- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] app(app(max,0),x) -> x
[2] app(app(max,x),0) -> x
[3] app(app(max,app(s,x)),app(s,y)) -> app(app(max,x),y)
[4] app(app(min,0),x) -> 0
[5] app(app(min,x),0) -> 0
[6] app(app(min,app(s,x)),app(s,y)) -> app(app(min,x),y)
[7] app(app(app(app(insert,f),g),nil),x) -> app(app(cons,x),nil)
[8] app(app(app(app(insert,f),g),app(app(cons,h),t)),x) ->
 app(app(cons,app(app(f,x),h)),
  app(app(app(app(insert,f),g),t),app(app(g,x),h)))
[9] app(app(app(sort,f),g),nil) -> nil
[10] app(app(app(sort,f),g),app(app(cons,h),t)) ->
 app(app(app(app(insert,f),g),app(app(app(sort,f),g),t)),h)
[11] app(ascending_sort,l) -> app(app(app(sort,min),max),l)
[12] app(descending_sort,l) -> app(app(app(sort,max),min),l)


Sub problem: 
guided: 

DP termination of:
<Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
<Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(max,x)>
<Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
<Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(min,x)>
<Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)>
<Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(cons,x)>
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                               app(cons,
                                                                app(app(f,x),h)),
                                                               app(app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                app(app(g,x),h)))
                                                               >
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                               cons,
                                                               app(app(f,x),h))>
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                               app(f,
                                                                x),h)>
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)>
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                t),
                                                               app(app(g,x),h))>
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),t)>
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                               app(g,
                                                                x),h)>
<Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)>
<Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                                  t)),
                                                      h)>
<Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(app(
                                                                    insert,
                                                                    f),
                                                                 g),
                                                      app(app(app(sort,f),g),t))>
<Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                      g)>
<Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(insert,f)>
<Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(app(sort,f),
                                                                 g),t)>
<Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
<Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
<Marked_app(ascending_sort,l) , Marked_app(sort,min)>
<Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
<Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
<Marked_app(descending_sort,l) , Marked_app(sort,max)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
      --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(insert,f),
                                                        g)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t))> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(g,x)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(f,x)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h)))> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),nil)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(sort,max),min)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(descending_sort,l) , Marked_app(app(app(sort,max),min),l)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(sort,min),max)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(ascending_sort,l) , Marked_app(app(app(sort,min),max),l)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(sort,f),
                                                                g),t)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(insert,
                                                                f),g)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    insert,
                                                                    f),
                                                                g),
                                                               app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                t))>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(sort,f),g),app(app(cons,h),t)) , Marked_app(
                                                               app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                app(app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                 t)),
                                                               h)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    g,x)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    g,
                                                                    x),h)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),t)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h))>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    f,x)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    f,
                                                                    x),h)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) , Marked_app(
                                                                    app(
                                                                    cons,
                                                                    app(
                                                                    app(
                                                                    f,
                                                                    x),
                                                                    h)),
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                    app(
                                                                    app(
                                                                    g,
                                                                    x),
                                                                    h)))>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(app(app(insert,f),g),nil),x) , Marked_app(app(cons,x),
                                                         nil)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(min,app(s,x)),app(s,y)) , Marked_app(app(min,x),y)>
  <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)> 
     --> <Marked_app(app(max,app(s,x)),app(s,y)) , Marked_app(app(max,x),y)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= app(app(cons,
                                                              app(app(f,x),h)),
                                                          app(app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                               t),
                                                           app(app(g,x),h))) ;
  app(app(app(app(insert,f),g),nil),x) >= app(app(cons,x),nil) ;
  app(app(app(sort,f),g),app(app(cons,h),t)) >= app(app(app(app(insert,f),g),
                                                     app(app(app(sort,f),g),t)),
                                                 h) ;
  app(app(app(sort,f),g),nil) >= nil ;
  app(app(max,app(s,x)),app(s,y)) >= app(app(max,x),y) ;
  app(app(max,0),x) >= x ;
  app(app(max,x),0) >= x ;
  app(app(min,app(s,x)),app(s,y)) >= app(app(min,x),y) ;
  app(app(min,0),x) >= 0 ;
  app(app(min,x),0) >= 0 ;
  app(ascending_sort,l) >= app(app(app(sort,min),max),l) ;
  app(descending_sort,l) >= app(app(app(sort,max),min),l) ;
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= Marked_app(
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  t),
                                                                 app(
                                                                  app(g,x),
                                                                  h)) ;
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= Marked_app(
                                                                 app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                                 t) ;
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= Marked_app(
                                                                 app(
                                                                  cons,
