/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: f(x1) -> n(c(n(a(x1))))
    2: c(f(x1)) -> f(n(a(c(x1))))
    3: n(a(x1)) -> c(x1)
    4: c(c(x1)) -> c(x1)
    5: n(s(x1)) -> f(s(s(x1)))
    6: n(f(x1)) -> f(n(x1))
Number of strict rules: 6
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(f(x1)) -> #f(n(a(c(x1))))
   #2: #c(f(x1)) -> #n(a(c(x1)))
   #3: #c(f(x1)) -> #c(x1)
   #4: #n(f(x1)) -> #f(n(x1))
   #5: #n(f(x1)) -> #n(x1)
   #6: #n(s(x1)) -> #f(s(s(x1)))
   #7: #n(a(x1)) -> #c(x1)
   #8: #f(x1) -> #n(c(n(a(x1))))
   #9: #f(x1) -> #c(n(a(x1)))
   #10: #f(x1) -> #n(a(x1))
Number of SCCs: 1, DPs: 10
	SCC { #1..10 }
Sum... succeeded.
  a(x1)		w: (0)
  s(x1)		w: (20538)
  n(x1)		w: (x1)
  c(x1)		w: (0)
  f(x1)		w: (x1)
  #f(x1)		w: (284)
  #c(x1)		w: (284)
  #n(x1)		w: (284 + x1)
    USABLE RULES: { 1..6 }
    Removed DPs: #6
Number of SCCs: 1, DPs: 9
	SCC { #1..5 #7..10 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (x1_1, 0)
  s(x1)		w: (3024 + x1_1, 13362)
  n(x1)		w: (x1_1 + x1_2, x1_2)
  c(x1)		w: (x1_1, 0)
  f(x1)		w: (10338 + x1_1, x1_2)
  #f(x1)		w: (41931 + x1_1, 28937)
  #c(x1)		w: (41929 + x1_1, 28937)
  #n(x1)		w: (41930 + x1_1 + x1_2, 28937)
    USABLE RULES: { 1..6 }
    Removed DPs: #1..5 #7..10
Number of SCCs: 0, DPs: 0