Consider the following premises. For all x, x is a server if and only if x is poor. For all x, x is not a server. For all x, x will listen to a song if and only if x will climb a mountain. There is at least one x for which if x were poor, then x is climbing a mountain. For all x, if x climbs a mountain, then x is poor. Can we infer the following from them? There is at least one x for which x will not listen to a song.
 From the fact that for all x, x is a server if and only if x is poor we can infer that for all x, if x were poor, then x is a server. From the fact that there is at least one x for which if x were poor, then x is climbing a mountain, and that for all x, if x climbs a mountain, then x is poor we can infer that there is at least one x for which x is poor if and only if x will climb a mountain. From the fact that for all x, if x were poor, then x is a server, and that for all x, x is not a server we can infer that for all x, x is not poor. From the fact that there is at least one x for which x is poor if and only if x will climb a mountain, and that for all x, x is not poor we can infer that there is at least one x for which x will not climb a mountain. Finally, from the fact that for all x, x will listen to a song if and only if x will climb a mountain, and that there is at least one x for which x will not climb a mountain we can infer that there is at least one x for which x will not listen to a song. Therefore, the answer is yes.