(0) Obligation:

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

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

a b b b ba b b b b a
by OverlapClosure OC 3
a b b b ba b b b c c a
by OverlapClosure OC 3
a b b b ba b b b c a c a
by OverlapClosure OC 2
a ba a
by OverlapClosure OC 3
a bb c a a
by original rule (OC 1)
b c
by original rule (OC 1)
a b b bb b b c a c a
by OverlapClosure OC 3
a b b bb b a b c a
by OverlapClosure OC 3
a b b bb c c a b c a
by OverlapClosure OC 3
a b b bb c a c a b c a
by OverlapClosure OC 2
a b bb c a c a a
by OverlapClosure OC 3
a b ba b c a a
by OverlapClosure OC 2
a ba a
by OverlapClosure OC 3
a bb c a a
by original rule (OC 1)
b c
by original rule (OC 1)
a bb c a a
by original rule (OC 1)
a bb c a
by OverlapClosure OC 2
a bb c a a
by original rule (OC 1)
a
by original rule (OC 1)
a bb c a
by OverlapClosure OC 2
a bb c a a
by original rule (OC 1)
a
by original rule (OC 1)
a
by original rule (OC 1)
c cb
by original rule (OC 1)
a bb c a
by OverlapClosure OC 2
a bb c a a
by original rule (OC 1)
a
by original rule (OC 1)
a
by original rule (OC 1)
c cb
by original rule (OC 1)

(2) NO