# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(7, 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__DENOM__CANCEL2', ah4s_arithmetics_TWO)).
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,X6)))=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_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero))))))),s(t_h4s_realaxs_real,X6))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_DOUBLE)).
fof(20, axiom,![X10]:![X13]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X13)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X10)))<=>s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,X10)),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_INJ)).
fof(29, axiom,![X10]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X10)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X10)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_numerals_numeralu_u_distribu_c17)).
fof(31, axiom,![X10]: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,X10))),s(t_h4s_realaxs_real,h4s_reals_pow(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_nums_num,X10)))))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_POWu_u_2u_u_LT)).
fof(35, axiom,![X21]:![X9]:![X6]:(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X21)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X21)))<=>s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,X9)),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_EQu_u_RADD)).
fof(41, axiom,![X10]:![X13]: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,X13))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X10)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X10))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_LT)).
fof(42, axiom,![X10]:p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_primu_u_recs_LESSu_u_0)).
fof(45, axiom,![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))))=>s(t_h4s_realaxs_real,h4s_reals_u_2f(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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_DIVu_u_REFL)).
fof(50, axiom,![X6]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X6),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__DENOM__CANCEL2', ah4s_reals_pow0u_c0)).
fof(53, axiom,![X9]:![X6]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X9)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_inv(s(t_h4s_realaxs_real,X9))))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_realu_u_div)).
fof(58, axiom,![X10]:![X13]: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,X13))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X10)))))=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,X13),s(t_h4s_nums_num,X10))))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_ADD)).
fof(61, axiom,![X13]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X13)))=s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),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__DENOM__CANCEL2', ah4s_arithmetics_ADD1)).
fof(78, axiom,![X9]:![X6]:(p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X9))))=>~(s(t_h4s_realaxs_real,X6)=s(t_h4s_realaxs_real,X9))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_LTu_u_IMPu_u_NE)).
fof(81, axiom,![X10]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_arithmetics_zero)))))=s(t_h4s_nums_num,X10),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_numerals_numeralu_u_addu_c1)).
fof(86, axiom,![X10]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X10),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_numerals_numeralu_u_distribu_c1)).
fof(89, axiom,![X10]: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,X10)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_numerals_numeralu_u_addu_c6)).
fof(91, axiom,![X10]:![X13]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X10))),s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X13)))))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X10),s(t_h4s_nums_num,X13))))))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_numerals_numeralu_u_addu_c2)).
fof(93, 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__DENOM__CANCEL2', ah4s_numerals_numeralu_u_sucu_c0)).
fof(95, axiom,![X10]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X10)))=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,X10))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
fof(121, axiom,![X6]: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,X6)))=s(t_h4s_realaxs_real,X6),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_ADDu_u_LID)).
fof(124, axiom,![X22]:![X16]:![X17]:(~(s(t_h4s_realaxs_real,X22)=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_u_2f(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X17),s(t_h4s_realaxs_real,X22))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X16),s(t_h4s_realaxs_real,X22)))))=s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X17),s(t_h4s_realaxs_real,X16)))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ah4s_reals_REALu_u_DIVu_u_RMULu_u_CANCEL)).
fof(133, conjecture,![X21]:![X9]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X9),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_u_2f(s(t_h4s_realaxs_real,X21),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_u_2f(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X21))),file('i/f/real/REAL__DIV__DENOM__CANCEL2', ch4s_reals_REALu_u_DIVu_u_DENOMu_u_CANCEL2)).
# SZS output end CNFRefutation
