# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_lists_list(t_h4s_strings_char),h4s_patriciau_u_castss_numu_u_tou_u_string(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_nums_num),h4s_patriciau_u_castss_stringu_u_tou_u_num),s(t_h4s_lists_list(t_h4s_strings_char),X1)))))=s(t_h4s_lists_list(t_h4s_strings_char),X1),file('i/f/patricia_casts/num__to__string__string__to__num', ch4s_patriciau_u_castss_numu_u_tou_u_stringu_u_stringu_u_tou_u_num)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/patricia_casts/num__to__string__string__to__num', aHLu_TRUTH)).
fof(7, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)<=>p(s(t_bool,X9))),file('i/f/patricia_casts/num__to__string__string__to__num', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X9]:![X1]:(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_nums_num),h4s_patriciau_u_castss_stringu_u_tou_u_num),s(t_h4s_lists_list(t_h4s_strings_char),X1)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_nums_num),h4s_patriciau_u_castss_stringu_u_tou_u_num),s(t_h4s_lists_list(t_h4s_strings_char),X9)))<=>s(t_h4s_lists_list(t_h4s_strings_char),X1)=s(t_h4s_lists_list(t_h4s_strings_char),X9)),file('i/f/patricia_casts/num__to__string__string__to__num', ah4s_patriciau_u_castss_stringu_u_tou_u_numu_u_11)).
fof(9, axiom,![X10]:(p(s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X10),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_image(s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_nums_num),h4s_patriciau_u_castss_stringu_u_tou_u_num),s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_bool),h4s_predu_u_sets_univ))))))=>s(t_h4s_nums_num,happ(s(t_fun(t_h4s_lists_list(t_h4s_strings_char),t_h4s_nums_num),h4s_patriciau_u_castss_stringu_u_tou_u_num),s(t_h4s_lists_list(t_h4s_strings_char),h4s_patriciau_u_castss_numu_u_tou_u_string(s(t_h4s_nums_num,X10)))))=s(t_h4s_nums_num,X10)),file('i/f/patricia_casts/num__to__string__string__to__num', ah4s_patriciau_u_castss_stringu_u_tou_u_numu_u_numu_u_tou_u_string)).
fof(10, axiom,![X11]:![X7]:![X6]:![X1]:(p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),X1))))=>![X4]:p(s(t_bool,h4s_bools_in(s(X11,happ(s(t_fun(X7,X11),X4),s(X7,X6))),s(t_fun(X11,t_bool),h4s_predu_u_sets_image(s(t_fun(X7,X11),X4),s(t_fun(X7,t_bool),X1))))))),file('i/f/patricia_casts/num__to__string__string__to__num', ah4s_predu_u_sets_IMAGEu_u_IN)).
fof(11, axiom,![X7]:![X6]:p(s(t_bool,h4s_bools_in(s(X7,X6),s(t_fun(X7,t_bool),h4s_predu_u_sets_univ)))),file('i/f/patricia_casts/num__to__string__string__to__num', ah4s_predu_u_sets_INu_u_UNIV)).
fof(12, axiom,~(p(s(t_bool,f))),file('i/f/patricia_casts/num__to__string__string__to__num', aHLu_FALSITY)).
fof(13, axiom,![X9]:(s(t_bool,X9)=s(t_bool,t)|s(t_bool,X9)=s(t_bool,f)),file('i/f/patricia_casts/num__to__string__string__to__num', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
