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(int argc, char * argv[]) {
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
opensmt_set_precision (ctx, 0.001);
opensmt_expr x = opensmt_mk_real_var(ctx, "x" , -3.141592, 3.141592);
opensmt_expr y = opensmt_mk_real_var(ctx, "y" , -3.141592, 3.141592);
opensmt_expr eq1 = opensmt_mk_eq(ctx, opensmt_mk_sin(ctx, x), opensmt_mk_cos(ctx, y));
opensmt_assert(ctx, eq1);
opensmt_result res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
double const x_lb = opensmt_get_lb(ctx, x);
double const x_ub = opensmt_get_ub(ctx, x);
fprintf(stderr, "x = [%f, %f]\n", x_lb, x_ub);
double const y_lb = opensmt_get_lb(ctx, y);
double const y_ub = opensmt_get_ub(ctx, y);
fprintf(stderr, "y = [%f, %f]\n", y_lb, y_ub);
}
opensmt_expr eq2 = opensmt_mk_eq(ctx, opensmt_mk_tan(ctx, x), opensmt_mk_sin(ctx, y));
opensmt_assert(ctx, eq2);
res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
double const x_lb = opensmt_get_lb(ctx, x);
double const x_ub = opensmt_get_ub(ctx, x);
fprintf(stderr, "x = [%f, %f]\n", x_lb, x_ub);
double const y_lb = opensmt_get_lb(ctx, y);
double const y_ub = opensmt_get_ub(ctx, y);
fprintf(stderr, "y = [%f, %f]\n", y_lb, y_ub);
}
opensmt_del_context(ctx);
return 0;
}
// Test Memory Leaks
int main(int argc, char * argv[]) {
int i = 0;
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
opensmt_set_precision (ctx, 0.0000001);
opensmt_expr x = opensmt_mk_real_var(ctx, "a" , 0.0, 1.0);
opensmt_expr point1 = opensmt_mk_num(ctx, 0.1);
opensmt_expr point9 = opensmt_mk_num(ctx, 0.9);
opensmt_expr leq = opensmt_mk_leq(ctx, x, point1);
opensmt_expr geq = opensmt_mk_leq(ctx, x, point9);
opensmt_expr list[2] = {geq, leq};
opensmt_expr orr = opensmt_mk_or(ctx, list, 2);
opensmt_push(ctx);
opensmt_assert(ctx, orr);
opensmt_result res = opensmt_check( ctx );
/* printf( "%s\n\n", res == l_false ? "unsat" : "sat" ); */
/* fprintf(stderr, "=============\nbefore pop 2\n============\n"); */
opensmt_pop(ctx);
/* fprintf(stderr, "=============\nafter pop 2\n============\n"); */
opensmt_expr andd = opensmt_mk_and(ctx, list, 2);
opensmt_assert(ctx, andd);
opensmt_result res2 = opensmt_check( ctx );
/* fprintf( stderr, "6\n"); */
/* printf( "%s\n\n", res2 == l_false ? "unsat" : "sat" ); */
/* fprintf( stderr, "7\n"); */
opensmt_del_context(ctx);
return 0;
}
int main(int argc, char * argv[]) {
// Creating context
fprintf(stderr, "Creating context\n");
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
// Setting verbosity
opensmt_set_verbosity(ctx, 4);
// Creating integer variables
fprintf(stderr, "Creating some integer variables\n");
opensmt_expr x = opensmt_mk_int_var(ctx, "x" , -10, 10);
opensmt_expr y = opensmt_mk_int_var(ctx, "y" , -10, 10);
// numbers -- 2, 7, 10
opensmt_expr num2 = opensmt_mk_num_from_string(ctx, "2");
opensmt_expr num7 = opensmt_mk_num_from_string(ctx, "7");
opensmt_expr num10 = opensmt_mk_num_from_string(ctx, "10");
// t1 = x > 2
opensmt_expr t1 = opensmt_mk_gt(ctx, x, num2);
// t2 = y < 10
opensmt_expr t2 = opensmt_mk_lt(ctx, y, num10);
// t3 = 2 * y
opensmt_expr subarray1[2] = {num2, y};
opensmt_expr t3 = opensmt_mk_times(ctx, subarray1, 2);
// t4 = x + t3 == 7
opensmt_expr subarray2[2] = {x, t3};
opensmt_expr t4 = opensmt_mk_eq(ctx, opensmt_mk_plus(ctx, subarray2, 2), num7);
// t5 = t1 /\ t2 /\ t4
opensmt_expr subarray3[3] = {t1, t2, t4};
opensmt_expr t5 = opensmt_mk_and(ctx, subarray3, 3);
opensmt_assert(ctx, t5);
// Checking for consistency
fprintf(stderr, "\nChecking for consistency: ");
opensmt_result res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
print_sol(ctx, x, y);
}
// Resetting context
fprintf(stderr, "Resetting context\n");
opensmt_reset(ctx);
// Deleting context
fprintf(stderr, "Deleting context\n");
opensmt_del_context(ctx);
