# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:((p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),h4s_patricias_empty))))&(![X3]:![X4]:p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),happ(s(t_fun(X1,t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_h4s_patricias_ptree(X1))),h4s_patricias_leaf),s(t_h4s_nums_num,X3))),s(X1,X4))))))&![X5]:![X6]:![X7]:![X8]:p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1)))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1))))),h4s_patricias_branch),s(t_h4s_nums_num,X5))),s(t_h4s_nums_num,X6))),s(t_h4s_patricias_ptree(X1),X7))),s(t_h4s_patricias_ptree(X1),X8))))))))=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),X3))))),file('i/f/patricia/IS__EMPTY__ind', ch4s_patricias_ISu_u_EMPTYu_u_ind)).
fof(28, axiom,![X1]:![X2]:((p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),h4s_patricias_empty))))&(![X36]:![X37]:p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),happ(s(t_fun(X1,t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_nums_num,t_fun(X1,t_h4s_patricias_ptree(X1))),h4s_patricias_leaf),s(t_h4s_nums_num,X36))),s(X1,X37))))))&![X18]:![X38]:((p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),X18))))&p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),X38)))))=>![X36]:![X39]:p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1)),happ(s(t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1)))),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(X1),t_fun(t_h4s_patricias_ptree(X1),t_h4s_patricias_ptree(X1))))),h4s_patricias_branch),s(t_h4s_nums_num,X39))),s(t_h4s_nums_num,X36))),s(t_h4s_patricias_ptree(X1),X18))),s(t_h4s_patricias_ptree(X1),X38)))))))))=>![X18]:p(s(t_bool,happ(s(t_fun(t_h4s_patricias_ptree(X1),t_bool),X2),s(t_h4s_patricias_ptree(X1),X18))))),file('i/f/patricia/IS__EMPTY__ind', ah4s_patricias_ptreeu_u_induction)).
# SZS output end CNFRefutation
