/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: a(b(b(x1))) -> b(a(a(a(x1))))
    2: a(a(b(x1))) -> b(a(b(x1)))
Number of strict rules: 2
Direct poly ... failed.
Freezing a
1: a❆1_b(b(x1)) -> b(a(a(a(x1))))
2: a(a❆1_b(x1)) -> b(a❆1_b(x1))
3: a(b(_1)) ->= a❆1_b(_1)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #a(b(_1)) ->? #a❆1_b(_1)
   #2: #a❆1_b(b(x1)) -> #a(a(a(x1)))
   #3: #a❆1_b(b(x1)) -> #a(a(x1))
   #4: #a❆1_b(b(x1)) -> #a(x1)
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (2 + x1_2, x1_2)
  b(x1)		w: (2 + x1_2, 3 + x1_1)
  a❆1_b(x1)		w: (x1_1, 3 + x1_1)
  #a(x1)		w: (12618 + x1_2, 23611)
  #a❆1_b(x1)		w: (12617 + x1_1, 23611)
    USABLE RULES: { 1..3 }
    Removed DPs: #1..4
Number of SCCs: 0, DPs: 0