/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)) -> a(b(a(b(a(x1)))))
    2: c(a(x1)) -> a(b(a(a(c(x1)))))
    3: b(b(b(x1))) -> a(b(x1))
    4: c(b(x1)) -> a(a(c(x1)))
    5: c(b(x1)) -> b(a(d(x1)))
    6: d(d(x1)) -> d(b(d(b(d(x1)))))
    7: c(c(x1)) -> c(d(c(x1)))
    8: a(a(a(x1))) -> a(b(b(x1)))
Number of strict rules: 8
Direct poly ... removes: 5
  a(x1)		w: (x1)
  d(x1)		w: (x1)
  b(x1)		w: (x1)
  c(x1)		w: (20538 + 2 * x1)
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(a(x1)) -> #a(b(a(a(c(x1)))))
   #2: #c(a(x1)) -> #b(a(a(c(x1))))
   #3: #c(a(x1)) -> #a(a(c(x1)))
   #4: #c(a(x1)) -> #a(c(x1))
   #5: #c(a(x1)) -> #c(x1)
   #6: #d(d(x1)) -> #d(b(d(b(d(x1)))))
   #7: #d(d(x1)) -> #b(d(b(d(x1))))
   #8: #d(d(x1)) -> #d(b(d(x1)))
   #9: #d(d(x1)) -> #b(d(x1))
   #10: #c(c(x1)) -> #c(d(c(x1)))
   #11: #c(c(x1)) -> #d(c(x1))
   #12: #b(b(b(x1))) -> #a(b(x1))
   #13: #a(a(x1)) -> #a(b(a(b(a(x1)))))
   #14: #a(a(x1)) -> #b(a(b(a(x1))))
   #15: #a(a(x1)) -> #a(b(a(x1)))
   #16: #a(a(x1)) -> #b(a(x1))
   #17: #a(a(a(x1))) -> #a(b(b(x1)))
   #18: #a(a(a(x1))) -> #b(b(x1))
   #19: #a(a(a(x1))) -> #b(x1)
   #20: #c(b(x1)) -> #a(a(c(x1)))
   #21: #c(b(x1)) -> #a(c(x1))
   #22: #c(b(x1)) -> #c(x1)
Number of SCCs: 2, DPs: 6
	SCC { #5 #22 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  d(x1)		w: (0)
  b(x1)		w: (1 + x1)
  c(x1)		w: (0)
  #d(x1)		w: (0)
  #c(x1)		w: (x1)
  #a(x1)		w: (0)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5 #22
Number of SCCs: 1, DPs: 4
	SCC { #12 #17..19 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (max{0, 41172 + x1_1}, -41174)
  d(x1)		w: (0, 0)
  b(x1)		w: (max{0, 20587 + x1_1 + x1_2}, -1)
  c(x1)		w: (0, 0)
  #d(x1)		w: (0, 0)
  #c(x1)		w: (0, 0)
  #a(x1)		w: (max{0, 20587 + x1_1}, -1)
  #b(x1)		w: (max{0, 1 + x1_1}, -1)
    USABLE RULES: { 1 3 8 }
    Removed DPs: #17..19
Number of SCCs: 0, DPs: 0