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