#include <iostream>
#include <sstream>
#include<vector>
#include"z3++.h"

using namespace z3;


/**
find values of expressions that satisfy the following ineaualities 
x >= 1 
y < x +3 
*/
 
int main(){
context c; 
expr  x  = c.int_const("x"); 
expr  y  = c.int_const("y"); 
//create a solver 
solver s(c); 
//adding the constraints
s.add(x >=1); 
s.add(y < x+3); 

std::cout << s.check() << "\n\n";

model m = s.get_model(); 
std::cout << m << "\n";

//traversing the model 
std::cout << "traversing the model" << "\n";
for (unsigned i =0; i < m.size(); i++){
	func_decl v = m[i];
	assert(v.arity() ==0);
	std::cout << v.name()<<"="<<m.get_const_interp(v) << "\n";
}
 
// evaluating the expressions in the model.
std::cout << "evaluating the expressions in the model" << "\n";
std::cout << "x+y+1= "<< m.eval(x+y+1)<<"\n";

return 0;  
} //end of function