/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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NO
Input TRS:
    1: fib(N) -> sel(N,fib1(s(0()),s(0())))
    2: fib1(X,Y) -> cons(X,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,XS)
Number of strict rules: 6
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #fib1(X,Y) -> #fib1(Y,add(X,Y))
   #2: #fib1(X,Y) -> #add(X,Y)
   #3: #sel(s(N),cons(X,XS)) -> #sel(N,XS)
   #4: #fib(N) -> #sel(N,fib1(s(0()),s(0())))
   #5: #fib(N) -> #fib1(s(0()),s(0()))
   #6: #add(s(X),Y) -> #add(X,Y)
Number of SCCs: 3, DPs: 3
	SCC { #6 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #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: #6
Number of SCCs: 2, DPs: 2
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  found.
  #fib1(X,X_{1})	-#1->
  #fib1(X_{1},add(X,X_{1}))	--->*
  #fib1(X_{1},add(X,X_{1}))
  Looping with: [ X := X_{1}; X_{1} := add(X,X_{1}); ]