234.03/60.33	NO
234.03/60.34	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
234.03/60.34	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
234.03/60.34	
234.03/60.34	
234.03/60.34	Termination w.r.t. Q of the given QTRS could be disproven:
234.03/60.34	
234.03/60.34	(0) QTRS
234.03/60.34	(1) NonTerminationProof [COMPLETE, 8350 ms]
234.03/60.34	(2) NO
234.03/60.34	
234.03/60.34	
234.03/60.34	----------------------------------------
234.03/60.34	
234.03/60.34	(0)
234.03/60.34	Obligation:
234.03/60.34	Q restricted rewrite system:
234.03/60.34	The TRS R consists of the following rules:
234.03/60.34	
234.03/60.34	   a(x1) -> x1
234.03/60.34	   a(a(b(x1))) -> b(a(b(a(x1))))
234.03/60.34	   b(b(b(x1))) -> a(x1)
234.03/60.34	
234.03/60.34	Q is empty.
234.03/60.34	
234.03/60.34	----------------------------------------
234.03/60.34	
234.03/60.34	(1) NonTerminationProof (COMPLETE)
234.03/60.34	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
234.03/60.34	
234.03/60.34	Found the self-embedding DerivationStructure: 
234.03/60.34	"a a b a b a b a b a b a b -> a a b a b a b a b a b a b a"
234.03/60.34	a a b a b a b a b a b a b -> a a b a b a b a b a b a b a
234.03/60.34	by OverlapClosure OC 2"a a b a b a b a b a b -> a a b a b a b a b a a
234.03/60.34	by OverlapClosure OC 3"a a b a b a b a b a b -> a a b a b a a a b a
234.03/60.34	by OverlapClosure OC 3"a a b a b a b a b a b -> a a a a b a a b a
234.03/60.34	by OverlapClosure OC 3"a a b a b a b a b a b -> a a b b b a b a a b a
234.03/60.34	by OverlapClosure OC 3"a a b a b a b a b a b -> a a b b a a b a b a
234.03/60.34	by OverlapClosure OC 2"a a b a b a b a b -> a a b b a a a
234.03/60.34	by OverlapClosure OC 2"a a b a b -> a a b a
234.03/60.34	by OverlapClosure OC 3"a a b a b -> b b b a b a
234.03/60.34	by OverlapClosure OC 2"a a b -> b b a
234.03/60.34	by OverlapClosure OC 3"a a b -> b a b a
234.03/60.34	by original rule (OC 1)""a -> 
234.03/60.34	by original rule (OC 1)"""a a b -> b a b a
234.03/60.34	by original rule (OC 1)"""b b b -> a
234.03/60.34	by original rule (OC 1)"""a a b a b -> b a a a
234.03/60.34	by OverlapClosure OC 3"a a b a b -> b a b b b a
234.03/60.34	by OverlapClosure OC 2"a a b -> b a b a
234.03/60.34	by original rule (OC 1)""a a b -> b b a
234.03/60.34	by OverlapClosure OC 3"a a b -> b a b a
234.03/60.34	by original rule (OC 1)""a -> 
234.03/60.34	by original rule (OC 1)""""b b b -> a
234.03/60.34	by original rule (OC 1)""""a a b -> b a b a
234.03/60.34	by original rule (OC 1)"""a a b -> b a b a
234.03/60.34	by original rule (OC 1)"""b b b -> a
234.03/60.34	by original rule (OC 1)"""a a b -> b a b a
234.03/60.34	by original rule (OC 1)"""a a b -> b a b a
234.03/60.34	by original rule (OC 1)"""a a b -> b a b a
234.03/60.34	by original rule (OC 1)"
234.03/60.34	
234.03/60.34	----------------------------------------
234.03/60.34	
234.03/60.34	(2)
234.03/60.34	NO
234.03/60.37	EOF