Consider the following premises. forall x_13: P_10(x_13) or T_4(x_13). forall x_13: ~P_10(x_13) or P_13(x_13). forall x_13: T_4(x_13) <-> W(x_13). forall x_13: P_13(x_13) <-> W(x_13). Can we infer exists x_13: ~(W(x_13) or S_2(x_13)) from them?
 From forall x_13: P_13(x_13) <-> W(x_13) we can infer forall x_13: P_13(x_13) -> W(x_13). From forall x_13: P_10(x_13) or T_4(x_13), forall x_13: ~P_10(x_13) or P_13(x_13) we can infer forall x_13: T_4(x_13) or P_13(x_13). From forall x_13: T_4(x_13) <-> W(x_13) we can infer forall x_13: T_4(x_13) -> W(x_13). From forall x_13: T_4(x_13) -> W(x_13), forall x_13: P_13(x_13) -> W(x_13), forall x_13: T_4(x_13) or P_13(x_13) we can infer forall x_13: W(x_13). Finally, from forall x_13: W(x_13) we can infer forall x_13: W(x_13) or S_2(x_13), which contradicts exists x_13: ~(W(x_13) or S_2(x_13)). Therefore, the answer is no.