# Automated Theorem Proving on HS Competition Plane Geometry 1.0 (test) Source: [Automated Theorem Proving on HS Competition Plane Geometry 1.0 (test)]() Collection index: [llms.txt]() Data updated: 2026-04-30T07:13:48.859Z Evaluation of model performance on automated theorem proving using the test split of the HS Competition Plane Geometry 1.0 dataset, measured by the thousands of output tokens required. A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage. | Scope | Recorded value | | --- | --- | | Task | Automated Theorem Proving | | Dataset (including any stated split) | HS Competition Plane Geometry 1.0 (test) | | Metric | Thousands of Output Tokens | | Unit | SCALAR | | Direction | Lower is better | | Results loaded | 6 of 6 | | Coverage | All results currently returned for this benchmark | Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol. ## Metrics - [Thousands of Output Tokens](): Lower is better; unit: SCALAR. ## Recorded results | Method | Thousands of Output Tokens | Result date | Report paper | | --- | --- | --- | --- | | DreamProver | 0.16 | Not recorded | 69f2e22955a3c32af89fc71f | | DreamProver | 0.18 | Not recorded | 69f2e22955a3c32af89fc71f | | GPT-5.3-Codex | 0.19 | Not recorded | 69f2e22955a3c32af89fc71f | | DreamProver | 0.22 | Not recorded | 69f2e22955a3c32af89fc71f | | Gemini 2.5 Pro | 0.32 | Not recorded | 69f2e22955a3c32af89fc71f | | Gemini 3.1 Pro | 0.39 | Not recorded | 69f2e22955a3c32af89fc71f | ### DreamProver Thousands of Output Tokens: 0.16. Result ID: 69f3012847f34ce924d8fda6. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"System Category":"Lemma Learning System","Base Model":"GPT-5.3-Codex"}. This record does not assert independent reproduction. ### DreamProver Thousands of Output Tokens: 0.18. Result ID: 69f3012847f34ce924d8fda8. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"System Category":"Lemma Learning System","Base Model":"Gemini 3.1 Pro"}. This record does not assert independent reproduction. ### GPT-5.3-Codex Thousands of Output Tokens: 0.19. Result ID: 69f3012847f34ce924d8fda3. [Reporting paper]() Recorded evaluation configuration: {"System Category":"Proprietary LLMs","Base Model":"GPT-5.3-Codex"}. This record does not assert independent reproduction. ### DreamProver Thousands of Output Tokens: 0.22. Result ID: 69f3012847f34ce924d8fda7. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"System Category":"Lemma Learning System","Base Model":"Gemini 2.5 Pro"}. This record does not assert independent reproduction. ### Gemini 2.5 Pro Thousands of Output Tokens: 0.32. Result ID: 69f3012847f34ce924d8fda5. [Reporting paper]() Recorded evaluation configuration: {"System Category":"Proprietary LLMs","Base Model":"Gemini 2.5 Pro"}. This record does not assert independent reproduction. ### Gemini 3.1 Pro Thousands of Output Tokens: 0.39. Result ID: 69f3012847f34ce924d8fda4. [Reporting paper]() Recorded evaluation configuration: {"System Category":"Proprietary LLMs","Base Model":"Gemini 3.1 Pro"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.