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