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: Karen is a server if and only if Jessica is a carpenter. Karen is a server or Jessica is sleeping. For all x_10, if x_10 sleeps, then x_10 is a carpenter.
If Jessica climbs a mountain, then Karen is a server can be inferred via the rewriting rule. If Karen were a server, then Jessica is a carpenter can be inferred via the biconditional elimination rule. If Jessica were a carpenter, then Karen is a server can be inferred via the biconditional elimination rule.