MAYBE

Problem:
 app(app(iterate(),f),x) -> app(app(cons(),x),app(app(iterate(),f),app(f,x)))

Proof:
 DP Processor:
  DPs:
   app#(app(iterate(),f),x) -> app#(f,x)
   app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x))
   app#(app(iterate(),f),x) -> app#(cons(),x)
   app#(app(iterate(),f),x) -> app#(app(cons(),x),app(app(iterate(),f),app(f,x)))
  TRS:
   app(app(iterate(),f),x) -> app(app(cons(),x),app(app(iterate(),f),app(f,x)))
  EDG Processor:
   DPs:
    app#(app(iterate(),f),x) -> app#(f,x)
    app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x))
    app#(app(iterate(),f),x) -> app#(cons(),x)
    app#(app(iterate(),f),x) -> app#(app(cons(),x),app(app(iterate(),f),app(f,x)))
   TRS:
    app(app(iterate(),f),x) -> app(app(cons(),x),app(app(iterate(),f),app(f,x)))
   graph:
    app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x)) ->
    app#(app(iterate(),f),x) -> app#(f,x)
    app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x)) ->
    app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x))
    app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x)) ->
    app#(app(iterate(),f),x) -> app#(cons(),x)
    app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x)) ->
    app#(app(iterate(),f),x) -> app#(app(cons(),x),app(app(iterate(),f),app(f,x)))
    app#(app(iterate(),f),x) -> app#(f,x) ->
    app#(app(iterate(),f),x) -> app#(f,x)
    app#(app(iterate(),f),x) -> app#(f,x) ->
    app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x))
    app#(app(iterate(),f),x) -> app#(f,x) ->
    app#(app(iterate(),f),x) -> app#(cons(),x)
    app#(app(iterate(),f),x) -> app#(f,x) ->
    app#(app(iterate(),f),x) -> app#(app(cons(),x),app(app(iterate(),f),app(f,x)))
   SCC Processor:
    #sccs: 1
    #rules: 2
    #arcs: 8/16
    DPs:
     app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x))
     app#(app(iterate(),f),x) -> app#(f,x)
    TRS:
     app(app(iterate(),f),x) -> app(app(cons(),x),app(app(iterate(),f),app(f,x)))
    Subterm Criterion Processor:
     simple projection:
      pi(app#) = 0
     problem:
      DPs:
       app#(app(iterate(),f),x) -> app#(app(iterate(),f),app(f,x))
      TRS:
       app(app(iterate(),f),x) -> app(app(cons(),x),app(app(iterate(),f),app(f,x)))
     Open