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

(0) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

a(x1) → x1
a(b(x1)) → a(c(b(b(a(a(x1))))))
b(x1) → x1
c(c(x1)) → x1

Q is empty.

(1) NonTerminationProof (EQUIVALENT transformation)

We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.

Found the self-embedding DerivationStructure:

a b b → a b b a

a b b → a b b a
by OverlapClosure OC 3

a b b → a c c b b a
by OverlapClosure OC 3

a b b → a c b c b b a
by OverlapClosure OC 2

a b → a c b a
by OverlapClosure OC 3

a b → a c b b a
by OverlapClosure OC 2

a b → a c b b a a
by original rule (OC 1)

a →
by original rule (OC 1)

b →
by original rule (OC 1)

a b → c b b a
by OverlapClosure OC 3

a b → a c b b a
by OverlapClosure OC 2

a b → a c b b a a
by original rule (OC 1)

a →
by original rule (OC 1)

a →
by original rule (OC 1)

b →
by original rule (OC 1)

c c →
by original rule (OC 1)

(2) NO