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#!/usr/bin/env python
###############################################################################
# Top contributors (to current version):
# Aina Niemetz, Gereon Kremer, 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 the transcendental extension.
##
import cvc5
from cvc5 import Kind
if __name__ == "__main__":
tm = cvc5.TermManager()
slv = cvc5.Solver(tm)
slv.setLogic("QF_NRAT")
real = tm.getRealSort()
# Variables
x = tm.mkConst(real, "x")
y = tm.mkConst(real, "y")
# Helper terms
two = tm.mkReal(2)
pi = tm.mkPi()
twopi = tm.mkTerm(Kind.MULT, two, pi)
ysq = tm.mkTerm(Kind.MULT, y, y)
sinx = tm.mkTerm(Kind.SINE, x)
# Formulas
x_gt_pi = tm.mkTerm(Kind.GT, x, pi)
x_lt_tpi = tm.mkTerm(Kind.LT, x, twopi)
ysq_lt_sinx = tm.mkTerm(Kind.LT, ysq, sinx)
slv.assertFormula(x_gt_pi)
slv.assertFormula(x_lt_tpi)
slv.assertFormula(ysq_lt_sinx)
print("cvc5 should report UNSAT")
print("Result from cvc5 is:", slv.checkSat())
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