4.57/1.90	NO
4.57/1.92	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
4.57/1.92	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.57/1.92	
4.57/1.92	
4.57/1.92	Termination w.r.t. Q of the given QTRS could be disproven:
4.57/1.92	
4.57/1.92	(0) QTRS
4.57/1.92	(1) NonTerminationProof [COMPLETE, 154 ms]
4.57/1.92	(2) NO
4.57/1.92	
4.57/1.92	
4.57/1.92	----------------------------------------
4.57/1.92	
4.57/1.92	(0)
4.57/1.92	Obligation:
4.57/1.92	Q restricted rewrite system:
4.57/1.92	The TRS R consists of the following rules:
4.57/1.92	
4.57/1.92	   a(x1) -> x1
4.57/1.92	   a(b(x1)) -> x1
4.57/1.92	   a(b(x1)) -> b(c(a(a(x1))))
4.57/1.92	   c(c(x1)) -> b(x1)
4.57/1.92	
4.57/1.92	Q is empty.
4.57/1.92	
4.57/1.92	----------------------------------------
4.57/1.92	
4.57/1.92	(1) NonTerminationProof (COMPLETE)
4.57/1.92	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
4.57/1.92	
4.57/1.92	Found the self-embedding DerivationStructure: 
4.57/1.92	"a b b b b -> b c a b b b b"
4.57/1.92	a b b b b -> b c a b b b b
4.57/1.92	by OverlapClosure OC 2"a b b b b -> b c a b b b c c
4.57/1.92	by OverlapClosure OC 3"a b b b b -> b c a b b b c a c
4.57/1.92	by OverlapClosure OC 2"a b -> b c a a
4.57/1.92	by original rule (OC 1)""a b b b -> b b b c a c
4.57/1.92	by OverlapClosure OC 3"a b b b -> b b a b c
4.57/1.92	by OverlapClosure OC 3"a b b b -> b c c a b c
4.57/1.92	by OverlapClosure OC 2"a b b b -> b c c a b c a
4.57/1.92	by OverlapClosure OC 2"a b b -> b c c a a
4.57/1.92	by OverlapClosure OC 3"a b b -> b c a b c a a
4.57/1.92	by OverlapClosure OC 2"a b -> b c a a
4.57/1.92	by original rule (OC 1)""a b -> b c a a
4.57/1.92	by original rule (OC 1)"""a b -> 
4.57/1.92	by original rule (OC 1)"""a b -> b c a
4.57/1.92	by OverlapClosure OC 2"a b -> b c a a
4.57/1.92	by original rule (OC 1)""a -> 
4.57/1.92	by original rule (OC 1)""""a -> 
4.57/1.92	by original rule (OC 1)"""c c -> b
4.57/1.92	by original rule (OC 1)"""a b -> b c a
4.57/1.92	by OverlapClosure OC 2"a b -> b c a a
4.57/1.92	by original rule (OC 1)""a -> 
4.57/1.92	by original rule (OC 1)"""""a -> 
4.57/1.92	by original rule (OC 1)"""c c -> b
4.57/1.92	by original rule (OC 1)"
4.57/1.92	
4.57/1.92	----------------------------------------
4.57/1.92	
4.57/1.92	(2)
4.57/1.92	NO
4.77/1.99	EOF