Consider the following premises. If Charles makes tea, then James is sleeping. Charles is making tea or Jessica is a poet. James is not sleeping. Barbara is bored. Can we infer the following from them? If we can, name the inference rule being used: Jessica is not a poet.
 From the fact that if Charles makes tea, then James is sleeping, and that James is not sleeping we can infer that Charles is not making tea via modus tollens. Finally, from the fact that Charles is making tea or Jessica is a poet, and that Charles is not making tea we can infer that Jessica is a poet via disjunctive syllogism, which contradicts that Jessica is not a poet. Therefore, the answer is no.