From 8efa49b23ebc09181166152c4ef2db6a1f884fe5 Mon Sep 17 00:00:00 2001 From: ModelHub XC Date: Thu, 4 Jun 2026 18:18:13 +0800 Subject: [PATCH] =?UTF-8?q?=E5=88=9D=E5=A7=8B=E5=8C=96=E9=A1=B9=E7=9B=AE?= =?UTF-8?q?=EF=BC=8C=E7=94=B1ModelHub=20XC=E7=A4=BE=E5=8C=BA=E6=8F=90?= =?UTF-8?q?=E4=BE=9B=E6=A8=A1=E5=9E=8B?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Model: m-a-p/OProver-8B-Round2 Source: Original Platform --- .gitattributes | 63 +++++ README.md | 144 +++++++++++ added_tokens.json | 57 ++++ assets/main_results.png | Bin 0 -> 307841 bytes assets/oproofs.png | Bin 0 -> 255812 bytes config.json | 31 +++ configuration.json | 1 + data.pt | 3 + merges.txt | 3 + model-00001.safetensors | 3 + model-00002.safetensors | 3 + model-00003.safetensors | 3 + model-00004.safetensors | 3 + model.safetensors.index.json | 1 + special_tokens_map.json | 47 ++++ tokenizer.json | 3 + tokenizer_config.json | 488 +++++++++++++++++++++++++++++++++++ vocab.json | 3 + 18 files changed, 856 insertions(+) create mode 100644 .gitattributes create mode 100644 README.md create mode 100644 added_tokens.json create mode 100644 assets/main_results.png create mode 100644 assets/oproofs.png create mode 100644 config.json create mode 100644 configuration.json create mode 100644 data.pt create mode 100644 merges.txt create mode 100644 model-00001.safetensors create mode 100644 model-00002.safetensors create mode 100644 model-00003.safetensors create mode 100644 model-00004.safetensors create mode 100644 model.safetensors.index.json create mode 100644 special_tokens_map.json create mode 100644 tokenizer.json create mode 100644 tokenizer_config.json create mode 100644 vocab.json diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..6e9c86c --- /dev/null +++ b/.gitattributes @@ -0,0 +1,63 @@ +*.7z filter=lfs diff=lfs merge=lfs -text +*.arrow filter=lfs diff=lfs merge=lfs -text +*.bin filter=lfs diff=lfs merge=lfs -text +*.bin.* filter=lfs diff=lfs merge=lfs -text +*.bz2 filter=lfs diff=lfs merge=lfs -text +*.ftz filter=lfs diff=lfs merge=lfs -text +*.gz filter=lfs diff=lfs merge=lfs -text +*.h5 filter=lfs diff=lfs merge=lfs -text +*.joblib filter=lfs diff=lfs merge=lfs -text +*.lfs.* filter=lfs diff=lfs merge=lfs -text +*.model filter=lfs diff=lfs merge=lfs -text +*.msgpack filter=lfs diff=lfs merge=lfs -text +*.onnx filter=lfs diff=lfs merge=lfs -text +*.ot filter=lfs diff=lfs merge=lfs -text +*.parquet filter=lfs diff=lfs merge=lfs -text +*.pb filter=lfs diff=lfs merge=lfs -text + +*.pth filter=lfs diff=lfs merge=lfs -text +*.rar filter=lfs diff=lfs merge=lfs -text +saved_model/**/* filter=lfs diff=lfs merge=lfs -text +*.tar.* filter=lfs diff=lfs merge=lfs -text +*.tflite filter=lfs diff=lfs merge=lfs -text +*.tgz filter=lfs diff=lfs merge=lfs -text +*.xz filter=lfs diff=lfs merge=lfs -text +*.zip filter=lfs diff=lfs merge=lfs -text +*.zstandard filter=lfs diff=lfs merge=lfs -text +*.tfevents* filter=lfs diff=lfs merge=lfs -text +*.db* filter=lfs diff=lfs merge=lfs -text +*.ark* filter=lfs diff=lfs merge=lfs -text +**/*ckpt*data* filter=lfs diff=lfs merge=lfs -text +**/*ckpt*.meta filter=lfs diff=lfs merge=lfs -text +**/*ckpt*.index filter=lfs diff=lfs merge=lfs -text + +*.ckpt filter=lfs diff=lfs merge=lfs -text +*.gguf* filter=lfs diff=lfs merge=lfs -text +*.ggml filter=lfs diff=lfs merge=lfs -text +*.llamafile* filter=lfs diff=lfs merge=lfs -text +*.pt2 filter=lfs diff=lfs merge=lfs -text +*.mlmodel filter=lfs diff=lfs merge=lfs -text +*.npy filter=lfs diff=lfs merge=lfs -text +*.npz filter=lfs diff=lfs