/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(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 POLO(bPol) ... failed.
Uncurrying ... 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 }
POLO(Sum)... succeeded.
      a 	w: x1 + 1
      b 	w: 0
      f 	w: x1 + x2
      #f 	w: 0
      #a 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #7
Number of SCCs: 1, DPs: 1
  SCC { #6 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [0,1;1,0] * x1 + [1;2]
      b 	w: [1;1]
      f 	w: [1,0;0,0] * x1 + [1,0;0,0] * x2 + [0;1]
      #f 	w: [0;0]
      #a 	w: [0,1;0,0] * x1
    USABLE RULES: { 1..3 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0