Consider the following premises. John is not playing tennis. If it is late, then it is not overcast. If Jessica listens to a song, then John is playing tennis. It is overcast. Can we infer the following from them? It is not late and Jessica is not listening to a song.
 From the fact that if it is late, then it is not overcast, and that it is overcast we can infer that it is not late. From the fact that if Jessica listens to a song, then John is playing tennis, and that John is not playing tennis we can infer that Jessica is not listening to a song. Finally, from the fact that it is not late, and that Jessica is not listening to a song we can infer that it is not late and Jessica is not listening to a song. Therefore, the answer is yes.