Consider the following premises. Robert is writing a letter or Susan is working. It is raining. Robert is not writing a letter or Karen is taking a plane. If Susan works, then it is not overcast. It is overcast. Can we infer the following from them? It is raining and Karen is taking a plane.
 From the fact that Robert is writing a letter or Susan is working, and that Robert is not writing a letter or Karen is taking a plane we can infer that Susan is working or Karen is taking a plane. From the fact that if Susan works, then it is not overcast, and that it is overcast we can infer that Susan is not working. From the fact that Susan is working or Karen is taking a plane, and that Susan is not working we can infer that Karen is taking a plane. Finally, from the fact that it is raining, and that Karen is taking a plane we can infer that it is raining and Karen is taking a plane. Therefore, the answer is yes.