Consider the following premises. exists x_14: P(x_14) and S(x_14). forall x_14: T_2(x_14) and Q_14(x_14). Can we infer forall x_14: ~P(x_14) from them?
 From forall x_14: T_2(x_14) and Q_14(x_14) we can infer forall x_14: T_2(x_14). From exists x_14: P(x_14) and S(x_14) we can infer exists x_14: P(x_14). From exists x_14: P(x_14), forall x_14: T_2(x_14) we can infer exists x_14: P(x_14) and T_2(x_14). Finally, from exists x_14: P(x_14) and T_2(x_14) we can infer exists x_14: P(x_14), which contradicts forall x_14: ~P(x_14). Therefore, the answer is no.