Consider the following premises. For all x_1, x_1 is a police officer. For all x_1, x_1 is not a police officer or x_1 will read a book. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_1 for which neither x_1 is a musician nor x_1 will read a book.
 From the fact that for all x_1, x_1 is a police officer we can infer that for all x_1, x_1 is a police officer or x_1 is a musician via universal addition. Finally, from the fact that for all x_1, x_1 is a police officer or x_1 is a musician, and that for all x_1, x_1 is not a police officer or x_1 will read a book we can infer that for all x_1, x_1 is a musician or x_1 will read a book via universal resolution, which contradicts that There is at least one x_1 for which neither x_1 is a musician nor x_1 will read a book. Therefore, the answer is no.