Consider the following premises. For all x_5, if x_5 plays tennis, then x_5 is drinking water. For all x_5, x_5 is a janitor. For all x_5, if x_5 sleeps, then x_5 is drinking water. For all x_5, if x_5 drives a car, then x_5 is sleeping. For all x_5, x_5 will drive a car or x_5 will play tennis. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 will drink water and x_5 is a janitor.
 From the fact that for all x_5, if x_5 drives a car, then x_5 is sleeping, and that for all x_5, if x_5 sleeps, then x_5 is drinking water we can infer that for all x_5, if x_5 drives a car, then x_5 is drinking water via universal transitivity. From the fact that for all x_5, if x_5 drives a car, then x_5 is drinking water, that for all x_5, if x_5 plays tennis, then x_5 is drinking water, and that for all x_5, x_5 will drive a car or x_5 will play tennis we can infer that for all x_5, x_5 will drink water via universal disjunction elimination. Finally, from the fact that for all x_5, x_5 will drink water, and that for all x_5, x_5 is a janitor we can infer that for all x_5, x_5 will drink water and x_5 is a janitor via universal conjunction. Therefore, the answer is yes.