Consider the following premises. For all x_14, if x_14 plays squash, then x_14 is driving a car. For all x_14, x_14 will play squash or x_14 will play a game. For all x_14, x_14 will not drive a car. Linda is cooking. Can we infer the following from them? If we can, name the inference rule being used: Mary is not playing a game.
 From the fact that for all x_14, if x_14 plays squash, then x_14 is driving a car, and that for all x_14, x_14 will not drive a car we can infer that for all x_14, x_14 will not play squash via universal modus tollens. Finally, from the fact that for all x_14, x_14 will play squash or x_14 will play a game, and that for all x_14, x_14 will not play squash we can infer that for all x_14, x_14 will play a game via universal disjunctive syllogism, which contradicts that Mary is not playing a game. Therefore, the answer is no.