ProofBench v1.1
Models write Lean 4 proofs of graduate-level theorems from paired natural-language and formal statements. Scored by the share the Lean checker accepts.
Vals says scores are not comparable with earlier revisions. Four systems tied at 100% on October 29th, 2026 among 54, so it is saturated.
- Made by
- Vals AI
- Released
- August 2026
- Kind
- Formal proofs
- Level
- Expert
- Scored
- Checked automatically
- Answers
- Written proof
- Tasks
- Public, plus a private test set
- Strongest model tested
- Claude Fable 5.2 #1 on the capability index
- Last model added
- November 2026
- Scores refreshed
- November 12th, 2026
4 models share the top score of 100%
Best score per entry from the benchmark's own leaderboard, read on November 12th, 2026. Where a model ran with several settings or harnesses, we keep its best. Every run is in the next chart. Names in gray aren't in our model list: fine-tunes, agent systems, products and older models. They don't count toward leaders.
- 100.0 AlephProver
- 100.0 Claude Fable 5.1
- 100.0 Claude Opus 5.5
- 100.0 Claude Sonnet 5.5
- 100.0 Claude Fable 5.2
- 99.0 Claude Opus 5
- 99.0 GPT-6 Astra
- 99.0 GPT-6.1 Sol
- 99.0
Gemini 4 Argon
- 95.0 Claude Fable 5
- 94.0
Muse Wonder Full
- 91.0 Kimi K3.1 Pro
- 89.0 Claude Haiku 5.5
- 87.0 Kimi K3
- 86.0 Aristotle
- 84.0
Muse Wonder
- 83.0 GPT-5.6 Sol
- 83.0 GPT-6 Sol
- 77.0 Claude Sonnet 5
- 75.0
Tencent Hy4 preview
- 74.0 GPT-5.6 Terra
- 70.0 MiMo-V2.6 Pro
- 64.0 GPT-6 Luna
- 63.0 MiMo-V2.6 Flash
- 61.0
Ember-1
- 60.0 GPT-5.6 Luna
- 58.0
Qwen 3.8 Max
- 58.0
Gemini 3.7 Flash
- 58.0
Muse Spark 1.3
- 56.0
DeepSeek V4 Flash 0731
- 54.0
DeepSeek V4.1 Flash
- 51.0 Grok 4.6
- 50.0
DeepSeek V4 Pro 0813
- 49.0 GLM-5.3
- 48.0
Gemini 3.8 Flash
- 43.0
Muse Spark 1.2
- 42.0
Step 5 Preview
- 31.0
Gemini 3.5 Flash
- 31.0 Grok 4.5
- 26.0
Gemini 3.1 Pro
- 26.0 Grok 4.7
- 22.0 MiMo-V2.5-Pro
- 21.0 GLM-5.3-Flash
- 18.0
MiniMax-M3
- 18.0 Beam 1.0
- 16.0 MiMo-V2.5
- 16.0
DeepSeek-V4-Pro
- 16.0
Qwen 3.8 27B
- 10.0
Mistral Large 4 Preview
- 9.00
Mistral Medium 3.5
- 6.00
Inkling-Small
- 3.00 Mercury 2.5
- 0.0
Inkling
- 0.0
Nemotron 3.5 Lightning 30B-A3B
- 1 AlephProver 100%
- 2 Claude Fable 5.1 100%
- 3 Claude Opus 5.5 100%
- 4 Claude Sonnet 5.5 100%
- 5 Claude Fable 5.2 100%
- 6 Claude Opus 5 99%
- 7 GPT-6 Astra 99%
- 8 GPT-6.1 Sol 99%
- 9
Gemini 4 Argon 99%
- 10 Claude Fable 5 95%
- 11
Muse Wonder Full 94%
- 12 Kimi K3.1 Pro 91%
- 13 Claude Haiku 5.5 89%
- 14 Kimi K3 87%
- 15 Aristotle 86%
- 16
Muse Wonder 84%
- 17 GPT-5.6 Sol 83%
- 18 GPT-6 Sol 83%
- 19 Claude Sonnet 5 77%
- 20
Tencent Hy4 preview 75%
- 21 GPT-5.6 Terra 74%
- 22 MiMo-V2.6 Pro 70%
- 23 GPT-6 Luna 64%
- 24 MiMo-V2.6 Flash 63%
- 25
Ember-1 61%
- 26 GPT-5.6 Luna 60%
- 27
Qwen 3.8 Max 58%
- 28
Gemini 3.7 Flash 58%
- 29
Muse Spark 1.3 max 58%
- 30
DeepSeek V4 Flash 0731 56%
- 31
DeepSeek V4.1 Flash 54%
- 32 Grok 4.6 51%
- 33
DeepSeek V4 Pro 0813 50%
- 34 GLM-5.3 49%
- 35
Gemini 3.8 Flash 48%
