# 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,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))))))=>p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))))),file('i/f/hreal/CUT__STRADDLE', ch4s_hreals_CUTu_u_STRADDLE)).
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__STRADDLE', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(4, axiom,![X2]:~(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X2))))),file('i/f/hreal/CUT__STRADDLE', ah4s_hreals_HRATu_u_LTu_u_REFL)).
fof(17, axiom,![X1]:![X2]:(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,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__STRADDLE', ah4s_hreals_HRATu_u_LTu_u_TOTAL)).
fof(34, 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,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__STRADDLE', ah4s_hreals_CUTu_u_UBOUND)).
fof(35, axiom,![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))))=>?[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))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1)))))),file('i/f/hreal/CUT__STRADDLE', ah4s_hreals_CUTu_u_UP)).
# SZS output end CNFRefutation
