3.77/2.11	NO
3.77/2.11	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.77/2.11	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.77/2.11	
3.77/2.11	
3.77/2.11	Outermost Termination of the given OTRS could be disproven:
3.77/2.11	
3.77/2.11	(0) OTRS
3.77/2.11	(1) OutermostNonTerminationProof [COMPLETE, 341 ms]
3.77/2.11	(2) NO
3.77/2.11	
3.77/2.11	
3.77/2.11	----------------------------------------
3.77/2.11	
3.77/2.11	(0)
3.77/2.11	Obligation:
3.77/2.11	Term rewrite system R:
3.77/2.11	The TRS R consists of the following rules:
3.77/2.11	
3.77/2.11	   h(X) -> g(X, X)
3.77/2.11	   g(a, X) -> f(b, activate(X))
3.77/2.11	   f(X, X) -> h(a)
3.77/2.11	   a -> b
3.77/2.11	   activate(X) -> X
3.77/2.11	
3.77/2.11	
3.77/2.11	
3.77/2.11	Outermost Strategy.
3.77/2.11	
3.77/2.11	----------------------------------------
3.77/2.11	
3.77/2.11	(1) OutermostNonTerminationProof (COMPLETE)
3.77/2.11	Term rewrite system R:
3.77/2.11	The TRS R consists of the following rules:
3.77/2.11	
3.77/2.11	   h(X) -> g(X, X)
3.77/2.11	   g(a, X) -> f(b, activate(X))
3.77/2.11	   f(X, X) -> h(a)
3.77/2.11	   a -> b
3.77/2.11	   activate(X) -> X
3.77/2.11	
3.77/2.11	
3.77/2.11	
3.77/2.11	Outermost Strategy.
3.77/2.11	
3.77/2.11	---------- Loop: ----------
3.77/2.11	
3.77/2.11	g(a, a) -> f(b, activate(a)) with rule g(a, X) -> f(b, activate(X)) at position [] and matcher [X / a]
3.77/2.11	
3.77/2.11	f(b, activate(a)) -> f(b, a) with rule activate(X) -> X at position [1] and matcher [X / a]
3.77/2.11	
3.77/2.11	f(b, a) -> f(b, b) with rule a -> b at position [1] and matcher [ ]
3.77/2.11	
3.77/2.11	f(b, b) -> h(a) with rule f(X, X) -> h(a) at position [] and matcher [X / b]
3.77/2.11	
3.77/2.11	h(a) -> g(a, a) with rule h(X) -> g(X, X) at position [] and matcher [X / a]
3.77/2.11	
3.77/2.11	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
3.77/2.11	
3.77/2.11	Context: []
3.77/2.11	
3.77/2.11	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
3.77/2.11	----------------------------------------
3.77/2.11	
3.77/2.11	(2)
3.77/2.11	NO
3.94/2.14	EOF