Consider the following premises. For all x_9, x_9 will play squash. For all x_9, x_9 will work or x_9 will listen to a song. For all x_9, if x_9 works, then x_9 is not playing squash. For all x_9, x_9 will go running. Can we infer the following from them? If we can, name the inference rule being used: Charles is running.
 From the fact that for all x_9, if x_9 works, then x_9 is not playing squash, and that for all x_9, x_9 will play squash we can infer that for all x_9, x_9 will not work via universal modus tollens. From the fact that for all x_9, x_9 will work or x_9 will listen to a song, and that for all x_9, x_9 will not work we can infer that for all x_9, x_9 will listen to a song via universal disjunctive syllogism. From the fact that for all x_9, x_9 will listen to a song, and that for all x_9, x_9 will go running we can infer that for all x_9, x_9 will listen to a song and x_9 will go running via universal conjunction. From the fact that for all x_9, x_9 will listen to a song and x_9 will go running we can infer that Charles is listening to a song and Charles is running via universal instantiation. Finally, from the fact that Charles is listening to a song and Charles is running we can infer that Charles is running via simplification. Therefore, the answer is yes.