Consider the following premises. There is at least one x_8 for which if x_8 plays tennis, then x_8 is not an electrician. For all x_8, x_8 is not a carpenter or x_8 is an electrician. For all x_8, x_8 is a carpenter or x_8 is a soldier. For all x_8, if x_8 were a soldier, then x_8 is not taking a plane. For all x_8, x_8 will take a plane. 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 not play tennis.
 From the fact that for all x_8, if x_8 were a soldier, then x_8 is not taking a plane, and that for all x_8, x_8 will take a plane we can infer that for all x_8, x_8 is not a soldier via universal modus tollens. From the fact that for all x_8, x_8 is a carpenter or x_8 is a soldier, and that for all x_8, x_8 is not a carpenter or x_8 is an electrician we can infer that for all x_8, x_8 is a soldier or x_8 is an electrician via universal resolution. From the fact that for all x_8, x_8 is a soldier or x_8 is an electrician, and that for all x_8, x_8 is not a soldier we can infer that for all x_8, x_8 is an electrician via universal disjunctive syllogism. Finally, from the fact that there is at least one x_8 for which if x_8 plays tennis, then x_8 is not an electrician, and that for all x_8, x_8 is an electrician we can infer that there is at least one x_8 for which x_8 will not play tennis via existential modus tollens. Therefore, the answer is yes.