Consider the following premises. Richard is not a doctor. For all z, z is a doctor. Can we infer the following from them? It is windy.
 From the fact that for all z, z is a doctor we can infer that Richard is a doctor. From the fact that Richard is a doctor we can infer that Richard is a doctor or it is windy. Finally, from the fact that Richard is a doctor or it is windy, and that Richard is not a doctor we can infer that it is windy. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.