3.26/1.61	NO
3.26/1.61	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.26/1.61	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.26/1.61	
3.26/1.61	
3.26/1.61	Termination w.r.t. Q of the given QTRS could be disproven:
3.26/1.61	
3.26/1.61	(0) QTRS
3.26/1.61	(1) NonTerminationProof [COMPLETE, 13 ms]
3.26/1.61	(2) NO
3.26/1.61	
3.26/1.61	
3.26/1.61	----------------------------------------
3.26/1.61	
3.26/1.61	(0)
3.26/1.61	Obligation:
3.26/1.61	Q restricted rewrite system:
3.26/1.61	The TRS R consists of the following rules:
3.26/1.61	
3.26/1.61	   a(a(a(x1))) -> b(a(b(x1)))
3.26/1.61	   b(a(b(x1))) -> a(b(a(x1)))
3.26/1.61	
3.26/1.61	Q is empty.
3.26/1.61	
3.26/1.61	----------------------------------------
3.26/1.61	
3.26/1.61	(1) NonTerminationProof (COMPLETE)
3.26/1.61	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.26/1.61	
3.26/1.61	Found the self-embedding DerivationStructure: 
3.26/1.61	"a a a b a a -> a a a b a a"
3.26/1.61	a a a b a a -> a a a b a a
3.26/1.61	by OverlapClosure OC 2"a a a -> a b a
3.26/1.61	by OverlapClosure OC 2"a a a -> b a b
3.26/1.61	by original rule (OC 1)""b a b -> a b a
3.26/1.61	by original rule (OC 1)"""b a b a a -> a a b a a
3.26/1.61	by OverlapClosure OC 3"b a b a a -> a b a b a
3.26/1.61	by OverlapClosure OC 2"b a b -> a b a
3.26/1.61	by original rule (OC 1)""a a a -> a b a
3.26/1.61	by OverlapClosure OC 2"a a a -> b a b
3.26/1.61	by original rule (OC 1)""b a b -> a b a
3.26/1.61	by original rule (OC 1)""""b a b -> a b a
3.26/1.61	by original rule (OC 1)""
3.26/1.61	
3.26/1.61	----------------------------------------
3.26/1.61	
3.26/1.61	(2)
3.26/1.61	NO
3.26/1.64	EOF