YES


Termination: (Ranking Functions Found)
------------
n_n_n_eval_main_bb2_in___4___2___2: < < v_4 + 3 * v_x_P0 -v_y_P0 > >
n_n_n_eval_main_bb2_in___4___2___7: < < v_x_P0 >, < v_4 -v_y_P0 >, < 2 -v_4 >, < 4 -v_4 >, < -v_4 + v_x_P0 > >
n_n_n_eval_main_bb2_in___4___2___9: < < v_x_P0 >, < v_4 -v_y_P0 >, < 2 -v_4 >, < 4 -v_4 > >
n_n_n_eval_main_bb2_in___4___4___3: < < v_4 + 3 * v_x_P0 -v_y_P0 > >
n_n_n_eval_main_bb2_in___4___4___4: < < v_x_P0 >, < v_4 -v_y_P0 >, < 2 -v_4 > >
n_n_n_eval_main_bb2_in___5___1___5: < < v_x_P0 >, < v_4 -v_y_P0 > >
n_n_n_eval_main_bb2_in___5___1___6: < < v_4 + 3 * v_x_P0 -v_y_P0 > >


method 4