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 plays a game, then x is bored. For all x, x is a carpenter if and only if x is bored. For all x, if x were bored, then x is playing a game. There is at least one x for which x will not play a game.
There is at least one x for which x is not bored. For all x, x will play a game if and only if x is bored. For all x, x is bored if and only if x will play a game. For all x, if x were a carpenter, then x is bored. For all x, if x were bored, then x is a carpenter.