Weyl character triangularity
Representation theory
For any ,
Frontier models formalize graduate-level math theorems in Lean, and a semantic, rubric-based checker judges whether the proof actually holds.
40 problems · Updated Jul 31, 2026
| Rank | Provider | Model | Reasoning effort | Graded score | Strict correct |
|---|---|---|---|---|---|
| 1 | Anthropic | Claude Fable 5 | max | 48.9% | 3/40 (7.5%) |
| 2 | OpenAI | GPT-5.6 Sol | max | 43.6% | 2/40 (5.0%) |
| 3 | Anthropic | Claude Opus 4.8 | max | 36.6% | 1/40 (2.5%) |
| 4 | Moonshot AI | Kimi K3 | max | 34.6% | 1/40 (2.5%) |
| 5 | xAI | Grok 4.5 | xhigh | 25.8% | 1/40 (2.5%) |
| 6 | Gemini 3.6 Flash | high | 22.7% | 1/40 (2.5%) | |
| 7 | Meta | Muse Spark 1.1 | xhigh | 17.8% | 1/40 (2.5%) |
| 8 | Z.ai | GLM 5.2 | xhigh | 14.6% | 0/40 (0.0%) |
| 9 | DeepSeek | DeepSeek V4 Pro | xhigh | 9.4% | 1/40 (2.5%) |
| 10 | NVIDIA | Nemotron 3 Ultra | high | 1.2% | 0/40 (0.0%) |
Right column: strict correct (of 40)
Sample theorems to formalize
Representation theory
For any ,
Analysis
Let and assume that , , where . Then is a continuous function and, with ,
Graph theory
Two graph properties are distinguishable by sampling if and only if .
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