Consider the following premises. forall x_10: P_10(x_10) or Q_10(x_10). forall x_10: ~Q_5(x_10). exists x_10: R(x_10). forall x_10: Q_10(x_10) -> Q_5(x_10). forall x_10: ~P_10(x_10) or R_10(x_10). Can we infer exists x_10: R(x_10) from them? If possible, name the inference rules being used at each step.
That is one of the premises. Therefore, the answer is yes.