/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(b(x1)))) -> b(a(b(a(x1))))
    2: a(a(a(a(x1)))) -> a(b(b(a(x1))))
    3: b(b(a(b(x1)))) -> a(a(b(a(x1))))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(a(a(a(x1)))) -> #a(b(b(a(x1))))
   #2: #a(a(a(a(x1)))) -> #b(b(a(x1)))
   #3: #a(a(a(a(x1)))) -> #b(a(x1))
   #4: #b(b(a(b(x1)))) -> #a(a(b(a(x1))))
   #5: #b(b(a(b(x1)))) -> #a(b(a(x1)))
   #6: #b(b(a(b(x1)))) -> #b(a(x1))
   #7: #b(b(a(b(x1)))) -> #a(x1)
   #8: #b(a(a(b(x1)))) -> #b(a(b(a(x1))))
   #9: #b(a(a(b(x1)))) -> #a(b(a(x1)))
   #10: #b(a(a(b(x1)))) -> #b(a(x1))
   #11: #b(a(a(b(x1)))) -> #a(x1)
Number of SCCs: 1, DPs: 11
	SCC { #1..11 }
Sum... succeeded.
  a(x1)		w: (40 + x1)
  b(x1)		w: (40 + x1)
  #a(x1)		w: (x1)
  #b(x1)		w: (1 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #2..7 #9..11
Number of SCCs: 2, DPs: 2
	SCC { #8 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (19504 + x1_1, 1)
  b(x1)		w: (9076 + x1_2, 39009)
  #a(x1)		w: (0, 0)
  #b(x1)		w: (38 + x1_1, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #8
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (3 + x1_1, 1)
  b(x1)		w: (1 + x1_2, 7)
  #a(x1)		w: (28965 + x1_1, 0)
  #b(x1)		w: (38, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0