merge=lfs -text +*.pickle filter=lfs diff=lfs merge=lfs -text +*.pkl filter=lfs diff=lfs merge=lfs -text +*.tar filter=lfs diff=lfs merge=lfs -text +*.wasm filter=lfs diff=lfs merge=lfs -text +*.zst filter=lfs diff=lfs merge=lfs -text +*tfevents* filter=lfs diff=lfs merge=lfs -text + +data.pt filter=lfs diff=lfs merge=lfs -text + +merges.txt filter=lfs diff=lfs merge=lfs -text + +model-00001.safetensors filter=lfs diff=lfs merge=lfs -text + +model-00002.safetensors filter=lfs diff=lfs merge=lfs -text + +model-00003.safetensors filter=lfs diff=lfs merge=lfs -text + +model-00004.safetensors filter=lfs diff=lfs merge=lfs -text + +tokenizer.json filter=lfs diff=lfs merge=lfs -text + +vocab.json filter=lfs diff=lfs merge=lfs -text \ No newline at end of file diff --git a/README.md b/README.md new file mode 100644 index 0000000..aa49621 --- /dev/null +++ b/README.md @@ -0,0 +1,144 @@ +--- +license: apache-2.0 +language: + - en +library_name: transformers +pipeline_tag: text-generation +tags: + - lean4 + - theorem-proving + - formal-mathematics + - agentic + - retrieval-augmented +datasets: + - m-a-p/OProofs +--- + +# OProver + +> A unified framework for **agentic formal theorem proving** in Lean 4. + +- šŸ“„ Paper: [OProver: A Unified Framework for Agentic Formal Theorem Proving](https://huggingface.co/papers/2605.17283) ([arXiv](https://arxiv.org/abs/2605.17283)) +- šŸ“š Collection: [m-a-p/OProver](https://huggingface.co/collections/m-a-p/oprover) +- šŸ“¦ Dataset: [m-a-p/OProofs](https://huggingface.co/datasets/m-a-p/OProofs) + +OProver treats theorem proving as a multi-round refinement loop. Given a target +theorem, the prover retrieves top-k compiler-verified proofs from a memory of +prior proofs, generates a proof attempt, runs the Lean 4 compiler, and—on +failure—revises the attempt using the compiler feedback in the next round. +The same retrieval and feedback signals are baked into training, so the +training-time interface matches the proving-time interaction. + +## Highlights + +- **State-of-the-art among open-weight whole-proof provers.** OProver-32B + attains the best Pass@32 on MiniF2F (93.3), ProverBench (58.2), and + PutnamBench (11.3), and the second-best on MathOlympiad (22.8) and + ProofNet (33.2). Even OProver-8B beats Goedel-Prover-V2-32B on all five + benchmarks despite having 4Ɨ fewer parameters. +- **Agentic proving is in the policy, not bolted on.** Retrieval, multi-turn + compiler feedback, and iterative repair are all part of the trained policy. + Ablations show feedback is the dominant driver: removing it costs OProver-32B + 4.9–7.4 Pass@32 points across benchmarks; removing retrieval on top adds + 0.5–1.7 more. +- **Co-evolving prover and corpus.** Each post-training iteration runs agentic + rollouts; verified proofs are added to OProofs and re-indexed for retrieval, + repair trajectories become SFT data, and unresolved hard cases provide RL + signal. MiniF2F-Test Pass@32 grows monotonically: OProver-8B 79.5 → 86.2 → + 87.0 → 91.8 across rounds; OProver-32B 84.7 → 88.1 → 93.3. + +## What's in this release + +The OProver collection ([m-a-p/OProver](https://huggingface.co/collections/m-a-p/oprover)) bundles the paper, +the corpus, and seven model checkpoints covering both training stages and +both model sizes: + +| Repo | Stage | Size | Note | +|---|---|---|---| +| [OProver-8B-Base](https://huggingface.co/m-a-p/OProver-8B-Base) | Continued pretraining only | 8B | Domain-adapted base; before SFT/RL | +| [OProver-32B-Base](https://huggingface.co/m-a-p/OProver-32B-Base) | Continued