Consider the following premises. There is at least one x_13 for which x_13 is a server. For all x_13, x_13 is an astronaut if and only if x_13 is a server. Can we infer the following from them? There is at least one x_13 for which x_13 is an astronaut or x_13 will work.
 From the fact that for all x_13, x_13 is an astronaut if and only if x_13 is a server we can infer that for all x_13, if x_13 were a server, then x_13 is an astronaut. From the fact that for all x_13, if x_13 were a server, then x_13 is an astronaut, and that there is at least one x_13 for which x_13 is a server we can infer that there is at least one x_13 for which x_13 is an astronaut. Finally, from the fact that there is at least one x_13 for which x_13 is an astronaut we can infer that there is at least one x_13 for which x_13 is an astronaut or x_13 will work. Therefore, the answer is yes.