Hilbert-Geo: Solving Solid Geometric Problems
by Neural-Symbolic Reasoning

🏷️ New Repository

News

2026.02:  🎉🎉 Our paper "Hilbert-Geo: Solving Solid Geometric Problems by Neural-Symbolic Reasoning" was accepted by CVPR2026.

Structure

SolidGeoSolver/
├── api/
│   ├── base.py
│   ├── claude_api.py
├── core/
│   ├── fgps/
│   ├── gdl/
│   ├── files/
│   └── hilbert_geo/
└── data/
    └── hilbert_geo7k_v2/

• api/ contains prompt-and-call helpers for model APIs.
• core/hilbert_geo/ is the package.
• core/gdl/ and core/files/t_info.json keep the predicate library, theorem bank, and theorem metadata with the core code.
• data/hilbert_geo_v2/ contains sample subset for repository display and quick testing.

Quick Start

Install dependencies, you may need to manually download hilbertgeo in requirement.txt at present:

pip install -r requirements.txt

Run the interactive solver:

python core/fgps/run.py --func run

Run search:

python core/fgps/search.py --func search --method fw --strategy bfs

By default:

• datasets are loaded from data/
• logs are written to core/fgps/
• GDL and theorem metadata are loaded from core/ when they are not present in the dataset folder

Notes

• The Python package name is now hilbert_geo.
• The repository display name used in docs is Hilbert-Geo.
• The sample dataset folder is renamed to hilbert_geo_v2 and only includes the first 1000 problems.

✍️ Citation

If you use our work and are inspired by our work, please consider cite us:

@misc{xu2026hilbertgeosolvingsolidgeometric,
      title={Hilbert-Geo: Solving Solid Geometric Problems by Neural-Symbolic Reasoning}, 
      author={Ruoran Xu and Haoyu Cheng and Bin Dong and Qiufeng Wang},
      year={2026},
      eprint={2605.16385},
      archivePrefix={arXiv},
      primaryClass={cs.CV},
      url={https://arxiv.org/abs/2605.16385}, 
}