Consider the following premises. forall x_11: Q(x_11) and S_11(x_11). Can we infer ~Q(i_1) from them? If possible, name the inference rules being used at each step.
 From forall x_11: Q(x_11) and S_11(x_11) we can infer Q(i_1) and S_11(i_1) via universal instantiation. Finally, from Q(i_1) and S_11(i_1) we can infer Q(i_1) via simplification, which contradicts ~Q(i_1). Therefore, the answer is no.