# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:?[X3]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X2))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X1))))),file('i/f/hreal/HRAT__DOWN2', ch4s_hreals_HRATu_u_DOWN2)).
fof(4, axiom,![X3]:![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,X3)))))=>p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X3))))),file('i/f/hreal/HRAT__DOWN2', ah4s_hreals_HRATu_u_LTu_u_TRANS)).
fof(5, 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/HRAT__DOWN2', ah4s_hreals_HRATu_u_LTu_u_GT)).
fof(8, axiom,![X2]:?[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/HRAT__DOWN2', ah4s_hreals_HRATu_u_DOWN)).
fof(11, 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/HRAT__DOWN2', ah4s_hreals_HRATu_u_LTu_u_TOTAL)).
# SZS output end CNFRefutation
