Consider the following premises. For all x_3, if x_3 listens to a song, then x_3 is curious. For all x_3, x_3 will not sleep. For all x_3, if x_3 were curious, then x_3 is sleeping. There is at least one x_3 for which if x_3 sleeps, then x_3 is listening to a song. Can we infer the following from them? There is at least one x_3 for which x_3 will not listen to a song.
 From the fact that for all x_3, if x_3 listens to a song, then x_3 is curious, and that for all x_3, if x_3 were curious, then x_3 is sleeping we can infer that for all x_3, if x_3 listens to a song, then x_3 is sleeping. From the fact that for all x_3, if x_3 listens to a song, then x_3 is sleeping, and that there is at least one x_3 for which if x_3 sleeps, then x_3 is listening to a song we can infer that there is at least one x_3 for which x_3 will listen to a song if and only if x_3 will sleep. Finally, from the fact that there is at least one x_3 for which x_3 will listen to a song if and only if x_3 will sleep, and that for all x_3, x_3 will not sleep we can infer that there is at least one x_3 for which x_3 will not listen to a song. Therefore, the answer is yes.