/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: fib(N) -> sel(N,fib1(s(0()),s(0())))
    2: fib1(X,Y) -> cons(X,n__fib1(Y,n__add(X,Y)))
    3: add(0(),X) -> X
    4: add(s(X),Y) -> s(add(X,Y))
    5: sel(0(),cons(X,XS)) -> X
    6: sel(s(N),cons(X,XS)) -> sel(N,activate(XS))
    7: fib1(X1,X2) -> n__fib1(X1,X2)
    8: add(X1,X2) -> n__add(X1,X2)
    9: activate(n__fib1(X1,X2)) -> fib1(activate(X1),activate(X2))
    10: activate(n__add(X1,X2)) -> add(activate(X1),activate(X2))
    11: activate(X) -> X
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #sel(s(N),cons(X,XS)) -> #sel(N,activate(XS))
   #2: #sel(s(N),cons(X,XS)) -> #activate(XS)
   #3: #activate(n__fib1(X1,X2)) -> #fib1(activate(X1),activate(X2))
   #4: #activate(n__fib1(X1,X2)) -> #activate(X1)
   #5: #activate(n__fib1(X1,X2)) -> #activate(X2)
   #6: #activate(n__add(X1,X2)) -> #add(activate(X1),activate(X2))
   #7: #activate(n__add(X1,X2)) -> #activate(X1)
   #8: #activate(n__add(X1,X2)) -> #activate(X2)
   #9: #fib(N) -> #sel(N,fib1(s(0()),s(0())))
   #10: #fib(N) -> #fib1(s(0()),s(0()))
   #11: #add(s(X),Y) -> #add(X,Y)
Number of SCCs: 3, DPs: 6
  SCC { #11 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      activate	w: 0
      #activate	w: 0
      n__add	w: 0
      #fib1	w: 0
      n__fib1	w: 0
      fib1	w: 0
      fib	w: 0
      0 	w: 0
      #sel	w: 0
      sel	w: 0
      cons	w: 0
      #add	w: x1
      add	w: 0
      #fib	w: 0
    USABLE RULES: { }
    Removed DPs: #11
Number of SCCs: 2, DPs: 5
  SCC { #1 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      activate	w: x1 + 1
      #activate	w: 0
      n__add	w: 1
      #fib1	w: 0
      n__fib1	w: x2 + 1
      fib1	w: x1 + 3
      fib	w: 0
      0 	w: 1
      #sel	w: x1
      sel	w: 0
      cons	w: x1 + x2 + 1
      #add	w: 0
      add	w: x2 + 2
      #fib	w: 0
    USABLE RULES: { 3 8 }
    Removed DPs: #1
Number of SCCs: 1, DPs: 4
  SCC { #4 #5 #7 #8 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      activate	w: x1 + 1
      #activate	w: x1
      n__add	w: x1 + x2 + 1
      #fib1	w: 0
      n__fib1	w: x1 + x2 + 1
      fib1	w: 3
      fib	w: 0
      0 	w: 1
      #sel	w: 0
      sel	w: 0
      cons	w: 1
      #add	w: 0
      add	w: x2 + 2
      #fib	w: 0
    USABLE RULES: { 3 }
    Removed DPs: #4 #5 #7 #8
Number of SCCs: 0, DPs: 0