# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))))=>s(t_h4s_nums_num,h4s_lists_el(s(t_h4s_nums_num,X2),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_nums_num,X2)),file('i/f/rich_list/EL__COUNT__LIST', ch4s_richu_u_lists_ELu_u_COUNTu_u_LIST)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/EL__COUNT__LIST', aHLu_TRUTH)).
fof(8, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/rich_list/EL__COUNT__LIST', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X3]:![X5]:![X1]:![X12]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X1))))=>s(X3,h4s_lists_el(s(t_h4s_nums_num,X5),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(X3,happ(s(t_fun(t_h4s_nums_num,X3),X12),s(t_h4s_nums_num,X5)))),file('i/f/rich_list/EL__COUNT__LIST', ah4s_lists_ELu_u_GENLIST)).
fof(12, 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/rich_list/EL__COUNT__LIST', ah4s_richu_u_lists_COUNTu_u_LISTu_u_GENLIST)).
fof(13, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)|s(t_bool,X4)=s(t_bool,f)),file('i/f/rich_list/EL__COUNT__LIST', aHLu_BOOLu_CASES)).
fof(15, axiom,![X3]:![X5]:s(X3,happ(s(t_fun(X3,X3),h4s_combins_i),s(X3,X5)))=s(X3,X5),file('i/f/rich_list/EL__COUNT__LIST', ah4s_combins_Iu_u_THM)).
fof(16, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/EL__COUNT__LIST', aHLu_FALSITY)).
# SZS output end CNFRefutation
