# 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(2, axiom,![X3]:![X4]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X4),s(t_h4s_hrats_hrat,X3)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X4))),file('i/f/hreal/HRAT__INV__MUL', ah4s_hrats_HRATu_u_MULu_u_SYM)).
fof(3, axiom,![X5]:![X3]:![X4]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X4),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X5)))))=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,X4),s(t_h4s_hrats_hrat,X3))),s(t_h4s_hrats_hrat,X5))),file('i/f/hreal/HRAT__INV__MUL', ah4s_hrats_HRATu_u_MULu_u_ASSOC)).
fof(4, axiom,![X6]:![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,X6)))<=>s(t_h4s_hrats_hrat,X1)=s(t_h4s_hrats_hrat,X6)),file('i/f/hreal/HRAT__INV__MUL', ah4s_hreals_HRATu_u_EQu_u_LMUL)).
fof(5, axiom,![X2]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X2),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_1),file('i/f/hreal/HRAT__INV__MUL', ah4s_hreals_HRATu_u_MULu_u_RINV)).
fof(6, axiom,![X4]: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,X4)))=s(t_h4s_hrats_hrat,X4),file('i/f/hreal/HRAT__INV__MUL', ah4s_hrats_HRATu_u_MULu_u_LID)).
# SZS output end CNFRefutation
