/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: f(x1) -> n(c(c(x1)))
    2: c(f(x1)) -> f(c(c(x1)))
    3: c(c(x1)) -> c(x1)
    4: n(s(x1)) -> f(s(s(x1)))
    5: n(f(x1)) -> f(n(x1))
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(f(x1)) -> #f(c(c(x1)))
   #2: #c(f(x1)) -> #c(c(x1))
   #3: #c(f(x1)) -> #c(x1)
   #4: #n(f(x1)) -> #f(n(x1))
   #5: #n(f(x1)) -> #n(x1)
   #6: #f(x1) -> #n(c(c(x1)))
   #7: #f(x1) -> #c(c(x1))
   #8: #f(x1) -> #c(x1)
   #9: #n(s(x1)) -> #f(s(s(x1)))
Number of SCCs: 1, DPs: 9
	SCC { #1..9 }
Sum... succeeded.
  s(x1)		w: (x1)
  n(x1)		w: (40 + x1)
  c(x1)		w: (x1)
  f(x1)		w: (40 + x1)
  #f(x1)		w: (39 + x1)
  #c(x1)		w: (x1)
  #n(x1)		w: (39 + x1)
    USABLE RULES: { 1..5 }
    Removed DPs: #1..3 #5 #7 #8
Number of SCCs: 1, DPs: 2
	SCC { #4 #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  s(x1)		w: (12702, 12701)
  n(x1)		w: (x1_1, 24324 + x1_1 + x1_2)
  c(x1)		w: (0, x1_2)
  f(x1)		w: (x1_1, 37026 + x1_2)
  #f(x1)		w: (14926 + x1_2, 25728)
  #c(x1)		w: (0, 0)
  #n(x1)		w: (14925 + x1_1 + x1_2, 25728)
    USABLE RULES: { 1..5 }
    Removed DPs: #4 #6
Number of SCCs: 0, DPs: 0