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