Consider the following premises. forall x_16: ~P_16(x_16) or S_1(x_16). exists x_16: P_12(x_16) or ~U(x_16). forall x_16: P_12(x_16) -> S_2(x_16). forall x_16: P_16(x_16) or U(x_16). forall x_16: S_2(x_16) or ~S_1(x_16). Can we infer exists x_16: S_2(x_16) from them?
 From forall x_16: P_16(x_16) or U(x_16), forall x_16: ~P_16(x_16) or S_1(x_16) we can infer forall x_16: U(x_16) or S_1(x_16). From exists x_16: P_12(x_16) or ~U(x_16) we can infer exists x_16: U(x_16) -> P_12(x_16). From exists x_16: U(x_16) -> P_12(x_16), forall x_16: P_12(x_16) -> S_2(x_16) we can infer exists x_16: U(x_16) -> S_2(x_16). From forall x_16: S_2(x_16) or ~S_1(x_16) we can infer forall x_16: S_1(x_16) -> S_2(x_16). Finally, from exists x_16: U(x_16) -> S_2(x_16), forall x_16: S_1(x_16) -> S_2(x_16), forall x_16: U(x_16) or S_1(x_16) we can infer exists x_16: S_2(x_16). Therefore, the answer is yes.