6.95/2.66	NO
7.07/2.70	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
7.07/2.70	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.07/2.70	
7.07/2.70	
7.07/2.70	Termination w.r.t. Q of the given QTRS could be disproven:
7.07/2.70	
7.07/2.70	(0) QTRS
7.07/2.70	(1) NonTerminationProof [COMPLETE, 347 ms]
7.07/2.70	(2) NO
7.07/2.70	
7.07/2.70	
7.07/2.70	----------------------------------------
7.07/2.70	
7.07/2.70	(0)
7.07/2.70	Obligation:
7.07/2.70	Q restricted rewrite system:
7.07/2.70	The TRS R consists of the following rules:
7.07/2.70	
7.07/2.70	   a(x1) -> x1
7.07/2.70	   a(b(x1)) -> b(c(a(a(x1))))
7.07/2.70	   b(c(x1)) -> x1
7.07/2.70	   c(c(x1)) -> b(x1)
7.07/2.70	
7.07/2.70	Q is empty.
7.07/2.70	
7.07/2.70	----------------------------------------
7.07/2.70	
7.07/2.70	(1) NonTerminationProof (COMPLETE)
7.07/2.70	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
7.07/2.70	
7.07/2.70	Found the self-embedding DerivationStructure: 
7.07/2.70	"a b b b b -> a b b b b a"
7.07/2.70	a b b b b -> a b b b b a
7.07/2.70	by OverlapClosure OC 3"a b b b b -> a b b b c c a
7.07/2.70	by OverlapClosure OC 3"a b b b b -> a b b b c a c a
7.07/2.70	by OverlapClosure OC 2"a b -> a a
7.07/2.70	by OverlapClosure OC 3"a b -> b c a a
7.07/2.70	by original rule (OC 1)""b c -> 
7.07/2.70	by original rule (OC 1)"""a b b b -> b b b c a c a
7.07/2.70	by OverlapClosure OC 3"a b b b -> b b a b c a
7.07/2.70	by OverlapClosure OC 3"a b b b -> b c c a b c a
7.07/2.70	by OverlapClosure OC 3"a b b b -> b c a c a b c a
7.07/2.70	by OverlapClosure OC 2"a b b -> b c a c a a
7.07/2.70	by OverlapClosure OC 3"a b b -> a b c a a
7.07/2.70	by OverlapClosure OC 2"a b -> a a
7.07/2.70	by OverlapClosure OC 3"a b -> b c a a
7.07/2.70	by original rule (OC 1)""b c -> 
7.07/2.70	by original rule (OC 1)"""a b -> b c a a
7.07/2.70	by original rule (OC 1)"""a b -> b c a
7.07/2.70	by OverlapClosure OC 2"a b -> b c a a
7.07/2.70	by original rule (OC 1)""a -> 
7.07/2.70	by original rule (OC 1)""""a b -> b c a
7.07/2.70	by OverlapClosure OC 2"a b -> b c a a
7.07/2.70	by original rule (OC 1)""a -> 
7.07/2.70	by original rule (OC 1)""""a -> 
7.07/2.70	by original rule (OC 1)"""c c -> b
7.07/2.70	by original rule (OC 1)"""a b -> b c a
7.07/2.70	by OverlapClosure OC 2"a b -> b c a a
7.07/2.70	by original rule (OC 1)""a -> 
7.07/2.70	by original rule (OC 1)"""""a -> 
7.07/2.70	by original rule (OC 1)"""c c -> b
7.07/2.70	by original rule (OC 1)"
7.07/2.70	
7.07/2.70	----------------------------------------
7.07/2.70	
7.07/2.70	(2)
7.07/2.70	NO
7.31/2.82	EOF