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_10, x_10 will play a game if and only if x_10 is a carpenter. For all x_10, x_10 is a janitor or x_10 will play a game. For all x_10, x_10 is not a carpenter. For all x_10, x_10 is a server. For all x_10, x_10 is not a janitor or x_10 will go running.
For all x_10, x_10 will play a game or x_10 will go running can be inferred via the universal resolution rule. For all x_10, if x_10 plays a game, then x_10 is a carpenter can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 were a carpenter, then x_10 is playing a game can be inferred via the universal biconditional elimination rule. For all x_10, x_10 will not play a game can be inferred via the universal biconditional elimination rule.