Consider the following premises. For all x_8, x_8 will play tennis. For all x_8, if x_8 plays a game, then x_8 is drinking water. For all x_8, if x_8 plays tennis, then x_8 is playing squash. For all x_8, x_8 will play a game. Can we infer the following from them? If we can, name the inference rule being used: Joseph is not playing squash.
 From the fact that for all x_8, if x_8 plays a game, then x_8 is drinking water, and that for all x_8, x_8 will play a game we can infer that for all x_8, x_8 will drink water via universal modus ponens. Finally, from the fact that for all x_8, if x_8 plays tennis, then x_8 is playing squash, and that for all x_8, x_8 will play tennis we can infer that for all x_8, x_8 will play squash via universal modus ponens, which contradicts that Joseph is not playing squash. Therefore, the answer is no.