Consider the following premises. There is at least one x_5 for which x_5 is an artist. For all x_5, if x_5 were an artist, then x_5 is a taxi driver. For all x_5, x_5 is not a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_5 for which x_5 will take a plane.
 From the fact that there is at least one x_5 for which x_5 is an artist we can infer that there is at least one x_5 for which x_5 is an artist or x_5 will take a plane via existential addition. From the fact that for all x_5, if x_5 were an artist, then x_5 is a taxi driver, and that for all x_5, x_5 is not a taxi driver we can infer that for all x_5, x_5 is not an artist via universal modus tollens. Finally, from the fact that there is at least one x_5 for which x_5 is an artist or x_5 will take a plane, and that for all x_5, x_5 is not an artist we can infer that there is at least one x_5 for which x_5 will take a plane via existential disjunctive syllogism. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.