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@@ -23,9 +23,9 @@ The state-of-the-art backbone extractor, [`CadiBack`](https://github.com/arminbi
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  ```
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  ## File Naming Convention
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- 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.
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- 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 CNF formula.
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  ## Format of the Extracted Backbone File
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  The extracted backbone file (`*.backbone`) adheres to the output format of [`CadiBack`](https://github.com/arminbiere/cadiback).
@@ -33,7 +33,7 @@ The extracted backbone file (`*.backbone`) adheres to the output format of [`Cad
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  ## References
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  If you use `DataBack` in your research, please kindly cite the following papers.
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- [`NeuroBack`](https://arxiv.org/pdf/2110.14053.pdf) paper:
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  ```bib
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  @article{wang2023neuroback,
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  author = {Wang, Wenxi and
@@ -48,7 +48,7 @@ If you use `DataBack` in your research, please kindly cite the following papers.
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  }
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  ```
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- [`CadiBack`](https://wenxiwang.github.io/papers/cadiback.pdf) paper:
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  ```bib
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  @inproceedings{biere2023cadiback,
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  title={CadiBack: Extracting Backbones with CaDiCaL},
 
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  ```
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  ## File Naming Convention
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+ 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.
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+ For dual formulas and their corresponding backbone files, the naming convention remains consistent, but with an added **`d_`** prefix.
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  ## Format of the Extracted Backbone File
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  The extracted backbone file (`*.backbone`) adheres to the output format of [`CadiBack`](https://github.com/arminbiere/cadiback).
 
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  ## References
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  If you use `DataBack` in your research, please kindly cite the following papers.
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+ [`NeuroBack paper`](https://arxiv.org/pdf/2110.14053.pdf):
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  ```bib
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  @article{wang2023neuroback,
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  author = {Wang, Wenxi and
 
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  }
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  ```
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+ [`CadiBack paper`](https://wenxiwang.github.io/papers/cadiback.pdf):
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  ```bib
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  @inproceedings{biere2023cadiback,
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  title={CadiBack: Extracting Backbones with CaDiCaL},