YES

Problem:
 app(rev(),nil()) -> nil()
 app(rev(),app(app(cons(),x),l)) -> app(app(cons(),app(app(rev1(),x),l)),app(app(rev2(),x),l))
 app(app(rev1(),0()),nil()) -> 0()
 app(app(rev1(),app(s(),x)),nil()) -> app(s(),x)
 app(app(rev1(),x),app(app(cons(),y),l)) -> app(app(rev1(),y),l)
 app(app(rev2(),x),nil()) -> nil()
 app(app(rev2(),x),app(app(cons(),y),l)) -> app(rev(),app(app(cons(),x),app(app(rev2(),y),l)))
 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(filter(),f),nil()) -> nil()
 app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs)
 app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs))
 app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs)

Proof:
 Uncurry Processor:
  rev1(nil()) -> nil()
  rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
  rev12(0(),nil()) -> 0()
  rev12(s1(x),nil()) -> s1(x)
  rev12(x,cons2(y,l)) -> rev12(y,l)
  rev22(x,nil()) -> nil()
  rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
  map2(f,nil()) -> nil()
  map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
  filter2(f,nil()) -> nil()
  filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
  filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
  filter24(false(),f,x,xs) -> filter2(f,xs)
  app(rev(),x8) -> rev1(x8)
  app(cons1(x7),x8) -> cons2(x7,x8)
  app(cons(),x8) -> cons1(x8)
  app(rev11(x7),x8) -> rev12(x7,x8)
  app(rev1(),x8) -> rev11(x8)
  app(rev21(x7),x8) -> rev22(x7,x8)
  app(rev2(),x8) -> rev21(x8)
  app(s(),x8) -> s1(x8)
  app(map1(x7),x8) -> map2(x7,x8)
  app(map(),x8) -> map1(x8)
  app(filter1(x7),x8) -> filter2(x7,x8)
  app(filter(),x8) -> filter1(x8)
  app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
  app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
  app(filter21(x7),x8) -> filter22(x7,x8)
  app(filter2(),x8) -> filter21(x8)
  DP Processor:
   DPs:
    rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l)
    rev{1,#}(cons2(x,l)) -> rev1{2,#}(x,l)
    rev1{2,#}(x,cons2(y,l)) -> rev1{2,#}(y,l)
    rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l)
    rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l)))
    map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs)
    map{2,#}(f,cons2(x,xs)) -> app#(f,x)
    filter{2,#}(f,cons2(x,xs)) -> app#(f,x)
    filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs)
    filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs)
    filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs)
    app#(rev(),x8) -> rev{1,#}(x8)
    app#(rev11(x7),x8) -> rev1{2,#}(x7,x8)
    app#(rev21(x7),x8) -> rev2{2,#}(x7,x8)
    app#(map1(x7),x8) -> map{2,#}(x7,x8)
    app#(filter1(x7),x8) -> filter{2,#}(x7,x8)
    app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8)
   TRS:
    rev1(nil()) -> nil()
    rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
    rev12(0(),nil()) -> 0()
    rev12(s1(x),nil()) -> s1(x)
    rev12(x,cons2(y,l)) -> rev12(y,l)
    rev22(x,nil()) -> nil()
    rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
    map2(f,nil()) -> nil()
    map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
    filter2(f,nil()) -> nil()
    filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
    filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
    filter24(false(),f,x,xs) -> filter2(f,xs)
    app(rev(),x8) -> rev1(x8)
    app(cons1(x7),x8) -> cons2(x7,x8)
    app(cons(),x8) -> cons1(x8)
    app(rev11(x7),x8) -> rev12(x7,x8)
    app(rev1(),x8) -> rev11(x8)
    app(rev21(x7),x8) -> rev22(x7,x8)
    app(rev2(),x8) -> rev21(x8)
    app(s(),x8) -> s1(x8)
    app(map1(x7),x8) -> map2(x7,x8)
    app(map(),x8) -> map1(x8)
    app(filter1(x7),x8) -> filter2(x7,x8)
    app(filter(),x8) -> filter1(x8)
    app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
    app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
    app(filter21(x7),x8) -> filter22(x7,x8)
    app(filter2(),x8) -> filter21(x8)
   TDG Processor:
    DPs:
     rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l)
     rev{1,#}(cons2(x,l)) -> rev1{2,#}(x,l)
     rev1{2,#}(x,cons2(y,l)) -> rev1{2,#}(y,l)
     rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l)
     rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l)))
     map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs)
     map{2,#}(f,cons2(x,xs)) -> app#(f,x)
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x)
     filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs)
     filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs)
     filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs)
     app#(rev(),x8) -> rev{1,#}(x8)
     app#(rev11(x7),x8) -> rev1{2,#}(x7,x8)
     app#(rev21(x7),x8) -> rev2{2,#}(x7,x8)
     app#(map1(x7),x8) -> map{2,#}(x7,x8)
     app#(filter1(x7),x8) -> filter{2,#}(x7,x8)
     app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8)
    TRS:
     rev1(nil()) -> nil()
     rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
     rev12(0(),nil()) -> 0()
     rev12(s1(x),nil()) -> s1(x)
     rev12(x,cons2(y,l)) -> rev12(y,l)
     rev22(x,nil()) -> nil()
     rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
     map2(f,nil()) -> nil()
     map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
     filter2(f,nil()) -> nil()
     filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
     filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
     filter24(false(),f,x,xs) -> filter2(f,xs)
     app(rev(),x8) -> rev1(x8)
     app(cons1(x7),x8) -> cons2(x7,x8)
     app(cons(),x8) -> cons1(x8)
     app(rev11(x7),x8) -> rev12(x7,x8)
     app(rev1(),x8) -> rev11(x8)
     app(rev21(x7),x8) -> rev22(x7,x8)
     app(rev2(),x8) -> rev21(x8)
     app(s(),x8) -> s1(x8)
     app(map1(x7),x8) -> map2(x7,x8)
     app(map(),x8) -> map1(x8)
     app(filter1(x7),x8) -> filter2(x7,x8)
     app(filter(),x8) -> filter1(x8)
     app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
     app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
     app(filter21(x7),x8) -> filter22(x7,x8)
     app(filter2(),x8) -> filter21(x8)
    graph:
     filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs) ->
     filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs)
     filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs) ->
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x)
     filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs) ->
     filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs)
     filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs) ->
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x)
     filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs) ->
     filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs)
     filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs) ->
     filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs)
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8)
