# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X4),s(X1,X3))))),s(X2,X4)))=s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X4))),file('i/f/finite_map/DOMSUB__FUPDATE', ch4s_finiteu_u_maps_DOMSUBu_u_FUPDATE)).
fof(4, axiom,![X1]:![X2]:![X4]:![X5]:s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(X2,X4)))=s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X5),s(t_fun(X2,t_bool),h4s_predu_u_sets_compl(s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X4),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_finiteu_u_maps_fmapu_u_domsub)).
fof(7, axiom,![X1]:![X2]:![X6]:![X7]:![X10]:![X11]:s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X11),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X7),s(X1,X6))))),s(t_fun(X2,t_bool),X10)))=s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X10))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X11),s(t_fun(X2,t_bool),X10))),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X7),s(X1,X6))))),s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X11),s(t_fun(X2,t_bool),X10))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_finiteu_u_maps_DRESTRICTu_u_FUPDATE)).
fof(8, axiom,![X2]:![X7]:![X12]:(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_predu_u_sets_compl(s(t_fun(X2,t_bool),X12))))))<=>~(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X12)))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_predu_u_sets_INu_u_COMPL)).
fof(9, axiom,![X2]:![X1]:![X6]:![X7]:![X11]:s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X11),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X7),s(X1,X6)))))=s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X2,X1),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X2,X1),X11),s(t_fun(X2,t_bool),h4s_predu_u_sets_compl(s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X7),s(t_fun(X2,t_bool),h4s_predu_u_sets_empty))))))),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X7),s(X1,X6))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_finiteu_u_maps_FUPDATEu_u_DRESTRICT)).
fof(11, axiom,![X2]:![X6]:![X7]:![X12]:(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),h4s_predu_u_sets_insert(s(X2,X6),s(t_fun(X2,t_bool),X12))))))<=>(s(X2,X7)=s(X2,X6)|p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X12)))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_predu_u_sets_INu_u_INSERT)).
fof(16, axiom,![X2]:![X13]:![X14]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X14),s(X2,X13)))=s(X2,X13),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(25, axiom,![X2]:![X7]:![X18]:s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X18)))=s(t_bool,happ(s(t_fun(X2,t_bool),X18),s(X2,X7))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_predu_u_sets_SPECIFICATION)).
fof(58, axiom,![X20]:(s(t_bool,X20)=s(t_bool,f)<=>~(p(s(t_bool,X20)))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_bools_EQu_u_CLAUSESu_c3)).
# SZS output end CNFRefutation
