Consider the following premises. Linda is taking a plane and Robert is a musician. For all z, z will not take a plane. Can we infer the following from them? It is overcast.
 From the fact that for all z, z will not take a plane we can infer that Linda is not taking a plane. From the fact that Linda is taking a plane and Robert is a musician we can infer that Linda is taking a plane. From the fact that Linda is taking a plane we can infer that Linda is taking a plane or it is overcast. Finally, from the fact that Linda is taking a plane or it is overcast, and that Linda is not taking a plane we can infer that it is overcast. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.