/*** * Bitwuzla: Satisfiability Modulo Theories (SMT) solver. * * Copyright (C) 2021 by the authors listed in the AUTHORS file at * https://github.com/bitwuzla/bitwuzla/blob/main/AUTHORS * * This file is part of Bitwuzla under the MIT license. See COPYING for more * information at https://github.com/bitwuzla/bitwuzla/blob/main/COPYING */ #include #include int main() { // First, create a term manager instance. BitwuzlaTermManager *tm = bitwuzla_term_manager_new(); // Create a Bitwuzla options instance. BitwuzlaOptions *options = bitwuzla_options_new(); // (set-option :produce-unsat-assumptions true) bitwuzla_set_option(options, BITWUZLA_OPT_PRODUCE_UNSAT_ASSUMPTIONS, 1); // Then, create a Bitwuzla instance. Bitwuzla *bitwuzla = bitwuzla_new(tm, options); // Create Boolean sort. BitwuzlaSort sortbool = bitwuzla_mk_bool_sort(tm); // Create a bit-vector sort of size 2. BitwuzlaSort sortbv2 = bitwuzla_mk_bv_sort(tm, 2); // Create a bit-vector sort of size 4. BitwuzlaSort sortbv4 = bitwuzla_mk_bv_sort(tm, 4); // Create Float16 floatinf-point sort. BitwuzlaSort sortfp16 = bitwuzla_mk_fp_sort(tm, 5, 11); // Create bit-vector variables. // (declare-const x0 (_ BitVec 4)) BitwuzlaTerm x0 = bitwuzla_mk_const(tm, sortbv4, "x0"); // (declare-const x1 (_ BitVec 2)) BitwuzlaTerm x1 = bitwuzla_mk_const(tm, sortbv2, "x1"); // (declare-const x2 (_ BitVec 2)) BitwuzlaTerm x2 = bitwuzla_mk_const(tm, sortbv2, "x2"); // (declare-const x3 (_ BitVec 2)) BitwuzlaTerm x3 = bitwuzla_mk_const(tm, sortbv2, "x3"); // (declare-const x4 Float16) BitwuzlaTerm x4 = bitwuzla_mk_const(tm, sortfp16, "x4"); // Create FP positive zero. BitwuzlaTerm fpzero = bitwuzla_mk_fp_pos_zero(tm, sortfp16); // Create BV zero of size 4. BitwuzlaTerm bvzero = bitwuzla_mk_bv_zero(tm, sortbv4); // (define-fun f0 ((a Float16)) Bool (fp.gt a (_ +zero 5 11))) BitwuzlaTerm a_f0 = bitwuzla_mk_var(tm, sortfp16, "a_f0"); BitwuzlaTerm f0 = bitwuzla_mk_term2( tm, BITWUZLA_KIND_LAMBDA, a_f0, bitwuzla_mk_term2(tm, BITWUZLA_KIND_FP_GT, a_f0, fpzero)); // (define-fun f1 ((a Float16)) (_ BitVec 4) (ite (f0 a) x0 #b0000)) BitwuzlaTerm a_f1 = bitwuzla_mk_var(tm, sortfp16, "a_f1"); BitwuzlaTerm f1 = bitwuzla_mk_term2( tm, BITWUZLA_KIND_LAMBDA, a_f1, bitwuzla_mk_term3(tm, BITWUZLA_KIND_ITE, bitwuzla_mk_term2(tm, BITWUZLA_KIND_APPLY, f0, a_f1), x0, bvzero)); // (define-fun f2 ((a Float16)) (_ BitVec 2) ((_ extract 1 0) (f1 a))) BitwuzlaTerm a_f2 = bitwuzla_mk_var(tm, sortfp16, "a_f2"); BitwuzlaTerm f2 = bitwuzla_mk_term2( tm, BITWUZLA_KIND_LAMBDA, a_f2, bitwuzla_mk_term1_indexed2( tm, BITWUZLA_KIND_BV_EXTRACT, bitwuzla_mk_term2(tm, BITWUZLA_KIND_APPLY, f1, a_f2), 1, 0)); // (assert (! (bvult x2 (f2 (_ +zero 5 11))) :named a0)) BitwuzlaTerm a0 = bitwuzla_mk_const(tm, sortbool, "a0"); BitwuzlaTerm assumption0 = bitwuzla_mk_term2(tm, BITWUZLA_KIND_BV_ULT, x2, bitwuzla_mk_term2(tm, BITWUZLA_KIND_APPLY, f2, fpzero)); bitwuzla_assert(bitwuzla, bitwuzla_mk_term2(tm, BITWUZLA_KIND_EQUAL, a0, assumption0)); // (assert (! (= x1 x2 x3) :named a1)) BitwuzlaTerm a1 = bitwuzla_mk_const(tm, sortbool, "a1"); BitwuzlaTerm assumption1 = bitwuzla_mk_term3(tm, BITWUZLA_KIND_EQUAL, x1, x2, x3); bitwuzla_assert(bitwuzla, bitwuzla_mk_term2(tm, BITWUZLA_KIND_EQUAL, a1, assumption1)); // (assert (!(= x4 ((_ to_fp_unsigned 5 11) RNE x3)) :named a2)) BitwuzlaTerm a2 = bitwuzla_mk_const(tm, sortbool, "a2"); BitwuzlaTerm assumption2 = bitwuzla_mk_term2( tm, BITWUZLA_KIND_EQUAL, x4, bitwuzla_mk_term2_indexed2(tm, BITWUZLA_KIND_FP_TO_FP_FROM_UBV, bitwuzla_mk_rm_value(tm, BITWUZLA_RM_RNE), x3, 5, 11)); bitwuzla_assert(bitwuzla, bitwuzla_mk_term2(tm, BITWUZLA_KIND_EQUAL, a2, assumption2)); BitwuzlaTerm assumptions[3] = {a0, a1, a2}; // (check-sat-assuming (assumption0 assumption1 assumption2)) BitwuzlaResult result = bitwuzla_check_sat_assuming(bitwuzla, 3, assumptions); printf("Expect: unsat\n"); printf("Bitwuzla: %s\n", bitwuzla_result_to_string(result)); // (get-unsat-assumptions) size_t unsat_assumptions_size; BitwuzlaTerm *unsat_assumptions = bitwuzla_get_unsat_assumptions(bitwuzla, &unsat_assumptions_size); printf("Unsat Assumptions: {"); for (uint32_t i = 0; i < unsat_assumptions_size; ++i) { printf(" %s", bitwuzla_term_to_string(unsat_assumptions[i])); } printf(" }\n"); // Finally, delete the Bitwuzla solver, options, and term manager instances. bitwuzla_delete(bitwuzla); bitwuzla_options_delete(options); bitwuzla_term_manager_delete(tm); return 0; }