README.md

DataBack: Dataset of SAT Formulas and Backbone Variable Phases

What is DataBack

DataBack is a dataset that consists of SAT formulas in CNF format, each labeled with the phases of its backbone variables. Within DataBack, there are two distinct subsets: the pre-training set, named DataBack-PT, and the fine-tuning set, named DataBack-FT. The state-of-the-art backbone extractor called CadiBack has been employed to obtain the backbone variable phases. We have allocated a timeout of 1,000 seconds for the pre-training formulas and 5,000 seconds for the fine-tuning ones due to the increased complexity of the fine-tuning formulas.

The DataBack dataset has been employed to both pre-train and fine-tune our NeuroBack model, which has demonstrated significant improvements in SAT solving efficiency. For an in-depth exploration of DataBack, please refer to our NeuroBack or CadiBack papers.

Contributors

Wenxi Wang ([email protected]), Yang Hu ([email protected])

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}
}

Directory Structure

|- original             # Original SAT formulas and their backbone variable phases
|    |- cnf_pt.tar.gz   # SAT formulas (in CNF format) for model pre-training
|    |- bb_pt.tar.gz    # Backbone phases for pre-training formulas
|    |- cnf_ft.tar.gz   # SAT formulas (in CNF format) for model fine-tuning
|    |- bb_ft.tar.gz    # Backbone phases for fine-tuning formulas
|
|- dual                      # Dual SAT formulas and their backbone variable phases
|    |- dual_cnf_pt.tar.gz   # Dual SAT formulas (in CNF format) for model pre-training
|    |- dual_bb_pt.tar.gz    # Backbone phases for dual pre-training CNFs
|    |- dual_cnf_ft.tar.gz   # Dual SAT formulas (in CNF format) for model fine-tuning
|    |- dual_bb_ft.tar.gz    # Backbone phases for dual fine-tuning CNFs

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.

In the dual directory, the naming convention remains consistent, but with an added dual_ prefix for each CNF tar file or backbone tar file, and an d_ prefix for each compressed CNF or backbone file to indicate that it pertains to a dual SAT formula.

Format of the Extracted Backbone File

The extracted backbone file (*.backbone) adheres to the output format of CadiBack. Specifically, each line contains the letter 'b' followed by an integer. This integer represents the backbone variable ID and its associated phase.