# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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__LT__GT', ch4s_hreals_HRATu_u_LTu_u_GT)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hreal/HRAT__LT__GT', aHLu_TRUTH)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/hreal/HRAT__LT__GT', aHLu_FALSITY)).
fof(9, axiom,![X1]:![X2]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))))<=>?[X7]: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,X7)))),file('i/f/hreal/HRAT__LT__GT', ah4s_hreals_hratu_u_lt0)).
fof(10, axiom,![X5]:(s(t_bool,X5)=s(t_bool,t)|s(t_bool,X5)=s(t_bool,f)),file('i/f/hreal/HRAT__LT__GT', aHLu_BOOLu_CASES)).
fof(12, axiom,![X8]:![X9]:![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X10),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,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X9))),s(t_h4s_hrats_hrat,X8))),file('i/f/hreal/HRAT__LT__GT', ah4s_hrats_HRATu_u_ADDu_u_ASSOC)).
fof(13, axiom,![X9]:![X10]:~(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X9)))=s(t_h4s_hrats_hrat,X10)),file('i/f/hreal/HRAT__LT__GT', ah4s_hrats_HRATu_u_NOZERO)).
# SZS output end CNFRefutation
