Consider the following premises. For all x_3, x_3 is not excited. For all x_3, x_3 is curious. For all x_3, x_3 is not curious or x_3 will work. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_3 for which x_3 will not work.
 From the fact that for all x_3, x_3 is curious we can infer that for all x_3, x_3 is curious or x_3 is excited via universal addition. From the fact that for all x_3, x_3 is curious or x_3 is excited, and that for all x_3, x_3 is not curious or x_3 will work we can infer that for all x_3, x_3 is excited or x_3 will work via universal resolution. Finally, from the fact that for all x_3, x_3 is excited or x_3 will work, and that for all x_3, x_3 is not excited we can infer that for all x_3, x_3 will work via universal disjunctive syllogism, which contradicts that There is at least one x_3 for which x_3 will not work. Therefore, the answer is no.