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