mirror of
https://github.com/google-deepmind/deepmind-research.git
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Laurent Orseau
78 lines
3.6 KiB
Markdown
78 lines
3.6 KiB
Markdown
# Satore: First-order logic saturation with atom rewriting
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Satore is a first-order logic resolution based theorem prover in CNF without
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equality, but with atom rewrite rules. New rewrite rules can be
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discovered during the proof search, potentially reducing exponentially the
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search space.
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Satore stands for Saturation with Atom Rewriting.
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## Installation
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First, install the **Racket** programming language (Apache2/MIT):
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https://download.racket-lang.org
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Note for Linux users: Do read the comments on the download page.
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You may need to
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[configure the PATH environment variable](https://github.com/racket/racket/wiki/Configure-Command-Line-for-Racket)
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to include the directory containing the `racket` and `raco` executables.
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To install **satore** and its dependencies (all are Apache2/MIT licensed),
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type:
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```shell
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raco pkg install --auto --update-deps satore
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```
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<!--
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Cloning only the correct subdirectory of the deemind-research repository is
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inconvenient, but the Racket package does that itself rather nicely.
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-->
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## Running Satore
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First, you can check that satore is correctly installed by typing:
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```shell
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racket -l- satore --help
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```
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There are some examples in the `examples` subdirectory of the `satore`
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directory, and its location can be found with
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```shell
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racket -e '(displayln (collection-file-path "examples" "satore"))'
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```
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Run a trivial example:
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```shell
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racket -l- satore -p path-to-satore/examples/socrates.p --proof
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```
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The `.p` file is assumed to be a standalone file with only comments and
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`cnf(…).` lines without equality, where the logic clause must be surrounded by
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parentheses. All axioms must be included. (This will likely be improved soon.)
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## Results on TPTP 7.2.0 (corrected)
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Corrected results on TPTP 7.2.0, on a 2-2.5GHz CPU, with a limit of 5 minutes
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and 32GB per problem, either with the default settings, or with
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`--no-discover-online` to disable atom rewriting:
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```
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┌────────────────────────────┬───────┬───────┬───────┬───────┬───────┬────────┐
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│Strategy │ UEQ │ CNE │ CEQ │ FNE │ FEQ │ All │
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│ Class size→│ 1092 │ 2212 │ 4436 │ 1784 │ 5860 │ 15384 │
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├────────────────────────────┼───────┼───────┼───────┼───────┼───────┼────────┤
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│Satore (all) │ 177 │ 1140 │ 956 │ 822 │ 1324 │ 4419 │
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│ (proof) │ 177 │ 1078 │ 952 │ 766 │ 1324 │ 4297 │
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│ (sat) │ 0 │ 62 │ 4 │ 56 │ 0 │ 122 │
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├────────────────────────────┼───────┼───────┼───────┼───────┼───────┼────────┤
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│Satore w/o atom rw (all) │ 128 │ 967 │ 674 │ 711 │ 843 │ 3323 │
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│ (proof) │ 128 │ 913 │ 670 │ 658 │ 843 │ 3212 │
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│ (sat) │ 0 │ 54 │ 4 │ 53 │ 0 │ 111 │
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└────────────────────────────┴───────┴───────┴───────┴───────┴───────┴────────┘
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```
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