300.43/77.16	NO
300.63/77.18	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
300.63/77.18	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
300.63/77.18	
300.63/77.18	
300.63/77.18	Termination w.r.t. Q of the given QTRS could be disproven:
300.63/77.18	
300.63/77.18	(0) QTRS
300.63/77.18	(1) NonTerminationProof [COMPLETE, 13.1 s]
300.63/77.18	(2) NO
300.63/77.18	
300.63/77.18	
300.63/77.18	----------------------------------------
300.63/77.18	
300.63/77.18	(0)
300.63/77.18	Obligation:
300.63/77.18	Q restricted rewrite system:
300.63/77.18	The TRS R consists of the following rules:
300.63/77.18	
300.63/77.18	   a(x1) -> x1
300.63/77.18	   a(a(x1)) -> b(a(b(c(x1))))
300.63/77.18	   c(x1) -> x1
300.63/77.18	   c(b(x1)) -> a(c(x1))
300.63/77.18	
300.63/77.18	Q is empty.
300.63/77.18	
300.63/77.18	----------------------------------------
300.63/77.18	
300.63/77.18	(1) NonTerminationProof (COMPLETE)
300.63/77.18	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
300.63/77.18	
300.63/77.18	Found the self-embedding DerivationStructure: 
300.63/77.18	"c b b b b b a b -> b b c b b b b b a b c"
300.63/77.18	c b b b b b a b -> b b c b b b b b a b c
300.63/77.18	by OverlapClosure OC 2"c b b b b b a b -> b b c b b b b a a
300.63/77.18	by OverlapClosure OC 2"c b b -> b b c c
300.63/77.18	by OverlapClosure OC 3"c b b -> b a b c c
300.63/77.18	by OverlapClosure OC 3"c b b -> a a c
300.63/77.18	by OverlapClosure OC 2"c b -> a c
300.63/77.18	by original rule (OC 1)""c b -> a c
300.63/77.18	by original rule (OC 1)"""a a -> b a b c
300.63/77.18	by original rule (OC 1)"""a -> 
300.63/77.18	by original rule (OC 1)"""c b b b a b -> b b b b a a
300.63/77.18	by OverlapClosure OC 2"c b b b a -> b b b b a c
300.63/77.18	by OverlapClosure OC 3"c b b b a -> b b b a b a c
300.63/77.18	by OverlapClosure OC 2"c b b b a -> b b b a b c b
300.63/77.18	by OverlapClosure OC 3"c b b b a -> b b a a b
300.63/77.18	by OverlapClosure OC 3"c b b b a -> b b a c a b
300.63/77.18	by OverlapClosure OC 3"c b b b a -> b b c b a b
300.63/77.18	by OverlapClosure OC 2"c b b -> b b c c
300.63/77.18	by OverlapClosure OC 3"c b b -> b a b c c
300.63/77.18	by OverlapClosure OC 3"c b b -> a a c
300.63/77.18	by OverlapClosure OC 2"c b -> a c
300.63/77.18	by original rule (OC 1)""c b -> a c
300.63/77.18	by original rule (OC 1)"""a a -> b a b c
300.63/77.18	by original rule (OC 1)"""a -> 
300.63/77.18	by original rule (OC 1)"""c b a -> b a b
300.63/77.18	by OverlapClosure OC 2"c b -> a
300.63/77.18	by OverlapClosure OC 2"c b -> a c
300.63/77.18	by original rule (OC 1)""c -> 
300.63/77.18	by original rule (OC 1)"""a a -> b a b
300.63/77.18	by OverlapClosure OC 2"a a -> b a b c
300.63/77.18	by original rule (OC 1)""c -> 
300.63/77.18	by original rule (OC 1)"""""c b -> a c
300.63/77.18	by original rule (OC 1)"""c -> 
300.63/77.18	by original rule (OC 1)"""a a -> b a b c
300.63/77.18	by original rule (OC 1)"""c b -> a c
300.63/77.18	by original rule (OC 1)"""a -> 
300.63/77.18	by original rule (OC 1)"""c b -> a
300.63/77.18	by OverlapClosure OC 2"c b -> a c
300.63/77.18	by original rule (OC 1)""c -> 
300.63/77.18	by original rule (OC 1)"""""a a -> b a b c
300.63/77.18	by original rule (OC 1)"
300.63/77.18	
300.63/77.18	----------------------------------------
300.63/77.18	
300.63/77.18	(2)
300.63/77.18	NO
300.63/77.22	EOF