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


--------------------------------------------------------------------------------


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 POLO(bPol) ... failed.
Uncurrying 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 POLO(bPol) ... 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 }
POLO(Sum)... succeeded.
      app^1_cons	w: 0
      app^2_filtersub	w: x1 + x2 + 1
      false	w: 1
      true	w: 1
      filtersub	w: 0
      app^3_filtersub	w: 0
      nil	w: 0
      app^1_filtersub	w: 0
      #app	w: x1 + x2
      app^1_filter	w: x1 + 2
      #app^3_filtersub	w: x1 + x2 + x3
      cons	w: 0
      filter	w: 0
      app^2_filter	w: 0
      app^2_cons	w: x1 + x2 + 1
      #app^2_filter	w: x1 + x2 + 1
      app	w: 0
    USABLE RULES: { }
    Removed DPs: #2..6
Number of SCCs: 0, DPs: 0