Consider the following premises. For all x_5, if x_5 were an electrician, then x_5 is not a police officer. For all x_5, if x_5 were an electrician, then x_5 is listening to a song. For all x_5, if x_5 listens to a song, then x_5 is an electrician. For all x_5, x_5 is a police officer. Can we infer the following from them? There is at least one x_5 for which x_5 will listen to a song.
 From the fact that for all x_5, if x_5 were an electrician, then x_5 is listening to a song, and that for all x_5, if x_5 listens to a song, then x_5 is an electrician we can infer that for all x_5, x_5 is an electrician if and only if x_5 will listen to a song. From the fact that for all x_5, if x_5 were an electrician, then x_5 is not a police officer, and that for all x_5, x_5 is a police officer we can infer that for all x_5, x_5 is not an electrician. Finally, from the fact that for all x_5, x_5 is an electrician if and only if x_5 will listen to a song, and that for all x_5, x_5 is not an electrician we can infer that for all x_5, x_5 will not listen to a song, which contradicts that There is at least one x_5 for which x_5 will listen to a song. Therefore, the answer is no.