Consider the following premises. It is sunny or William is not curious. William is curious or Jessica is sleeping. It is not sunny. Can we infer the following from them? If we can, name the inference rule being used: Jessica is sleeping.
 From the fact that it is sunny or William is not curious we can infer that if William were curious, then it is sunny via rewriting. From the fact that if William were curious, then it is sunny, and that it is not sunny we can infer that William is not curious via modus tollens. Finally, from the fact that William is curious or Jessica is sleeping, and that William is not curious we can infer that Jessica is sleeping via disjunctive syllogism. Therefore, the answer is yes.