# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/SUP__LEMMA3', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/SUP__LEMMA3', aHLu_FALSITY)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/real/SUP__LEMMA3', aHLu_BOOLu_CASES)).
fof(8, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/SUP__LEMMA3', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(28, axiom,![X10]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6))),file('i/f/real/SUP__LEMMA3', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(81, axiom,![X11]:![X10]:![X6]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X11)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11))),s(t_h4s_realaxs_real,X10))),file('i/f/real/SUP__LEMMA3', ah4s_reals_REALu_u_LTu_u_SUBu_u_LADD)).
fof(133, conjecture,![X8]:![X9]:(?[X11]:![X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X9),s(t_h4s_realaxs_real,X6))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11)))))=>?[X11]:![X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X9),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11)))))),file('i/f/real/SUP__LEMMA3', ch4s_reals_SUPu_u_LEMMA3)).
# SZS output end CNFRefutation
