# 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(3, 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(4, axiom,![X1]:![X2]:![X6]:![X7]:![X8]:![X9]: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),X9),s(t_h4s_pairs_prod(X2,X1),h4s_pairs_u_2c(s(X2,X7),s(X1,X6))))),s(t_fun(X2,t_bool),X8)))=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),X8))),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),X9),s(t_fun(X2,t_bool),X8))),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),X9),s(t_fun(X2,t_bool),X8))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_finiteu_u_maps_DRESTRICTu_u_FUPDATE)).
fof(5, axiom,![X2]:![X7]:![X10]:(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),X10))))))<=>~(p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X10)))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_predu_u_sets_INu_u_COMPL)).
fof(6, axiom,![X2]:![X6]:![X7]:![X10]:(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),X10))))))<=>(s(X2,X7)=s(X2,X6)|p(s(t_bool,h4s_bools_in(s(X2,X7),s(t_fun(X2,t_bool),X10)))))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_predu_u_sets_INu_u_INSERT)).
fof(10, axiom,![X2]:![X15]:![X16]:s(X2,h4s_bools_cond(s(t_bool,f),s(X2,X16),s(X2,X15)))=s(X2,X15),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_bools_boolu_u_caseu_u_thmu_c1)).
fof(16, axiom,p(s(t_bool,t)),file('i/f/finite_map/DOMSUB__FUPDATE', aHLu_TRUTH)).
fof(22, axiom,![X17]:(s(t_bool,X17)=s(t_bool,t)<=>p(s(t_bool,X17))),file('i/f/finite_map/DOMSUB__FUPDATE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(24, axiom,![X17]:(s(t_bool,X17)=s(t_bool,t)|s(t_bool,X17)=s(t_bool,f)),file('i/f/finite_map/DOMSUB__FUPDATE', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
