Consider the following premises. For all x_8, x_8 is not excited. For all x_8, x_8 will not cook or x_8 is happy. For all x_8, x_8 is not an electrician or x_8 will cook. For all x_8, x_8 is an electrician or x_8 is excited. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_8 for which neither x_8 will listen to a song nor x_8 is happy.
 From the fact that for all x_8, x_8 is an electrician or x_8 is excited, and that for all x_8, x_8 is not an electrician or x_8 will cook we can infer that for all x_8, x_8 is excited or x_8 will cook via universal resolution. From the fact that for all x_8, x_8 is excited or x_8 will cook, and that for all x_8, x_8 is not excited we can infer that for all x_8, x_8 will cook via universal disjunctive syllogism. From the fact that for all x_8, x_8 will cook we can infer that for all x_8, x_8 will cook or x_8 will listen to a song via universal addition. Finally, from the fact that for all x_8, x_8 will cook or x_8 will listen to a song, and that for all x_8, x_8 will not cook or x_8 is happy we can infer that for all x_8, x_8 will listen to a song or x_8 is happy via universal resolution, which contradicts that There is at least one x_8 for which neither x_8 will listen to a song nor x_8 is happy. Therefore, the answer is no.