What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all y_3, y_3 will play a game if and only if y_3 is rich. For all y_3, y_3 is excited or y_3 will play a game. For all y_3, if y_3 were excited, then y_3 is rich.
For all y_3, if y_3 plays a game, then y_3 is rich. For all y_3, if y_3 were rich, then y_3 is playing a game.