MAYBE
Time: 0.001459
TRS:
 {               le(0(), y) -> true(),
               le(s x, 0()) -> false(),
               le(s x, s y) -> le(x, y),
              minus(0(), y) -> 0(),
              minus(s x, y) -> if_minus(le(s x, y), s x, y),
   if_minus(true(), s x, y) -> 0(),
  if_minus(false(), s x, y) -> s minus(x, y),
             quot(0(), s y) -> 0(),
             quot(s x, s y) -> s quot(minus(x, y), s y),
                  log s 0() -> 0(),
                  log s s x -> s log s quot(x, s s 0())}
 DP:
  DP:
   {             le#(s x, s y) -> le#(x, y),
                minus#(s x, y) -> le#(s x, y),
                minus#(s x, y) -> if_minus#(le(s x, y), s x, y),
    if_minus#(false(), s x, y) -> minus#(x, y),
               quot#(s x, s y) -> minus#(x, y),
               quot#(s x, s y) -> quot#(minus(x, y), s y),
                    log# s s x -> quot#(x, s s 0()),
                    log# s s x -> log# s quot(x, s s 0())}
  TRS:
  {               le(0(), y) -> true(),
                le(s x, 0()) -> false(),
                le(s x, s y) -> le(x, y),
               minus(0(), y) -> 0(),
               minus(s x, y) -> if_minus(le(s x, y), s x, y),
    if_minus(true(), s x, y) -> 0(),
   if_minus(false(), s x, y) -> s minus(x, y),
              quot(0(), s y) -> 0(),
              quot(s x, s y) -> s quot(minus(x, y), s y),
                   log s 0() -> 0(),
                   log s s x -> s log s quot(x, s s 0())}
  EDG:
   {(log# s s x -> log# s quot(x, s s 0()), log# s s x -> log# s quot(x, s s 0()))
    (log# s s x -> log# s quot(x, s s 0()), log# s s x -> quot#(x, s s 0()))
    (minus#(s x, y) -> le#(s x, y), le#(s x, s y) -> le#(x, y))
    (le#(s x, s y) -> le#(x, y), le#(s x, s y) -> le#(x, y))
    (quot#(s x, s y) -> minus#(x, y), minus#(s x, y) -> if_minus#(le(s x, y), s x, y))
    (quot#(s x, s y) -> minus#(x, y), minus#(s x, y) -> le#(s x, y))
    (if_minus#(false(), s x, y) -> minus#(x, y), minus#(s x, y) -> le#(s x, y))
    (if_minus#(false(), s x, y) -> minus#(x, y), minus#(s x, y) -> if_minus#(le(s x, y), s x, y))
    (quot#(s x, s y) -> quot#(minus(x, y), s y), quot#(s x, s y) -> minus#(x, y))
    (quot#(s x, s y) -> quot#(minus(x, y), s y), quot#(s x, s y) -> quot#(minus(x, y), s y))
    (minus#(s x, y) -> if_minus#(le(s x, y), s x, y), if_minus#(false(), s x, y) -> minus#(x, y))
    (log# s s x -> quot#(x, s s 0()), quot#(s x, s y) -> minus#(x, y))
    (log# s s x -> quot#(x, s s 0()), quot#(s x, s y) -> quot#(minus(x, y), s y))}
   STATUS:
    arrows: 0.796875
    SCCS (4):
     Scc:
      {log# s s x -> log# s quot(x, s s 0())}
     Scc:
      {quot#(s x, s y) -> quot#(minus(x, y), s y)}
     Scc:
      {            minus#(s x, y) -> if_minus#(le(s x, y), s x, y),
       if_minus#(false(), s x, y) -> minus#(x, y)}
     Scc:
      {le#(s x, s y) -> le#(x, y)}
     
     SCC (1):
      Strict:
       {log# s s x -> log# s quot(x, s s 0())}
      Weak:
      {               le(0(), y) -> true(),
                    le(s x, 0()) -> false(),
                    le(s x, s y) -> le(x, y),
                   minus(0(), y) -> 0(),
                   minus(s x, y) -> if_minus(le(s x, y), s x, y),
        if_minus(true(), s x, y) -> 0(),
       if_minus(false(), s x, y) -> s minus(x, y),
                  quot(0(), s y) -> 0(),
                  quot(s x, s y) -> s quot(minus(x, y), s y),
                       log s 0() -> 0(),
                       log s s x -> s log s quot(x, s s 0())}
      Open
     
     SCC (1):
      Strict:
       {quot#(s x, s y) -> quot#(minus(x, y), s y)}
      Weak:
      {               le(0(), y) -> true(),
                    le(s x, 0()) -> false(),
                    le(s x, s y) -> le(x, y),
                   minus(0(), y) -> 0(),
                   minus(s x, y) -> if_minus(le(s x, y), s x, y),
        if_minus(true(), s x, y) -> 0(),
       if_minus(false(), s x, y) -> s minus(x, y),
                  quot(0(), s y) -> 0(),
                  quot(s x, s y) -> s quot(minus(x, y), s y),
                       log s 0() -> 0(),
                       log s s x -> s log s quot(x, s s 0())}
      Open
     
     SCC (2):
      Strict:
       {            minus#(s x, y) -> if_minus#(le(s x, y), s x, y),
        if_minus#(false(), s x, y) -> minus#(x, y)}
      Weak:
      {               le(0(), y) -> true(),
                    le(s x, 0()) -> false(),
                    le(s x, s y) -> le(x, y),
                   minus(0(), y) -> 0(),
                   minus(s x, y) -> if_minus(le(s x, y), s x, y),
        if_minus(true(), s x, y) -> 0(),
       if_minus(false(), s x, y) -> s minus(x, y),
                  quot(0(), s y) -> 0(),
                  quot(s x, s y) -> s quot(minus(x, y), s y),
                       log s 0() -> 0(),
                       log s s x -> s log s quot(x, s s 0())}
      Open
     
     SCC (1):
      Strict:
       {le#(s x, s y) -> le#(x, y)}
      Weak:
      {               le(0(), y) -> true(),
                    le(s x, 0()) -> false(),
                    le(s x, s y) -> le(x, y),
                   minus(0(), y) -> 0(),
                   minus(s x, y) -> if_minus(le(s x, y), s x, y),
        if_minus(true(), s x, y) -> 0(),
       if_minus(false(), s x, y) -> s minus(x, y),
                  quot(0(), s y) -> 0(),
                  quot(s x, s y) -> s quot(minus(x, y), s y),
                       log s 0() -> 0(),
                       log s s x -> s log s quot(x, s s 0())}
      Open