Consider the following premises. For all x_8, if x_8 listens to a song, then x_8 is drinking water. For all x_8, x_8 is an office clerk or x_8 is fast. For all x_8, x_8 is not an office clerk or x_8 will listen to a song. For all x_8, if x_8 were fast, 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: For all x_8, x_8 will drink water.
 From the fact that for all x_8, if x_8 were fast, 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 fast via universal modus tollens. From the fact that for all x_8, x_8 is an office clerk or x_8 is fast, and that for all x_8, x_8 is not an office clerk or x_8 will listen to a song we can infer that for all x_8, x_8 is fast or x_8 will listen to a song via universal resolution. From the fact that for all x_8, x_8 is fast or x_8 will listen to a song, and that for all x_8, x_8 is not fast we can infer that for all x_8, x_8 will listen to a song via universal disjunctive syllogism. Finally, from the fact that for all x_8, if x_8 listens to a song, then x_8 is drinking water, and that for all x_8, x_8 will listen to a song we can infer that for all x_8, x_8 will drink water via universal modus ponens. Therefore, the answer is yes.