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_7, x_7 is not a bartender. For all x_7, x_7 will sleep if and only if x_7 is a scientist. For all x_7, if x_7 sleeps, then x_7 is playing a game. For all x_7, x_7 is a bartender if and only if x_7 will play a game.
For all x_7, if x_7 sleeps, then x_7 is a scientist can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 were a bartender, then x_7 is playing a game can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 were a scientist, then x_7 is sleeping can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 plays a game, then x_7 is a bartender can be inferred via the universal biconditional elimination rule. For all x_7, x_7 will not play a game can be inferred via the universal biconditional elimination rule.