Consider the following premises. forall x_13: Q_13(x_13) -> Q_1(x_13). forall x_13: P_13(x_13) -> Q_1(x_13). exists x_13: ~P_5(x_13). forall x_13: P_13(x_13) or Q_13(x_13). forall x_13: P_5(x_13) or W(x_13). Can we infer forall x_13: ~(Q_1(x_13) and W(x_13)) from them?
 From forall x_13: P_13(x_13) -> Q_1(x_13), forall x_13: Q_13(x_13) -> Q_1(x_13), forall x_13: P_13(x_13) or Q_13(x_13) we can infer forall x_13: Q_1(x_13). From forall x_13: P_5(x_13) or W(x_13), exists x_13: ~P_5(x_13) we can infer exists x_13: W(x_13). Finally, from forall x_13: Q_1(x_13), exists x_13: W(x_13) we can infer exists x_13: Q_1(x_13) and W(x_13), which contradicts forall x_13: ~(Q_1(x_13) and W(x_13)). Therefore, the answer is no.