/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: o(lambda(x),y) -> lambda(o(x,d(1(),o(y,p()))))
    2: o(d(x,y),z) -> d(o(x,z),o(y,z))
    3: o(o(x,y),z) -> o(x,o(y,z))
    4: lambda(x) -> x
    5: o(x,y) -> x
    6: o(x,y) -> y
    7: d(x,y) -> x
    8: d(x,y) -> y
    9: o(x,y) ->= d(x,y)
    10: o(x,y) ->= d(y,x)
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #o(d(x,y),z) -> #d(o(x,z),o(y,z))
   #2: #o(d(x,y),z) -> #o(x,z)
   #3: #o(d(x,y),z) -> #o(y,z)
   #4: #o(x,y) ->? #d(x,y)
   #5: #o(x,y) ->? #d(y,x)
   #6: #o(o(x,y),z) -> #o(x,o(y,z))
   #7: #o(o(x,y),z) -> #o(y,z)
   #8: #o(lambda(x),y) -> #lambda(o(x,d(1(),o(y,p()))))
   #9: #o(lambda(x),y) -> #o(x,d(1(),o(y,p())))
   #10: #o(lambda(x),y) -> #d(1(),o(y,p()))
   #11: #o(lambda(x),y) -> #o(y,p())
Number of SCCs: 1, DPs: 6
  SCC { #2 #3 #6 #7 #9 #11 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      1 	w: 0
      d 	w: max(x1, x2, 0)
      #lambda	w: max(x1 - 1, 0)
      lambda	w: max(x1 + 2, 0)
      o 	w: max(x1 + x2, 0)
      p 	w: 0
      #o 	w: max(x1 + x2 - 1, 0)
      #d 	w: 0
    USABLE RULES: { 1..10 }
    Removed DPs: #9 #11
Number of SCCs: 1, DPs: 4
  SCC { #2 #3 #6 #7 }
POLO(Sum)... succeeded.
      1 	w: 1
      d 	w: x1 + x2 + 1
      #lambda	w: 0
      lambda	w: x1 + 1
      o 	w: x1 + x2 + 1
      p 	w: 1
      #o 	w: x1
      #d 	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #3 #6 #7
Number of SCCs: 0, DPs: 0