Consider the following premises. forall x_2: W(x_2) or T(x_2). forall x_2: ~W(x_2). exists x_2: P(x_2). Can we infer exists x_2: T(x_2) and P(x_2) from them?
 From forall x_2: W(x_2) or T(x_2), forall x_2: ~W(x_2) we can infer forall x_2: T(x_2). Finally, from forall x_2: T(x_2), exists x_2: P(x_2) we can infer exists x_2: T(x_2) and P(x_2). Therefore, the answer is yes.