pretraining only | 32B | Domain-adapted base; before SFT/RL | +| [OProver-8B-Round1](https://huggingface.co/m-a-p/OProver-8B-Round1) | Post-training Round 1 | 8B | After first SFT+RL iteration | +| [OProver-8B-Round2](https://huggingface.co/m-a-p/OProver-8B-Round2) | Post-training Round 2 | 8B | After second SFT+RL iteration | +| [OProver-32B-Round1](https://huggingface.co/m-a-p/OProver-32B-Round1) | Post-training Round 1 | 32B | After first SFT+RL iteration | +| **[OProver-8B](https://huggingface.co/m-a-p/OProver-8B)** | Final | 8B | The 8B prover reported in the paper (Round 3) | +| **[OProver-32B](https://huggingface.co/m-a-p/OProver-32B)** | Final | 32B | The 32B prover reported in the paper (Round 2) | +| [OProofs](https://huggingface.co/datasets/m-a-p/OProofs) | Dataset | 6.86M proofs | Lean 4 corpus used for CPT, SFT, and the retrieval memory | + +Use **OProver-8B** or **OProver-32B** for proving. The Base / Round-N +checkpoints are released for reproducibility and ablation studies. + +## Dataset: OProofs + +OProofs is a large-scale Lean 4 corpus that doubles as the retrieval memory at +proving time. It is built from three sources: public Lean resources +(NuminaMath-LEAN, Lean-Workbook, Leanabell-FormalStmt, Goedel-Pset, …), +large-scale autoformalization + agentic proof synthesis from informal math +mined on Common Crawl and GitHub, and traces from OProver's own agentic +proving runs. + +![OProofs Lean 4 corpus statistics](./assets/oproofs.png) + +## Training + +Two stages, both anchored on OProofs. + +**1. Continued pretraining (one-time).** A 65B-token mixture of formal +Lean (ā‰ˆ30%, from OProofs), code (ā‰ˆ20%, OpenCoder), mathematics (ā‰ˆ40%, +Nemotron-Math-4-Plus), and long-CoT (ā‰ˆ10%, ProLong-64K). AdamW, peak LR +5e-5, cosine with 3% warmup, batch 512, sequence length 8192. Output: +`OProver-{8B,32B}-Base`. + +**2. Iterative post-training.** Each round runs: + +1. Agentic proving with the current prover on a theorem pool, producing + multi-round rollouts conditioned on retrieved proofs and Lean feedback. +2. **SFT** on round-level repair examples `(s, R, p_{t-1}, f_{t-1}) → p_t`, + with cross-entropy loss only on the new attempt. +3. **GSPO RL** on hard cases (groups with non-trivial pass-rate). Per-round + reward `r = 0.8 + 0.2Ā·1[format ok]` if Lean-verified, else 0; advantages + are pooled across the nƗR rounds for the same theorem. +4. Newly verified proofs and repair trajectories are folded back into OProofs + and re-indexed into the retrieval memory for the next round. + +## Results + +Pass@32 (n=64) across five Lean 4 benchmarks. **Bold** is best, _underlined_ +is second-best. + +![Main results: Pass@32 across five Lean 4 benchmarks](./assets/main_results.png) + +OProver-32B reaches three best and two second-best across five benchmarks — +the most top placements of any model in the comparison, despite being a +32B dense model versus a 560B MoE or a 671B dense competitor. + +## Loading + +```python +from transformers import AutoModelForCausalLM, AutoTokenizer + +# Pick any of: OProver-8B, OProver-32B, *-Base, *-Round1, *-Round2 +name = "m-a-p/OProver-8B" +tok = AutoTokenizer.from_pretrained(name) +model = AutoModelForCausalLM.from_pretrained(name, torch_dtype="bfloat16", device_map="auto") +``` + +```python +from datasets import load_dataset +ds = load_dataset("m-a-p/OProofs", split="train") +``` + +OProver is trained against a multi-round agentic interface: at each round the +input includes the target Lean statement, top-k retrieved