2.64/1.26	NO
2.64/1.27	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.64/1.27	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.64/1.27	
2.64/1.27	
2.64/1.27	Outermost Termination of the given OTRS could be disproven:
2.64/1.27	
2.64/1.27	(0) OTRS
2.64/1.27	(1) OutermostNonTerminationProof [COMPLETE, 51 ms]
2.64/1.27	(2) NO
2.64/1.27	
2.64/1.27	
2.64/1.27	----------------------------------------
2.64/1.27	
2.64/1.27	(0)
2.64/1.27	Obligation:
2.64/1.27	Term rewrite system R:
2.64/1.27	The TRS R consists of the following rules:
2.64/1.27	
2.64/1.27	   fib(N) -> sel(N, fib1(s(0), s(0)))
2.64/1.27	   fib1(X, Y) -> cons(X, fib1(Y, add(X, Y)))
2.64/1.27	   add(0, X) -> X
2.64/1.27	   add(s(X), Y) -> s(add(X, Y))
2.64/1.27	   sel(0, cons(X, XS)) -> X
2.64/1.27	   sel(s(N), cons(X, XS)) -> sel(N, XS)
2.64/1.27	
2.64/1.27	
2.64/1.27	
2.64/1.27	Outermost Strategy.
2.64/1.27	
2.64/1.27	----------------------------------------
2.64/1.27	
2.64/1.27	(1) OutermostNonTerminationProof (COMPLETE)
2.64/1.27	Term rewrite system R:
2.64/1.27	The TRS R consists of the following rules:
2.64/1.27	
2.64/1.27	   fib(N) -> sel(N, fib1(s(0), s(0)))
2.64/1.27	   fib1(X, Y) -> cons(X, fib1(Y, add(X, Y)))
2.64/1.27	   add(0, X) -> X
2.64/1.27	   add(s(X), Y) -> s(add(X, Y))
2.64/1.27	   sel(0, cons(X, XS)) -> X
2.64/1.27	   sel(s(N), cons(X, XS)) -> sel(N, XS)
2.64/1.27	
2.64/1.27	
2.64/1.27	
2.64/1.27	Outermost Strategy.
2.64/1.27	
2.64/1.27	---------- Loop: ----------
2.64/1.27	
2.64/1.27	fib1(X, Y) -> cons(X, fib1(Y, add(X, Y))) with rule fib1(X', Y') -> cons(X', fib1(Y', add(X', Y'))) at position [] and matcher [X' / X, Y' / Y]
2.64/1.27	
2.64/1.27	Now an instance of the first term with Matcher [X / Y, Y / add(X, Y)] occurs in the last term at position [1].
2.64/1.27	
2.64/1.27	Context: cons(X, [])
2.64/1.27	
2.64/1.27	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.64/1.27	----------------------------------------
2.64/1.27	
2.64/1.27	(2)
2.64/1.27	NO
2.64/1.30	EOF