Consider the following premises. For all x_11, x_11 is a musician or x_11 is not fast. There is at least one x_11 for which x_11 is a server or x_11 is fast. For all x_11, if x_11 reads a book, then x_11 is not a musician. For all x_11, if x_11 were a server, then x_11 is a musician. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_11 for which x_11 will not read a book.
 From the fact that for all x_11, x_11 is a musician or x_11 is not fast we can infer that for all x_11, if x_11 were fast, then x_11 is a musician via universal rewriting. From the fact that for all x_11, if x_11 were a server, then x_11 is a musician, that for all x_11, if x_11 were fast, then x_11 is a musician, and that there is at least one x_11 for which x_11 is a server or x_11 is fast we can infer that there is at least one x_11 for which x_11 is a musician via existential disjunction elimination. Finally, from the fact that for all x_11, if x_11 reads a book, then x_11 is not a musician, and that there is at least one x_11 for which x_11 is a musician we can infer that there is at least one x_11 for which x_11 will not read a book via existential modus tollens. Therefore, the answer is yes.