/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(b(a(a(x1)))) -> a(b(b(b(x1))))
    2: b(b(a(a(x1)))) -> a(b(a(b(x1))))
    3: b(a(a(b(x1)))) -> b(a(b(a(x1))))
Number of strict rules: 3
Direct poly ... removes: 1
  a(x1)		w: (8367 + x1)
  b(x1)		w: (1 + x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(b(a(a(x1)))) -> #b(a(b(x1)))
   #2: #b(b(a(a(x1)))) -> #b(x1)
   #3: #b(a(a(b(x1)))) -> #b(a(b(a(x1))))
   #4: #b(a(a(b(x1)))) -> #b(a(x1))
Number of SCCs: 2, DPs: 3
	SCC { #2 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  b(x1)		w: (x1)
  #b(x1)		w: (x1)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2
	SCC { #3 #4 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  b(x1)		w: (x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 3 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1
	SCC { #3 }
Sum... succeeded.
  a(x1)		w: (2 + x1)
  b(x1)		w: (1)
  #b(x1)		w: (x1)
    USABLE RULES: { 3 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0