Consider the following premises. forall x_10: P_1(x_10) <-> T(x_10). forall x_10: ~T(x_10). forall x_10: ~P_10(x_10) or R(x_10). forall x_10: P(x_10). forall x_10: P_10(x_10) or P_1(x_10). Can we infer forall x_10: R(x_10) and P(x_10) from them?
 From forall x_10: P_10(x_10) or P_1(x_10), forall x_10: ~P_10(x_10) or R(x_10) we can infer forall x_10: P_1(x_10) or R(x_10). From forall x_10: P_1(x_10) <-> T(x_10), forall x_10: ~T(x_10) we can infer forall x_10: ~P_1(x_10). From forall x_10: P_1(x_10) or R(x_10), forall x_10: ~P_1(x_10) we can infer forall x_10: R(x_10). Finally, from forall x_10: R(x_10), forall x_10: P(x_10) we can infer forall x_10: R(x_10) and P(x_10). Therefore, the answer is yes.