/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: fib(0()) -> 0()
    2: fib(s(0())) -> s(0())
    3: fib(s(s(x))) -> +(fib(s(x)),fib(x))
    4: +(x,0()) -> x
    5: +(x,s(y)) -> s(+(x,y))
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Uncurrying fib
1: fib^1_0() -> 0()
2: fib^1_s(0()) -> s(0())
3: fib^1_s(s(x)) -> +(fib^1_s(x),fib(x))
4: +(x,0()) -> x
5: +(x,s(y)) -> s(+(x,y))
6: fib(0()) ->= fib^1_0()
7: fib(s(_1)) ->= fib^1_s(_1)
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #fib(0()) ->? #fib^1_0()
   #2: #fib(s(_1)) ->? #fib^1_s(_1)
   #3: #+(x,s(y)) -> #+(x,y)
   #4: #fib^1_s(s(x)) -> #+(fib^1_s(x),fib(x))
   #5: #fib^1_s(s(x)) -> #fib^1_s(x)
   #6: #fib^1_s(s(x)) -> #fib(x)
Number of SCCs: 2, DPs: 4
  SCC { #3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #fib^1_0	w: 0
      fib^1_s	w: 0
      fib^1_0	w: 0
      fib	w: 0
      0 	w: 0
      #fib^1_s	w: 0
      + 	w: 0
      #fib	w: 0
      #+ 	w: x2
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 3
  SCC { #2 #5 #6 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #fib^1_0	w: 0
      fib^1_s	w: 0
      fib^1_0	w: 0
      fib	w: 0
      0 	w: 0
      #fib^1_s	w: x1
      + 	w: 0
      #fib	w: x1
      #+ 	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #5 #6
Number of SCCs: 0, DPs: 0