MAYBE
Time: 3.960087
TRS:
 {                  app(app(map(), f), nil()) -> nil(),
  app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                    app(app(minus(), x), 0()) -> x,
  app(app(minus(), app(s(), x)), app(s(), y)) -> app(app(minus(), x), y),
    app(app(div(), app(s(), x)), app(s(), y)) -> app(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))),
            app(app(div(), 0()), app(s(), y)) -> 0()}
 DP:
  DP:
   {app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
    app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs),
    app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)),
    app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)),
    app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y),
    app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x),
      app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y),
      app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)),
      app#(app(div(), app(s(), x)), app(s(), y)) -> app#(minus(), x),
      app#(app(div(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))),
      app#(app(div(), app(s(), x)), app(s(), y)) -> app#(div(), app(app(minus(), x), y))}
  TRS:
  {                  app(app(map(), f), nil()) -> nil(),
   app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                     app(app(minus(), x), 0()) -> x,
   app(app(minus(), app(s(), x)), app(s(), y)) -> app(app(minus(), x), y),
     app(app(div(), app(s(), x)), app(s(), y)) -> app(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))),
             app(app(div(), 0()), app(s(), y)) -> 0()}
  UR:
   {                  app(app(map(), f), nil()) -> nil(),
    app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                      app(app(minus(), x), 0()) -> x,
    app(app(minus(), app(s(), x)), app(s(), y)) -> app(app(minus(), x), y),
      app(app(div(), app(s(), x)), app(s(), y)) -> app(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))),
              app(app(div(), 0()), app(s(), y)) -> 0(),
                                        a(z, w) -> z,
                                        a(z, w) -> w}
   EDG:
    {(app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(div(), app(app(minus(), x), y)))
     (app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))))
     (app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)))
     (app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(cons(), app(f, x)), app(app(map(), f), xs)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(map(), f), app(app(cons(), x), xs)) -> app#(cons(), app(f, x)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y)))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(minus(), x))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))))
     (app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x), app#(app(div(), app(s(), x)), app(s(), y)) -> app#(div(), app(app(minus(), x), y)))}
    STATUS:
     arrows: 0.801653
     SCCS (3):
      Scc:
       {app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
        app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)}
      Scc:
       {app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y))}
      Scc:
       {app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y)}
      
      SCC (2):
       Strict:
        {app#(app(map(), f), app(app(cons(), x), xs)) -> app#(f, x),
         app#(app(map(), f), app(app(cons(), x), xs)) -> app#(app(map(), f), xs)}
       Weak:
       {                  app(app(map(), f), nil()) -> nil(),
        app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                          app(app(minus(), x), 0()) -> x,
        app(app(minus(), app(s(), x)), app(s(), y)) -> app(app(minus(), x), y),
          app(app(div(), app(s(), x)), app(s(), y)) -> app(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))),
                  app(app(div(), 0()), app(s(), y)) -> 0()}
       Open
      SCC (1):
       Strict:
        {app#(app(div(), app(s(), x)), app(s(), y)) -> app#(app(div(), app(app(minus(), x), y)), app(s(), y))}
       Weak:
       {                  app(app(map(), f), nil()) -> nil(),
        app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                          app(app(minus(), x), 0()) -> x,
        app(app(minus(), app(s(), x)), app(s(), y)) -> app(app(minus(), x), y),
          app(app(div(), app(s(), x)), app(s(), y)) -> app(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))),
                  app(app(div(), 0()), app(s(), y)) -> 0()}
       Open
      
      
      
      SCC (1):
       Strict:
        {app#(app(minus(), app(s(), x)), app(s(), y)) -> app#(app(minus(), x), y)}
       Weak:
       {                  app(app(map(), f), nil()) -> nil(),
        app(app(map(), f), app(app(cons(), x), xs)) -> app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                          app(app(minus(), x), 0()) -> x,
        app(app(minus(), app(s(), x)), app(s(), y)) -> app(app(minus(), x), y),
          app(app(div(), app(s(), x)), app(s(), y)) -> app(s(), app(app(div(), app(app(minus(), x), y)), app(s(), y))),
                  app(app(div(), 0()), app(s(), y)) -> 0()}
       Open