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_6, if x_6 cooks, then x_6 is driving a car. There is at least one x_6 for which if x_6 works, then x_6 is cooking. For all x_6, if x_6 makes tea, then x_6 is working. For all x_6, x_6 will not drive a car.
For all x_6, x_6 will not cook can be inferred via the universal modus tollens rule. There is at least one x_6 for which if x_6 works, then x_6 is driving a car can be inferred via the existential transitivity rule. There is at least one x_6 for which if x_6 makes tea, then x_6 is cooking can be inferred via the existential transitivity rule.