Consider the following premises. It is cold if and only if James is a sailor. It is cold. For all z_4, z_4 is not a sailor. Can we infer the following from them? It is late.
 From the fact that it is cold we can infer that it is cold or it is late. From the fact that for all z_4, z_4 is not a sailor we can infer that James is not a sailor. From the fact that it is cold if and only if James is a sailor, and that James is not a sailor we can infer that it is not cold. Finally, from the fact that it is cold or it is late, and that it is not cold we can infer that it is late. Therefore, the answer is yes. Notice, however, that the premises were contradictory, so we can infer anything from them.