/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(l(x1)) -> l(a(x1))
    2: a(c(x1)) -> c(a(x1))
    3: c(a(r(x1))) -> r(a(x1))
    4: l(r(a(x1))) -> a(l(c(c(r(x1)))))
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(c(x1)) -> #c(a(x1))
   #2: #a(c(x1)) -> #a(x1)
   #3: #c(a(r(x1))) -> #a(x1)
   #4: #a(l(x1)) -> #l(a(x1))
   #5: #a(l(x1)) -> #a(x1)
   #6: #l(r(a(x1))) -> #a(l(c(c(r(x1)))))
   #7: #l(r(a(x1))) -> #l(c(c(r(x1))))
   #8: #l(r(a(x1))) -> #c(c(r(x1)))
   #9: #l(r(a(x1))) -> #c(r(x1))
Number of SCCs: 1, DPs: 6
	SCC { #1..6 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  r(x1)		w: (2 + x1)
  l(x1)		w: (1 + x1)
  c(x1)		w: (x1)
  #c(x1)		w: (10450 + x1)
  #l(x1)		w: (10452 + x1)
  #a(x1)		w: (10452 + x1)
    USABLE RULES: { 1..4 }
    Removed DPs: #1 #3 #5
Number of SCCs: 2, DPs: 3
	SCC { #2 }
Sum... succeeded.
  a(x1)		w: (x1)
  r(x1)		w: (28101 + x1)
  l(x1)		w: (1)
  c(x1)		w: (5854 + x1)
  #c(x1)		w: (10450 + x1)
  #l(x1)		w: (10452 + x1)
  #a(x1)		w: (10452 + x1)
    USABLE RULES: { 1..4 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2
	SCC { #4 #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (max{0, 26836 + x1_1}, x1_2)
  r(x1)		w: (max{0, 53671}, -53673)
  l(x1)		w: (max{0, 53673 + x1_1}, -1 + x1_2)
  c(x1)		w: (max{0, 26837 + x1_1 + x1_2}, -53673)
  #c(x1)		w: (0, 0)
  #l(x1)		w: (max{0, 106300 + x1_1 + x1_2}, -4035)
  #a(x1)		w: (max{0, 106298 + x1_1 + x1_2}, -4035)
    USABLE RULES: { 1..4 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0