# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, axiom,![X8]:![X7]:![X1]:![X18]:s(t_fun(t_fun(X8,X7),t_fun(X8,X7)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X8,X7)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X8,X7)),t_h4s_lists_list(t_h4s_pairs_prod(X8,X7))),happ(s(t_fun(t_h4s_pairs_prod(X8,X7),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X8,X7)),t_h4s_lists_list(t_h4s_pairs_prod(X8,X7)))),h4s_lists_cons),s(t_h4s_pairs_prod(X8,X7),X18))),s(t_h4s_lists_list(t_h4s_pairs_prod(X8,X7)),X1)))))=s(t_fun(t_fun(X8,X7),t_fun(X8,X7)),happ(s(t_fun(t_fun(t_fun(X8,X7),t_fun(X8,X7)),t_fun(t_fun(X8,X7),t_fun(X8,X7))),h4s_combins_o(s(t_fun(t_fun(X8,X7),t_fun(X8,X7)),h4s_combins_update(s(X8,happ(s(t_fun(t_h4s_pairs_prod(X8,X7),X8),h4s_pairs_fst),s(t_h4s_pairs_prod(X8,X7),X18))),s(X7,h4s_pairs_snd(s(t_h4s_pairs_prod(X8,X7),X18))))))),s(t_fun(t_fun(X8,X7),t_fun(X8,X7)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X8,X7)),X1))))),file('i/f/update/LIST__UPDATE__THMS_c1', ah4s_updates_LISTu_u_UPDATEu_u_defu_c1)).
fof(11, axiom,![X7]:![X8]:![X21]:![X6]:s(X8,happ(s(t_fun(t_h4s_pairs_prod(X8,X7),X8),h4s_pairs_fst),s(t_h4s_pairs_prod(X8,X7),happ(s(t_fun(X7,t_h4s_pairs_prod(X8,X7)),happ(s(t_fun(X8,t_fun(X7,t_h4s_pairs_prod(X8,X7))),h4s_pairs_u_2c),s(X8,X6))),s(X7,X21)))))=s(X8,X6),file('i/f/update/LIST__UPDATE__THMS_c1', ah4s_pairs_FST0)).
fof(12, axiom,![X8]:![X7]:![X21]:![X6]:s(X7,h4s_pairs_snd(s(t_h4s_pairs_prod(X8,X7),happ(s(t_fun(X7,t_h4s_pairs_prod(X8,X7)),happ(s(t_fun(X8,t_fun(X7,t_h4s_pairs_prod(X8,X7))),h4s_pairs_u_2c),s(X8,X6))),s(X7,X21)))))=s(X7,X21),file('i/f/update/LIST__UPDATE__THMS_c1', ah4s_pairs_SND0)).
fof(133, conjecture,![X30]:![X40]:![X1]:![X36]:![X24]:s(t_fun(t_fun(X30,X40),t_fun(X30,X40)),happ(s(t_fun(t_fun(t_fun(X30,X40),t_fun(X30,X40)),t_fun(t_fun(X30,X40),t_fun(X30,X40))),h4s_combins_o(s(t_fun(t_fun(X30,X40),t_fun(X30,X40)),h4s_combins_update(s(X30,X24),s(X40,X36))))),s(t_fun(t_fun(X30,X40),t_fun(X30,X40)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X30,X40)),X1)))))=s(t_fun(t_fun(X30,X40),t_fun(X30,X40)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X30,X40)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X30,X40)),t_h4s_lists_list(t_h4s_pairs_prod(X30,X40))),happ(s(t_fun(t_h4s_pairs_prod(X30,X40),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X30,X40)),t_h4s_lists_list(t_h4s_pairs_prod(X30,X40)))),h4s_lists_cons),s(t_h4s_pairs_prod(X30,X40),happ(s(t_fun(X40,t_h4s_pairs_prod(X30,X40)),happ(s(t_fun(X30,t_fun(X40,t_h4s_pairs_prod(X30,X40))),h4s_pairs_u_2c),s(X30,X24))),s(X40,X36))))),s(t_h4s_lists_list(t_h4s_pairs_prod(X30,X40)),X1))))),file('i/f/update/LIST__UPDATE__THMS_c1', ch4s_updates_LISTu_u_UPDATEu_u_THMSu_c1)).
# SZS output end CNFRefutation
