2.68/1.27	NO
2.68/1.28	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
2.68/1.28	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.68/1.28	
2.68/1.28	
2.68/1.28	Outermost Termination of the given OTRS could be disproven:
2.68/1.28	
2.68/1.28	(0) OTRS
2.68/1.28	(1) OutermostNonTerminationProof [COMPLETE, 0 ms]
2.68/1.28	(2) NO
2.68/1.28	
2.68/1.28	
2.68/1.28	----------------------------------------
2.68/1.28	
2.68/1.28	(0)
2.68/1.28	Obligation:
2.68/1.28	Term rewrite system R:
2.68/1.28	The TRS R consists of the following rules:
2.68/1.28	
2.68/1.28	   a(b(a(b(x)))) -> b(a(b(a(a(b(x))))))
2.68/1.28	
2.68/1.28	
2.68/1.28	
2.68/1.28	Outermost Strategy.
2.68/1.28	
2.68/1.28	----------------------------------------
2.68/1.28	
2.68/1.28	(1) OutermostNonTerminationProof (COMPLETE)
2.68/1.28	Term rewrite system R:
2.68/1.28	The TRS R consists of the following rules:
2.68/1.28	
2.68/1.28	   a(b(a(b(x)))) -> b(a(b(a(a(b(x))))))
2.68/1.28	
2.68/1.28	
2.68/1.28	
2.68/1.28	Outermost Strategy.
2.68/1.28	
2.68/1.28	---------- Loop: ----------
2.68/1.28	
2.68/1.28	a(b(a(a(b(a(b(x'))))))) -> a(b(a(b(a(b(a(a(b(x'))))))))) with rule a(b(a(b(x'')))) -> b(a(b(a(a(b(x'')))))) at position [0,0,0] and matcher [x'' / x']
2.68/1.28	
2.68/1.28	a(b(a(b(a(b(a(a(b(x'))))))))) -> b(a(b(a(a(b(a(b(a(a(b(x'))))))))))) with rule a(b(a(b(x)))) -> b(a(b(a(a(b(x)))))) at position [] and matcher [x / a(b(a(a(b(x')))))]
2.68/1.28	
2.68/1.28	Now an instance of the first term with Matcher [x' / a(a(b(x')))] occurs in the last term at position [0].
2.68/1.28	
2.68/1.28	Context: b([])
2.68/1.28	
2.68/1.28	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
2.68/1.28	----------------------------------------
2.68/1.28	
2.68/1.28	(2)
2.68/1.28	NO
2.68/1.31	EOF