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This is the final Self-play Theorem Prover model as described in the paper https://arxiv.org/abs/2502.00212. The training and evalution code is avaliable here.

@article{dong2025beyond,
  title={Beyond Limited Data: Self-play LLM Theorem Provers with Iterative Conjecturing and Proving},
  author={Dong, Kefan and Ma, Tengyu},
  journal={arXiv preprint arXiv:2502.00212},
  year={2025}
}

1. Evaluation Results

The table below compares the pass@3200 performance of STP (our model) and DeepSeek-Prover-V1.5 on miniF2F-test and ProofNet-test.

miniF2F-test ProofNet-test
DeepSeek-Prover-V1.5-SFT 53.3% ± 0.5% 21.0% ± 0.9%
DeepSeek-Prover-V1.5-RL 54.9% ± 0.7% 22.0% ± 0.5%
STP 61.7% ± 0.6% 23.1% ± 0.5%

2. Dataset

We also release the dataset here, which contains:

  • Extracted examples from mathlib4,
  • Generated correct proofs of statements in LeanWorkbook,
  • Generated correct proofs of conjectures proposed by our model during self-play training.

Our final model is finetuned from DeepSeek-Prover-V1.5-SFT with this dataset for 1 epoch.

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