# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_nums_num,h4s_predu_u_sets_sumu_u_image(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,h4s_lists_sum(s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),X2),s(t_h4s_nums_num,X1))))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ch4s_sortings_SUMu_u_IMAGEu_u_countu_u_SUMu_u_GENLIST)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', aHLu_TRUTH)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)<=>p(s(t_bool,X5))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X3]:![X8]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(X3,t_bool),X8))))=>s(t_h4s_nums_num,h4s_predu_u_sets_sumu_u_image(s(t_fun(X3,t_h4s_nums_num),X2),s(t_fun(X3,t_bool),X8)))=s(t_h4s_nums_num,h4s_lists_sum(s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_map(s(t_fun(X3,t_h4s_nums_num),X2),s(t_h4s_lists_list(X3),h4s_lists_setu_u_tou_u_list(s(t_fun(X3,t_bool),X8)))))))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_lists_SUMu_u_IMAGEu_u_equ_u_SUMu_u_MAPu_u_SETu_u_TOu_u_LIST)).
fof(9, axiom,![X9]:![X10]:(p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(t_h4s_nums_num),X10),s(t_h4s_lists_list(t_h4s_nums_num),X9))))=>s(t_h4s_nums_num,h4s_lists_sum(s(t_h4s_lists_list(t_h4s_nums_num),X10)))=s(t_h4s_nums_num,h4s_lists_sum(s(t_h4s_lists_list(t_h4s_nums_num),X9)))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_sortings_PERMu_u_SUM)).
fof(10, axiom,![X11]:![X3]:![X1]:![X12]:![X2]:s(t_h4s_lists_list(X11),h4s_lists_map(s(t_fun(X3,X11),X2),s(t_h4s_lists_list(X3),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X3),X12),s(t_h4s_nums_num,X1)))))=s(t_h4s_lists_list(X11),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X11),h4s_combins_o(s(t_fun(X3,X11),X2),s(t_fun(t_h4s_nums_num,X3),X12))),s(t_h4s_nums_num,X1))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_lists_MAPu_u_GENLIST)).
fof(11, axiom,![X1]:s(t_h4s_lists_list(t_h4s_nums_num),h4s_richu_u_lists_countu_u_list(s(t_h4s_nums_num,X1)))=s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_combins_i),s(t_h4s_nums_num,X1))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_richu_u_lists_COUNTu_u_LISTu_u_GENLIST)).
fof(12, axiom,![X1]:p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X1)))))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_predu_u_sets_FINITEu_u_COUNT)).
fof(13, axiom,![X1]:p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_setu_u_tou_u_list(s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_count(s(t_h4s_nums_num,X1))))),s(t_h4s_lists_list(t_h4s_nums_num),h4s_richu_u_lists_countu_u_list(s(t_h4s_nums_num,X1)))))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_sortings_PERMu_u_SETu_u_TOu_u_LISTu_u_countu_u_COUNTu_u_LIST)).
fof(14, axiom,![X3]:![X11]:![X2]:s(t_fun(X3,X11),h4s_combins_o(s(t_fun(X3,X11),X2),s(t_fun(X3,X3),h4s_combins_i)))=s(t_fun(X3,X11),X2),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_combins_Iu_u_ou_u_IDu_c1)).
fof(15, axiom,![X11]:![X3]:![X9]:![X10]:![X2]:(p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X3),X10),s(t_h4s_lists_list(X3),X9))))=>p(s(t_bool,h4s_sortings_perm(s(t_h4s_lists_list(X11),h4s_lists_map(s(t_fun(X3,X11),X2),s(t_h4s_lists_list(X3),X10))),s(t_h4s_lists_list(X11),h4s_lists_map(s(t_fun(X3,X11),X2),s(t_h4s_lists_list(X3),X9))))))),file('i/f/sorting/SUM__IMAGE__count__SUM__GENLIST', ah4s_sortings_PERMu_u_MAP)).
# SZS output end CNFRefutation
