Consider the following premises. For all y, y is not a musician. For all y, y will play tennis if and only if y is a musician. For all y, if y listens to a song, then y is playing tennis. Can we infer the following from them? For all y, y will not listen to a song.
 From the fact that for all y, y will play tennis if and only if y is a musician we can infer that for all y, if y plays tennis, then y is a musician. From the fact that for all y, if y listens to a song, then y is playing tennis, and that for all y, if y plays tennis, then y is a musician we can infer that for all y, if y listens to a song, then y is a musician. Finally, from the fact that for all y, if y listens to a song, then y is a musician, and that for all y, y is not a musician we can infer that for all y, y will not listen to a song. Therefore, the answer is yes.