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 x_6 is rich. For all x_6, if x_6 plays a game, then x_6 is a police officer. For all x_6, if x_6 were rich, then x_6 is playing a game. For all x_6, if x_6 makes tea, then x_6 is a police officer.
There is at least one x_6 for which x_6 will play a game can be inferred via the existential modus ponens rule. For all x_6, if x_6 were rich, then x_6 is a police officer can be inferred via the universal transitivity rule.