/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(f(X))) -> mark(c(f(g(f(X)))))
    2: active(c(X)) -> mark(d(X))
    3: active(h(X)) -> mark(c(d(X)))
    4: active(f(X)) -> f(active(X))
    5: active(h(X)) -> h(active(X))
    6: f(mark(X)) -> mark(f(X))
    7: h(mark(X)) -> mark(h(X))
    8: proper(f(X)) -> f(proper(X))
    9: proper(c(X)) -> c(proper(X))
    10: proper(g(X)) -> g(proper(X))
    11: proper(d(X)) -> d(proper(X))
    12: proper(h(X)) -> h(proper(X))
    13: f(ok(X)) -> ok(f(X))
    14: c(ok(X)) -> ok(c(X))
    15: g(ok(X)) -> ok(g(X))
    16: d(ok(X)) -> ok(d(X))
    17: h(ok(X)) -> ok(h(X))
    18: top(mark(X)) -> top(proper(X))
    19: top(ok(X)) -> top(active(X))
Number of strict rules: 19
Direct POLO(bPol) ... removes: 18 4 1 3 19 14 13 6 2
      h 	w: x1
      d 	w: x1
      top	w: x1
      c 	w: 2 * x1 + 1
      f 	w: 2 * x1 + 4
      proper	w: x1
      ok	w: 2 * x1 + 5
      mark	w: x1 + 1
      active	w: 2 * x1 + 3
      g 	w: x1
Number of strict rules: 10
Direct POLO(bPol) ... removes: 17
      h 	w: 2 * x1
      d 	w: x1
      top	w: x1
      c 	w: 2 * x1 + 1
      f 	w: 2 * x1 + 1
      proper	w: x1
      ok	w: 2 * x1 + 1
      mark	w: x1
      active	w: 2 * x1
      g 	w: x1
Number of strict rules: 9
Direct POLO(bPol) ... removes: 16
      h 	w: 2 * x1
      d 	w: 2 * x1
      top	w: x1
      c 	w: 2 * x1 + 1
      f 	w: 2 * x1 + 1
      proper	w: x1
      ok	w: 2 * x1 + 1
      mark	w: x1
      active	w: 2 * x1
      g 	w: x1
Number of strict rules: 8
Direct POLO(bPol) ... removes: 15
      h 	w: 2 * x1
      d 	w: 2 * x1
      top	w: x1
      c 	w: x1 + 7
      f 	w: x1
      proper	w: x1
      ok	w: 2 * x1 + 1
      mark	w: x1
      active	w: 2 * x1
      g 	w: 2 * x1
Number of strict rules: 7
Direct POLO(bPol) ... removes: 5
      h 	w: x1 + 1
      d 	w: 2 * x1
      top	w: x1
      c 	w: x1 + 7
      f 	w: x1
      proper	w: x1
      ok	w: 2 * x1 + 1
      mark	w: x1
      active	w: 2 * x1
      g 	w: 2 * x1
Number of strict rules: 6
Direct POLO(bPol) ... removes: 8 10 11 9
      h 	w: x1
      d 	w: 2 * x1 + 3
      top	w: x1
      c 	w: 2 * x1 + 3
      f 	w: x1 + 3
      proper	w: 2 * x1 + 2
      ok	w: x1 + 1
      mark	w: 2 * x1 + 1
      active	w: x1 + 1
      g 	w: x1 + 1
Number of strict rules: 2
Direct POLO(bPol) ... removes: 12
      h 	w: x1 + 1
      d 	w: x1 + 8
      top	w: 2 * x1
      c 	w: x1 + 3
      f 	w: x1 + 1
      proper	w: 2 * x1 + 2
      ok	w: 2 * x1 + 1
      mark	w: x1 + 1
      active	w: 2 * x1 + 2
      g 	w: x1 + 1
Number of strict rules: 1
Direct POLO(bPol) ... removes: 7
      h 	w: 2 * x1 + 5
      d 	w: x1 + 7
      top	w: 2 * x1
      c 	w: x1 + 3
      f 	w: x1 + 1
      proper	w: 2 * x1 + 4
      ok	w: 2 * x1 + 1
      mark	w: x1 + 3
      active	w: 2 * x1 + 2
      g 	w: x1 + 1
Number of strict rules: 0