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_11: P(x_11) <-> S_11(x_11). p. ~P(a_11).
p and ~P(a_11) can be inferred via the conjunction rule. ~P(a_11) and p can be inferred via the conjunction rule. forall x_11: P(x_11) -> S_11(x_11) can be inferred via the universal biconditional elimination rule. forall x_11: S_11(x_11) -> P(x_11) can be inferred via the universal biconditional elimination rule.