# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((~(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X3))),s(t_h4s_hrats_hrat,X2)))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1)))))=>~(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X3))),s(t_h4s_hrats_hrat,X1)))))),file('i/f/hreal/CUT__UBOUND', ch4s_hreals_CUTu_u_UBOUND)).
fof(3, axiom,![X6]:![X7]:((p(s(t_bool,X7))=>p(s(t_bool,X6)))=>((p(s(t_bool,X6))=>p(s(t_bool,X7)))=>s(t_bool,X7)=s(t_bool,X6))),file('i/f/hreal/CUT__UBOUND', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(7, axiom,![X1]:![X2]:~((p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X2)))))),file('i/f/hreal/CUT__UBOUND', ah4s_hreals_HRATu_u_LTu_u_ANTISYM)).
fof(55, axiom,![X1]:![X2]:![X3]:((p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X3))),s(t_h4s_hrats_hrat,X2))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X2)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X3))),s(t_h4s_hrats_hrat,X1))))),file('i/f/hreal/CUT__UBOUND', ah4s_hreals_CUTu_u_DOWN)).
# SZS output end CNFRefutation
