void Tptp::addTheory(Theory theory) {
ExprManager * em = getExprManager();
switch(theory) {
case THEORY_CORE:
//TPTP (CNF and FOF) is unsorted so we define this common type
{
std::string d_unsorted_name = "$$unsorted";
d_unsorted = em->mkSort(d_unsorted_name);
preemptCommand( new DeclareTypeCommand(d_unsorted_name, 0, d_unsorted) );
}
// propositionnal
defineType("Bool", em->booleanType());
defineVar("$true", em->mkConst(true));
defineVar("$false", em->mkConst(false));
addOperator(kind::AND);
addOperator(kind::EQUAL);
addOperator(kind::IMPLIES);
//addOperator(kind::ITE); //only for tff thf
addOperator(kind::NOT);
addOperator(kind::OR);
addOperator(kind::XOR);
addOperator(kind::APPLY_UF);
//Add quantifiers?
break;
default:
std::stringstream ss;
ss << "internal error: Tptp::addTheory(): unhandled theory " << theory;
throw ParserException(ss.str());
}
}
int main() {
ExprManager em;
SmtEngine smt(&em);
smt.setOption("produce-models", true); // Produce Models
smt.setOption("output-language", "cvc4"); // Set the output-language to CVC's
smt.setOption("default-dag-thresh", 0); //Disable dagifying the output
smt.setLogic(string("QF_UFLIRA"));
// Sorts
SortType u = em.mkSort("u");
Type integer = em.integerType();
Type boolean = em.booleanType();
Type uToInt = em.mkFunctionType(u, integer);
Type intPred = em.mkFunctionType(integer, boolean);
// Variables
Expr x = em.mkVar("x", u);
Expr y = em.mkVar("y", u);
// Functions
Expr f = em.mkVar("f", uToInt);
Expr p = em.mkVar("p", intPred);
// Constants
Expr zero = em.mkConst(Rational(0));
Expr one = em.mkConst(Rational(1));
// Terms
Expr f_x = em.mkExpr(kind::APPLY_UF, f, x);
Expr f_y = em.mkExpr(kind::APPLY_UF, f, y);
Expr sum = em.mkExpr(kind::PLUS, f_x, f_y);
Expr p_0 = em.mkExpr(kind::APPLY_UF, p, zero);
Expr p_f_y = em.mkExpr(kind::APPLY_UF, p, f_y);
// Construct the assumptions
Expr assumptions =
em.mkExpr(kind::AND,
em.mkExpr(kind::LEQ, zero, f_x), // 0 <= f(x)
em.mkExpr(kind::LEQ, zero, f_y), // 0 <= f(y)
em.mkExpr(kind::LEQ, sum, one), // f(x) + f(y) <= 1
p_0.notExpr(), // not p(0)
p_f_y); // p(f(y))
smt.assertFormula(assumptions);
cout << "Given the following assumptions:" << endl
<< assumptions << endl
<< "Prove x /= y is valid. "
<< "CVC4 says: " << smt.query(em.mkExpr(kind::DISTINCT, x, y))
<< "." << endl;
cout << "Now we call checksat on a trivial query to show that" << endl
<< "the assumptions are satisfiable: "
<< smt.checkSat(em.mkConst(true)) << "."<< endl;
cout << "Finally, after a SAT call, we recursively call smt.getValue(...) on"
<< "all of the assumptions to see what the satisfying model looks like."
<< endl;
prefixPrintGetValue(smt, assumptions);
return 0;
}