2.91/1.40	NO
2.91/1.41	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
2.91/1.41	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.91/1.41	
2.91/1.41	
2.91/1.41	Outermost Termination of the given OTRS could be disproven:
2.91/1.41	
2.91/1.41	(0) OTRS
2.91/1.41	(1) OutermostNonTerminationProof [COMPLETE, 69 ms]
2.91/1.41	(2) NO
2.91/1.41	
2.91/1.41	
2.91/1.41	----------------------------------------
2.91/1.41	
2.91/1.41	(0)
2.91/1.41	Obligation:
2.91/1.41	Term rewrite system R:
2.91/1.41	The TRS R consists of the following rules:
2.91/1.41	
2.91/1.41	   app(app(const, x), y) -> x
2.91/1.41	   app(app(app(subst, f), g), x) -> app(app(f, x), app(g, x))
2.91/1.41	   app(app(fix, f), x) -> app(app(f, app(fix, f)), x)
2.91/1.41	
2.91/1.41	
2.91/1.41	
2.91/1.41	Outermost Strategy.
2.91/1.41	
2.91/1.41	----------------------------------------
2.91/1.41	
2.91/1.41	(1) OutermostNonTerminationProof (COMPLETE)
2.91/1.41	Term rewrite system R:
2.91/1.41	The TRS R consists of the following rules:
2.91/1.41	
2.91/1.41	   app(app(const, x), y) -> x
2.91/1.41	   app(app(app(subst, f), g), x) -> app(app(f, x), app(g, x))
2.91/1.41	   app(app(fix, f), x) -> app(app(f, app(fix, f)), x)
2.91/1.41	
2.91/1.41	
2.91/1.41	
2.91/1.41	Outermost Strategy.
2.91/1.41	
2.91/1.41	---------- Loop: ----------
2.91/1.41	
2.91/1.41	app(app(app(fix, subst), x'), x) -> app(app(app(subst, app(fix, subst)), x'), x) with rule app(app(fix, f'), x'') -> app(app(f', app(fix, f')), x'') at position [0] and matcher [f' / subst, x'' / x']
2.91/1.41	
2.91/1.41	app(app(app(subst, app(fix, subst)), x'), x) -> app(app(app(fix, subst), x), app(x', x)) with rule app(app(app(subst, f), g), x'') -> app(app(f, x''), app(g, x'')) at position [] and matcher [f / app(fix, subst), g / x', x'' / x]
2.91/1.41	
2.91/1.41	Now an instance of the first term with Matcher [x' / x, x / app(x', x)] occurs in the last term at position [].
2.91/1.41	
2.91/1.41	Context: []
2.91/1.41	
2.91/1.41	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.91/1.41	----------------------------------------
2.91/1.41	
2.91/1.41	(2)
2.91/1.41	NO
2.91/1.45	EOF