/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: active(2nd(cons(X,cons(Y,Z)))) -> mark(Y)
    2: active(from(X)) -> mark(cons(X,from(s(X))))
    3: active(2nd(X)) -> 2nd(active(X))
    4: active(cons(X1,X2)) -> cons(active(X1),X2)
    5: active(from(X)) -> from(active(X))
    6: active(s(X)) -> s(active(X))
    7: 2nd(mark(X)) -> mark(2nd(X))
    8: cons(mark(X1),X2) -> mark(cons(X1,X2))
    9: from(mark(X)) -> mark(from(X))
    10: s(mark(X)) -> mark(s(X))
    11: proper(2nd(X)) -> 2nd(proper(X))
    12: proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    13: proper(from(X)) -> from(proper(X))
    14: proper(s(X)) -> s(proper(X))
    15: 2nd(ok(X)) -> ok(2nd(X))
    16: cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
    17: from(ok(X)) -> ok(from(X))
    18: s(ok(X)) -> ok(s(X))
    19: top(mark(X)) -> top(proper(X))
    20: top(ok(X)) -> top(active(X))
Number of strict rules: 20
Direct POLO(bPol) ... removes: 4 8 1 3 16 19 17 5 7 20 9 2
      s 	w: x1
      top	w: x1
      2nd	w: 2 * x1 + 7
      proper	w: x1
      ok	w: 2 * x1 + 7
      from	w: 2 * x1 + 3
      mark	w: x1 + 1
      active	w: 2 * x1 + 1
      cons	w: 2 * x1 + x2 + 2
Number of strict rules: 8
Direct POLO(bPol) ... removes: 15
      s 	w: x1
      top	w: x1
      2nd	w: 2 * x1 + 7
      proper	w: x1
      ok	w: 2 * x1 + 8
      from	w: 2 * x1 + 3
      mark	w: x1 + 1
      active	w: 2 * x1 + 1
      cons	w: 2 * x1 + x2 + 2
Number of strict rules: 7
Direct POLO(bPol) ... removes: 14 12 11
      s 	w: x1 + 1
      top	w: x1
      2nd	w: 2 * x1 + 7
      proper	w: 2 * x1
      ok	w: x1 + 1
      from	w: 2 * x1
      mark	w: x1 + 1
      active	w: x1
      cons	w: 2 * x1 + x2 + 11
Number of strict rules: 4
Direct POLO(bPol) ... removes: 6
      s 	w: x1 + 1
      top	w: x1
      2nd	w: 2 * x1 + 7
      proper	w: 2 * x1
      ok	w: x1 + 1
      from	w: 2 * x1
      mark	w: x1 + 1
      active	w: 2 * x1
      cons	w: x1 + 2 * x2 + 11
Number of strict rules: 3
Direct POLO(bPol) ... removes: 18 13
      s 	w: 2 * x1 + 1
      top	w: x1
      2nd	w: 2 * x1 + 7
      proper	w: 2 * x1 + 1
      ok	w: x1 + 1
      from	w: x1 + 1
      mark	w: x1
      active	w: 2 * x1
      cons	w: x1 + 2 * x2 + 11
Number of strict rules: 1
Direct POLO(bPol) ... removes: 10
      s 	w: 2 * x1 + 1
      top	w: x1
      2nd	w: x1 + 4
      proper	w: 2 * x1 + 11
      ok	w: x1 + 1
      from	w: x1 + 1
      mark	w: x1 + 9
      active	w: x1 + 2
      cons	w: 2 * x1 + x2 + 1
Number of strict rules: 0