/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(b(b(a(x1)))) -> b(a(a(b(x1))))
    2: a(b(b(b(x1)))) -> a(a(a(b(x1))))
    3: b(b(a(a(x1)))) -> b(b(b(a(x1))))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(b(b(b(x1)))) -> #a(a(a(b(x1))))
   #2: #a(b(b(b(x1)))) -> #a(a(b(x1)))
   #3: #a(b(b(b(x1)))) -> #a(b(x1))
   #4: #b(b(a(a(x1)))) -> #b(b(b(a(x1))))
   #5: #b(b(a(a(x1)))) -> #b(b(a(x1)))
   #6: #b(b(a(a(x1)))) -> #b(a(x1))
   #7: #a(b(b(a(x1)))) -> #b(a(a(b(x1))))
   #8: #a(b(b(a(x1)))) -> #a(a(b(x1)))
   #9: #a(b(b(a(x1)))) -> #a(b(x1))
   #10: #a(b(b(a(x1)))) -> #b(x1)
Number of SCCs: 2, DPs: 8
	SCC { #4..6 }
Sum... succeeded.
  a(x1)		w: (39 + x1)
  b(x1)		w: (39 + x1)
  #a(x1)		w: (0)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #5 #6
Number of SCCs: 2, DPs: 6
	SCC { #4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  a(x1)	1[]	w: (21239 + x1)
  b(x1)	0[x1]	w: (21239 + x1)
  #a(x1)	0[]	w: (1)
  #b(x1)	0[x1]	w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 5
	SCC { #1..3 #8 #9 }
Sum... succeeded.
  a(x1)		w: (16 + x1)
  b(x1)		w: (16 + x1)
  #a(x1)		w: (8 + x1)
  #b(x1)		w: (39)
    USABLE RULES: { 1..3 }
    Removed DPs: #2 #3 #8 #9
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (x1_2, 0)
  b(x1)		w: (1, x1_1)
  #a(x1)		w: (13777 + x1_1, 13355)
  #b(x1)		w: (0, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0