(0) Obligation:

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

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

Q is empty.

(1) QTRS Reverse (EQUIVALENT transformation)

We applied the QTRS Reverse Processor [REVERSE].

(2) Obligation:

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

a(x) → b(x)
b(c(a(x))) → c(a(b(a(c(x)))))
c(b(x)) → x

Q is empty.

(3) NonTerminationProof (EQUIVALENT transformation)

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

Found the self-embedding DerivationStructure:
b c a a a ac b b c a a a a a c

b c a a a ac b b c a a a a a c
by OverlapClosure OC 2
b c ac b b b c
by OverlapClosure OC 3
b c ac b b a c
by OverlapClosure OC 3
b c ac a b a c
by original rule (OC 1)
ab
by original rule (OC 1)
ab
by original rule (OC 1)
b c a a ac a a a a a c
by OverlapClosure OC 3
b c a a ac a c b a a a a c
by OverlapClosure OC 3
b c a a ac a c a c a b a a a c
by OverlapClosure OC 3
b c a a ac a c a b c a b a a c
by OverlapClosure OC 3
b c a a ac a c a b a c a b a c
by OverlapClosure OC 2
b c a ac a c a b a a c
by OverlapClosure OC 3
b c a ac a c a b a c b a c
by OverlapClosure OC 3
b c a ac a b c a b a c
by OverlapClosure OC 2
b c ac a b b c
by OverlapClosure OC 3
b c ac a b a c
by original rule (OC 1)
ab
by original rule (OC 1)
b c ac a b a c
by original rule (OC 1)
b c ac a b a c
by original rule (OC 1)
c b
by original rule (OC 1)
a c ac a b a c
by OverlapClosure OC 2
ab
by original rule (OC 1)
b c ac a b a c
by original rule (OC 1)
a c a bc a b a
by OverlapClosure OC 2
ab
by original rule (OC 1)
b c a bc a b a
by OverlapClosure OC 2
b c ac a b a c
by original rule (OC 1)
c b
by original rule (OC 1)
b c a bc a b a
by OverlapClosure OC 2
b c ac a b a c
by original rule (OC 1)
c b
by original rule (OC 1)
a c a bb a
by OverlapClosure OC 3
a c a bc b b a
by OverlapClosure OC 2
ab
by original rule (OC 1)
b c a bc b b a
by OverlapClosure OC 2
b c ac b b a c
by OverlapClosure OC 3
b c ac a b a c
by original rule (OC 1)
ab
by original rule (OC 1)
c b
by original rule (OC 1)
c b
by original rule (OC 1)
c b
by original rule (OC 1)

(4) NO