3.14/1.40	NO
3.14/1.41	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.14/1.41	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.14/1.41	
3.14/1.41	
3.14/1.41	Outermost Termination of the given OTRS could be disproven:
3.14/1.41	
3.14/1.41	(0) OTRS
3.14/1.41	(1) OutermostNonTerminationProof [COMPLETE, 32 ms]
3.14/1.41	(2) NO
3.14/1.41	
3.14/1.41	
3.14/1.41	----------------------------------------
3.14/1.41	
3.14/1.41	(0)
3.14/1.41	Obligation:
3.14/1.41	Term rewrite system R:
3.14/1.41	The TRS R consists of the following rules:
3.14/1.41	
3.14/1.41	   f(0, 1, g(x, y), z) -> f(g(x, y), g(x, y), g(x, y), h(x))
3.14/1.41	   g(0, 1) -> 0
3.14/1.41	   g(0, 1) -> 1
3.14/1.41	   h(g(x, y)) -> h(x)
3.14/1.41	
3.14/1.41	
3.14/1.41	
3.14/1.41	Outermost Strategy.
3.14/1.41	
3.14/1.41	----------------------------------------
3.14/1.41	
3.14/1.41	(1) OutermostNonTerminationProof (COMPLETE)
3.14/1.41	Term rewrite system R:
3.14/1.41	The TRS R consists of the following rules:
3.14/1.41	
3.14/1.41	   f(0, 1, g(x, y), z) -> f(g(x, y), g(x, y), g(x, y), h(x))
3.14/1.41	   g(0, 1) -> 0
3.14/1.41	   g(0, 1) -> 1
3.14/1.41	   h(g(x, y)) -> h(x)
3.14/1.41	
3.14/1.41	
3.14/1.41	
3.14/1.41	Outermost Strategy.
3.14/1.41	
3.14/1.41	---------- Loop: ----------
3.14/1.41	
3.14/1.41	f(g(0, 1), g(0, 1), g(0, 1), h(0)) -> f(g(0, 1), 1, g(0, 1), h(0)) with rule g(0, 1) -> 1 at position [1] and matcher [ ]
3.14/1.41	
3.14/1.41	f(g(0, 1), 1, g(0, 1), h(0)) -> f(0, 1, g(0, 1), h(0)) with rule g(0, 1) -> 0 at position [0] and matcher [ ]
3.14/1.41	
3.14/1.41	f(0, 1, g(0, 1), h(0)) -> f(g(0, 1), g(0, 1), g(0, 1), h(0)) with rule f(0, 1, g(x, y), z) -> f(g(x, y), g(x, y), g(x, y), h(x)) at position [] and matcher [x / 0, y / 1, z / h(0)]
3.14/1.41	
3.14/1.41	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
3.14/1.41	
3.14/1.41	Context: []
3.14/1.41	
3.14/1.41	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
3.14/1.41	----------------------------------------
3.14/1.41	
3.14/1.41	(2)
3.14/1.41	NO
3.14/1.45	EOF