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(filter1(x7),x8) -> filter{2,#}(x7,x8)
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(map1(x7),x8) -> map{2,#}(x7,x8)
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(rev21(x7),x8) -> rev2{2,#}(x7,x8)
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(rev11(x7),x8) -> rev1{2,#}(x7,x8)
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(rev(),x8) -> rev{1,#}(x8)
     app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8) ->
     filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs)
     app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8) ->
     filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs)
     app#(filter1(x7),x8) -> filter{2,#}(x7,x8) ->
     filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs)
     app#(filter1(x7),x8) -> filter{2,#}(x7,x8) ->
     filter{2,#}(f,cons2(x,xs)) -> app#(f,x)
     app#(map1(x7),x8) -> map{2,#}(x7,x8) ->
     map{2,#}(f,cons2(x,xs)) -> app#(f,x)
     app#(map1(x7),x8) -> map{2,#}(x7,x8) ->
     map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs)
     app#(rev21(x7),x8) -> rev2{2,#}(x7,x8) ->
     rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l)))
     app#(rev21(x7),x8) -> rev2{2,#}(x7,x8) ->
     rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l)
     app#(rev11(x7),x8) -> rev1{2,#}(x7,x8) ->
     rev1{2,#}(x,cons2(y,l)) -> rev1{2,#}(y,l)
     app#(rev(),x8) -> rev{1,#}(x8) ->
     rev{1,#}(cons2(x,l)) -> rev1{2,#}(x,l)
     app#(rev(),x8) -> rev{1,#}(x8) ->
     rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l)
     map{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8)
     map{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(filter1(x7),x8) -> filter{2,#}(x7,x8)
     map{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(map1(x7),x8) -> map{2,#}(x7,x8)
     map{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(rev21(x7),x8) -> rev2{2,#}(x7,x8)
     map{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(rev11(x7),x8) -> rev1{2,#}(x7,x8)
     map{2,#}(f,cons2(x,xs)) -> app#(f,x) ->
     app#(rev(),x8) -> rev{1,#}(x8)
     map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) ->
     map{2,#}(f,cons2(x,xs)) -> app#(f,x)
     map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs) ->
     map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs)
     rev1{2,#}(x,cons2(y,l)) -> rev1{2,#}(y,l) ->
     rev1{2,#}(x,cons2(y,l)) -> rev1{2,#}(y,l)
     rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l) ->
     rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l)))
     rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l) ->
     rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l)
     rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l))) ->
     rev{1,#}(cons2(x,l)) -> rev1{2,#}(x,l)
     rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l))) ->
     rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l)
     rev{1,#}(cons2(x,l)) -> rev1{2,#}(x,l) ->
     rev1{2,#}(x,cons2(y,l)) -> rev1{2,#}(y,l)
     rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l) ->
     rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l)))
     rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l) -> rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l)
    SCC Processor:
     #sccs: 3
     #rules: 13
     #arcs: 39/289
     DPs:
      filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs)
      filter{2,#}(f,cons2(x,xs)) -> app#(f,x)
      app#(map1(x7),x8) -> map{2,#}(x7,x8)
      map{2,#}(f,cons2(x,xs)) -> map{2,#}(f,xs)
      map{2,#}(f,cons2(x,xs)) -> app#(f,x)
      app#(filter1(x7),x8) -> filter{2,#}(x7,x8)
      filter{2,#}(f,cons2(x,xs)) -> filter2{4,#}(app(f,x),f,x,xs)
      filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs)
      app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8)
     TRS:
      rev1(nil()) -> nil()
      rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
      rev12(0(),nil()) -> 0()
      rev12(s1(x),nil()) -> s1(x)
      rev12(x,cons2(y,l)) -> rev12(y,l)
      rev22(x,nil()) -> nil()
      rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
      map2(f,nil()) -> nil()
      map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
      filter2(f,nil()) -> nil()
      filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
      filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
      filter24(false(),f,x,xs) -> filter2(f,xs)
      app(rev(),x8) -> rev1(x8)
      app(cons1(x7),x8) -> cons2(x7,x8)
      app(cons(),x8) -> cons1(x8)
      app(rev11(x7),x8) -> rev12(x7,x8)
      app(rev1(),x8) -> rev11(x8)
      app(rev21(x7),x8) -> rev22(x7,x8)
      app(rev2(),x8) -> rev21(x8)
      app(s(),x8) -> s1(x8)
      app(map1(x7),x8) -> map2(x7,x8)
      app(map(),x8) -> map1(x8)
      app(filter1(x7),x8) -> filter2(x7,x8)
      app(filter(),x8) -> filter1(x8)
      app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
      app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
      app(filter21(x7),x8) -> filter22(x7,x8)
      app(filter2(),x8) -> filter21(x8)
     Subterm Criterion Processor:
      simple projection:
       pi(map{2,#}) = 1
       pi(app#) = 1
       pi(filter{2,#}) = 1
       pi(filter2{4,#}) = 3
      problem:
       DPs:
        filter2{4,#}(false(),f,x,xs) -> filter{2,#}(f,xs)
        app#(map1(x7),x8) -> map{2,#}(x7,x8)
        app#(filter1(x7),x8) -> filter{2,#}(x7,x8)
        filter2{4,#}(true(),f,x,xs) -> filter{2,#}(f,xs)
        app#(filter23(x7,x6,x5),x8) -> filter2{4,#}(x7,x6,x5,x8)
       TRS:
        rev1(nil()) -> nil()
        rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
        rev12(0(),nil()) -> 0()
        rev12(s1(x),nil()) -> s1(x)
        rev12(x,cons2(y,l)) -> rev12(y,l)
        rev22(x,nil()) -> nil()
        rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
        map2(f,nil()) -> nil()
        map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
        filter2(f,nil()) -> nil()
        filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
        filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
        filter24(false(),f,x,xs) -> filter2(f,xs)
        app(rev(),x8) -> rev1(x8)
        app(cons1(x7),x8) -> cons2(x7,x8)
        app(cons(),x8) -> cons1(x8)
        app(rev11(x7),x8) -> rev12(x7,x8)
        app(rev1(),x8) -> rev11(x8)
        app(rev21(x7),x8) -> rev22(x7,x8)
        app(rev2(),x8) -> rev21(x8)
        app(s(),x8) -> s1(x8)
        app(map1(x7),x8) -> map2(x7,x8)
        app(map(),x8) -> map1(x8)
        app(filter1(x7),x8) -> filter2(x7,x8)
        app(filter(),x8) -> filter1(x8)
        app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
        app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
        app(filter21(x7),x8) -> filter22(x7,x8)
        app(filter2(),x8) -> filter21(x8)
      SCC Processor:
       #sccs: 0
       #rules: 0
       #arcs: 20/25
       
