2.54/1.30	NO
2.54/1.30	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.54/1.30	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.54/1.30	
2.54/1.30	
2.54/1.30	Outermost Termination of the given OTRS could be disproven:
2.54/1.30	
2.54/1.30	(0) OTRS
2.54/1.30	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.54/1.30	(2) NO
2.54/1.30	
2.54/1.30	
2.54/1.30	----------------------------------------
2.54/1.30	
2.54/1.30	(0)
2.54/1.30	Obligation:
2.54/1.30	Term rewrite system R:
2.54/1.30	The TRS R consists of the following rules:
2.54/1.30	
2.54/1.30	   h(f(f(x))) -> h(f(g(f(x))))
2.54/1.30	   f(g(f(x))) -> f(f(x))
2.54/1.30	
2.54/1.30	
2.54/1.30	
2.54/1.30	Outermost Strategy.
2.54/1.30	
2.54/1.30	----------------------------------------
2.54/1.30	
2.54/1.30	(1) OutermostNonTerminationProof (COMPLETE)
2.54/1.30	Term rewrite system R:
2.54/1.30	The TRS R consists of the following rules:
2.54/1.30	
2.54/1.30	   h(f(f(x))) -> h(f(g(f(x))))
2.54/1.30	   f(g(f(x))) -> f(f(x))
2.54/1.30	
2.54/1.30	
2.54/1.30	
2.54/1.30	Outermost Strategy.
2.54/1.30	
2.54/1.30	---------- Loop: ----------
2.54/1.30	
2.54/1.30	h(f(g(f(x')))) -> h(f(f(x'))) with rule f(g(f(x''))) -> f(f(x'')) at position [0] and matcher [x'' / x']
2.54/1.30	
2.54/1.30	h(f(f(x'))) -> h(f(g(f(x')))) with rule h(f(f(x))) -> h(f(g(f(x)))) at position [] and matcher [x / x']
2.54/1.30	
2.54/1.30	Now an instance of the first term with Matcher [ ] occurs in the last term at position [].
2.54/1.30	
2.54/1.30	Context: []
2.54/1.30	
2.54/1.30	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.54/1.30	----------------------------------------
2.54/1.30	
2.54/1.30	(2)
2.54/1.30	NO
2.70/1.87	EOF