# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,~(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,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit1(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_nums_0)))),file('i/f/float/v23not0', ch4s_floats_v23not0)).
fof(11, axiom,![X12]:![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,X12)))<=>s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,X12)),file('i/f/float/v23not0', ah4s_reals_REALu_u_INJ)).
fof(18, axiom,![X5]: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,X5)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/float/v23not0', ah4s_reals_REALu_u_MULu_u_LZERO)).
fof(20, axiom,![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),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,X5),file('i/f/float/v23not0', ah4s_reals_REALu_u_MULu_u_RID)).
fof(23, axiom,![X12]:![X13]: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,X13))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X12)))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))),file('i/f/float/v23not0', ah4s_reals_REALu_u_OFu_u_NUMu_u_MUL)).
fof(24, axiom,![X12]:p(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_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,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,X12)))))),file('i/f/float/v23not0', ah4s_reals_POWu_u_2u_u_LE1)).
fof(28, axiom,![X5]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X5),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/float/v23not0', ah4s_reals_pow0u_c0)).
fof(30, axiom,![X12]:![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,X12)))))=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,X12))))),file('i/f/float/v23not0', ah4s_reals_REALu_u_ADD)).
fof(33, axiom,![X12]:p(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,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X12)))))),file('i/f/float/v23not0', ah4s_reals_REALu_u_POS)).
fof(36, axiom,![X12]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/float/v23not0', ah4s_nums_NOTu_u_SUC)).
fof(37, axiom,![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,h4s_nums_0)))=s(t_h4s_nums_num,X13),file('i/f/float/v23not0', ah4s_arithmetics_ADDu_u_CLAUSESu_c1)).
fof(39, axiom,![X5]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X5),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,X5),s(t_h4s_realaxs_real,X5))),file('i/f/float/v23not0', ah4s_reals_POWu_u_2)).
fof(46, axiom,![X4]:![X5]:((p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4))))&p(s(t_bool,h4s_reals_realu_u_lte(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X5)))))<=>s(t_h4s_realaxs_real,X5)=s(t_h4s_realaxs_real,X4)),file('i/f/float/v23not0', ah4s_reals_REALu_u_LEu_u_ANTISYM)).
fof(47, axiom,![X5]:![X12]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X5),s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X5),s(t_h4s_nums_num,X12))))),file('i/f/float/v23not0', ah4s_reals_pow0u_c1)).
fof(48, axiom,![X4]:![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X5))),file('i/f/float/v23not0', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(51, axiom,![X4]:![X5]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X5),s(t_h4s_realaxs_real,X4)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X4),s(t_h4s_realaxs_real,X5))),file('i/f/float/v23not0', ah4s_reals_REALu_u_MULu_u_SYM)).
fof(53, axiom,![X5]:![X12]:![X13]:s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X5),s(t_h4s_nums_num,X13))),s(t_h4s_nums_num,X12)))=s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,X5),s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X12))))),file('i/f/float/v23not0', ah4s_reals_REALu_u_POWu_u_POW)).
fof(54, 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/float/v23not0', ah4s_arithmetics_TWO)).
fof(56, axiom,![X12]:![X13]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X12))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X13)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X12),s(t_h4s_nums_num,X13))))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_distribu_c5)).
fof(57, 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/float/v23not0', ah4s_arithmetics_ADD1)).
fof(58, 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/float/v23not0', ah4s_numerals_numeralu_u_sucu_c0)).
fof(59, axiom,![X12]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12))))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_sucu_c2)).
fof(61, axiom,![X12]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X12)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X12))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_sucu_c1)).
fof(65, axiom,![X12]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X12)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_multu_c0)).
fof(66, axiom,![X12]: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,X12)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X12))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_addu_c6)).
fof(67, axiom,p(s(t_bool,t)),file('i/f/float/v23not0', aHLu_TRUTH)).
fof(70, axiom,![X6]:(s(t_bool,X6)=s(t_bool,t)<=>p(s(t_bool,X6))),file('i/f/float/v23not0', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
