What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: There is at least one x_6 for which if x_6 were poor, then x_6 is a cashier. For all x_6, x_6 is poor or x_6 will not play a game. For all x_6, x_6 will play a game.
For all x_6, if x_6 plays a game, then x_6 is poor can be inferred via the universal rewriting rule.