/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES
Input TRS:
    1: app(app(app(if(),true()),x),y) -> x
    2: app(app(app(if(),true()),x),y) -> y
    3: app(app(takeWhile(),p),nil()) -> nil()
    4: app(app(takeWhile(),p),app(app(cons(),x),xs)) -> app(app(app(if(),app(p,x)),app(app(cons(),x),app(app(takeWhile(),p),xs))),nil())
    5: app(app(dropWhile(),p),nil()) -> nil()
    6: app(app(dropWhile(),p),app(app(cons(),x),xs)) -> app(app(app(if(),app(p,x)),app(app(dropWhile(),p),xs)),app(app(cons(),x),xs))
Number of strict rules: 6
Direct poly ... failed.
Freezing app
1: app❆3_if(true(),x,y) -> x
2: app❆3_if(true(),x,y) -> y
3: app❆2_takeWhile(p,nil()) -> nil()
4: app❆2_takeWhile(p,app❆2_cons(x,xs)) -> app❆3_if(app(p,x),app❆2_cons(x,app❆2_takeWhile(p,xs)),nil())
5: app❆2_dropWhile(p,nil()) -> nil()
6: app❆2_dropWhile(p,app❆2_cons(x,xs)) -> app❆3_if(app(p,x),app❆2_dropWhile(p,xs),app❆2_cons(x,xs))
7: app(if(),_1) ->= app❆1_if(_1)
8: app(app❆1_if(_1),_2) ->= app❆2_if(_1,_2)
9: app(app❆2_if(_1,_2),_3) ->= app❆3_if(_1,_2,_3)
10: app(cons(),_1) ->= app❆1_cons(_1)
11: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2)
12: app(dropWhile(),_1) ->= app❆1_dropWhile(_1)
13: app(app❆1_dropWhile(_1),_2) ->= app❆2_dropWhile(_1,_2)
14: app(takeWhile(),_1) ->= app❆1_takeWhile(_1)
15: app(app❆1_takeWhile(_1),_2) ->= app❆2_takeWhile(_1,_2)
Number of strict rules: 6
Direct poly ... failed.
Dependency Pairs:
   #1: #app❆2_dropWhile(p,app❆2_cons(x,xs)) -> #app❆3_if(app(p,x),app❆2_dropWhile(p,xs),app❆2_cons(x,xs))
   #2: #app❆2_dropWhile(p,app❆2_cons(x,xs)) -> #app(p,x)
   #3: #app❆2_dropWhile(p,app❆2_cons(x,xs)) -> #app❆2_dropWhile(p,xs)
   #4: #app(app❆1_dropWhile(_1),_2) ->? #app❆2_dropWhile(_1,_2)
   #5: #app(app❆2_if(_1,_2),_3) ->? #app❆3_if(_1,_2,_3)
   #6: #app(app❆1_takeWhile(_1),_2) ->? #app❆2_takeWhile(_1,_2)
   #7: #app❆2_takeWhile(p,app❆2_cons(x,xs)) -> #app❆3_if(app(p,x),app❆2_cons(x,app❆2_takeWhile(p,xs)),nil())
   #8: #app❆2_takeWhile(p,app❆2_cons(x,xs)) -> #app(p,x)
   #9: #app❆2_takeWhile(p,app❆2_cons(x,xs)) -> #app❆2_takeWhile(p,xs)
Number of SCCs: 1, DPs: 6
	SCC { #2..4 #6 #8 #9 }
Sum... succeeded.
  #app❆2_dropWhile(x1,x2)		w: (38 + x2)
  app❆1_if(x1)		w: (0)
  app❆2_takeWhile(x1,x2)		w: (0)
  #app❆3_if(x1,x2,x3)		w: (0)
  app❆2_dropWhile(x1,x2)		w: (0)
  app❆1_takeWhile(x1)		w: (1)
  app❆2_if(x1,x2)		w: (0)
  true()		w: (0)
  takeWhile()		w: (0)
  if()		w: (0)
  nil()		w: (0)
  app❆3_if(x1,x2,x3)		w: (0)
  #app(x1,x2)		w: (39 + x2)
  app❆1_dropWhile(x1)		w: (1)
  #app❆2_takeWhile(x1,x2)		w: (38 + x2)
  cons()		w: (0)
  app❆2_cons(x1,x2)		w: (2 + x2 + x1)
  app❆1_cons(x1)		w: (0)
  dropWhile()		w: (0)
  app(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2..4 #6 #8 #9
Number of SCCs: 0, DPs: 0