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 will play a game if and only if z will go running. For all z, if z plays a game, then z is not writing a letter. For all z, z will write a letter.
For all z, z will not play a game. For all z, if z plays a game, then z is running. For all z, if z goes running, then z is playing a game.