Consider the following premises. forall x_8: W_1(x_8) <-> R(x_8). forall x_8: P_4(x_8) <-> W_1(x_8). forall x_8: R(x_8) -> W_1(x_8). forall x_8: ~P_4(x_8). Can we infer exists x_8: R(x_8) from them?
 From forall x_8: W_1(x_8) <-> R(x_8) we can infer forall x_8: W_1(x_8) -> R(x_8). From forall x_8: P_4(x_8) <-> W_1(x_8), forall x_8: ~P_4(x_8) we can infer forall x_8: ~W_1(x_8). From forall x_8: R(x_8) -> W_1(x_8), forall x_8: W_1(x_8) -> R(x_8) we can infer forall x_8: R(x_8) <-> W_1(x_8). Finally, from forall x_8: R(x_8) <-> W_1(x_8), forall x_8: ~W_1(x_8) we can infer forall x_8: ~R(x_8), which contradicts exists x_8: R(x_8). Therefore, the answer is no.