/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 POLO(bPol) ... failed.
Uncurrying 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 POLO(bPol) ... 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 }
POLO(Sum)... succeeded.
      #app^3_if	w: 0
      app^1_cons	w: 0
      false	w: 0
      true	w: 0
      if	w: 0
      nil	w: 0
      #app	w: x2 + 1
      app^1_filter	w: 1
      cons	w: 0
      app^2_if	w: 0
      app^3_if	w: 0
      filter	w: 0
      app^2_filter	w: 0
      app^2_cons	w: x1 + x2 + 2
      app^1_if	w: 0
      #app^2_filter	w: x2
      app	w: 0
    USABLE RULES: { }
    Removed DPs: #1 #4..6
Number of SCCs: 0, DPs: 0