     
     DPs:
      rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l)
      rev2{2,#}(x,cons2(y,l)) -> rev2{2,#}(y,l)
      rev2{2,#}(x,cons2(y,l)) -> rev{1,#}(cons2(x,rev22(y,l)))
     TRS:
      rev1(nil()) -> nil()
      rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
      rev12(0(),nil()) -> 0()
      rev12(s1(x),nil()) -> s1(x)
      rev12(x,cons2(y,l)) -> rev12(y,l)
      rev22(x,nil()) -> nil()
      rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
      map2(f,nil()) -> nil()
      map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
      filter2(f,nil()) -> nil()
      filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
      filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
      filter24(false(),f,x,xs) -> filter2(f,xs)
      app(rev(),x8) -> rev1(x8)
      app(cons1(x7),x8) -> cons2(x7,x8)
      app(cons(),x8) -> cons1(x8)
      app(rev11(x7),x8) -> rev12(x7,x8)
      app(rev1(),x8) -> rev11(x8)
      app(rev21(x7),x8) -> rev22(x7,x8)
      app(rev2(),x8) -> rev21(x8)
      app(s(),x8) -> s1(x8)
      app(map1(x7),x8) -> map2(x7,x8)
      app(map(),x8) -> map1(x8)
      app(filter1(x7),x8) -> filter2(x7,x8)
      app(filter(),x8) -> filter1(x8)
      app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
      app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
      app(filter21(x7),x8) -> filter22(x7,x8)
      app(filter2(),x8) -> filter21(x8)
     Arctic Interpretation Processor:
      dimension: 1
      interpretation:
       [rev2{2,#}](x0, x1) = 1x1 + 0,
       
