Rabdos AI

Rabdos Lean Bench

Frontier models formalize graduate-level math theorems in Lean, and a semantic, rubric-based checker judges whether the proof actually holds.

Leaderboard

40 problems · Updated Jul 31, 2026

Leaderboard, ranked by average score.
RankProviderModelReasoning effortGraded scoreStrict correct
1AnthropicClaude Fable 5max48.9%3/40 (7.5%)
2OpenAIGPT-5.6 Solmax43.6%2/40 (5.0%)
3AnthropicClaude Opus 4.8max36.6%1/40 (2.5%)
4Moonshot AIKimi K3max34.6%1/40 (2.5%)
5xAIGrok 4.5xhigh25.8%1/40 (2.5%)
6GoogleGemini 3.6 Flashhigh22.7%1/40 (2.5%)
7MetaMuse Spark 1.1xhigh17.8%1/40 (2.5%)
8Z.aiGLM 5.2xhigh14.6%0/40 (0.0%)
9DeepSeekDeepSeek V4 Proxhigh9.4%1/40 (2.5%)
10NVIDIANemotron 3 Ultrahigh1.2%0/40 (0.0%)

Sample theorems to formalize

Weyl character triangularity

Representation theory

For any λX(T)+\lambda \in X(T)_+,

chL(λ)=e(λ)+μ<λdimL(λ)μe(μ).\operatorname{ch} L(\lambda)=e(\lambda)+\sum_{\mu<\lambda}\dim L(\lambda)_\mu\,e(\mu).

Distributional gradients and Hölder regularity

Analysis

Let uD(Rn)u\in\mathcal{D}'(\mathbb{R}^n) and assume that juLp(Rn)\partial_j u\in L^p(\mathbb{R}^n), j=1,,nj=1,\ldots,n, where p>np>n. Then uu is a continuous function and, with γ=1n/p\gamma=1-n/p,

supxyu(x)u(y)xyγCjjup.\sup_{x\ne y}\frac{|u(x)-u(y)|}{|x-y|^\gamma}\le C\sum_j\|\partial_j u\|_p.

Separation by local sampling

Graph theory

Two graph properties P1,P2G\mathcal{P}_1,\mathcal{P}_2\subseteq\mathcal{G} are distinguishable by sampling if and only if δG(P1,P2)>0\delta_{\mathcal{G}}(\mathcal{P}_1,\mathcal{P}_2)>0.

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