/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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 poly ... failed.
Freezing ... 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 }
Sum... succeeded.
  1()		w: (0)
  ln(x1)		w: (1 + x1)
  constant()		w: (0)
  minus(x1)		w: (1 + x1)
  pow(x1,x2)		w: (1 + x2 + x1)
  t()		w: (0)
  div(x1,x2)		w: (1 + x2 + x1)
  D(x1)		w: (0)
  0()		w: (0)
  #D(x1)		w: (x1)
  -(x1,x2)		w: (1 + x2 + x1)
  2()		w: (0)
  +(x1,x2)		w: (1 + x2 + x1)
  *(x1,x2)		w: (1 + x2 + x1)
    USABLE RULES: { }
    Removed DPs: #1..12
Number of SCCs: 0, DPs: 0