Consider the following premises. For all x_15, x_15 will work and x_15 will play a game. For all x_15, if x_15 were fast, then x_15 is not climbing a mountain. For all x_15, if x_15 works, then x_15 is an electrician. For all x_15, if x_15 were a server, then x_15 is fast. For all x_15, if x_15 were an electrician, then x_15 is climbing a mountain. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_15 for which x_15 is a server.
 From the fact that for all x_15, x_15 will work and x_15 will play a game we can infer that for all x_15, x_15 will work via universal simplification. From the fact that for all x_15, if x_15 works, then x_15 is an electrician, and that for all x_15, if x_15 were an electrician, then x_15 is climbing a mountain we can infer that for all x_15, if x_15 works, then x_15 is climbing a mountain via universal transitivity. From the fact that for all x_15, if x_15 works, then x_15 is climbing a mountain, and that for all x_15, x_15 will work we can infer that for all x_15, x_15 will climb a mountain via universal modus ponens. From the fact that for all x_15, if x_15 were fast, then x_15 is not climbing a mountain, and that for all x_15, x_15 will climb a mountain we can infer that for all x_15, x_15 is not fast via universal modus tollens. Finally, from the fact that for all x_15, if x_15 were a server, then x_15 is fast, and that for all x_15, x_15 is not fast we can infer that for all x_15, x_15 is not a server via universal modus tollens, which contradicts that There is at least one x_15 for which x_15 is a server. Therefore, the answer is no.