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 z_3, z_3 is not bored. For all z_3, z_3 is bored if and only if z_3 is a doctor. For all z_3, if z_3 cooks, then z_3 is a doctor. For all z_3, z_3 will not play a game or z_3 will play tennis. For all z_3, z_3 will play a game or z_3 will cook.
For all z_3, z_3 will cook or z_3 will play tennis can be inferred via the universal resolution rule. For all z_3, if z_3 were bored, then z_3 is a doctor can be inferred via the universal biconditional elimination rule. For all z_3, if z_3 were a doctor, then z_3 is bored can be inferred via the universal biconditional elimination rule. For all z_3, z_3 is not a doctor can be inferred via the universal biconditional elimination rule.