Consider the following premises. forall y: P(y) -> T(y). forall y: U(y) -> W_3(y). forall y: W_3(y) -> U(y). forall y: ~T(y). forall y: U(y) <-> P(y). Can we infer forall y: U(y) <-> P(y) from them?
That is one of the premises. Therefore, the answer is yes.