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