Consider the following premises. forall x_7: ~P_7(x_7) or R_7(x_7). forall x_7: P_7(x_7) or Q_7(x_7). forall x_7: R_7(x_7) -> W_1(x_7). forall x_7: Q_1(x_7). forall x_7: Q_7(x_7) -> W_1(x_7). Can we infer exists x_7: ~Q_1(x_7) from them?
 From forall x_7: P_7(x_7) or Q_7(x_7), forall x_7: ~P_7(x_7) or R_7(x_7) we can infer forall x_7: Q_7(x_7) or R_7(x_7). From forall x_7: Q_7(x_7) -> W_1(x_7), forall x_7: R_7(x_7) -> W_1(x_7), forall x_7: Q_7(x_7) or R_7(x_7) we can infer forall x_7: W_1(x_7). From forall x_7: W_1(x_7), forall x_7: Q_1(x_7) we can infer forall x_7: W_1(x_7) and Q_1(x_7). Finally, from forall x_7: W_1(x_7) and Q_1(x_7) we can infer forall x_7: W_1(x_7), which contradicts exists x_7: ~Q_1(x_7). Therefore, the answer is no.