       [rev{1,#}](x0) = x0 + 0,
       
       [filter21](x0) = 3x0,
       
       [filter22](x0, x1) = 3x0 + 2x1,
       
       [filter24](x0, x1, x2, x3) = 1x3 + 0,
       
       [filter23](x0, x1, x2) = x0 + 2x1 + x2,
       
       [filter2](x0, x1) = x1,
       
       [filter1](x0) = x0,
       
       [map2](x0, x1) = x1,
       
       [map1](x0) = x0,
       
       [s1](x0) = 1,
       
       [rev22](x0, x1) = x1,
       
       [rev21](x0) = 6x0,
       
       [rev12](x0, x1) = 6x1,
       
       [rev11](x0) = x0 + 4,
       
       [cons2](x0, x1) = 1x1 + 0,
       
       [cons1](x0) = 6x0 + 2,
       
       [rev1](x0) = x0 + 0,
       
       [false] = 0,
       
       [true] = 2,
       
       [filter2] = 6,
       
       [filter] = 6,
       
       [map] = 0,
       
       [s] = 1,
       
       [0] = 1,
       
       [rev2] = 6,
       
       [rev1] = 7,
       
       [cons] = 3,
       
       [app](x0, x1) = x0 + 6x1 + 0,
       
       [nil] = 0,
       
       [rev] = 5
      orientation:
       rev{1,#}(cons2(x,l)) = 1l + 0 >= 1l + 0 = rev2{2,#}(x,l)
       
