/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: 0(0(1(2(1(x1))))) -> 1(0(1(1(0(x1)))))
    2: 0(3(1(2(4(x1))))) -> 0(5(1(4(x1))))
    3: 4(3(0(1(1(x1))))) -> 5(4(5(2(x1))))
    4: 4(3(4(2(2(x1))))) -> 0(5(0(2(x1))))
    5: 2(1(1(4(0(2(x1)))))) -> 1(1(5(3(5(x1)))))
    6: 2(2(4(1(3(4(2(x1))))))) -> 2(3(2(4(3(5(x1))))))
    7: 4(0(5(4(2(4(0(x1))))))) -> 0(1(2(2(2(2(0(x1)))))))
    8: 4(2(4(2(5(1(0(1(5(x1))))))))) -> 5(0(3(1(0(2(2(5(x1))))))))
    9: 5(2(4(5(0(3(0(2(3(x1))))))))) -> 5(3(2(1(0(1(3(4(0(x1)))))))))
    10: 1(4(1(3(2(3(3(1(2(1(x1)))))))))) -> 1(5(3(2(4(5(1(3(4(x1)))))))))
    11: 4(0(4(2(3(4(5(1(1(5(1(x1))))))))))) -> 5(4(3(2(2(3(2(1(2(4(0(x1)))))))))))
    12: 4(5(2(2(5(4(4(3(4(5(4(x1))))))))))) -> 5(2(3(2(5(0(0(0(5(4(x1))))))))))
    13: 4(3(4(4(0(3(0(3(2(3(2(1(x1)))))))))))) -> 5(5(5(5(5(0(2(2(4(4(2(0(x1))))))))))))
    14: 5(3(4(4(3(3(5(2(5(2(1(1(4(2(x1)))))))))))))) -> 5(4(0(5(2(5(5(3(1(0(3(3(5(x1)))))))))))))
    15: 0(5(1(0(3(3(2(5(5(4(0(5(5(5(2(x1))))))))))))))) -> 1(0(1(3(4(5(3(3(3(2(2(3(3(5(2(x1)))))))))))))))
    16: 4(5(3(2(1(1(5(2(2(3(4(3(2(3(1(x1))))))))))))))) -> 0(1(3(5(0(1(3(4(0(3(5(4(3(1(x1))))))))))))))
    17: 5(0(1(0(1(1(5(1(1(5(5(2(1(1(0(x1))))))))))))))) -> 5(1(5(1(1(1(3(0(3(3(3(3(1(0(x1))))))))))))))
    18: 5(3(0(4(4(1(1(5(3(4(1(1(2(3(2(x1))))))))))))))) -> 5(4(1(4(0(2(1(2(2(5(3(5(3(4(4(x1)))))))))))))))
    19: 2(4(1(0(2(3(2(3(5(3(1(2(3(1(1(4(x1)))))))))))))))) -> 2(2(2(1(4(5(0(1(0(3(1(3(5(1(2(x1)))))))))))))))
    20: 0(1(1(3(2(2(0(0(0(5(0(2(4(3(3(0(1(x1))))))))))))))))) -> 5(4(1(1(0(5(2(0(2(3(3(3(0(5(0(1(x1))))))))))))))))
    21: 2(1(1(5(3(1(3(4(3(5(3(3(2(4(3(1(4(x1))))))))))))))))) -> 1(0(1(0(0(2(1(3(2(2(0(3(0(5(2(4(x1))))))))))))))))
    22: 2(4(3(5(0(2(5(5(1(5(0(4(4(4(1(4(3(x1))))))))))))))))) -> 2(0(5(2(2(0(5(4(1(3(2(4(1(4(1(1(0(x1)))))))))))))))))
    23: 0(4(5(4(5(0(2(3(1(2(4(5(3(5(0(4(3(3(2(x1))))))))))))))))))) -> 1(0(2(4(5(5(2(2(4(2(1(1(4(0(1(2(3(0(2(5(x1))))))))))))))))))))
    24: 4(5(1(0(2(0(5(4(5(4(4(2(5(5(2(3(5(4(2(3(x1)))))))))))))))))))) -> 0(5(5(2(0(5(2(4(2(5(2(5(2(0(1(5(2(3(3(0(x1))))))))))))))))))))
    25: 3(1(2(4(3(4(3(2(0(3(2(3(4(3(4(5(4(3(4(1(1(x1))))))))))))))))))))) -> 3(4(0(0(2(4(5(0(0(4(3(5(4(3(0(3(2(2(1(1(x1))))))))))))))))))))
Number of strict rules: 25
Direct poly ... removes: 4 8 3 16 21 19 17 22 5 10 7 20 25 14 12 23 9 13 6 2
  1(x1)		w: (7 + x1)
  4(x1)		w: (8 + x1)
  5(x1)		w: (8 + x1)
  3(x1)		w: (9 + x1)
  0(x1)		w: (9 + x1)
  2(x1)		w: (7 + x1)
Number of strict rules: 5
Direct poly ... removes: 18 15 1 24 11
  1(x1)		w: (1 + 2 * x1)
  4(x1)		w: (1 + 2 * x1)
  5(x1)		w: (12 + x1)
  3(x1)		w: (8 + x1)
  0(x1)		w: (1 + 2 * x1)
  2(x1)		w: (11 + 2 * x1)
Number of strict rules: 0