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: exists x_10: R(x_10) <-> P_10(x_10). forall x_10: R(x_10) <-> U(x_10). forall x_10: Q_10(x_10). forall x_10: P_10(x_10) -> ~Q_10(x_10).
forall x_10: ~P_10(x_10) can be inferred via the universal modus tollens rule. forall x_10: R(x_10) -> U(x_10) can be inferred via the universal biconditional elimination rule. exists x_10: R(x_10) -> P_10(x_10) can be inferred via the existential biconditional elimination rule. forall x_10: U(x_10) -> R(x_10) can be inferred via the universal biconditional elimination rule. exists x_10: P_10(x_10) -> R(x_10) can be inferred via the existential biconditional elimination rule.