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


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YES
Input TRS:
    1: a(c(x1)) -> c(b(c(c(a(x1)))))
    2: b(b(b(x1))) -> c(b(x1))
    3: d(d(x1)) -> d(b(d(b(d(x1)))))
    4: a(a(x1)) -> a(d(a(x1)))
    5: a(b(x1)) -> c(c(a(x1)))
    6: c(c(x1)) -> c(b(c(b(c(x1)))))
    7: c(c(c(x1))) -> c(b(b(x1)))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(b(b(x1))) -> #c(b(x1))
   #2: #c(c(x1)) -> #c(b(c(b(c(x1)))))
   #3: #c(c(x1)) -> #b(c(b(c(x1))))
   #4: #c(c(x1)) -> #c(b(c(x1)))
   #5: #c(c(x1)) -> #b(c(x1))
   #6: #c(c(c(x1))) -> #c(b(b(x1)))
   #7: #c(c(c(x1))) -> #b(b(x1))
   #8: #c(c(c(x1))) -> #b(x1)
   #9: #a(b(x1)) -> #c(c(a(x1)))
   #10: #a(b(x1)) -> #c(a(x1))
   #11: #a(b(x1)) -> #a(x1)
   #12: #d(d(x1)) -> #d(b(d(b(d(x1)))))
   #13: #d(d(x1)) -> #b(d(b(d(x1))))
   #14: #d(d(x1)) -> #d(b(d(x1)))
   #15: #d(d(x1)) -> #b(d(x1))
   #16: #a(c(x1)) -> #c(b(c(c(a(x1)))))
   #17: #a(c(x1)) -> #b(c(c(a(x1))))
   #18: #a(c(x1)) -> #c(c(a(x1)))
   #19: #a(c(x1)) -> #c(a(x1))
   #20: #a(c(x1)) -> #a(x1)
   #21: #a(a(x1)) -> #a(d(a(x1)))
   #22: #a(a(x1)) -> #d(a(x1))
Number of SCCs: 2, DPs: 6
	SCC { #11 #20 }
Sum... succeeded.
  a(x1)		w: (0)
  d(x1)		w: (0)
  b(x1)		w: (1 + x1)
  c(x1)		w: (1 + x1)
  #d(x1)		w: (0)
  #c(x1)		w: (0)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #11 #20
Number of SCCs: 1, DPs: 4
	SCC { #1 #6..8 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (0, 0)
  d(x1)		w: (0, 0)
  b(x1)		w: (max{0, 3197 + x1_1 + x1_2}, -2131)
  c(x1)		w: (max{0, 2132 + x1_1}, -7461)
  #d(x1)		w: (0, 0)
  #c(x1)		w: (max{0, 1 + x1_1}, 0)
  #a(x1)		w: (0, 0)
  #b(x1)		w: (max{0, -1 + x1_1}, 0)
    USABLE RULES: { 2 6 7 }
    Removed DPs: #1 #6..8
Number of SCCs: 0, DPs: 0