Consider the following premises. forall x_3: S(x_3) and Q_3(x_3). Can we infer exists x_3: ~(S(x_3) or S_1(x_3)) from them?
 From forall x_3: S(x_3) and Q_3(x_3) we can infer forall x_3: S(x_3). Finally, from forall x_3: S(x_3) we can infer forall x_3: S(x_3) or S_1(x_3), which contradicts exists x_3: ~(S(x_3) or S_1(x_3)). Therefore, the answer is no.