/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(x1) -> b(x1)
    2: a(a(x1)) -> a(b(a(x1)))
    3: a(b(x1)) -> b(b(b(x1)))
    4: a(a(a(x1))) -> a(a(b(a(a(x1)))))
    5: a(a(b(x1))) -> a(b(b(a(b(x1)))))
    6: a(b(a(x1))) -> b(a(b(b(a(x1)))))
    7: a(b(b(x1))) -> b(b(b(b(b(x1)))))
    8: b(a(x1)) -> b(b(b(x1)))
    9: a(b(a(x1))) -> a(b(b(a(b(x1)))))
    10: b(a(a(x1))) -> b(a(b(b(a(x1)))))
    11: b(b(a(x1))) -> b(b(b(b(b(x1)))))
Number of strict rules: 11
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(a(x1)) -> #a(b(a(x1)))
   #2: #a(a(x1)) -> #b(a(x1))
   #3: #a(b(a(x1))) -> #b(a(b(b(a(x1)))))
   #4: #a(b(a(x1))) -> #a(b(b(a(x1))))
   #5: #a(b(a(x1))) -> #b(b(a(x1)))
   #6: #a(b(a(x1))) -> #a(b(b(a(b(x1)))))
   #7: #a(b(a(x1))) -> #b(b(a(b(x1))))
   #8: #a(b(a(x1))) -> #b(a(b(x1)))
   #9: #a(b(a(x1))) -> #a(b(x1))
   #10: #a(b(a(x1))) -> #b(x1)
   #11: #b(b(a(x1))) -> #b(b(b(b(b(x1)))))
   #12: #b(b(a(x1))) -> #b(b(b(b(x1))))
   #13: #b(b(a(x1))) -> #b(b(b(x1)))
   #14: #b(b(a(x1))) -> #b(b(x1))
   #15: #b(b(a(x1))) -> #b(x1)
   #16: #a(b(b(x1))) -> #b(b(b(b(b(x1)))))
   #17: #a(b(b(x1))) -> #b(b(b(b(x1))))
   #18: #a(b(b(x1))) -> #b(b(b(x1)))
   #19: #b(a(a(x1))) -> #b(a(b(b(a(x1)))))
   #20: #b(a(a(x1))) -> #a(b(b(a(x1))))
   #21: #b(a(a(x1))) -> #b(b(a(x1)))
   #22: #b(a(a(x1))) -> #b(a(x1))
   #23: #a(a(b(x1))) -> #a(b(b(a(b(x1)))))
   #24: #a(a(b(x1))) -> #b(b(a(b(x1))))
   #25: #a(a(b(x1))) -> #b(a(b(x1)))
   #26: #a(b(x1)) -> #b(b(b(x1)))
   #27: #a(b(x1)) -> #b(b(x1))
   #28: #a(x1) -> #b(x1)
   #29: #b(a(x1)) -> #b(b(b(x1)))
   #30: #b(a(x1)) -> #b(b(x1))
   #31: #b(a(x1)) -> #b(x1)
   #32: #a(a(a(x1))) -> #a(a(b(a(a(x1)))))
   #33: #a(a(a(x1))) -> #a(b(a(a(x1))))
   #34: #a(a(a(x1))) -> #b(a(a(x1)))
Number of SCCs: 2, DPs: 27
	SCC { #32 }
Sum... succeeded.
  a(x1)		w: (2439 + x1)
  b(x1)		w: (1)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { 1..11 }
    Removed DPs: #32
Number of SCCs: 1, DPs: 26
	SCC { #3..22 #26..31 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1)		w: (max{0, 41 + x1})
  b(x1)		w: (max{0, -41 + x1})
  #a(x1)		w: (max{0, 81 + x1})
  #b(x1)		w: (max{0, 1 + x1})
    USABLE RULES: { 1..11 }
    Removed DPs: #3 #5 #7 #8 #10 #16..22 #26..31
Number of SCCs: 2, DPs: 8
	SCC { #4 #6 #9 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (26159 + x1_1, 1 + x1_1 + x1_2)
  b(x1)		w: (0, x1_2)
  #a(x1)		w: (12490 + x1_2, 30859)
  #b(x1)		w: (0, 0)
    USABLE RULES: { 1..11 }
    Removed DPs: #9
Number of SCCs: 2, DPs: 7
	SCC { #4 #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (10910 + x1_2, 27324)
  b(x1)		w: (1 + x1_2, 16415)
  #a(x1)		w: (416 + x1_1, 2368 + x1_1)
  #b(x1)		w: (0, 0)
    USABLE RULES: { 1..11 }
    Removed DPs: #4 #6
Number of SCCs: 1, DPs: 5
	SCC { #11..15 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_1 + x1_2, 2913 + x1_2)
  b(x1)		w: (x1_1, 0)
  #a(x1)		w: (416, 2368)
  #b(x1)		w: (48307 + x1_1, x1_1)
    USABLE RULES: { 1..11 }
    Removed DPs: #11..15
Number of SCCs: 0, DPs: 0