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252 lines
12 KiB
252 lines
12 KiB
#include "gtest/gtest.h"
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#include "storm-config.h"
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#ifdef STORM_HAVE_MSAT
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#include "src/solver/MathsatSmtSolver.h"
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TEST(MathsatSmtSolver, CheckSat) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::expressions::Variable x = manager->declareBooleanVariable("x");
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storm::expressions::Variable y = manager->declareBooleanVariable("y");
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storm::solver::MathsatSmtSolver s(*manager);
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storm::solver::SmtSolver::CheckResult result = storm::solver::SmtSolver::CheckResult::Unknown;
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storm::expressions::Expression exprDeMorgan = storm::expressions::iff(!(x && y), !x || !y);
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ASSERT_NO_THROW(s.add(exprDeMorgan));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(s.reset());
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable c = manager->declareIntegerVariable("c");
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storm::expressions::Expression exprFormula = a >= manager->integer(0) && a < manager->integer(5) && b > manager->integer(7) && c == (a + b - manager->integer(1)) && b + a > c;
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ASSERT_NO_THROW(s.add(exprFormula));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(s.reset());
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}
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TEST(MathsatSmtSolver, CheckUnsat) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::expressions::Variable x = manager->declareBooleanVariable("x");
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storm::expressions::Variable y = manager->declareBooleanVariable("y");
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storm::solver::MathsatSmtSolver s(*manager);
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storm::solver::SmtSolver::CheckResult result = storm::solver::SmtSolver::CheckResult::Unknown;
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storm::expressions::Expression exprDeMorgan = storm::expressions::iff(!(x && y), !x || !y);
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ASSERT_NO_THROW(s.add(!exprDeMorgan));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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ASSERT_NO_THROW(s.reset());
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable c = manager->declareIntegerVariable("c");
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storm::expressions::Expression exprFormula = a >= manager->rational(2) && a < manager->integer(5) && b > manager->integer(7) && c == (a + b + manager->integer(1)) && b + a > c;
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ASSERT_NO_THROW(s.add(exprFormula));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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}
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TEST(MathsatSmtSolver, Backtracking) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::solver::MathsatSmtSolver s(*manager);
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storm::solver::SmtSolver::CheckResult result = storm::solver::SmtSolver::CheckResult::Unknown;
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storm::expressions::Expression expr1 = manager->boolean(true);
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storm::expressions::Expression expr2 = manager->boolean(false);
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storm::expressions::Expression expr3 = manager->boolean(false);
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ASSERT_NO_THROW(s.add(expr1));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(s.push());
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ASSERT_NO_THROW(s.add(expr2));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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ASSERT_NO_THROW(s.pop());
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(s.push());
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ASSERT_NO_THROW(s.add(expr2));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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ASSERT_NO_THROW(s.push());
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ASSERT_NO_THROW(s.add(expr3));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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ASSERT_NO_THROW(s.pop(2));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(s.reset());
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable c = manager->declareIntegerVariable("c");
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storm::expressions::Expression exprFormula = a >= manager->integer(0) && a < manager->integer(5) && b > manager->integer(7) && c == (a + b - manager->integer(1)) && b + a > c;
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storm::expressions::Expression exprFormula2 = c > a + b + manager->integer(1);
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ASSERT_NO_THROW(s.add(exprFormula));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(s.push());
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ASSERT_NO_THROW(s.add(exprFormula2));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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ASSERT_NO_THROW(s.pop());
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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}
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TEST(MathsatSmtSolver, Assumptions) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::solver::MathsatSmtSolver s(*manager);
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storm::solver::SmtSolver::CheckResult result = storm::solver::SmtSolver::CheckResult::Unknown;
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable c = manager->declareIntegerVariable("c");
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storm::expressions::Expression exprFormula = a >= manager->integer(0) && a < manager->integer(5) && b > manager->integer(7) && c == a + b - manager->integer(1) && b + a > c;
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storm::expressions::Variable f2 = manager->declareBooleanVariable("f2");
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storm::expressions::Expression exprFormula2 = storm::expressions::implies(f2, c > a + b + manager->integer(1));
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ASSERT_NO_THROW(s.add(exprFormula));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(s.add(exprFormula2));
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(result = s.checkWithAssumptions({f2}));
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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ASSERT_NO_THROW(result = s.checkWithAssumptions({ !f2 }));
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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}
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TEST(MathsatSmtSolver, GenerateModel) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::solver::MathsatSmtSolver s(*manager);
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storm::solver::SmtSolver::CheckResult result;
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable c = manager->declareIntegerVariable("c");
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storm::expressions::Expression exprFormula = a > manager->integer(0) && a < manager->integer(5) && b > manager->integer(7) && c == a + b - manager->integer(1) && b + a > c;
