Consider the following premises. For all x_8, if x_8 reads a book, then x_8 is not sleeping. For all x_8, x_8 will sleep. For all x_8, if x_8 were a nurse, then x_8 is reading a book. There is at least one x_8 for which if x_8 writes a letter, then x_8 is a nurse. For all x_8, if x_8 reads a book, then x_8 is writing a letter. Can we infer the following from them? For all x_8, x_8 is a nurse.
 From the fact that for all x_8, if x_8 reads a book, then x_8 is writing a letter, and that there is at least one x_8 for which if x_8 writes a letter, then x_8 is a nurse we can infer that there is at least one x_8 for which if x_8 reads a book, then x_8 is a nurse. From the fact that for all x_8, if x_8 reads a book, then x_8 is not sleeping, and that for all x_8, x_8 will sleep we can infer that for all x_8, x_8 will not read a book. From the fact that for all x_8, if x_8 were a nurse, then x_8 is reading a book, and that there is at least one x_8 for which if x_8 reads a book, then x_8 is a nurse we can infer that there is at least one x_8 for which x_8 is a nurse if and only if x_8 will read a book. Finally, from the fact that there is at least one x_8 for which x_8 is a nurse if and only if x_8 will read a book, and that for all x_8, x_8 will not read a book we can infer that there is at least one x_8 for which x_8 is not a nurse, which contradicts that For all x_8, x_8 is a nurse. Therefore, the answer is no.