Consider the following premises. w <-> Q_17(a_14). forall x_17: ~P_17(x_17). forall x_17: P_17(x_17) <-> Q_17(x_17). Can we infer ~w or q from them?
 From forall x_17: P_17(x_17) <-> Q_17(x_17), forall x_17: ~P_17(x_17) we can infer forall x_17: ~Q_17(x_17). From forall x_17: ~Q_17(x_17) we can infer ~Q_17(a_14). From w <-> Q_17(a_14), ~Q_17(a_14) we can infer ~w. Finally, from ~w we can infer ~w or q. Therefore, the answer is yes.