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35 lines
1019 B
Python
35 lines
1019 B
Python
###############################################################################
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# Top contributors (to current version):
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# Alex Ozdemir
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#
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# This file is part of the cvc5 project.
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#
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# Copyright (c) 2009-2025 by the authors listed in the file AUTHORS
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# in the top-level source directory and their institutional affiliations.
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# All rights reserved. See the file COPYING in the top-level source
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# directory for licensing information.
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# #############################################################################
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#
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# A simple demonstration of reasoning about sets with cvc5.
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##
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from cvc5.pythonic import *
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if __name__ == "__main__":
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A, B, C = [Set(name, IntSort()) for name in "ABC"]
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# holds
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prove((A | B) & C == (A & C) | (B & C))
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# holds
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prove(IsSubset(EmptySet(IntSort()), A))
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# x must be 2.
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x = Int("x")
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solve(
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IsMember(
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x,
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(Singleton(IntVal(1)) | Singleton(IntVal(2)))
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& (Singleton(IntVal(2)) | Singleton(IntVal(3))),
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)
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)
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