Consider the following premises. For all x, if x sleeps, then x is an artist. For all x, if x were a police officer, then x is an astronaut. For all x, if x were an artist, then x is sleeping. For all x, x is a police officer. For all x, if x were an astronaut, then x is an artist. Can we infer the following from them? For all x, x will sleep.
 From the fact that for all x, if x were a police officer, then x is an astronaut, and that for all x, if x were an astronaut, then x is an artist we can infer that for all x, if x were a police officer, then x is an artist. From the fact that for all x, if x sleeps, then x is an artist, and that for all x, if x were an artist, then x is sleeping we can infer that for all x, x will sleep if and only if x is an artist. From the fact that for all x, x will sleep if and only if x is an artist we can infer that for all x, if x were an artist, then x is sleeping. From the fact that for all x, if x were a police officer, then x is an artist, and that for all x, if x were an artist, then x is sleeping we can infer that for all x, if x were a police officer, then x is sleeping. Finally, from the fact that for all x, if x were a police officer, then x is sleeping, and that for all x, x is a police officer we can infer that for all x, x will sleep. Therefore, the answer is yes.