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: forall x_13: P_5(x_13) <-> W_1(x_13). forall x_13: P_5(x_13) -> Q_5(x_13). forall x_13: ~Q_5(x_13). exists x_13: W_1(x_13) <-> U(x_13).
forall x_13: ~P_5(x_13) can be inferred via the universal modus tollens rule. forall x_13: P_5(x_13) -> W_1(x_13) can be inferred via the universal biconditional elimination rule. exists x_13: W_1(x_13) -> U(x_13) can be inferred via the existential biconditional elimination rule. forall x_13: W_1(x_13) -> P_5(x_13) can be inferred via the universal biconditional elimination rule. exists x_13: U(x_13) -> W_1(x_13) can be inferred via the existential biconditional elimination rule.