                                                                  app(
                                                                   app(f,x),
                                                                   h)),
                                                                 app(
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   t),
                                                                  app(
                                                                   app(g,x),
                                                                   h))) ;
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= Marked_app(
                                                                 app(
                                                                  f,x),
                                                                 h) ;
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= Marked_app(
                                                                 app(
                                                                  g,x),
                                                                 h) ;
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= Marked_app(f,x) ;
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) >= Marked_app(g,x) ;
  Marked_app(app(app(app(insert,f),g),nil),x) >= Marked_app(app(cons,x),nil) ;
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) >= Marked_app(app(
                                                                   app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                   app(
                                                                    app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                    t)),
                                                        h) ;
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) >= Marked_app(app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                        app(app(app(sort,f),g),
                                                         t)) ;
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) >= Marked_app(app(
                                                                   app(
                                                                    sort,
                                                                    f),
                                                                   g),
                                                        t) ;
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) >= Marked_app(app(insert,f),
                                                        g) ;
  Marked_app(app(max,app(s,x)),app(s,y)) >= Marked_app(app(max,x),y) ;
  Marked_app(app(min,app(s,x)),app(s,y)) >= Marked_app(app(min,x),y) ;
  Marked_app(ascending_sort,l) >= Marked_app(app(app(sort,min),max),l) ;
  Marked_app(ascending_sort,l) >= Marked_app(app(sort,min),max) ;
  Marked_app(descending_sort,l) >= Marked_app(app(app(sort,max),min),l) ;
  Marked_app(descending_sort,l) >= Marked_app(app(sort,max),min) ;
 }
 + Disjunctions:{ 
{
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) > Marked_app(
                                                                app(app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                 t),
                                                                app(app(g,x),h)) ;
 }
{
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) > Marked_app(
                                                                app(app(
                                                                    insert,
                                                                    f),
                                                                 g),t) ;
 }
{
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) > Marked_app(
                                                                app(cons,
                                                                 app(
                                                                  app(f,x),
                                                                  h)),
                                                                app(app(
                                                                    app(
                                                                    app(
                                                                    insert,
                                                                    f),
                                                                    g),
                                                                    t),
                                                                 app(
                                                                  app(g,x),
                                                                  h))) ;
 }
{
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) > Marked_app(
                                                                app(f,
                                                                 x),h) ;
 }
{
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) > Marked_app(
                                                                app(g,
                                                                 x),h) ;
 }
{
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) > Marked_app(f,x) ;
 }
{
  Marked_app(app(app(app(insert,f),g),app(app(cons,h),t)),x) > Marked_app(g,x) ;
 }
{
  Marked_app(app(app(app(insert,f),g),nil),x) > Marked_app(app(cons,x),nil) ;
 }
{
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) > Marked_app(app(
                                                                  app(
                                                                   app(
                                                                    insert,
                                                                    f),
                                                                   g),
                                                                  app(
                                                                   app(
                                                                    app(
                                                                    sort,
                                                                    f),
                                                                    g),
                                                                   t)),
                                                       h) ;
 }
{
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) > Marked_app(app(
                                                                  app(
                                                                   insert,
                                                                   f),
                                                                  g),
                                                       app(app(app(sort,f),g),
                                                        t)) ;
 }
{
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) > Marked_app(app(
                                                                  app(
                                                                   sort,
                                                                   f),
                                                                  g),
                                                       t) ;
 }
{
  Marked_app(app(app(sort,f),g),app(app(cons,h),t)) > Marked_app(app(insert,f),
                                                       g) ;
 }
{
  Marked_app(app(max,app(s,x)),app(s,y)) > Marked_app(app(max,x),y) ;
 }
{
  Marked_app(app(min,app(s,x)),app(s,y)) > Marked_app(app(min,x),y) ;
 }
{
  Marked_app(ascending_sort,l) > Marked_app(app(app(sort,min),max),l) ;
 }
{
  Marked_app(ascending_sort,l) > Marked_app(app(sort,min),max) ;
 }
{
  Marked_app(descending_sort,l) > Marked_app(app(app(sort,max),min),l) ;
 }
{
  Marked_app(descending_sort,l) > Marked_app(app(sort,max),min) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
No solution found for these parameters.
Entering rpo_solver
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 25.000000 ===
Search parameters: AFS type: 2 ; time limit: 25.. 
=== STOPING TIMER virtual ===
=== TIMER virtual : 15.000000 ===
Entering poly_solver
Starting Sat solver initialization
=== STOPING TIMER virtual ===
Time out for these parameters.
=== TIMER virtual : 50.000000 ===
trying sub matrices of size: 1
Matrix interpretation constraints generated.
Search parameters: LINEAR MATRIX 3x3 (strict=1x1) ; time limit: 50.. 
Termination constraints generated.
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 50.000000 ===
=== STOPING TIMER real ===
Sat timeout reached
=== STOPING TIMER virtual ===
No solution found for these parameters.
No solution found for these constraints.
APPLY CRITERIA (ID_CRIT)
NOT SOLVED
No proof found
Cime worked for 100.033676 seconds (real time)
Cime Exit Status: 0