# 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(4, axiom,![X13]:![X14]:![X15]:![X16]:(![X12]:s(X14,happ(s(t_fun(X13,X14),X15),s(X13,X12)))=s(X14,happ(s(t_fun(X13,X14),X16),s(X13,X12)))=>s(t_fun(X13,X14),X15)=s(t_fun(X13,X14),X16)),file('i/f/finite_map/fupdate__list__foldl', aHLu_EXT)).
fof(13, 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)).
fof(15, axiom,![X24]:![X1]:![X2]:![X11]:![X12]:![X15]:s(X24,happ(s(t_fun(t_h4s_pairs_prod(X1,X2),X24),h4s_pairs_uncurry(s(t_fun(X1,t_fun(X2,X24)),X15))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X12),s(X2,X11)))))=s(X24,happ(s(t_fun(X2,X24),happ(s(t_fun(X1,t_fun(X2,X24)),X15),s(X1,X12))),s(X2,X11))),file('i/f/finite_map/fupdate__list__foldl', ah4s_pairs_UNCURRYu_u_DEF)).
fof(16, axiom,![X1]:![X2]:![X12]:?[X25]:?[X26]:s(t_h4s_pairs_prod(X1,X2),X12)=s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X25),s(X2,X26))),file('i/f/finite_map/fupdate__list__foldl', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
# SZS output end CNFRefutation
