/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: active(f(X)) -> mark(g(h(f(X))))
    2: active(f(X)) -> f(active(X))
    3: active(h(X)) -> h(active(X))
    4: f(mark(X)) -> mark(f(X))
    5: h(mark(X)) -> mark(h(X))
    6: proper(f(X)) -> f(proper(X))
    7: proper(g(X)) -> g(proper(X))
    8: proper(h(X)) -> h(proper(X))
    9: f(ok(X)) -> ok(f(X))
    10: g(ok(X)) -> ok(g(X))
    11: h(ok(X)) -> ok(h(X))
    12: top(mark(X)) -> top(proper(X))
    13: top(ok(X)) -> top(active(X))
Number of strict rules: 13
Direct POLO(bPol) ... removes: 4 1 10 12 9 13 2
      h 	w: x1
      top	w: x1
      f 	w: 2 * x1 + 4
      proper	w: x1
      ok	w: 2 * x1 + 5
      mark	w: x1 + 1
      active	w: 2 * x1 + 3
      g 	w: 2 * x1 + 1
Number of strict rules: 6
Direct POLO(bPol) ... removes: 7
      h 	w: x1
      top	w: x1
      f 	w: 2 * x1 + 2
      proper	w: 2 * x1 + 2
      ok	w: x1 + 1
      mark	w: x1 + 1
      active	w: 2 * x1 + 2
      g 	w: 2 * x1 + 3
Number of strict rules: 5
Direct POLO(bPol) ... removes: 6
      h 	w: x1
      top	w: x1
      f 	w: 2 * x1 + 3
      proper	w: 2 * x1 + 2
      ok	w: x1 + 1
      mark	w: x1 + 1
      active	w: 2 * x1 + 2
      g 	w: 2 * x1 + 3
Number of strict rules: 4
Direct POLO(bPol) ... removes: 5 11
      h 	w: 2 * x1
      top	w: x1
      f 	w: x1 + 1
      proper	w: x1
      ok	w: 2 * x1 + 1
      mark	w: 2 * x1 + 1
      active	w: 2 * x1
      g 	w: x1 + 7
Number of strict rules: 2
Direct POLO(bPol) ... removes: 3
      h 	w: x1 + 1
      top	w: x1
      f 	w: x1 + 1
      proper	w: x1
      ok	w: 2 * x1 + 1
      mark	w: 2 * x1 + 1
      active	w: 2 * x1
      g 	w: x1 + 7
Number of strict rules: 1
Direct POLO(bPol) ... removes: 8
      h 	w: x1 + 1
      top	w: x1
      f 	w: x1 + 1
      proper	w: 2 * x1
      ok	w: 2 * x1 + 1
      mark	w: 2 * x1 + 1
      active	w: 2 * x1
      g 	w: x1 + 7
Number of strict rules: 0