# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))<=>?[X4]:?[X5]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X5)))=s(t_h4s_nums_num,X2)&s(t_h4s_lists_list(X1),X3)=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,X4))),s(t_h4s_lists_list(X1),X5))))),file('i/f/list/LENGTH__EQ__NUM_c1', ch4s_lists_LENGTHu_u_EQu_u_NUMu_c1)).
fof(20, axiom,![X1]:![X17]:![X18]:~(s(t_h4s_lists_list(X1),h4s_lists_nil)=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,X18))),s(t_h4s_lists_list(X1),X17)))),file('i/f/list/LENGTH__EQ__NUM_c1', ah4s_lists_NOTu_u_NILu_u_CONS)).
fof(23, axiom,![X1]:![X3]:(s(t_h4s_lists_list(X1),X3)=s(t_h4s_lists_list(X1),h4s_lists_nil)|?[X4]:?[X13]:s(t_h4s_lists_list(X1),X3)=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,X4))),s(t_h4s_lists_list(X1),X13)))),file('i/f/list/LENGTH__EQ__NUM_c1', ah4s_lists_listu_u_nchotomy)).
fof(27, axiom,![X1]:![X2]:![X3]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X3)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))<=>?[X4]:?[X5]:(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X5)))=s(t_h4s_nums_num,X2)&s(t_h4s_lists_list(X1),X3)=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,X4))),s(t_h4s_lists_list(X1),X5))))),file('i/f/list/LENGTH__EQ__NUM_c1', ah4s_lists_LENGTHu_u_CONS)).
fof(28, axiom,![X1]:![X13]:![X4]: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,X4))),s(t_h4s_lists_list(X1),X13)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X13))))),file('i/f/list/LENGTH__EQ__NUM_c1', ah4s_lists_LENGTH0u_c1)).
fof(35, axiom,![X2]:![X25]:(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X25)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X2)))<=>s(t_h4s_nums_num,X25)=s(t_h4s_nums_num,X2)),file('i/f/list/LENGTH__EQ__NUM_c1', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
# SZS output end CNFRefutation
