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: T_3(x_10) -> P_10(x_10). forall x_10: W_3(x_10) -> T_3(x_10). forall x_10: ~P_10(x_10). forall x_10: P_10(x_10) -> T_3(x_10).
exists x_10: ~T_3(x_10) can be inferred via the existential modus tollens rule. exists x_10: W_3(x_10) -> P_10(x_10) can be inferred via the existential transitivity rule. exists x_10: T_3(x_10) <-> P_10(x_10) can be inferred via the existential biconditional introduction rule. exists x_10: P_10(x_10) <-> T_3(x_10) can be inferred via the existential biconditional introduction rule.