Consider the following premises. For all x_10, x_10 is an electrician or x_10 will climb a mountain. For all x_10, x_10 is not an electrician or x_10 will work. For all x_10, x_10 will listen to a song. For all x_10, if x_10 climbs a mountain, then x_10 is not listening to a song. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, x_10 will work or x_10 will make tea.
 From the fact that for all x_10, x_10 is an electrician or x_10 will climb a mountain, and that for all x_10, x_10 is not an electrician or x_10 will work we can infer that for all x_10, x_10 will climb a mountain or x_10 will work via universal resolution. From the fact that for all x_10, if x_10 climbs a mountain, then x_10 is not listening to a song, and that for all x_10, x_10 will listen to a song we can infer that for all x_10, x_10 will not climb a mountain via universal modus tollens. From the fact that for all x_10, x_10 will climb a mountain or x_10 will work, and that for all x_10, x_10 will not climb a mountain we can infer that for all x_10, x_10 will work via universal disjunctive syllogism. Finally, from the fact that for all x_10, x_10 will work we can infer that for all x_10, x_10 will work or x_10 will make tea via universal addition. Therefore, the answer is yes.