/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: r1(a(x1)) -> a(a(a(r1(x1))))
    2: r2(a(x1)) -> a(a(a(r2(x1))))
    3: a(l1(x1)) -> l1(a(a(a(x1))))
    4: a(a(l2(x1))) -> l2(a(a(x1)))
    5: r1(b(x1)) -> l1(b(x1))
    6: r2(b(x1)) -> l2(a(b(x1)))
    7: b(l1(x1)) -> b(r2(x1))
    8: b(l2(x1)) -> b(r1(x1))
    9: a(a(x1)) -> x1
Number of strict rules: 9
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #r2(a(x1)) -> #a(a(a(r2(x1))))
   #2: #r2(a(x1)) -> #a(a(r2(x1)))
   #3: #r2(a(x1)) -> #a(r2(x1))
   #4: #r2(a(x1)) -> #r2(x1)
   #5: #r2(b(x1)) -> #a(b(x1))
   #6: #b(l1(x1)) -> #b(r2(x1))
   #7: #b(l1(x1)) -> #r2(x1)
   #8: #a(l1(x1)) -> #a(a(a(x1)))
   #9: #a(l1(x1)) -> #a(a(x1))
   #10: #a(l1(x1)) -> #a(x1)
   #11: #r1(a(x1)) -> #a(a(a(r1(x1))))
   #12: #r1(a(x1)) -> #a(a(r1(x1)))
   #13: #r1(a(x1)) -> #a(r1(x1))
   #14: #r1(a(x1)) -> #r1(x1)
   #15: #b(l2(x1)) -> #b(r1(x1))
   #16: #b(l2(x1)) -> #r1(x1)
   #17: #a(a(l2(x1))) -> #a(a(x1))
   #18: #a(a(l2(x1))) -> #a(x1)
Number of SCCs: 4, DPs: 9
	SCC { #14 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  b(x1)		w: (0)
  l1(x1)		w: (0)
  l2(x1)		w: (0)
  #r1(x1)		w: (x1)
  r1(x1)		w: (0)
  #r2(x1)		w: (0)
  #a(x1)		w: (0)
  r2(x1)		w: (0)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #14
Number of SCCs: 3, DPs: 8
	SCC { #4 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  b(x1)		w: (0)
  l1(x1)		w: (0)
  l2(x1)		w: (0)
  #r1(x1)		w: (0)
  r1(x1)		w: (0)
  #r2(x1)		w: (x1)
  #a(x1)		w: (0)
  r2(x1)		w: (0)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 2, DPs: 7
	SCC { #6 #15 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (x1_2, x1_1)
  b(x1)		w: (1, 7724 + x1_2)
  l1(x1)		w: (2 + x1_1, 2 + x1_2)
  l2(x1)		w: (1, 7724 + x1_2)
  #r1(x1)		w: (0, 0)
  r1(x1)		w: (2 + x1_1, 2 + x1_2)
  #r2(x1)		w: (0, 0)
  #a(x1)		w: (0, 0)
  r2(x1)		w: (1 + x1_1, 1 + x1_2)
  #b(x1)		w: (1919 + x1_2, 6945 + x1_2)
    USABLE RULES: { 1..9 }
    Removed DPs: #6 #15
Number of SCCs: 1, DPs: 5
	SCC { #8..10 #17 #18 }
Sum... succeeded.
  a(x1)		w: (x1)
  b(x1)		w: (2441 + x1)
  l1(x1)		w: (2440 + x1)
  l2(x1)		w: (1 + x1)
  #r1(x1)		w: (0)
  r1(x1)		w: (2439 + x1)
  #r2(x1)		w: (0)
  #a(x1)		w: (8855 + x1)
  r2(x1)		w: (2441)
  #b(x1)		w: (0)
    USABLE RULES: { 3 4 9 }
    Removed DPs: #8..10 #17 #18
Number of SCCs: 0, DPs: 0