/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(s(x1)) -> s(a(x1))
    2: b(a(b(s(x1)))) -> a(b(s(a(x1))))
    3: b(a(b(b(x1)))) -> a(b(a(b(x1))))
    4: a(b(a(a(x1)))) -> b(a(b(a(x1))))
Number of strict rules: 4
Direct poly ... removes: 1 2
  a(x1)		w: (32286 + 2 * x1)
  s(x1)		w: (32287 + 2 * x1)
  b(x1)		w: (32286 + 2 * x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(a(b(b(x1)))) -> #a(b(a(b(x1))))
   #2: #b(a(b(b(x1)))) -> #b(a(b(x1)))
   #3: #b(a(b(b(x1)))) -> #a(b(x1))
   #4: #a(b(a(a(x1)))) -> #b(a(b(a(x1))))
   #5: #a(b(a(a(x1)))) -> #a(b(a(x1)))
   #6: #a(b(a(a(x1)))) -> #b(a(x1))
Number of SCCs: 1, DPs: 6
	SCC { #1..6 }
Sum... succeeded.
  a(x1)		w: (8856 + x1)
  s(x1)		w: (0)
  b(x1)		w: (8856 + x1)
  #a(x1)		w: (1 + x1)
  #b(x1)		w: (1 + x1)
    USABLE RULES: { 3 4 }
    Removed DPs: #2 #3 #5 #6
Number of SCCs: 1, DPs: 2
	SCC { #1 #4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_2, 2 + x1_2)
  s(x1)		w: (0, 0)
  b(x1)		w: (2 + x1_1, 1 + x1_1)
  #a(x1)		w: (15942 + x1_2, 27380 + x1_1 + x1_2)
  #b(x1)		w: (15942 + x1_1, 27380 + x1_1 + x1_2)
    USABLE RULES: { 3 4 }
    Removed DPs: #1 #4
Number of SCCs: 0, DPs: 0