       rev2{2,#}(x,cons2(y,l)) = 2l + 1 >= 1l + 0 = rev2{2,#}(y,l)
       
       rev2{2,#}(x,cons2(y,l)) = 2l + 1 >= 1l + 0 = rev{1,#}(cons2(x,rev22(y,l)))
       
       rev1(nil()) = 0 >= 0 = nil()
       
       rev1(cons2(x,l)) = 1l + 0 >= 1l + 0 = cons2(rev12(x,l),rev22(x,l))
       
       rev12(0(),nil()) = 6 >= 1 = 0()
       
       rev12(s1(x),nil()) = 6 >= 1 = s1(x)
       
       rev12(x,cons2(y,l)) = 7l + 6 >= 6l = rev12(y,l)
       
       rev22(x,nil()) = 0 >= 0 = nil()
       
       rev22(x,cons2(y,l)) = 1l + 0 >= 1l + 0 = rev1(cons2(x,rev22(y,l)))
       
       map2(f,nil()) = 0 >= 0 = nil()
       
       map2(f,cons2(x,xs)) = 1xs + 0 >= 1xs + 0 = cons2(app(f,x),map2(f,xs))
       
       filter2(f,nil()) = 0 >= 0 = nil()
       
       filter2(f,cons2(x,xs)) = 1xs + 0 >= 1xs + 0 = filter24(app(f,x),f,x,xs)
       
       filter24(true(),f,x,xs) = 1xs + 0 >= 1xs + 0 = cons2(x,filter2(f,xs))
       
       filter24(false(),f,x,xs) = 1xs + 0 >= xs = filter2(f,xs)
       
       app(rev(),x8) = 6x8 + 5 >= x8 + 0 = rev1(x8)
       
       app(cons1(x7),x8) = 6x7 + 6x8 + 2 >= 1x8 + 0 = cons2(x7,x8)
       
       app(cons(),x8) = 6x8 + 3 >= 6x8 + 2 = cons1(x8)
       
       app(rev11(x7),x8) = x7 + 6x8 + 4 >= 6x8 = rev12(x7,x8)
       
       app(rev1(),x8) = 6x8 + 7 >= x8 + 4 = rev11(x8)
       
       app(rev21(x7),x8) = 6x7 + 6x8 + 0 >= x8 = rev22(x7,x8)
       
       app(rev2(),x8) = 6x8 + 6 >= 6x8 = rev21(x8)
       
       app(s(),x8) = 6x8 + 1 >= 1 = s1(x8)
       
       app(map1(x7),x8) = x7 + 6x8 + 0 >= x8 = map2(x7,x8)
       
       app(map(),x8) = 6x8 + 0 >= x8 = map1(x8)
       
       app(filter1(x7),x8) = x7 + 6x8 + 0 >= x8 = filter2(x7,x8)
       
       app(filter(),x8) = 6x8 + 6 >= x8 = filter1(x8)
       
       app(filter23(x7,x6,x5),x8) = x5 + 2x6 + x7 + 6x8 + 0 >= 1x8 + 0 = filter24(x7,x6,x5,x8)
       
       app(filter22(x7,x6),x8) = 2x6 + 3x7 + 6x8 + 0 >= 2x6 + x7 + x8 = filter23(x7,x6,x8)
       
       app(filter21(x7),x8) = 3x7 + 6x8 + 0 >= 3x7 + 2x8 = filter22(x7,x8)
       
       app(filter2(),x8) = 6x8 + 6 >= 3x8 = filter21(x8)
      problem:
       DPs:
        rev{1,#}(cons2(x,l)) -> rev2{2,#}(x,l)
       TRS:
        rev1(nil()) -> nil()
        rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
        rev12(0(),nil()) -> 0()
        rev12(s1(x),nil()) -> s1(x)
        rev12(x,cons2(y,l)) -> rev12(y,l)
        rev22(x,nil()) -> nil()
        rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
        map2(f,nil()) -> nil()
        map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
        filter2(f,nil()) -> nil()
        filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
        filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
        filter24(false(),f,x,xs) -> filter2(f,xs)
        app(rev(),x8) -> rev1(x8)
        app(cons1(x7),x8) -> cons2(x7,x8)
        app(cons(),x8) -> cons1(x8)
        app(rev11(x7),x8) -> rev12(x7,x8)
        app(rev1(),x8) -> rev11(x8)
        app(rev21(x7),x8) -> rev22(x7,x8)
        app(rev2(),x8) -> rev21(x8)
        app(s(),x8) -> s1(x8)
        app(map1(x7),x8) -> map2(x7,x8)
        app(map(),x8) -> map1(x8)
        app(filter1(x7),x8) -> filter2(x7,x8)
        app(filter(),x8) -> filter1(x8)
        app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
        app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
        app(filter21(x7),x8) -> filter22(x7,x8)
        app(filter2(),x8) -> filter21(x8)
      SCC Processor:
       #sccs: 0
       #rules: 0
       #arcs: 5/1
       
