ProofNet
Provers write formal proofs for 371 undergraduate theorems from analysis, algebra and topology textbooks, each with a formal statement and a natural-language proof. The proof checker grades them.
Originally in Lean 3. Prover reports such as DeepSeek-Prover-V2 use the test split, usually a Lean 4 port. Also used for autoformalization.
- Made by
- Azerbayev, Piotrowski, Schoelkopf, Ayers, Radev and Avigad
- Released
- February 2023
- Kind
- Formal proofs
- Level
- University
- Scored
- Checked automatically
- Answers
- Written proof
- Tasks
- All public
- Last in a system card
- April 2025
- Last model added
- April 2025
In the authors’ words
We introduce ProofNet, a benchmark for autoformalization and formal proving of undergraduate-level mathematics. The ProofNet benchmarks consists of 371 examples, each consisting of a formal theorem statement in Lean 3, a natural language theorem statement, and a natural language proof. The problems are primarily drawn from popular undergraduate pure mathematics textbooks and cover topics such as real and complex analysis, linear algebra, abstract algebra, and topology. We intend for ProofNet to be a challenging benchmark that will drive progress in autoformalization and automatic theorem proving. We report baseline results on statement autoformalization via in-context learning. Moreover, we introduce two novel statement autoformalization methods: prompt retrieval and distilled backtranslation.
DeepSeek-Prover-V2-671B leads with 37.1%
Best score per model as labs report them in their own cards. Labs pick their own settings, so these compare less cleanly than independent runs.
Source: Labs’ model cards
| # | Model | Score | Setting | Date | Source |
|---|---|---|---|---|---|
| 1 | | 37.1% | Apr 2025 | Lab model card |
Scores over time
All the scores we have, one dot each, so a model tested at several settings appears more than once.
Source: Labs’ model cards
Labs report it only in system cards
We read the headline results of 522 launch posts from 52 labs, and none of them list this benchmark. Some system cards do, below.
One system card reports it
Besides launch posts, we read the system cards, model cards and technical reports labs publish with a release. They report far more, including safety and frontier-risk tests.
| Date | Document | Score | As the document writes it | Section |
|---|---|---|---|---|
| Apr 30, 2025 | | 37.1 | ProofNet-test, CoT, sample budget 1024 (Table 4). Budget 32 30.5 | Capabilities |
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