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_9, if x_9 drives a car, then x_9 is cooking. For all x_9, if x_9 cooks, then x_9 is driving a car. For all x_9, x_9 will drive a car or x_9 will work. For all x_9, if x_9 works, then x_9 is cooking. For all x_9, if x_9 cooks, then x_9 is bored.
For all x_9, if x_9 drives a car, then x_9 is bored can be inferred via the universal transitivity rule. For all x_9, if x_9 works, then x_9 is driving a car can be inferred via the universal transitivity rule. For all x_9, if x_9 works, then x_9 is bored can be inferred via the universal transitivity rule. For all x_9, x_9 will cook can be inferred via the universal disjunction elimination rule. For all x_9, x_9 will drive a car if and only if x_9 will cook can be inferred via the universal biconditional introduction rule. For all x_9, x_9 will cook if and only if x_9 will drive a car can be inferred via the universal biconditional introduction rule.