4.13/1.79	NO
4.13/1.80	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
4.13/1.80	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.13/1.80	
4.13/1.80	
4.13/1.80	Termination w.r.t. Q of the given QTRS could be disproven:
4.13/1.80	
4.13/1.80	(0) QTRS
4.13/1.80	(1) NonTerminationProof [COMPLETE, 66 ms]
4.13/1.80	(2) NO
4.13/1.80	
4.13/1.80	
4.13/1.80	----------------------------------------
4.13/1.80	
4.13/1.80	(0)
4.13/1.80	Obligation:
4.13/1.80	Q restricted rewrite system:
4.13/1.80	The TRS R consists of the following rules:
4.13/1.80	
4.13/1.80	   a(x1) -> x1
4.13/1.80	   a(b(x1)) -> b(c(a(a(x1))))
4.13/1.80	   b(x1) -> a(x1)
4.13/1.80	   c(c(x1)) -> b(x1)
4.13/1.80	
4.13/1.80	Q is empty.
4.13/1.80	
4.13/1.80	----------------------------------------
4.13/1.80	
4.13/1.80	(1) NonTerminationProof (COMPLETE)
4.13/1.80	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
4.13/1.80	
4.13/1.80	Found the self-embedding DerivationStructure: 
4.13/1.80	"a b b c -> a b b c a a"
4.13/1.80	a b b c -> a b b c a a
4.13/1.80	by OverlapClosure OC 2"a b b c -> a b a b
4.13/1.80	by OverlapClosure OC 2"a b b -> a b a c
4.13/1.80	by OverlapClosure OC 3"a b b -> b b a c
4.13/1.80	by OverlapClosure OC 3"a b b -> b c c a c
4.13/1.80	by OverlapClosure OC 3"a b b -> b c b c a c
4.13/1.80	by OverlapClosure OC 3"a b b -> b c b c a a c
4.13/1.80	by OverlapClosure OC 3"a b b -> b c a b c
4.13/1.80	by OverlapClosure OC 2"a b -> b c a a
4.13/1.80	by original rule (OC 1)""a b -> b c
4.13/1.80	by OverlapClosure OC 2"a b -> b c a
4.13/1.80	by OverlapClosure OC 2"a b -> b c a a
4.13/1.80	by original rule (OC 1)""a -> 
4.13/1.80	by original rule (OC 1)"""a -> 
4.13/1.80	by original rule (OC 1)""""a b -> b c a a
4.13/1.80	by original rule (OC 1)"""a -> 
4.13/1.80	by original rule (OC 1)"""b -> 
4.13/1.80	by OverlapClosure OC 2"b -> a
4.13/1.80	by original rule (OC 1)""a -> 
4.13/1.80	by original rule (OC 1)""""c c -> b
4.13/1.80	by original rule (OC 1)"""b -> a
4.13/1.80	by original rule (OC 1)"""c c -> b
4.13/1.80	by original rule (OC 1)"""a b -> b c a a
4.13/1.80	by original rule (OC 1)"
4.13/1.80	
4.13/1.80	----------------------------------------
4.13/1.80	
4.13/1.80	(2)
4.13/1.80	NO
4.29/1.83	EOF