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_3, x_3 will not drive a car. For all x_3, if x_3 sleeps, then x_3 is driving a car. There is at least one x_3 for which if x_3 were a soldier, then x_3 is sleeping. For all x_3, if x_3 drives a car, then x_3 is a soldier.
For all x_3, x_3 will not sleep can be inferred via the universal modus tollens rule. For all x_3, if x_3 sleeps, then x_3 is a soldier can be inferred via the universal transitivity rule. There is at least one x_3 for which if x_3 were a soldier, then x_3 is driving a car can be inferred via the existential transitivity rule. There is at least one x_3 for which if x_3 drives a car, then x_3 is sleeping can be inferred via the existential transitivity rule.