2.95/1.37	NO
3.21/1.39	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.21/1.39	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.21/1.39	
3.21/1.39	
3.21/1.39	Outermost Termination of the given OTRS could be disproven:
3.21/1.39	
3.21/1.39	(0) OTRS
3.21/1.39	(1) OutermostNonTerminationProof [COMPLETE, 77 ms]
3.21/1.39	(2) NO
3.21/1.39	
3.21/1.39	
3.21/1.39	----------------------------------------
3.21/1.39	
3.21/1.39	(0)
3.21/1.39	Obligation:
3.21/1.39	Term rewrite system R:
3.21/1.39	The TRS R consists of the following rules:
3.21/1.39	
3.21/1.39	   f(n__a, n__b, X) -> f(X, X, X)
3.21/1.39	   c -> a
3.21/1.39	   c -> b
3.21/1.39	   a -> n__a
3.21/1.39	   b -> n__b
3.21/1.39	   activate(n__a) -> a
3.21/1.39	   activate(n__b) -> b
3.21/1.39	   activate(X) -> X
3.21/1.39	
3.21/1.39	
3.21/1.39	
3.21/1.39	Outermost Strategy.
3.21/1.39	
3.21/1.39	----------------------------------------
3.21/1.39	
3.21/1.39	(1) OutermostNonTerminationProof (COMPLETE)
3.21/1.39	Term rewrite system R:
3.21/1.39	The TRS R consists of the following rules:
3.21/1.39	
3.21/1.39	   f(n__a, n__b, X) -> f(X, X, X)
3.21/1.39	   c -> a
3.21/1.39	   c -> b
3.21/1.39	   a -> n__a
3.21/1.39	   b -> n__b
3.21/1.39	   activate(n__a) -> a
3.21/1.39	   activate(n__b) -> b
3.21/1.39	   activate(X) -> X
3.21/1.39	
3.21/1.39	
3.21/1.39	
3.21/1.39	Outermost Strategy.
3.21/1.39	
3.21/1.39	---------- Loop: ----------
3.21/1.39	
3.21/1.39	f(c, c, c) -> f(c, b, c) with rule c -> b at position [1] and matcher [ ]
3.21/1.39	
3.21/1.39	f(c, b, c) -> f(c, n__b, c) with rule b -> n__b at position [1] and matcher [ ]
3.21/1.39	
3.21/1.39	f(c, n__b, c) -> f(a, n__b, c) with rule c -> a at position [0] and matcher [ ]
3.21/1.39	
3.21/1.39	f(a, n__b, c) -> f(n__a, n__b, c) with rule a -> n__a at position [0] and matcher [ ]
3.21/1.39	
3.21/1.39	f(n__a, n__b, c) -> f(c, c, c) with rule f(n__a, n__b, X) -> f(X, X, X) at position [] and matcher [X / c]
3.21/1.39	
3.21/1.39	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
3.21/1.39	
3.21/1.39	Context: []
3.21/1.39	
3.21/1.39	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
3.21/1.39	----------------------------------------
3.21/1.39	
3.21/1.39	(2)
3.21/1.39	NO
3.21/1.44	EOF