# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/real/ABS__BOUNDS', aHLu_TRUTH)).
fof(2, axiom,~(p(s(t_bool,f))),file('i/f/real/ABS__BOUNDS', 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/ABS__BOUNDS', aHLu_BOOLu_CASES)).
fof(13, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/real/ABS__BOUNDS', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(14, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,t),s(X9,X8),s(X9,X7)))=s(X9,X8),file('i/f/real/ABS__BOUNDS', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(15, axiom,![X9]:![X7]:![X8]:s(X9,h4s_bools_cond(s(t_bool,f),s(X9,X8),s(X9,X7)))=s(X9,X7),file('i/f/real/ABS__BOUNDS', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(25, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,X6),file('i/f/real/ABS__BOUNDS', ah4s_reals_REALu_u_NEGNEG)).
fof(26, axiom,![X10]:![X6]:(~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6))))),file('i/f/real/ABS__BOUNDS', ah4s_reals_REALu_u_NOTu_u_LE)).
fof(27, axiom,![X10]:![X6]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))),file('i/f/real/ABS__BOUNDS', ah4s_reals_REALu_u_LTu_u_IMPu_u_LE)).
fof(28, axiom,![X16]:![X10]:![X6]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X10))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X16)))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X16))))),file('i/f/real/ABS__BOUNDS', ah4s_reals_REALu_u_LEu_u_TRANS)).
fof(29, axiom,![X6]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X6)))=s(t_bool,h4s_reals_realu_u_lte(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/ABS__BOUNDS', ah4s_reals_REALu_u_LEu_u_NEGL)).
fof(31, axiom,![X10]:![X6]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X10)))))=s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X10),s(t_h4s_realaxs_real,X6))),file('i/f/real/ABS__BOUNDS', ah4s_reals_REALu_u_LEu_u_NEG)).
fof(32, axiom,![X6]:s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X6)))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,h4s_reals_realu_u_lte(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))),s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6))))),file('i/f/real/ABS__BOUNDS', ah4s_reals_abs0)).
fof(33, conjecture,![X6]:![X17]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X6))),s(t_h4s_realaxs_real,X17))))<=>(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X17))),s(t_h4s_realaxs_real,X6))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X17)))))),file('i/f/real/ABS__BOUNDS', ch4s_reals_ABSu_u_BOUNDS)).
# SZS output end CNFRefutation
