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+/******************************************************************************
+ * Top contributors (to current version):
+ * Aina Niemetz, Liana Hadarean
+ *
+ * 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 solving capabilities of the CVC4
+ * bit-vector and array solvers.
+ *
+ */
+
+#include <cvc5/cvc5.h>
+
+#include <cmath>
+#include <iostream>
+
+using namespace std;
+using namespace cvc5::api;
+
+int main()
+{
+ Solver slv;
+ slv.setOption("produce-models", "true"); // Produce Models
+ slv.setOption("output-language", "smtlib"); // output-language
+ slv.setLogic("QF_AUFBV"); // Set the logic
+
+ // Consider the following code (where size is some previously defined constant):
+ //
+ //
+ // Assert (current_array[0] > 0);
+ // for (unsigned i = 1; i < k; ++i) {
+ // current_array[i] = 2 * current_array[i - 1];
+ // Assert (current_array[i-1] < current_array[i]);
+ // }
+ //
+ // We want to check whether the assertion in the body of the for loop holds
+ // throughout the loop.
+
+ // Setting up the problem parameters
+ unsigned k = 4; // number of unrollings (should be a power of 2)
+ unsigned index_size = log2(k); // size of the index
+
+
+ // Sorts
+ Sort elementSort = slv.mkBitVectorSort(32);
+ Sort indexSort = slv.mkBitVectorSort(index_size);
+ Sort arraySort = slv.mkArraySort(indexSort, elementSort);
+
+ // Variables
+ Term current_array = slv.mkConst(arraySort, "current_array");
+
+ // Making a bit-vector constant
+ Term zero = slv.mkBitVector(index_size, 0u);
+
+ // Asserting that current_array[0] > 0
+ Term current_array0 = slv.mkTerm(SELECT, current_array, zero);
+ Term current_array0_gt_0 = slv.mkTerm(
+ BITVECTOR_SGT, current_array0, slv.mkBitVector(32, 0u));
+ slv.assertFormula(current_array0_gt_0);
+
+ // Building the assertions in the loop unrolling
+ Term index = slv.mkBitVector(index_size, 0u);
+ Term old_current = slv.mkTerm(SELECT, current_array, index);
+ Term two = slv.mkBitVector(32, 2u);
+
+ std::vector<Term> assertions;
+ for (unsigned i = 1; i < k; ++i) {
+ index = slv.mkBitVector(index_size, i);
+ Term new_current = slv.mkTerm(BITVECTOR_MULT, two, old_current);
+ // current[i] = 2 * current[i-1]
+ current_array = slv.mkTerm(STORE, current_array, index, new_current);
+ // current[i-1] < current [i]
+ Term current_slt_new_current = slv.mkTerm(BITVECTOR_SLT, old_current, new_current);
+ assertions.push_back(current_slt_new_current);
+
+ old_current = slv.mkTerm(SELECT, current_array, index);
+ }
+
+ Term query = slv.mkTerm(NOT, slv.mkTerm(AND, assertions));
+
+ cout << "Asserting " << query << " to CVC4 " << endl;
+ slv.assertFormula(query);
+ cout << "Expect sat. " << endl;
+ cout << "CVC4: " << slv.checkSatAssuming(slv.mkTrue()) << endl;
+
+ // Getting the model
+ cout << "The satisfying model is: " << endl;
+ cout << " current_array = " << slv.getValue(current_array) << endl;
+ cout << " current_array[0] = " << slv.getValue(current_array0) << endl;
+ return 0;
+}
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