Consider the following premises. There is at least one x_5 for which x_5 will sleep. For all x_5, x_5 is a nurse or x_5 will listen to a song. For all x_5, if x_5 were a nurse, then x_5 is driving a car. For all x_5, if x_5 listens to a song, then x_5 is a janitor. For all x_5, if x_5 drives a car, then x_5 is a janitor. Can we infer the following from them? Some janitors will sleep.
 From the fact that for all x_5, if x_5 were a nurse, then x_5 is driving a car, and that for all x_5, if x_5 drives a car, then x_5 is a janitor we can infer that for all x_5, if x_5 were a nurse, then x_5 is a janitor. From the fact that for all x_5, if x_5 were a nurse, then x_5 is a janitor, that for all x_5, if x_5 listens to a song, then x_5 is a janitor, and that for all x_5, x_5 is a nurse or x_5 will listen to a song we can infer that for all x_5, x_5 is a janitor. Finally, from the fact that for all x_5, x_5 is a janitor, and that there is at least one x_5 for which x_5 will sleep we can infer that some janitors will sleep. Therefore, the answer is yes.