MAYBE

Problem:
 app(app(app(comp(),f),g),x) -> app(f,app(g,x))
 app(twice(),f) -> app(app(comp(),f),f)

Proof:
 DP Processor:
  DPs:
   app#(app(app(comp(),f),g),x) -> app#(g,x)
   app#(app(app(comp(),f),g),x) -> app#(f,app(g,x))
   app#(twice(),f) -> app#(comp(),f)
   app#(twice(),f) -> app#(app(comp(),f),f)
  TRS:
   app(app(app(comp(),f),g),x) -> app(f,app(g,x))
   app(twice(),f) -> app(app(comp(),f),f)
  EDG Processor:
   DPs:
    app#(app(app(comp(),f),g),x) -> app#(g,x)
    app#(app(app(comp(),f),g),x) -> app#(f,app(g,x))
    app#(twice(),f) -> app#(comp(),f)
    app#(twice(),f) -> app#(app(comp(),f),f)
   TRS:
    app(app(app(comp(),f),g),x) -> app(f,app(g,x))
    app(twice(),f) -> app(app(comp(),f),f)
   graph:
    app#(app(app(comp(),f),g),x) -> app#(g,x) ->
    app#(app(app(comp(),f),g),x) -> app#(g,x)
    app#(app(app(comp(),f),g),x) -> app#(g,x) ->
    app#(app(app(comp(),f),g),x) -> app#(f,app(g,x))
    app#(app(app(comp(),f),g),x) -> app#(g,x) ->
    app#(twice(),f) -> app#(comp(),f)
    app#(app(app(comp(),f),g),x) -> app#(g,x) ->
    app#(twice(),f) -> app#(app(comp(),f),f)
    app#(app(app(comp(),f),g),x) -> app#(f,app(g,x)) ->
    app#(app(app(comp(),f),g),x) -> app#(g,x)
    app#(app(app(comp(),f),g),x) -> app#(f,app(g,x)) ->
    app#(app(app(comp(),f),g),x) -> app#(f,app(g,x))
    app#(app(app(comp(),f),g),x) -> app#(f,app(g,x)) ->
    app#(twice(),f) -> app#(comp(),f)
    app#(app(app(comp(),f),g),x) -> app#(f,app(g,x)) -> app#(twice(),f) -> app#(app(comp(),f),f)
   SCC Processor:
    #sccs: 1
    #rules: 2
    #arcs: 8/16
    DPs:
     app#(app(app(comp(),f),g),x) -> app#(g,x)
     app#(app(app(comp(),f),g),x) -> app#(f,app(g,x))
    TRS:
     app(app(app(comp(),f),g),x) -> app(f,app(g,x))
     app(twice(),f) -> app(app(comp(),f),f)
    Open