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s.add(exprFormula);
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result = s.check();
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Sat);
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std::shared_ptr<storm::solver::SmtSolver::ModelReference> model = s.getModel();
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int_fast64_t aEval = model->getIntegerValue(a);
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int_fast64_t bEval = model->getIntegerValue(b);
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int_fast64_t cEval = model->getIntegerValue(c);
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ASSERT_TRUE(cEval == aEval + bEval - 1);
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}
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TEST(MathsatSmtSolver, AllSat) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::solver::MathsatSmtSolver s(*manager);
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable x = manager->declareBooleanVariable("x");
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storm::expressions::Variable y = manager->declareBooleanVariable("y");
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storm::expressions::Variable z = manager->declareBooleanVariable("z");
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storm::expressions::Expression exprFormula1 = storm::expressions::implies(x, a > manager->integer(5));
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storm::expressions::Expression exprFormula2 = storm::expressions::implies(y, a < manager->integer(5));
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storm::expressions::Expression exprFormula3 = storm::expressions::implies(z, b < manager->integer(5));
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s.add(exprFormula1);
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s.add(exprFormula2);
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s.add(exprFormula3);
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std::vector<storm::expressions::SimpleValuation> valuations = s.allSat({x,y});
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ASSERT_TRUE(valuations.size() == 3);
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for (int i = 0; i < valuations.size(); ++i) {
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ASSERT_FALSE(valuations[i].getBooleanValue(x) && valuations[i].getBooleanValue(y));
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for (int j = i+1; j < valuations.size(); ++j) {
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ASSERT_TRUE((valuations[i].getBooleanValue(x) != valuations[j].getBooleanValue(x)) || (valuations[i].getBooleanValue(y) != valuations[j].getBooleanValue(y)));
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}
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}
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}
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TEST(MathsatSmtSolver, UnsatAssumptions) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::solver::MathsatSmtSolver s(*manager, storm::solver::MathsatSmtSolver::Options(false, true, false));
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storm::solver::SmtSolver::CheckResult result = storm::solver::SmtSolver::CheckResult::Unknown;
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable c = manager->declareIntegerVariable("c");
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storm::expressions::Expression exprFormula = a >= manager->integer(0) && a < manager->integer(5) && b > manager->integer(7) && c == a + b - manager->integer(1) && b + a > c;
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storm::expressions::Variable f2 = manager->declareBooleanVariable("f2");
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storm::expressions::Expression exprFormula2 = storm::expressions::implies(f2, c > a + b + manager->integer(1));
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s.add(exprFormula);
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s.add(exprFormula2);
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result = s.checkWithAssumptions({ f2 });
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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std::vector<storm::expressions::Expression> unsatCore = s.getUnsatAssumptions();
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ASSERT_EQ(unsatCore.size(), 1);
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ASSERT_TRUE(unsatCore[0].isVariable());
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ASSERT_STREQ("f2", unsatCore[0].getIdentifier().c_str());
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}
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TEST(MathsatSmtSolver, InterpolationTest) {
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std::shared_ptr<storm::expressions::ExpressionManager> manager(new storm::expressions::ExpressionManager());
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storm::solver::MathsatSmtSolver s(*manager, storm::solver::MathsatSmtSolver::Options(false, false, true));
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storm::solver::SmtSolver::CheckResult result = storm::solver::SmtSolver::CheckResult::Unknown;
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storm::expressions::Variable a = manager->declareIntegerVariable("a");
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storm::expressions::Variable b = manager->declareIntegerVariable("b");
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storm::expressions::Variable c = manager->declareIntegerVariable("c");
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storm::expressions::Expression exprFormula = a > b;
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storm::expressions::Expression exprFormula2 = b > c;
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storm::expressions::Expression exprFormula3 = c > a;
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s.setInterpolationGroup(0);
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s.add(exprFormula);
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s.setInterpolationGroup(1);
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s.add(exprFormula2);
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s.setInterpolationGroup(2);
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s.add(exprFormula3);
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ASSERT_NO_THROW(result = s.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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storm::expressions::Expression interpol;
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ASSERT_NO_THROW(interpol = s.getInterpolant({0, 1}));
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storm::solver::MathsatSmtSolver s2(*manager);
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ASSERT_NO_THROW(s2.add(!storm::expressions::implies(exprFormula && exprFormula2, interpol)));
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ASSERT_NO_THROW(result = s2.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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ASSERT_NO_THROW(s2.reset());
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ASSERT_NO_THROW(s2.add(interpol && exprFormula3));
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ASSERT_NO_THROW(result = s2.check());
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ASSERT_TRUE(result == storm::solver::SmtSolver::CheckResult::Unsat);
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}
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#endif
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