/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(x1)) -> b(a(b(a(a(b(x1))))))
    2: b(b(a(b(x1)))) -> b(a(b(b(x1))))
    3: b(a(a(a(b(a(a(b(x1)))))))) -> b(a(a(a(b(b(x1))))))
    4: b(b(a(a(b(x1))))) -> b(a(a(b(b(x1)))))
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(b(a(b(x1)))) -> #b(a(b(b(x1))))
   #2: #b(b(a(b(x1)))) -> #b(b(x1))
   #3: #b(a(a(a(b(a(a(b(x1)))))))) -> #b(a(a(a(b(b(x1))))))
   #4: #b(a(a(a(b(a(a(b(x1)))))))) -> #b(b(x1))
   #5: #b(b(x1)) -> #b(a(b(a(a(b(x1))))))
   #6: #b(b(x1)) -> #b(a(a(b(x1))))
   #7: #b(b(a(a(b(x1))))) -> #b(a(a(b(b(x1)))))
   #8: #b(b(a(a(b(x1))))) -> #b(b(x1))
Number of SCCs: 2, DPs: 3
	SCC { #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (x1_2, 11967 + x1_1)
  b(x1)		w: (2247 + x1_1, 2246)
  #b(x1)		w: (x1_2, 27224)
    USABLE RULES: { 1..4 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
	SCC { #2 #8 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (x1_2, 53681 + x1_2)
  b(x1)		w: (53681 + x1_1, x1_1)
  #b(x1)		w: (x1_1, 27224 + x1_2)
    USABLE RULES: { 1..4 }
    Removed DPs: #8
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (x1_2, 24972)
  b(x1)		w: (39659 + x1_1, 1 + x1_1)
  #b(x1)		w: (29724 + x1_1, 27224)
    USABLE RULES: { 1..4 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0