1098.52/279.65	NO
1099.86/279.97	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
1099.86/279.97	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
1099.86/279.97	
1099.86/279.97	
1099.86/279.97	Termination w.r.t. Q of the given QTRS could be disproven:
1099.86/279.97	
1099.86/279.97	(0) QTRS
1099.86/279.97	(1) NonTerminationProof [COMPLETE, 45.0 s]
1099.86/279.97	(2) NO
1099.86/279.97	
1099.86/279.97	
1099.86/279.97	----------------------------------------
1099.86/279.97	
1099.86/279.97	(0)
1099.86/279.97	Obligation:
1099.86/279.97	Q restricted rewrite system:
1099.86/279.97	The TRS R consists of the following rules:
1099.86/279.97	
1099.86/279.97	   a(x1) -> x1
1099.86/279.97	   a(b(x1)) -> b(b(a(c(a(x1)))))
1099.86/279.97	   c(c(b(x1))) -> a(x1)
1099.86/279.97	
1099.86/279.97	Q is empty.
1099.86/279.97	
1099.86/279.97	----------------------------------------
1099.86/279.97	
1099.86/279.97	(1) NonTerminationProof (COMPLETE)
1099.86/279.97	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
1099.86/279.97	
1099.86/279.97	Found the self-embedding DerivationStructure: 
1099.86/279.97	"a b c b b b b c b b -> b b b b c b b a b c b b b b c b b a c a c"
1099.86/279.97	a b c b b b b c b b -> b b b b c b b a b c b b b b c b b a c a c
1099.86/279.97	by OverlapClosure OC 3"a b c b b b b c b b -> b b b b c b b a b c b b b b c a b c
1099.86/279.97	by OverlapClosure OC 2"a b c b b b -> b b b b c b b a b c a
1099.86/279.97	by OverlapClosure OC 3"a b c b b b -> b b b b c b b c c b b c a
1099.86/279.97	by OverlapClosure OC 2"a b c b b -> b b b b c b b c c a
1099.86/279.97	by OverlapClosure OC 3"a b c b b -> b b b b c a b c a
1099.86/279.97	by OverlapClosure OC 3"a b c b b -> b b b b a c a b c a
1099.86/279.97	by OverlapClosure OC 3"a b c b b -> b b a b b c a
1099.86/279.97	by OverlapClosure OC 2"a b -> b b a c
1099.86/279.97	by OverlapClosure OC 2"a b -> b b a c a
1099.86/279.97	by original rule (OC 1)""a -> 
1099.86/279.97	by original rule (OC 1)"""c c b b -> b b c a
1099.86/279.97	by OverlapClosure OC 2"c c b -> a
1099.86/279.97	by original rule (OC 1)""a b -> b b c a
1099.86/279.97	by OverlapClosure OC 3"a b -> b b a c a
1099.86/279.97	by original rule (OC 1)""a -> 
1099.86/279.97	by original rule (OC 1)"""""a b -> b b a c a
1099.86/279.97	by original rule (OC 1)"""a -> 
1099.86/279.97	by original rule (OC 1)"""a b -> b b c
1099.86/279.97	by OverlapClosure OC 3"a b -> b b a c
1099.86/279.97	by OverlapClosure OC 2"a b -> b b a c a
1099.86/279.97	by original rule (OC 1)""a -> 
1099.86/279.97	by original rule (OC 1)"""a -> 
1099.86/279.97	by original rule (OC 1)""""a b -> b b c a
1099.86/279.97	by OverlapClosure OC 3"a b -> b b a c a
1099.86/279.97	by original rule (OC 1)""a -> 
1099.86/279.97	by original rule (OC 1)""""c c b -> a
1099.86/279.97	by original rule (OC 1)"""a b c b b -> b b b b c a b c
1099.86/279.97	by OverlapClosure OC 3"a b c b b -> b b b b a c a b c
1099.86/279.97	by OverlapClosure OC 3"a b c b b -> b b a b b c
1099.86/279.97	by OverlapClosure OC 2"a b -> b b a c
1099.86/279.97	by OverlapClosure OC 2"a b -> b b a c a
1099.86/279.97	by original rule (OC 1)""a -> 
1099.86/279.97	by original rule (OC 1)"""c c b b -> b b c
1099.86/279.97	by OverlapClosure OC 3"c c b b -> b b a c
1099.86/279.97	by OverlapClosure OC 2"c c b -> a
1099.86/279.97	by original rule (OC 1)""a b -> b b a c
1099.86/279.97	by OverlapClosure OC 2"a b -> b b a c a
1099.86/279.97	by original rule (OC 1)""a -> 
1099.86/279.97	by original rule (OC 1)""""a -> 
1099.86/279.97	by original rule (OC 1)""""a b -> b b a c a
1099.86/279.97	by original rule (OC 1)"""a -> 
1099.86/279.97	by original rule (OC 1)""""a b -> b b a c a
1099.86/279.97	by original rule (OC 1)"
1099.86/279.97	
1099.86/279.97	----------------------------------------
1099.86/279.97	
1099.86/279.97	(2)
1099.86/279.97	NO
1100.17/280.04	EOF