Consider the following premises. forall x_15: P_15(x_15) or Q_3(x_15). forall x_15: ~Q_3(x_15). w_4 -> ~Q(d_2). forall x_15: ~P_15(x_15) or Q(x_15). Can we infer ~w_4 from them?
 From forall x_15: P_15(x_15) or Q_3(x_15), forall x_15: ~P_15(x_15) or Q(x_15) we can infer forall x_15: Q_3(x_15) or Q(x_15). From forall x_15: Q_3(x_15) or Q(x_15), forall x_15: ~Q_3(x_15) we can infer forall x_15: Q(x_15). From forall x_15: Q(x_15) we can infer Q(d_2). Finally, from w_4 -> ~Q(d_2), Q(d_2) we can infer ~w_4. Therefore, the answer is yes.