let R be the TRS under consideration

c(a(a(b(a(_1))))) -> c(c(a(a(b(_1))))) is in elim_R(R)
let r0 be the right-hand side of this rule
p0 = 0 is a position in r0
we have r0|p0 = c(a(a(b(_1))))
c(a(a(b(a(_2))))) -> a(a(b(a(c(c(a(a(b(_2))))))))) is in R
let l'0 be the left-hand side of this rule
theta0 = {_1/a(_2)} is a mgu of r0|p0 and l'0

==> c(a(a(b(a(a(_1)))))) -> c(a(a(b(a(c(c(a(a(b(_1)))))))))) is in EU_R^1
let r1 be the right-hand side of this rule
p1 = 0.0.0.0.0.0 is a position in r1
we have r1|p1 = c(a(a(b(_1))))
c(a(a(b(a(_2))))) -> a(a(b(a(c(c(a(a(b(_2))))))))) is in R
let l'1 be the left-hand side of this rule
theta1 = {_1/a(_2)} is a mgu of r1|p1 and l'1

==> c(a(a(b(a(a(a(_1))))))) -> c(a(a(b(a(c(a(a(b(a(c(c(a(a(b(_1))))))))))))))) is in EU_R^2
let r2 be the right-hand side of this rule
p2 = 0.0.0.0.0 is a position in r2
we have r2|p2 = c(a(a(b(a(c(c(a(a(b(_1))))))))))
c(a(a(b(a(_2))))) -> a(a(b(a(c(c(a(a(b(_2))))))))) is in R
let l'2 be the left-hand side of this rule
theta2 = {_2/c(c(a(a(b(_1)))))} is a mgu of r2|p2 and l'2

==> c(a(a(b(a(a(a(_1))))))) -> c(a(a(b(a(a(a(b(a(c(c(a(a(b(c(c(a(a(b(_1))))))))))))))))))) is in EU_R^3
let l be the left-hand side and r be the right-hand side of this rule
let p = epsilon
let theta = {}
let theta' = {_1/b(a(c(c(a(a(b(c(c(a(a(b(_1))))))))))))}
we have r|p = c(a(a(b(a(a(a(b(a(c(c(a(a(b(c(c(a(a(b(_1))))))))))))))))))) and
theta'(theta(l)) = theta(r|p)
so, theta(l) = c(a(a(b(a(a(a(_1))))))) is non-terminating w.r.t. R

Termination disproved by the forward process
proof stopped at iteration i=3, depth k=15
7 rule(s) generated