# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:((p(s(t_bool,h4s_hreals_cut(s(t_h4s_hreals_hreal,X3),s(t_h4s_hrats_hrat,X2))))&~(p(s(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(2, axiom,p(s(t_bool,t)),file('i/f/hreal/CUT__STRADDLE', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hreal/CUT__STRADDLE', aHLu_FALSITY)).
fof(11, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/hreal/CUT__STRADDLE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(15, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)|s(t_bool,X6)=s(t_bool,f)),file('i/f/hreal/CUT__STRADDLE', aHLu_BOOLu_CASES)).
fof(16, 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(17, axiom,![X1]:![X2]:![X3]:((p(s(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,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_DOWN)).
# SZS output end CNFRefutation
