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 Jessica plays tennis, then William is not sleeping. William is sleeping. If Karen plays a game, then Jessica is cooking. For all x_14, x_14 will cook if and only if x_14 will play tennis. If Jessica cooks, then Karen is playing a game.
Jessica is not playing tennis can be inferred via the modus tollens rule. For all x_14, if x_14 cooks, then x_14 is playing tennis can be inferred via the universal biconditional elimination rule. For all x_14, if x_14 plays tennis, then x_14 is cooking can be inferred via the universal biconditional elimination rule.