Consider the following premises. For all x_21, x_21 will play a game or x_21 is fast. For all x_21, if x_21 plays a game, then x_21 is happy. For all x_21, if x_21 were fast, then x_21 is happy. For all x_21, x_21 is happy if and only if x_21 is an office clerk. Can we infer the following from them? Charles is not an office clerk.
 From the fact that for all x_21, if x_21 plays a game, then x_21 is happy, that for all x_21, if x_21 were fast, then x_21 is happy, and that for all x_21, x_21 will play a game or x_21 is fast we can infer that for all x_21, x_21 is happy. From the fact that for all x_21, x_21 is happy if and only if x_21 is an office clerk we can infer that for all x_21, if x_21 were happy, then x_21 is an office clerk. Finally, from the fact that for all x_21, if x_21 were happy, then x_21 is an office clerk, and that for all x_21, x_21 is happy we can infer that for all x_21, x_21 is an office clerk, which contradicts that Charles is not an office clerk. Therefore, the answer is no.