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, if x_5 drives a car, then x_5 is a police officer. There is at least one x_5 for which if x_5 works, then x_5 is a politician. For all x_5, if x_5 were a politician, then x_5 is driving a car. For all x_5, x_5 is not a police officer.
For all x_5, x_5 will not drive a car can be inferred via the universal modus tollens rule. For all x_5, if x_5 were a politician, then x_5 is a police officer can be inferred via the universal transitivity rule. There is at least one x_5 for which if x_5 works, then x_5 is driving a car can be inferred via the existential transitivity rule.