# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_h4s_nums_num,h4s_finiteu_u_maps_fcard(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),h4s_pairs_u_2c(s(X1,X5),s(X2,X4)))))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X5),s(t_fun(X1,t_bool),h4s_finiteu_u_maps_fdom(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))),s(t_h4s_nums_num,h4s_finiteu_u_maps_fcard(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))),s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,h4s_finiteu_u_maps_fcard(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3))))))),file('i/f/finite_map/FCARD__FUPDATE', ch4s_finiteu_u_maps_FCARDu_u_FUPDATE)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/finite_map/FCARD__FUPDATE', aHLu_TRUTH)).
fof(15, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/finite_map/FCARD__FUPDATE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(26, axiom,![X1]:![X19]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X1,t_bool),X19))))=>![X9]:s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),h4s_predu_u_sets_insert(s(X1,X9),s(t_fun(X1,t_bool),X19)))))=s(t_h4s_nums_num,h4s_bools_cond(s(t_bool,h4s_bools_in(s(X1,X9),s(t_fun(X1,t_bool),X19))),s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X19))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X1,t_bool),X19)))))))),file('i/f/finite_map/FCARD__FUPDATE', ah4s_predu_u_sets_CARDu_u_INSERT)).
fof(28, axiom,![X12]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_nums_num,X12))),file('i/f/finite_map/FCARD__FUPDATE', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(32, axiom,![X1]:![X2]:![X3]:s(t_h4s_nums_num,h4s_finiteu_u_maps_fcard(s(t_h4s_finiteu_u_maps_fmap(X1,X2),X3)))=s(t_h4s_nums_num,h4s_predu_u_sets_card(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/FCARD__FUPDATE', ah4s_finiteu_u_maps_FCARDu_u_DEF)).
fof(33, axiom,![X1]:![X2]:![X20]:![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),X20),s(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),X20))))),file('i/f/finite_map/FCARD__FUPDATE', ah4s_finiteu_u_maps_FDOMu_u_FUPDATE)).
fof(34, axiom,![X1]:![X2]:![X3]:p(s(t_bool,h4s_predu_u_sets_finite(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/FCARD__FUPDATE', ah4s_finiteu_u_maps_FDOMu_u_FINITE)).
# SZS output end CNFRefutation
