# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_realaxs_real,h4s_reals_u_2f(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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))=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__DIV__REFL2', ch4s_reals_REALu_u_DIVu_u_REFL2)).
fof(3, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/real/REAL__DIV__REFL2', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(4, axiom,![X6]:![X7]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X7)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X6)))<=>s(t_h4s_nums_num,X7)=s(t_h4s_nums_num,X6)),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_INJ)).
fof(9, axiom,![X12]:![X13]:![X14]:((p(s(t_bool,X14))<=>s(t_bool,X13)=s(t_bool,X12))<=>((p(s(t_bool,X14))|(p(s(t_bool,X13))|p(s(t_bool,X12))))&((p(s(t_bool,X14))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X13)))))&((p(s(t_bool,X13))|(~(p(s(t_bool,X12)))|~(p(s(t_bool,X14)))))&(p(s(t_bool,X12))|(~(p(s(t_bool,X13)))|~(p(s(t_bool,X14))))))))),file('i/f/real/REAL__DIV__REFL2', ah4s_sats_dcu_u_eq)).
fof(23, axiom,![X3]: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,X3)))=s(t_h4s_realaxs_real,X3),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_MULu_u_LID)).
fof(24, axiom,![X2]:![X3]:(~(s(t_h4s_realaxs_real,X2)=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_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))=s(t_h4s_realaxs_real,X3)),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_DIVu_u_LMUL)).
fof(27, axiom,![X6]:![X7]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X7))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X6)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_ADD)).
fof(31, axiom,![X6]:![X7]: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,X7))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X6)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,X6))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_LE)).
fof(35, 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__DIV__REFL2', ah4s_reals_REALu_u_LTu_u_01)).
fof(36, axiom,![X16]:![X2]:![X3]:((~(s(t_h4s_realaxs_real,X3)=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_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X16))))=>s(t_h4s_realaxs_real,X2)=s(t_h4s_realaxs_real,X16)),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_EQu_u_LMULu_u_IMP)).
fof(38, axiom,![X2]:![X3]:s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))=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,X2))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_LEu_u_ADDR)).
fof(41, axiom,![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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,X3)))=s(t_h4s_realaxs_real,X3),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_ADDu_u_LID)).
fof(42, axiom,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_nums_num,h4s_nums_suc(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__DIV__REFL2', ah4s_arithmetics_TWO)).
fof(45, axiom,![X7]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X7)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X7),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__DIV__REFL2', ah4s_arithmetics_ADD1)).
fof(46, axiom,![X6]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(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_nums_num,X6))),file('i/f/real/REAL__DIV__REFL2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(47, axiom,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_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/real/REAL__DIV__REFL2', ah4s_arithmetics_ONE)).
fof(50, axiom,![X3]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X3),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__DIV__REFL2', ah4s_reals_pow0u_c0)).
fof(52, axiom,![X6]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X6))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_bool,f),file('i/f/real/REAL__DIV__REFL2', ah4s_numerals_numeralu_u_lteu_c1)).
fof(54, axiom,s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/real/REAL__DIV__REFL2', ah4s_numerals_numeralu_u_sucu_c0)).
fof(57, axiom,![X6]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X6)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X6))),file('i/f/real/REAL__DIV__REFL2', ah4s_numerals_numeralu_u_addu_c6)).
fof(59, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_MULu_u_SYM)).
fof(61, axiom,![X16]:![X2]:![X3]:(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X16)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X16)))<=>s(t_h4s_realaxs_real,X3)=s(t_h4s_realaxs_real,X2)),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_EQu_u_RADD)).
fof(64, axiom,![X3]:p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X3)))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_LEu_u_REFL)).
fof(70, axiom,![X2]:![X3]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2))))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_LTu_u_IMPu_u_LE)).
fof(74, axiom,![X2]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(75, axiom,![X2]:![X3]:(~(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X2)))))<=>p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X2),s(t_h4s_realaxs_real,X3))))),file('i/f/real/REAL__DIV__REFL2', ah4s_reals_REALu_u_NOTu_u_LT)).
fof(77, axiom,~(p(s(t_bool,f))),file('i/f/real/REAL__DIV__REFL2', aHLu_FALSITY)).
fof(79, axiom,![X11]:((p(s(t_bool,X11))=>p(s(t_bool,f)))<=>s(t_bool,X11)=s(t_bool,f)),file('i/f/real/REAL__DIV__REFL2', ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
# SZS output end CNFRefutation
