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: There is at least one z for which z is a soldier or z will not drive a car. For all z, z will drive a car if and only if z will work. For all z, if z were a soldier, then z is working.
There is at least one z for which if z drives a car, then z is a soldier can be inferred via the existential rewriting rule. For all z, if z drives a car, then z is working can be inferred via the universal biconditional elimination rule. For all z, if z works, then z is driving a car can be inferred via the universal biconditional elimination rule.