YES


Termination: (Ranking Functions Found)
------------
eval_main_.critedge_in: < < v_x.0 >, < v_x.0 > >
eval_main_2: < < 1 + v_x.0 >, < 1 + v_x.0 >, < 1 + v_y.0 > >
eval_main_3: < < 1 + v_x.0 >, < 1 + v_x.0 >, < v_y.0 > >
eval_main_4: < < v_x.0 >, < v_x.0 >, < v_0 -v_y.1 > >
eval_main_5: < < v_x.0 >, < v_x.0 >, < v_0 -v_y.1 > >
eval_main_bb1_in: < < 1 + v_x.0 >, < 1 + v_x.0 >, < 1 + v_y.0 > >
eval_main_bb2_in: < < 1 + v_x.0 >, < 1 + v_x.0 >, < 1 + v_y.0 > >
eval_main_bb3_in: < < v_x.0 >, < v_x.0 >, < 1 + v_0 -v_y.1 > >
eval_main_bb4_in: < < v_x.0 >, < v_x.0 >, < v_0 -v_y.1 > >
eval_main_bb5_in: < < v_x.0 >, < v_x.0 >, < v_0 -v_y.1 > >
eval_main_bb6_in: < < 1 + v_x.1 >, < 1 + v_x.1 >, < v_y.2 > >


method 1