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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 163 ms]
(2) NO


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

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

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(2)
NO