344.01/88.02	NO
344.01/88.05	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
344.01/88.05	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
344.01/88.05	
344.01/88.05	
344.01/88.05	Termination w.r.t. Q of the given QTRS could be disproven:
344.01/88.05	
344.01/88.05	(0) QTRS
344.01/88.05	(1) NonTerminationProof [COMPLETE, 16.7 s]
344.01/88.05	(2) NO
344.01/88.05	
344.01/88.05	
344.01/88.05	----------------------------------------
344.01/88.05	
344.01/88.05	(0)
344.01/88.05	Obligation:
344.01/88.05	Q restricted rewrite system:
344.01/88.05	The TRS R consists of the following rules:
344.01/88.05	
344.01/88.05	   a(x1) -> b(x1)
344.01/88.05	   b(b(a(c(x1)))) -> a(c(c(a(b(a(x1))))))
344.01/88.05	
344.01/88.05	Q is empty.
344.01/88.05	
344.01/88.05	----------------------------------------
344.01/88.05	
344.01/88.05	(1) NonTerminationProof (COMPLETE)
344.01/88.05	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
344.01/88.05	
344.01/88.05	Found the self-embedding DerivationStructure: 
344.01/88.05	"b b a c b a c c a c c -> a c c a c c a c c a a c c b b a c b a c c a c c a b a"
344.01/88.05	b b a c b a c c a c c -> a c c a c c a c c a a c c b b a c b a c c a c c a b a
344.01/88.05	by OverlapClosure OC 2"b b a c b a c c a c -> a c c a c c a c c a a c c b b a c b a c c b b a
344.01/88.05	by OverlapClosure OC 3"b b a c b a c c a c -> a c c a c c a c c a a c c b b a c b a c c a b a
344.01/88.05	by OverlapClosure OC 2"b b a c b a c c -> a c c a c c a c c a a c c b b a c b b b
344.01/88.05	by OverlapClosure OC 3"b b a c b a c c -> a c c a c c a c c a a c c a b a c b b b
344.01/88.05	by OverlapClosure OC 3"b b a c b a c c -> a c c a c c a c c a b b a c c b b b
344.01/88.05	by OverlapClosure OC 3"b b a c b a c c -> a c c a c c a c c a b a a c c b b b
344.01/88.05	by OverlapClosure OC 3"b b a c b a c c -> a c c a c c b b a c a c c b b b
344.01/88.05	by OverlapClosure OC 3"b b a c b a c c -> a c c a c c a b a c a c c b b b
344.01/88.05	by OverlapClosure OC 3"b b a c b a c c -> a c c b b a c c a c c b b b
344.01/88.05	by OverlapClosure OC 2"b b a c -> a c c b b a
344.01/88.05	by OverlapClosure OC 3"b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)""a -> b
344.01/88.05	by original rule (OC 1)"""a b a c c -> a c c a c c b b b
344.01/88.05	by OverlapClosure OC 2"a -> b
344.01/88.05	by original rule (OC 1)""b b a c c -> a c c a c c b b b
344.01/88.05	by OverlapClosure OC 3"b b a c c -> a c c a c c a b b
344.01/88.05	by OverlapClosure OC 2"b b a c c -> a c c a c c a b a
344.01/88.05	by OverlapClosure OC 2"b b a c -> a c c b b a
344.01/88.05	by OverlapClosure OC 3"b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)""a -> b
344.01/88.05	by original rule (OC 1)"""b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)"""a -> b
344.01/88.05	by original rule (OC 1)"""a -> b
344.01/88.05	by original rule (OC 1)"""""b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)"""a -> b
344.01/88.05	by original rule (OC 1)"""b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)"""a -> b
344.01/88.05	by original rule (OC 1)"""b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)"""a -> b
344.01/88.05	by original rule (OC 1)"""b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)"""a -> b
344.01/88.05	by original rule (OC 1)"""b b a c -> a c c a b a
344.01/88.05	by original rule (OC 1)"
344.01/88.05	
344.01/88.05	----------------------------------------
344.01/88.05	
344.01/88.05	(2)
344.01/88.05	NO
344.49/88.14	EOF