What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_9, x_9 will sleep if and only if x_9 will play a game. For all x_9, if x_9 plays a game, then x_9 is bored. There is at least one x_9 for which if x_9 were bored, then x_9 is sleeping.
There is at least one x_9 for which if x_9 plays a game, then x_9 is sleeping. For all x_9, if x_9 sleeps, then x_9 is playing a game. For all x_9, if x_9 plays a game, then x_9 is sleeping.