Consider the following premises. For all x_8, x_8 will not play tennis. For all x_8, x_8 will take a plane. For all x_8, if x_8 takes a plane, then x_8 is playing squash. There is at least one x_8 for which x_8 will play tennis or x_8 is a server. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, either x_8 will play squash or x_8 is a server are not true.
 From the fact that there is at least one x_8 for which x_8 will play tennis or x_8 is a server, and that for all x_8, x_8 will not play tennis we can infer that there is at least one x_8 for which x_8 is a server via existential disjunctive syllogism. From the fact that for all x_8, if x_8 takes a plane, then x_8 is playing squash, and that for all x_8, x_8 will take a plane we can infer that for all x_8, x_8 will play squash via universal modus ponens. Finally, from the fact that for all x_8, x_8 will play squash, and that there is at least one x_8 for which x_8 is a server we can infer that there is at least one x_8 for which x_8 will play squash and x_8 is a server via existential conjunction, which contradicts that For all x_8, either x_8 will play squash or x_8 is a server are not true. Therefore, the answer is no.