2.62/1.23	NO
2.62/1.23	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.62/1.23	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.62/1.23	
2.62/1.23	
2.62/1.23	Outermost Termination of the given OTRS could be disproven:
2.62/1.23	
2.62/1.23	(0) OTRS
2.62/1.23	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.62/1.23	(2) NO
2.62/1.23	
2.62/1.23	
2.62/1.23	----------------------------------------
2.62/1.23	
2.62/1.23	(0)
2.62/1.23	Obligation:
2.62/1.23	Term rewrite system R:
2.62/1.23	The TRS R consists of the following rules:
2.62/1.23	
2.62/1.23	   a(b(x)) -> b(b(a(a(x))))
2.62/1.23	
2.62/1.23	
2.62/1.23	
2.62/1.23	Outermost Strategy.
2.62/1.23	
2.62/1.23	----------------------------------------
2.62/1.23	
2.62/1.23	(1) OutermostNonTerminationProof (COMPLETE)
2.62/1.23	Term rewrite system R:
2.62/1.23	The TRS R consists of the following rules:
2.62/1.23	
2.62/1.23	   a(b(x)) -> b(b(a(a(x))))
2.62/1.23	
2.62/1.23	
2.62/1.23	
2.62/1.23	Outermost Strategy.
2.62/1.23	
2.62/1.23	---------- Loop: ----------
2.62/1.23	
2.62/1.23	a(a(b(x'))) -> a(b(b(a(a(x'))))) with rule a(b(x'')) -> b(b(a(a(x'')))) at position [0] and matcher [x'' / x']
2.62/1.23	
2.62/1.23	a(b(b(a(a(x'))))) -> b(b(a(a(b(a(a(x'))))))) with rule a(b(x)) -> b(b(a(a(x)))) at position [] and matcher [x / b(a(a(x')))]
2.62/1.23	
2.62/1.23	Now an instance of the first term with Matcher [x' / a(a(x'))] occurs in the last term at position [0,0].
2.62/1.23	
2.62/1.23	Context: b(b([]))
2.62/1.23	
2.62/1.23	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.62/1.23	----------------------------------------
2.62/1.23	
2.62/1.23	(2)
2.62/1.23	NO
2.89/1.27	EOF