Consider the following premises. forall z_2: ~R(z_2). forall z_2: T(z_2) or W(z_2). forall z_2: R(z_2) or P(z_2). forall z_2: T(z_2) -> S(z_2). forall z_2: W(z_2) -> S(z_2). Can we infer ~S(a_2) from them?
 From forall z_2: R(z_2) or P(z_2), forall z_2: ~R(z_2) we can infer forall z_2: P(z_2). Finally, from forall z_2: T(z_2) -> S(z_2), forall z_2: W(z_2) -> S(z_2), forall z_2: T(z_2) or W(z_2) we can infer forall z_2: S(z_2), which contradicts ~S(a_2). Therefore, the answer is no.