/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: a(a(f(b(),a(x)))) -> f(a(a(a(x))),b())
    2: a(a(x)) -> f(b(),a(f(a(x),b())))
    3: f(a(x),b()) -> f(b(),a(x))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(a(x)) -> #f(b(),a(f(a(x),b())))
   #2: #a(a(x)) -> #a(f(a(x),b()))
   #3: #a(a(x)) -> #f(a(x),b())
   #4: #f(a(x),b()) -> #f(b(),a(x))
   #5: #a(a(f(b(),a(x)))) -> #f(a(a(a(x))),b())
   #6: #a(a(f(b(),a(x)))) -> #a(a(a(x)))
   #7: #a(a(f(b(),a(x)))) -> #a(a(x))
Number of SCCs: 1, DPs: 2
	SCC { #6 #7 }
Sum... succeeded.
  a(x1)		w: (39 + x1)
  b()		w: (0)
  f(x1,x2)		w: (x2 + x1)
  #f(x1,x2)		w: (0)
  #a(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #7
Number of SCCs: 1, DPs: 1
	SCC { #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (1 + x1_2, 45695 + x1_1)
  b()		w: (1, 2)
  f(x1,x2)		w: (31852 + x2_1 + x1_1, 13842)
  #f(x1,x2)		w: (0, 0)
  #a(x1)		w: (x1_2, 13799)
    USABLE RULES: { 1..3 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0