let R be the TRS under consideration

c(b(a(b(a(_1))))) -> c(b(c(_1))) is in elim_R(R)
let r0 be the right-hand side of this rule
p0 = 0.0 is a position in r0
we have r0|p0 = c(_1)
c(b(a(b(a(_2))))) -> a(b(a(b(a(b(c(b(c(_2))))))))) is in R
let l'0 be the left-hand side of this rule
theta0 = {_1/b(a(b(a(_2))))} is a mgu of r0|p0 and l'0

==> c(b(a(b(a(b(a(b(a(_1))))))))) -> c(b(a(b(a(b(a(b(c(b(c(_1))))))))))) is in EU_R^1
let r1 be the right-hand side of this rule
p1 = 0.0.0.0.0.0.0.0.0.0 is a position in r1
we have r1|p1 = c(_1)
c(b(a(b(a(_2))))) -> a(b(a(b(a(b(c(b(c(_2))))))))) is in R
let l'1 be the left-hand side of this rule
theta1 = {_1/b(a(b(a(_2))))} is a mgu of r1|p1 and l'1

==> c(b(a(b(a(b(a(b(a(b(a(b(a(_1))))))))))))) -> c(b(a(b(a(b(a(b(c(b(a(b(a(b(a(b(c(b(c(_1))))))))))))))))))) is in EU_R^2
let r2 be the right-hand side of this rule
p2 = 0.0.0.0.0.0.0.0 is a position in r2
we have r2|p2 = c(b(a(b(a(b(a(b(c(b(c(_1)))))))))))
c(b(a(b(a(_2))))) -> a(b(a(b(a(b(c(b(c(_2))))))))) is in R
let l'2 be the left-hand side of this rule
theta2 = {_2/b(a(b(c(b(c(_1))))))} is a mgu of r2|p2 and l'2

==> c(b(a(b(a(b(a(b(a(b(a(b(a(_1))))))))))))) -> c(b(a(b(a(b(a(b(a(b(a(b(a(b(c(b(c(b(a(b(c(b(c(_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(c(b(c(b(a(b(c(b(c(_1))))))))))}
we have r|p = c(b(a(b(a(b(a(b(a(b(a(b(a(b(c(b(c(b(a(b(c(b(c(_1))))))))))))))))))))))) and
theta'(theta(l)) = theta(r|p)
so, theta(l) = c(b(a(b(a(b(a(b(a(b(a(b(a(_1))))))))))))) is non-terminating w.r.t. R

Termination disproved by the forward process
proof stopped at iteration i=3, depth k=19
8 rule(s) generated