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SimpleGeometry

This repository contains simplified code for the paper:

Wu's Method can Boost Symbolic AI to Rival Silver Medalists and AlphaGeometry to Outperform Gold Medalists at IMO Geometry, Arxiv
Shiven Sinha*, Ameya Prabhu*, Ponnurangam Kumaraguru, Siddharth Bhat+, Matthias Bethge+
[PDF] [Slides] [Bibtex]

To run either of Wu's, Full-Angle, or Deductive Database provers implemented in JGEX,

  • Download JGEX
  • Import any of problems files. The diagram should be automatically constructed once this is done.
  • Pick your prover from the top right corner of the left pane and click on the prove button.

In the case of 2002 P2A and P2B, you need to launch a separate JGEX instance and recreate the diagram from scratch using the provided file as reference. The proof process must be performed on this new instance.

We did not require changing the default memory limits to produce the results in the paper. However, you can additionally build JGEX from source to increase the memory limits for provers. Follow the instructions available in JGEX's documentation, and before running ./gradlew run, (tweak and) paste the following line of code in the terminal to the memory limit to 10GB.

export _JAVA_OPTIONS="-Xmx10g"

If you discover any bugs in the code please contact me, I will cross-check them with my nightmares.

Citation

We hope SimpleGeometry provides strong baselines, and Wu's method is useful for your cool automated theorem prover! To cite our work:

@inproceedings{sinha2024wu,
  title={Wu's Method can Boost Symbolic AI to Rival Silver Medalists and AlphaGeometry to Outperform Gold Medalists at IMO Geometry},
  author={Sinha, Shiven and Prabhu, Ameya and Kumaraguru, Ponnurangam and Bhat, Siddharth and Bethge, Matthias},
  booktitle={arXiv preprint arXiv:2404.06405},
  month={April},
  year={2024}
}
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