# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(s(t_h4s_hreals_hreal,X2)=s(t_h4s_hreals_hreal,X1)|(?[X3]:s(t_h4s_hreals_hreal,X1)=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X2),s(t_h4s_hreals_hreal,X3)))|?[X3]:s(t_h4s_hreals_hreal,X2)=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X1),s(t_h4s_hreals_hreal,X3))))),file('i/f/hreal/HREAL__ADD__TOTAL', ch4s_hreals_HREALu_u_ADDu_u_TOTAL)).
fof(3, axiom,![X9]:![X10]:((p(s(t_bool,X10))=>p(s(t_bool,X9)))=>((p(s(t_bool,X9))=>p(s(t_bool,X10)))=>s(t_bool,X10)=s(t_bool,X9))),file('i/f/hreal/HREAL__ADD__TOTAL', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(31, axiom,![X1]:![X2]:s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X2),s(t_h4s_hreals_hreal,X1)))=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X1),s(t_h4s_hreals_hreal,X2))),file('i/f/hreal/HREAL__ADD__TOTAL', ah4s_hreals_HREALu_u_ADDu_u_SYM)).
fof(34, axiom,![X1]:![X2]:(p(s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,X2),s(t_h4s_hreals_hreal,X1))))<=>?[X3]:s(t_h4s_hreals_hreal,X1)=s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,X2),s(t_h4s_hreals_hreal,X3)))),file('i/f/hreal/HREAL__ADD__TOTAL', ah4s_hreals_HREALu_u_LT)).
fof(36, axiom,![X1]:![X2]:(p(s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,X2),s(t_h4s_hreals_hreal,X1))))=>s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_add(s(t_h4s_hreals_hreal,h4s_hreals_hrealu_u_sub(s(t_h4s_hreals_hreal,X1),s(t_h4s_hreals_hreal,X2))),s(t_h4s_hreals_hreal,X2)))=s(t_h4s_hreals_hreal,X1)),file('i/f/hreal/HREAL__ADD__TOTAL', ah4s_hreals_HREALu_u_SUBu_u_ADD)).
fof(49, axiom,![X2]:?[X8]:~(p(s(t_bool,happ(s(t_fun(t_h4s_hrats_hrat,t_bool),h4s_hreals_cut(s(t_h4s_hreals_hreal,X2))),s(t_h4s_hrats_hrat,X8))))),file('i/f/hreal/HREAL__ADD__TOTAL', ah4s_hreals_CUTu_u_BOUNDED)).
fof(81, axiom,![X1]:![X2]:(s(t_h4s_hreals_hreal,X2)=s(t_h4s_hreals_hreal,X1)|(p(s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,X2),s(t_h4s_hreals_hreal,X1))))|p(s(t_bool,h4s_hreals_hrealu_u_lt(s(t_h4s_hreals_hreal,X1),s(t_h4s_hreals_hreal,X2)))))),file('i/f/hreal/HREAL__ADD__TOTAL', ah4s_hreals_HREALu_u_LTu_u_TOTAL)).
# SZS output end CNFRefutation
