/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: 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 POLO(bPol) ... 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	w: 2 * x1 + 23685
      a25	w: 2 * x1 + 5
      a16	w: 2 * x1 + 7
      a24	w: x1 + 32613
      a45	w: x1 + 1
      a34	w: x1 + 1
      a26	w: x1 + 2906
      a56	w: x1 + 1
      a13	w: 2 * x1 + 34735
      a15	w: x1 + 8
      a14	w: 2 * x1 + 29513
      a23	w: x1 + 1
      a12	w: x1 + 1
      a35	w: 2 * x1 + 12521
      a46	w: 2 * x1 + 23722
Number of strict rules: 6
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a34(a34(a56(a56(x1)))) -> #a34(a34(x1))
     #2: #a34(a34(a56(a56(x1)))) -> #a34(x1)
     #3: #a12(a12(a45(a45(x1)))) -> #a12(a12(x1))
     #4: #a12(a12(a45(a45(x1)))) -> #a12(x1)
     #5: #a12(a12(a34(a34(x1)))) -> #a34(a34(a12(a12(x1))))
     #6: #a12(a12(a34(a34(x1)))) -> #a34(a12(a12(x1)))
     #7: #a12(a12(a34(a34(x1)))) -> #a12(a12(x1))
     #8: #a12(a12(a34(a34(x1)))) -> #a12(x1)
     #9: #a23(a23(a45(a45(x1)))) -> #a23(a23(x1))
     #10: #a23(a23(a45(a45(x1)))) -> #a23(x1)
     #11: #a23(a23(a56(a56(x1)))) -> #a23(a23(x1))
     #12: #a23(a23(a56(a56(x1)))) -> #a23(x1)
     #13: #a12(a12(a56(a56(x1)))) -> #a12(a12(x1))
     #14: #a12(a12(a56(a56(x1)))) -> #a12(x1)
Number of SCCs: 3, DPs: 12
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      a36	w: 0
      a25	w: 0
      #a23	w: 0
      a16	w: 0
      a24	w: 0
      a45	w: 0
      a34	w: x1 + 1
      a26	w: 0
      a56	w: x1 + 23676
      a13	w: 0
      #a12	w: 0
      a15	w: 0
      a14	w: 0
      a23	w: 0
      a12	w: 0
      a35	w: 0
      #a34	w: x1
      a46	w: 0
    USABLE RULES: { 35 }
    Removed DPs: #1 #2
Number of SCCs: 2, DPs: 10
  SCC { #9..12 }
POLO(Sum)... succeeded.
      a36	w: 0
      a25	w: 0
      #a23	w: x1
      a16	w: 0
      a24	w: 0
      a45	w: x1 + 20538
      a34	w: x1 + 38551
      a26	w: 0
      a56	w: x1 + 31755
      a13	w: 0
      #a12	w: 0
      a15	w: 0
      a14	w: 0
      a23	w: x1 + 6135
      a12	w: 0
      a35	w: 0
      #a34	w: x1
      a46	w: 0
    USABLE RULES: { 33..35 }
    Removed DPs: #9..12
Number of SCCs: 1, DPs: 6
  SCC { #3 #4 #7 #8 #13 #14 }
POLO(Sum)... succeeded.
      a36	w: 0
      a25	w: 0
      #a23	w: x1
      a16	w: 0
      a24	w: 0
      a45	w: x1 + 9726
      a34	w: x1 + 33215
      a26	w: 0
      a56	w: x1 + 50537
      a13	w: 0
      #a12	w: x1
      a15	w: 0
      a14	w: 0
      a23	w: x1 + 28147
      a12	w: x1 + 50736
      a35	w: 0
      #a34	w: x1
      a46	w: 0
    USABLE RULES: { 30..35 }
    Removed DPs: #3 #4 #7 #8 #13 #14
Number of SCCs: 0, DPs: 0