NO
proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 555 ms]
(2) NO


----------------------------------------

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

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

Q is empty.

----------------------------------------

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

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

----------------------------------------

(2)
NO