Consider the following premises. Jennifer is making tea or Richard is a carpenter. It is not overcast. Thomas is playing tennis if and only if Richard is a carpenter. Thomas is playing tennis if and only if it is overcast. Jennifer is not making tea or Jessica is a mechanic. Can we infer the following from them? If we can, name the inference rule being used: Jessica is not a mechanic.
 From the fact that Thomas is playing tennis if and only if it is overcast, and that it is not overcast we can infer that Thomas is not playing tennis via biconditional elimination. From the fact that Jennifer is making tea or Richard is a carpenter, and that Jennifer is not making tea or Jessica is a mechanic we can infer that Richard is a carpenter or Jessica is a mechanic via resolution. From the fact that Thomas is playing tennis if and only if Richard is a carpenter, and that Thomas is not playing tennis we can infer that Richard is not a carpenter via biconditional elimination. Finally, from the fact that Richard is a carpenter or Jessica is a mechanic, and that Richard is not a carpenter we can infer that Jessica is a mechanic via disjunctive syllogism, which contradicts that Jessica is not a mechanic. Therefore, the answer is no.