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_5, x_5 will play a game or x_5 is a janitor. There is at least one x_5 for which if x_5 were a janitor, then x_5 is a politician. For all x_5, if x_5 were an astronaut, then x_5 is a sailor. For all x_5, if x_5 were a politician, then x_5 is a sailor. For all x_5, if x_5 plays a game, then x_5 is an astronaut.
For all x_5, if x_5 plays a game, then x_5 is a sailor can be inferred via the universal transitivity rule. There is at least one x_5 for which if x_5 were a janitor, then x_5 is a sailor can be inferred via the existential transitivity rule.