Consider the following premises. exists x_13: S_1(x_13) -> Q_1(x_13). forall x_13: Q_1(x_13) -> P_13(x_13). forall x_13: ~P_5(x_13). forall x_13: P_13(x_13) <-> S_1(x_13). forall x_13: P_5(x_13) <-> Q_1(x_13). Can we infer forall x_13: ~P_5(x_13) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.