Consider the following premises. For all x_12, x_12 is a scientist or x_12 is a writer. For all x_12, x_12 will read a book. There is at least one x_12 for which if x_12 were a scientist, then x_12 is not reading a book. Can we infer the following from them? There is at least one x_12 for which x_12 is a writer or x_12 is a nurse.
 From the fact that there is at least one x_12 for which if x_12 were a scientist, then x_12 is not reading a book, and that for all x_12, x_12 will read a book we can infer that there is at least one x_12 for which x_12 is not a scientist. From the fact that for all x_12, x_12 is a scientist or x_12 is a writer, and that there is at least one x_12 for which x_12 is not a scientist we can infer that there is at least one x_12 for which x_12 is a writer. Finally, from the fact that there is at least one x_12 for which x_12 is a writer we can infer that there is at least one x_12 for which x_12 is a writer or x_12 is a nurse. Therefore, the answer is yes.