# 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_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X5))),s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X4),s(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)),h4s_lists_snoc(s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X4),s(X2,X3))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X5))))),s(t_fun(X1,X2),X6))),file('i/f/update/LIST__UPDATE__THMS_c7', ch4s_updates_LISTu_u_UPDATEu_u_THMSu_c7)).
fof(6, axiom,![X15]:![X16]:![X3]:![X4]:![X5]:s(t_fun(t_fun(X15,X16),t_fun(X15,X16)),h4s_combins_o(s(t_fun(t_fun(X15,X16),t_fun(X15,X16)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X15,X16)),X5))),s(t_fun(t_fun(X15,X16),t_fun(X15,X16)),h4s_combins_update(s(X15,X4),s(X16,X3)))))=s(t_fun(t_fun(X15,X16),t_fun(X15,X16)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X15,X16)),h4s_lists_snoc(s(t_h4s_pairs_prod(X15,X16),h4s_pairs_u_2c(s(X15,X4),s(X16,X3))),s(t_h4s_lists_list(t_h4s_pairs_prod(X15,X16)),X5))))),file('i/f/update/LIST__UPDATE__THMS_c7', ah4s_updates_LISTu_u_UPDATEu_u_THMSu_c5)).
fof(23, axiom,![X13]:![X7]:![X15]:![X9]:![X12]:![X6]:s(X13,happ(s(t_fun(X15,X13),h4s_combins_o(s(t_fun(X7,X13),X6),s(t_fun(X15,X7),X12))),s(X15,X9)))=s(X13,happ(s(t_fun(X7,X13),X6),s(X7,happ(s(t_fun(X15,X7),X12),s(X15,X9))))),file('i/f/update/LIST__UPDATE__THMS_c7', ah4s_combins_ou_u_THM)).
# SZS output end CNFRefutation
