NO
proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


Termination w.r.t. Q of the given QTRS could be disproven:

(0) QTRS
(1) NonTerminationProof [COMPLETE, 37 ms]
(2) NO


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(0)
Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:

   a(a(a(a(x1)))) -> b(a(a(a(x1))))
   b(b(x1)) -> a(a(b(x1)))

Q is empty.

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(1) NonTerminationProof (COMPLETE)
We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.

Found the self-embedding DerivationStructure: 
"b b b b b -> b b b b b a a a b"
b b b b b -> b b b b b a a a b
by OverlapClosure OC 3"b b b b b -> b b b b a a a a b
by OverlapClosure OC 3"b b b b b -> b b b a a a a a b
by OverlapClosure OC 2"b b b b -> b b b a a a b
by OverlapClosure OC 3"b b b b -> b b a a a a b
by OverlapClosure OC 3"b b b b -> b a a a a a b
by OverlapClosure OC 2"b b b -> b a a a b
by OverlapClosure OC 3"b b b -> a a a a b
by OverlapClosure OC 2"b b -> a a b
by original rule (OC 1)""b b -> a a b
by original rule (OC 1)"""a a a a -> b a a a
by original rule (OC 1)"""b b -> a a b
by original rule (OC 1)"""a a a a -> b a a a
by original rule (OC 1)"""a a a a -> b a a a
by original rule (OC 1)"""b b -> a a b
by original rule (OC 1)"""a a a a -> b a a a
by original rule (OC 1)"""a a a a -> b a a a
by original rule (OC 1)"

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(2)
NO