/******************************************************************************
 * Top contributors (to current version):
 *   Andres Noetzli, Morgan Deters, Mudathir Mohamed
 *
 * This file is part of the cvc5 project.
 *
 * Copyright (c) 2009-2021 by the authors listed in the file AUTHORS
 * in the top-level source directory and their institutional affiliations.
 * All rights reserved.  See the file COPYING in the top-level source
 * directory for licensing information.
 * ****************************************************************************
 *
 * A simple demonstration of the C++ interface
 *
 * Compare to the Java interface in SimpleVC.java; they are virtually
 * line-by-line identical.
 */

#include <cvc5/cvc5.h>

#include <iostream>

using namespace cvc5::api;

int main() {
  Solver slv;

  // Prove that for integers x and y:
  //   x > 0 AND y > 0  =>  2x + y >= 3

  Sort integer = slv.getIntegerSort();

  Term x = slv.mkConst(integer, "x");
  Term y = slv.mkConst(integer, "y");
  Term zero = slv.mkInteger(0);

  Term x_positive = slv.mkTerm(Kind::GT, x, zero);
  Term y_positive = slv.mkTerm(Kind::GT, y, zero);

  Term two = slv.mkInteger(2);
  Term twox = slv.mkTerm(Kind::MULT, two, x);
  Term twox_plus_y = slv.mkTerm(Kind::PLUS, twox, y);

  Term three = slv.mkInteger(3);
  Term twox_plus_y_geq_3 = slv.mkTerm(Kind::GEQ, twox_plus_y, three);

  Term formula =
      slv.mkTerm(Kind::AND, x_positive, y_positive).impTerm(twox_plus_y_geq_3);

  std::cout << "Checking entailment of formula " << formula << " with CVC4."
            << std::endl;
  std::cout << "CVC4 should report ENTAILED." << std::endl;
  std::cout << "Result from CVC4 is: " << slv.checkEntailed(formula)
            << std::endl;

  return 0;
}