We report a measurement of the CP-violation parameter phi(1) obtained in a time-dependent analysis of B-0 -> (D) over bar(*)(0)h(0) decays followed by (D) over bar (0) -> K-S(0)pi(+)pi decay. A model-independent measurement is performed using the binned Dalitz plot technique. The measured value is phi(1) = 11.7 degrees +/- 7.8 degrees(stat) +/- 2.1 degrees (syst). Treating sin 2 phi(1) and cos 2 phi(1) as independent parameters, we obtain sin 2 phi(1) = 0.43 +/- 0.27(stat) +/- 0.08(syst) and cos 2 phi(1) = 1.06 +/- 0.33(stat)(-0.15)(+0.21)(syst). The results are obtained with a full data sample of 772 x 10(6)B (B) over bar pairs collected near the Upsilon(4S) resonance with the Belle detector at the KEKB asymmetric-energy e(+)e(-) collider.