| --- |
| license: apache-2.0 |
| language: |
| - en |
| tags: |
| - lean |
| - lean4 |
| - theorem-proving |
| - mathlib |
| configs: |
| - config_name: sft-90 |
| data_files: |
| - split: train |
| path: sft-90/train.jsonl |
| - split: validation |
| path: sft-90/validation.jsonl |
| - split: holdout |
| path: sft-90/holdout.jsonl |
| - config_name: sft-1000 |
| data_files: |
| - split: train |
| path: sft-1000/train.jsonl |
| - split: validation |
| path: sft-1000/validation.jsonl |
| - split: holdout |
| path: sft-1000/holdout.jsonl |
| - config_name: dpo-2000 |
| data_files: |
| - split: train |
| path: dpo-2000/train.jsonl |
| - split: validation |
| path: dpo-2000/validation.jsonl |
| - split: holdout |
| path: dpo-2000/holdout.jsonl |
| - config_name: repair-2800 |
| data_files: |
| - split: train |
| path: repair-2800/train.jsonl |
| - split: validation |
| path: repair-2800/validation.jsonl |
| - config_name: strict-evaluation-22 |
| data_files: |
| - split: test |
| path: strict-evaluation-22/test.jsonl |
| --- |
| |
| # Kakeya OProver Training |
|
|
| Apache-2.0 training and evaluation assets for the four-stage Kakeya OProver LoRA journey. |
|
|
| ## Configs and split counts |
|
|
| - `sft-90`: 63 train / 9 validation / 18 holdout |
| - `sft-1000`: 700 train / 100 validation / 200 holdout |
| - `dpo-2000`: 1,400 train / 200 validation / 400 holdout preference pairs |
| - `repair-2800`: 2,800 train / 400 validation (train: 2,100 repair + 700 rehearsal; validation: 300 + 100) |
| - `strict-evaluation-22`: 22 public-safe task identifiers and split metadata only (18 holdout + 4 canary); aggregate outcomes are in `strict-evaluation-22/results.json` |
|
|
| ## Schema |
|
|
| SFT records include the exact public Lean context, target, and verified proof body. DPO records include `prompt`, `chosen`, `rejected`, rejection metadata, and source bindings. Repair records include the public context, failed proof, structured compiler diagnostic, and corrected proof. Strict evaluation records intentionally omit prompts and candidate proof bodies. |
|
|
| ## Provenance and compile validation |
|
|
| All proof-bearing samples are pure Mathlib material or derived negatives/repairs bound to Mathlib revision `360da6fa66c1273b76b6b2d8c5666fd5ac2e3b56` and Lean `v4.32.0-rc1`. Source manifests report compile validation and zero cross-split family overlap where applicable. Provenance-incomplete OProofs mixed samples were excluded. |
|
|
| ## Leakage and release policy |
|
|
| Holdout splits were excluded from training. The strict 22-task release contains metadata and aggregates only. No production Jensen prompt, raw candidate proof body, private chain-of-thought, credential, or local path is included. |
|
|
| ## License and attribution |
|
|
| Apache-2.0. Mathlib copyright and author notices remain embedded in source contexts. See `LICENSE` and `NOTICE`. |
|
|
| ## Release Manifest |
|
|
| The content-addressed public/private boundary and immutable asset references are in [`release-manifest.json`](./blob/main/release-manifest.json). |
|
|
