/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(a(a(b(x1)))) -> a(b(b(b(x1))))
    2: a(a(b(b(x1)))) -> a(b(b(a(x1))))
    3: a(b(a(b(x1)))) -> a(a(b(a(x1))))
Number of strict rules: 3
Direct poly ... failed.
Freezing a
1: a(a(a❆1_b(x1))) -> a❆1_b(b(b(x1)))
2: a(a❆1_b(b(x1))) -> a❆1_b(b(a(x1)))
3: a❆1_b(a❆1_b(x1)) -> a(a❆1_b(a(x1)))
4: a(b(_1)) ->= a❆1_b(_1)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #a(a❆1_b(b(x1))) -> #a❆1_b(b(a(x1)))
   #2: #a(a❆1_b(b(x1))) -> #a(x1)
   #3: #a❆1_b(a❆1_b(x1)) -> #a(a❆1_b(a(x1)))
   #4: #a❆1_b(a❆1_b(x1)) -> #a❆1_b(a(x1))
   #5: #a❆1_b(a❆1_b(x1)) -> #a(x1)
   #6: #a(a(a❆1_b(x1))) -> #a❆1_b(b(b(x1)))
   #7: #a(b(_1)) ->? #a❆1_b(_1)
Number of SCCs: 1, DPs: 5
	SCC { #2..5 #7 }
Sum... succeeded.
  a(x1)		w: (39 + x1)
  b(x1)		w: (39 + x1)
  a❆1_b(x1)		w: (78 + x1)
  #a(x1)		w: (x1)
  #a❆1_b(x1)		w: (39 + x1)
    USABLE RULES: { 1..4 }
    Removed DPs: #2 #4 #5
Number of SCCs: 0, DPs: 0