# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(![X4]:![X5]:![X6]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2))),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2)))),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(X1,X5))),s(X2,X6)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fupdate),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X6)))))=>![X7]:(![X4]:![X5]:s(t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2))),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2)))),X7),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(X1,X5)))=s(t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2))),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2)))),X3),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4))),s(X1,X5)))=>![X8]:(![X4]:s(t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2))),X8),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))=s(t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2)),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2))),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(X1,t_fun(X2,t_h4s_finiteu_u_maps_fmap(X1,X2)))),X7),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X4)))))=>![X9]:![X10]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_lists_foldl(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2))),X8))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X9))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X10)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2)),happ(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fupdateu_u_list),s(t_h4s_finiteu_u_maps_fmap(X1,X2),X9))),s(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),X10)))))),file('i/f/finite_map/fupdate__list__foldl', ch4s_finiteu_u_maps_fupdateu_u_listu_u_foldl)).
fof(3, axiom,![X11]:![X12]:![X13]:![X14]:(![X15]:s(X12,happ(s(t_fun(X11,X12),X13),s(X11,X15)))=s(X12,happ(s(t_fun(X11,X12),X14),s(X11,X15)))=>s(t_fun(X11,X12),X13)=s(t_fun(X11,X12),X14)),file('i/f/finite_map/fupdate__list__foldl', aHLu_EXT)).
fof(7, axiom,![X1]:![X2]:![X15]:?[X17]:?[X18]:s(t_h4s_pairs_prod(X1,X2),X15)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X17),s(X2,X18))),file('i/f/finite_map/fupdate__list__foldl', ah4s_pairs_pairu_u_CASES)).
fof(8, axiom,![X19]:![X1]:![X2]:![X20]:![X15]:![X13]:s(X19,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X19),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X19)),X13))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X15),s(X2,X20)))))=s(X19,happ(s(t_fun(X2,X19),happ(s(t_fun(X1,t_fun(X2,X19)),X13),s(X1,X15))),s(X2,X20))),file('i/f/finite_map/fupdate__list__foldl', ah4s_pairs_UNCURRYu_u_DEF)).
fof(12, axiom,![X1]:![X2]:s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fupdateu_u_list)=s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(X1,X2)),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_lists_foldl(s(t_fun(t_h4s_finiteu_u_maps_fmap(X1,X2),t_fun(t_h4s_pairs_prod(X1,X2),t_h4s_finiteu_u_maps_fmap(X1,X2))),h4s_finiteu_u_maps_fupdate))),file('i/f/finite_map/fupdate__list__foldl', ah4s_finiteu_u_maps_FUPDATEu_u_LIST0)).
# SZS output end CNFRefutation
