Consider the following premises. For all x_6, if x_6 plays squash, then x_6 is an office clerk. There is at least one x_6 for which if x_6 plays squash, then x_6 is playing a game. For all x_6, if x_6 plays a game, then x_6 is playing squash. For all x_6, x_6 is not an office clerk. Can we infer the following from them? There is at least one x_6 for which x_6 will not play a game.
 From the fact that for all x_6, if x_6 plays a game, then x_6 is playing squash, and that there is at least one x_6 for which if x_6 plays squash, then x_6 is playing a game we can infer that there is at least one x_6 for which x_6 will play a game if and only if x_6 will play squash. From the fact that for all x_6, if x_6 plays squash, then x_6 is an office clerk, and that for all x_6, x_6 is not an office clerk we can infer that for all x_6, x_6 will not play squash. Finally, from the fact that there is at least one x_6 for which x_6 will play a game if and only if x_6 will play squash, and that for all x_6, x_6 will not play squash we can infer that there is at least one x_6 for which x_6 will not play a game. Therefore, the answer is yes.