     
     DPs:
      rev1{2,#}(x,cons2(y,l)) -> rev1{2,#}(y,l)
     TRS:
      rev1(nil()) -> nil()
      rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
      rev12(0(),nil()) -> 0()
      rev12(s1(x),nil()) -> s1(x)
      rev12(x,cons2(y,l)) -> rev12(y,l)
      rev22(x,nil()) -> nil()
      rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
      map2(f,nil()) -> nil()
      map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
      filter2(f,nil()) -> nil()
      filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
      filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
      filter24(false(),f,x,xs) -> filter2(f,xs)
      app(rev(),x8) -> rev1(x8)
      app(cons1(x7),x8) -> cons2(x7,x8)
      app(cons(),x8) -> cons1(x8)
      app(rev11(x7),x8) -> rev12(x7,x8)
      app(rev1(),x8) -> rev11(x8)
      app(rev21(x7),x8) -> rev22(x7,x8)
      app(rev2(),x8) -> rev21(x8)
      app(s(),x8) -> s1(x8)
      app(map1(x7),x8) -> map2(x7,x8)
      app(map(),x8) -> map1(x8)
      app(filter1(x7),x8) -> filter2(x7,x8)
      app(filter(),x8) -> filter1(x8)
      app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
      app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
      app(filter21(x7),x8) -> filter22(x7,x8)
      app(filter2(),x8) -> filter21(x8)
     Subterm Criterion Processor:
      simple projection:
       pi(rev1{2,#}) = 1
      problem:
       DPs:
        
       TRS:
        rev1(nil()) -> nil()
        rev1(cons2(x,l)) -> cons2(rev12(x,l),rev22(x,l))
        rev12(0(),nil()) -> 0()
        rev12(s1(x),nil()) -> s1(x)
        rev12(x,cons2(y,l)) -> rev12(y,l)
        rev22(x,nil()) -> nil()
        rev22(x,cons2(y,l)) -> rev1(cons2(x,rev22(y,l)))
        map2(f,nil()) -> nil()
        map2(f,cons2(x,xs)) -> cons2(app(f,x),map2(f,xs))
        filter2(f,nil()) -> nil()
        filter2(f,cons2(x,xs)) -> filter24(app(f,x),f,x,xs)
        filter24(true(),f,x,xs) -> cons2(x,filter2(f,xs))
        filter24(false(),f,x,xs) -> filter2(f,xs)
        app(rev(),x8) -> rev1(x8)
        app(cons1(x7),x8) -> cons2(x7,x8)
        app(cons(),x8) -> cons1(x8)
        app(rev11(x7),x8) -> rev12(x7,x8)
        app(rev1(),x8) -> rev11(x8)
        app(rev21(x7),x8) -> rev22(x7,x8)
        app(rev2(),x8) -> rev21(x8)
        app(s(),x8) -> s1(x8)
        app(map1(x7),x8) -> map2(x7,x8)
        app(map(),x8) -> map1(x8)
        app(filter1(x7),x8) -> filter2(x7,x8)
        app(filter(),x8) -> filter1(x8)
        app(filter23(x7,x6,x5),x8) -> filter24(x7,x6,x5,x8)
        app(filter22(x7,x6),x8) -> filter23(x7,x6,x8)
        app(filter21(x7),x8) -> filter22(x7,x8)
        app(filter2(),x8) -> filter21(x8)
      Qed