verified proofs, the +prior proof attempt, and the Lean compiler feedback. See the paper §2.1 for +the prompt template, and Appendix B for serialization details. + +## Citation + +```bibtex +@article{ma2026oprover, + title = {OProver: A Unified Framework for Agentic Formal Theorem Proving}, + author = {David Ma and Kaijing Ma and Shawn Guo and Yunfeng Shi and Enduo Zhao and Jiajun Shi and Zhaoxiang Zhang and Gavin Cheung and Jiaheng Liu and Zili Wang}, + journal = {arXiv preprint arXiv:2605.17283}, + year = {2026} +} +``` diff --git a/added_tokens.json b/added_tokens.json new file mode 100644 index 0000000..73bfeb6 --- /dev/null +++ b/added_tokens.json @@ -0,0 +1,57 @@ +{ + "": 151668, + "": 151658, + "": 151666, + "": 151682, + "": 151684, + "": 151683, + "": 151681, + "": 151679, + "": 151680, + "": 151690, + "": 151691, + "": 151689, + "": 151667, + "": 151657, + "": 151665, + "": 151688, + "": 151687, + "<|BOT|>": 151670, + "<|CALL_END|>": 151672, + "<|CALL_START|>": 151671, + "<|EOT|>": 151669, + "<|IMG_END|>": 151676, + "<|IMG_START|>": 151675, + 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"single_word": false + }, + "pad_token": { + "content": "<|endoftext|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false + } +} diff --git a/tokenizer.json b/tokenizer.json new file mode 100644 index 0000000..a8459e4 --- /dev/null +++ b/tokenizer.json @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:217e7242c0cafb50790f703bb14e062966b997a1bc8dc980e11240f5f1d06d27 +size 11428198 diff --git a/tokenizer_config.json b/tokenizer_config.json new file mode 100644 index 0000000..6cc9f25 --- /dev/null +++ b/tokenizer_config.json @@ -0,0 +1,488 @@ +{ + "add_bos_token": false, + "add_prefix_space": false, + "added_tokens_decoder": { + "151643": { + "content": "<|endoftext|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + }, + "151644": { + "content": "<|im_start|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + }, + 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"content": "<|begin▁of▁sentence|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + }, + "151693": { + "content": "<|begin▁of▁mask|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + }, + "151694": { + "content": "<|end▁of▁mask|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + }, + "151695": { + "content": "<|fim▁begin|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + }, + "151696": { + "content": "<|fim▁hole|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + }, + "151697": { + "content": "<|end▁of▁sentence|>", + "lstrip": false, + "normalized": false, + "rstrip": false, + "single_word": false, + "special": true + } + }, + "additional_special_tokens": [ + "<|EOT|>", + "<|BOT|>", + "<|CALL_START|>", + "<|CALL_END|>", + "<|THINK_START|>", + "<|THINK_END|>", + "<|IMG_START|>", + "<|IMG_END|>", + "<|META_START|>", + "<|META_END|>", + "", + "", + "", + "", + "", + "", + "<|MASK_1e69f|>", + "<|UNMASK_1e69f|>", + "", + "", + "", + "", + "", + "<|begin▁of▁sentence|>", + "<|begin▁of▁mask|>", + "<|end▁of▁mask|>", + "<|fim▁begin|>", + "<|fim▁hole|>", + "<|end▁of▁sentence|>" + ], + "bos_token": null, + "chat_template": "{%- if tools %}\n {{- '<|im_start|>system\\n' }}\n {%- if messages[0].role == 'system' %}\n {{- messages[0].content + '\\n\\n' }}\n {%- endif %}\n {{- \"# Tools\\n\\nYou may call one or more functions to assist with the user query.