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 poet if and only if z is bored. For all z, z is not a poet. For all z, z will play a game if and only if z is bored.
For all z, if z were a poet, then z is bored. For all z, if z plays a game, then z is bored. For all z, if z were bored, then z is a poet. For all z, if z were bored, then z is playing a game. For all z, z is not bored.