What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all z, z is a carpenter if and only if z will play a game. For all z, z will play a game or z will make tea. For all z, z is not a carpenter. For all z, z will climb a mountain.
For all z, if z were a carpenter, then z is playing a game. For all z, if z plays a game, then z is a carpenter. For all z, z will not play a game.