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