2.33/1.26	NO
2.33/1.28	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.33/1.28	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.33/1.28	
2.33/1.28	
2.33/1.28	Outermost Termination of the given OTRS could be disproven:
2.33/1.28	
2.33/1.28	(0) OTRS
2.33/1.28	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.33/1.28	(2) NO
2.33/1.28	
2.33/1.28	
2.33/1.28	----------------------------------------
2.33/1.28	
2.33/1.28	(0)
2.33/1.28	Obligation:
2.33/1.28	Term rewrite system R:
2.33/1.28	The TRS R consists of the following rules:
2.33/1.28	
2.33/1.28	   ap(ap(g, x), y) -> y
2.33/1.28	   ap(f, x) -> ap(f, app(g, x))
2.33/1.28	
2.33/1.28	
2.33/1.28	
2.33/1.28	Outermost Strategy.
2.33/1.28	
2.33/1.28	----------------------------------------
2.33/1.28	
2.33/1.28	(1) OutermostNonTerminationProof (COMPLETE)
2.33/1.28	Term rewrite system R:
2.33/1.28	The TRS R consists of the following rules:
2.33/1.28	
2.33/1.28	   ap(ap(g, x), y) -> y
2.33/1.28	   ap(f, x) -> ap(f, app(g, x))
2.33/1.28	
2.33/1.28	
2.33/1.28	
2.33/1.28	Outermost Strategy.
2.33/1.28	
2.33/1.28	---------- Loop: ----------
2.33/1.28	
2.33/1.28	ap(f, x) -> ap(f, app(g, x)) with rule ap(f, x') -> ap(f, app(g, x')) at position [] and matcher [x' / x]
2.33/1.28	
2.33/1.28	Now an instance of the first term with Matcher [x / app(g, x)] occurs in the last term at position [].
2.33/1.28	
2.33/1.28	Context: []
2.33/1.28	
2.33/1.28	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.33/1.28	----------------------------------------
2.33/1.28	
2.33/1.28	(2)
2.33/1.28	NO
2.33/1.31	EOF