3.54/1.78	NO
3.63/1.80	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.63/1.80	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.63/1.80	
3.63/1.80	
3.63/1.80	Termination w.r.t. Q of the given QTRS could be disproven:
3.63/1.80	
3.63/1.80	(0) QTRS
3.63/1.80	(1) NonTerminationProof [COMPLETE, 54 ms]
3.63/1.80	(2) NO
3.63/1.80	
3.63/1.80	
3.63/1.80	----------------------------------------
3.63/1.80	
3.63/1.80	(0)
3.63/1.80	Obligation:
3.63/1.80	Q restricted rewrite system:
3.63/1.80	The TRS R consists of the following rules:
3.63/1.80	
3.63/1.80	   a(a(a(a(x1)))) -> b(a(a(a(x1))))
3.63/1.80	   b(b(x1)) -> a(a(b(x1)))
3.63/1.80	
3.63/1.80	Q is empty.
3.63/1.80	
3.63/1.80	----------------------------------------
3.63/1.80	
3.63/1.80	(1) NonTerminationProof (COMPLETE)
3.63/1.80	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.63/1.80	
3.63/1.80	Found the self-embedding DerivationStructure: 
3.63/1.80	"b b b b b -> b b b b b a a a b"
3.63/1.80	b b b b b -> b b b b b a a a b
3.63/1.80	by OverlapClosure OC 3"b b b b b -> b b b b a a a a b
3.63/1.80	by OverlapClosure OC 3"b b b b b -> b b b a a a a a b
3.63/1.80	by OverlapClosure OC 2"b b b b -> b b b a a a b
3.63/1.80	by OverlapClosure OC 3"b b b b -> b b a a a a b
3.63/1.80	by OverlapClosure OC 3"b b b b -> b a a a a a b
3.63/1.80	by OverlapClosure OC 2"b b b -> b a a a b
3.63/1.80	by OverlapClosure OC 3"b b b -> a a a a b
3.63/1.80	by OverlapClosure OC 2"b b -> a a b
3.63/1.80	by original rule (OC 1)""b b -> a a b
3.63/1.80	by original rule (OC 1)"""a a a a -> b a a a
3.63/1.80	by original rule (OC 1)"""b b -> a a b
3.63/1.80	by original rule (OC 1)"""a a a a -> b a a a
3.63/1.80	by original rule (OC 1)"""a a a a -> b a a a
3.63/1.80	by original rule (OC 1)"""b b -> a a b
3.63/1.80	by original rule (OC 1)"""a a a a -> b a a a
3.63/1.80	by original rule (OC 1)"""a a a a -> b a a a
3.63/1.80	by original rule (OC 1)"
3.63/1.80	
3.63/1.80	----------------------------------------
3.63/1.80	
3.63/1.80	(2)
3.63/1.80	NO
3.72/1.83	EOF