Consider the following premises. Richard is not fast or Thomas is a police officer. For all x_6, if x_6 were a carpenter, then x_6 is fast. For all x_6, x_6 is a carpenter. Can we infer the following from them? If we can, name the inference rule being used: Richard is excited or Thomas is a police officer.
 From the fact that for all x_6, if x_6 were a carpenter, then x_6 is fast, and that for all x_6, x_6 is a carpenter we can infer that for all x_6, x_6 is fast via universal modus ponens. From the fact that for all x_6, x_6 is fast we can infer that for all x_6, x_6 is fast or x_6 is excited via universal addition. From the fact that for all x_6, x_6 is fast or x_6 is excited we can infer that Richard is fast or Richard is excited via universal instantiation. Finally, from the fact that Richard is fast or Richard is excited, and that Richard is not fast or Thomas is a police officer we can infer that Richard is excited or Thomas is a police officer via resolution. Therefore, the answer is yes.