Automated Theorem Proving

The goal of Automated Theorem Proving is to automatically generate a proof, given a conjecture (the target theorem) and a knowledge base of known facts, all expressed in a formal language. Automated Theorem Proving is useful in a wide range of applications, including the verification and synthesis of software and hardware systems.

Source: Learning to Prove Theorems by Learning to Generate Theorems

Papers

Recently Added Most Hyped Most Active Needs Verification Most Verified

Showing 51–60 of 288 papers

Title	Date	Tasks	Status	Hype
An Ensemble Approach for Automated Theorem Proving Based on Efficient Name Invariant Graph Neural Representations	May 15, 2023	Automated Theorem ProvingTransfer Learning	CodeCode Available	1
MUSTARD: Mastering Uniform Synthesis of Theorem and Proof Data	Feb 14, 2024	Automated Theorem ProvingLanguage Modelling	CodeCode Available	1
NaturalProver: Grounded Mathematical Proof Generation with Language Models	May 25, 2022	Automated Theorem ProvingLanguage Modeling	CodeCode Available	1
Decomposing the Enigma: Subgoal-based Demonstration Learning for Formal Theorem Proving	May 25, 2023	Automated Theorem Proving	CodeCode Available	1
FIMO: A Challenge Formal Dataset for Automated Theorem Proving	Sep 8, 2023	Automated Theorem Proving	CodeCode Available	1
Don't Trust: Verify -- Grounding LLM Quantitative Reasoning with Autoformalization	Mar 26, 2024	Automated Theorem ProvingGSM8K	CodeCode Available	1
Peano: Learning Formal Mathematical Reasoning	Nov 29, 2022	Automated Theorem ProvingMathematical Reasoning	CodeCode Available	1
Prolog Technology Reinforcement Learning Prover	Apr 15, 2020	Automated Theorem Provingreinforcement-learning	CodeCode Available	1
An energy-based model for neuro-symbolic reasoning on knowledge graphs	Oct 4, 2021	Automated Theorem ProvingGraph Embedding	CodeCode Available	1
DeepTheorem: Advancing LLM Reasoning for Theorem Proving Through Natural Language and Reinforcement Learning	May 29, 2025	Automated Theorem ProvingMathematical Reasoning	CodeCode Available	1

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All datasets miniF2F-test miniF2F-valid HolStep (Conditional)HOList benchmark HolStep (Unconditional)Metamath set.mm miniF2F-curriculum CompCert CoqGym

Benchmark Results

#	Model	Metric	Claimed	Verified	Status
1	Kimina-Prover-Preview	cumulative	80.74	—	Unverified
2	ProofAug	cumulative	66	—	Unverified
3	DeepSeek-Prover-V1.5	cumulative	63.5	—	Unverified
4	Subgoal-XL	cumulative	56.1	—	Unverified
5	DeepSeek-Prover	cumulative	52	—	Unverified
6	Lyra + GPT-4	cumulative	47.1	—	Unverified
7	LEGO-Prover ChatGPT	cumulative	47.1	—	Unverified
8	Decomposing the Enigma	cumulative	45.5	—	Unverified
9	Evariste	cumulative	41	—	Unverified
10	Evariste-7d	cumulative	40.6	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	Evariste	Pass@64	58.6	—	Unverified
2	LEGO-Prover ChatGPT	Pass@100	57	—	Unverified
3	Lyra + GPT-4	Pass@100	52	—	Unverified
4	Evariste-7d	Pass@64	47.5	—	Unverified
5	GPT-f	Pass@64	47.3	—	Unverified
6	Evariste-1d	Pass@64	46.7	—	Unverified
7	DSP (62B Minerva informal)	Pass@100	43.9	—	Unverified
8	Lean GPT-f	Pass@8	29.3	—	Unverified
9	Lean tidy	Pass@1	16.8	—	Unverified
10	Metamath GPT-f	Pass@8	2	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	MPNN-DagLSTM	Classification Accuracy	0.92	—	Unverified
2	FormulaNet	Classification Accuracy	0.9	—	Unverified
3	FormulaNet-basic	Classification Accuracy	0.89	—	Unverified
4	Siamese 1D CNN-LSTM	Classification Accuracy	0.83	—	Unverified
5	Siamese 1D CNN	Classification Accuracy	0.82	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	4-hop GNN, sub-expression sharing	Percentage correct	49.95	—	Unverified
2	Tactic Dependent Loop	Percentage correct	38.88	—	Unverified
3	BoW2 (extra -ves)	Percentage correct	36.55	—	Unverified
4	Deeper Wider WaveNet	Percentage correct	32.65	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	FormulaNet	Classification Accuracy	0.9	—	Unverified
2	FormulaNet-basic	Classification Accuracy	0.89	—	Unverified
3	1D CNN	Classification Accuracy	0.83	—	Unverified
4	1D CNN-LSTM	Classification Accuracy	0.83	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	Evariste	Pass@32	72.4	—	Unverified
2	GPT-f	Percentage correct	56.2	—	Unverified
3	MetaGen-IL + Holophrasm	Percentage correct	22.1	—	Unverified
4	Holophrasm	Percentage correct	14.3	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	Evariste-7d	Pass@64	42.5	—	Unverified
2	Evariste-1d	Pass@64	33.6	—	Unverified
3	Evariste	Pass@64	32.1	—	Unverified
4	GPT-f	Pass@64	30.6	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	Proverbot9001	Percentage correct	19.36	—	Unverified
2	CoqGym/ASTactic	Percentage correct	4.99	—	Unverified

#	Model	Metric	Claimed	Verified	Status
1	ASTactic	Percentage correct	12.2	—	Unverified