What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Linda is listening to a song if and only if it is raining. It is cloudy if and only if Linda is listening to a song. Sarah is not playing a game. It is cloudy if and only if Sarah is playing a game.
If Linda listens to a song, then it is raining. If it is cloudy, then Linda is listening to a song. If it is cloudy, then Sarah is playing a game. If it rains, then Linda is listening to a song. If Linda listens to a song, then it is cloudy. If Sarah plays a game, then it is cloudy. It is not cloudy.