# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(18, axiom,![X8]:![X6]:(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))=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_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X8)))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_LNEGu_u_UNIQ)).
fof(28, axiom,![X8]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_MULu_u_COMM)).
fof(30, axiom,![X20]:![X21]:(s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X21)))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X20)))<=>s(t_h4s_nums_num,X21)=s(t_h4s_nums_num,X20)),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_INJ)).
fof(37, axiom,![X8]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X8)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_MULu_u_RNEG)).
fof(38, axiom,![X8]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X6))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_ADDu_u_SYM)).
fof(57, 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/HolSmt/r141', ah4s_reals_REALu_u_MULu_u_RZERO)).
fof(60, axiom,![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X6)))))=s(t_h4s_realaxs_real,X6),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_NEGu_u_NEG)).
fof(72, axiom,![X20]:![X21]: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,X21))),s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,X20)))))=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,X21),s(t_h4s_nums_num,X20))))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_OFu_u_NUMu_u_MUL)).
fof(84, axiom,![X20]:s(t_h4s_nums_num,h4s_arithmetics_u_2a(s(t_h4s_nums_num,h4s_arithmetics_zero),s(t_h4s_nums_num,X20)))=s(t_h4s_nums_num,h4s_arithmetics_zero),file('i/f/HolSmt/r141', ah4s_numerals_numeralu_u_multu_c0)).
fof(85, 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/HolSmt/r141', ah4s_numerals_iDUBu_u_removalu_c2)).
fof(94, axiom,![X7]:![X8]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X8),s(t_h4s_realaxs_real,X7)))))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8))),s(t_h4s_realaxs_real,X7))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_ADDu_u_ASSOC)).
fof(98, axiom,![X8]:![X6]:s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))))=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,X6))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X8))))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_NEGu_u_ADD)).
fof(112, axiom,![X8]:![X6]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,X8)))=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X6),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X8))))),file('i/f/HolSmt/r141', ah4s_reals_realu_u_sub0)).
fof(129, axiom,![X6]:s(t_h4s_realaxs_real,h4s_reals_realu_u_sub(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_nums_0))),file('i/f/HolSmt/r141', ah4s_reals_REALu_u_SUBu_u_REFL)).
fof(133, conjecture,![X7]:![X8]:![X9]:![X11]:![X12]:(s(t_h4s_realaxs_real,X12)=s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X11))),s(t_h4s_realaxs_real,X8))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_neg(s(t_h4s_realaxs_real,X9))),s(t_h4s_realaxs_real,X7)))))<=>s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X11),s(t_h4s_realaxs_real,X8))),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_add(s(t_h4s_realaxs_real,X12),s(t_h4s_realaxs_real,h4s_realaxs_realu_u_mul(s(t_h4s_realaxs_real,X9),s(t_h4s_realaxs_real,X7)))))))=s(t_h4s_realaxs_real,h4s_reals_realu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0)))),file('i/f/HolSmt/r141', ch4s_HolSmts_r141)).
# SZS output end CNFRefutation
