# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)),file('i/f/list/LENGTH__NIL', ch4s_lists_LENGTHu_u_NIL)).
fof(5, axiom,![X1]:![X2]:(s(t_h4s_lists_list(X1),X2)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X10]:?[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,X10))),s(t_h4s_lists_list(X1),X9)))),file('i/f/list/LENGTH__NIL', ah4s_lists_listu_u_nchotomy)).
fof(10, axiom,![X15]:~(p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/list/LENGTH__NIL', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(12, axiom,![X15]:p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_bool)),h4s_primu_u_recs_u_3c),s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))))),file('i/f/list/LENGTH__NIL', ah4s_primu_u_recs_LESSu_u_0)).
fof(13, axiom,![X1]:![X9]:![X10]: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,X10))),s(t_h4s_lists_list(X1),X9)))))=s(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/list/LENGTH__NIL', ah4s_lists_LENGTH0u_c1)).
fof(14, axiom,![X1]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),h4s_lists_nil)))=s(t_h4s_nums_num,h4s_nums_0),file('i/f/list/LENGTH__NIL', ah4s_lists_LENGTH0u_c0)).
# SZS output end CNFRefutation
