# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))))=>?[X3]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X3))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X1)))))),file('i/f/hreal/HRAT__MEAN', ch4s_hreals_HRATu_u_MEAN)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/hreal/HRAT__MEAN', aHLu_TRUTH)).
fof(6, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/hreal/HRAT__MEAN', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X6]:![X7]:![X8]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X8),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X7),s(t_h4s_hrats_hrat,X6)))))=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,X8),s(t_h4s_hrats_hrat,X7))),s(t_h4s_hrats_hrat,X6))),file('i/f/hreal/HRAT__MEAN', ah4s_hrats_HRATu_u_MULu_u_ASSOC)).
fof(9, axiom,![X3]:![X1]:![X2]:s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X3))),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X3)))))=s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))),file('i/f/hreal/HRAT__MEAN', ah4s_hreals_HRATu_u_LTu_u_RMUL)).
fof(10, axiom,![X3]:![X1]:![X2]:s(t_bool,h4s_hreals_hratu_u_lt(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_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))),file('i/f/hreal/HRAT__MEAN', ah4s_hreals_HRATu_u_LTu_u_LADD)).
fof(11, axiom,![X3]:![X1]:![X2]:s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X3))),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X3)))))=s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))),file('i/f/hreal/HRAT__MEAN', ah4s_hreals_HRATu_u_LTu_u_RADD)).
fof(12, axiom,![X6]:![X7]:![X8]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X8),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X7),s(t_h4s_hrats_hrat,X6)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(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,X8),s(t_h4s_hrats_hrat,X6))))),file('i/f/hreal/HRAT__MEAN', ah4s_hrats_HRATu_u_LDISTRIB)).
fof(13, 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_1)))=s(t_h4s_hrats_hrat,X2),file('i/f/hreal/HRAT__MEAN', ah4s_hreals_HRATu_u_MULu_u_RID)).
fof(15, axiom,![X8]: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,X8))),s(t_h4s_hrats_hrat,X8)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_1),file('i/f/hreal/HRAT__MEAN', ah4s_hrats_HRATu_u_MULu_u_LINV)).
# SZS output end CNFRefutation
