/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: a12(a12(x1)) -> x1
    2: a13(a13(x1)) -> x1
    3: a14(a14(x1)) -> x1
    4: a15(a15(x1)) -> x1
    5: a16(a16(x1)) -> x1
    6: a23(a23(x1)) -> x1
    7: a24(a24(x1)) -> x1
    8: a25(a25(x1)) -> x1
    9: a26(a26(x1)) -> x1
    10: a34(a34(x1)) -> x1
    11: a35(a35(x1)) -> x1
    12: a36(a36(x1)) -> x1
    13: a45(a45(x1)) -> x1
    14: a46(a46(x1)) -> x1
    15: a56(a56(x1)) -> x1
    16: a13(x1) -> a12(a23(a12(x1)))
    17: a14(x1) -> a12(a23(a34(a23(a12(x1)))))
    18: a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1)))))))
    19: a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1)))))))))
    20: a24(x1) -> a23(a34(a23(x1)))
    21: a25(x1) -> a23(a34(a45(a34(a23(x1)))))
    22: a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1)))))))
    23: a35(x1) -> a34(a45(a34(x1)))
    24: a36(x1) -> a34(a45(a56(a45(a34(x1)))))
    25: a46(x1) -> a45(a56(a45(x1)))
    26: a12(a23(a12(a23(a12(a23(x1)))))) -> x1
    27: a23(a34(a23(a34(a23(a34(x1)))))) -> x1
    28: a34(a45(a34(a45(a34(a45(x1)))))) -> x1
    29: a45(a56(a45(a56(a45(a56(x1)))))) -> x1
    30: a12(a34(x1)) -> a34(a12(x1))
    31: a12(a45(x1)) -> a45(a12(x1))
    32: a12(a56(x1)) -> a56(a12(x1))
    33: a23(a45(x1)) -> a45(a23(x1))
    34: a23(a56(x1)) -> a56(a23(x1))
    35: a34(a56(x1)) -> a56(a34(x1))
Number of strict rules: 35
Direct POLO(bPol) ... removes: 18 4 15 8 3 16 21 19 17 22 28 5 7 20 25 14 12 23 24 11 9 13 29 2
      a36	w: 2 * x1 + 29
      a25	w: 2 * x1 + 36
      a16	w: 2 * x1 + 29
      a24	w: 2 * x1 + 8
      a45	w: x1 + 9
      a34	w: x1
      a26	w: 2 * x1 + 84
      a56	w: 2 * x1 + 1
      a13	w: 2 * x1 + 21
      a15	w: x1 + 76
      a14	w: x1 + 33
      a23	w: x1
      a12	w: x1
      a35	w: 2 * x1 + 10
      a46	w: 2 * x1 + 29
Number of strict rules: 11
Direct POLO(bPol) ... removes: 33
      a36	w: 2 * x1 + 41
      a25	w: 2 * x1 + 36
      a16	w: 2 * x1 + 154
      a24	w: 2 * x1 + 8
      a45	w: x1 + 13
      a34	w: x1
      a26	w: 2 * x1 + 84
      a56	w: 2 * x1
      a13	w: 2 * x1 + 21
      a15	w: 2 * x1 + 25
      a14	w: x1 + 33
      a23	w: 2 * x1
      a12	w: x1
      a35	w: 2 * x1 + 14
      a46	w: 2 * x1 + 39
Number of strict rules: 10
Direct POLO(bPol) ... removes: 31
      a36	w: 2 * x1 + 41
      a25	w: 2 * x1 + 25
      a16	w: 2 * x1 + 96
      a24	w: 2 * x1 + 8
      a45	w: x1 + 8
      a34	w: x1
      a26	w: 2 * x1 + 84
      a56	w: 2 * x1
      a13	w: 2 * x1 + 21
      a15	w: 2 * x1 + 4
      a14	w: x1 + 33
      a23	w: 2 * x1
      a12	w: 2 * x1
      a35	w: 2 * x1 + 8
      a46	w: 2 * x1 + 24
Number of strict rules: 9
Direct POLO(bPol) ... removes: 1 26 32 27 10 30 6
      a36	w: 2 * x1 + 1
      a25	w: x1 + 31
      a16	w: x1 + 1
      a24	w: x1 + 1
      a45	w: 2 * x1 + 26
      a34	w: x1 + 1
      a26	w: 2 * x1 + 1
      a56	w: x1 + 1
      a13	w: x1 + 1
      a15	w: 2 * x1 + 26
      a14	w: x1 + 1
      a23	w: x1 + 1
      a12	w: 2 * x1 + 27
      a35	w: x1 + 28
      a46	w: 2 * x1 + 53
Number of strict rules: 2
Direct POLO(bPol) ... removes: 34
      a36	w: x1 + 17
      a25	w: x1 + 1
      a16	w: x1 + 1
      a24	w: x1 + 2
      a45	w: 2 * x1 + 2
      a34	w: x1
      a26	w: x1 + 1
      a56	w: 2 * x1 + 4
      a13	w: x1 + 1
      a15	w: x1 + 26
      a14	w: 2 * x1 + 1
      a23	w: 2 * x1 + 3
      a12	w: x1 + 1
      a35	w: x1 + 1
      a46	w: 2 * x1 + 17
Number of strict rules: 1
Direct POLO(bPol) ... removes: 35
      a36	w: x1 + 17
      a25	w: x1 + 1
      a16	w: x1 + 1
      a24	w: x1 + 2
      a45	w: 2 * x1 + 1
      a34	w: 2 * x1 + 1
      a26	w: x1 + 1
      a56	w: 2 * x1 + 4
      a13	w: x1 + 1
      a15	w: x1 + 26
      a14	w: x1 + 1
      a23	w: 2 * x1 + 3
      a12	w: x1 + 4
      a35	w: x1 + 1
      a46	w: 2 * x1 + 12
Number of strict rules: 0