/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(b(b(a(x1)))) -> a(c(a(b(x1))))
    2: a(c(x1)) -> c(c(a(x1)))
    3: c(c(c(x1))) -> b(c(b(x1)))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(c(x1)) -> #c(c(a(x1)))
   #2: #a(c(x1)) -> #c(a(x1))
   #3: #a(c(x1)) -> #a(x1)
   #4: #c(c(c(x1))) -> #c(b(x1))
   #5: #a(b(b(a(x1)))) -> #a(c(a(b(x1))))
   #6: #a(b(b(a(x1)))) -> #c(a(b(x1)))
   #7: #a(b(b(a(x1)))) -> #a(b(x1))
Number of SCCs: 1, DPs: 3
	SCC { #3 #5 #7 }
Sum... succeeded.
  a(x1)		w: (7720 + x1)
  b(x1)		w: (x1)
  c(x1)		w: (x1)
  #c(x1)		w: (0)
  #a(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #7
Number of SCCs: 1, DPs: 2
	SCC { #3 #5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (5745, 5744)
  b(x1)		w: (x1_1, x1_1)
  c(x1)		w: (0, x1_2)
  #c(x1)		w: (0, 0)
  #a(x1)		w: (x1_2, 29177)
    USABLE RULES: { 1..3 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 1
	SCC { #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (0, 0)
  b(x1)		w: (0, 0)
  c(x1)		w: (max{0, 1 + x1_1}, -1)
  #c(x1)		w: (0, 0)
  #a(x1)		w: (max{0, 2 + x1_1}, 0)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0