Consider the following premises. exists z_1: S(z_1) -> P_2(z_1). forall z_1: S(z_1) or ~W(z_1). forall z_1: ~P_2(z_1). Can we infer forall z_1: W(z_1) from them?
 From exists z_1: S(z_1) -> P_2(z_1), forall z_1: ~P_2(z_1) we can infer exists z_1: ~S(z_1). From forall z_1: S(z_1) or ~W(z_1) we can infer forall z_1: W(z_1) -> S(z_1). Finally, from forall z_1: W(z_1) -> S(z_1), exists z_1: ~S(z_1) we can infer exists z_1: ~W(z_1), which contradicts forall z_1: W(z_1). Therefore, the answer is no.