Consider the following premises. If Linda were bored, then Karen is a lawyer. If Sarah takes a plane, then Karen is a lawyer. If it is overcast, then Sarah is taking a plane. For all y, y is not bored. If Karen were a lawyer, then Linda is bored. Can we infer the following from them? It is overcast.
 From the fact that for all y, y is not bored we can infer that Linda is not bored. From the fact that if Linda were bored, then Karen is a lawyer, and that if Karen were a lawyer, then Linda is bored we can infer that Linda is bored if and only if Karen is a lawyer. From the fact that Linda is bored if and only if Karen is a lawyer, and that Linda is not bored we can infer that Karen is not a lawyer. From the fact that if Sarah takes a plane, then Karen is a lawyer, and that Karen is not a lawyer we can infer that Sarah is not taking a plane. Finally, from the fact that if it is overcast, then Sarah is taking a plane, and that Sarah is not taking a plane we can infer that it is not overcast, which contradicts that It is overcast. Therefore, the answer is no.