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An advanced SAT solver

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msoos/cryptominisat

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License: MITWindows buildbuild

CryptoMiniSat SAT solver

This system provides CryptoMiniSat, an advanced incremental SAT solver. The system has 3interfaces: command-line, C++ library and python. The command-line interfacetakes acnf as aninput in theDIMACSformat with the extension of XOR clauses. The C++ and python interface mimics this and alsoallows for incremental use: assumptions and multiplesolve calls.A C compatible wrapper is also provided.

When citing, always reference ourSAT 2009 conference paper, bibtex record ishere.

License

Everything that is needed to build by default is MIT licensed. If you specifically instruct the system it can build with Bliss, which are both GPL. However, by default CryptoMiniSat will not build with these.

Compiling in Linux

Then, To build and install, run:

sudo apt-get install build-essential cmake libgmp-dev# not required but very usefulsudo apt-get install zlib1g-devgit clone https://github.com/meelgroup/cadicalcd cadicalgit checkout mate-only-libraries-1.8.0./configuremakecd ..git clone https://github.com/meelgroup/cadibackcd cadibackgit checkout mate./configuremakecd ..git clone https://github.com/msoos/cryptominisatcd cryptominisatmkdir build && cd buildcmake ..makesudo make installsudo ldconfig

Command-line usage

Let's take the file:

p cnf 3 31 0-2 0-1 2 3 0

The file has 3 variables and 3 clauses, this is reflected in the headerp cnf 3 3 which gives the number of variables as the first number and the number of clauses as the second.Every clause is ended by '0'. The clauses say: 1 must be True, 2must be False, and either 1 has to be False, 2 has to be True or 3 has to beTrue. The only solution to this problem is:

cryptominisat5 --verb 0 file.cnfs SATISFIABLEv 1 -2 3 0

Which means, that setting variable 1 True, variable 2 False and variable 3 True satisfies the set of constraints (clauses) in the CNF. If the file had contained:

p cnf 3 41 0-2 0-3 0-1 2 3 0

Then there is no solution and the solver returnss UNSATISFIABLE.

Incremental Python Usage

The python module works with both Python 3. Just execute:

pip3 install pycryptosat

You can then use it in incremental mode as:

>>> from pycryptosat import Solver>>> s = Solver()>>> s.add_clause([1])>>> s.add_clause([-2])>>> s.add_clause([-1, 2, 3])>>> sat, solution = s.solve()>>> print satTrue>>> print solution(None, True, False, True)>>> sat, solution = s.solve([-3])>> print satFalse>>> sat, solution = s.solve()>>> print satTrue>>> s.add_clause([-3])>>> sat, solution = s.solve()>>> print satFalse

We can also try to assume any variable values for a single solver run:

>>> sat, solution = s.solve([-3])>>> print satFalse>>> print solutionNone>>> sat, solution = s.solve()>>> print satTrue>>> print solution(None, True, False, True)

If you want to build the python module, you can do this:

sudo apt-get install build-essentialsudo apt-get install python3-setuptools python3-devgit clone https://github.com/msoos/cryptominisatpython -m buildpip install dist/pycryptosat-*.whl

Incremental Library Usage

The library uses a variable numbering scheme that starts from 0. Since 0 cannotbe negated, the classLit is used as:Lit(variable_number, is_negated). Assuch, the 1st CNF above would become:

#include <cryptominisat5/cryptominisat.h>#include <assert.h>#include <vector>using std::vector;using namespace CMSat;int main(){    SATSolver solver;    vector<Lit> clause;    //Let's use 4 threads    solver.set_num_threads(4);    //We need 3 variables. They will be: 0,1,2    //Variable numbers are always trivially increasing    solver.new_vars(3);    //add "1 0"    clause.push_back(Lit(0, false));    solver.add_clause(clause);    //add "-2 0"    clause.clear();    clause.push_back(Lit(1, true));    solver.add_clause(clause);    //add "-1 2 3 0"    clause.clear();    clause.push_back(Lit(0, true));    clause.push_back(Lit(1, false));    clause.push_back(Lit(2, false));    solver.add_clause(clause);    lbool ret = solver.solve();    assert(ret == l_True);    std::cout    << "Solution is: "    << solver.get_model()[0]    << ", " << solver.get_model()[1]    << ", " << solver.get_model()[2]    << std::endl;    //assumes 3 = FALSE, no solutions left    vector<Lit> assumptions;    assumptions.push_back(Lit(2, true));    ret = solver.solve(&assumptions);    assert(ret == l_False);    //without assumptions we still have a solution    ret = solver.solve();    assert(ret == l_True);    //add "-3 0"    //No solutions left, UNSATISFIABLE returned    clause.clear();    clause.push_back(Lit(2, true));    solver.add_clause(clause);    ret = solver.solve();    assert(ret == l_False);    return 0;}

The library usage also allows for assumptions. We can add these lines justbefore thereturn 0; above:

vector<Lit> assumptions;assumptions.push_back(Lit(2, true));lbool ret = solver.solve(&assumptions);assert(ret == l_False);lbool ret = solver.solve();assert(ret == l_True);

Since we assume that variable 2 must be false, there is no solution. However,if we solve again, without the assumption, we get back the original solution.Assumptions allow us to assume certain literal values for aspecific run butnot all runs -- for all runs, we can simply add these assumptions as 1-longclauses.

