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_8, if x_8 goes running, then x_8 is a taxi driver. For all x_8, if x_8 goes running, then x_8 is not driving a car. For all x_8, x_8 will drive a car. There is at least one x_8 for which if x_8 plays a game, then x_8 is running. For all x_8, if x_8 were a taxi driver, then x_8 is playing a game.
For all x_8, x_8 will not go running can be inferred via the universal modus tollens rule. For all x_8, if x_8 goes running, then x_8 is playing a game can be inferred via the universal transitivity rule. There is at least one x_8 for which if x_8 plays a game, then x_8 is a taxi driver can be inferred via the existential transitivity rule. There is at least one x_8 for which if x_8 were a taxi driver, then x_8 is running can be inferred via the existential transitivity rule.