Consider the following premises. For all x_5, x_5 is a soldier or x_5 will read a book. For all x_5, if x_5 goes running, then x_5 is not reading a book. For all x_5, x_5 is not an astronaut. For all x_5, if x_5 were a soldier, then x_5 is an astronaut. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, if x_5 goes running, then x_5 is not reading a book.
That is one of the premises. Therefore, the answer is yes.