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