Consider the following premises. For all x_1, x_1 is not a politician or x_1 is an artist. For all x_1, x_1 is a politician. 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 rich nor x_1 is an artist.
 From the fact that for all x_1, x_1 is a politician we can infer that for all x_1, x_1 is a politician or x_1 is rich via universal addition. Finally, from the fact that for all x_1, x_1 is a politician or x_1 is rich, and that for all x_1, x_1 is not a politician or x_1 is an artist we can infer that for all x_1, x_1 is rich or x_1 is an artist via universal resolution, which contradicts that There is at least one x_1 for which neither x_1 is rich nor x_1 is an artist. Therefore, the answer is no.