# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/hreal/CUT__UP', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/hreal/CUT__UP', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/hreal/CUT__UP', aHLu_BOOLu_CASES)).
fof(6, axiom,![X7]: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,X7)))))),file('i/f/hreal/CUT__UP', ah4s_hreals_CUTu_u_ISACUT)).
fof(9, axiom,![X9]:(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),X9))))<=>(?[X6]:p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X9),s(t_h4s_hrats_hrat,X6))))&(?[X6]:~(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X9),s(t_h4s_hrats_hrat,X6)))))&(![X6]:![X10]:((p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X9),s(t_h4s_hrats_hrat,X6))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X6)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X9),s(t_h4s_hrats_hrat,X10)))))&![X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X9),s(t_h4s_hrats_hrat,X6))))=>?[X10]:(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),X9),s(t_h4s_hrats_hrat,X10))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X6),s(t_h4s_hrats_hrat,X10)))))))))),file('i/f/hreal/CUT__UP', ah4s_hreals_isacut0)).
fof(133, conjecture,![X6]:![X7]:(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X7))),s(t_h4s_hrats_hrat,X6))))=>?[X10]:(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X7))),s(t_h4s_hrats_hrat,X10))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X6),s(t_h4s_hrats_hrat,X10)))))),file('i/f/hreal/CUT__UP', ch4s_hreals_CUTu_u_UP)).
# SZS output end CNFRefutation