- 36
Muse Spark 1.2 43%
- 37
Step 5 Preview 42%
- 38
Gemini 3.5 Flash 31%
- 39 Grok 4.5 31%
- 40
Gemini 3.1 Pro 26%
- 41 Grok 4.7 26%
- 42 MiMo-V2.5-Pro 22%
- 43 GLM-5.3-Flash 21%
- 44
MiniMax-M3 18%
- 45 Beam 1.0 18%
- 46 MiMo-V2.5 16%
- 47
DeepSeek-V4-Pro 16%
- 48
Qwen 3.8 27B 16%
- 49
Mistral Large 4 Preview 10%
- 50
Mistral Medium 3.5 9.00%
- 51
Inkling-Small 6.00%
- 52 Mercury 2.5 3.00%
- 53
Inkling 0%
- 54
Nemotron 3.5 Lightning 30B-A3B 0%
Source: Official ProofBench v1.1 leaderboard
| # | Entry | Score | Setting | Date | Source |
|---|---|---|---|---|---|
| 1 | AlephProver | 100% | Official leaderboard | ||
| 2 | Claude Fable 5.1 | 100% | Sep 2026 | Official leaderboard | |
| 3 | Claude Opus 5.5 | 100% | Sep 2026 | Official leaderboard | |
| 4 | Claude Sonnet 5.5 | 100% | Sep 2026 | Official leaderboard | |
| 5 | Claude Fable 5.2 | 100% | Nov 2026 | Official leaderboard | |
| 6 | Claude Opus 5 | 99% | Jul 2026 | Official leaderboard | |
| 7 | GPT-6 Astra | 99% | Sep 2026 | Official leaderboard | |
| 8 | GPT-6.1 Sol | 99% | Sep 2026 | Official leaderboard | |
| 9 | | 99% | Sep 2026 | Official leaderboard | |
| 10 | Claude Fable 5 | 95% | Jun 2026 | Official leaderboard | |
| 11 | | 94% | Oct 2026 | Official leaderboard | |
| 12 | Kimi K3.1 Pro | 91% | Oct 2026 | Official leaderboard | |
| 13 | Claude Haiku 5.5 | 89% | Oct 2026 | Official leaderboard | |
| 14 | Kimi K3 | 87% | Jul 2026 | Official leaderboard | |
| 15 | Aristotle | 86% | Official leaderboard | ||
| 16 | | 84% | Oct 2026 | Official leaderboard | |
| 17 | GPT-5.6 Sol | 83% | Jul 2026 | Official leaderboard | |
| 18 | GPT-6 Sol | 83% | Sep 2026 | Official leaderboard | |
| 19 | Claude Sonnet 5 | 77% | Jun 2026 | Official leaderboard | |
| 20 | | 75% | Aug 2026 | Official leaderboard | |
| 21 | GPT-5.6 Terra | 74% | Jul 2026 | Official leaderboard | |
| 22 | MiMo-V2.6 Pro | 70% | Sep 2026 | Official leaderboard | |
| 23 | GPT-6 Luna | 64% | Sep 2026 | Official leaderboard | |
| 24 | MiMo-V2.6 Flash | 63% | Sep 2026 | Official leaderboard | |
| 25 | | 61% | Sep 2026 | Official leaderboard | |
| 26 | GPT-5.6 Luna | 60% | Jul 2026 | Official leaderboard | |
| 27 | | 58% | Aug 2026 | Official leaderboard | |
| 28 | | 58% | Aug 2026 | Official leaderboard | |
| 29 | | 58% | max | Sep 2026 | Official leaderboard |
| 30 | | 56% | Jul 2026 | Official leaderboard | |
| 31 | | 54% | Sep 2026 | Official leaderboard | |
| 32 | Grok 4.6 | 51% | Aug 2026 | Official leaderboard | |
| 33 | | 50% | Aug 2026 | Official leaderboard | |
| 34 | GLM-5.3 | 49% | Aug 2026 | Official leaderboard | |
| 35 | | 48% | Sep 2026 | Official leaderboard | |
| 36 | | 43% | Aug 2026 | Official leaderboard | |
| 37 | | 42% | Sep 2026 | Official leaderboard | |
| 38 | | 31% | May 2026 | Official leaderboard | |
| 39 | Grok 4.5 | 31% | Jul 2026 | Official leaderboard | |
| 40 | | 26% | Feb 2026 | Official leaderboard | |
| 41 | Grok 4.7 | 26% | Sep 2026 | Official leaderboard | |
