Consider the following premises. For all x_9, x_9 will not play tennis or x_9 will play a game. For all x_9, x_9 is not a lawyer. Susan is not working. For all x_9, x_9 is a lawyer or x_9 will play tennis. Can we infer the following from them? If we can, name the inference rule being used: Susan is playing a game.
 From the fact that for all x_9, x_9 is a lawyer or x_9 will play tennis, and that for all x_9, x_9 is not a lawyer we can infer that for all x_9, x_9 will play tennis via universal disjunctive syllogism. From the fact that for all x_9, x_9 will play tennis we can infer that for all x_9, x_9 will play tennis or x_9 will work via universal addition. From the fact that for all x_9, x_9 will play tennis or x_9 will work, and that for all x_9, x_9 will not play tennis or x_9 will play a game we can infer that for all x_9, x_9 will work or x_9 will play a game via universal resolution. From the fact that for all x_9, x_9 will work or x_9 will play a game we can infer that Susan is working or Susan is playing a game via universal instantiation. Finally, from the fact that Susan is working or Susan is playing a game, and that Susan is not working we can infer that Susan is playing a game via disjunctive syllogism. Therefore, the answer is yes.