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 y_3 for which y_3 is bored or y_3 will not drive a car. For all y_3, if y_3 were bored, then y_3 is a doctor. For all y_3, if y_3 were a doctor, then y_3 is driving a car.
For all y_3, if y_3 were bored, then y_3 is driving a car can be inferred via the universal transitivity rule. There is at least one y_3 for which if y_3 drives a car, then y_3 is bored can be inferred via the existential rewriting rule.