/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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