return 0;
}
int main() {
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra_ode);
opensmt_set_verbosity(ctx, 10);
opensmt_expr a = opensmt_mk_bool_var(ctx, "a");
opensmt_expr not_a = opensmt_mk_not(ctx, a);
opensmt_assert(ctx, a);
opensmt_assert(ctx, not_a);
assert(opensmt_check(ctx) == l_false);
opensmt_reset(ctx);
opensmt_assert(ctx, a);
assert(opensmt_check(ctx) == l_true);
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;
}
// Test Memory Leaks
int main() {
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
opensmt_expr x = opensmt_mk_unbounded_real_var(ctx, "x");
opensmt_expr zero = opensmt_mk_num(ctx, 0.0);
opensmt_expr leq = opensmt_mk_leq(ctx, zero, x);
opensmt_assert(ctx, leq);
opensmt_result res = opensmt_check( ctx );
if (res == l_true) {
double const x_lb = opensmt_get_lb(ctx, x);
double const x_ub = opensmt_get_ub(ctx, x);
printf("sat: x = [%f, %f]\n", x_lb, x_ub);
} else {
printf("unsat\n");
}
opensmt_del_context(ctx);
return 0;
}
int main(int argc, char * argv[]) {
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
opensmt_expr x = opensmt_mk_real_var(ctx, "x" , 0.0, 1.0);
opensmt_expr y = opensmt_mk_real_var(ctx, "y" , 0.0, 1.0);
opensmt_expr ite = opensmt_mk_ite(ctx, opensmt_mk_gt(ctx, x, opensmt_mk_num(ctx, 0.4)),
opensmt_mk_num(ctx, 0.3),
opensmt_mk_num(ctx, 0.4));
opensmt_expr eq = opensmt_mk_eq(ctx, y, ite);
opensmt_assert( ctx, eq);
opensmt_result res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
print_sol(ctx, x, y);
}
fprintf(stderr, "Deleting context\n");
opensmt_del_context(ctx);
return 0;
}
int main(int argc, char * argv[]) {
// Creating context
fprintf(stderr, "Creating context\n");
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
// Setting verbosity
opensmt_set_verbosity(ctx, 4);
// Creating boolean variables
fprintf(stderr, "Creating some boolean variables\n");
opensmt_expr a = opensmt_mk_bool_var(ctx, "a");
opensmt_expr b = opensmt_mk_bool_var(ctx, "b");
opensmt_expr c = opensmt_mk_bool_var(ctx, "c");
// Creating integer variables
fprintf(stderr, "Creating some integer variables\n");
opensmt_expr x = opensmt_mk_int_var(ctx, "x" , -10, 10);
opensmt_expr y = opensmt_mk_int_var(ctx, "y" , -10, 10);
opensmt_expr z = opensmt_mk_int_var(ctx, "z" , -10, 10);
// Creating inequality
fprintf(stderr, "Creating x - y <= 0\n");
fprintf(stderr, " Creating x - y\n");
opensmt_expr minus = opensmt_mk_minus(ctx, x, y);
fprintf(stderr, " Expression created: ");
opensmt_print_expr(minus);
fprintf(stderr, "\n");
fprintf(stderr, " Creating 0\n");
opensmt_expr zero = opensmt_mk_num_from_string(ctx, "0");
fprintf(stderr, " Expression created: ");
opensmt_print_expr(zero);
fprintf(stderr, "\n");
fprintf(stderr, " Creating x - y <= 0\n");
opensmt_expr leq = opensmt_mk_leq(ctx, minus, zero);
fprintf(stderr, " Expression created: ");
opensmt_print_expr(leq);
fprintf(stderr, "\n");
// Creating inequality 2
fprintf(stderr, "Creating y - z <= 0\n");
opensmt_expr minus2 = opensmt_mk_minus(ctx, y, z);
opensmt_expr leq2 = opensmt_mk_leq(ctx, minus2, zero);
fprintf(stderr, " Expression created: ");
opensmt_print_expr(leq2);
fprintf(stderr, "\n");
// Creating inequality 3
fprintf(stderr, "Creating z - x <= -1\n");
opensmt_expr minus3 = opensmt_mk_minus(ctx, z, x);
opensmt_expr mone = opensmt_mk_num_from_string(ctx, "-1");
opensmt_expr leq3 = opensmt_mk_leq(ctx, minus3, mone);
fprintf(stderr, " Expression created: ");
opensmt_print_expr(leq3);
fprintf(stderr, "\n");
// Creating inequality 4
fprintf(stderr, "Creating z - x <= 0\n");
opensmt_expr minus4 = opensmt_mk_minus(ctx, z, x);
opensmt_expr leq4 = opensmt_mk_leq(ctx, minus4, zero);
fprintf(stderr, " Expression created: ");
opensmt_print_expr(leq4);
fprintf(stderr, "\n");
// Asserting first inequality
fprintf(stderr, "Asserting ");
