Consider the following premises. If it snows, then William is playing a game. If it doesn't snow, then it is overcast. If it is overcast, then Michael is playing tennis. If William plays a game, then it is sunny. It is not sunny. Can we infer the following from them? Michael is not playing tennis.
 From the fact that if it snows, then William is playing a game, and that if William plays a game, then it is sunny we can infer that if it snows, then it is sunny. From the fact that if it snows, then it is sunny, and that it is not sunny we can infer that it is not snowing. From the fact that if it doesn't snow, then it is overcast, and that it is not snowing we can infer that it is overcast. Finally, from the fact that if it is overcast, then Michael is playing tennis, and that it is overcast we can infer that Michael is playing tennis, which contradicts that Michael is not playing tennis. Therefore, the answer is no.