Consider the following premises. Robert is not a carpenter. Elisabeth is not sleeping. Elisabeth is sleeping if and only if Sarah is rich. Robert is a carpenter or Jessica is excited. Can we infer the following from them? Jessica is excited and Sarah is not rich.
 From the fact that Elisabeth is sleeping if and only if Sarah is rich, and that Elisabeth is not sleeping we can infer that Sarah is not rich. From the fact that Robert is a carpenter or Jessica is excited, and that Robert is not a carpenter we can infer that Jessica is excited. Finally, from the fact that Jessica is excited, and that Sarah is not rich we can infer that Jessica is excited and Sarah is not rich. Therefore, the answer is yes.