# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/SUP__LEMMA1', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/SUP__LEMMA1', aHLu_FALSITY)).
fof(6, axiom,![X7]:![X8]:((p(s(t_bool,X8))=>p(s(t_bool,X7)))=>((p(s(t_bool,X7))=>p(s(t_bool,X8)))=>s(t_bool,X8)=s(t_bool,X7))),file('i/f/real/SUP__LEMMA1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(9, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/SUP__LEMMA1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X11]:![X10]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X11)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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,X11))),file('i/f/real/SUP__LEMMA1', ah4s_reals_REALu_u_ADDu_u_ASSOC)).
fof(11, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/SUP__LEMMA1', ah4s_reals_REALu_u_ADDu_u_LINV)).
fof(12, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))))=s(t_h4s_realaxs_real,X6),file('i/f/real/SUP__LEMMA1', ah4s_reals_REALu_u_ADDu_u_RID)).
fof(13, axiom,![X11]:![X10]:![X6]: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,h4s_realaxs_realu_u_neg(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,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X10))))),file('i/f/real/SUP__LEMMA1', ah4s_reals_REALu_u_LTu_u_ADDNEG2)).
fof(14, conjecture,![X12]:![X13]:![X14]:(![X10]:(?[X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X14),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X13))))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X12)))))=>![X10]:(?[X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_realaxs_real,t_bool),X14),s(t_h4s_realaxs_real,X6))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,X13)))))))),file('i/f/real/SUP__LEMMA1', ch4s_reals_SUPu_u_LEMMA1)).
# SZS output end CNFRefutation
