Consider the following premises. For all x_7, x_7 is a server if and only if x_7 is an astronaut. For all x_7, if x_7 were an astronaut, then x_7 is running. For all x_7, x_7 is a server. Can we infer the following from them? For all x_7, x_7 will go running.
 From the fact that for all x_7, x_7 is a server if and only if x_7 is an astronaut we can infer that for all x_7, if x_7 were a server, then x_7 is an astronaut. From the fact that for all x_7, if x_7 were a server, then x_7 is an astronaut, and that for all x_7, x_7 is a server we can infer that for all x_7, x_7 is an astronaut. Finally, from the fact that for all x_7, if x_7 were an astronaut, then x_7 is running, and that for all x_7, x_7 is an astronaut we can infer that for all x_7, x_7 will go running. Therefore, the answer is yes.