/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(x1)) -> b(b(b(x1)))
    2: a(x1) -> c(d(x1))
    3: b(b(x1)) -> c(c(c(x1)))
    4: c(c(x1)) -> d(d(d(x1)))
    5: e(d(x1)) -> a(b(c(d(e(x1)))))
    6: b(x1) -> d(d(x1))
    7: e(c(x1)) -> b(a(a(e(x1))))
    8: c(d(d(x1))) -> a(x1)
Number of strict rules: 8
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(x1) -> #c(d(x1))
   #2: #e(c(x1)) -> #b(a(a(e(x1))))
   #3: #e(c(x1)) -> #a(a(e(x1)))
   #4: #e(c(x1)) -> #a(e(x1))
   #5: #e(c(x1)) -> #e(x1)
   #6: #e(d(x1)) -> #a(b(c(d(e(x1)))))
   #7: #e(d(x1)) -> #b(c(d(e(x1))))
   #8: #e(d(x1)) -> #c(d(e(x1)))
   #9: #e(d(x1)) -> #e(x1)
   #10: #b(b(x1)) -> #c(c(c(x1)))
   #11: #b(b(x1)) -> #c(c(x1))
   #12: #b(b(x1)) -> #c(x1)
   #13: #a(a(x1)) -> #b(b(b(x1)))
   #14: #a(a(x1)) -> #b(b(x1))
   #15: #a(a(x1)) -> #b(x1)
   #16: #c(d(d(x1))) -> #a(x1)
Number of SCCs: 2, DPs: 10
	SCC { #5 #9 }
Sum... succeeded.
  a(x1)		w: (0)
  d(x1)		w: (1 + x1)
  b(x1)		w: (0)
  #e(x1)		w: (x1)
  c(x1)		w: (1 + x1)
  #c(x1)		w: (0)
  e(x1)		w: (0)
  #a(x1)		w: (0)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5 #9
Number of SCCs: 1, DPs: 8
	SCC { #1 #10..16 }
Sum... succeeded.
  a(x1)		w: (117152 + x1)
  d(x1)		w: (33472 + x1)
  b(x1)		w: (75312 + x1)
  #e(x1)		w: (0)
  c(x1)		w: (50208 + x1)
  #c(x1)		w: (x1)
  e(x1)		w: (0)
  #a(x1)		w: (66943 + x1)
  #b(x1)		w: (33470 + x1)
    USABLE RULES: { 1..4 6 8 }
    Removed DPs: #1 #10..16
Number of SCCs: 0, DPs: 0