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: For all x_7, if x_7 were a police officer, then x_7 is playing a game. For all x_7, if x_7 plays a game, then x_7 is sleeping. For all x_7, if x_7 sleeps, then x_7 is a police officer. For all x_7, if x_7 sleeps, then x_7 is a police officer.
For all x_7, if x_7 were a police officer, then x_7 is sleeping can be inferred via the universal transitivity rule. For all x_7, if x_7 plays a game, then x_7 is a police officer can be inferred via the universal transitivity rule. For all x_7, if x_7 plays a game, then x_7 is a police officer can be inferred via the universal transitivity rule. For all x_7, if x_7 sleeps, then x_7 is playing a game can be inferred via the universal transitivity rule. For all x_7, if x_7 sleeps, then x_7 is playing a game can be inferred via the universal transitivity rule.