\\n\\nYou are provided with function signatures within XML tags:\\n\" }}\n {%- for tool in tools %}\n {{- \"\\n\" }}\n {{- tool | tojson }}\n {%- endfor %}\n {{- \"\\n\\n\\nFor each function call, return a json object with function name and arguments within XML tags:\\n\\n{\\\"name\\\": , \\\"arguments\\\": }\\n<|im_end|>\\n\" }}\n{%- else %}\n {%- if messages[0].role == 'system' %}\n {{- '<|im_start|>system\\n' + messages[0].content + '<|im_end|>\\n' }}\n {%- endif %}\n{%- endif %}\n{%- set ns = namespace(multi_step_tool=true, last_query_index=messages|length - 1) %}\n{%- for message in messages[::-1] %}\n {%- set index = (messages|length - 1) - loop.index0 %}\n {%- if ns.multi_step_tool and message.role == \"user\" and message.content is string and not(message.content.startswith('') and message.content.endswith('')) %}\n {%- set ns.multi_step_tool = false %}\n {%- set ns.last_query_index = index %}\n {%- endif %}\n{%- endfor %}\n{%- for message in messages %}\n {%- if message.content is string %}\n {%- set content = message.content %}\n {%- else %}\n {%- set content = '' %}\n {%- endif %}\n {%- if (message.role == \"user\") or (message.role == \"system\" and not loop.first) %}\n {{- '<|im_start|>' + message.role + '\\n' + content + '<|im_end|>' + '\\n' }}\n {%- elif message.role == \"assistant\" %}\n {%- set reasoning_content = '' %}\n {%- if message.reasoning_content is string %}\n {%- set reasoning_content = message.reasoning_content %}\n {%- else %}\n {%- if '' in content %}\n {%- set reasoning_content = content.split('')[0].rstrip('\\n').split('')[-1].lstrip('\\n') %}\n {%- set content = content.split('')[-1].lstrip('\\n') %}\n {%- endif %}\n {%- endif %}\n {%- if loop.index0 > ns.last_query_index %}\n {%- if loop.last or (not loop.last and reasoning_content) %}\n {{- '<|im_start|>' + message.role + '\\n\\n' + reasoning_content.strip('\\n') + '\\n\\n\\n' + content.lstrip('\\n') }}\n {%- else %}\n {{- '<|im_start|>' + message.role + '\\n' + content }}\n {%- endif %}\n {%- else %}\n {{- '<|im_start|>' + message.role + '\\n' + content }}\n {%- endif %}\n {%- if message.tool_calls %}\n {%- for tool_call in message.tool_calls %}\n {%- if (loop.first and content) or (not loop.first) %}\n {{- '\\n' }}\n {%- endif %}\n {%- if tool_call.function %}\n {%- set tool_call = tool_call.function %}\n {%- endif %}\n {{- '\\n{\"name\": \"' }}\n {{- tool_call.name }}\n {{- '\", \"arguments\": ' }}\n {%- if tool_call.arguments is string %}\n {{- tool_call.arguments }}\n {%- else %}\n {{- tool_call.arguments | tojson }}\n {%- endif %}\n {{- '}\\n' }}\n {%- endfor %}\n {%- endif %}\n {{- '<|im_end|>\\n' }}\n {%- elif message.role == \"tool\" %}\n {%- if loop.first or (messages[loop.index0 - 1].role != \"tool\") %}\n {{- '<|im_start|>user' }}\n {%- endif %}\n {{- '\\n\\n' }}\n {{- content }}\n {{- '\\n' }}\n {%- if loop.last or (messages[loop.index0 + 1].role != \"tool\") %}\n {{- '<|im_end|>\\n' }}\n {%- endif %}\n {%- endif %}\n{%- endfor %}\n{%- if add_generation_prompt %}\n {{- '<|im_start|>assistant\\n' }}\n {%- if enable_thinking is defined and enable_thinking is false %}\n {{- '\\n\\n\\n\\n' }}\n {%- endif %}\n{%- endif %}", + "clean_up_tokenization_spaces": false, + "eos_token": "<|im_end|>", + "errors": "replace", + "extra_special_tokens": {}, + "model_max_length": 131072, + "pad_token": "<|endoftext|>", + "split_special_tokens": false, + "tokenizer_class": "Qwen2Tokenizer", + "unk_token": null +} diff --git a/vocab.json b/vocab.json new file mode 100644 index 0000000..6c49fc6 --- /dev/null +++ b/vocab.json @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:ca10d7e9fb3ed18575dd1e277a2579c16d108e32f27439684afa0e10b1440910 +size 2776833