MAYBE

Problem:
 app(nil(),xs) -> nil()
 app(cons(x,xs),ys) -> cons(x,app(xs,ys))
 rev(nil()) -> nil()
 rev(cons(x,xs)) -> append(xs,rev(cons(x,nil())))

Proof:
 Complexity Transformation Processor:
  strict:
   app(nil(),xs) -> nil()
   app(cons(x,xs),ys) -> cons(x,app(xs,ys))
   rev(nil()) -> nil()
   rev(cons(x,xs)) -> append(xs,rev(cons(x,nil())))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [append](x0, x1) = x0 + x1,
     
     [rev](x0) = x0,
     
     [cons](x0, x1) = x0 + x1,
     
     [app](x0, x1) = x0 + x1 + 1,
     
     [nil] = 1
    orientation:
     app(nil(),xs) = xs + 2 >= 1 = nil()
     
     app(cons(x,xs),ys) = x + xs + ys + 1 >= x + xs + ys + 1 = cons(x,app(xs,ys))
     
     rev(nil()) = 1 >= 1 = nil()
     
     rev(cons(x,xs)) = x + xs >= x + xs + 1 = append(xs,rev(cons(x,nil())))
    problem:
     strict:
      app(cons(x,xs),ys) -> cons(x,app(xs,ys))
      rev(nil()) -> nil()
      rev(cons(x,xs)) -> append(xs,rev(cons(x,nil())))
     weak:
      app(nil(),xs) -> nil()
    Matrix Interpretation Processor:
     dimension: 1
     max_matrix:
      1
      interpretation:
       [append](x0, x1) = x0 + x1,
       
       [rev](x0) = x0 + 1,
       
       [cons](x0, x1) = x0 + x1,
       
       [app](x0, x1) = x0 + x1,
       
       [nil] = 0
      orientation:
       app(cons(x,xs),ys) = x + xs + ys >= x + xs + ys = cons(x,app(xs,ys))
       
       rev(nil()) = 1 >= 0 = nil()
       
       rev(cons(x,xs)) = x + xs + 1 >= x + xs + 1 = append(xs,rev(cons(x,nil())))
       
       app(nil(),xs) = xs >= 0 = nil()
      problem:
       strict:
        app(cons(x,xs),ys) -> cons(x,app(xs,ys))
        rev(cons(x,xs)) -> append(xs,rev(cons(x,nil())))
       weak:
        rev(nil()) -> nil()
        app(nil(),xs) -> nil()
      Matrix Interpretation Processor:
       dimension: 2
       max_matrix:
        [1 1]
        [0 1]
        interpretation:
                            [1 0]     [1 0]  
         [append](x0, x1) = [0 0]x0 + [0 0]x1,
         
                          [0]
         [rev](x0) = x0 + [1],
         
                          [1 1]          [0]
         [cons](x0, x1) = [0 0]x0 + x1 + [1],
         
                         [1 1]     [1 0]     [1]
         [app](x0, x1) = [0 1]x0 + [0 0]x1 + [0],
         
                 [0]
         [nil] = [1]
        orientation:
                              [1 1]    [1 1]     [1 0]     [2]    [1 1]    [1 1]     [1 0]     [1]                     
         app(cons(x,xs),ys) = [0 0]x + [0 1]xs + [0 0]ys + [1] >= [0 0]x + [0 1]xs + [0 0]ys + [1] = cons(x,app(xs,ys))
         
                           [1 1]         [0]    [1 1]    [1 0]                                  
         rev(cons(x,xs)) = [0 0]x + xs + [2] >= [0 0]x + [0 0]xs = append(xs,rev(cons(x,nil())))
         
                      [0]    [0]        
         rev(nil()) = [2] >= [1] = nil()
         
                         [1 0]     [2]    [0]        
         app(nil(),xs) = [0 0]xs + [1] >= [1] = nil()
        problem:
         strict:
          rev(cons(x,xs)) -> append(xs,rev(cons(x,nil())))
         weak:
          app(cons(x,xs),ys) -> cons(x,app(xs,ys))
          rev(nil()) -> nil()
          app(nil(),xs) -> nil()
        Open