7.26/2.74	NO
7.26/2.77	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
7.26/2.77	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.26/2.77	
7.26/2.77	
7.26/2.77	Termination w.r.t. Q of the given QTRS could be disproven:
7.26/2.77	
7.26/2.77	(0) QTRS
7.26/2.77	(1) NonTerminationProof [COMPLETE, 552 ms]
7.26/2.77	(2) NO
7.26/2.77	
7.26/2.77	
7.26/2.77	----------------------------------------
7.26/2.77	
7.26/2.77	(0)
7.26/2.77	Obligation:
7.26/2.77	Q restricted rewrite system:
7.26/2.77	The TRS R consists of the following rules:
7.26/2.77	
7.26/2.77	   a(a(b(x1))) -> b(c(b(a(a(a(x1))))))
7.26/2.77	   a(c(x1)) -> b(x1)
7.26/2.77	
7.26/2.77	Q is empty.
7.26/2.77	
7.26/2.77	----------------------------------------
7.26/2.77	
7.26/2.77	(1) NonTerminationProof (COMPLETE)
7.26/2.77	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
7.26/2.77	
7.26/2.77	Found the self-embedding DerivationStructure: 
7.26/2.77	"a a b a b c b -> b c b b c b b c b a b c b a b c b b c b a a a b a b c b a a a"
7.26/2.77	a a b a b c b -> b c b b c b b c b a b c b a b c b b c b a a a b a b c b a a a
7.26/2.77	by OverlapClosure OC 2"a a b a b c -> b c b b c b b c b a b c b a b c b b c b a a a b a a a
7.26/2.77	by OverlapClosure OC 3"a a b a b c -> b c b b c b b c b a b c b a b c b a a b b a a a
7.26/2.77	by OverlapClosure OC 3"a a b a b c -> b c b b c b b c b a b c b a a a b c b a a a
7.26/2.77	by OverlapClosure OC 3"a a b a b c -> b c b b c b b c b a a a b b c b a a a
7.26/2.77	by OverlapClosure OC 3"a a b a b c -> b c b b c b a a b b b c b a a a
7.26/2.77	by OverlapClosure OC 2"a a b a b c -> b c b b c b a a b b a a b
7.26/2.77	by OverlapClosure OC 3"a a b a b c -> b c b a a b c b a a b
7.26/2.77	by OverlapClosure OC 2"a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)""a a b c -> b c b a a b
7.26/2.77	by OverlapClosure OC 2"a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)""a c -> b
7.26/2.77	by original rule (OC 1)""""a a b c -> b c b a a b
7.26/2.77	by OverlapClosure OC 2"a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)""a c -> b
7.26/2.77	by original rule (OC 1)""""a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)"""a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)"""a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)"""a a b c -> b c b a a b
7.26/2.77	by OverlapClosure OC 2"a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)""a c -> b
7.26/2.77	by original rule (OC 1)""""a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)"""a a b -> b c b a a a
7.26/2.77	by original rule (OC 1)"
7.26/2.77	
7.26/2.77	----------------------------------------
7.26/2.77	
7.26/2.77	(2)
7.26/2.77	NO
7.81/2.91	EOF