14.59/4.62	NO
15.22/4.80	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
15.22/4.80	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
15.22/4.80	
15.22/4.80	
15.22/4.80	Termination w.r.t. Q of the given QTRS could be disproven:
15.22/4.80	
15.22/4.80	(0) QTRS
15.22/4.80	(1) NonTerminationProof [COMPLETE, 598 ms]
15.22/4.80	(2) NO
15.22/4.80	
15.22/4.80	
15.22/4.80	----------------------------------------
15.22/4.80	
15.22/4.80	(0)
15.22/4.80	Obligation:
15.22/4.80	Q restricted rewrite system:
15.22/4.80	The TRS R consists of the following rules:
15.22/4.80	
15.22/4.80	   a(x1) -> x1
15.22/4.80	   a(b(x1)) -> b(a(c(b(a(a(x1))))))
15.22/4.80	   b(x1) -> x1
15.22/4.80	   c(c(x1)) -> x1
15.22/4.80	
15.22/4.80	Q is empty.
15.22/4.80	
15.22/4.80	----------------------------------------
15.22/4.80	
15.22/4.80	(1) NonTerminationProof (COMPLETE)
15.22/4.80	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
15.22/4.80	
15.22/4.80	Found the self-embedding DerivationStructure: 
15.22/4.80	"a b b c b -> c a b b c b"
15.22/4.80	a b b c b -> c a b b c b
15.22/4.80	by OverlapClosure OC 3"a b b c b -> c a b b a c b
15.22/4.80	by OverlapClosure OC 2"a b b c -> c a b a
15.22/4.80	by OverlapClosure OC 3"a b b c -> c b a b a
15.22/4.80	by OverlapClosure OC 2"a b b -> c b a b a c
15.22/4.80	by OverlapClosure OC 2"a b b -> c b a b a c b
15.22/4.80	by OverlapClosure OC 2"a b -> c b a a
15.22/4.80	by OverlapClosure OC 3"a b -> b c b a a
15.22/4.80	by OverlapClosure OC 3"a b -> b a c b a a
15.22/4.80	by original rule (OC 1)""a -> 
15.22/4.80	by original rule (OC 1)"""b -> 
15.22/4.80	by original rule (OC 1)"""a b -> b a c b
15.22/4.80	by OverlapClosure OC 2"a b -> b a c b a
15.22/4.80	by OverlapClosure OC 2"a b -> b a c b a a
15.22/4.80	by original rule (OC 1)""a -> 
15.22/4.80	by original rule (OC 1)"""a -> 
15.22/4.80	by original rule (OC 1)""""b -> 
15.22/4.80	by original rule (OC 1)"""c c -> 
15.22/4.80	by original rule (OC 1)"""b -> 
15.22/4.80	by original rule (OC 1)"""a b -> b a c b
15.22/4.80	by OverlapClosure OC 2"a b -> b a c b a
15.22/4.80	by OverlapClosure OC 2"a b -> b a c b a a
15.22/4.80	by original rule (OC 1)""a -> 
15.22/4.80	by original rule (OC 1)"""a -> 
15.22/4.80	by original rule (OC 1)""""a -> 
15.22/4.80	by original rule (OC 1)"
15.22/4.80	
15.22/4.80	----------------------------------------
15.22/4.80	
15.22/4.80	(2)
15.22/4.80	NO
15.59/4.93	EOF