Consider the following premises. For all x_17, x_17 is a police officer or x_17 is bored. There is at least one x_17 for which x_17 is bored if and only if x_17 is a nurse. For all x_17, if x_17 listens to a song, then x_17 is not a nurse. For all x_17, x_17 is not a police officer. Can we infer the following from them? There is at least one x_17 for which x_17 will not listen to a song.
 From the fact that there is at least one x_17 for which x_17 is bored if and only if x_17 is a nurse we can infer that there is at least one x_17 for which if x_17 were bored, then x_17 is a nurse. From the fact that for all x_17, x_17 is a police officer or x_17 is bored, and that for all x_17, x_17 is not a police officer we can infer that for all x_17, x_17 is bored. From the fact that there is at least one x_17 for which if x_17 were bored, then x_17 is a nurse, and that for all x_17, x_17 is bored we can infer that there is at least one x_17 for which x_17 is a nurse. Finally, from the fact that for all x_17, if x_17 listens to a song, then x_17 is not a nurse, and that there is at least one x_17 for which x_17 is a nurse we can infer that there is at least one x_17 for which x_17 will not listen to a song. Therefore, the answer is yes.