/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(nil(),k) -> k
    2: app(l,nil()) -> l
    3: app(cons(x,l),k) -> cons(x,app(l,k))
    4: sum(cons(x,nil())) -> cons(x,nil())
    5: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l))
    6: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k)))))
    7: plus(0(),y) -> y
    8: plus(s(x),y) -> s(plus(x,y))
    9: cons(x,cons(y,l)) ->= cons(y,cons(x,l))
Number of strict rules: 8
Direct POLO(bPol) ... removes: 1 5 7 2
      s 	w: x1 + 1
      sum	w: x1
      0 	w: 1
      nil	w: 1
      plus	w: x1 + x2 + 1
      cons	w: 2 * x1 + x2 + 3
      app	w: x1 + x2 + 1
Number of strict rules: 4
Direct POLO(bPol) ... removes: 3
      s 	w: x1 + 1
      sum	w: x1
      0 	w: 1
      nil	w: 1
      plus	w: x1 + x2 + 1
      cons	w: 2 * x1 + x2 + 3
      app	w: 2 * x1 + x2 + 1
Number of strict rules: 3
Direct POLO(bPol) ... removes: 8
      s 	w: x1 + 1
      sum	w: x1
      0 	w: 1
      nil	w: 1
      plus	w: 2 * x1 + x2 + 1
      cons	w: x1 + x2 + 3
      app	w: 2 * x1 + x2 + 1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #sum(app(l,cons(x,cons(y,k)))) -> #sum(app(l,sum(cons(x,cons(y,k)))))
   #2: #sum(app(l,cons(x,cons(y,k)))) -> #sum(cons(x,cons(y,k)))
Number of SCCs: 0, DPs: 0