/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,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: activate(n__fib1(X1,X2)) -> fib1(X1,X2)
    9: activate(X) -> X
Number of strict rules: 9
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #fib1(X,Y) -> #add(X,Y)
   #2: #sel(s(N),cons(X,XS)) -> #sel(N,activate(XS))
   #3: #sel(s(N),cons(X,XS)) -> #activate(XS)
   #4: #fib(N) -> #sel(N,fib1(s(0()),s(0())))
   #5: #fib(N) -> #fib1(s(0()),s(0()))
   #6: #activate(n__fib1(X1,X2)) -> #fib1(X1,X2)
   #7: #add(s(X),Y) -> #add(X,Y)
Number of SCCs: 2, DPs: 2
	SCC { #7 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  activate(x1)		w: (0)
  #activate(x1)		w: (0)
  #fib1(x1,x2)		w: (0)
  n__fib1(x1,x2)		w: (0)
  fib1(x1,x2)		w: (0)
  fib(x1)		w: (0)
  0()		w: (0)
  #sel(x1,x2)		w: (0)
  sel(x1,x2)		w: (0)
  cons(x1,x2)		w: (0)
  #add(x1,x2)		w: (x1)
  add(x1,x2)		w: (0)
  #fib(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (4 + x1)
  activate(x1)		w: (1)
  #activate(x1)		w: (0)
  #fib1(x1,x2)		w: (0)
  n__fib1(x1,x2)		w: (3)
  fib1(x1,x2)		w: (2)
  fib(x1)		w: (0)
  0()		w: (1)
  #sel(x1,x2)		w: (30614 + x1)
  sel(x1,x2)		w: (0)
  cons(x1,x2)		w: (3 + x1)
  #add(x1,x2)		w: (0)
  add(x1,x2)		w: (1 + x2 + x1)
  #fib(x1)		w: (0)
    USABLE RULES: { 3 4 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0