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% EXPECT: sat
OPTION "sets-ext";
OPTION "logic" "ALL_SUPPORTED";
IntPair: TYPE = [INT, INT];
x : SET OF IntPair;
y : SET OF IntPair;
r : SET OF IntPair;
t : SET OF [INT];
u : SET OF [INT];
univ : SET OF [INT];
z : IntPair;
ASSERT z = (1,2);
zt : IntPair;
ASSERT zt = (2,1);
s : IntPair;
ASSERT s = (1,1);
a : IntPair;
ASSERT a = (1,5);
b: INT;
ASSERT (1, 7) IS_IN x;
ASSERT z IS_IN x;
ASSERT (7, 5) IS_IN y;
ASSERT t = (x JOIN_IMAGE 2);
ASSERT univ = (x JOIN_IMAGE 0);
ASSERT TUPLE(100) IS_IN t;
ASSERT NOT (TUPLE(3) IS_IN univ);
ASSERT u = (x JOIN_IMAGE 1);
ASSERT TUPLE(4) IS_IN (x JOIN_IMAGE 2);
ASSERT TUPLE(b) IS_IN (x JOIN_IMAGE 1);
CHECKSAT;
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