Consider the following premises. For all x_10, if x_10 reads a book, then x_10 is excited. For all x_10, x_10 will cook. For all x_10, if x_10 were a server, then x_10 is excited. For all x_10, x_10 will go running or x_10 will read a book. There is at least one x_10 for which if x_10 goes running, then x_10 is a server. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_10 for which if x_10 goes running, then x_10 is a server.
That is one of the premises. Therefore, the answer is yes.