/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(x)) -> b(a(a(x)))
    2: b(c(x)) -> c(b(b(x)))
    3: c(a(x)) -> a(c(c(x)))
    4: u(a(x)) -> x
    5: v(b(x)) -> x
    6: w(c(x)) -> x
    7: a(u(x)) -> x
    8: b(v(x)) -> x
    9: c(w(x)) -> x
Number of strict rules: 9
Direct poly ... removes: 4 8 5 7 9 6
  a(x1)		w: (x1)
  v(x1)		w: (1 + x1)
  b(x1)		w: (x1)
  u(x1)		w: (1 + x1)
  w(x1)		w: (2 + 2 * x1)
  c(x1)		w: (x1)
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(c(x)) -> #c(b(b(x)))
   #2: #b(c(x)) -> #b(b(x))
   #3: #b(c(x)) -> #b(x)
   #4: #c(a(x)) -> #a(c(c(x)))
   #5: #c(a(x)) -> #c(c(x))
   #6: #c(a(x)) -> #c(x)
   #7: #a(b(x)) -> #b(a(a(x)))
   #8: #a(b(x)) -> #a(a(x))
   #9: #a(b(x)) -> #a(x)
Number of SCCs: 1, DPs: 9
	SCC { #1..9 }
Sum... succeeded.
  a(x1)		w: (x1)
  v(x1)		w: (0)
  b(x1)		w: (2441 + x1)
  u(x1)		w: (0)
  w(x1)		w: (0)
  c(x1)		w: (1)
  #c(x1)		w: (4)
  #a(x1)		w: (2 + x1)
  #b(x1)		w: (2442)
    USABLE RULES: { 1..3 }
    Removed DPs: #1 #4 #7..9
Number of SCCs: 2, DPs: 4
	SCC { #5 #6 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  v(x1)		w: (0)
  b(x1)		w: (1)
  u(x1)		w: (0)
  w(x1)		w: (0)
  c(x1)		w: (x1)
  #c(x1)		w: (4 + x1)
  #a(x1)		w: (2 + x1)
  #b(x1)		w: (2442)
    USABLE RULES: { 1..3 }
    Removed DPs: #5 #6
Number of SCCs: 1, DPs: 2
	SCC { #2 #3 }
Sum... succeeded.
  a(x1)		w: (0)
  v(x1)		w: (0)
  b(x1)		w: (x1)
  u(x1)		w: (0)
  w(x1)		w: (0)
  c(x1)		w: (1 + x1)
  #c(x1)		w: (4 + x1)
  #a(x1)		w: (2 + x1)
  #b(x1)		w: (2442 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #2 #3
Number of SCCs: 0, DPs: 0