473.07/118.92	NO
473.56/118.99	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
473.56/118.99	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
473.56/118.99	
473.56/118.99	
473.56/118.99	Termination w.r.t. Q of the given QTRS could be disproven:
473.56/118.99	
473.56/118.99	(0) QTRS
473.56/118.99	(1) NonTerminationProof [COMPLETE, 19.4 s]
473.56/118.99	(2) NO
473.56/118.99	
473.56/118.99	
473.56/118.99	----------------------------------------
473.56/118.99	
473.56/118.99	(0)
473.56/118.99	Obligation:
473.56/118.99	Q restricted rewrite system:
473.56/118.99	The TRS R consists of the following rules:
473.56/118.99	
473.56/118.99	   a(x1) -> x1
473.56/118.99	   a(a(x1)) -> b(c(x1))
473.56/118.99	   b(x1) -> x1
473.56/118.99	   c(x1) -> x1
473.56/118.99	   c(b(x1)) -> b(a(c(x1)))
473.56/118.99	
473.56/118.99	Q is empty.
473.56/118.99	
473.56/118.99	----------------------------------------
473.56/118.99	
473.56/118.99	(1) NonTerminationProof (COMPLETE)
473.56/118.99	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
473.56/118.99	
473.56/118.99	Found the self-embedding DerivationStructure: 
473.56/118.99	"c b b b b b b -> c b b b b b b c"
473.56/118.99	c b b b b b b -> c b b b b b b c
473.56/118.99	by OverlapClosure OC 2"c b b b b b b -> c b b b b b a a
473.56/118.99	by OverlapClosure OC 2"c b b -> c c
473.56/118.99	by OverlapClosure OC 3"c b b -> b c c
473.56/118.99	by OverlapClosure OC 3"c b b -> a a c
473.56/118.99	by OverlapClosure OC 2"c b -> a c
473.56/118.99	by OverlapClosure OC 3"c b -> b a c
473.56/118.99	by original rule (OC 1)""b -> 
473.56/118.99	by original rule (OC 1)"""c b -> a c
473.56/118.99	by OverlapClosure OC 3"c b -> b a c
473.56/118.99	by original rule (OC 1)""b -> 
473.56/118.99	by original rule (OC 1)""""a a -> b c
473.56/118.99	by original rule (OC 1)"""b -> 
473.56/118.99	by original rule (OC 1)"""c b b b b -> b b b b b a a
473.56/118.99	by OverlapClosure OC 3"c b b b b -> b b b b b a c a
473.56/118.99	by OverlapClosure OC 3"c b b b b -> b b b b c b a
473.56/118.99	by OverlapClosure OC 3"c b b b b -> b b b a a b a
473.56/118.99	by OverlapClosure OC 2"c b b b -> b b b a a c
473.56/118.99	by OverlapClosure OC 3"c b b b -> b b b a c a c
473.56/118.99	by OverlapClosure OC 3"c b b b -> b b c b a c
473.56/118.99	by OverlapClosure OC 2"c b b -> b b c c
473.56/118.99	by OverlapClosure OC 3"c b b -> b a a c
473.56/118.99	by OverlapClosure OC 2"c b -> b a c
473.56/118.99	by original rule (OC 1)""c b -> a c
473.56/118.99	by OverlapClosure OC 3"c b -> b a c
473.56/118.99	by original rule (OC 1)""b -> 
473.56/118.99	by original rule (OC 1)""""a a -> b c
473.56/118.99	by original rule (OC 1)"""c b -> b a c
473.56/118.99	by original rule (OC 1)"""c b -> b a c
473.56/118.99	by original rule (OC 1)"""c -> 
473.56/118.99	by original rule (OC 1)"""c b -> b a
473.56/118.99	by OverlapClosure OC 2"c b -> b a c
473.56/118.99	by original rule (OC 1)""c -> 
473.56/118.99	by original rule (OC 1)""""a a -> b c
473.56/118.99	by original rule (OC 1)"""c b -> b a c
473.56/118.99	by original rule (OC 1)"""c -> 
473.56/118.99	by original rule (OC 1)""""a a -> b c
473.56/118.99	by original rule (OC 1)"
473.56/118.99	
473.56/118.99	----------------------------------------
473.56/118.99	
473.56/118.99	(2)
473.56/118.99	NO
473.64/119.04	EOF