Time: 5.258845
TRS:
 {             cu(true(), x) -> cu(less_int(x, exp x), plus_int(pos s 0(), x)),
  less_int(pos s x, pos s y) -> less_int(pos x, pos y),
  less_int(pos s x, pos 0()) -> false(),
  less_int(pos s x, neg s y) -> false(),
  less_int(pos s x, neg 0()) -> false(),
  less_int(pos 0(), pos s y) -> true(),
  less_int(pos 0(), pos 0()) -> false(),
  less_int(pos 0(), neg s y) -> false(),
  less_int(pos 0(), neg 0()) -> false(),
  less_int(neg s x, pos s y) -> true(),
  less_int(neg s x, pos 0()) -> true(),
  less_int(neg s x, neg s y) -> less_int(neg x, neg y),
  less_int(neg s x, neg 0()) -> true(),
  less_int(neg 0(), pos s y) -> true(),
  less_int(neg 0(), pos 0()) -> false(),
  less_int(neg 0(), neg s y) -> false(),
  less_int(neg 0(), neg 0()) -> false(),
                       exp x -> mult_int(pos s s 0(), x),
      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),
      mult_int(pos x, pos y) -> pos mult_nat(x, y),
      mult_int(pos x, neg y) -> neg mult_nat(x, y),
      mult_int(neg x, pos y) -> neg mult_nat(x, y),
      mult_int(neg x, neg y) -> pos mult_nat(x, y),
         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,
          mult_nat(s x, s y) -> plus_nat(mult_nat(x, s y), s y),
          mult_nat(s x, 0()) -> 0(),
            mult_nat(0(), y) -> 0()}
 SRS: We consider a TRS.
  Trs:
   {             cu(true(), x) -> cu(less_int(x, exp x), plus_int(pos s 0(), x)),
    less_int(pos s x, pos s y) -> less_int(pos x, pos y),
    less_int(pos s x, pos 0()) -> false(),
    less_int(pos s x, neg s y) -> false(),
    less_int(pos s x, neg 0()) -> false(),
    less_int(pos 0(), pos s y) -> true(),
    less_int(pos 0(), pos 0()) -> false(),
    less_int(pos 0(), neg s y) -> false(),
    less_int(pos 0(), neg 0()) -> false(),
    less_int(neg s x, pos s y) -> true(),
    less_int(neg s x, pos 0()) -> true(),
    less_int(neg s x, neg s y) -> less_int(neg x, neg y),
    less_int(neg s x, neg 0()) -> true(),
    less_int(neg 0(), pos s y) -> true(),
    less_int(neg 0(), pos 0()) -> false(),
    less_int(neg 0(), neg s y) -> false(),
    less_int(neg 0(), neg 0()) -> false(),
                         exp x -> mult_int(pos s s 0(), x),
        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),
        mult_int(pos x, pos y) -> pos mult_nat(x, y),
        mult_int(pos x, neg y) -> neg mult_nat(x, y),
        mult_int(neg x, pos y) -> neg mult_nat(x, y),
        mult_int(neg x, neg y) -> pos mult_nat(x, y),
           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,
            mult_nat(s x, s y) -> plus_nat(mult_nat(x, s y), s y),
            mult_nat(s x, 0()) -> 0(),
              mult_nat(0(), y) -> 0()}
  Fail