# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(~(s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil))=>s(X1,h4s_richu_u_lists_ell(s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))),s(t_h4s_lists_list(X1),X2)))=s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_hd),s(t_h4s_lists_list(X1),X2)))),file('i/f/rich_list/ELL__PRE__LENGTH', ch4s_richu_u_lists_ELLu_u_PREu_u_LENGTH)).
fof(10, axiom,![X1]:![X9]:![X13]:s(X1,happ(s(t_fun(t_h4s_lists_list(X1),X1),h4s_lists_hd),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X13))),s(t_h4s_lists_list(X1),X9)))))=s(X1,X13),file('i/f/rich_list/ELL__PRE__LENGTH', ah4s_lists_HD0)).
fof(16, axiom,![X1]:![X7]:![X2]:s(X1,h4s_richu_u_lists_ell(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X7))),s(t_h4s_lists_list(X1),X2)))))=s(X1,X7),file('i/f/rich_list/ELL__PRE__LENGTH', ah4s_richu_u_lists_ELLu_u_LENGTHu_u_CONS)).
fof(23, axiom,![X19]:s(t_h4s_nums_num,h4s_primu_u_recs_pre(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X19)))))=s(t_h4s_nums_num,X19),file('i/f/rich_list/ELL__PRE__LENGTH', ah4s_primu_u_recs_PRE0u_c1)).
fof(27, axiom,![X1]:![X9]:![X13]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X13))),s(t_h4s_lists_list(X1),X9)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X9))))),file('i/f/rich_list/ELL__PRE__LENGTH', ah4s_lists_LENGTH0u_c1)).
fof(31, axiom,![X1]:![X2]:(s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X13]:?[X9]:s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X13))),s(t_h4s_lists_list(X1),X9)))),file('i/f/rich_list/ELL__PRE__LENGTH', ah4s_lists_listu_u_CASES)).
# SZS output end CNFRefutation
