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from z3 import *
s = Solver()
bv_size = 4
a, b = BitVecs('a b', bv_size)
x = BitVec('x', bv_size)
lhs,rhs = BitVecs('lhs rhs', bv_size)
s.add(lhs == ((x+a)^b)-a)
s.add(rhs == ((x-a)^b)+a)
s.push()
s.add(ForAll(x, lhs == rhs))
# enumerate all possible solutions:
results=[]
while True:
if s.check() == sat:
m = s.model()
print (m)
results.append(m)
block = []
block = [a != m[a].as_long(), b != m[b].as_long()]
s.add(Or(block))
else:
print ("results total=", len(results))
break
#print(s.sexpr())
s.pop()
s.add(Exists(x, lhs != rhs))
result = s.check()
print(result)
if result == sat:
print(f"Example where lhs != rhs: {s.model()}")