Consider the following premises. If Jennifer were rich, then James is climbing a mountain. It is cloudy or Jennifer is rich. If it is cloudy, then James is climbing a mountain. Linda is not poor or it is sunny. James is not climbing a mountain or it is snowing. Can we infer the following from them? If we can, name the inference rule being used: It is snowing or it is sunny.
 From the fact that if it is cloudy, then James is climbing a mountain, that if Jennifer were rich, then James is climbing a mountain, and that it is cloudy or Jennifer is rich we can infer that James is climbing a mountain via disjunction elimination. From the fact that James is climbing a mountain we can infer that James is climbing a mountain or Linda is poor via addition. From the fact that James is climbing a mountain or Linda is poor, and that James is not climbing a mountain or it is snowing we can infer that Linda is poor or it is snowing via resolution. Finally, from the fact that Linda is poor or it is snowing, and that Linda is not poor or it is sunny we can infer that it is snowing or it is sunny via resolution. Therefore, the answer is yes.