Consider the following premises. For all x_1, if x_1 were a nurse, then x_1 is reading a book. There is at least one x_1 for which x_1 is a cashier. For all x_1, x_1 is a nurse. Can we infer the following from them? For all x_1, either x_1 is a cashier or x_1 will read a book are not true.
 From the fact that for all x_1, if x_1 were a nurse, then x_1 is reading a book, and that for all x_1, x_1 is a nurse we can infer that for all x_1, x_1 will read a book. Finally, from the fact that there is at least one x_1 for which x_1 is a cashier, and that for all x_1, x_1 will read a book we can infer that some cashiers will read a book, which contradicts that For all x_1, either x_1 is a cashier or x_1 will read a book are not true. Therefore, the answer is no.