Consider the following premises. It is late. It is not late. Can we infer the following from them? It is windy or Barbara is driving a car.
 From the fact that it is late we can infer that it is late or it is windy. From the fact that it is late or it is windy, and that it is not late we can infer that it is windy. Finally, from the fact that it is windy we can infer that it is windy or Barbara is driving a car. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.