What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_12, if x_12 listens to a song, then x_12 is playing a game. For all x_12, if x_12 plays a game, then x_12 is a writer. There is at least one x_12 for which x_12 will listen to a song or x_12 is not a writer. For all x_12, if x_12 plays a game, then x_12 is listening to a song.
For all x_12, if x_12 listens to a song, then x_12 is a writer. There is at least one x_12 for which if x_12 were a writer, then x_12 is listening to a song. For all x_12, x_12 will listen to a song if and only if x_12 will play a game. For all x_12, x_12 will play a game if and only if x_12 will listen to a song.