YES
TRS:
 {        minus(x, 0()) -> x,
  minus(minus(x, y), z) -> minus(x, plus(y, z)),
      minus(s(x), s(y)) -> minus(x, y),
        quot(0(), s(y)) -> 0(),
       quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))),
           plus(0(), y) -> y,
          plus(s(x), y) -> s(plus(x, y))}
 DP:
  Strict:
   {minus#(minus(x, y), z) -> minus#(x, plus(y, z)),
    minus#(minus(x, y), z) -> plus#(y, z),
        minus#(s(x), s(y)) -> minus#(x, y),
         quot#(s(x), s(y)) -> minus#(x, y),
         quot#(s(x), s(y)) -> quot#(minus(x, y), s(y)),
            plus#(s(x), y) -> plus#(x, y)}
  Weak:
  {        minus(x, 0()) -> x,
   minus(minus(x, y), z) -> minus(x, plus(y, z)),
       minus(s(x), s(y)) -> minus(x, y),
         quot(0(), s(y)) -> 0(),
        quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))),
            plus(0(), y) -> y,
           plus(s(x), y) -> s(plus(x, y))}
  EDG:
   {(minus#(minus(x, y), z) -> plus#(y, z), plus#(s(x), y) -> plus#(x, y))
    (quot#(s(x), s(y)) -> minus#(x, y), minus#(s(x), s(y)) -> minus#(x, y))
    (quot#(s(x), s(y)) -> minus#(x, y), minus#(minus(x, y), z) -> plus#(y, z))
    (quot#(s(x), s(y)) -> minus#(x, y), minus#(minus(x, y), z) -> minus#(x, plus(y, z)))
    (quot#(s(x), s(y)) -> quot#(minus(x, y), s(y)), quot#(s(x), s(y)) -> quot#(minus(x, y), s(y)))
    (quot#(s(x), s(y)) -> quot#(minus(x, y), s(y)), quot#(s(x), s(y)) -> minus#(x, y))
    (plus#(s(x), y) -> plus#(x, y), plus#(s(x), y) -> plus#(x, y))
    (minus#(s(x), s(y)) -> minus#(x, y), minus#(minus(x, y), z) -> minus#(x, plus(y, z)))
    (minus#(s(x), s(y)) -> minus#(x, y), minus#(minus(x, y), z) -> plus#(y, z))
    (minus#(s(x), s(y)) -> minus#(x, y), minus#(s(x), s(y)) -> minus#(x, y))
    (minus#(minus(x, y), z) -> minus#(x, plus(y, z)), minus#(minus(x, y), z) -> minus#(x, plus(y, z)))
    (minus#(minus(x, y), z) -> minus#(x, plus(y, z)), minus#(minus(x, y), z) -> plus#(y, z))
    (minus#(minus(x, y), z) -> minus#(x, plus(y, z)), minus#(s(x), s(y)) -> minus#(x, y))}
   SCCS:
    Scc:
     {plus#(s(x), y) -> plus#(x, y)}
    Scc:
     {quot#(s(x), s(y)) -> quot#(minus(x, y), s(y))}
    Scc:
     {minus#(minus(x, y), z) -> minus#(x, plus(y, z)),
          minus#(s(x), s(y)) -> minus#(x, y)}
    SCC:
     Strict:
      {plus#(s(x), y) -> plus#(x, y)}
     Weak:
     {        minus(x, 0()) -> x,
      minus(minus(x, y), z) -> minus(x, plus(y, z)),
          minus(s(x), s(y)) -> minus(x, y),
            quot(0(), s(y)) -> 0(),
           quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))),
               plus(0(), y) -> y,
              plus(s(x), y) -> s(plus(x, y))}
     SPSC:
      Simple Projection:
       pi(plus#) = 0
      Strict:
       {}
      Qed
    SCC:
     Strict:
      {quot#(s(x), s(y)) -> quot#(minus(x, y), s(y))}
     Weak:
     {        minus(x, 0()) -> x,
      minus(minus(x, y), z) -> minus(x, plus(y, z)),
          minus(s(x), s(y)) -> minus(x, y),
            quot(0(), s(y)) -> 0(),
           quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))),
               plus(0(), y) -> y,
              plus(s(x), y) -> s(plus(x, y))}
     POLY:
      Argument Filtering:
       pi(plus) = [], pi(quot#) = 0, pi(quot) = [], pi(s) = [0], pi(0) = [], pi(minus) = 0
      Usable Rules:
       {}
      Interpretation:
       [s](x0) = x0 + 1
      Strict:
       {}
      Weak:
       {        minus(x, 0()) -> x,
        minus(minus(x, y), z) -> minus(x, plus(y, z)),
            minus(s(x), s(y)) -> minus(x, y),
              quot(0(), s(y)) -> 0(),
             quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))),
                 plus(0(), y) -> y,
                plus(s(x), y) -> s(plus(x, y))}
      Qed
    SCC:
     Strict:
      {minus#(minus(x, y), z) -> minus#(x, plus(y, z)),
           minus#(s(x), s(y)) -> minus#(x, y)}
     Weak:
     {        minus(x, 0()) -> x,
      minus(minus(x, y), z) -> minus(x, plus(y, z)),
          minus(s(x), s(y)) -> minus(x, y),
            quot(0(), s(y)) -> 0(),
           quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))),
               plus(0(), y) -> y,
              plus(s(x), y) -> s(plus(x, y))}
     SPSC:
      Simple Projection:
       pi(minus#) = 0
      Strict:
       {minus#(s(x), s(y)) -> minus#(x, y)}
      EDG:
       {(minus#(s(x), s(y)) -> minus#(x, y), minus#(s(x), s(y)) -> minus#(x, y))}
       SCCS:
        Scc:
         {minus#(s(x), s(y)) -> minus#(x, y)}
        SCC:
         Strict:
          {minus#(s(x), s(y)) -> minus#(x, y)}
         Weak:
         {        minus(x, 0()) -> x,
          minus(minus(x, y), z) -> minus(x, plus(y, z)),
              minus(s(x), s(y)) -> minus(x, y),
                quot(0(), s(y)) -> 0(),
               quot(s(x), s(y)) -> s(quot(minus(x, y), s(y))),
                   plus(0(), y) -> y,
                  plus(s(x), y) -> s(plus(x, y))}
         SPSC:
          Simple Projection:
           pi(minus#) = 0
          Strict:
           {}
          Qed