2.71/1.25	NO
2.79/1.26	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.79/1.26	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.79/1.26	
2.79/1.26	
2.79/1.26	Outermost Termination of the given OTRS could be disproven:
2.79/1.26	
2.79/1.26	(0) OTRS
2.79/1.26	(1) OutermostNonTerminationProof [COMPLETE, 69 ms]
2.79/1.26	(2) NO
2.79/1.26	
2.79/1.26	
2.79/1.26	----------------------------------------
2.79/1.26	
2.79/1.26	(0)
2.79/1.26	Obligation:
2.79/1.26	Term rewrite system R:
2.79/1.26	The TRS R consists of the following rules:
2.79/1.26	
2.79/1.26	   f(n__a, X, X) -> f(activate(X), b, n__b)
2.79/1.26	   b -> a
2.79/1.26	   a -> n__a
2.79/1.26	   b -> n__b
2.79/1.26	   activate(n__a) -> a
2.79/1.26	   activate(n__b) -> b
2.79/1.26	   activate(X) -> X
2.79/1.26	
2.79/1.26	
2.79/1.26	
2.79/1.26	Outermost Strategy.
2.79/1.26	
2.79/1.26	----------------------------------------
2.79/1.26	
2.79/1.26	(1) OutermostNonTerminationProof (COMPLETE)
2.79/1.26	Term rewrite system R:
2.79/1.26	The TRS R consists of the following rules:
2.79/1.26	
2.79/1.26	   f(n__a, X, X) -> f(activate(X), b, n__b)
2.79/1.26	   b -> a
2.79/1.26	   a -> n__a
2.79/1.26	   b -> n__b
2.79/1.26	   activate(n__a) -> a
2.79/1.26	   activate(n__b) -> b
2.79/1.26	   activate(X) -> X
2.79/1.26	
2.79/1.26	
2.79/1.26	
2.79/1.26	Outermost Strategy.
2.79/1.26	
2.79/1.26	---------- Loop: ----------
2.79/1.26	
2.79/1.26	f(n__a, n__b, n__b) -> f(activate(n__b), b, n__b) with rule f(n__a, X, X) -> f(activate(X), b, n__b) at position [] and matcher [X / n__b]
2.79/1.26	
2.79/1.26	f(activate(n__b), b, n__b) -> f(b, b, n__b) with rule activate(n__b) -> b at position [0] and matcher [ ]
2.79/1.26	
2.79/1.26	f(b, b, n__b) -> f(a, b, n__b) with rule b -> a at position [0] and matcher [ ]
2.79/1.26	
2.79/1.26	f(a, b, n__b) -> f(n__a, b, n__b) with rule a -> n__a at position [0] and matcher [ ]
2.79/1.26	
2.79/1.26	f(n__a, b, n__b) -> f(n__a, n__b, n__b) with rule b -> n__b at position [1] and matcher [ ]
2.79/1.26	
2.79/1.26	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
2.79/1.26	
2.79/1.26	Context: []
2.79/1.26	
2.79/1.26	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.79/1.26	----------------------------------------
2.79/1.26	
2.79/1.26	(2)
2.79/1.26	NO
2.79/1.30	EOF