# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))),s(X1,X4))))<=>s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3)))=s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X4))))=>![X3]:p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_h4s_lists_list(X1),X3),s(t_h4s_lists_list(X1),X3))))),file('i/f/quotient_list/LIST__REL__REFL', ch4s_quotientu_u_lists_LISTu_u_RELu_u_REFL)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/quotient_list/LIST__REL__REFL', aHLu_FALSITY)).
fof(51, axiom,![X11]:(s(t_bool,X11)=s(t_bool,f)<=>~(p(s(t_bool,X11)))),file('i/f/quotient_list/LIST__REL__REFL', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(66, axiom,![X1]:![X28]:![X2]:(![X3]:(p(s(t_bool,h4s_bools_in(s(X1,X3),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X28))))))=>p(s(t_bool,happ(s(t_fun(X1,t_bool),happ(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(X1,X3))),s(X1,X3)))))=>p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X1,t_bool)),X2),s(t_h4s_lists_list(X1),X28),s(t_h4s_lists_list(X1),X28))))),file('i/f/quotient_list/LIST__REL__REFL', ah4s_lists_EVERY2u_u_refl)).
# SZS output end CNFRefutation
