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_8, x_8 will play a game or x_8 is curious. For all x_8, x_8 is fast if and only if x_8 will play a game. For all x_8, x_8 will not cook. For all x_8, x_8 is fast if and only if x_8 will cook.
For all x_8, if x_8 were fast, then x_8 is playing a game can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 were fast, then x_8 is cooking can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 plays a game, then x_8 is fast can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 cooks, then x_8 is fast can be inferred via the universal biconditional elimination rule. For all x_8, x_8 is not fast can be inferred via the universal biconditional elimination rule.