# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,p(s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(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_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(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_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_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))))))))))))))))),file('i/f/float/RRRC7', ch4s_floats_RRRC7)).
fof(18, axiom,![X14]:![X13]:![X3]:s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X13))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X14)))))=s(t_bool,h4s_realaxs_realu_u_lt(s(t_h4s_realaxs_real,X13),s(t_h4s_realaxs_real,X14))),file('i/f/float/RRRC7', ah4s_reals_REALu_u_LTu_u_LADD)).
fof(22, axiom,![X15]:![X16]: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,X16))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X15)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X16),s(t_h4s_nums_num,X15))),file('i/f/float/RRRC7', ah4s_floats_REALu_u_OFu_u_NUMu_u_LT0)).
fof(23, axiom,![X3]:![X15]: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,X3))),s(t_h4s_nums_num,X15)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X15))))),file('i/f/float/RRRC7', ah4s_reals_REALu_u_OFu_u_NUMu_u_POW)).
fof(24, axiom,![X15]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/float/RRRC7', ah4s_numerals_numeralu_u_distribu_c17)).
fof(25, axiom,![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X15))),file('i/f/float/RRRC7', ah4s_numerals_numeralu_u_distribu_c21)).
fof(26, axiom,![X15]:s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X15))),s(t_h4s_nums_num,h4s_nums_0)))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_arithmetics_zero))),file('i/f/float/RRRC7', ah4s_numerals_numeralu_u_distribu_c27)).
fof(27, axiom,![X15]:s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X15)))))=s(t_bool,t),file('i/f/float/RRRC7', ah4s_numerals_numeralu_u_ltu_c1)).
fof(29, axiom,![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(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,X3),file('i/f/float/RRRC7', ah4s_reals_REALu_u_ADDu_u_RID)).
fof(31, axiom,![X13]:![X3]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X13)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X13))))),file('i/f/float/RRRC7', ah4s_reals_realu_u_sub0)).
fof(35, axiom,![X13]:![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X3),s(t_h4s_realaxs_real,X13)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X13),s(t_h4s_realaxs_real,X3))),file('i/f/float/RRRC7', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(46, axiom,![X13]:![X3]:(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,h4s_arithmetics_exp(s(t_h4s_nums_num,X3),s(t_h4s_nums_num,X13))))))<=>(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X3))))|s(t_h4s_nums_num,X13)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/float/RRRC7', ah4s_arithmetics_ZEROu_u_LTu_u_EXP)).
fof(48, axiom,![X15]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X15)))),file('i/f/float/RRRC7', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(50, axiom,![X15]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X15),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/float/RRRC7', ah4s_arithmetics_LEu_c0)).
fof(51, axiom,p(s(t_bool,t)),file('i/f/float/RRRC7', aHLu_TRUTH)).
fof(52, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t)|s(t_bool,X2)=s(t_bool,f)),file('i/f/float/RRRC7', aHLu_BOOLu_CASES)).
fof(57, axiom,(~(p(s(t_bool,t)))<=>p(s(t_bool,f))),file('i/f/float/RRRC7', ah4s_bools_NOTu_u_CLAUSESu_c1)).
fof(61, axiom,![X3]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,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))),file('i/f/float/RRRC7', ah4s_reals_REALu_u_ADDu_u_LINV)).
# SZS output end CNFRefutation
