# 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)),h4s_lists_cons(s(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(3, axiom,![X11]:![X12]:![X13]:![X10]:![X9]:![X6]:s(X11,happ(s(t_fun(X13,X11),h4s_combins_o(s(t_fun(X12,X11),X6),s(t_fun(X13,X12),X9))),s(X13,X10)))=s(X11,happ(s(t_fun(X12,X11),X6),s(X12,happ(s(t_fun(X13,X12),X9),s(X13,X10))))),file('i/f/update/LIST__UPDATE__THMS_c3', ah4s_combins_ou_u_THM)).
fof(4, axiom,![X12]:![X11]:![X3]:![X14]:s(t_fun(t_fun(X12,X11),t_fun(X12,X11)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X12,X11)),h4s_lists_cons(s(t_h4s_pairs_prod(X12,X11),X14),s(t_h4s_lists_list(t_h4s_pairs_prod(X12,X11)),X3)))))=s(t_fun(t_fun(X12,X11),t_fun(X12,X11)),h4s_combins_o(s(t_fun(t_fun(X12,X11),t_fun(X12,X11)),h4s_combins_update(s(X12,h4s_pairs_fst(s(t_h4s_pairs_prod(X12,X11),X14))),s(X11,h4s_pairs_snd(s(t_h4s_pairs_prod(X12,X11),X14))))),s(t_fun(t_fun(X12,X11),t_fun(X12,X11)),h4s_updates_listu_u_update(s(t_h4s_lists_list(t_h4s_pairs_prod(X12,X11)),X3))))),file('i/f/update/LIST__UPDATE__THMS_c3', ah4s_updates_LISTu_u_UPDATEu_u_defu_c1)).
fof(5, axiom,![X11]:![X12]:![X15]:![X10]:s(X12,h4s_pairs_fst(s(t_h4s_pairs_prod(X12,X11),h4s_pairs_u_2c(s(X12,X10),s(X11,X15)))))=s(X12,X10),file('i/f/update/LIST__UPDATE__THMS_c3', ah4s_pairs_FST0)).
fof(6, axiom,![X12]:![X11]:![X15]:![X10]:s(X11,h4s_pairs_snd(s(t_h4s_pairs_prod(X12,X11),h4s_pairs_u_2c(s(X12,X10),s(X11,X15)))))=s(X11,X15),file('i/f/update/LIST__UPDATE__THMS_c3', ah4s_pairs_SND0)).
# SZS output end CNFRefutation
