# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_bools_in(s(t_h4s_nums_num,X2),s(t_fun(t_h4s_nums_num,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(t_h4s_nums_num),h4s_richu_u_lists_countu_u_list(s(t_h4s_nums_num,X1)))))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X1))),file('i/f/rich_list/MEM__COUNT__LIST', ch4s_richu_u_lists_MEMu_u_COUNTu_u_LIST)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/rich_list/MEM__COUNT__LIST', aHLu_TRUTH)).
fof(4, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/rich_list/MEM__COUNT__LIST', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(8, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/rich_list/MEM__COUNT__LIST', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, axiom,![X5]:![X7]:![X14]:(p(s(t_bool,h4s_bools_in(s(X5,X7),s(t_fun(X5,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X5),X14))))))<=>?[X1]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X1),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X5),X14))))))&s(X5,X7)=s(X5,h4s_lists_el(s(t_h4s_nums_num,X1),s(t_h4s_lists_list(X5),X14))))),file('i/f/rich_list/MEM__COUNT__LIST', ah4s_lists_MEMu_u_EL)).
fof(12, axiom,![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/MEM__COUNT__LIST', ah4s_richu_u_lists_ELu_u_COUNTu_u_LIST)).
fof(13, axiom,![X5]:![X1]:![X15]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X5),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X5),X15),s(t_h4s_nums_num,X1)))))=s(t_h4s_nums_num,X1),file('i/f/rich_list/MEM__COUNT__LIST', ah4s_lists_LENGTHu_u_GENLIST)).
fof(14, 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/MEM__COUNT__LIST', ah4s_richu_u_lists_COUNTu_u_LISTu_u_GENLIST)).
fof(17, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/rich_list/MEM__COUNT__LIST', aHLu_BOOLu_CASES)).
fof(18, axiom,~(p(s(t_bool,f))),file('i/f/rich_list/MEM__COUNT__LIST', aHLu_FALSITY)).
# SZS output end CNFRefutation
