/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: a(a(b(x1))) -> b(b(a(a(x1))))
    2: b(a(x1)) -> a(c(b(x1)))
Number of strict rules: 2
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(a(x1)) -> #a(c(b(x1)))
   #2: #b(a(x1)) -> #b(x1)
   #3: #a(a(b(x1))) -> #b(b(a(a(x1))))
   #4: #a(a(b(x1))) -> #b(a(a(x1)))
   #5: #a(a(b(x1))) -> #a(a(x1))
   #6: #a(a(b(x1))) -> #a(x1)
Number of SCCs: 2, DPs: 3
	SCC { #2 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  b(x1)		w: (0)
  c(x1)		w: (0)
  #a(x1)		w: (0)
  #b(x1)		w: (x1)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2
	SCC { #5 #6 }
Sum... succeeded.
  a(x1)		w: (39 + x1)
  b(x1)		w: (x1)
  c(x1)		w: (0)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { 1 2 }
    Removed DPs: #6
Number of SCCs: 1, DPs: 1
	SCC { #5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_2, 14681 + x1_1 + x1_2)
  b(x1)		w: (1 + x1_1, 20978 + x1_2)
  c(x1)		w: (20977, 1)
  #a(x1)		w: (x1_2, x1_2)
  #b(x1)		w: (0, 0)
    USABLE RULES: { 1 2 }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0