Consider the following premises. forall x_6: ~P_6(x_6). exists x_6: P_6(x_6) or S_1(x_6). forall x_6: S(x_6). Can we infer exists x_6: S(x_6) from them?
 From exists x_6: P_6(x_6) or S_1(x_6), forall x_6: ~P_6(x_6) we can infer exists x_6: S_1(x_6). From exists x_6: S_1(x_6), forall x_6: S(x_6) we can infer exists x_6: S_1(x_6) and S(x_6). Finally, from exists x_6: S_1(x_6) and S(x_6) we can infer exists x_6: S(x_6). Therefore, the answer is yes.