# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X1))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))))))),file('i/f/real/REAL__LT1__POW2', ch4s_reals_REALu_u_LT1u_u_POW2)).
fof(3, 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/real/REAL__LT1__POW2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(11, axiom,p(s(t_bool,h4s_realaxs_realu_u_lt(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,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LTu_u_01)).
fof(13, axiom,![X11]:![X1]:(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))<=>(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))|s(t_h4s_realaxs_real,X1)=s(t_h4s_realaxs_real,X11))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LEu_u_LT)).
fof(15, axiom,![X12]:![X11]:![X1]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X12)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X12))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LETu_u_TRANS)).
fof(16, axiom,![X12]:![X11]:![X1]:(p(s(t_bool,h4s_realaxs_realu_u_lt(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,X12))))=>s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X12))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X12)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11)))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LTu_u_RMUL)).
fof(19, axiom,![X11]:![X1]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X1))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(21, axiom,![X1]:~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X1))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LTu_u_REFL)).
fof(22, axiom,![X12]:![X11]:![X1]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X12)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X12))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LTEu_u_TRANS)).
fof(23, axiom,![X11]:![X1]:(~(p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11)))))<=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X1))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_NOTu_u_LE)).
fof(24, axiom,![X12]:![X11]:![X1]:((p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X11))))&p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X12)))))=>p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X12))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LTu_u_TRANS)).
fof(25, axiom,![X1]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_pow0u_c0)).
fof(32, axiom,![X18]:![X19]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X19))),s(t_h4s_nums_num,X18)))=s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X19),s(t_h4s_nums_num,X18))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_POWu_u_ABS)).
fof(34, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X1)))=s(t_h4s_realaxs_real,X1),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_MULu_u_LID)).
fof(38, axiom,![X1]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X1))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_POWu_u_2)).
fof(42, axiom,![X1]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_abs(s(t_h4s_realaxs_real,X1))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X1),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_POW2u_u_ABS)).
fof(52, axiom,![X1]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X1),s(t_h4s_realaxs_real,X1)))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(54, axiom,![X1]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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,X1)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/REAL__LT1__POW2', ah4s_reals_REALu_u_MULu_u_LZERO)).
# SZS output end CNFRefutation
