# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_o(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X6),s(X2,X4))),s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X5),s(X2,X3)))))=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)),h4s_lists_cons(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X6),s(X2,X4))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_cons(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),h4s_lists_nil))))))),file('i/f/update/LIST__UPDATE__THMS_c0', ch4s_updates_LISTu_u_UPDATEu_u_THMSu_c0)).
fof(2, axiom,![X1]:![X2]: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)),h4s_lists_nil)))=s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_i),file('i/f/update/LIST__UPDATE__THMS_c0', ah4s_updates_LISTu_u_UPDATEu_u_defu_c0)).
fof(3, axiom,![X1]:![X2]:![X7]:![X8]: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)),h4s_lists_cons(s(t_h4s_pairs_prod(X1,X2),X8),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X7)))))=s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_o(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),X8))),s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),X8))))),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)),X7))))),file('i/f/update/LIST__UPDATE__THMS_c0', ah4s_updates_LISTu_u_UPDATEu_u_defu_c1)).
fof(4, axiom,![X2]:![X1]:![X9]:![X10]:s(X1,h4s_pairs_fst(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X10),s(X2,X9)))))=s(X1,X10),file('i/f/update/LIST__UPDATE__THMS_c0', ah4s_pairs_FST0)).
fof(5, axiom,![X1]:![X2]:![X9]:![X10]:s(X2,h4s_pairs_snd(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X10),s(X2,X9)))))=s(X2,X9),file('i/f/update/LIST__UPDATE__THMS_c0', ah4s_pairs_SND0)).
fof(6, axiom,![X1]:![X2]:![X11]:s(t_fun(X1,X2),h4s_combins_o(s(t_fun(X1,X2),X11),s(t_fun(X1,X1),h4s_combins_i)))=s(t_fun(X1,X2),X11),file('i/f/update/LIST__UPDATE__THMS_c0', ah4s_combins_Iu_u_ou_u_IDu_c1)).
# SZS output end CNFRefutation
