/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: b(a(a(a(b(a(a(x1))))))) -> a(a(a(b(b(a(a(a(b(x1)))))))))
Number of strict rules: 1
Direct poly ... failed.
Freezing b❆1_a b
1: b❆1_a❆1_a(a(b❆1_a❆1_a(x1))) -> a(a(a(b(b❆1_a❆1_a(a(b(x1)))))))
2: b(a(_1)) ->= b❆1_a(_1)
3: b❆1_a(a(_1)) ->= b❆1_a❆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(a(_1)) ->? #b❆1_a❆1_a(_1)
   #3: #b❆1_a❆1_a(a(b❆1_a❆1_a(x1))) -> #b(b❆1_a❆1_a(a(b(x1))))
   #4: #b❆1_a❆1_a(a(b❆1_a❆1_a(x1))) -> #b❆1_a❆1_a(a(b(x1)))
   #5: #b❆1_a❆1_a(a(b❆1_a❆1_a(x1))) -> #b(x1)
Number of SCCs: 1, DPs: 5
	SCC { #1..5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (50680 + x1_2, x1_1)
  b(x1)		w: (x1_2, x1_2)
  #b❆1_a❆1_a(x1)		w: (50678 + x1_2, 5600 + x1_2)
  b❆1_a(x1)		w: (x1_1, x1_1)
  #b❆1_a(x1)		w: (x1_1, x1_1)
  b❆1_a❆1_a(x1)		w: (50680 + x1_2, x1_2)
  #b(x1)		w: (38142 + x1_2, x1_2)
    USABLE RULES: { 1..3 }
    Removed DPs: #1..5
Number of SCCs: 0, DPs: 0