/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(a12(a12(x1)))) -> x1
    2: a13(a13(a13(a13(x1)))) -> x1
    3: a14(a14(a14(a14(x1)))) -> x1
    4: a15(a15(a15(a15(x1)))) -> x1
    5: a16(a16(a16(a16(x1)))) -> x1
    6: a23(a23(a23(a23(x1)))) -> x1
    7: a24(a24(a24(a24(x1)))) -> x1
    8: a25(a25(a25(a25(x1)))) -> x1
    9: a26(a26(a26(a26(x1)))) -> x1
    10: a34(a34(a34(a34(x1)))) -> x1
    11: a35(a35(a35(a35(x1)))) -> x1
    12: a36(a36(a36(a36(x1)))) -> x1
    13: a45(a45(a45(a45(x1)))) -> x1
    14: a46(a46(a46(a46(x1)))) -> x1
    15: a56(a56(a56(a56(x1)))) -> x1
    16: a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1))))))
    17: a14(a14(x1)) -> a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))))
    18: a15(a15(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))
    19: a16(a16(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))))
    20: a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1))))))
    21: a25(a25(x1)) -> a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))))
    22: a26(a26(x1)) -> a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))))
    23: a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1))))))
    24: a36(a36(x1)) -> a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))))
    25: a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1))))))
    26: a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1
    27: a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1
    28: a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1
    29: a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1
    30: a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1))))
    31: a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1))))
    32: a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1))))
    33: a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1))))
    34: a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1))))
    35: a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1))))
Number of strict rules: 35
Direct poly ... removes: 18 4 15 8 1 3 16 21 26 19 17 27 22 28 5 10 7 20 25 14 12 23 24 11 9 13 6 29 2
  a36(x1)		w: (22006 + 2 * x1)
  a25(x1)		w: (14625 + 2 * x1)
  a16(x1)		w: (7 + 2 * x1)
  a24(x1)		w: (15452 + 2 * x1)
  a45(x1)		w: (1 + x1)
  a34(x1)		w: (1 + x1)
  a26(x1)		w: (11106 + 2 * x1)
  a56(x1)		w: (1 + x1)
  a13(x1)		w: (18873 + 2 * x1)
  a15(x1)		w: (5 + 2 * x1)
  a14(x1)		w: (11209 + x1)
  a23(x1)		w: (1 + x1)
  a12(x1)		w: (1 + x1)
  a35(x1)		w: (25317 + 2 * x1)
  a46(x1)		w: (28225 + 2 * x1)
Number of strict rules: 6
Direct poly ... removes: 33
  a36(x1)		w: (3290 + 2 * x1)
  a25(x1)		w: (13 + 2 * x1)
  a16(x1)		w: (12 + x1)
  a24(x1)		w: (24234 + 2 * x1)
  a45(x1)		w: (1 + x1)
  a34(x1)		w: (1 + x1)
  a26(x1)		w: (7 + 2 * x1)
  a56(x1)		w: (x1)
  a13(x1)		w: (29832 + 2 * x1)
  a15(x1)		w: (x1)
  a14(x1)		w: (29 + x1)
  a23(x1)		w: (1 + 2 * x1)
  a12(x1)		w: (1 + x1)
  a35(x1)		w: (1 + 2 * x1)
  a46(x1)		w: (2160 + 2 * x1)
Number of strict rules: 5
Direct poly ... removes: 30 31
  a36(x1)		w: (18330 + 2 * x1)
  a25(x1)		w: (67969 + 2 * x1)
  a16(x1)		w: (12522 + x1)
  a24(x1)		w: (39428 + 2 * x1)
  a45(x1)		w: (10702 + x1)
  a34(x1)		w: (1 + x1)
  a26(x1)		w: (8214 + 2 * x1)
  a56(x1)		w: (x1)
  a13(x1)		w: (18838 + x1)
  a15(x1)		w: (x1)
  a14(x1)		w: (236761 + x1)
  a23(x1)		w: (7885 + 2 * x1)
  a12(x1)		w: (2 + 2 * x1)
  a35(x1)		w: (1 + 2 * x1)
  a46(x1)		w: (29849 + 2 * x1)
Number of strict rules: 3
Direct poly ... removes: 34
  a36(x1)		w: (23014 + 2 * x1)
  a25(x1)		w: (13 + 2 * x1)
  a16(x1)		w: (39 + x1)
  a24(x1)		w: (20602 + 2 * x1)
  a45(x1)		w: (1 + x1)
  a34(x1)		w: (1 + x1)
  a26(x1)		w: (1 + 2 * x1)
  a56(x1)		w: (1 + x1)
  a13(x1)		w: (6 + x1)
  a15(x1)		w: (x1)
  a14(x1)		w: (29 + x1)
  a23(x1)		w: (1 + 2 * x1)
  a12(x1)		w: (1 + x1)
  a35(x1)		w: (1 + 2 * x1)
  a46(x1)		w: (9795 + 2 * x1)
Number of strict rules: 2
Direct poly ... removes: 35
  a36(x1)		w: (259725 + 2 * x1)
  a25(x1)		w: (96 + 2 * x1)
  a16(x1)		w: (26011 + x1)
  a24(x1)		w: (16139 + 2 * x1)
  a45(x1)		w: (1 + x1)
  a34(x1)		w: (1 + 2 * x1)
  a26(x1)		w: (1 + 2 * x1)
  a56(x1)		w: (97393 + x1)
  a13(x1)		w: (1 + x1)
  a15(x1)		w: (x1)
  a14(x1)		w: (97 + x1)
  a23(x1)		w: (1 + 2 * x1)
  a12(x1)		w: (1 + x1)
  a35(x1)		w: (7 + 2 * x1)
  a46(x1)		w: (64930 + 2 * x1)
Number of strict rules: 1
Direct poly ... removes: 32
  a36(x1)		w: (11429 + 2 * x1)
  a25(x1)		w: (96 + 2 * x1)
  a16(x1)		w: (1 + x1)
  a24(x1)		w: (21 + 2 * x1)
  a45(x1)		w: (1 + x1)
  a34(x1)		w: (1 + 2 * x1)
  a26(x1)		w: (117 + 2 * x1)
  a56(x1)		w: (2196 + x1)
  a13(x1)		w: (948 + x1)
  a15(x1)		w: (x1)
  a14(x1)		w: (14775 + x1)
  a23(x1)		w: (1 + 2 * x1)
  a12(x1)		w: (38 + 2 * x1)
  a35(x1)		w: (1 + 2 * x1)
  a46(x1)		w: (27935 + 2 * x1)
Number of strict rules: 0