/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: a__f(0()) -> cons(0(),f(s(0())))
    2: a__f(s(0())) -> a__f(a__p(s(0())))
    3: a__p(s(0())) -> 0()
    4: mark(f(X)) -> a__f(mark(X))
    5: mark(p(X)) -> a__p(mark(X))
    6: mark(0()) -> 0()
    7: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    8: mark(s(X)) -> s(mark(X))
    9: a__f(X) -> f(X)
    10: a__p(X) -> p(X)
Number of strict rules: 10
Direct POLO(bPol) ... removes: 6
      s 	w: x1
      a__f	w: x1 + 3
      a__p	w: x1
      f 	w: x1 + 3
      p 	w: x1
      0 	w: 0
      mark	w: x1 + 1
      cons	w: x1 + x2
Number of strict rules: 9
Direct POLO(bPol) ... removes: 4 1 9
      s 	w: x1
      a__f	w: x1 + 5
      a__p	w: x1
      f 	w: x1 + 3
      p 	w: x1
      0 	w: 1
      mark	w: 2 * x1 + 1
      cons	w: x1 + x2
Number of strict rules: 6
Direct POLO(bPol) ... removes: 3
      s 	w: x1 + 1
      a__f	w: x1 + 3
      a__p	w: x1
      f 	w: x1 + 3
      p 	w: x1
      0 	w: 1
      mark	w: x1 + 1
      cons	w: x1 + x2 + 1
Number of strict rules: 5
Direct POLO(bPol) ... removes: 8 7
      s 	w: 2 * x1 + 5
      a__f	w: x1 + 4
      a__p	w: x1
      f 	w: x1 + 4
      p 	w: x1
      0 	w: 1
      mark	w: 2 * x1 + 1
      cons	w: x1 + x2 + 1
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #a__f(s(0())) -> #a__f(a__p(s(0())))
   #2: #a__f(s(0())) -> #a__p(s(0()))
   #3: #mark(p(X)) -> #a__p(mark(X))
   #4: #mark(p(X)) -> #mark(X)
Number of SCCs: 1, DPs: 1
  SCC { #4 }
POLO(Sum)... succeeded.
      s 	w: 0
      a__f	w: 0
      a__p	w: 0
      f 	w: 0
      p 	w: x1 + 1
      #mark	w: x1
      0 	w: 0
      mark	w: 0
      #a__p	w: 0
      cons	w: 0
      #a__f	w: 0
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0