Consider the following premises. exists z: T(z) -> W_3(z). forall z: R(z). forall z: T(z) -> ~R(z). forall z: W_3(z) -> T(z). Can we infer exists z: ~W_3(z) from them?
 From forall z: T(z) -> ~R(z), forall z: R(z) we can infer forall z: ~T(z). From exists z: T(z) -> W_3(z), forall z: W_3(z) -> T(z) we can infer exists z: T(z) <-> W_3(z). Finally, from exists z: T(z) <-> W_3(z), forall z: ~T(z) we can infer exists z: ~W_3(z). Therefore, the answer is yes.