What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x, if x climbs a mountain, then x is sleeping. There is at least one x for which x will play a game or x will climb a mountain. For all x, if x sleeps, then x is climbing a mountain. For all x, x will not play a game.
There is at least one x for which x will climb a mountain. For all x, x will climb a mountain if and only if x will sleep. For all x, x will sleep if and only if x will climb a mountain.