# 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(13, axiom,![X17]:![X18]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X18),s(t_h4s_hrats_hrat,X17)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X17),s(t_h4s_hrats_hrat,X18))),file('i/f/hreal/HRAT__EQ__LMUL', ah4s_hrats_HRATu_u_MULu_u_SYM)).
fof(16, axiom,![X19]:![X17]:![X18]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X18),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X17),s(t_h4s_hrats_hrat,X19)))))=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,X18),s(t_h4s_hrats_hrat,X17))),s(t_h4s_hrats_hrat,X19))),file('i/f/hreal/HRAT__EQ__LMUL', ah4s_hrats_HRATu_u_MULu_u_ASSOC)).
fof(34, axiom,![X3]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_inv(s(t_h4s_hrats_hrat,X3)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1),file('i/f/hreal/HRAT__EQ__LMUL', ah4s_hreals_HRATu_u_MULu_u_RINV)).
fof(35, axiom,![X3]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1)))=s(t_h4s_hrats_hrat,X3),file('i/f/hreal/HRAT__EQ__LMUL', ah4s_hreals_HRATu_u_MULu_u_RID)).
# SZS output end CNFRefutation
