GenesisGeo-2B

📃 Paper • 📚 GitHub

This model is specialized in automated geometric theorem proving, capable of proposing auxiliary constructions to solve challenging geometry problems. It forms the neural component of the GenesisGeo project—a neuro-symbolic system that combines a vision-language model with the DDAR symbolic deduction engine.

It is built upon Qwen3-VL-2B-Instruct and trained on synthetic geometry data for predicting auxiliary constructions from formal problem statements, with or without diagrams.

Model Description

  • Architecture: Vision-language model
  • Base Model: Qwen3-VL-2B-Instruct
  • Training Data: One million synthetic multimodal geometry records for pretraining, followed by auxiliary construction data for supervised fine-tuning
  • Training: Pretraining on complete solution records containing formal problems, diagrams, auxiliary constructions, and proof traces; supervised fine-tuning for auxiliary construction prediction with and without diagrams
  • Fine-tuning: The vision encoder is frozen, while the language model and visual aligner are trained
  • Purpose: Proposing auxiliary constructions in geometric proofs within a neuro-symbolic reasoning loop

Performance

The integrated GenesisGeo neuro-symbolic system achieves the following paper-reported results, also listed in the GitHub README:

Variant IMO-30 IMO-95 HAGeo-409
Text 28/30 59/95 270/409
Vision + Text 29/30 63/95 278/409

Paper-reported results with a 32 × 512 × 4 search budget and a 60-minute time limit per problem. These results measure the complete system, including symbolic deduction and proof search.

Usage

Input and output

The model takes a formal geometry problem in the predicate DSL, enclosed in <problem>...</problem>, optionally accompanied by a diagram. It predicts auxiliary constructions in an <aux>...</aux> block.

Use the problem serialization and prompting implemented in the GenesisGeo repository. Generated constructions are checked by the symbolic deduction engine as part of the complete proof-search system.

For proof search and benchmark evaluation, follow the evaluation instructions in the GenesisGeo repository.

License

Apache License 2.0. The model is derived from Qwen3-VL-2B-Instruct.

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