Consider the following premises. For all x_14, x_14 will go running. For all x_14, if x_14 goes running, then x_14 is sleeping. For all x_14, if x_14 sleeps, then x_14 is playing squash. Can we infer the following from them? If we can, name the inference rule being used: James is not playing squash.
 From the fact that for all x_14, if x_14 goes running, then x_14 is sleeping, and that for all x_14, x_14 will go running we can infer that for all x_14, x_14 will sleep via universal modus ponens. Finally, from the fact that for all x_14, if x_14 sleeps, then x_14 is playing squash, and that for all x_14, x_14 will sleep we can infer that for all x_14, x_14 will play squash via universal modus ponens, which contradicts that James is not playing squash. Therefore, the answer is no.