/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: b(b(a(b(x1)))) -> b(b(b(a(x1))))
    2: b(b(a(a(x1)))) -> a(a(b(b(x1))))
    3: b(a(a(a(x1)))) -> b(b(b(a(x1))))
Number of strict rules: 3
Direct poly ... removes: 3
  a(x1)		w: (21240 + x1)
  b(x1)		w: (21239 + x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(b(a(a(x1)))) -> #b(b(x1))
   #2: #b(b(a(a(x1)))) -> #b(x1)
   #3: #b(b(a(b(x1)))) -> #b(b(b(a(x1))))
   #4: #b(b(a(b(x1)))) -> #b(b(a(x1)))
   #5: #b(b(a(b(x1)))) -> #b(a(x1))
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... succeeded.
  a(x1)		w: (7720 + x1)
  b(x1)		w: (1 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1 2 }
    Removed DPs: #1 #2 #4
Number of SCCs: 1, DPs: 1
	SCC { #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (2, 1 + x1_1)
  b(x1)		w: (4 + x1_2, 3)
  #b(x1)		w: (26954 + x1_1, 20054 + x1_1)
    USABLE RULES: { 1 2 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0