/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(a(x1)))) -> a(a(a(b(x1))))
    2: b(b(b(a(x1)))) -> a(a(a(b(x1))))
    3: b(a(a(b(x1)))) -> b(b(b(a(x1))))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(b(b(a(x1)))) -> #a(a(a(b(x1))))
   #2: #b(b(b(a(x1)))) -> #a(a(b(x1)))
   #3: #b(b(b(a(x1)))) -> #a(b(x1))
   #4: #b(b(b(a(x1)))) -> #b(x1)
   #5: #b(a(a(b(x1)))) -> #b(b(b(a(x1))))
   #6: #b(a(a(b(x1)))) -> #b(b(a(x1)))
   #7: #b(a(a(b(x1)))) -> #b(a(x1))
   #8: #b(a(a(b(x1)))) -> #a(x1)
   #9: #a(a(b(a(x1)))) -> #a(a(a(b(x1))))
   #10: #a(a(b(a(x1)))) -> #a(a(b(x1)))
   #11: #a(a(b(a(x1)))) -> #a(b(x1))
   #12: #a(a(b(a(x1)))) -> #b(x1)
Number of SCCs: 1, DPs: 12
	SCC { #1..12 }
Sum... succeeded.
  a(x1)		w: (2438 + x1)
  b(x1)		w: (2438 + x1)
  #a(x1)		w: (x1)
  #b(x1)		w: (7313 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1..4 #6..8 #10..12
Number of SCCs: 2, DPs: 2
	SCC { #9 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  a(x1)	0[x1]	w: (8856 + x1)
  b(x1)	1[]	w: (8856 + x1)
  #a(x1)	0[x1]	w: (1 + x1)
  #b(x1)	0[]	w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #9
Number of SCCs: 1, DPs: 1
	SCC { #5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (max{0, 123521 + x1_1 + x1_2}, -185281)
  b(x1)		w: (max{0, -44851 + x1_2}, -16911)
  #a(x1)		w: (0, 0)
  #b(x1)		w: (max{0, -1 + x1_1}, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0