Consider the following premises. For all x_4, if x_4 climbs a mountain, then x_4 is a cashier. For all x_4, x_4 will not play squash. For all x_4, if x_4 plays a game, then x_4 is a cashier. For all x_4, x_4 will play squash or x_4 will climb a mountain. Can we infer the following from them? For all x_4, x_4 is a cashier.
 From the fact that for all x_4, x_4 will play squash or x_4 will climb a mountain, and that for all x_4, x_4 will not play squash we can infer that for all x_4, x_4 will climb a mountain. From the fact that for all x_4, x_4 will climb a mountain we can infer that for all x_4, x_4 will climb a mountain or x_4 will play a game. Finally, from the fact that for all x_4, if x_4 climbs a mountain, then x_4 is a cashier, that for all x_4, if x_4 plays a game, then x_4 is a cashier, and that for all x_4, x_4 will climb a mountain or x_4 will play a game we can infer that for all x_4, x_4 is a cashier. Therefore, the answer is yes.