# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X3))))))))<=>?[X5]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X5),s(t_h4s_nums_num,X3))))&s(X1,X2)=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X5))))),file('i/f/list/MEM__GENLIST', ch4s_lists_MEMu_u_GENLIST)).
fof(2, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/list/MEM__GENLIST', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(22, axiom,![X1]:![X2]:![X23]:(p(s(t_bool,h4s_bools_in(s(X1,X2),s(t_fun(X1,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X1),X23))))))<=>?[X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X23))))))&s(X1,X2)=s(X1,h4s_lists_el(s(t_h4s_nums_num,X3),s(t_h4s_lists_list(X1),X23))))),file('i/f/list/MEM__GENLIST', ah4s_lists_MEMu_u_EL)).
fof(23, axiom,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X2),s(t_h4s_nums_num,X3))))=>s(X1,h4s_lists_el(s(t_h4s_nums_num,X2),s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X3)))))=s(X1,happ(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X2)))),file('i/f/list/MEM__GENLIST', ah4s_lists_ELu_u_GENLIST)).
fof(24, axiom,![X1]:![X3]:![X4]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),h4s_lists_genlist(s(t_fun(t_h4s_nums_num,X1),X4),s(t_h4s_nums_num,X3)))))=s(t_h4s_nums_num,X3),file('i/f/list/MEM__GENLIST', ah4s_lists_LENGTHu_u_GENLIST)).
# SZS output end CNFRefutation
