Consider the following premises. Robert is making tea. Jessica is not fast. Jessica is fast if and only if Robert is making tea. Can we infer the following from them? It is snowing.
 From the fact that Jessica is fast if and only if Robert is making tea, and that Jessica is not fast we can infer that Robert is not making tea. From the fact that Robert is making tea we can infer that Robert is making tea or it is snowing. Finally, from the fact that Robert is making tea or it is snowing, and that Robert is not making tea we can infer that it is snowing. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.