# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:s(t_fun(t_fun(X7,X8),t_fun(X7,X8)),h4s_combins_o(s(t_fun(t_fun(X7,X8),t_fun(X7,X8)),h4s_combins_update(s(X7,X12),s(X8,X10))),s(t_fun(t_fun(X7,X8),t_fun(X7,X8)),h4s_combins_update(s(X7,X11),s(X8,X9)))))=s(t_fun(t_fun(X7,X8),t_fun(X7,X8)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X7,X8)),h4s_lists_cons(s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,X12),s(X8,X10))),s(t_h4s_lists_list(t_h4s_pairs_prod(X7,X8)),h4s_lists_cons(s(t_h4s_pairs_prod(X7,X8),h4s_pairs_u_2c(s(X7,X11),s(X8,X9))),s(t_h4s_lists_list(t_h4s_pairs_prod(X7,X8)),h4s_lists_nil))))))),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_updates_LISTu_u_UPDATEu_u_THMSu_c0)).
fof(55, axiom,![X8]:![X7]:![X28]:![X6]:![X5]:![X4]:s(X8,happ(s(t_fun(X28,X8),h4s_combins_o(s(t_fun(X7,X8),X4),s(t_fun(X28,X7),X5))),s(X28,X6)))=s(X8,happ(s(t_fun(X7,X8),X4),s(X7,happ(s(t_fun(X28,X7),X5),s(X28,X6))))),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_combins_ou_u_THM)).
fof(133, conjecture,![X66]:![X67]:![X9]:![X10]:![X11]:![X12]:![X4]:s(t_fun(X66,X67),happ(s(t_fun(t_fun(X66,X67),t_fun(X66,X67)),h4s_combins_update(s(X66,X12),s(X67,X10))),s(t_fun(X66,X67),happ(s(t_fun(t_fun(X66,X67),t_fun(X66,X67)),h4s_combins_update(s(X66,X11),s(X67,X9))),s(t_fun(X66,X67),X4)))))=s(t_fun(X66,X67),happ(s(t_fun(t_fun(X66,X67),t_fun(X66,X67)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X66,X67)),h4s_lists_cons(s(t_h4s_pairs_prod(X66,X67),h4s_pairs_u_2c(s(X66,X12),s(X67,X10))),s(t_h4s_lists_list(t_h4s_pairs_prod(X66,X67)),h4s_lists_cons(s(t_h4s_pairs_prod(X66,X67),h4s_pairs_u_2c(s(X66,X11),s(X67,X9))),s(t_h4s_lists_list(t_h4s_pairs_prod(X66,X67)),h4s_lists_nil))))))),s(t_fun(X66,X67),X4))),file('i/f/update/LIST__UPDATE__THMS_c2', ch4s_updates_LISTu_u_UPDATEu_u_THMSu_c2)).
# SZS output end CNFRefutation
