Translate the following inference to logic notation: For all x, x_12 is an artist if and only if x_12 will listen to a song. William is a scientist if and only if Susan is listening to a song. For all x, y is not a scientist. Therefore Susan is not an artist.
forall x: P(x) <-> Q(x). R(a) <-> Q(b). forall x: ~R(x). Therefore ~P(b).