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_12, x_12 is a doctor or x_12 is a soldier. There is at least one x_12 for which if x_12 were a soldier, then x_12 is driving a car. For all x_12, x_12 is a bartender or x_12 will not drive a car. For all x_12, if x_12 were a doctor, then x_12 is driving a car.
For all x_12, if x_12 drives a car, then x_12 is a bartender can be inferred via the universal rewriting rule. There is at least one x_12 for which x_12 will drive a car can be inferred via the existential disjunction elimination rule.