int main() {
/* (assert(= x_0 0)) */
/* (assert(= x_18 (sin x_1))) */
/* (assert(= x_21 (cos x_2))) */
/* (assert(= x_22 (+ x_21 x_18))) */
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
opensmt_set_verbosity(ctx, 10);
opensmt_expr x_0 = opensmt_mk_unbounded_real_var(ctx, "x_0");
opensmt_expr x_1 = opensmt_mk_unbounded_real_var(ctx, "x_1");
opensmt_expr x_18 = opensmt_mk_unbounded_real_var(ctx, "x_18");
opensmt_expr x_21 = opensmt_mk_unbounded_real_var(ctx, "x_21");
opensmt_expr x_22 = opensmt_mk_unbounded_real_var(ctx, "x_22");
opensmt_expr zero = opensmt_mk_num(ctx, 0.0);
opensmt_expr assert_1 = opensmt_mk_eq(ctx, x_0, zero);
opensmt_expr assert_2 = opensmt_mk_eq(ctx, x_18, opensmt_mk_sin(ctx, x_1));
opensmt_expr assert_3 = opensmt_mk_eq(ctx, x_21, opensmt_mk_cos(ctx, x_1));
opensmt_expr assert_4 = opensmt_mk_eq(ctx, x_22, opensmt_mk_plus_2(ctx, x_21, x_18));
opensmt_assert(ctx, assert_1);
opensmt_assert(ctx, assert_2);
opensmt_assert(ctx, assert_3);
opensmt_assert(ctx, assert_4);
opensmt_result res = opensmt_check( ctx );
printf( "%s\n\n", res == l_false ? "unsat" : "sat" );
opensmt_del_context(ctx);
return 0;
}
int main() {
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
opensmt_set_precision (ctx, 0.001);
// Creating Exist Real variables
opensmt_expr x = opensmt_mk_real_var(ctx, "x" , 0, 8);
// Creating Forall Real variables
opensmt_expr y = opensmt_mk_forall_real_var(ctx, "y" , 0, 8.0);
// constants
opensmt_expr two = opensmt_mk_num(ctx, 2.0);
opensmt_expr five = opensmt_mk_num(ctx, 5.0);
opensmt_expr nine = opensmt_mk_num(ctx, 9.0);
// circle1 := (x-2)^2 + (y-2)^2 <= 9
opensmt_expr circle1 =
opensmt_mk_leq(ctx,
opensmt_mk_plus_2(ctx,
opensmt_mk_pow(ctx, opensmt_mk_minus(ctx, x, two), two),
opensmt_mk_pow(ctx, opensmt_mk_minus(ctx, y, two), two)),
nine);
// circle2 := (x-5)^2 + (y-5)^2 <= 9
opensmt_expr circle2 =
opensmt_mk_leq(ctx,
opensmt_mk_plus_2(ctx,
opensmt_mk_pow(ctx, opensmt_mk_minus(ctx, x, five), two),
opensmt_mk_pow(ctx, opensmt_mk_minus(ctx, y, five), two)),
nine);
opensmt_expr vars[] = {y};
opensmt_expr formula = opensmt_mk_forall(ctx, vars, 1,
opensmt_mk_or_2(ctx, circle1, circle2));
opensmt_assert(ctx, formula);
opensmt_result res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
print_sol(ctx, "x", x);
}
// Deleting context
fprintf(stderr, "Deleting context\n");
opensmt_del_context(ctx);
return 0;
}