Time: 5.141679
TRS:
 {             cond(true(), n) -> f91 f91 plus_int(pos s s s s s s s s s s s 0(), n),
              cond(false(), n) -> minus_int(n, pos s s s s s s s s s s 0()),
    lesseq_int(pos x, neg s y) -> false(),
  lesseq_int(pos s x, pos s y) -> lesseq_int(pos x, pos y),
  lesseq_int(pos s x, pos 0()) -> false(),
    lesseq_int(pos s x, neg y) -> false(),
    lesseq_int(pos 0(), pos y) -> true(),
  lesseq_int(pos 0(), neg 0()) -> true(),
      lesseq_int(neg x, pos y) -> true(),
    lesseq_int(neg x, neg 0()) -> true(),
  lesseq_int(neg s x, neg s y) -> lesseq_int(neg x, neg y),
  lesseq_int(neg 0(), neg s y) -> false(),
                         f91 n -> cond(lesseq_int(n, pos s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s 0()), n),
        plus_int(pos x, pos y) -> pos plus_nat(x, y),
        plus_int(pos x, neg y) -> minus_nat(x, y),
        plus_int(neg x, pos y) -> minus_nat(y, x),
        plus_int(neg x, neg y) -> neg plus_nat(x, y),
       minus_int(pos x, pos y) -> minus_nat(x, y),
       minus_int(pos x, neg y) -> pos plus_nat(x, y),
       minus_int(neg x, pos y) -> neg plus_nat(x, y),
       minus_int(neg x, neg y) -> minus_nat(y, x),
           minus_nat(s x, s y) -> minus_nat(x, y),
           minus_nat(s x, 0()) -> pos s x,
           minus_nat(0(), s y) -> neg s y,
           minus_nat(0(), 0()) -> pos 0(),
              plus_nat(s x, y) -> s plus_nat(x, y),
              plus_nat(0(), x) -> x}
 SRS: We consider a TRS.
  Trs:
   {             cond(true(), n) -> f91 f91 plus_int(pos s s s s s s s s s s s 0(), n),
                cond(false(), n) -> minus_int(n, pos s s s s s s s s s s 0()),
      lesseq_int(pos x, neg s y) -> false(),
    lesseq_int(pos s x, pos s y) -> lesseq_int(pos x, pos y),
    lesseq_int(pos s x, pos 0()) -> false(),
      lesseq_int(pos s x, neg y) -> false(),
      lesseq_int(pos 0(), pos y) -> true(),
    lesseq_int(pos 0(), neg 0()) -> true(),
        lesseq_int(neg x, pos y) -> true(),
      lesseq_int(neg x, neg 0()) -> true(),
    lesseq_int(neg s x, neg s y) -> lesseq_int(neg x, neg y),
    lesseq_int(neg 0(), neg s y) -> false(),
                           f91 n -> cond(lesseq_int(n, pos s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s s 0()), n),
          plus_int(pos x, pos y) -> pos plus_nat(x, y),
          plus_int(pos x, neg y) -> minus_nat(x, y),
          plus_int(neg x, pos y) -> minus_nat(y, x),
          plus_int(neg x, neg y) -> neg plus_nat(x, y),
         minus_int(pos x, pos y) -> minus_nat(x, y),
         minus_int(pos x, neg y) -> pos plus_nat(x, y),
         minus_int(neg x, pos y) -> neg plus_nat(x, y),
         minus_int(neg x, neg y) -> minus_nat(y, x),
             minus_nat(s x, s y) -> minus_nat(x, y),
             minus_nat(s x, 0()) -> pos s x,
             minus_nat(0(), s y) -> neg s y,
             minus_nat(0(), 0()) -> pos 0(),
                plus_nat(s x, y) -> s plus_nat(x, y),
                plus_nat(0(), x) -> x}
  Fail