TLDR: ByteDance has unveiled Seed-Prover, an advanced AI-powered formal reasoning system designed for automated mathematical theorem proving. The system demonstrated exceptional performance in the recent International Mathematical Olympiad (IMO 2025), successfully solving multiple complex problems and showcasing the potential of AI in tackling intricate mathematical challenges.
ByteDance’s Seed AI team has introduced Seed-Prover, a groundbreaking automated theorem proving system that leverages deep learning and extensive reasoning technologies. This innovative system recently made headlines for its outstanding performance in the International Mathematical Olympiad (IMO 2025), where it successfully solved four problems during the competition and provided a complete proof for a fifth problem post-competition. This achievement marks a significant leap forward in the field of mathematical proofs and highlights the growing capabilities of artificial intelligence in complex problem-solving.
Seed-Prover is not merely a chatbot attempting to solve math problems; it operates within the rigorous domain of formal mathematics, utilizing Lean 4 for verified proofs. The system is designed to generate formal proofs in Lean, rather than casual explanations, ensuring every logical step is provable and verifiable by the Lean compiler. This approach distinguishes it from many other AI models that might offer solutions without the same level of formal verification.
The system comprises two key components: Seed-Prover, which handles general mathematical proofs in formal Lean syntax, and Seed-Geometry, a specialized engine for formal geometry, addressing the lack of geometry support in Lean. Seed-Prover employs a “lemma-first” strategy, generating intermediate steps and reusable modules (lemmas) that can be stored and reused across different proof attempts. This modular approach enhances efficiency and allows for iterative refinement of proofs.
During the IMO 2025, Seed-Prover showcased its diverse capabilities:
Problem 1 (Combinatorics): Although not solved during the competition, Seed-Prover provided a complete proof afterward.
Problem 2 (Geometry): The system generated and verified the answer in just 2 seconds, demonstrating remarkable speed.
Problem 3 (Number Theory): This problem was solved in 3 days, producing a rigorous 2000-line proof.
Problem 4 (Number Theory): Similarly, it was completed in 3 days with a detailed 4000-line proof.
Problem 5 (Combinatorics / Algebra): Solved in just one day, with a proof method that differed from existing human solutions, showcasing its innovative reasoning.
Beyond the IMO, Seed-Prover has demonstrated impressive results on other benchmarks, proving 78.1% of formalized past IMO problems, saturating MiniF2F, and achieving over 50% on PutnamBench, significantly outperforming previous state-of-the-art systems. The system also features an iterative proof refinement process, where it runs generated Lean proofs through the Lean compiler, and if a failure occurs, it re-summarizes the issue, updates its internal state, and attempts to refine the proof multiple times.
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While Seed-Prover has achieved remarkable results, ByteDance has not yet released the model weights. Users can currently access project materials and related papers, with plans to release more information in the future to allow the academic community and developers to further understand and apply the system. This advancement by the ByteDance Seed team not only revitalizes the field of automated theorem proving but also provides powerful new tools for mathematical research, promising further applications and developments in the future.
