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#![doc(html_root_url = "https://docs.rs/splr/0.3.0")] /*! # a SAT Solver for Propositional Logic in Rust Splr is a pure Rustic SAT solver, based on [Glucose 4.1](https://www.labri.fr/perso/lsimon/glucose/). It adopts various research results on SAT solvers: - CDCL, watch literals, and so on from [Minisat](http://minisat.se) and the ancestors - Glucose-like dynamic blocking/forcing restarts based on [EMAs](https://arxiv.org/abs/1506.08905) - heuristics adaptation - pre/in-process simplification based on clause subsumption and variable elimination - Learning Rate Based Branching and Reason Side Rewarding *Many thanks to SAT researchers.* ## Usage Splr is a standalone program, taking a CNF file. The result will be saved to a file. ```plain $ splr tests/sample.cnf sample.cnf 250,1065 |time: 0.37 #conflict: 17792, #decision: 20650, #propagate: 38443 Assignment|#rem: 243, #fix: 1, #elm: 6, prg%: 2.8000 Clause|Remv: 11307, LBD2: 52, Binc: 0, Perm: 1056 Restart|#BLK: 213, #RST: 0, tASG: 1.3606, tLBD: 1.0145 Strategy|mode: in the initial search phase to determine a main strategy Result|file: ./.ans_sample.cnf SATISFIABLE: tests/sample.cnf $ cat .ans_sample.cnf c An assignment set generated by splr-0.3.0 for tests/sample.cnf c c sample.cnf , #var: 250, #cls: 1065 c #conflict: 17792, #decision: 20650, #propagate: 38443 c Assignment|#rem: 243, #fix: 1, #elm: 6, prg%: 2.8000 c Clause|Remv: 11307, LBD2: 52, Binc: 0, Perm: 1056 c Restart|#BLK: 213, #RST: 0, eASG: 1.3606, eLBD: 1.0145 c Conflict|eLBD: 11.00, cnfl: 15.80, bjmp: 14.65, rpc%: 0.0000 c misc|#rdc: 3, #sce: 2, stag: 0, vdcy: 0.0 c Strategy|mode: initial, time: 0.36 c s SATISFIABLE 1 2 -3 4 -5 6 7 8 9 -10 11 12 13 14 -15 16 -17 18 19 20 21 -22 23 ... 0 $ dmcr tests/sample.cnf A valid assignment set for tests/sample.cnf is found in .ans_sample.cnf. ``` The answer file uses the following format. - It contains a single line starting with `s` and followed by `SATISFIABLE` or `UNSATISFIABLE`. - It ends a line of assignments separated by a space and `0` as EOL, if the problem is satisfiable. Otherwise it contains only `0`. - Lines starting with `c` are comments, used for dumping statistics ### Mnemonics in progress message | mnemonic | meaning | | --------- |------- | | `v` | the number of variables used in the given CNF file | | `c` | the number of clauses used in the given CNF file | | `time` | elapsed CPU time in seconds (or wall-clock time if CPU time is not available) | | `#conflict` | the number of conflicts | | `#decision` | the number of decisions | | `#propagate` | the number of propagates (its unit is literal) | | `#rem` | the number of remaining variables | | `#fix` | the number of solved variables (which has been assigned a value at decision level zero) | | `#elm` | the number of eliminated variables | | `prg%` | the percentage of `remaining variables / total variables` | | `Remv` | the number of learnt clauses which are not biclauses | | `LBD2` | the number of learnt clauses which LBDs are 2 | | `Binc` | the number of binary learnt clauses | | `Perm` | the number of given clauses and binary learnt clauses | | `#BLK` | the number of blocking restart | | `#RST` | the number of restart | | `tASG` | the trend rate of the number of assigned variables | | `tLBD` | the trend rate of learn clause's LBD | | `eLBD` | the EMA, Exponential Moving Average, of learn clauses' LBDs | | `cnfl` | the EMA of decision levels to which backjumps go | | `bjmp` | the EMA of decision levels at which conflicts occur | | `rpc%` | a percentage of restart per conflict | | `#rdc` | the number of `reduce` invocations | | `#sce` | the number of satisfied clause eliminations done by `simplify` | | `stag` | the number of stagnated periods (no progress in 10,000 conflicts) | | `vdcy` | var activity