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78 lines
2.6 KiB
C++
78 lines
2.6 KiB
C++
/******************************************************************************
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* Top contributors (to current version):
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* Aina Niemetz, Andres Noetzli, Mathias Preiner
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*
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* This file is part of the cvc5 project.
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*
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* Copyright (c) 2009-2025 by the authors listed in the file AUTHORS
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* in the top-level source directory and their institutional affiliations.
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* All rights reserved. See the file COPYING in the top-level source
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* directory for licensing information.
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* ****************************************************************************
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*
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* A simple demonstration of the C++ interface for quantifiers.
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*/
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#include <cvc5/cvc5.h>
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#include <iostream>
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using namespace cvc5;
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int main()
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{
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TermManager tm;
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Solver slv(tm);
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// Prove that the following is unsatisfiable:
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// forall x. P( x ) ^ ~P( 5 )
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Sort integer = tm.getIntegerSort();
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Sort boolean = tm.getBooleanSort();
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Sort integerPredicate = tm.mkFunctionSort({integer}, boolean);
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Term p = tm.mkConst(integerPredicate, "P");
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Term x = tm.mkVar(integer, "x");
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// make forall x. P( x )
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Term var_list = tm.mkTerm(Kind::VARIABLE_LIST, {x});
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Term px = tm.mkTerm(Kind::APPLY_UF, {p, x});
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Term quantpospx = tm.mkTerm(Kind::FORALL, {var_list, px});
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std::cout << "Made expression : " << quantpospx << std::endl;
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//make ~P( 5 )
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Term five = tm.mkInteger(5);
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Term pfive = tm.mkTerm(Kind::APPLY_UF, {p, five});
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Term negpfive = tm.mkTerm(Kind::NOT, {pfive});
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std::cout << "Made expression : " << negpfive << std::endl;
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Term formula = tm.mkTerm(Kind::AND, {quantpospx, negpfive});
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slv.assertFormula(formula);
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std::cout << "Checking SAT after asserting " << formula << " to cvc5."
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<< std::endl;
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std::cout << "cvc5 should report unsat." << std::endl;
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std::cout << "Result from cvc5 is: " << slv.checkSat() << std::endl;
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slv.resetAssertions();
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// this version has a pattern e.g. in smt2 syntax (forall ((x Int)) (! (P x ) :pattern ((P x))))
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Term pattern = tm.mkTerm(Kind::INST_PATTERN, {px});
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Term pattern_list = tm.mkTerm(Kind::INST_PATTERN_LIST, {pattern});
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Term quantpospx_pattern =
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tm.mkTerm(Kind::FORALL, {var_list, px, pattern_list});
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std::cout << "Made expression : " << quantpospx_pattern << std::endl;
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Term formula_pattern = tm.mkTerm(Kind::AND, {quantpospx_pattern, negpfive});
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slv.assertFormula(formula_pattern);
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std::cout << "Checking SAT after asserting " << formula_pattern << " to cvc5."
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<< std::endl;
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std::cout << "cvc5 should report unsat." << std::endl;
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std::cout << "Result from cvc5 is: " << slv.checkSat() << std::endl;
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return 0;
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}
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