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