Consider the following premises. There is at least one x_8 for which if x_8 were an artist, then x_8 is playing tennis. For all x_8, if x_8 drinks water, then x_8 is an artist. For all x_8, x_8 will not take a plane or x_8 will make tea. For all x_8, x_8 will take a plane. For all x_8, if x_8 makes tea, then x_8 is playing tennis. 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 play tennis.
 From the fact that for all x_8, x_8 will take a plane we can infer that for all x_8, x_8 will take a plane or x_8 will drink water via universal addition. From the fact that for all x_8, x_8 will take a plane or x_8 will drink water, and that for all x_8, x_8 will not take a plane or x_8 will make tea we can infer that for all x_8, x_8 will drink water or x_8 will make tea via universal resolution. From the fact that for all x_8, if x_8 drinks water, then x_8 is an artist, and that there is at least one x_8 for which if x_8 were an artist, then x_8 is playing tennis we can infer that there is at least one x_8 for which if x_8 drinks water, then x_8 is playing tennis via existential transitivity. Finally, from the fact that there is at least one x_8 for which if x_8 drinks water, then x_8 is playing tennis, that for all x_8, if x_8 makes tea, then x_8 is playing tennis, and that for all x_8, x_8 will drink water or x_8 will make tea we can infer that there is at least one x_8 for which x_8 will play tennis via existential disjunction elimination. Therefore, the answer is yes.