# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_inv(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_inv(s(t_h4s_hrats_hrat,X2))),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_inv(s(t_h4s_hrats_hrat,X1))))),file('i/f/hreal/HRAT__INV__MUL', ch4s_hreals_HRATu_u_INVu_u_MUL)).
fof(9, axiom,![X9]:![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X9)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X10))),file('i/f/hreal/HRAT__INV__MUL', ah4s_hrats_HRATu_u_MULu_u_SYM)).
fof(11, axiom,![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1),s(t_h4s_hrats_hrat,X10)))=s(t_h4s_hrats_hrat,X10),file('i/f/hreal/HRAT__INV__MUL', ah4s_hrats_HRATu_u_MULu_u_LID)).
fof(14, axiom,![X11]:![X9]:![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X11)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X10),s(t_h4s_hrats_hrat,X9))),s(t_h4s_hrats_hrat,X11))),file('i/f/hreal/HRAT__INV__MUL', ah4s_hrats_HRATu_u_MULu_u_ASSOC)).
fof(16, axiom,![X8]:![X1]:![X2]:(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X8)))<=>s(t_h4s_hrats_hrat,X1)=s(t_h4s_hrats_hrat,X8)),file('i/f/hreal/HRAT__INV__MUL', ah4s_hreals_HRATu_u_EQu_u_LMUL)).
fof(21, axiom,![X10]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_inv(s(t_h4s_hrats_hrat,X10))),s(t_h4s_hrats_hrat,X10)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1),file('i/f/hreal/HRAT__INV__MUL', ah4s_hrats_HRATu_u_MULu_u_LINV)).
# SZS output end CNFRefutation
