YES

(format LCTRS :logic QF_LIA)
(fun f2 1 :sort (Int Int))
(fun u_10 1 :sort (Int Int))
(fun u_15 1 :sort (Int Int))

(rule (u_15 x_0) x_0 :guard (>= x_0 0) :vars ((x_0 Int)))
(rule (u_15 x_1) 0 :guard (< x_1 0) :vars ((x_1 Int)))
(rule (f2 x_2) (u_15 x_2) :guard (<= x_2 1) :vars ((x_2 Int)))
(rule (u_10 w_2_3) (u_15 (+ w_2_3 2)) :vars ((w_2_3 Int)))
(rule (f2 x_4) (u_10 (f2 (- x_4 2))) :guard (> x_4 1) :vars ((x_4 Int)))

Confluent by Weak Orthogonality with proof:
no critical pairs

Elapsed Time:  30.31 ms