5.21/2.13	NO
5.27/2.17	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
5.27/2.17	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.27/2.17	
5.27/2.17	
5.27/2.17	Termination w.r.t. Q of the given QTRS could be disproven:
5.27/2.17	
5.27/2.17	(0) QTRS
5.27/2.17	(1) NonTerminationProof [COMPLETE, 136 ms]
5.27/2.17	(2) NO
5.27/2.17	
5.27/2.17	
5.27/2.17	----------------------------------------
5.27/2.17	
5.27/2.17	(0)
5.27/2.17	Obligation:
5.27/2.17	Q restricted rewrite system:
5.27/2.17	The TRS R consists of the following rules:
5.27/2.17	
5.27/2.17	   a(x1) -> x1
5.27/2.17	   a(b(x1)) -> b(c(a(a(x1))))
5.27/2.17	   c(b(x1)) -> x1
5.27/2.17	   c(c(x1)) -> b(x1)
5.27/2.17	
5.27/2.17	Q is empty.
5.27/2.17	
5.27/2.17	----------------------------------------
5.27/2.17	
5.27/2.17	(1) NonTerminationProof (COMPLETE)
5.27/2.17	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
5.27/2.17	
5.27/2.17	Found the self-embedding DerivationStructure: 
5.27/2.17	"a b b b b -> b c a b b b b a"
5.27/2.17	a b b b b -> b c a b b b b a
5.27/2.17	by OverlapClosure OC 3"a b b b b -> b c a b b b c c a
5.27/2.17	by OverlapClosure OC 3"a b b b b -> b c a b b b c a c a
5.27/2.17	by OverlapClosure OC 2"a b -> b c a a
5.27/2.17	by original rule (OC 1)""a b b b -> b b b c a c a
5.27/2.17	by OverlapClosure OC 3"a b b b -> b c c b c a c a
5.27/2.17	by OverlapClosure OC 3"a b b b -> b c c a b c a
5.27/2.17	by OverlapClosure OC 3"a b b b -> b c b c c a b c a
5.27/2.17	by OverlapClosure OC 3"a b b b -> b c b c a c a b c a
5.27/2.17	by OverlapClosure OC 2"a b b -> b c b c a c a a
5.27/2.17	by OverlapClosure OC 3"a b b -> b c a b c a a
5.27/2.17	by OverlapClosure OC 2"a b -> b c a a
5.27/2.17	by original rule (OC 1)""a b -> b c a a
5.27/2.17	by original rule (OC 1)"""a b -> b c a
5.27/2.17	by OverlapClosure OC 2"a b -> b c a a
5.27/2.17	by original rule (OC 1)""a -> 
5.27/2.17	by original rule (OC 1)""""a b -> b c a
5.27/2.17	by OverlapClosure OC 2"a b -> b c a a
5.27/2.17	by original rule (OC 1)""a -> 
5.27/2.17	by original rule (OC 1)""""a -> 
5.27/2.17	by original rule (OC 1)"""c b -> 
5.27/2.17	by original rule (OC 1)"""a b -> b c a
5.27/2.17	by OverlapClosure OC 2"a b -> b c a a
5.27/2.17	by original rule (OC 1)""a -> 
5.27/2.17	by original rule (OC 1)""""c c -> b
5.27/2.17	by original rule (OC 1)""""a -> 
5.27/2.17	by original rule (OC 1)"""c c -> b
5.27/2.17	by original rule (OC 1)"
5.27/2.17	
5.27/2.17	----------------------------------------
5.27/2.17	
5.27/2.17	(2)
5.27/2.17	NO
5.27/2.21	EOF