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_3, if x_3 plays tennis, then x_3 is running. For all x_3, if x_3 goes running, then x_3 is playing tennis. For all x_3, x_3 will not go running.
For all x_3, x_3 will not play tennis can be inferred via the universal modus tollens rule. For all x_3, x_3 will play tennis if and only if x_3 will go running can be inferred via the universal biconditional introduction rule. For all x_3, x_3 will go running if and only if x_3 will play tennis can be inferred via the universal biconditional introduction rule.