Consider the following premises. forall x_8: P_8(x_8) -> Q_8(x_8). forall x_8: P_8(x_8) or Q_7(x_8). forall x_8: Q_7(x_8) -> R_8(x_8). forall x_8: Q_8(x_8) -> R_8(x_8). forall x_8: U_4(x_8). Can we infer ~r from them?
We cannot infer that from the premises. Therefore the answer is no.