/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(s(s(x1)))) -> s(s(a(a(x1))))
    2: b(b(a(a(b(b(s(s(x1)))))))) -> a(a(b(b(s(s(a(a(x1))))))))
    3: b(b(a(a(b(b(b(b(x1)))))))) -> a(a(b(b(a(a(b(b(x1))))))))
    4: a(a(b(b(a(a(a(a(x1)))))))) -> b(b(a(a(b(b(a(a(x1))))))))
Number of strict rules: 4
Direct poly ... removes: 1 2
  a(x1)		w: (7630 + 2 * x1)
  s(x1)		w: (1 + x1)
  b(x1)		w: (7630 + 2 * x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(a(b(b(a(a(b(b(x1))))))))
   #2: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(b(b(a(a(b(b(x1)))))))
   #3: #b(b(a(a(b(b(b(b(x1)))))))) -> #b(b(a(a(b(b(x1))))))
   #4: #b(b(a(a(b(b(b(b(x1)))))))) -> #b(a(a(b(b(x1)))))
   #5: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(a(b(b(x1))))
   #6: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(b(b(x1)))
   #7: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(b(a(a(b(b(a(a(x1))))))))
   #8: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(a(a(b(b(a(a(x1)))))))
   #9: #a(a(b(b(a(a(a(a(x1)))))))) -> #a(a(b(b(a(a(x1))))))
   #10: #a(a(b(b(a(a(a(a(x1)))))))) -> #a(b(b(a(a(x1)))))
   #11: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(b(a(a(x1))))
   #12: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(a(a(x1)))
Number of SCCs: 1, DPs: 12
	SCC { #1..12 }
Sum... succeeded.
  a(x1)		w: (10451 + x1)
  s(x1)		w: (0)
  b(x1)		w: (10451 + x1)
  #a(x1)		w: (x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 3 4 }
    Removed DPs: #2..6 #8..12
Number of SCCs: 1, DPs: 2
	SCC { #1 #7 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_2, 2 + x1_2)
  s(x1)		w: (0, 0)
  b(x1)		w: (2 + x1_1, 1 + x1_1)
  #a(x1)		w: (27538 + x1_1, 1 + x1_1)
  #b(x1)		w: (27537 + x1_1, x1_2)
    USABLE RULES: { 3 4 }
    Removed DPs: #1 #7
Number of SCCs: 0, DPs: 0