/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(a(b(b(x1))))
    2: b(a(b(b(x1)))) -> b(b(b(b(x1))))
    3: a(b(b(a(x1)))) -> b(a(a(a(x1))))
    4: b(a(b(a(x1)))) -> a(a(a(a(x1))))
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(a(b(b(x1)))) -> #b(b(b(b(x1))))
   #2: #b(a(b(b(x1)))) -> #b(b(b(x1)))
   #3: #a(b(b(a(x1)))) -> #b(a(a(a(x1))))
   #4: #a(b(b(a(x1)))) -> #a(a(a(x1)))
   #5: #a(b(b(a(x1)))) -> #a(a(x1))
   #6: #b(b(a(b(x1)))) -> #b(a(b(b(x1))))
   #7: #b(b(a(b(x1)))) -> #a(b(b(x1)))
   #8: #b(b(a(b(x1)))) -> #b(b(x1))
   #9: #b(a(b(a(x1)))) -> #a(a(a(a(x1))))
   #10: #b(a(b(a(x1)))) -> #a(a(a(x1)))
   #11: #b(a(b(a(x1)))) -> #a(a(x1))
Number of SCCs: 1, DPs: 11
	SCC { #1..11 }
Sum... succeeded.
  a(x1)		w: (21239 + x1)
  b(x1)		w: (21239 + x1)
  #a(x1)		w: (x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..4 }
    Removed DPs: #2 #4 #5 #7 #8 #10 #11
Number of SCCs: 1, DPs: 4
	SCC { #1 #3 #6 #9 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_1, 2 + x1_1)
  b(x1)		w: (2 + x1_2, 1 + x1_2)
  #a(x1)		w: (1 + x1_1, x1_1 + x1_2)
  #b(x1)		w: (x1_2, 2 + x1_1 + x1_2)
    USABLE RULES: { 1..4 }
    Removed DPs: #1 #3 #9
Number of SCCs: 1, DPs: 1
	SCC { #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_1, 4 + x1_1)
  b(x1)		w: (1 + x1_2, 1 + x1_2)
  #a(x1)		w: (1 + x1_1, x1_1 + x1_2)
  #b(x1)		w: (20590 + x1_1, 30679 + x1_1)
    USABLE RULES: { 1..4 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0