# 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)))),file('i/f/hreal/HRAT__DOWN', ch4s_hreals_HRATu_u_DOWN)).
fof(4, axiom,![X2]:![X1]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X2))))<=>?[X3]:s(t_h4s_hrats_hrat,X2)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X3)))),file('i/f/hreal/HRAT__DOWN', ah4s_hreals_hratu_u_lt0)).
fof(7, axiom,![X6]: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,X6)))=s(t_h4s_hrats_hrat,X6),file('i/f/hreal/HRAT__DOWN', ah4s_hrats_HRATu_u_MULu_u_LID)).
fof(8, axiom,![X2]:![X1]:s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X2))),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,h4s_hrats_hratu_u_1))),file('i/f/hreal/HRAT__DOWN', ah4s_hreals_HRATu_u_LTu_u_RMUL1)).
fof(9, axiom,![X2]:![X1]:s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_mul(s(t_h4s_hrats_hrat,X1),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)))=s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X1),s(t_h4s_hrats_hrat,X2))),file('i/f/hreal/HRAT__DOWN', ah4s_hreals_HRATu_u_LTu_u_R1)).
# SZS output end CNFRefutation
