Consider the following premises. It is sunny or Jessica is a sailor. It is not sunny or it is windy. For all x_13, if x_13 writes a letter, then x_13 is drinking water. If Jessica were a sailor, then Mary is drinking water. If it is windy, then Mary is writing a letter. Can we infer the following from them? If we can, name the inference rule being used: Mary is drinking water.
 From the fact that for all x_13, if x_13 writes a letter, then x_13 is drinking water we can infer that if Mary writes a letter, then Mary is drinking water via universal instantiation. From the fact that it is sunny or Jessica is a sailor, and that it is not sunny or it is windy we can infer that Jessica is a sailor or it is windy via resolution. From the fact that if it is windy, then Mary is writing a letter, and that if Mary writes a letter, then Mary is drinking water we can infer that if it is windy, then Mary is drinking water via transitivity. Finally, from the fact that if Jessica were a sailor, then Mary is drinking water, that if it is windy, then Mary is drinking water, and that Jessica is a sailor or it is windy we can infer that Mary is drinking water via disjunction elimination. Therefore, the answer is yes.