6.63/2.51	NO
6.63/2.60	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
6.63/2.60	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
6.63/2.60	
6.63/2.60	
6.63/2.60	Termination w.r.t. Q of the given QTRS could be disproven:
6.63/2.60	
6.63/2.60	(0) QTRS
6.63/2.60	(1) NonTerminationProof [COMPLETE, 379 ms]
6.63/2.60	(2) NO
6.63/2.60	
6.63/2.60	
6.63/2.60	----------------------------------------
6.63/2.60	
6.63/2.60	(0)
6.63/2.60	Obligation:
6.63/2.60	Q restricted rewrite system:
6.63/2.60	The TRS R consists of the following rules:
6.63/2.60	
6.63/2.60	   a(x1) -> x1
6.63/2.60	   a(x1) -> b(x1)
6.63/2.60	   a(b(x1)) -> b(a(c(a(x1))))
6.63/2.60	   b(x1) -> x1
6.63/2.60	   c(c(x1)) -> x1
6.63/2.60	
6.63/2.60	Q is empty.
6.63/2.60	
6.63/2.60	----------------------------------------
6.63/2.60	
6.63/2.60	(1) NonTerminationProof (COMPLETE)
6.63/2.60	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
6.63/2.60	
6.63/2.60	Found the self-embedding DerivationStructure: 
6.63/2.60	"a b b b c b -> a b b b c b"
6.63/2.60	a b b b c b -> a b b b c b
6.63/2.60	by OverlapClosure OC 2"a b b b c b -> a b b b c a
6.63/2.60	by OverlapClosure OC 2"a b b -> a a
6.63/2.60	by OverlapClosure OC 3"a b b -> a c c a
6.63/2.60	by OverlapClosure OC 3"a b b -> a c b c a
6.63/2.60	by OverlapClosure OC 2"a b -> a c a
6.63/2.60	by OverlapClosure OC 3"a b -> b a c a
6.63/2.60	by original rule (OC 1)""b -> 
6.63/2.60	by original rule (OC 1)"""a b -> b c a
6.63/2.60	by OverlapClosure OC 3"a b -> b a c a
6.63/2.60	by original rule (OC 1)""a -> 
6.63/2.60	by original rule (OC 1)""""b -> 
6.63/2.60	by original rule (OC 1)"""c c -> 
6.63/2.60	by original rule (OC 1)"""a b c b -> b b b c a
6.63/2.60	by OverlapClosure OC 2"a b c -> b a
6.63/2.60	by OverlapClosure OC 2"a b -> b a c
6.63/2.60	by OverlapClosure OC 2"a b -> b a c a
6.63/2.60	by original rule (OC 1)""a -> 
6.63/2.60	by original rule (OC 1)"""c c -> 
6.63/2.60	by original rule (OC 1)"""a b -> b b c a
6.63/2.60	by OverlapClosure OC 3"a b -> b a c a
6.63/2.60	by original rule (OC 1)""a -> b
6.63/2.60	by original rule (OC 1)"""""a -> b
6.63/2.60	by original rule (OC 1)"
6.63/2.60	
6.63/2.60	----------------------------------------
6.63/2.60	
6.63/2.60	(2)
6.63/2.60	NO
6.99/2.69	EOF