Consider the following premises. forall x_16: P_16(x_16) or T(x_16). forall x_16: P_2(x_16). exists x_16: ~P_16(x_16). forall x_16: Q_10(x_16). Can we infer exists x_16: T(x_16) and P_2(x_16) from them?
 From forall x_16: P_16(x_16) or T(x_16), exists x_16: ~P_16(x_16) we can infer exists x_16: T(x_16). From exists x_16: T(x_16), forall x_16: Q_10(x_16) we can infer exists x_16: T(x_16) and Q_10(x_16). From exists x_16: T(x_16) and Q_10(x_16) we can infer exists x_16: T(x_16). Finally, from exists x_16: T(x_16), forall x_16: P_2(x_16) we can infer exists x_16: T(x_16) and P_2(x_16). Therefore, the answer is yes.