Consider the following premises. forall x_13: ~Q_13(x_13). forall x_13: P_13(x_13) or Q_10(x_13). forall x_13: P_5(x_13) -> U_3(x_13). forall x_13: Q_10(x_13) -> P(x_13). forall x_13: P_5(x_13). forall x_13: P_13(x_13) -> Q_13(x_13). Can we infer forall x_13: P(x_13) and U_3(x_13) from them?
 From forall x_13: P_13(x_13) -> Q_13(x_13), forall x_13: ~Q_13(x_13) we can infer forall x_13: ~P_13(x_13). From forall x_13: P_13(x_13) or Q_10(x_13), forall x_13: ~P_13(x_13) we can infer forall x_13: Q_10(x_13). From forall x_13: P_5(x_13) -> U_3(x_13), forall x_13: P_5(x_13) we can infer forall x_13: U_3(x_13). From forall x_13: Q_10(x_13) -> P(x_13), forall x_13: Q_10(x_13) we can infer forall x_13: P(x_13). Finally, from forall x_13: P(x_13), forall x_13: U_3(x_13) we can infer forall x_13: P(x_13) and U_3(x_13). Therefore, the answer is yes.