Consider the following premises. forall x_4: ~R_4(x_4) or R(x_4). forall x_4: ~Q_4(x_4) or R_2(x_4). forall x_4: P_4(x_4) or Q_4(x_4). forall x_4: ~P_4(x_4) or R_4(x_4). Can we infer forall x_4: R_2(x_4) or R(x_4) from them?
 From forall x_4: P_4(x_4) or Q_4(x_4), forall x_4: ~P_4(x_4) or R_4(x_4) we can infer forall x_4: Q_4(x_4) or R_4(x_4). From forall x_4: Q_4(x_4) or R_4(x_4), forall x_4: ~Q_4(x_4) or R_2(x_4) we can infer forall x_4: R_4(x_4) or R_2(x_4). Finally, from forall x_4: R_4(x_4) or R_2(x_4), forall x_4: ~R_4(x_4) or R(x_4) we can infer forall x_4: R_2(x_4) or R(x_4). Therefore, the answer is yes.