/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: f(X) -> cons(X,n__f(n__g(X)))
    2: g(0()) -> s(0())
    3: g(s(X)) -> s(s(g(X)))
    4: sel(0(),cons(X,Y)) -> X
    5: sel(s(X),cons(Y,Z)) -> sel(X,activate(Z))
    6: f(X) -> n__f(X)
    7: g(X) -> n__g(X)
    8: activate(n__f(X)) -> f(activate(X))
    9: activate(n__g(X)) -> g(activate(X))
    10: activate(X) -> X
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #activate(n__g(X)) -> #g(activate(X))
   #2: #activate(n__g(X)) -> #activate(X)
   #3: #sel(s(X),cons(Y,Z)) -> #sel(X,activate(Z))
   #4: #sel(s(X),cons(Y,Z)) -> #activate(Z)
   #5: #g(s(X)) -> #g(X)
   #6: #activate(n__f(X)) -> #f(activate(X))
   #7: #activate(n__f(X)) -> #activate(X)
Number of SCCs: 3, DPs: 4
  SCC { #5 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      activate	w: 0
      #activate	w: 0
      f 	w: 0
      0 	w: 0
      #sel	w: 0
      sel	w: 0
      n__f	w: 0
      #f 	w: 0
      #g 	w: x1
      n__g	w: 0
      cons	w: 0
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 2, DPs: 3
  SCC { #3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      activate	w: x1 + 1
      #activate	w: 0
      f 	w: x1 + 2
      0 	w: 1
      #sel	w: x1
      sel	w: 0
      n__f	w: 1
      #f 	w: 0
      #g 	w: 0
      n__g	w: x1 + 1
      cons	w: x1 + x2 + 1
      g 	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
  SCC { #2 #7 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      activate	w: x1 + 1
      #activate	w: x1
      f 	w: x1 + 2
      0 	w: 1
      #sel	w: 0
      sel	w: 0
      n__f	w: x1 + 1
      #f 	w: 0
      #g 	w: 0
      n__g	w: x1 + 1
      cons	w: x1 + 1
      g 	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #2 #7
Number of SCCs: 0, DPs: 0