# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/extreal/CROSS__COUNTABLE__UNIV', aHLu_TRUTH)).
fof(13, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/extreal/CROSS__COUNTABLE__UNIV', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(23, axiom,![X7]:![X17]:![X1]:![X18]:![X4]:(p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X7,X17),X4),s(t_fun(X7,t_bool),X18),s(t_fun(X17,t_bool),X1))))<=>(![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X18))))=>p(s(t_bool,h4s_bools_in(s(X17,happ(s(t_fun(X7,X17),X4),s(X7,X6))),s(t_fun(X17,t_bool),X1)))))&![X6]:(p(s(t_bool,h4s_bools_in(s(X17,X6),s(t_fun(X17,t_bool),X1))))=>?[X10]:(p(s(t_bool,h4s_bools_in(s(X7,X10),s(t_fun(X7,t_bool),X18))))&s(X17,happ(s(t_fun(X7,X17),X4),s(X7,X10)))=s(X17,X6))))),file('i/f/extreal/CROSS__COUNTABLE__UNIV', ah4s_predu_u_sets_SURJu_u_DEF)).
fof(24, axiom,![X7]:![X17]:![X1]:![X18]:![X4]:(p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(X7,X17),X4),s(t_fun(X7,t_bool),X18),s(t_fun(X17,t_bool),X1))))<=>(p(s(t_bool,h4s_predu_u_sets_inj(s(t_fun(X7,X17),X4),s(t_fun(X7,t_bool),X18),s(t_fun(X17,t_bool),X1))))&p(s(t_bool,h4s_predu_u_sets_surj(s(t_fun(X7,X17),X4),s(t_fun(X7,t_bool),X18),s(t_fun(X17,t_bool),X1)))))),file('i/f/extreal/CROSS__COUNTABLE__UNIV', ah4s_predu_u_sets_BIJu_u_DEF)).
fof(26, axiom,![X7]:![X18]:(p(s(t_bool,h4s_utilu_u_probs_countable(s(t_fun(X7,t_bool),X18))))<=>?[X4]:![X6]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X18))))=>?[X23]:s(X7,happ(s(t_fun(t_h4s_nums_num,X7),X4),s(t_h4s_nums_num,X23)))=s(X7,X6))),file('i/f/extreal/CROSS__COUNTABLE__UNIV', ah4s_utilu_u_probs_countableu_u_def)).
fof(27, axiom,?[X4]:p(s(t_bool,h4s_predu_u_sets_bij(s(t_fun(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X4),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ),s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_predu_u_sets_cross(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ)))))),file('i/f/extreal/CROSS__COUNTABLE__UNIV', ah4s_utilu_u_probs_NUMu_u_2Du_u_BIJu_u_INV)).
fof(28, conjecture,p(s(t_bool,h4s_utilu_u_probs_countable(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),t_bool),h4s_predu_u_sets_cross(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_univ)))))),file('i/f/extreal/CROSS__COUNTABLE__UNIV', ch4s_extreals_CROSSu_u_COUNTABLEu_u_UNIV)).
# SZS output end CNFRefutation
