32.76/9.19	NO
33.59/9.42	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
33.59/9.42	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
33.59/9.42	
33.59/9.42	
33.59/9.42	Termination w.r.t. Q of the given QTRS could be disproven:
33.59/9.42	
33.59/9.42	(0) QTRS
33.59/9.42	(1) NonTerminationProof [COMPLETE, 1806 ms]
33.59/9.42	(2) NO
33.59/9.42	
33.59/9.42	
33.59/9.42	----------------------------------------
33.59/9.42	
33.59/9.42	(0)
33.59/9.42	Obligation:
33.59/9.42	Q restricted rewrite system:
33.59/9.42	The TRS R consists of the following rules:
33.59/9.42	
33.59/9.42	   a(a(a(x1))) -> a(b(x1))
33.59/9.42	   b(c(x1)) -> c(c(a(a(a(x1)))))
33.59/9.42	
33.59/9.42	Q is empty.
33.59/9.42	
33.59/9.42	----------------------------------------
33.59/9.42	
33.59/9.42	(1) NonTerminationProof (COMPLETE)
33.59/9.42	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
33.59/9.42	
33.59/9.42	Found the self-embedding DerivationStructure: 
33.59/9.42	"b c a a c c a c c -> c c a c c a c c a a c c a b c a a c c a c c a b"
33.59/9.42	b c a a c c a c c -> c c a c c a c c a a c c a b c a a c c a c c a b
33.59/9.42	by OverlapClosure OC 2"b c a a c c a c -> c c a c c a c c a a c c a b c a a c c a b
33.59/9.42	by OverlapClosure OC 2"b c a a c c a -> c c a c c a c c a a c c a b c a a b
33.59/9.42	by OverlapClosure OC 3"b c a a c c a -> c c a c c a c c a a b c c a a b
33.59/9.42	by OverlapClosure OC 2"b c a a c -> c c a c c a c c a a b b
33.59/9.42	by OverlapClosure OC 3"b c a a c -> c c a c c a b c a b
33.59/9.42	by OverlapClosure OC 3"b c a a c -> c c a b c c a b
33.59/9.42	by OverlapClosure OC 2"b c a a -> c c a b b
33.59/9.42	by OverlapClosure OC 3"b c a a -> c c a a a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)"""a a a -> a b
33.59/9.42	by original rule (OC 1)"""b c -> c c a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)""""b c -> c c a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)""""b c a -> c c a a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)""""b c a -> c c a a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)""""b c -> c c a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)""""b c -> c c a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)""""b c -> c c a b
33.59/9.42	by OverlapClosure OC 2"b c -> c c a a a
33.59/9.42	by original rule (OC 1)""a a a -> a b
33.59/9.42	by original rule (OC 1)""
33.59/9.42	
33.59/9.42	----------------------------------------
33.59/9.42	
33.59/9.42	(2)
33.59/9.42	NO
33.71/11.23	EOF