# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X5),s(X2,X4))),s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X3))),s(t_fun(X1,X2),X6)))))=s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2))),happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)))),h4s_lists_cons),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X4))))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X3))))),s(t_fun(X1,X2),X6))),file('i/f/update/LIST__UPDATE__THMS_c3', ch4s_updates_LISTu_u_UPDATEu_u_THMSu_c3)).
fof(31, axiom,![X11]:![X12]:![X33]:![X10]:![X9]:![X6]:s(X11,happ(s(t_fun(X33,X11),happ(s(t_fun(t_fun(X33,X12),t_fun(X33,X11)),h4s_combins_o(s(t_fun(X12,X11),X6))),s(t_fun(X33,X12),X9))),s(X33,X10)))=s(X11,happ(s(t_fun(X12,X11),X6),s(X12,happ(s(t_fun(X33,X12),X9),s(X33,X10))))),file('i/f/update/LIST__UPDATE__THMS_c3', ah4s_combins_ou_u_THM)).
fof(40, axiom,![X33]:![X40]:![X3]:![X4]:![X5]:s(t_fun(t_fun(X33,X40),t_fun(X33,X40)),happ(s(t_fun(t_fun(t_fun(X33,X40),t_fun(X33,X40)),t_fun(t_fun(X33,X40),t_fun(X33,X40))),h4s_combins_o(s(t_fun(t_fun(X33,X40),t_fun(X33,X40)),h4s_combins_update(s(X33,X5),s(X40,X4))))),s(t_fun(t_fun(X33,X40),t_fun(X33,X40)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X33,X40)),X3)))))=s(t_fun(t_fun(X33,X40),t_fun(X33,X40)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X33,X40)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X33,X40)),t_h4s_lists_list(t_h4s_pairs_prod(X33,X40))),happ(s(t_fun(t_h4s_pairs_prod(X33,X40),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X33,X40)),t_h4s_lists_list(t_h4s_pairs_prod(X33,X40)))),h4s_lists_cons),s(t_h4s_pairs_prod(X33,X40),happ(s(t_fun(X40,t_h4s_pairs_prod(X33,X40)),happ(s(t_fun(X33,t_fun(X40,t_h4s_pairs_prod(X33,X40))),h4s_pairs_u_2c),s(X33,X5))),s(X40,X4))))),s(t_h4s_lists_list(t_h4s_pairs_prod(X33,X40)),X3))))),file('i/f/update/LIST__UPDATE__THMS_c3', ah4s_updates_LISTu_u_UPDATEu_u_THMSu_c1)).
# SZS output end CNFRefutation
