/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(b(x1)) -> d(x1)
    2: b(a(x1)) -> a(b(x1))
    3: d(c(x1)) -> f(a(b(b(c(x1)))))
    4: d(f(x1)) -> f(a(b(x1)))
    5: a(f(x1)) -> a(x1)
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(a(x1)) -> #a(b(x1))
   #2: #b(a(x1)) -> #b(x1)
   #3: #a(f(x1)) -> #a(x1)
   #4: #d(c(x1)) -> #a(b(b(c(x1))))
   #5: #d(c(x1)) -> #b(b(c(x1)))
   #6: #d(c(x1)) -> #b(c(x1))
   #7: #a(b(x1)) -> #d(x1)
   #8: #d(f(x1)) -> #a(b(x1))
   #9: #d(f(x1)) -> #b(x1)
Number of SCCs: 1, DPs: 7
	SCC { #1..4 #7..9 }
Sum... succeeded.
  a(x1)		w: (21240 + x1)
  d(x1)		w: (21240 + x1)
  b(x1)		w: (x1)
  c(x1)		w: (1 + x1)
  f(x1)		w: (x1)
  #d(x1)		w: (18802 + x1)
  #a(x1)		w: (18802 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..5 }
    Removed DPs: #1 #2 #9
Number of SCCs: 1, DPs: 4
	SCC { #3 #4 #7 #8 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1)		w: (0)
  d(x1)		w: (0)
  b(x1)		w: (max{0, -8946 + x1})
  c(x1)		w: (max{0, 56547 + x1})
  f(x1)		w: (max{0, x1})
  #d(x1)		w: (max{0, -11944 + x1})
  #a(x1)		w: (max{0, -2998 + x1})
  #b(x1)		w: (0)
    USABLE RULES: { 1..5 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 3
	SCC { #3 #7 #8 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (max{0, -14098 + x1_1}, 0)
  d(x1)		w: (max{0, 17897 + x1_1 + x1_2}, 0)
  b(x1)		w: (max{0, 31995 + x1_1 + x1_2}, x1_2)
  c(x1)		w: (max{0, 188003}, -125997)
  f(x1)		w: (max{0, 79903 + x1_1}, 0)
  #d(x1)		w: (max{0, -15261 + x1_1 + x1_2}, -27520)
  #a(x1)		w: (max{0, 32646 + x1_1}, -27520)
  #b(x1)		w: (0, 0)
    USABLE RULES: { 1..5 }
    Removed DPs: #3 #7 #8
Number of SCCs: 0, DPs: 0