# 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_mul(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X2)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(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__LMUL', ch4s_hreals_HRATu_u_EQu_u_LMUL)).
fof(6, axiom,![X7]:![X8]:![X9]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X8),s(t_h4s_hrats_hrat,X7)))))=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,X9),s(t_h4s_hrats_hrat,X8))),s(t_h4s_hrats_hrat,X7))),file('i/f/hreal/HRAT__EQ__LMUL', ah4s_hrats_HRATu_u_MULu_u_ASSOC)).
fof(7, axiom,![X9]: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,X9)))=s(t_h4s_hrats_hrat,X9),file('i/f/hreal/HRAT__EQ__LMUL', ah4s_hrats_HRATu_u_MULu_u_LID)).
fof(8, axiom,![X9]: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,X9))),s(t_h4s_hrats_hrat,X9)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1),file('i/f/hreal/HRAT__EQ__LMUL', ah4s_hrats_HRATu_u_MULu_u_LINV)).
# SZS output end CNFRefutation
