Consider the following premises. For all x_8, x_8 is a server. For all x_8, x_8 is an electrician or x_8 will sleep. There is at least one x_8 for which if x_8 were a server, then x_8 is driving a car. For all x_8, x_8 is not an electrician. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_8 for which x_8 will sleep.
 From the fact that there is at least one x_8 for which if x_8 were a server, then x_8 is driving a car, and that for all x_8, x_8 is a server we can infer that there is at least one x_8 for which x_8 will drive a car via existential modus ponens. From the fact that for all x_8, x_8 is an electrician or x_8 will sleep, and that for all x_8, x_8 is not an electrician we can infer that for all x_8, x_8 will sleep via universal disjunctive syllogism. From the fact that for all x_8, x_8 will sleep, and that there is at least one x_8 for which x_8 will drive a car we can infer that there is at least one x_8 for which x_8 will sleep and x_8 will drive a car via existential conjunction. Finally, from the fact that there is at least one x_8 for which x_8 will sleep and x_8 will drive a car we can infer that there is at least one x_8 for which x_8 will sleep via existential simplification. Therefore, the answer is yes.