2.80/1.23	NO
2.80/1.24	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
2.80/1.24	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.80/1.24	
2.80/1.24	
2.80/1.24	Outermost Termination of the given OTRS could be disproven:
2.80/1.24	
2.80/1.24	(0) OTRS
2.80/1.24	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.80/1.24	(2) NO
2.80/1.24	
2.80/1.24	
2.80/1.24	----------------------------------------
2.80/1.24	
2.80/1.24	(0)
2.80/1.24	Obligation:
2.80/1.24	Term rewrite system R:
2.80/1.24	The TRS R consists of the following rules:
2.80/1.24	
2.80/1.24	   f(s(0), g(x)) -> f(x, g(x))
2.80/1.24	   g(s(x)) -> g(x)
2.80/1.24	
2.80/1.24	
2.80/1.24	
2.80/1.24	Outermost Strategy.
2.80/1.24	
2.80/1.24	----------------------------------------
2.80/1.24	
2.80/1.24	(1) OutermostNonTerminationProof (COMPLETE)
2.80/1.24	Term rewrite system R:
2.80/1.24	The TRS R consists of the following rules:
2.80/1.24	
2.80/1.24	   f(s(0), g(x)) -> f(x, g(x))
2.80/1.24	   g(s(x)) -> g(x)
2.80/1.24	
2.80/1.24	
2.80/1.24	
2.80/1.24	Outermost Strategy.
2.80/1.24	
2.80/1.24	---------- Loop: ----------
2.80/1.24	
2.80/1.24	f(s(0), g(s(0))) -> f(s(0), g(s(0))) with rule f(s(0), g(x)) -> f(x, g(x)) at position [] and matcher [x / s(0)]
2.80/1.24	
2.80/1.24	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
2.80/1.24	
2.80/1.24	Context: []
2.80/1.24	
2.80/1.24	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.80/1.24	----------------------------------------
2.80/1.24	
2.80/1.24	(2)
2.80/1.24	NO
2.80/1.27	EOF