# # print clauses
# print
# z3_formula = clauses_to_z3(clauses)
# print z3_formula
# print
# print
# f = clauses_to_z3(ivy_logic.to_clauses("[[p()],[~p()]]"))
# s = z3.Solver()
# s.add(f)
# print s.check() # should be unsat
# f1 = clauses_to_z3(ivy_logic.to_clauses("[[p()]]"))
# f2 = clauses_to_z3(ivy_logic.to_clauses("[[~p()]]"))
# s = z3.Solver()
# s.add(f1)
# s.add(f2)
# print s.check() # this is also unsat
# ivy_logic.add_symbol('p',ivy_logic.RelationSort([ivy_logic.universe]))
# cls = to_clauses("p(x) & ~p(y)")
# print clauses_model_to_clauses(cls)
s = ivy_logic.EnumeratedSort(["a", "b", "c"])
for c in s.defines():
t = add_symbol(c, s)
ivy_logic.sig.constructors.add(t)
add_symbol('f', ivy_logic.FunctionSort([ivy_logic.universe], s))
cls = to_clauses("f(x) = a & f(y) = b")
print clauses_model_to_clauses(cls)
# # print clauses
# print
# z3_formula = clauses_to_z3(clauses)
# print z3_formula
# print
# print
# f = clauses_to_z3(ivy_logic.to_clauses("[[p()],[~p()]]"))
# s = z3.Solver()
# s.add(f)
# print s.check() # should be unsat
# f1 = clauses_to_z3(ivy_logic.to_clauses("[[p()]]"))
# f2 = clauses_to_z3(ivy_logic.to_clauses("[[~p()]]"))
# s = z3.Solver()
# s.add(f1)
# s.add(f2)
# print s.check() # this is also unsat
# ivy_logic.add_symbol('p',ivy_logic.RelationSort([ivy_logic.universe]))
# cls = to_clauses("p(x) & ~p(y)")
# print clauses_model_to_clauses(cls)
s = ivy_logic.EnumeratedSort(["a", "b", "c"])
for c in s.defines():
t = add_symbol(c, s)
ivy_logic.sig.constructors.add(t)
add_symbol("f", ivy_logic.FunctionSort([ivy_logic.universe], s))
cls = to_clauses("f(x) = a & f(y) = b")
print clauses_model_to_clauses(cls)