Consider the following premises. exists x_15: W_3(x_15). forall x_15: P_15(x_15) <-> W_3(x_15). forall x_15: P_15(x_15) -> R_8(x_15). forall x_15: ~R_8(x_15). Can we infer forall x_15: ~Q_5(x_15) from them?
 From forall x_15: P_15(x_15) <-> W_3(x_15) we can infer forall x_15: W_3(x_15) -> P_15(x_15). From forall x_15: W_3(x_15) -> P_15(x_15), forall x_15: P_15(x_15) -> R_8(x_15) we can infer forall x_15: W_3(x_15) -> R_8(x_15). From exists x_15: W_3(x_15) we can infer exists x_15: W_3(x_15) or Q_5(x_15). From forall x_15: W_3(x_15) -> R_8(x_15), forall x_15: ~R_8(x_15) we can infer forall x_15: ~W_3(x_15). Finally, from exists x_15: W_3(x_15) or Q_5(x_15), forall x_15: ~W_3(x_15) we can infer exists x_15: Q_5(x_15), which contradicts forall x_15: ~Q_5(x_15). Therefore, the answer is no.