# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:p(s(t_bool,h4s_lbtrees_depth(s(X1,X2),s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X2),s(t_h4s_lbtrees_lbtree(X1),X4),s(t_h4s_lbtrees_lbtree(X1),X3))),s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/lbtree/depth__rules_c0', ch4s_lbtrees_depthu_u_rulesu_c0)).
fof(5, axiom,![X1]:![X2]:![X8]:![X9]:(p(s(t_bool,h4s_lbtrees_depth(s(X1,X2),s(t_h4s_lbtrees_lbtree(X1),X8),s(t_h4s_nums_num,X9))))<=>![X10]:(![X11]:![X12]:![X13]:((?[X4]:?[X3]:(s(t_h4s_lbtrees_lbtree(X1),X12)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X11),s(t_h4s_lbtrees_lbtree(X1),X4),s(t_h4s_lbtrees_lbtree(X1),X3)))&s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_0))|(?[X14]:?[X15]:?[X4]:?[X3]:(s(t_h4s_lbtrees_lbtree(X1),X12)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X15),s(t_h4s_lbtrees_lbtree(X1),X4),s(t_h4s_lbtrees_lbtree(X1),X3)))&(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool)),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool))),X10),s(X1,X11))),s(t_h4s_lbtrees_lbtree(X1),X4))),s(t_h4s_nums_num,X14))))))|?[X14]:?[X15]:?[X4]:?[X3]:(s(t_h4s_lbtrees_lbtree(X1),X12)=s(t_h4s_lbtrees_lbtree(X1),h4s_lbtrees_nd(s(X1,X15),s(t_h4s_lbtrees_lbtree(X1),X4),s(t_h4s_lbtrees_lbtree(X1),X3)))&(s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))&p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool)),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool))),X10),s(X1,X11))),s(t_h4s_lbtrees_lbtree(X1),X3))),s(t_h4s_nums_num,X14))))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool)),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool))),X10),s(X1,X11))),s(t_h4s_lbtrees_lbtree(X1),X12))),s(t_h4s_nums_num,X13)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_nums_num,t_bool),happ(s(t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool)),happ(s(t_fun(X1,t_fun(t_h4s_lbtrees_lbtree(X1),t_fun(t_h4s_nums_num,t_bool))),X10),s(X1,X2))),s(t_h4s_lbtrees_lbtree(X1),X8))),s(t_h4s_nums_num,X9)))))),file('i/f/lbtree/depth__rules_c0', ah4s_lbtrees_depthu_u_def)).
# SZS output end CNFRefutation
