Consider the following premises. For all x_7, if x_7 were a taxi driver, then x_7 is playing a game. There is at least one x_7 for which if x_7 were happy, then x_7 is a taxi driver. For all x_7, x_7 is an office clerk or x_7 is happy. For all x_7, x_7 will play a game or x_7 is not an office clerk. Can we infer the following from them? There is at least one x_7 for which x_7 will play a game.
 From the fact that for all x_7, x_7 will play a game or x_7 is not an office clerk we can infer that for all x_7, if x_7 were an office clerk, then x_7 is playing a game. From the fact that there is at least one x_7 for which if x_7 were happy, then x_7 is a taxi driver, and that for all x_7, if x_7 were a taxi driver, then x_7 is playing a game we can infer that there is at least one x_7 for which if x_7 were happy, then x_7 is playing a game. Finally, from the fact that for all x_7, if x_7 were an office clerk, then x_7 is playing a game, that there is at least one x_7 for which if x_7 were happy, then x_7 is playing a game, and that for all x_7, x_7 is an office clerk or x_7 is happy we can infer that there is at least one x_7 for which x_7 will play a game. Therefore, the answer is yes.