/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(b(a(x1)))) -> a(b(a(b(x1))))
    2: a(a(b(a(x1)))) -> a(b(b(a(x1))))
    3: a(a(b(b(x1)))) -> b(b(a(a(x1))))
Number of strict rules: 3
Direct poly ... removes: 2
  a(x1)		w: (11798 + 2 * x1)
  b(x1)		w: (x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(a(b(b(x1)))) -> #a(a(x1))
   #2: #a(a(b(b(x1)))) -> #a(x1)
   #3: #a(b(b(a(x1)))) -> #a(b(a(b(x1))))
   #4: #a(b(b(a(x1)))) -> #a(b(x1))
Number of SCCs: 2, DPs: 4
	SCC { #1 #2 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  b(x1)		w: (1 + x1)
  #a(x1)		w: (x1)
    USABLE RULES: { 1 3 }
    Removed DPs: #1 #2
Number of SCCs: 1, DPs: 2
	SCC { #3 #4 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  b(x1)		w: (1 + x1)
  #a(x1)		w: (x1)
    USABLE RULES: { 1 3 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1
	SCC { #3 }
Sum... Max... succeeded.
  a(x1)		w: (1)
  b(x1)		w: (1 + x1)
  #a(x1)		w: (x1)
    USABLE RULES: { 1 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0