# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X3),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,X1)))<=>s(t_h4s_hrats_hrat,X2)=s(t_h4s_hrats_hrat,X1)),file('i/f/hreal/HRAT__EQ__LADD', ch4s_hreals_HRATu_u_EQu_u_LADD)).
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__EQ__LADD', 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__EQ__LADD', ah4s_hrats_HRATu_u_NOZERO)).
fof(14, axiom,![X9]:![X10]:(s(t_h4s_hrats_hrat,X10)=s(t_h4s_hrats_hrat,X9)|(?[X11]: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,X11)))|?[X11]:s(t_h4s_hrats_hrat,X9)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X11))))),file('i/f/hreal/HRAT__EQ__LADD', ah4s_hrats_HRATu_u_ADDu_u_TOTAL)).
# SZS output end CNFRefutation
