Consider the following premises. For all x_4, if x_4 were poor, then x_4 is fast. There is at least one x_4 for which x_4 is not poor. For all x_4, if x_4 listens to a song, then x_4 is fast. For all x_4, if x_4 were fast, then x_4 is poor. Can we infer the following from them? For all x_4, x_4 will listen to a song.
 From the fact that for all x_4, if x_4 were poor, then x_4 is fast, and that for all x_4, if x_4 were fast, then x_4 is poor we can infer that for all x_4, x_4 is poor if and only if x_4 is fast. From the fact that for all x_4, x_4 is poor if and only if x_4 is fast, and that there is at least one x_4 for which x_4 is not poor we can infer that there is at least one x_4 for which x_4 is not fast. Finally, from the fact that for all x_4, if x_4 listens to a song, then x_4 is fast, and that there is at least one x_4 for which x_4 is not fast we can infer that there is at least one x_4 for which x_4 will not listen to a song, which contradicts that For all x_4, x_4 will listen to a song. Therefore, the answer is no.