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84 lines
2.4 KiB
C++
84 lines
2.4 KiB
C++
/******************************************************************************
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* Top contributors (to current version):
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* Aina Niemetz, Tim King, Haniel Barbosa
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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) 2009-2024 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 linear arithmetic solving capabilities and
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* the push pop of cvc5. This also gives an example option.
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*/
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#include <iostream>
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#include <cvc5/cvc5.h>
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using namespace std;
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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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slv.setLogic("QF_LIRA"); // Set the logic
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// Prove that if given x (Integer) and y (Real) then
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// the maximum value of y - x is 2/3
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// Sorts
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Sort real = tm.getRealSort();
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Sort integer = tm.getIntegerSort();
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// Variables
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Term x = tm.mkConst(integer, "x");
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Term y = tm.mkConst(real, "y");
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// Constants
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Term three = tm.mkInteger(3);
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Term neg2 = tm.mkInteger(-2);
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Term two_thirds = tm.mkReal(2, 3);
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// Terms
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Term three_y = tm.mkTerm(Kind::MULT, {three, y});
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Term diff = tm.mkTerm(Kind::SUB, {y, x});
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// Formulas
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Term x_geq_3y = tm.mkTerm(Kind::GEQ, {x, three_y});
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Term x_leq_y = tm.mkTerm(Kind::LEQ, {x, y});
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Term neg2_lt_x = tm.mkTerm(Kind::LT, {neg2, x});
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Term assertions = tm.mkTerm(Kind::AND, {x_geq_3y, x_leq_y, neg2_lt_x});
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cout << "Given the assertions " << assertions << endl;
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slv.assertFormula(assertions);
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slv.push();
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Term diff_leq_two_thirds = tm.mkTerm(Kind::LEQ, {diff, two_thirds});
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cout << "Prove that " << diff_leq_two_thirds << " with cvc5." << endl;
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cout << "cvc5 should report UNSAT." << endl;
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cout << "Result from cvc5 is: "
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<< slv.checkSatAssuming(diff_leq_two_thirds.notTerm()) << endl;
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slv.pop();
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cout << endl;
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slv.push();
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Term diff_is_two_thirds = tm.mkTerm(Kind::EQUAL, {diff, two_thirds});
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slv.assertFormula(diff_is_two_thirds);
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cout << "Show that the assertions are consistent with " << endl;
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cout << diff_is_two_thirds << " with cvc5." << endl;
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cout << "cvc5 should report SAT." << endl;
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cout << "Result from cvc5 is: " << slv.checkSat() << endl;
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slv.pop();
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cout << "Thus the maximum value of (y - x) is 2/3."<< endl;
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return 0;
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}
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