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% EXPECT: unsat
OPTION "logic" "ALL";
OPTION "sets-ext";
IntPair: TYPE = [INT, INT];
x : SET OF IntPair;
y : SET OF IntPair;
r : SET OF IntPair;
t : SET OF [INT];
z : IntPair;
ASSERT z = (1,2);
zt : IntPair;
ASSERT zt = (2,1);
v : IntPair;
ASSERT v = (1,1);
a : IntPair;
ASSERT a = (1,5);
ASSERT (1, 7) IS_IN x;
ASSERT z IS_IN x;
ASSERT (7, 5) IS_IN y;
ASSERT t = (x JOIN_IMAGE 2);
ASSERT TUPLE(3) IS_IN (x JOIN_IMAGE 2);
ASSERT NOT(TUPLE(1) IS_IN (x JOIN_IMAGE 2));
ASSERT TUPLE(4) IS_IN (x JOIN_IMAGE 2);
ASSERT TUPLE(1) IS_IN (x JOIN_IMAGE 1);
CHECKSAT;
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