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 if x_5 sleeps, then x_5 is a bartender. For all x_5, x_5 is a bartender if and only if x_5 is a soldier. For all x_5, x_5 is not a soldier. For all x_5, if x_5 were a bartender, then x_5 is sleeping.
There is at least one x_5 for which x_5 will sleep if and only if x_5 is a bartender can be inferred via the existential biconditional introduction rule. There is at least one x_5 for which x_5 is a bartender if and only if x_5 will sleep can be inferred via the existential biconditional introduction rule. For all x_5, if x_5 were a bartender, then x_5 is a soldier can be inferred via the universal biconditional elimination rule. For all x_5, if x_5 were a soldier, then x_5 is a bartender can be inferred via the universal biconditional elimination rule. For all x_5, x_5 is not a bartender can be inferred via the universal biconditional elimination rule.