# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:s(t_fun(X1,X2),happ(s(t_fun(t_fun(X1,X2),t_fun(X1,X2)),h4s_combins_update(s(X1,X6),s(X2,X4))),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,X3))),s(t_fun(X1,X2),X7)))))=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_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))))))),s(t_fun(X1,X2),X7))),file('i/f/update/LIST__UPDATE__THMS_c2', ch4s_updates_LISTu_u_UPDATEu_u_THMSu_c2)).
fof(3, axiom,![X12]:![X13]:![X14]:![X11]:![X10]:![X7]:s(X12,happ(s(t_fun(X14,X12),h4s_combins_o(s(t_fun(X13,X12),X7),s(t_fun(X14,X13),X10))),s(X14,X11)))=s(X12,happ(s(t_fun(X13,X12),X7),s(X13,happ(s(t_fun(X14,X13),X10),s(X14,X11))))),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_combins_ou_u_THM)).
fof(4, axiom,![X13]:![X12]:s(t_fun(t_fun(X13,X12),t_fun(X13,X12)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X13,X12)),h4s_lists_nil)))=s(t_fun(t_fun(X13,X12),t_fun(X13,X12)),h4s_combins_i),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_updates_LISTu_u_UPDATEu_u_defu_c0)).
fof(5, axiom,![X13]:![X12]:![X15]:![X16]:s(t_fun(t_fun(X13,X12),t_fun(X13,X12)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X13,X12)),h4s_lists_cons(s(t_h4s_pairs_prod(X13,X12),X16),s(t_h4s_lists_list(t_h4s_pairs_prod(X13,X12)),X15)))))=s(t_fun(t_fun(X13,X12),t_fun(X13,X12)),h4s_combins_o(s(t_fun(t_fun(X13,X12),t_fun(X13,X12)),h4s_combins_update(s(X13,h4s_pairs_fst(s(t_h4s_pairs_prod(X13,X12),X16))),s(X12,h4s_pairs_snd(s(t_h4s_pairs_prod(X13,X12),X16))))),s(t_fun(t_fun(X13,X12),t_fun(X13,X12)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X13,X12)),X15))))),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_updates_LISTu_u_UPDATEu_u_defu_c1)).
fof(6, axiom,![X12]:![X13]:![X17]:![X11]:s(X13,h4s_pairs_fst(s(t_h4s_pairs_prod(X13,X12),h4s_pairs_u_2c(s(X13,X11),s(X12,X17)))))=s(X13,X11),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_pairs_FST0)).
fof(7, axiom,![X13]:![X12]:![X17]:![X11]:s(X12,h4s_pairs_snd(s(t_h4s_pairs_prod(X13,X12),h4s_pairs_u_2c(s(X13,X11),s(X12,X17)))))=s(X12,X17),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_pairs_SND0)).
fof(8, axiom,![X13]:![X12]:![X7]:s(t_fun(X13,X12),h4s_combins_o(s(t_fun(X13,X12),X7),s(t_fun(X13,X13),h4s_combins_i)))=s(t_fun(X13,X12),X7),file('i/f/update/LIST__UPDATE__THMS_c2', ah4s_combins_Iu_u_ou_u_IDu_c1)).
# SZS output end CNFRefutation