| 42 | MiMo-V2.5-Pro | 22% | Apr 2026 | Official leaderboard | |
| 43 | GLM-5.3-Flash | 21% | Aug 2026 | Official leaderboard | |
| 44 | | 18% | Jun 2026 | Official leaderboard | |
| 45 | Beam 1.0 | 18% | Oct 2026 | Official leaderboard | |
| 46 | MiMo-V2.5 | 16% | Apr 2026 | Official leaderboard | |
| 47 | | 16% | Apr 2026 | Official leaderboard | |
| 48 | | 16% | Aug 2026 | Official leaderboard | |
| 49 | | 10% | Oct 2026 | Official leaderboard | |
| 50 | | 9.00% | Apr 2026 | Official leaderboard | |
| 51 | | 6.00% | Jul 2026 | Official leaderboard | |
| 52 | Mercury 2.5 | 3.00% | Sep 2026 | Official leaderboard | |
| 53 | | 0% | Jul 2026 | Official leaderboard | |
| 54 | | 0% | Aug 2026 | Official leaderboard |
Accuracy against latency
The Vals scatter chart with its x axis switched from Cost to Latency: mean time per test against accuracy, on a log scale. The line joins the runs that no other run beats on both measures. We redrew this chart from the numbers on the official leaderboard.
| Model | Setting | Accuracy | Latency (mean per test) |
|---|---|---|---|
| Claude Fable 5.2 | 100% | 170.86 s | |
| Claude Sonnet 5.5 | 100% | 347.58 s | |
| Claude Opus 5.5 | 100% | 351.04 s | |
| Claude Fable 5.1 | 100% | 478.3 s | |
| AlephProver | 100% | 1,108 s | |
| GPT-6.1 Sol | 99% | 284.7 s | |
| GPT-6 Astra | 99% | 307.87 s | |
| | 99% | 380.25 s | |
| Claude Opus 5 | 99% | 590.89 s | |
| Claude Fable 5 | 95% | 822.74 s | |
| | 94% | 695.56 s | |
| Kimi K3.1 Pro | 91% | 496.16 s | |
| Claude Haiku 5.5 | 89% | 418.05 s | |
| Kimi K3 | 87% | 2,071 s | |
| | 84% | 929.05 s | |
| GPT-6 Sol | 83% | 304.51 s | |
| GPT-5.6 Sol | 83% | 520.4 s | |
| Claude Sonnet 5 | 77% | 898.08 s | |
| | 75% | 1,374 s | |
| GPT-5.6 Terra | 74% | 777.34 s | |
| MiMo-V2.6 Pro | 70% | 3,694 s | |
| GPT-6 Luna | 64% | 451.48 s | |
| MiMo-V2.6 Flash | 63% | 3,770 s | |
| | 61% | 1,269 s | |
| GPT-5.6 Luna | 60% | 513.69 s | |
| | 58% | 423.7 s | |
| | max | 58% | 568.7 s |
| | 58% | 1,868 s | |
| | 56% | 933.98 s | |
| | 55% | 534.06 s | |
| | 54% | 546.6 s | |
| Grok 4.6 | 51% | 861.9 s | |
| | 50% | 732.37 s | |
| GLM-5.3 | 49% | 2,543 s | |
| | 48% | 368.65 s | |
| | 43% | 469.15 s | |
| | 42% | 2,314 s | |
| | 31% | 394.48 s | |
| Grok 4.5 | 31% | 668.86 s | |
| Grok 4.7 | 26% | 767.18 s | |
| | 26% | 889.06 s | |
| MiMo-V2.5-Pro | 22% | 1,177 s | |
| GLM-5.3-Flash | 21% | 4,275 s | |
| Beam 1.0 | 18% | 266.66 s | |
| | 18% | 718.66 s | |
| | 16% | 423.45 s | |
| MiMo-V2.5 | 16% | 1,256 s | |
| | 16% | 1,454 s | |
| | 10% | 1,259 s | |
| | 9% | 479.05 s | |
| | 6% | 507.3 s | |
| Mercury 2.5 | 3% | 201.72 s | |
| | 0% | 436.43 s | |
| | 0% | 919.25 s |
The best score, 100%, costs $0.52 a task
Runs on the cost frontier score higher than any run that's cheaper. GPT-6.1 Sol comes within 1 points of the best for $0.23 a task, about half the cost. The costs are the leaderboard's own estimates, so compare them only within this benchmark.
