/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: a(b(a(a(x1)))) -> a(b(b(a(x1))))
    2: a(b(a(b(x1)))) -> a(b(b(a(x1))))
    3: b(b(a(a(x1)))) -> a(b(a(a(x1))))
    4: b(b(b(b(x1)))) -> a(a(a(a(x1))))
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(b(a(b(x1)))) -> #a(b(b(a(x1))))
   #2: #a(b(a(b(x1)))) -> #b(b(a(x1)))
   #3: #a(b(a(b(x1)))) -> #b(a(x1))
   #4: #a(b(a(b(x1)))) -> #a(x1)
   #5: #b(b(a(a(x1)))) -> #a(b(a(a(x1))))
   #6: #a(b(a(a(x1)))) -> #a(b(b(a(x1))))
   #7: #a(b(a(a(x1)))) -> #b(b(a(x1)))
   #8: #a(b(a(a(x1)))) -> #b(a(x1))
   #9: #b(b(b(b(x1)))) -> #a(a(a(a(x1))))
   #10: #b(b(b(b(x1)))) -> #a(a(a(x1)))
   #11: #b(b(b(b(x1)))) -> #a(a(x1))
   #12: #b(b(b(b(x1)))) -> #a(x1)
Number of SCCs: 2, DPs: 3
	SCC { #4 }
Sum... succeeded.
  a(x1)		w: (x1)
  b(x1)		w: (1 + x1)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 2
	SCC { #5 #7 }
Sum... succeeded.
  a(x1)		w: (1144 + x1)
  b(x1)		w: (1144 + x1)
  #a(x1)		w: (x1)
  #b(x1)		w: (1143 + x1)
    USABLE RULES: { 1..4 }
    Removed DPs: #5 #7
Number of SCCs: 0, DPs: 0