/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(x1)) -> b(c(a(x1)))
    2: b(c(x1)) -> c(b(b(x1)))
    3: a(c(x1)) -> c(a(b(x1)))
    4: a(a(x1)) -> a(d(d(d(x1))))
    5: d(a(x1)) -> d(d(c(x1)))
    6: a(d(d(c(x1)))) -> a(a(a(d(x1))))
    7: e(e(f(f(x1)))) -> f(f(f(e(e(x1)))))
    8: e(x1) -> a(x1)
    9: b(d(x1)) -> d(d(x1))
Number of strict rules: 9
Direct poly ... removes: 8 7
  a(x1)		w: (x1)
  d(x1)		w: (x1)
  b(x1)		w: (x1)
  c(x1)		w: (x1)
  f(x1)		w: (1143 + x1)
  e(x1)		w: (1 + 2 * x1)
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(c(x1)) -> #b(b(x1))
   #2: #b(c(x1)) -> #b(x1)
   #3: #a(d(d(c(x1)))) -> #a(a(a(d(x1))))
   #4: #a(d(d(c(x1)))) -> #a(a(d(x1)))
   #5: #a(d(d(c(x1)))) -> #a(d(x1))
   #6: #a(d(d(c(x1)))) -> #d(x1)
   #7: #b(d(x1)) -> #d(d(x1))
   #8: #d(a(x1)) -> #d(d(c(x1)))
   #9: #d(a(x1)) -> #d(c(x1))
   #10: #a(c(x1)) -> #a(b(x1))
   #11: #a(c(x1)) -> #b(x1)
   #12: #a(b(x1)) -> #b(c(a(x1)))
   #13: #a(b(x1)) -> #a(x1)
   #14: #a(a(x1)) -> #a(d(d(d(x1))))
   #15: #a(a(x1)) -> #d(d(d(x1)))
   #16: #a(a(x1)) -> #d(d(x1))
   #17: #a(a(x1)) -> #d(x1)
Number of SCCs: 2, DPs: 7
	SCC { #1 #2 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  d(x1)		w: (x1)
  b(x1)		w: (x1)
  c(x1)		w: (1 + x1)
  f(x1)		w: (0)
  #d(x1)		w: (0)
  e(x1)		w: (0)
  #a(x1)		w: (0)
  #b(x1)		w: (x1)
    USABLE RULES: { 2 5 9 }
    Removed DPs: #1 #2
Number of SCCs: 1, DPs: 5
	SCC { #3..5 #10 #13 }
Sum... succeeded.
  a(x1)		w: (1)
  d(x1)		w: (2)
  b(x1)		w: (x1)
  c(x1)		w: (x1)
  f(x1)		w: (0)
  #d(x1)		w: (0)
  e(x1)		w: (0)
  #a(x1)		w: (8855 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..6 9 }
    Removed DPs: #3 #4
Number of SCCs: 2, DPs: 3
	SCC { #5 }
Sum... Max... succeeded.
  a(x1)		w: (1 + x1)
  d(x1)		w: (x1)
  b(x1)		w: (0)
  c(x1)		w: (1 + x1)
  f(x1)		w: (0)
  #d(x1)		w: (0)
  e(x1)		w: (0)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { 5 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 2
	SCC { #10 #13 }
Sum... Max... succeeded.
  a(x1)		w: (1)
  d(x1)		w: (1)
  b(x1)		w: (x1)
  c(x1)		w: (21239 + x1)
  f(x1)		w: (0)
  #d(x1)		w: (0)
  e(x1)		w: (0)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { 2 5 9 }
    Removed DPs: #10
Number of SCCs: 1, DPs: 1
	SCC { #13 }
Sum... succeeded.
  a(x1)		w: (2)
  d(x1)		w: (282)
  b(x1)		w: (1 + x1)
  c(x1)		w: (1)
  f(x1)		w: (0)
  #d(x1)		w: (0)
  e(x1)		w: (0)
  #a(x1)		w: (8855 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..6 9 }
    Removed DPs: #13
Number of SCCs: 0, DPs: 0