434.20/110.94	NO
434.33/110.97	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
434.33/110.97	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
434.33/110.97	
434.33/110.97	
434.33/110.97	Termination w.r.t. Q of the given QTRS could be disproven:
434.33/110.97	
434.33/110.97	(0) QTRS
434.33/110.97	(1) NonTerminationProof [COMPLETE, 24.4 s]
434.33/110.97	(2) NO
434.33/110.97	
434.33/110.97	
434.33/110.97	----------------------------------------
434.33/110.97	
434.33/110.97	(0)
434.33/110.97	Obligation:
434.33/110.97	Q restricted rewrite system:
434.33/110.97	The TRS R consists of the following rules:
434.33/110.97	
434.33/110.97	   a(a(b(x1))) -> a(b(c(a(a(x1)))))
434.33/110.97	   a(c(x1)) -> b(a(x1))
434.33/110.97	
434.33/110.97	Q is empty.
434.33/110.97	
434.33/110.97	----------------------------------------
434.33/110.97	
434.33/110.97	(1) NonTerminationProof (COMPLETE)
434.33/110.97	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
434.33/110.97	
434.33/110.97	Found the self-embedding DerivationStructure: 
434.33/110.97	"a a b a b c a b a b -> a b c a b c a b a b c a b c a b a a b a b c a b a b c a a a a a"
434.33/110.97	a a b a b c a b a b -> a b c a b c a b a b c a b c a b a a b a b c a b a b c a a a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b a b -> a b c a b c a b a b c a b c a b a a b a b c a b a a b a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b a b -> a b c a b c a b a b c a b c a b a a b a b c a a c a b a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b a b -> a b c a b c a b a b c a b c a b a a b a a b c a b a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b a b -> a b c a b c a b a b c a b c a b a a b a a b c a a c a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b a b -> a b c a b c a b a b c a b c a b a a b a a a b c a a
434.33/110.97	by OverlapClosure OC 2"a a b a b c a b -> a b c a b c a b a b c a b c a b a a b a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b -> a b c a b c a b a b c a b c a a c a b a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b -> a b c a b c a b a b c a a b c a b a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b -> a b c a b c a b a b c a a b c a a c a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c a b -> a b c a b c a b a b c a a a b c a a
434.33/110.97	by OverlapClosure OC 2"a a b a b c -> a b c a b c a b a b c a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b c -> a b c a b c a b a a b a
434.33/110.97	by OverlapClosure OC 2"a a b a b -> a b c a b c a b a a a
434.33/110.97	by OverlapClosure OC 3"a a b a b -> a b c a b c a a c a a
434.33/110.97	by OverlapClosure OC 3"a a b a b -> a b c a a b c a a
434.33/110.97	by OverlapClosure OC 2"a a b -> a b c a a
434.33/110.97	by original rule (OC 1)""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a c -> b a
434.33/110.97	by original rule (OC 1)"""a c -> b a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a c -> b a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a c -> b a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a c -> b a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"""a c -> b a
434.33/110.97	by original rule (OC 1)"""a a b -> a b c a a
434.33/110.97	by original rule (OC 1)"
434.33/110.97	
434.33/110.97	----------------------------------------
434.33/110.97	
434.33/110.97	(2)
434.33/110.97	NO
434.33/111.00	EOF