Consider the following premises. John is not running. Thomas is listening to a song if and only if John is running. Can we infer the following from them? Thomas is not listening to a song or it is cloudy.
 From the fact that Thomas is listening to a song if and only if John is running, and that John is not running we can infer that Thomas is not listening to a song. Finally, from the fact that Thomas is not listening to a song we can infer that Thomas is not listening to a song or it is cloudy. Therefore, the answer is yes.