/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: f(0()) -> cons(0(),n__f(n__s(n__0())))
    2: f(s(0())) -> f(p(s(0())))
    3: p(s(X)) -> X
    4: f(X) -> n__f(X)
    5: s(X) -> n__s(X)
    6: 0() -> n__0()
    7: activate(n__f(X)) -> f(activate(X))
    8: activate(n__s(X)) -> s(activate(X))
    9: activate(n__0()) -> 0()
    10: activate(X) -> X
Number of strict rules: 10
Direct POLO(bPol) ... removes: 10 9 6
      s 	w: x1
      activate	w: x1 + 3
      f 	w: x1 + 1
      n__s	w: x1
      p 	w: x1
      0 	w: 2
      n__f	w: x1 + 1
      n__0	w: 0
      cons	w: x1 + x2
Number of strict rules: 7
Direct POLO(bPol) ... removes: 1
      s 	w: x1
      activate	w: x1
      f 	w: 2 * x1 + 1
      n__s	w: x1
      p 	w: x1
      0 	w: 2
      n__f	w: 2 * x1 + 1
      n__0	w: 0
      cons	w: x1 + x2
Number of strict rules: 6
Direct POLO(bPol) ... removes: 3
      s 	w: x1 + 1
      activate	w: x1 + 1
      f 	w: x1 + 1
      n__s	w: x1 + 1
      p 	w: x1
      0 	w: 2
      n__f	w: x1 + 1
      n__0	w: 0
      cons	w: x1 + x2
Number of strict rules: 5
Direct POLO(bPol) ... removes: 4 8 5 7
      s 	w: x1 + 3
      activate	w: 2 * x1 + 1
      f 	w: x1 + 3
      n__s	w: x1 + 2
      p 	w: x1
      0 	w: 2
      n__f	w: x1 + 2
      n__0	w: 0
      cons	w: x1 + x2
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying f
2: f^1_s(0()) -> f^1_p(s(0()))
11: f(p(_1)) ->= f^1_p(_1)
12: f(s(_1)) ->= f^1_s(_1)
Number of strict rules: 1
Direct POLO(bPol) ... removes: 12 11 2
      s 	w: 2 * x1 + 1
      activate	w: x1
      f 	w: 2 * x1 + 4
      n__s	w: x1
      p 	w: 2 * x1 + 1
      0 	w: 1
      n__f	w: x1
      f^1_p	w: 2 * x1
      n__0	w: 0
      cons	w: x1 + x2
      f^1_s	w: 2 * x1 + 5
Number of strict rules: 0