/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(x,y))) -> f(a(b(a(b(a(x))))),a(b(a(b(a(y))))))
    2: f(a(x),a(y)) -> a(f(x,y))
    3: f(b(x),b(y)) -> b(f(x,y))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #f(a(x),a(y)) -> #a(f(x,y))
   #2: #f(a(x),a(y)) -> #f(x,y)
   #3: #f(b(x),b(y)) -> #f(x,y)
   #4: #a(a(f(x,y))) -> #f(a(b(a(b(a(x))))),a(b(a(b(a(y))))))
   #5: #a(a(f(x,y))) -> #a(b(a(b(a(x)))))
   #6: #a(a(f(x,y))) -> #a(b(a(x)))
   #7: #a(a(f(x,y))) -> #a(x)
   #8: #a(a(f(x,y))) -> #a(b(a(b(a(y)))))
   #9: #a(a(f(x,y))) -> #a(b(a(y)))
   #10: #a(a(f(x,y))) -> #a(y)
Number of SCCs: 1, DPs: 6
  SCC { #1..4 #7 #10 }
POLO(Sum)... succeeded.
      a 	w: x1
      b 	w: x1
      f 	w: x1 + x2 + 1
      #f 	w: x1 + x2 + 1
      #a 	w: x1
    USABLE RULES: { 1..3 }
    Removed DPs: #7 #10
Number of SCCs: 1, DPs: 4
  SCC { #1..4 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [1,1;0,0] * x1 + [0;2]
      b 	w: [1,0;0,0] * x1
      f 	w: x2
      #f 	w: [1,0;1,0] * x2 + [1;0]
      #a 	w: [1,1;1,0] * x1
    USABLE RULES: { 1..3 }
    Removed DPs: #1 #4
Number of SCCs: 1, DPs: 2
  SCC { #2 #3 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [1,1;0,0] * x1 + [1;5]
      b 	w: [1,0;0,0] * x1 + [1;1]
      f 	w: x2
      #f 	w: [1,0;0,0] * x2 + [1;0]
      #a 	w: [1,1;1,0] * x1
    USABLE RULES: { 1..3 }
    Removed DPs: #2 #3
Number of SCCs: 0, DPs: 0