/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: q0(a(x1)) -> x(q1(x1))
    2: q1(a(x1)) -> a(q1(x1))
    3: q1(y(x1)) -> y(q1(x1))
    4: a(q1(b(x1))) -> q2(a(y(x1)))
    5: a(q2(a(x1))) -> q2(a(a(x1)))
    6: a(q2(y(x1))) -> q2(a(y(x1)))
    7: y(q1(b(x1))) -> q2(y(y(x1)))
    8: y(q2(a(x1))) -> q2(y(a(x1)))
    9: y(q2(y(x1))) -> q2(y(y(x1)))
    10: q2(x(x1)) -> x(q0(x1))
    11: q0(y(x1)) -> y(q3(x1))
    12: q3(y(x1)) -> y(q3(x1))
    13: q3(bl(x1)) -> bl(q4(x1))
Number of strict rules: 13
Direct poly ... removes: 4 8 1 10 7 11 9
  a(x1)		w: (12457 + x1)
  b(x1)		w: (12621 + 2 * x1)
  q3(x1)		w: (x1)
  q4(x1)		w: (x1)
  y(x1)		w: (12618 + 2 * x1)
  x(x1)		w: (12457 + x1)
  q1(x1)		w: (x1)
  q2(x1)		w: (2 + x1)
  bl(x1)		w: (2 * x1)
  q0(x1)		w: (1 + x1)
Number of strict rules: 6
Direct poly ... removes: 12
  a(x1)		w: (1 + x1)
  b(x1)		w: (12619 + 2 * x1)
  q3(x1)		w: (2 * x1)
  q4(x1)		w: (x1)
  y(x1)		w: (12618 + 2 * x1)
  x(x1)		w: (1 + x1)
  q1(x1)		w: (x1)
  q2(x1)		w: (1 + x1)
  bl(x1)		w: (2 * x1)
  q0(x1)		w: (1 + x1)
Number of strict rules: 5
Direct poly ... removes: 13
  a(x1)		w: (1 + x1)
  b(x1)		w: (24646 + 2 * x1)
  q3(x1)		w: (29406 + 2 * x1)
  q4(x1)		w: (x1)
  y(x1)		w: (7579 + x1)
  x(x1)		w: (2 + x1)
  q1(x1)		w: (x1)
  q2(x1)		w: (17067 + x1)
  bl(x1)		w: (2 * x1)
  q0(x1)		w: (1 + x1)
Number of strict rules: 4
Direct poly ... removes: 3 2
  a(x1)		w: (1 + x1)
  b(x1)		w: (24338 + 2 * x1)
  q3(x1)		w: (44562 + 2 * x1)
  q4(x1)		w: (x1)
  y(x1)		w: (1 + x1)
  x(x1)		w: (2 + x1)
  q1(x1)		w: (2 * x1)
  q2(x1)		w: (48675 + x1)
  bl(x1)		w: (2 * x1)
  q0(x1)		w: (1 + x1)
Number of strict rules: 2
Direct poly ... removes: 5 6
  a(x1)		w: (43624 + 2 * x1)
  b(x1)		w: (1 + 2 * x1)
  q3(x1)		w: (44562 + 2 * x1)
  q4(x1)		w: (x1)
  y(x1)		w: (1 + x1)
  x(x1)		w: (11575 + 2 * x1)
  q1(x1)		w: (16025 + 2 * x1)
  q2(x1)		w: (2 + x1)
  bl(x1)		w: (2 * x1)
  q0(x1)		w: (1 + x1)
Number of strict rules: 0