decay rate | | `mode` | Selected strategy's id | | `time` | the elapsed CPU time in seconds | ## Command line options Please check help message. ```plain $ splr --help splr 0.3.0 Narazaki Shuji <shujinarazaki@protonmail.com> A pure rustic CDCL SAT solver based on Glucose USAGE: splr [FLAGS] [OPTIONS] <cnf-filename> FLAGS: -h, --help Prints help information -c, --certify Writes a DRAT UNSAT certification file -l, --log Uses Glucose-like progress report -V, --version Prints version information -S, --without-adaptive-strategy Disables dynamic strategy adaptation -D, --without-deep-search Disables deep search mode -E, --without-elim Disables exhaustive simplification OPTIONS: --cl <clause-limit> soft limit of #clauses (6MC/GB) [default: 0] --stat <dump-interval> interval for dumpping stat data [default: 0] --eg <elim-grow-limit> grow limit of #clauses by v-elim [default: 4] --el <elim-lit-limit> #literals in a clause by v-elim [default: 64] -o, --dir <output-dirname> output directory [default: .] -p, --proof <proof-filename> filename for DRAT cert [default: proof.out] --ra <restart-asg-len> length for assignment average [default: 3500] --rb <restart-blocking> blocking restart threshold [default: 1.40] --rl <restart-lbd-len> length for LBD average [default: 50] --rs <restart-step> #conflicts between restarts [default: 50] --rt <restart-threshold> forcing restart threshold [default: 0.70] -r, --result <result-filename> result filename/stdout [default: ] --to <timeout> CPU time limit in sec [default: 0] ARGS: <cnf-filename> a DIMACS format CNF file ``` ## Correctness While Splr comes with **ABSOLUTELY NO WARRANTY**, Splr version 0.1.0 (splr-0.1.0) was verified with the following problems: * The first 100 problems from [SATLIB](https://www.cs.ubc.ca/~hoos/SATLIB/benchm.html), [250 variables uniform random satisfiable 3-SAT](https://www.cs.ubc.ca/~hoos/SATLIB/Benchmarks/SAT/RND3SAT/uf250-1065.tar.gz) : all the solutions are correct. * The first 100 problems from [SATLIB](https://www.cs.ubc.ca/~hoos/SATLIB/benchm.html), [250 variables uniform random unsatisfiable 3-SAT](https://www.cs.ubc.ca/~hoos/SATLIB/Benchmarks/SAT/RND3SAT/uuf250-1065.tar.gz) : all the solutions are correct and verified with [drat-trim](http://www.cs.utexas.edu/~marijn/drat-trim/). * [SAT Competition 2017](https://baldur.iti.kit.edu/sat-competition-2017/index.php?cat=tracks), [Main track](https://baldur.iti.kit.edu/sat-competition-2017/benchmarks/Main.zip) : with a 2000 sec timeout, splr-0.1.0 solved: * 72 satisfiable problems: all the solutions are correct. * 51 unsatisfiable problems: [Lingeling](http://fmv.jku.at/lingeling/) or Glucose completely returns the same result. And, * 37 certificates generated by splr-0.1.1 were verified with drat-trim. * The remaining 14 certificates weren't able to be verified due to [timeout](https://gitlab.com/satisfiability01/splr/issues/74#note_142021555) by drat-trim. */ // /// Subsumption-based clause/var elimination /// Crate `clause` provides `clause` object and its manager `ClauseDB` pub mod clause; /// Crate `config` provides solver's configuration and CLI. pub mod config; /// Crate `eliminator` implments clause subsumption and var elimination. pub mod eliminator; /// Crate `propagator` implements Boolean Constraint Propagation and decision var selection. pub mod propagator; /// Crate `restart` provides restart heuristics. pub mod restart; /// Crate `solver` provides the top-level API as a SAT solver. pub mod solver; /// Crate `state` is a collection of internal data. pub mod state; /// Crate `types` provides various building blocks, including /// some common traits. pub mod types; /// Crate `validator` implements a model checker. pub mod validator; /// Crate `var` provides `var` object and its manager `VarDB`. pub mod var; #[macro_use] extern crate bitflags;