Translate the following inference to logic notation: There is at least one x for which y will not go running. For all x, y is an artist if and only if y will go running. For all x, y will go running or y is not an artist. Therefore there is at least one x for which y is not an artist.
exists x: ~P(x). forall x: Q(x) <-> P(x). forall x: P(x) or ~Q(x). Therefore exists x: ~Q(x).