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CryptoMiniSat SAT solver

This system provides CryptoMiniSat, an advanced SAT solver. The system has 3 interfaces: command-line, C++ library and python. The command-line interface takes a cnf as an input in the DIMACS format with the extension of XOR clauses. The C++ interface mimics this except that it allows for a more efficient system, with assumptions and multiple solve() calls. The python system is an interface to the C++ system that provides the best of both words: ease of use and a powerful interface.

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Prerequisites

You need to have the following installed in case you use Debian or Ubuntu -- for other distros, the packages should be similarly named::

$ sudo apt-get install build-essential cmake

The following are not required but are useful::

$ sudo apt-get install valgrind libm4ri-dev libmysqlclient-dev libsqlite3-dev

Compiling and installing

You have to use cmake to compile and install. I suggest::

$ tar xzvf my-cryptominisat-tarball.tar.gz
$ cd cryptominisat-version
$ mkdir build
$ cd build
$ cmake ..
$ make -j4
$ sudo make install

Once cryptominisat is installed, the binary is available under /usr/local/bin/cryptominisat4, the library shared library is available under /usr/local/lib/libcryptominisat4.so and the 3 header files are available under /usr/local/include/cryptominisat4/. To use the python bindings, you must have python installed while compiling and after the compilation has finished, issue:

$ sudo ldconfig

You can uninstall both by simply doing sudo make uninstall in their respective directories.

Command-line usage

Let's take the file::

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

The files has 3 clauses and 2 variables, this is reflected in the header p cnf 2 3. Every clause is ended by '0'. The clauses say: 1 must be True, 2 must be False, and either 1 has to be False, 2 has to be True or 3 has to be True. The only solution to this problem is::

$ cryptominisat4 --verb 0 file.cnf
s SATISFIABLE
v 1 -2 3 0

If the file had contained::

p cnf 2 4
1 0
-2 0
-3 0
-1 2 3 0

Then there is no solution and the solver returns s UNSATISFIABLE.

Python usage

The python module is under the directory python. You have to first compile and install this module, as explained above. You can then use it as::

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

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

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

For more detailed instruction, please see the README.rst under the python directory.

Library usage

The library uses a variable numbering scheme that starts from 0. Since 0 cannot be negated, the class Lit is used as: Lit(variable_number, is_negated). As such, the 1st CNF above would become::

#include <cryptominisat4/cryptominisat.h>
#include <assert.h>
#include <vector>
using std::vector;
using namespace CMSat;

int main()
{
    SATSolver solver;
    vector<Lit> clause;

    //We need 3 variables
    solver.new_vars(3);

    //Let's use 4 threads
    solver.set_num_threads(4);

    //adds "1 0"
    clause.push_back(Lit(0, false));
    solver.add_clause(clause);

    //adds "-2 0"
    clause.clear();
    clause.push_back(Lit(1, true));
    solver.add_clause(clause);

    //adds "-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);
    assert(solver.get_model()[0] == l_True);
    assert(solver.get_model()[1] == l_False);
    assert(solver.get_model()[2] == l_True);
    std::cout
    << "Solution is: "
    << solver.get_model()[0]
    << ", " << solver.get_model()[1]
    << ", " << solver.get_model()[2]
    << std::endl;

    return 0;
}

The library usage also allows for assumptions. We can add these lines just before the return 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 variabe 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 a specific run but not all runs -- for all runs, we can simply add these assumptions as 1-long clauses.

Multiple solutions

To find multiple solutions to your problem, just run the solver in a loop and 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 is highly suggested to only add into the new clause(bad_solutions above) the variables that are "important" or "main" to your problem. Variables that were only 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.

Testing

For testing you will need the GIT checkout and get the submodules:

git clone https://github.com/msoos/cryptominisat.git
cd cryptominisat
git submodules init
git submodules update

Then you need to build with -DENABLE_TESTING=ON, build and run the tests:

mkdir build
cmake -DENABLE_TESTING=ON ..
make -j4
make test

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