3.56/1.65	NO
3.56/1.66	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.56/1.66	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.56/1.66	
3.56/1.66	
3.56/1.66	Termination w.r.t. Q of the given QTRS could be disproven:
3.56/1.66	
3.56/1.66	(0) QTRS
3.56/1.66	(1) NonTerminationProof [COMPLETE, 0 ms]
3.56/1.66	(2) NO
3.56/1.66	
3.56/1.66	
3.56/1.66	----------------------------------------
3.56/1.66	
3.56/1.66	(0)
3.56/1.66	Obligation:
3.56/1.66	Q restricted rewrite system:
3.56/1.66	The TRS R consists of the following rules:
3.56/1.66	
3.56/1.66	   b(a(a(x1))) -> a(x1)
3.56/1.66	   a(a(a(x1))) -> b(b(b(x1)))
3.56/1.66	   b(b(x1)) -> a(b(a(x1)))
3.56/1.66	
3.56/1.66	Q is empty.
3.56/1.66	
3.56/1.66	----------------------------------------
3.56/1.66	
3.56/1.66	(1) NonTerminationProof (COMPLETE)
3.56/1.66	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.56/1.66	
3.56/1.66	Found the self-embedding DerivationStructure: 
3.56/1.66	"b b a a -> b b a a"
3.56/1.66	b b a a -> b b a a
3.56/1.66	by OverlapClosure OC 2"b b a a -> b b a b a a
3.56/1.66	by OverlapClosure OC 3"b b a a -> b b b b a
3.56/1.66	by OverlapClosure OC 3"b b a a -> a a a b a
3.56/1.66	by OverlapClosure OC 3"b b a a -> a b b a b a
3.56/1.66	by OverlapClosure OC 2"b b -> a b a
3.56/1.66	by original rule (OC 1)""a a a -> b a b a
3.56/1.66	by OverlapClosure OC 2"a a a -> b b b
3.56/1.66	by original rule (OC 1)""b b -> a b a
3.56/1.66	by original rule (OC 1)""""b b a -> a a
3.56/1.66	by OverlapClosure OC 2"b b -> a b a
3.56/1.66	by original rule (OC 1)""b a a -> a
3.56/1.66	by original rule (OC 1)""""a a a -> b b b
3.56/1.66	by original rule (OC 1)"""b b -> a b a
3.56/1.66	by original rule (OC 1)"""b a a -> a
3.56/1.66	by original rule (OC 1)"
3.56/1.66	
3.56/1.66	----------------------------------------
3.56/1.66	
3.56/1.66	(2)
3.56/1.66	NO
3.67/1.70	EOF