# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:((p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X4),s(t_h4s_hrats_hrat,X2))))&p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),s(t_h4s_hrats_hrat,X1)))))=>p(s(t_bool,h4s_hreals_hratu_u_lt(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,X2),s(t_h4s_hrats_hrat,X1))))))),file('i/f/hreal/HRAT__LT__MUL2', ch4s_hreals_HRATu_u_LTu_u_MUL2)).
fof(3, axiom,![X1]:![X2]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))))<=>?[X6]:s(t_h4s_hrats_hrat,X1)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X6)))),file('i/f/hreal/HRAT__LT__MUL2', ah4s_hreals_hratu_u_lt0)).
fof(4, 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_add(s(t_h4s_hrats_hrat,X8),s(t_h4s_hrats_hrat,X7)))))=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,X9),s(t_h4s_hrats_hrat,X8))),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X7))))),file('i/f/hreal/HRAT__LT__MUL2', ah4s_hrats_HRATu_u_LDISTRIB)).
fof(5, axiom,![X10]:![X1]:![X2]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))),s(t_h4s_hrats_hrat,X10)))=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,X2),s(t_h4s_hrats_hrat,X10))),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X10))))),file('i/f/hreal/HRAT__LT__MUL2', ah4s_hreals_HRATu_u_RDISTRIB)).
fof(6, axiom,![X7]:![X8]:![X9]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X8),s(t_h4s_hrats_hrat,X7)))))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X8))),s(t_h4s_hrats_hrat,X7))),file('i/f/hreal/HRAT__LT__MUL2', ah4s_hrats_HRATu_u_ADDu_u_ASSOC)).
# SZS output end CNFRefutation