Multiple solutions

To find multiple solutions to your problem, just run the solver in a loopand ban the previous solution found:

while(true) {    lbool ret = solver->solve();    if (ret != l_True) {        assert(ret == l_False);        //All solutions found.        exit(0);    }    //Use solution here. print it, for example.    //Banning found solution    vector<Lit> ban_solution;    for (uint32_t var = 0; var < solver->nVars(); var++) {        if (solver->get_model()[var] != l_Undef) {            ban_solution.push_back(                Lit(var, (solver->get_model()[var] == l_True)? true : false));        }    }    solver->add_clause(ban_solution);}

The above loop will run as long as there are solutions. It ishighlysuggested toonly add into the new clause(bad_solutions above) thevariables that are "important" or "main" to your problem. Variables that wereonly used to translate the original problem into CNF should not be added.This way, you will not get spurious solutions that don't differ in the main,important variables.

Rust bindings

To build the Rust bindings:

git clone https://github.com/msoos/cryptominisat-rs/cd cryptominisat-rscargo build --releasecargo test

You can use it as per theREADME in that repository. To include CryptoMiniSat in your Rust project, add the dependency to yourCargo.toml file:

cryptominisat = { git = "https://github.com/msoos/cryptominisat-rs", branch= "master" }

You can see an example project using CryptoMiniSat in Rusthere.

Preprocessing

If you wish to use CryptoMiniSat as a preprocessor, we encourage youto try out our model counting preprocessor,Arjun.

Gauss-Jordan elimination

Since CryptoMiniSat 5.8, Gauss-Jordan elimination is compiled into the solver by default. However, it will turn off automatically in case the solver observes GJ not to perform too well. To use Gaussian elimination, provide a CNF with xors in it (either in CNF or XOR+CNF form) and either run with default setup, or, tune it to your heart's desire:

Gauss options:  --iterreduce arg (=1)       Reduce iteratively the matrix that is updated.We                              effectively are moving the start to the last                              column updated  --maxmatrixrows arg (=3000) Set maximum no. of rows for gaussian matrix. Too                              large matrixes should be discarded for reasons of                              efficiency  --autodisablegauss arg (=1) Automatically disable gauss when performing badly  --minmatrixrows arg (=5)    Set minimum no. of rows for gaussian matrix.                              Normally, too small matrixes are discarded for                              reasons of efficiency  --savematrix arg (=2)       Save matrix every Nth decision level  --maxnummatrixes arg (=3)   Maximum number of matrixes to treat.

In particular, you may want to set--autodisablegauss 0 in case you are sure it'll help.

Testing

For testing you will need the GIT checkout and build as per:

sudo apt-get install build-essential cmake gitsudo apt-get install zlib1g-dev libboost-program-options-dev libsqlite3-devsudo apt-get install git python3-pip python3-setuptools python3-devsudo pip3 install --upgrade pipsudo pip3 install litgit clone https://github.com/msoos/cryptominisat.gitcd cryptominisatgit submodule update --initmkdir build && cd buildcmake -DENABLE_TESTING=ON ..make -j4make testsudo make installsudo ldconfig

Fuzzing

Build for test as per above, then:

cd ../cryptominisat/scripts/fuzz/./fuzz_test.py

CrystalBall

Build and use instructions below. Please see theassociated blog post for more information.

# prerequisites on a modern Debian/Ubuntu installationsudo apt-get install build-essential cmake gitsudo apt-get install zlib1g-dev libsqlite3-devsudo apt-get install libboost-program-options-dev libboost-serialization-devsudo apt-get install python3-pipsudo pip3 install sklearn pandas numpy lit matplotlib# build and install Louvain Communitiesgit clone https://github.com/meelgroup/louvain-communitycd louvain-communitymkdir build && cd buildcmake ..make -j10sudo make installcd ../..# build and install XGBoostgit clone https://github.com/dmlc/xgboostcd xgboostmkdir build && cd buildcmake ..make -j10sudo make installcd ../..# build and install LightGBMgit clone https://github.com/microsoft/LightGBMcd LightGBMmkdir build && cd buildcmake ..make -j10sudo make installcd ../..# getting the codegit clone https://github.com/msoos/cryptominisatcd cryptominisatgit checkout crystalballgit submodule update --initmkdir build && cd buildln -s ../scripts/crystal/* .ln -s ../scripts/build_scripts/* .# Let's get an unsatisfiable CNFwget https://www.msoos.org/largefiles/goldb-heqc-i10mul.cnf.gzgunzip goldb-heqc-i10mul.cnf.gz# Gather the data, denormalize, label,# create the classifier, generate C++,# and build the final SAT solver./ballofcrystal.sh goldb-heqc-i10mul.cnf[...compilations and the full data pipeline...]# let's use our newly built tool./cryptominisat5 goldb-heqc-i10mul.cnf[ ... ]s UNSATISFIABLE# Let's look at the datacd goldb-heqc-i10mul.cnf-dirsqlite3 mydata.dbsqlite> select count() from sum_cl_use;94507

CMake Arguments

The following arguments to cmake configure the generated build artifacts. To use, specify options prior to running make in a clean subdirectory:cmake <options> ..

  • -DSTATICCOMPILE=<ON/OFF> -- statically linked library and binary.
  • -DSTATS=<ON/OFF> -- advanced statistics (slower). Needslouvain communities installed.
  • -DENABLE_TESTING=<ON/OFF> -- test suite support
  • -DNOMPI=<ON/OFF> -- without MPI support
  • -DNOZLIB=<ON/OFF> -- no gzip DIMACS input support
  • -DLARGEMEM=<ON/OFF> -- more memory available for clauses (but slower on most problems)
  • -DIPASIR=<ON/OFF> -- Buildlibipasircryptominisat.so forIPASIR interface support

C usage

See src/cryptominisat_c.h.in for details. This is an experimental feature.


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