159.65/41.47	NO
160.12/41.57	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
160.12/41.57	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
160.12/41.57	
160.12/41.57	
160.12/41.57	Termination w.r.t. Q of the given QTRS could be disproven:
160.12/41.57	
160.12/41.57	(0) QTRS
160.12/41.57	(1) NonTerminationProof [COMPLETE, 5846 ms]
160.12/41.57	(2) NO
160.12/41.57	
160.12/41.57	
160.12/41.57	----------------------------------------
160.12/41.57	
160.12/41.57	(0)
160.12/41.57	Obligation:
160.12/41.57	Q restricted rewrite system:
160.12/41.57	The TRS R consists of the following rules:
160.12/41.57	
160.12/41.57	   b(b(a(b(x1)))) -> a(a(a(a(x1))))
160.12/41.57	   a(b(a(a(x1)))) -> a(b(b(b(x1))))
160.12/41.57	   a(b(a(a(x1)))) -> b(a(b(b(x1))))
160.12/41.57	
160.12/41.57	Q is empty.
160.12/41.57	
160.12/41.57	----------------------------------------
160.12/41.57	
160.12/41.57	(1) NonTerminationProof (COMPLETE)
160.12/41.57	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
160.12/41.57	
160.12/41.57	Found the self-embedding DerivationStructure: 
160.12/41.57	"a b a a a b b a a b a b b a a a b b b -> a b a a a b b a a b a b b a a a b b b"
160.12/41.57	a b a a a b b a a b a b b a a a b b b -> a b a a a b b a a b a b b a a a b b b
160.12/41.57	by OverlapClosure OC 2"a b a a a b -> a b a a a a
160.12/41.57	by OverlapClosure OC 2"a b a a -> a b b b
160.12/41.57	by original rule (OC 1)""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a b a b b a a a b b b -> b b a a b a b b a a a b b b
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b a a a b a a a a a b b b
160.12/41.57	by OverlapClosure OC 2"a b a a b a b b a a a b b b -> b b a a a b a a a a a b a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b a a a b a b b a b b a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b a a a a b a a a b b a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b b a b b a a a b b a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b a b a a a a a b b a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b a b b b a b a b b a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b a b b b a a b a a a a
160.12/41.57	by OverlapClosure OC 2"a b a a b a b b a a a b b -> b b b a b b b a a b b b a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b b b a a b a a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b a a a a b a a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b b b a b b a a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b b a b a a a a a
160.12/41.57	by OverlapClosure OC 2"a b a a b a b b a a a b -> b b b a b b a b a b b a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b -> b b b a b b a a b a a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b -> b b a b a a a a b a a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b -> b b a b b b a b b a a a
160.12/41.57	by OverlapClosure OC 3"a b a a b a b b a a a b -> b a b a a b a b b a a a
160.12/41.57	by OverlapClosure OC 2"a b a a -> b a b b
160.12/41.57	by original rule (OC 1)""b b a b b a a a b -> a a b a b b a a a
160.12/41.57	by OverlapClosure OC 3"b b a b b a a a b -> a a a b a a a a a
160.12/41.57	by OverlapClosure OC 2"b b a b -> a a a a
160.12/41.57	by original rule (OC 1)""a b a a a b -> b a a a a a
160.12/41.57	by OverlapClosure OC 2"a b a a -> b a b b
160.12/41.57	by original rule (OC 1)""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)""""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)""""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)"""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)"""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)"""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)"""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a -> a b b b
160.12/41.57	by original rule (OC 1)"""a b a a -> a b b b
160.12/41.57	by original rule (OC 1)"""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)"""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)"""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)"""b b a b -> a a a a
160.12/41.57	by original rule (OC 1)"""a b a a -> a b b b
160.12/41.57	by original rule (OC 1)"""a b a a -> b a b b
160.12/41.57	by original rule (OC 1)""
160.12/41.57	
160.12/41.57	----------------------------------------
160.12/41.57	
160.12/41.57	(2)
160.12/41.57	NO
160.40/41.61	EOF