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, x_9 will play a game if and only if x_9 will sleep. There is at least one x_9 for which x_9 will play a game if and only if x_9 will go running. For all x_9, x_9 will go running or x_9 will sleep.
For all x_9, if x_9 plays a game, then x_9 is sleeping can be inferred via the universal biconditional elimination rule. There is at least one x_9 for which if x_9 plays a game, then x_9 is running can be inferred via the existential biconditional elimination rule. For all x_9, if x_9 sleeps, then x_9 is playing a game can be inferred via the universal biconditional elimination rule. There is at least one x_9 for which if x_9 goes running, then x_9 is playing a game can be inferred via the existential biconditional elimination rule.