Consider the following premises. For all x_5, x_5 will sleep. For all x_5, x_5 will not take a plane. For all x_5, x_5 is a doctor or x_5 will listen to a song. For all x_5, if x_5 were a doctor, then x_5 is taking a plane. Can we infer the following from them? For all x_5, x_5 will sleep and x_5 will listen to a song.
 From the fact that for all x_5, if x_5 were a doctor, then x_5 is taking a plane, and that for all x_5, x_5 will not take a plane we can infer that for all x_5, x_5 is not a doctor. From the fact that for all x_5, x_5 is a doctor or x_5 will listen to a song, and that for all x_5, x_5 is not a doctor we can infer that for all x_5, x_5 will listen to a song. Finally, from the fact that for all x_5, x_5 will sleep, and that for all x_5, x_5 will listen to a song we can infer that for all x_5, x_5 will sleep and x_5 will listen to a song. Therefore, the answer is yes.