Consider the following premises. Michael is not listening to a song. Michael is listening to a song or it is cloudy. For all y, y will play tennis. Can we infer the following from them? Karen is playing tennis or it is snowing.
 From the fact that for all y, y will play tennis we can infer that Karen is playing tennis. From the fact that Michael is listening to a song or it is cloudy, and that Michael is not listening to a song we can infer that it is cloudy. From the fact that Karen is playing tennis, and that it is cloudy we can infer that Karen is playing tennis and it is cloudy. From the fact that Karen is playing tennis and it is cloudy we can infer that Karen is playing tennis. Finally, from the fact that Karen is playing tennis we can infer that Karen is playing tennis or it is snowing. Therefore, the answer is yes.