What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_3, x_3 will play a game if and only if x_3 will sleep. For all x_3, x_3 will play a game if and only if x_3 will sleep.
For all x_3, if x_3 plays a game, then x_3 is sleeping. For all x_3, if x_3 plays a game, then x_3 is sleeping. For all x_3, if x_3 sleeps, then x_3 is playing a game. For all x_3, if x_3 sleeps, then x_3 is playing a game.