/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 6811 ms]
(2) NO


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

   b(b(a(b(x1)))) -> a(a(a(a(x1))))
   a(b(a(a(x1)))) -> a(b(b(b(x1))))
   a(b(a(a(x1)))) -> b(a(b(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: 
"a b a a a b b a a b a b b a a a b b b -> a b a a a b b a a b a b b a a a b b b"
a b a a a b b a a b a b b a a a b b b -> a b a a a b b a a b a b b a a a b b b
by OverlapClosure OC 2"a b a a a b -> a b a a a a
by OverlapClosure OC 2"a b a a -> a b b b
by original rule (OC 1)""b b a b -> a a a a
by original rule (OC 1)"""a b a a b a b b a a a b b b -> b b a a b a b b a a a b b b
by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b a a a b a a a a a b b b
by OverlapClosure OC 2"a b a a b a b b a a a b b b -> b b a a a b a a a a a b a a
by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b a a a b a b b a b b a a
by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b a a a a b a a a b b a a
by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b b a b b a a a b b a a
by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b a b a a a a a b b a a
by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b a b b b a b a b b a a
by OverlapClosure OC 3"a b a a b a b b a a a b b b -> b b b a b b b a a b a a a a
by OverlapClosure OC 2"a b a a b a b b a a a b b -> b b b a b b b a a b b b a
by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b b b a a b a a a
by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b a a a a b a a a
by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b b b a b b a a a
by OverlapClosure OC 3"a b a a b a b b a a a b b -> b b b a b b a b a a a a a
by OverlapClosure OC 2"a b a a b a b b a a a b -> b b b a b b a b a b b a
by OverlapClosure OC 3"a b a a b a b b a a a b -> b b b a b b a a b a a a
by OverlapClosure OC 3"a b a a b a b b a a a b -> b b a b a a a a b a a a
by OverlapClosure OC 3"a b a a b a b b a a a b -> b b a b b b a b b a a a
by OverlapClosure OC 3"a b a a b a b b a a a b -> b a b a a b a b b a a a
by OverlapClosure OC 2"a b a a -> b a b b
by original rule (OC 1)""b b a b b a a a b -> a a b a b b a a a
by OverlapClosure OC 3"b b a b b a a a b -> a a a b a a a a a
by OverlapClosure OC 2"b b a b -> a a a a
by original rule (OC 1)""a b a a a b -> b a a a a a
by OverlapClosure OC 2"a b a a -> b a b b
by original rule (OC 1)""b b a b -> a a a a
by original rule (OC 1)""""a b a a -> b a b b
by original rule (OC 1)""""a b a a -> b a b b
by original rule (OC 1)"""b b a b -> a a a a
by original rule (OC 1)"""a b a a -> b a b b
by original rule (OC 1)"""a b a a -> b a b b
by original rule (OC 1)"""b b a b -> a a a a
by original rule (OC 1)"""a b a a -> b a b b
by original rule (OC 1)"""b b a b -> a a a a
by original rule (OC 1)"""a b a a -> a b b b
by original rule (OC 1)"""a b a a -> a b b b
by original rule (OC 1)"""b b a b -> a a a a
by original rule (OC 1)"""a b a a -> b a b b
by original rule (OC 1)"""b b a b -> a a a a
by original rule (OC 1)"""a b a a -> b a b b
by original rule (OC 1)"""b b a b -> a a a a
by original rule (OC 1)"""a b a a -> b a b b
by original rule (OC 1)"""b b a b -> a a a a
by original rule (OC 1)"""a b a a -> a b b b
by original rule (OC 1)"""a b a a -> b a b b
by original rule (OC 1)""

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(2)
NO