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: If it is cloudy, then Mary is driving a car. For all x_10, if x_10 cooks, then x_10 is driving a car. For all x_10, if x_10 drives a car, then x_10 is cooking. It is cloudy or Mary is cooking.
If Mary listens to a song, then it is cloudy can be inferred via the rewriting rule. For all x_10, x_10 will cook if and only if x_10 will drive a car can be inferred via the universal biconditional introduction rule. For all x_10, x_10 will drive a car if and only if x_10 will cook can be inferred via the universal biconditional introduction rule.