503.58/128.75	NO
503.83/128.79	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
503.83/128.79	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
503.83/128.79	
503.83/128.79	
503.83/128.79	Termination w.r.t. Q of the given QTRS could be disproven:
503.83/128.79	
503.83/128.79	(0) QTRS
503.83/128.79	(1) NonTerminationProof [COMPLETE, 17.7 s]
503.83/128.79	(2) NO
503.83/128.79	
503.83/128.79	
503.83/128.79	----------------------------------------
503.83/128.79	
503.83/128.79	(0)
503.83/128.79	Obligation:
503.83/128.79	Q restricted rewrite system:
503.83/128.79	The TRS R consists of the following rules:
503.83/128.79	
503.83/128.79	   a(x1) -> x1
503.83/128.79	   a(b(x1)) -> b(b(c(a(c(x1)))))
503.83/128.79	   c(c(x1)) -> b(a(x1))
503.83/128.79	
503.83/128.79	Q is empty.
503.83/128.79	
503.83/128.79	----------------------------------------
503.83/128.79	
503.83/128.79	(1) NonTerminationProof (COMPLETE)
503.83/128.79	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
503.83/128.79	
503.83/128.79	Found the self-embedding DerivationStructure: 
503.83/128.79	"a b c b b c -> b b c b b b b b b b b b b b b b b b a b c b b c a c"
503.83/128.79	a b c b b c -> b b c b b b b b b b b b b b b b b b a b c b b c a c
503.83/128.79	by OverlapClosure OC 2"a b c b b c -> b b c b b b b b b b b b b b b b b b a b c a b
503.83/128.79	by OverlapClosure OC 3"a b c b b c -> b b c b b b b b b b b b b b b b b c c b c a b
503.83/128.79	by OverlapClosure OC 2"a b c b b -> b b c b b b b b b b b b b b b b b c c b c a c
503.83/128.79	by OverlapClosure OC 3"a b c b b -> b b c b b b b b b b b b b b b b b c a c b c a c
503.83/128.79	by OverlapClosure OC 3"a b c b b -> b b c b b b b b b b b b b b b a b b c a c
503.83/128.79	by OverlapClosure OC 2"a b c b -> b b c b b b b b b b b b b b b a a
503.83/128.79	by OverlapClosure OC 3"a b c b -> b b c b b b b b b b b b a b a
503.83/128.79	by OverlapClosure OC 3"a b c b -> b b c b b b b b b a b b a
503.83/128.79	by OverlapClosure OC 3"a b c b -> b b c b b b a b b b a
503.83/128.79	by OverlapClosure OC 3"a b c b -> b b c b b c c b b b a
503.83/128.79	by OverlapClosure OC 2"a b c b -> b b c b b c c b b c c
503.83/128.79	by OverlapClosure OC 2"a b c -> b b c b b c c a
503.83/128.79	by OverlapClosure OC 3"a b c -> b b c b b c a c a
503.83/128.79	by OverlapClosure OC 3"a b c -> b b c a b a
503.83/128.79	by OverlapClosure OC 2"a b -> b b c a c
503.83/128.79	by original rule (OC 1)""c c -> b a
503.83/128.79	by original rule (OC 1)"""a b -> b b c a c
503.83/128.79	by original rule (OC 1)"""a -> 
503.83/128.79	by original rule (OC 1)"""a b -> b b c c
503.83/128.79	by OverlapClosure OC 3"a b -> b b c a c
503.83/128.79	by original rule (OC 1)""a -> 
503.83/128.79	by original rule (OC 1)""""c c -> b a
503.83/128.79	by original rule (OC 1)"""c c -> b a
503.83/128.79	by original rule (OC 1)"""a b -> b b b a
503.83/128.79	by OverlapClosure OC 2"a b -> b b c c
503.83/128.79	by OverlapClosure OC 3"a b -> b b c a c
503.83/128.79	by original rule (OC 1)""a -> 
503.83/128.79	by original rule (OC 1)"""c c -> b a
503.83/128.79	by original rule (OC 1)""""a b -> b b b a
503.83/128.79	by OverlapClosure OC 2"a b -> b b c c
503.83/128.79	by OverlapClosure OC 3"a b -> b b c a c
503.83/128.79	by original rule (OC 1)""a -> 
503.83/128.79	by original rule (OC 1)"""c c -> b a
503.83/128.79	by original rule (OC 1)""""a b -> b b b a
503.83/128.79	by OverlapClosure OC 2"a b -> b b c c
503.83/128.79	by OverlapClosure OC 3"a b -> b b c a c
503.83/128.79	by original rule (OC 1)""a -> 
503.83/128.79	by original rule (OC 1)"""c c -> b a
503.83/128.79	by original rule (OC 1)""""a b -> b b c a c
503.83/128.79	by original rule (OC 1)"""a b -> b b c a c
503.83/128.79	by original rule (OC 1)"""a -> 
503.83/128.79	by original rule (OC 1)"""c c -> b
503.83/128.79	by OverlapClosure OC 2"c c -> b a
503.83/128.79	by original rule (OC 1)""a -> 
503.83/128.79	by original rule (OC 1)""""c c -> b a
503.83/128.79	by original rule (OC 1)"""a b -> b b c a c
503.83/128.79	by original rule (OC 1)"
503.83/128.79	
503.83/128.79	----------------------------------------
503.83/128.79	
503.83/128.79	(2)
503.83/128.79	NO
504.19/128.89	EOF