# 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(X1,X2),h4s_finiteu_u_maps_fempty)=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X4)))))),file('i/f/finite_map/NOT__EQ__FEMPTY__FUPDATE', ch4s_finiteu_u_maps_NOTu_u_EQu_u_FEMPTYu_u_FUPDATE)).
fof(6, axiom,![X1]:![X2]:![X3]:![X11]:![X4]:![X5]: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_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X4))))),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X11)))))=s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X11))))),file('i/f/finite_map/NOT__EQ__FEMPTY__FUPDATE', ah4s_finiteu_u_maps_FUPDATEu_u_EQ)).
fof(18, axiom,![X2]:![X1]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fempty)))=s(t_fun(X1,t_bool),h4s_predu_u_sets_empty),file('i/f/finite_map/NOT__EQ__FEMPTY__FUPDATE', ah4s_finiteu_u_maps_FDOMu_u_FEMPTY)).
fof(47, axiom,![X1]:![X9]:~(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))),file('i/f/finite_map/NOT__EQ__FEMPTY__FUPDATE', ah4s_predu_u_sets_NOTu_u_INu_u_EMPTY)).
fof(48, axiom,![X1]:![X8]:![X9]:(p(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X8),s(t_fun(X1,t_bool),h4s_predu_u_sets_empty))))))<=>s(X1,X9)=s(X1,X8)),file('i/f/finite_map/NOT__EQ__FEMPTY__FUPDATE', ah4s_predu_u_sets_INu_u_SING)).
fof(49, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),h4s_finiteu_u_maps_fupdate(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3),s(t_h4s_pairs_prod(X1,X2),happ(s(t_fun(X2,t_h4s_pairs_prod(X1,X2)),happ(s(t_fun(X1,t_fun(X2,t_h4s_pairs_prod(X1,X2))),h4s_pairs_u_2c),s(X1,X5))),s(X2,X4)))))))=s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))),file('i/f/finite_map/NOT__EQ__FEMPTY__FUPDATE', ah4s_finiteu_u_maps_FDOMu_u_FUPDATE)).
# SZS output end CNFRefutation
