# 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_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X1))),s(t_h4s_hrats_hrat,X2)))),file('i/f/hreal/CUT__NONEMPTY', ch4s_hreals_CUTu_u_NONEMPTY)).
fof(20, axiom,![X1]:p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_hrats_hrat,t_bool),t_bool),h4s_hreals_isacut),s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X1)))))),file('i/f/hreal/CUT__NONEMPTY', ah4s_hreals_CUTu_u_ISACUT)).
fof(21, axiom,![X20]:(p(s(t_bool,happ(s(t_fun(t_fun(t_h4s_hrats_hrat,t_bool),t_bool),h4s_hreals_isacut),s(t_fun(t_h4s_hrats_hrat,t_bool),X20))))<=>(?[X2]:p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X20),s(t_h4s_hrats_hrat,X2))))&(?[X2]:~(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X20),s(t_h4s_hrats_hrat,X2)))))&(![X2]:![X11]:((p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X20),s(t_h4s_hrats_hrat,X2))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X11),s(t_h4s_hrats_hrat,X2)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X20),s(t_h4s_hrats_hrat,X11)))))&![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X20),s(t_h4s_hrats_hrat,X2))))=>?[X11]:(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X20),s(t_h4s_hrats_hrat,X11))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X11)))))))))),file('i/f/hreal/CUT__NONEMPTY', ah4s_hreals_isacut0)).
# SZS output end CNFRefutation
