Consider the following premises. For all x_5, x_5 will not go running. For all x_5, x_5 will write a letter or x_5 will play tennis. For all x_5, if x_5 writes a letter, then x_5 is running. There is at least one x_5 for which if x_5 reads a book, then x_5 is not playing tennis. Can we infer the following from them? There is at least one x_5 for which x_5 will not read a book.
 From the fact that for all x_5, if x_5 writes a letter, then x_5 is running, and that for all x_5, x_5 will not go running we can infer that for all x_5, x_5 will not write a letter. From the fact that for all x_5, x_5 will write a letter or x_5 will play tennis, and that for all x_5, x_5 will not write a letter we can infer that for all x_5, x_5 will play tennis. Finally, from the fact that there is at least one x_5 for which if x_5 reads a book, then x_5 is not playing tennis, and that for all x_5, x_5 will play tennis we can infer that there is at least one x_5 for which x_5 will not read a book. Therefore, the answer is yes.