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_8, x_8 is fast. For all x_8, if x_8 were a writer, then x_8 is cooking. There is at least one x_8 for which if x_8 drives a car, then x_8 is cooking. For all x_8, x_8 is a writer or x_8 will drive a car.
There is at least one x_8 for which x_8 will cook can be inferred via the existential disjunction elimination rule.