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 y_4, if y_4 takes a plane, then y_4 is driving a car. There is at least one y_4 for which if y_4 drives a car, then y_4 is excited. For all y_4, if y_4 were excited, then y_4 is not playing a game. For all y_4, y_4 will play a game.
For all y_4, y_4 is not excited can be inferred via the universal modus tollens rule. There is at least one y_4 for which if y_4 takes a plane, then y_4 is excited can be inferred via the existential transitivity rule.