# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:?[X3]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X3),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))))),file('i/f/hreal/HRAT__DOWN2', ch4s_hreals_HRATu_u_DOWN2)).
fof(4, 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__DOWN2', ah4s_hreals_hratu_u_lt0)).
fof(5, axiom,![X1]:![X2]:p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1)))))),file('i/f/hreal/HRAT__DOWN2', ah4s_hreals_HRATu_u_LTu_u_ADDL)).
fof(6, axiom,![X2]:?[X1]:p(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__DOWN2', ah4s_hreals_HRATu_u_DOWN)).
fof(7, 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__DOWN2', ah4s_hrats_HRATu_u_ADDu_u_ASSOC)).
fof(8, axiom,![X8]:![X9]:(s(t_h4s_hrats_hrat,X9)=s(t_h4s_hrats_hrat,X8)|(?[X6]: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,X6)))|?[X6]:s(t_h4s_hrats_hrat,X8)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X9),s(t_h4s_hrats_hrat,X6))))),file('i/f/hreal/HRAT__DOWN2', ah4s_hrats_HRATu_u_ADDu_u_TOTAL)).
# SZS output end CNFRefutation
