# 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,X2),s(t_h4s_hrats_hrat,X1)))))=>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__LT__TRANS', ch4s_hreals_HRATu_u_LTu_u_TRANS)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hreal/HRAT__LT__TRANS', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hreal/HRAT__LT__TRANS', aHLu_FALSITY)).
fof(4, axiom,![X2]:![X3]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X2))))<=>?[X4]:s(t_h4s_hrats_hrat,X2)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X4)))),file('i/f/hreal/HRAT__LT__TRANS', ah4s_hreals_hratu_u_lt0)).
fof(5, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/hreal/HRAT__LT__TRANS', aHLu_BOOLu_CASES)).
fof(7, axiom,![X7]:![X8]:![X9]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X8),s(t_h4s_hrats_hrat,X7)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X8))),s(t_h4s_hrats_hrat,X7))),file('i/f/hreal/HRAT__LT__TRANS', ah4s_hrats_HRATu_u_ADDu_u_ASSOC)).
# SZS output end CNFRefutation
