Consider the following premises. forall x_11: ~P_6(x_11) or R(x_11). forall x_11: P_11(x_11) -> R(x_11). forall x_11: P_6(x_11) or T(x_11). forall x_11: R(x_11) -> P_11(x_11). forall x_11: P_11(x_11) <-> T(x_11). Can we infer forall x_11: P_11(x_11) from them?
 From forall x_11: P_11(x_11) <-> T(x_11) we can infer forall x_11: T(x_11) -> P_11(x_11). From forall x_11: P_11(x_11) -> R(x_11), forall x_11: R(x_11) -> P_11(x_11) we can infer forall x_11: P_11(x_11) <-> R(x_11). From forall x_11: P_6(x_11) or T(x_11), forall x_11: ~P_6(x_11) or R(x_11) we can infer forall x_11: T(x_11) or R(x_11). From forall x_11: P_11(x_11) <-> R(x_11) we can infer forall x_11: R(x_11) -> P_11(x_11). Finally, from forall x_11: T(x_11) -> P_11(x_11), forall x_11: R(x_11) -> P_11(x_11), forall x_11: T(x_11) or R(x_11) we can infer forall x_11: P_11(x_11). Therefore, the answer is yes.