# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, axiom,p(s(t_bool,t)),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', aHLu_TRUTH)).
fof(3, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)|s(t_bool,X1)=s(t_bool,f)),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', aHLu_BOOLu_CASES)).
fof(10, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t)<=>p(s(t_bool,X1))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(11, 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/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_bools_CONDu_u_CLAUSESu_c0)).
fof(12, 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/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(13, axiom,![X9]:![X10]:![X6]:s(t_h4s_pairs_prod(X9,X10),h4s_pairs_u_2c(s(X9,h4s_pairs_fst(s(t_h4s_pairs_prod(X9,X10),X6))),s(X10,h4s_pairs_snd(s(t_h4s_pairs_prod(X9,X10),X6)))))=s(t_h4s_pairs_prod(X9,X10),X6),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_pairs_PAIR)).
fof(14, axiom,![X11]:![X6]:s(t_h4s_realaxs_real,h4s_reals_u_2f(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X11)))=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,X11))))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_reals_realu_u_div)).
fof(15, axiom,![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_nums_0))),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))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_reals_REALu_u_MULu_u_LZERO)).
fof(16, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(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_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_reals_REALu_u_MULu_u_RZERO)).
fof(17, axiom,![X12]:![X4]:![X13]:s(t_h4s_nums_num,h4s_ieees_exponent(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,X12),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X4)))))))=s(t_h4s_nums_num,X13),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_exponent0)).
fof(18, axiom,![X12]:![X4]:![X13]:s(t_h4s_nums_num,h4s_ieees_fraction(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,X12),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X4)))))))=s(t_h4s_nums_num,X4),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_fraction0)).
fof(19, axiom,![X14]:![X15]:(p(s(t_bool,h4s_ieees_isu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X14))))<=>(s(t_h4s_nums_num,h4s_ieees_exponent(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X14)))=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,h4s_ieees_fraction(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X14)))=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_isu_u_zero0)).
fof(20, axiom,![X15]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_plusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_plusu_u_zero0)).
fof(21, axiom,![X15]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_minusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(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_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_minusu_u_zero0)).
fof(22, axiom,![X12]:![X4]:![X13]:![X15]:?[X16]:((p(s(t_bool,X16))<=>s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_realaxs_real,h4s_ieees_valof(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_pairs_u_2c(s(t_h4s_nums_num,X12),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_pairs_u_2c(s(t_h4s_nums_num,X13),s(t_h4s_nums_num,X4)))))))=s(t_h4s_realaxs_real,h4s_bools_cond(s(t_bool,X16),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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_nums_num,X12))),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_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_ieees_bias(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15))))))))),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,X4))),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_ieees_fracwidth(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15))))))))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_reals_pow(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(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_nums_num,X12))),s(t_h4s_realaxs_real,h4s_reals_u_2f(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,X13))),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_ieees_bias(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15))))))))),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_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_u_2f(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X4))),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_ieees_fracwidth(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15)))))))))))))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_valof0)).
fof(23, axiom,![X12]:![X14]:![X15]:?[X16]:((p(s(t_bool,X16))<=>s(t_h4s_nums_num,X12)=s(t_h4s_nums_num,h4s_nums_0))&s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_zerosign(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15),s(t_h4s_nums_num,X12),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X14)))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_bools_cond(s(t_bool,h4s_ieees_isu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X14))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_bools_cond(s(t_bool,X16),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_plusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_minusu_u_zero(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),X15))))),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),X14)))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_ieees_zerosign0)).
fof(24, axiom,![X6]:![X17]:s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_defloat(s(t_h4s_ieees_float,h4s_ieees_float0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_zerosign(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_nums_num,X17),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X6)))))))))=s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_zerosign(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_nums_num,X17),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X6))))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ah4s_floats_DEFLOATu_u_FLOATu_u_ZEROSIGNu_u_ROUND)).
fof(25, conjecture,![X6]:![X17]:s(t_h4s_realaxs_real,h4s_ieees_valof(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_defloat(s(t_h4s_ieees_float,h4s_ieees_float0(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_zerosign(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_nums_num,X17),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X6)))))))))))=s(t_h4s_realaxs_real,h4s_ieees_valof(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num)),h4s_ieees_round(s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_nums_num),h4s_ieees_floatu_u_format),s(t_h4s_ieees_roundmode,h4s_ieees_tou_u_nearest),s(t_h4s_realaxs_real,X6))))),file('i/f/float/VALOF__DEFLOAT__FLOAT__ZEROSIGN__ROUND', ch4s_floats_VALOFu_u_DEFLOATu_u_FLOATu_u_ZEROSIGNu_u_ROUND)).
# SZS output end CNFRefutation
