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ARXIV:2605.13171 · AI FOR MATHEMATICS · SUBMITTED 14 MAY · 20:10 UTC · FRESHNESS FRESH
ARXIV:2605.13171AI FOR MATHEMATICSSUBMITTED 14 MAY · 20:10 UTCFRESHNESS FRESHMoritz Firsching · Paul Lezeau · Salvatore Mercuri · Miklós Z. Horváth · Yaël Dillies · Calle Sönne · +5 at arXiv
An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries.
Opportunity summary
Pain An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries.
Evidence 0 refs | 0 sources | 0% coverage
Blocker Evidence unverified
An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries. To address this, we present Formal Conjectures, an evolving benchmark of…
As automated reasoning systems advance rapidly, there is a growing need for research-level formal mathematical problems to accurately evaluate their capabilities. To address this, we present Formal Conjectures, an evolving benchmark of currently 2615…
ScienceToStartup currently rates this 7.0/10 on the public viability pass. In this framework, AI-generated proofs and disproofs serve as a valuable auditing mechanism to iteratively improve the fidelity of the benchmark. A public repository…
AI for Mathematics moved forward this cycle; last verified May 2026. Public score 7.0/10. Implementation evidence is present through a linked repository.
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An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries.
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10.48550/arXiv.2605.13171An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries.
Abstract
As automated reasoning systems advance rapidly, there is a growing need for research-level formal mathematical problems to accurately evaluate their capabilities. To address this, we present Formal Conjectures, an evolving benchmark of currently 2615 mathematical problem statements formalized in Lean 4. Sourced from areas of active mathematical research, the dataset features 1029 open research conjectures providing a zero-contamination benchmark for mathematical proof discovery, and 836 solved problems for proof autoformalization. Notably, the repository provides a structured interface connecting mathematicians who formalize and clarify problems with the AI systems and humans attempting to solve them. Demonstrating its immediate utility, the benchmark has already been leveraged to make new mathematical discoveries, including the resolution of open research conjectures. We describe our approach to ensuring the correctness of these formalizations in a collaborative open-source project where contributions stem from an active community. In this framework, AI-generated proofs and disproofs serve as a valuable auditing mechanism to iteratively improve the fidelity of the benchmark. Finally, we provide a standardized evaluation setup and report baseline results on frozen evaluation subsets, demonstrating a climbable signal that measures the current frontier of automated reasoning on research-level mathematics.
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Proof status
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What was readable
Derived fallback: Estimated from adjacent evidence; not verified from source.
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Commercial
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Dimensions overall score 7.0
PROBLEM
An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries. To address this, we present Formal Conjectures, an evolving benchmark of currently 2615 mathematical problem...
METHOD
As automated reasoning systems advance rapidly, there is a growing need for research-level formal mathematical problems to accurately evaluate their capabilities. To address this, we present Formal Conjectures, an evolving benchmark of currently 2615 mathematical problem stateme...
RESULT
ScienceToStartup currently rates this 7.0/10 on the public viability pass. In this framework, AI-generated proofs and disproofs serve as a valuable auditing mechanism to iteratively improve the fidelity of the benchmark. A public repository is linked, so build verification can i...
WHY NOW
AI for Mathematics moved forward this cycle; last verified May 2026. Public score 7.0/10. Implementation evidence is present through a linked repository.
Abstract-backed public claims while anchored extraction refreshes.
An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries. To address this, we present Formal Conjectures, an evolving benchmark of currently 2615 mathematical problem statements formalized in Lean 4.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
As automated reasoning systems advance rapidly, there is a growing need for research-level formal mathematical problems to accurately evaluate their capabilities. To address this, we present Formal Conjectures, an evolving benchmark of currently 2615 mathematical problem statements formalized in Lean 4.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
ScienceToStartup currently rates this 7.0/10 on the public viability pass. In this framework, AI-generated proofs and disproofs serve as a valuable auditing mechanism to iteratively improve the fidelity of the benchmark. A public repository is linked, so build verification can inspect implementation evidence instead of treating the paper as PDF-only.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
AI for Mathematics moved forward this cycle; last verified May 2026. Public score 7.0/10. Implementation evidence is present through a linked repository.
Abstract-backed fallback claim; anchored extraction has not materialized a public claim row yet.
partial
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An open and evolving benchmark of formalized mathematical problems in Lean 4, enabling evaluation of automated reasoning systems and driving new mathematical discoveries.
Segment
AI for Mathematics
Adoption evidence
Public code linked for build inspection
Commercial read
7.0/10 public viability
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Build Passport
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status
missing
reason
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proof status
unverified
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No verified cost estimate
confidence low
next verification path
Build brief missing until Build Passport data exists.
Source missing: Build Passport payload.
Experiment plan missing until prototype path is available.
No prototype path attached.
Validation checklist missing until required assets, cost, and regulatory flags are verified.
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Evidence coverage
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fresh
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Build readiness
BuildPassport EvidenceState
passport absent
fresh
Run Proof Lab or inspect typed missing state. verified:false
Artifact maturity
GitHub and Hugging Face maturity payloads
No public artifact surface observed
fresh
Open source artifacts or mark the gap as missing. verified:false
Technical feasibility
partial
Current read
Runnable path is not fully verified.
Evidence
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Gaps
Next test
Run minimal reproduction from the Build Passport prototype path.
Market urgency
missing
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Buyer urgency is not verified from source.
Evidence
0 references, 0 sources, 0% evidence coverage.
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Buyer clarity
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Defensibility
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Defensibility signals are missing.
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Refresh defensibility bars with source receipts.
Integration burden
missing
Current read
No public implementation surface observed.
Evidence
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Write integration checklist from prototype path and target workflow.
Capital intensity
missing
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Regulatory load
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Classify regulatory flags before commercialization planning.
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Paper authors are not treated as operators without consent.
People
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Prototype owner missing.
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Regulatory need unclassified.
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ARTIFACTS
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DEFENSIBILITY
Defensibility and confidence evidence pending.
WATCHTOWER
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