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: There is at least one x_5 for which x_5 will go running if and only if x_5 will play a game. For all x_5, x_5 will play a game.
There is at least one x_5 for which if x_5 goes running, then x_5 is playing a game can be inferred via the existential biconditional elimination rule. There is at least one x_5 for which if x_5 plays a game, then x_5 is running can be inferred via the existential biconditional elimination rule.