6 produced 0 Lean-valid proofs: SEARCH_EXHAUSTED. RH PROVED: NO.

Intended Use

Research on Lean proof suggestion, evaluation, and repair. Every generated proof must be compiled and independently reviewed. Not intended for unsupervised theorem claims or production deployment without separate authorization.

Reproducibility

Base: m-a-p/OProver-8B at cd9ffd383b584d95bf00e04b88b35b05928b211c
Immutable source revision: 7dd2e239e0857c6feb585f009e6118c511cc8e17
Adapter SHA-256: a24765df00ba8213e0032c10cbcddb242a65ffee937520cea2b61bc0d2d68837
Dataset artifact SHA-256: 54944619e3625f8a9db88b7c2a84507b86ea1dfc55f43d68f240dd9609244389
Sanitized machine-readable files: evaluation/results.json, training/metrics.jsonl, training/trainer_state.json, provenance/manifest.json
Evaluation/audit digest references are in evaluation/results.json; raw candidate-bearing artifacts remain private.

Limitations

Small, single-seed strict suites cannot establish broad theorem-proving capability. Exact Lean rates have wide confidence intervals. Stage4 did not significantly outperform Stage2 in the matched paired test. Jensen remained SEARCH_EXHAUSTED with 0/6 Lean-valid candidates. RH PROVED: NO.

Attribution

Base model: m-a-p/OProver-8B (Apache-2.0). Training data derives from Mathlib at 360da6fa66c1273b76b6b2d8c5666fd5ac2e3b56 (Apache-2.0). See NOTICE.

Release Manifest

The content-addressed public/private boundary and immutable asset references are in release-manifest.json.

FluffyAIcode/Kakeya-OProver-Stage4-Repair-SFT

Kakeya OProver Stage 4 — Repair SFT

Summary