Consider the following premises. There is at least one x_8 for which x_8 is a server. For all x_8, x_8 is a scientist or x_8 will not go running. For all x_8, if x_8 were a server, then x_8 is reading a book. For all x_8, if x_8 reads a book, then x_8 is a scientist. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_8 for which x_8 is a scientist.
 From the fact that for all x_8, if x_8 were a server, then x_8 is reading a book, and that for all x_8, if x_8 reads a book, then x_8 is a scientist we can infer that for all x_8, if x_8 were a server, then x_8 is a scientist via universal transitivity. From the fact that there is at least one x_8 for which x_8 is a server we can infer that there is at least one x_8 for which x_8 is a server or x_8 will go running via existential addition. From the fact that for all x_8, x_8 is a scientist or x_8 will not go running we can infer that for all x_8, if x_8 goes running, then x_8 is a scientist via universal rewriting. Finally, from the fact that for all x_8, if x_8 were a server, then x_8 is a scientist, that for all x_8, if x_8 goes running, then x_8 is a scientist, and that there is at least one x_8 for which x_8 is a server or x_8 will go running we can infer that there is at least one x_8 for which x_8 is a scientist via existential disjunction elimination. Therefore, the answer is yes.