What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all z_4, z_4 will not play a game. For all z_4, z_4 will play a game if and only if z_4 will cook. For all z_4, z_4 will cook if and only if z_4 will play a game.
For all z_4, if z_4 plays a game, then z_4 is cooking. For all z_4, if z_4 cooks, then z_4 is playing a game. For all z_4, if z_4 cooks, then z_4 is playing a game. For all z_4, if z_4 plays a game, then z_4 is cooking. For all z_4, z_4 will not cook. For all z_4, z_4 will not cook.