/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: a(a(b(b(x1)))) -> b(b(c(c(a(a(x1))))))
    2: b(b(c(c(x1)))) -> c(c(b(b(b(b(x1))))))
    3: b(b(a(a(x1)))) -> a(a(c(c(b(b(x1))))))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(b(c(c(x1)))) -> #b(b(b(b(x1))))
   #2: #b(b(c(c(x1)))) -> #b(b(b(x1)))
   #3: #b(b(c(c(x1)))) -> #b(b(x1))
   #4: #b(b(c(c(x1)))) -> #b(x1)
   #5: #b(b(a(a(x1)))) -> #a(a(c(c(b(b(x1))))))
   #6: #b(b(a(a(x1)))) -> #a(c(c(b(b(x1)))))
   #7: #b(b(a(a(x1)))) -> #b(b(x1))
   #8: #b(b(a(a(x1)))) -> #b(x1)
   #9: #a(a(b(b(x1)))) -> #b(b(c(c(a(a(x1))))))
   #10: #a(a(b(b(x1)))) -> #b(c(c(a(a(x1)))))
   #11: #a(a(b(b(x1)))) -> #a(a(x1))
   #12: #a(a(b(b(x1)))) -> #a(x1)
Number of SCCs: 2, DPs: 8
	SCC { #11 #12 }
Sum... succeeded.
  a(x1)		w: (7720 + x1)
  b(x1)		w: (1 + x1)
  c(x1)		w: (1)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { 1..3 }
    Removed DPs: #11 #12
Number of SCCs: 1, DPs: 6
	SCC { #1..4 #7 #8 }
Sum... succeeded.
  a(x1)		w: (2438 + x1)
  b(x1)		w: (x1)
  c(x1)		w: (x1)
  #a(x1)		w: (x1)
  #b(x1)		w: (20652 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #7 #8
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_2, 26206 + x1_2)
  b(x1)		w: (x1_1, 6169 + x1_2)
  c(x1)		w: (1 + x1_1, 0)
  #a(x1)		w: (0, 0)
  #b(x1)		w: (24816 + x1_1, 26556)
    USABLE RULES: { 1..3 }
    Removed DPs: #1..4
Number of SCCs: 0, DPs: 0