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)
    Subterm Criterion Processor:
     simple projection:
      pi(app#) = 1
     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