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###############################################################################
# Top contributors (to current version):
# Alex Ozdemir
#
# This file is part of the cvc5 project.
#
# Copyright (c) 2009-2025 by the authors listed in the file AUTHORS
# in the top-level source directory and their institutional affiliations.
# All rights reserved. See the file COPYING in the top-level source
# directory for licensing information.
# #############################################################################
#
# A simple demonstration of reasoning about sets with cvc5.
##
from cvc5.pythonic import *
if __name__ == "__main__":
A, B, C = [Set(name, IntSort()) for name in "ABC"]
# holds
prove((A | B) & C == (A & C) | (B & C))
# holds
prove(IsSubset(EmptySet(IntSort()), A))
# x must be 2.
x = Int("x")
solve(
IsMember(
x,
(Singleton(IntVal(1)) | Singleton(IntVal(2)))
& (Singleton(IntVal(2)) | Singleton(IntVal(3))),
)
)
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