# 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,![X4]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X4),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,X4),file('i/f/float/v23not0', ah4s_reals_REALu_u_MULu_u_RID)).
fof(13, axiom,![X8]:![X10]:(~(s(t_h4s_realaxs_real,X10)=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_pow(s(t_h4s_realaxs_real,X10),s(t_h4s_nums_num,X8)))=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_POWu_u_NZ)).
fof(16, axiom,![X8]:![X9]: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,X9))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X8)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X9),s(t_h4s_nums_num,X8))),file('i/f/float/v23not0', ah4s_reals_REALu_u_OFu_u_NUMu_u_LE)).
fof(17, axiom,![X8]:![X9]: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,X9))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X8)))))=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,X9),s(t_h4s_nums_num,X8))))),file('i/f/float/v23not0', ah4s_reals_REALu_u_OFu_u_NUMu_u_MUL)).
fof(19, axiom,![X8]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X8)))),file('i/f/float/v23not0', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(20, axiom,![X8]:(p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,h4s_nums_0))))<=>s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/float/v23not0', ah4s_arithmetics_LEu_c0)).
fof(21, axiom,![X8]:(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_nums_0)<=>s(t_h4s_nums_num,X8)=s(t_h4s_nums_num,h4s_arithmetics_zero)),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_distribu_c17)).
fof(22, axiom,![X8]:(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_zero)<=>p(s(t_bool,f))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_equ_c3)).
fof(29, axiom,![X8]:![X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X9)))))=s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_distribu_c5)).
fof(31, axiom,![X8]:s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_arithmetics_bit1(s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X8))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_sucu_c1)).
fof(34, axiom,![X8]:![X9]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_bit2(s(t_h4s_nums_num,X8))),s(t_h4s_nums_num,X9)))=s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X9))),s(t_h4s_nums_num,X9))))))),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_multu_c3)).
fof(35, axiom,![X8]:s(t_h4s_nums_num,h4s_numerals_iz(s(t_h4s_nums_num,h4s_arithmetics_u_2b(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X8)))))=s(t_h4s_nums_num,X8),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_addu_c0)).
fof(36, axiom,s(t_h4s_nums_num,h4s_numerals_idub(s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/float/v23not0', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(37, axiom,![X8]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X8)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/float/v23not0', ah4s_numerals_numeralu_u_multu_c0)).
fof(38, axiom,p(s(t_bool,t)),file('i/f/float/v23not0', aHLu_TRUTH)).
fof(39, axiom,~(p(s(t_bool,f))),file('i/f/float/v23not0', aHLu_FALSITY)).
fof(47, axiom,![X1]:(s(t_bool,t)=s(t_bool,X1)<=>p(s(t_bool,X1))),file('i/f/float/v23not0', ah4s_bools_EQu_u_CLAUSESu_c0)).
# SZS output end CNFRefutation
