Consider the following premises. forall x_13: T_2(x_13) -> P_2(x_13). forall x_13: W_3(x_13) <-> P_2(x_13). forall x_13: P_2(x_13) -> T_2(x_13). forall x_13: P_12(x_13) <-> T_2(x_13). forall x_13: ~P_12(x_13). Can we infer exists x_13: W_3(x_13) from them?
 From forall x_13: T_2(x_13) -> P_2(x_13), forall x_13: P_2(x_13) -> T_2(x_13) we can infer forall x_13: T_2(x_13) <-> P_2(x_13). From forall x_13: P_12(x_13) <-> T_2(x_13) we can infer forall x_13: T_2(x_13) -> P_12(x_13). From forall x_13: T_2(x_13) -> P_12(x_13), forall x_13: ~P_12(x_13) we can infer forall x_13: ~T_2(x_13). From forall x_13: T_2(x_13) <-> P_2(x_13), forall x_13: ~T_2(x_13) we can infer forall x_13: ~P_2(x_13). Finally, from forall x_13: W_3(x_13) <-> P_2(x_13), forall x_13: ~P_2(x_13) we can infer forall x_13: ~W_3(x_13), which contradicts exists x_13: W_3(x_13). Therefore, the answer is no.