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_8 for which x_8 will play a game if and only if x_8 is bored. For all x_8, if x_8 were a cashier, then x_8 is bored. For all x_8, x_8 is not bored. For all x_8, if x_8 plays a game, then x_8 is a cashier.
For all x_8, x_8 is not a cashier can be inferred via the universal modus tollens rule. For all x_8, if x_8 plays a game, then x_8 is bored can be inferred via the universal transitivity rule. There is at least one x_8 for which if x_8 plays a game, then x_8 is bored can be inferred via the existential biconditional elimination rule. There is at least one x_8 for which if x_8 were bored, then x_8 is playing a game can be inferred via the existential biconditional elimination rule. There is at least one x_8 for which x_8 will not play a game can be inferred via the existential biconditional elimination rule.