MAYBE
TRS:
 {    minus(x, 0()) -> x,
  minus(s(x), s(y)) -> minus(x, y),
         le(0(), y) -> true(),
      le(s(x), 0()) -> false(),
     le(s(x), s(y)) -> le(x, y),
    quot(0(), s(y)) -> 0(),
   quot(s(x), s(y)) -> s(quot(minus(s(x), s(y)), s(y)))}
 DP:
  Strict:
   {minus#(s(x), s(y)) -> minus#(x, y),
       le#(s(x), s(y)) -> le#(x, y),
     quot#(s(x), s(y)) -> minus#(s(x), s(y)),
     quot#(s(x), s(y)) -> quot#(minus(s(x), s(y)), s(y))}
  Weak:
  {    minus(x, 0()) -> x,
   minus(s(x), s(y)) -> minus(x, y),
          le(0(), y) -> true(),
       le(s(x), 0()) -> false(),
      le(s(x), s(y)) -> le(x, y),
     quot(0(), s(y)) -> 0(),
    quot(s(x), s(y)) -> s(quot(minus(s(x), s(y)), s(y)))}
  EDG:
   {(quot#(s(x), s(y)) -> quot#(minus(s(x), s(y)), s(y)), quot#(s(x), s(y)) -> quot#(minus(s(x), s(y)), s(y)))
    (quot#(s(x), s(y)) -> quot#(minus(s(x), s(y)), s(y)), quot#(s(x), s(y)) -> minus#(s(x), s(y)))
    (le#(s(x), s(y)) -> le#(x, y), le#(s(x), s(y)) -> le#(x, y))
    (minus#(s(x), s(y)) -> minus#(x, y), minus#(s(x), s(y)) -> minus#(x, y))
    (quot#(s(x), s(y)) -> minus#(s(x), s(y)), minus#(s(x), s(y)) -> minus#(x, y))}
   SCCS:
    Scc:
     {quot#(s(x), s(y)) -> quot#(minus(s(x), s(y)), s(y))}
    Scc:
     {le#(s(x), s(y)) -> le#(x, y)}
    Scc:
     {minus#(s(x), s(y)) -> minus#(x, y)}
    SCC:
     Strict:
      {quot#(s(x), s(y)) -> quot#(minus(s(x), s(y)), s(y))}
     Weak:
     {    minus(x, 0()) -> x,
      minus(s(x), s(y)) -> minus(x, y),
             le(0(), y) -> true(),
          le(s(x), 0()) -> false(),
         le(s(x), s(y)) -> le(x, y),
        quot(0(), s(y)) -> 0(),
       quot(s(x), s(y)) -> s(quot(minus(s(x), s(y)), s(y)))}
     Fail
    SCC:
     Strict:
      {le#(s(x), s(y)) -> le#(x, y)}
     Weak:
     {    minus(x, 0()) -> x,
      minus(s(x), s(y)) -> minus(x, y),
             le(0(), y) -> true(),
          le(s(x), 0()) -> false(),
         le(s(x), s(y)) -> le(x, y),
        quot(0(), s(y)) -> 0(),
       quot(s(x), s(y)) -> s(quot(minus(s(x), s(y)), s(y)))}
     SPSC:
      Simple Projection:
       pi(le#) = 0
      Strict:
       {}
      Qed
    SCC:
     Strict:
      {minus#(s(x), s(y)) -> minus#(x, y)}
     Weak:
     {    minus(x, 0()) -> x,
      minus(s(x), s(y)) -> minus(x, y),
             le(0(), y) -> true(),
          le(s(x), 0()) -> false(),
         le(s(x), s(y)) -> le(x, y),
        quot(0(), s(y)) -> 0(),
       quot(s(x), s(y)) -> s(quot(minus(s(x), s(y)), s(y)))}
     SPSC:
      Simple Projection:
       pi(minus#) = 0
      Strict:
       {}
      Qed