Consider the following premises. For all x_11, x_11 is a server or x_11 will work. There is at least one x_11 for which if x_11 were a server, then x_11 is playing a game. For all x_11, x_11 will play a game if and only if x_11 is poor. For all x_11, if x_11 works, then x_11 is playing a game. Can we infer the following from them? There is at least one x_11 for which x_11 is poor.
 From the fact that there is at least one x_11 for which if x_11 were a server, then x_11 is playing a game, that for all x_11, if x_11 works, then x_11 is playing a game, and that for all x_11, x_11 is a server or x_11 will work we can infer that there is at least one x_11 for which x_11 will play a game. From the fact that for all x_11, x_11 will play a game if and only if x_11 is poor we can infer that for all x_11, if x_11 plays a game, then x_11 is poor. Finally, from the fact that for all x_11, if x_11 plays a game, then x_11 is poor, and that there is at least one x_11 for which x_11 will play a game we can infer that there is at least one x_11 for which x_11 is poor. Therefore, the answer is yes.