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