# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__LT__TOTAL', ch4s_hreals_HRATu_u_LTu_u_TOTAL)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hreal/HRAT__LT__TOTAL', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hreal/HRAT__LT__TOTAL', aHLu_FALSITY)).
fof(7, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X2]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))))<=>?[X4]:s(t_h4s_hrats_hrat,X1)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X4)))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_hreals_hratu_u_lt0)).
fof(9, axiom,![X5]:![X6]:(s(t_h4s_hrats_hrat,X6)=s(t_h4s_hrats_hrat,X5)|(?[X4]:s(t_h4s_hrats_hrat,X6)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X5),s(t_h4s_hrats_hrat,X4)))|?[X4]:s(t_h4s_hrats_hrat,X5)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X6),s(t_h4s_hrats_hrat,X4))))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_hrats_HRATu_u_ADDu_u_TOTAL)).
fof(10, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/hreal/HRAT__LT__TOTAL', aHLu_BOOLu_CASES)).
# SZS output end CNFRefutation
