Consider the following premises. For all x_5, if x_5 listens to a song, then x_5 is an astronaut. For all x_5, if x_5 were an astronaut, then x_5 is sleeping. For all x_5, x_5 will listen to a song or x_5 will not drink water. Can we infer the following from them? For all x_5, if x_5 drinks water, then x_5 is sleeping.
 From the fact that for all x_5, if x_5 listens to a song, then x_5 is an astronaut, and that for all x_5, if x_5 were an astronaut, then x_5 is sleeping we can infer that for all x_5, if x_5 listens to a song, then x_5 is sleeping. From the fact that for all x_5, x_5 will listen to a song or x_5 will not drink water we can infer that for all x_5, if x_5 drinks water, then x_5 is listening to a song. Finally, from the fact that for all x_5, if x_5 drinks water, 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 sleeping we can infer that for all x_5, if x_5 drinks water, then x_5 is sleeping. Therefore, the answer is yes.