let R be the TRS under consideration

+(1,_1) -> +(+(0,1),_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 = +(0,1)
+(0,_2) -> _2 is in R
let l'0 be the left-hand side of this rule
theta0 = {_2/1} is a mgu of r0|p0 and l'0

==> +(1,_1) -> +(1,_1) is in EU_R^1
let l be the left-hand side and r be the right-hand side of this rule
let p = epsilon
let theta = {}
let theta' = {}
we have r|p = +(1,_1) and
theta'(theta(l)) = theta(r|p)
so, theta(l) = +(1,_1) is non-terminating w.r.t. R

Termination disproved by the forward process
proof stopped at iteration i=1, depth k=2
2 rule(s) generated