# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:(~(s(X1,X5)=s(X1,X4))=>s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3))))),s(X1,X4)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X4))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X5),s(X2,X3)))))),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ch4s_finiteu_u_maps_DOMSUBu_u_FUPDATEu_u_NEQ)).
fof(3, axiom,![X2]:![X1]:![X7]:![X8]:![X9]:![X10]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X10),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X8),s(X2,X7))))),s(t_fun(X1,t_bool),X9)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X9))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X10),s(t_fun(X1,t_bool),X9))),s(t_h4s_pairs_prod(X1,X2),h4s_pairs_u_2c(s(X1,X8),s(X2,X7))))),s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X10),s(t_fun(X1,t_bool),X9))))),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ah4s_finiteu_u_maps_DRESTRICTu_u_FUPDATE)).
fof(4, axiom,![X2]:![X1]:![X11]:![X6]:s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fdomsub(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(X1,X11)))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_drestrict(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X6),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X11),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ah4s_finiteu_u_maps_fmapu_u_domsub)).
fof(6, axiom,![X1]:![X16]:![X17]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X17),s(X1,X16)))=s(X1,X17),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(8, axiom,![X1]:![X8]:![X19]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_compl(s(t_fun(X1,t_bool),X19))))))<=>~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X19)))))),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ah4s_predu_u_sets_INu_u_COMPL)).
fof(9, axiom,![X1]:![X7]:![X8]:![X19]:(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X7),s(t_fun(X1,t_bool),X19))))))<=>(s(X1,X8)=s(X1,X7)|p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),X19)))))),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ah4s_predu_u_sets_INu_u_INSERT)).
fof(11, axiom,![X1]:![X8]:~(p(s(t_bool,h4s_bools_in(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(12, axiom,![X16]:![X17]:((p(s(t_bool,X17))=>p(s(t_bool,X16)))=>((p(s(t_bool,X16))=>p(s(t_bool,X17)))=>s(t_bool,X17)=s(t_bool,X16))),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(16, axiom,p(s(t_bool,t)),file('i/f/finite_map/DOMSUB__FUPDATE__NEQ', aHLu_TRUTH)).
# SZS output end CNFRefutation
