#!/usr/bin/env python3
from z3 import *

x = Int('x')
y = Int('y')
print (simplify(x + y + 2*x + 3))
print (simplify(x < y + x + 2))
print (simplify(And(x + 1 >= 3, x**2 + x**2 + y**2 + 2 >= 5)))