5.74/2.19	NO
5.74/2.24	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
5.74/2.24	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.74/2.24	
5.74/2.24	
5.74/2.24	Termination w.r.t. Q of the given QTRS could be disproven:
5.74/2.24	
5.74/2.24	(0) QTRS
5.74/2.24	(1) NonTerminationProof [COMPLETE, 283 ms]
5.74/2.24	(2) NO
5.74/2.24	
5.74/2.24	
5.74/2.24	----------------------------------------
5.74/2.24	
5.74/2.24	(0)
5.74/2.24	Obligation:
5.74/2.24	Q restricted rewrite system:
5.74/2.24	The TRS R consists of the following rules:
5.74/2.24	
5.74/2.24	   a(x1) -> x1
5.74/2.24	   a(b(x1)) -> b(c(x1))
5.74/2.24	   c(c(x1)) -> b(a(c(a(a(x1)))))
5.74/2.24	
5.74/2.24	Q is empty.
5.74/2.24	
5.74/2.24	----------------------------------------
5.74/2.24	
5.74/2.24	(1) NonTerminationProof (COMPLETE)
5.74/2.24	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
5.74/2.24	
5.74/2.24	Found the self-embedding DerivationStructure: 
5.74/2.24	"a b c c b c -> b b b b c a b c c b c a"
5.74/2.24	a b c c b c -> b b b b c a b c c b c a
5.74/2.24	by OverlapClosure OC 3"a b c c b c -> b b b b c a b c c b a c a
5.74/2.24	by OverlapClosure OC 2"a b c c b -> b b b b c a b c c c
5.74/2.24	by OverlapClosure OC 3"a b c c b -> b b b b c a a b c c
5.74/2.24	by OverlapClosure OC 3"a b c c b -> b b b c c b c c
5.74/2.24	by OverlapClosure OC 3"a b c c b -> b b a b c b c c
5.74/2.24	by OverlapClosure OC 2"a b c -> b b a c
5.74/2.24	by OverlapClosure OC 2"a b c -> b b a c a
5.74/2.24	by OverlapClosure OC 2"a b -> b c
5.74/2.24	by original rule (OC 1)""c c -> b a c a
5.74/2.24	by OverlapClosure OC 2"c c -> b a c a a
5.74/2.24	by original rule (OC 1)""a -> 
5.74/2.24	by original rule (OC 1)""""a -> 
5.74/2.24	by original rule (OC 1)"""c c b -> b c b c c
5.74/2.24	by OverlapClosure OC 3"c c b -> b c a b c
5.74/2.24	by OverlapClosure OC 2"c c -> b c a a
5.74/2.24	by OverlapClosure OC 3"c c -> b a c a a
5.74/2.24	by original rule (OC 1)""a -> 
5.74/2.24	by original rule (OC 1)"""a b -> b c
5.74/2.24	by original rule (OC 1)"""a b -> b c
5.74/2.24	by original rule (OC 1)""""a b -> b c
5.74/2.24	by original rule (OC 1)"""c c -> b c a a
5.74/2.24	by OverlapClosure OC 3"c c -> b a c a a
5.74/2.24	by original rule (OC 1)""a -> 
5.74/2.24	by original rule (OC 1)""""a b -> b c
5.74/2.24	by original rule (OC 1)"""c c -> b a c a
5.74/2.24	by OverlapClosure OC 2"c c -> b a c a a
5.74/2.24	by original rule (OC 1)""a -> 
5.74/2.24	by original rule (OC 1)""""a -> 
5.74/2.24	by original rule (OC 1)"
5.74/2.24	
5.74/2.24	----------------------------------------
5.74/2.24	
5.74/2.24	(2)
5.74/2.24	NO
6.02/2.30	EOF