Consider the following premises. forall x_7: P_2(x_7) or ~W(x_7). exists x_7: ~P_7(x_7) or W(x_7). forall x_7: P_7(x_7) or W_2(x_7). forall x_7: W_2(x_7) -> P_2(x_7). Can we infer forall x_7: ~P_2(x_7) from them?
 From forall x_7: P_7(x_7) or W_2(x_7), exists x_7: ~P_7(x_7) or W(x_7) we can infer exists x_7: W_2(x_7) or W(x_7). From forall x_7: P_2(x_7) or ~W(x_7) we can infer forall x_7: W(x_7) -> P_2(x_7). Finally, from forall x_7: W_2(x_7) -> P_2(x_7), forall x_7: W(x_7) -> P_2(x_7), exists x_7: W_2(x_7) or W(x_7) we can infer exists x_7: P_2(x_7), which contradicts forall x_7: ~P_2(x_7). Therefore, the answer is no.