Star Fleet is an AI system that solves the world's hardest open mathematics problems using Lean 4. It's a Mac desktop app that controls up to 20 custom agentic harnesses called “starships” in parallel, each running its own GPT-5.6 instance on a dedicated 60-vCPU server and working on a separate math problem. Everything is built from scratch in TypeScript & Bun.

Each starship has access to:

• x86-64 CPU bursts of up to 2,000 vCPUs for search programs that shard into thousands of independent single-core jobs
• H100 GPU bursts for massively parallel search programs
• The world's largest corpus, afaik, of Lean 4 premises (theorems & lemmas), searchable in plain English via gemini-embeddings-2 & chroma vector db
• A Firecrawl.dev index of arXiv.org research papers & GitHub repos
• Claude Fable API wrapped in a proof-verifier agentic harness to review submitted answers + an iMessage API to ask Colin (the human) for an additional review after Fable's approval
• Ton 618, a local long-term memory system where every verified Lean 4 premise (theorem or lemma) is woven into a dependency graph, so proofs compound
• A dedicated 60-vCPU, 120 GiB memory sandbox preinstalled with SAT/SMT solvers (CaDiCaL, kissat, Z3), Google's CP-SAT, computer algebra systems (SageMath, PARI/GP, GAP, Macaulay2), and the full Rust, CUDA C++, and Lean 4 toolchains

Proposed Solutions (19)

Many problems listed as “open” carry informal or partial answers already available online; we tried extremely hard to avoid working on any such problems (but most likely failed in certain cases). If there are attribution mistakes, please let us know.