# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_hrats_hrat,X2)=s(t_h4s_hrats_hrat,X1)|(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,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__LT__TOTAL', ch4s_hreals_HRATu_u_LTu_u_TOTAL)).
fof(2, axiom,![X3]:![X4]:((p(s(t_bool,X4))=>p(s(t_bool,X3)))=>((p(s(t_bool,X3))=>p(s(t_bool,X4)))=>s(t_bool,X4)=s(t_bool,X3))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(13, axiom,![X1]:![X2]:(p(s(t_bool,h4s_hreals_hratu_u_lt(s(t_h4s_hrats_hrat,X2),s(t_h4s_hrats_hrat,X1))))<=>?[X14]: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,X14)))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_hreals_hratu_u_lt0)).
fof(20, axiom,![X20]:![X21]:![X22]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X22),s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X21),s(t_h4s_hrats_hrat,X20)))))=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,X22),s(t_h4s_hrats_hrat,X21))),s(t_h4s_hrats_hrat,X20))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_hrats_HRATu_u_ADDu_u_ASSOC)).
fof(21, axiom,![X21]:![X22]:~(s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X22),s(t_h4s_hrats_hrat,X21)))=s(t_h4s_hrats_hrat,X22)),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_hrats_HRATu_u_NOZERO)).
fof(23, axiom,![X21]:![X22]:s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X22),s(t_h4s_hrats_hrat,X21)))=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X21),s(t_h4s_hrats_hrat,X22))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_hrats_HRATu_u_ADDu_u_SYM)).
fof(24, axiom,![X21]:![X22]:(s(t_h4s_hrats_hrat,X22)=s(t_h4s_hrats_hrat,X21)|(?[X14]:s(t_h4s_hrats_hrat,X22)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X21),s(t_h4s_hrats_hrat,X14)))|?[X14]:s(t_h4s_hrats_hrat,X21)=s(t_h4s_hrats_hrat,h4s_hrats_hratu_u_add(s(t_h4s_hrats_hrat,X22),s(t_h4s_hrats_hrat,X14))))),file('i/f/hreal/HRAT__LT__TOTAL', ah4s_hrats_HRATu_u_ADDu_u_TOTAL)).
# SZS output end CNFRefutation
