/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: D(t()) -> 1()
    2: D(constant()) -> 0()
    3: D(+(x,y)) -> +(D(x),D(y))
    4: D(*(x,y)) -> +(*(y,D(x)),*(x,D(y)))
    5: D(-(x,y)) -> -(D(x),D(y))
    6: D(minus(x)) -> minus(D(x))
    7: D(div(x,y)) -> -(div(D(x),y),div(*(x,D(y)),pow(y,2())))
    8: D(ln(x)) -> div(D(x),x)
    9: D(pow(x,y)) -> +(*(*(y,pow(x,-(y,1()))),D(x)),*(*(pow(x,y),ln(x)),D(y)))
Number of strict rules: 9
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #D(minus(x)) -> #D(x)
   #2: #D(pow(x,y)) -> #D(x)
   #3: #D(pow(x,y)) -> #D(y)
   #4: #D(div(x,y)) -> #D(x)
   #5: #D(div(x,y)) -> #D(y)
   #6: #D(-(x,y)) -> #D(x)
   #7: #D(-(x,y)) -> #D(y)
   #8: #D(+(x,y)) -> #D(x)
   #9: #D(+(x,y)) -> #D(y)
   #10: #D(ln(x)) -> #D(x)
   #11: #D(*(x,y)) -> #D(x)
   #12: #D(*(x,y)) -> #D(y)
Number of SCCs: 1, DPs: 12
  SCC { #1..12 }
POLO(Sum)... succeeded.
      1 	w: 0
      ln	w: x1 + 1
      constant	w: 0
      minus	w: x1 + 1
      pow	w: x1 + x2 + 1
      t 	w: 0
      div	w: x1 + x2 + 1
      D 	w: 0
      0 	w: 0
      #D 	w: x1
      - 	w: x1 + x2 + 1
      2 	w: 0
      + 	w: x1 + x2 + 1
      * 	w: x1 + x2 + 1
    USABLE RULES: { }
    Removed DPs: #1..12
Number of SCCs: 0, DPs: 0