opensmt_print_expr(leq);
fprintf(stderr, "\n");
opensmt_assert(ctx, leq);
opensmt_push(ctx);
// Checking for consistency
fprintf(stderr, "\nChecking for consistency: ");
opensmt_result res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
print_sol(ctx, x, y, z);
}
// Asserting second inequality
fprintf(stderr, "Asserting ");
opensmt_print_expr(leq2);
fprintf(stderr, "\n");
opensmt_assert(ctx, leq2);
opensmt_push(ctx);
// Checking for consistency
fprintf(stderr, "\nChecking for consistency: ");
res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
print_sol(ctx, x, y, z);
}
// Asserting third inequality
fprintf(stderr, "Asserting ");
opensmt_print_expr(leq3);
fprintf(stderr, "\n");
opensmt_assert(ctx, leq3);
opensmt_push(ctx);
// Checking for consistency - it is UNSAT
fprintf(stderr, "\nChecking for consistency: ");
res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
print_sol(ctx, x, y, z);
}
// Backtracking one step - so the state is SAT again
opensmt_pop(ctx);
fprintf(stderr, "Backtracking one step\n\n");
// Asserting fourth inequality
fprintf(stderr, "Asserting ");
opensmt_print_expr(leq4);
fprintf(stderr, "\n");
opensmt_assert(ctx, leq4);
// Checking for consistency
fprintf(stderr, "\nChecking for consistency: ");
res = opensmt_check(ctx);
fprintf(stderr, "%s\n\n", res == l_false ? "unsat" : "sat");
if (res == l_true) {
print_sol(ctx, x, y, z);
}
// Resetting context
fprintf(stderr, "Resetting context\n");
opensmt_reset(ctx);
// Deleting context
fprintf(stderr, "Deleting context\n");
opensmt_del_context(ctx);
return 0;
}
// Related PR : https://github.com/dreal/DReal.jl/pull/23
int main(int argc, char * argv[]) {
opensmt_init();
opensmt_context ctx = opensmt_mk_context(qf_nra);
opensmt_expr a = opensmt_mk_bool_var( ctx, "a" );
opensmt_expr b = opensmt_mk_bool_var( ctx, "b" );
opensmt_expr c = opensmt_mk_bool_var( ctx, "c" );
/* # Creating integer variables */
opensmt_expr x = opensmt_mk_int_var( ctx, "x" , -100, 100);
opensmt_expr y = opensmt_mk_int_var( ctx, "y" , -100, 100);
opensmt_expr z = opensmt_mk_int_var( ctx, "z" , -100, 100);
/* # Creating inequality */
opensmt_expr minus = opensmt_mk_minus( ctx, x, y );
opensmt_expr zero = opensmt_mk_num_from_string( ctx, "0" );
opensmt_expr leq = opensmt_mk_leq( ctx, minus, zero );
/* # Creating inequality 2 */
opensmt_expr minus2 = opensmt_mk_minus( ctx, y, z );
opensmt_expr leq2 = opensmt_mk_leq( ctx, minus2, zero );
/* # Creating inequality 3 */
opensmt_expr minus3 = opensmt_mk_minus( ctx, z, x );
opensmt_expr mone = opensmt_mk_num_from_string( ctx, "-1" );
opensmt_expr leq3 = opensmt_mk_leq( ctx, minus3, mone );
/* # Creating inequality 4 */
opensmt_expr minus4 = opensmt_mk_minus( ctx, z, x );
opensmt_expr leq4 = opensmt_mk_leq( ctx, minus4, zero );
/* # Asserting first inequality */
opensmt_assert( ctx, leq ); /* ASSERT (e1) */
opensmt_push( ctx ); /* PUSH */
/* # Checking for consistency */
opensmt_result res = opensmt_check( ctx ); /* CHECK */
assert(res == l_true);
// # Asserting second inequality
opensmt_assert( ctx, leq2 ); /* ASSERT (e2) */
opensmt_push( ctx ); /* PUSH */
// # Checking for consistency
res = opensmt_check( ctx ); /* CHECK */
assert(res == l_true);
// # Asserting third inequality
opensmt_assert( ctx, leq3 ); /* ASSERT (e3)*/
opensmt_push( ctx ); /* PUSH */
// # Checking for consistency - it is UNSAT
res = opensmt_check( ctx ); /* CHECK */
assert(res == l_false);
/* # Backtracking one step - so the state is SAT again */
opensmt_pop( ctx ); /* POP */
/* # Asserting fourth inequality */
opensmt_assert( ctx, leq4 ); /* ASSERT (e4) */
/* # Checking for consistency */
res = opensmt_check( ctx ); /* CHECK */
assert(res == l_false);
res = opensmt_check( ctx ); /* CHECK */
assert(res == l_false);
opensmt_del_context(ctx);
return 0;
}