DataBack: Dataset of SAT Formulas and Backbone Variable Phases

What is DataBack

DataBack is a dataset that consists of 120,286 SAT formulas (in CNF format), each labeled with the phases of its backbone variables. DataBack contains two distinct subsets: the pre-training set, named DataBack-PT, and the fine-tuning set, named DataBack-FT, for pre-training and fine-tuning our NeuroBack model, respectively. To learn more about NeuroBack and DataBack, please refer to our NeuroBack paper.

The state-of-the-art backbone extractor, CadiBack, has been employed to extract the backbone variable phases. To learn more about CadiBack, please refer to the CadiBack paper.

Directory Structure

|- original             # Original CNF formulas and their backbone variable phases
|    |- cnf_pt.tar.gz   # CNF formulas for pre-training
|    |- bb_pt.tar.gz    # Backbone phases for pre-training formulas
|    |- cnf_ft.tar.gz   # CNF formulas for fine-tuning
|    |- bb_ft.tar.gz    # Backbone phases for fine-tuning formulas
|
|- dual                   # Dual CNF formulas and their backbone variable phases
|    |- d_cnf_pt.tar.gz   # Dual CNF formulas for pre-training
|    |- d_bb_pt.tar.gz    # Backbone phases for dual pre-training formulas
|    |- d_cnf_ft.tar.gz   # Dual CNF formulas for fine-tuning
|    |- d_bb_ft.tar.gz    # Backbone phases for dual fine-tuning formulas

File Naming Convention

In the original directory, each CNF tar file (cnf_*.tar.gz) contains compressed CNF files named: [cnf_name].[compression_format], where [compression_format] could be bz2, lzma, xz, gz, etc. Correspondingly, each backbone tar file (bb_*.tar.gz) comprises compressed backbone files named: [cnf_name].backbone.xz. It is important to note that a compressed CNF file will always share its [cnf_name] with its associated compressed backbone file.

For dual formulas and their corresponding backbone files, the naming convention remains consistent, but with an added d_ prefix.

Format of the Extracted Backbone File

The extracted backbone file (*.backbone) adheres to the output format of CadiBack.

References

If you use DataBack in your research, please kindly cite the following papers.

NeuroBack paper:

@article{wang2023neuroback,
  author = {Wang, Wenxi and
            Hu, Yang and
            Tiwari, Mohit and
            Khurshid, Sarfraz and
            McMillan, Kenneth L. and
            Miikkulainen, Risto},
  title = {NeuroBack: Improving CDCL SAT Solving using Graph Neural Networks},
  journal={arXiv preprint arXiv:2110.14053},
  year={2021}
}

CadiBack paper:

@inproceedings{biere2023cadiback,
  title={CadiBack: Extracting Backbones with CaDiCaL},
  author={Biere, Armin and Froleyks, Nils and Wang, Wenxi},
  booktitle={26th International Conference on Theory and Applications of Satisfiability Testing (SAT 2023)},
  year={2023},
  organization={Schloss Dagstuhl-Leibniz-Zentrum f{\"u}r Informatik}
}

Contributors

Wenxi Wang (wenxiw@utexas.edu), Yang Hu (huyang@utexas.edu)