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