Source: Official ProofBench v1.1 leaderboard
| Model | Effort | Harness | Score | Cost per task | Output tokens |
|---|---|---|---|---|---|
| Claude Fable 5.1 | 100% | $2.70 | 41,014 | ||
| Claude Opus 5.5 | 100% | $0.92 | 34,454 | ||
| Claude Sonnet 5.5 | 100% | $0.52 | 38,174 | ||
| Claude Fable 5.2 | 100% | $0.79 | 15,270 | ||
| Claude Opus 5 | 99% | $1.79 | 47,697 | ||
| GPT-6 Astra | 99% | $1.71 | 9,972 | ||
| GPT-6.1 Sol | 99% | $0.23 | 10,381 | ||
| | 99% | $0.78 | 16,943 | ||
| Claude Fable 5 | 95% | $5.23 | 71,127 | ||
| | 94% | $0.86 | 27,090 | ||
| Kimi K3.1 Pro | 91% | $0.47 | 22,381 | ||
| Claude Haiku 5.5 | 89% | $0.17 | 96,721 | ||
| Kimi K3 | 87% | $1.65 | 73,191 | ||
| | 84% | $1.31 | 36,876 | ||
| GPT-5.6 Sol | 83% | $1.44 | 15,223 | ||
| GPT-6 Sol | 83% | $0.48 | 13,630 | ||
| Claude Sonnet 5 | 77% | $1.37 | 74,324 | ||
| | 75% | $0.34 | 70,300 | ||
| GPT-5.6 Terra | 74% | $1.27 | 15,425 | ||
| MiMo-V2.6 Pro | 70% | $0.25 | 156,532 | ||
| GPT-6 Luna | 64% | $0.04 | 26,528 | ||
| MiMo-V2.6 Flash | 63% | $0.12 | 242,145 | ||
| | 61% | $1.74 | 72,478 | ||
| GPT-5.6 Luna | 60% | $0.12 | 18,859 | ||
| | 58% | $1.50 | 105,051 | ||
| | 58% | $0.56 | 13,973 | ||
| | max | 58% | $0.48 | 45,292 | |
| | 56% | $0.16 | 74,456 | ||
| | 55% | $0.43 | 36,064 | ||
| | 54% | $0.13 | 81,902 | ||
| Grok 4.6 | 51% | $0.82 | 38,271 | ||
| | 50% | $0.26 | 24,345 | ||
| GLM-5.3 | 49% | $2.08 | 193,607 | ||
| | 48% | $0.60 | 12,218 | ||
| | 43% | $0.44 | 37,168 | ||
| | 42% | $0.71 | 133,184 | ||
| | 31% | $0.57 | 13,387 | ||
| Grok 4.5 | 31% | $0.57 | 23,013 | ||
| | 26% | $0.78 | 21,000 | ||
| Grok 4.7 | 26% | $0.79 | 14,226 | ||
| MiMo-V2.5-Pro | 22% | $0.09 | 53,015 | ||
| GLM-5.3-Flash | 21% | $0.45 | 333,212 | ||
| | 18% | $0.42 | 48,763 | ||
| Beam 1.0 | 18% | 17,850 | |||
| MiMo-V2.5 | 16% | $0.06 | 117,169 | ||
| | 16% | $0.14 | 16,116 | ||
| | 16% | $2.30 | 169,025 | ||
| | 10% | $0.33 | 18,237 | ||
| | 9.00% | $1.30 | 18,386 | ||
| | 6.00% | $0.08 | 25,970 | ||
| Mercury 2.5 | 3.00% | $0.04 | 15,608 | ||
| | 0% | $0.20 | 14,174 | ||
| | 0% | $0.02 | 51,314 |
2 models have held number one on the official leaderboard since its release in August 2026
Lab claims count from the day the card came out, independent runs from the model’s release.
Source: Official ProofBench v1.1 leaderboard
Claude Fable 5 on the official leaderboard passed 85% in June 2026
All the scores we have, one dot each, so a model tested at several settings appears more than once.
Source: Official ProofBench v1.1 leaderboard
No lab model card reports it yet
We read the headline results of 522 launch posts from 52 labs, and none of them list this benchmark.
Versions
We switch the top row to each new version when it comes out. Open it for one row per version. An old version stays in play while people still test it, so whoever first takes it past 85% gets credit for closing it out.
Source: Official leaderboards
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