YES

Problem:
 app(app(filter(),f),nil()) -> nil()
 app(app(filter(),f),app(app(cons(),y),ys)) ->
 app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
 app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
 app(app(cons(),y),app(app(filter(),f),ys))
 app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app(app(filter(),f),ys)

Proof:
 DP Processor:
  DPs:
   app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y)
   app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(filtersub(),app(f,y))
   app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(app(filtersub(),app(f,y)),f)
   app#(app(filter(),f),app(app(cons(),y),ys)) ->
   app#(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
   app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(filter(),f)
   app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
   app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
   app#(app(cons(),y),app(app(filter(),f),ys))
   app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(filter(),f)
   app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
  TRS:
   app(app(filter(),f),nil()) -> nil()
   app(app(filter(),f),app(app(cons(),y),ys)) ->
   app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
   app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
   app(app(cons(),y),app(app(filter(),f),ys))
   app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app(app(filter(),f),ys)
  EDG Processor:
   DPs:
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y)
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(filtersub(),app(f,y))
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(app(filtersub(),app(f,y)),f)
    app#(app(filter(),f),app(app(cons(),y),ys)) ->
    app#(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(filter(),f)
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
    app#(app(cons(),y),app(app(filter(),f),ys))
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(filter(),f)
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
   TRS:
    app(app(filter(),f),nil()) -> nil()
    app(app(filter(),f),app(app(cons(),y),ys)) ->
    app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
    app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
    app(app(cons(),y),app(app(filter(),f),ys))
    app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app(app(filter(),f),ys)
   graph:
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y)
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(filtersub(),app(f,y))
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(app(filtersub(),app(f,y)),f)
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) ->
    app#(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y)
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(filtersub(),app(f,y))
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(app(filtersub(),app(f,y)),f)
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) ->
    app#(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y)
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(filtersub(),app(f,y))
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(app(filtersub(),app(f,y)),f)
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(filter(),f),app(app(cons(),y),ys)) ->
    app#(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(filter(),f)
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
    app#(app(cons(),y),app(app(filter(),f),ys))
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(filter(),f)
    app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y) ->
    app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
   SCC Processor:
    #sccs: 1
    #rules: 3
    #arcs: 17/81
    DPs:
     app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
     app#(app(filter(),f),app(app(cons(),y),ys)) -> app#(f,y)
     app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) -> app#(app(filter(),f),ys)
    TRS:
     app(app(filter(),f),nil()) -> nil()
     app(app(filter(),f),app(app(cons(),y),ys)) ->
     app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
     app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
     app(app(cons(),y),app(app(filter(),f),ys))
     app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app(app(filter(),f),ys)
    Matrix Interpretation Processor: dim=2
     
     interpretation:
      [app#](x0, x1) = [1 0]x0,
      
                [0]
      [false] = [1],
      
               [1]
      [true] = [1],
      
                    [0]
      [filtersub] = [0],
      
               [0]
      [cons] = [1],
      
              [3]
      [nil] = [0],
      
                      [0 3]          [1]
      [app](x0, x1) = [0 0]x0 + x1 + [0],
      
                 [0]
      [filter] = [0]
     orientation:
      app#(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) = [1 0]f + [4] >= [1 0]f + [1] = app#(app(filter(),f),ys)
      
      app#(app(filter(),f),app(app(cons(),y),ys)) = [1 0]f + [1] >= [1 0]f = app#(f,y)
      
      app#(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) = [1 0]f + [4] >= [1 0]f + [1] = app#(app(filter(),f),ys)
      
                                   [0 3]    [4]    [3]        
      app(app(filter(),f),nil()) = [0 0]f + [0] >= [0] = nil()
      
                                                   [0 3]    [0 3]         [2]    [0 3]    [0 3]         [2]                                                              
      app(app(filter(),f),app(app(cons(),y),ys)) = [0 0]f + [0 0]y + ys + [0] >= [0 0]f + [0 0]y + ys + [0] = app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
      
                                                                  [0 3]    [0 3]         [2]    [0 3]    [0 3]         [2]                                             
      app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) = [0 0]f + [0 0]y + ys + [0] >= [0 0]f + [0 0]y + ys + [0] = app(app(cons(),y),app(app(filter(),f),ys))
      
                                                                   [0 3]    [0 3]         [2]    [0 3]         [1]                          
      app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) = [0 0]f + [0 0]y + ys + [0] >= [0 0]f + ys + [0] = app(app(filter(),f),ys)
     problem:
      DPs:
       
      TRS:
       app(app(filter(),f),nil()) -> nil()
       app(app(filter(),f),app(app(cons(),y),ys)) ->
       app(app(app(filtersub(),app(f,y)),f),app(app(cons(),y),ys))
       app(app(app(filtersub(),true()),f),app(app(cons(),y),ys)) ->
       app(app(cons(),y),app(app(filter(),f),ys))
       app(app(app(filtersub(),false()),f),app(app(cons(),y),ys)) -> app(app(filter(),f),ys)
     Qed