/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: b(a(b(b(a(b(a(x1))))))) -> a(b(a(a(b(b(a(b(b(a(x1))))))))))
Number of strict rules: 1
Direct poly ... failed.
Freezing b
1: b❆1_a(b(b❆1_a(b❆1_a(x1)))) -> a(b❆1_a(a(b(b❆1_a(b(b❆1_a(x1)))))))
2: b(a(_1)) ->= b❆1_a(_1)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #b(a(_1)) ->? #b❆1_a(_1)
   #2: #b❆1_a(b(b❆1_a(b❆1_a(x1)))) -> #b❆1_a(a(b(b❆1_a(b(b❆1_a(x1))))))
   #3: #b❆1_a(b(b❆1_a(b❆1_a(x1)))) -> #b(b❆1_a(b(b❆1_a(x1))))
   #4: #b❆1_a(b(b❆1_a(b❆1_a(x1)))) -> #b❆1_a(b(b❆1_a(x1)))
   #5: #b❆1_a(b(b❆1_a(b❆1_a(x1)))) -> #b(b❆1_a(x1))
Number of SCCs: 1, DPs: 4
	SCC { #1 #3..5 }
Sum... succeeded.
  a(x1)		w: (x1)
  b(x1)		w: (5856)
  b❆1_a(x1)		w: (5854)
  #b❆1_a(x1)		w: (5 + x1)
  #b(x1)		w: (6 + x1)
    USABLE RULES: { 1 2 }
    Removed DPs: #1 #3 #5
Number of SCCs: 1, DPs: 1
	SCC { #4 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1)		w: (max{0, -21240 + x1})
  b(x1)		w: (max{0, 42480 + x1})
  b❆1_a(x1)		w: (max{0, 1 + x1})
  #b❆1_a(x1)		w: (max{0, -33624 + x1})
  #b(x1)		w: (0)
    USABLE RULES: { 1 2 }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0