/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(lambda(x),y) -> lambda(a(x,p(1(),a(y,t()))))
    2: a(p(x,y),z) -> p(a(x,z),a(y,z))
    3: a(a(x,y),z) -> a(x,a(y,z))
    4: lambda(x) -> x
    5: a(x,y) -> x
    6: a(x,y) -> y
    7: p(x,y) -> x
    8: p(x,y) -> y
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #a(p(x,y),z) -> #p(a(x,z),a(y,z))
   #2: #a(p(x,y),z) -> #a(x,z)
   #3: #a(p(x,y),z) -> #a(y,z)
   #4: #a(a(x,y),z) -> #a(x,a(y,z))
   #5: #a(a(x,y),z) -> #a(y,z)
   #6: #a(lambda(x),y) -> #lambda(a(x,p(1(),a(y,t()))))
   #7: #a(lambda(x),y) -> #a(x,p(1(),a(y,t())))
   #8: #a(lambda(x),y) -> #p(1(),a(y,t()))
   #9: #a(lambda(x),y) -> #a(y,t())
Number of SCCs: 1, DPs: 6
  SCC { #2..5 #7 #9 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: max(x1 + x2, 0)
      1 	w: 0
      #lambda	w: max(x1 - 1, 0)
      t 	w: 0
      lambda	w: max(x1 + 1, 0)
      #p 	w: 0
      p 	w: max(x1, x2, 0)
      #a 	w: max(x1 + x2 + 1, 0)
    USABLE RULES: { 1..8 }
    Removed DPs: #7 #9
Number of SCCs: 1, DPs: 4
  SCC { #2..5 }
POLO(Sum)... succeeded.
      a 	w: x1 + x2 + 1
      1 	w: 1
      #lambda	w: 0
      t 	w: 1
      lambda	w: 1
      #p 	w: 0
      p 	w: x1 + x2 + 1
      #a 	w: x1
    USABLE RULES: { }
    Removed DPs: #2..5
Number of SCCs: 0, DPs: 0