/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(b(b(a(x1)))) -> b(a(a(b(x1))))
      2: a(b(b(b(x1)))) -> a(a(a(b(x1))))
      3: b(b(a(a(x1)))) -> b(b(b(a(x1))))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a(b(b(b(x1)))) -> #a(a(a(b(x1))))
     #2: #a(b(b(b(x1)))) -> #a(a(b(x1)))
     #3: #a(b(b(b(x1)))) -> #a(b(x1))
     #4: #b(b(a(a(x1)))) -> #b(b(b(a(x1))))
     #5: #b(b(a(a(x1)))) -> #b(b(a(x1)))
     #6: #b(b(a(a(x1)))) -> #b(a(x1))
     #7: #a(b(b(a(x1)))) -> #b(a(a(b(x1))))
     #8: #a(b(b(a(x1)))) -> #a(a(b(x1)))
     #9: #a(b(b(a(x1)))) -> #a(b(x1))
     #10: #a(b(b(a(x1)))) -> #b(x1)
Number of SCCs: 2, DPs: 8
  SCC { #4..6 }
POLO(Sum)... succeeded.
      a 	w: x1 + 23676
      b 	w: x1 + 23676
      #a 	w: 0
      #b 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #5 #6
Number of SCCs: 2, DPs: 6
  SCC { #4 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: 72938
      b 	w: max(x1 - 40652, 0)
      #a 	w: max(x1 - 1, 0)
      #b 	w: max(x1 + 40653, 0)
    USABLE RULES: { 1..3 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 5
  SCC { #1..3 #8 #9 }
POLO(Sum)... succeeded.
      a 	w: x1 + 28101
      b 	w: x1 + 28101
      #a 	w: x1
      #b 	w: 0
    USABLE RULES: { 1..3 }
    Removed DPs: #2 #3 #8 #9
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [0,0;1,0] * x1 + [1;0]
      b 	w: [0,1;0,0] * x1 + [0;2]
      #a 	w: [1,0;0,0] * x1
      #b 	w: [0;0]
    USABLE RULES: { 1..3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0