YES(?,O(n^1)) * Step 1: TrivialSCCs WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (?,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (?,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_xnu_0) = x10 p(eval_xnu_1) = x10 p(eval_xnu_10) = -1*x6 + x10 p(eval_xnu_11) = -1*x6 + x10 p(eval_xnu_12) = -1*x6 + x10 p(eval_xnu_13) = -1*x6 + x10 p(eval_xnu_15) = 1 + -1*x5 + x10 p(eval_xnu_16) = 1 + -1*x5 + x10 p(eval_xnu_2) = x10 p(eval_xnu_3) = x10 p(eval_xnu_4) = x10 p(eval_xnu_5) = x10 p(eval_xnu_6) = x10 p(eval_xnu_7) = x10 p(eval_xnu_8) = x10 p(eval_xnu_bb0_in) = x10 p(eval_xnu_bb1_in) = -1*x6 + x10 p(eval_xnu_bb2_in) = -1*x6 + x10 p(eval_xnu_bb3_in) = -1*x9 + x10 p(eval_xnu_bb4_in) = -1*x9 + x10 p(eval_xnu_bb5_in) = -1*x6 + x10 p(eval_xnu_start) = x10 p(eval_xnu_stop) = -1*x6 + x10 Following rules are strictly oriented: [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_7 + v_len > -1*v_7 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) Following rules are weakly oriented: True ==> eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 ==> && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_k_0 + v_len >= -1*v_k_0 + v_len = eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_k_0 + v_len >= -1*v_1 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_k_0 + v_len >= -1*v_k_0 + v_len = eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_7 + v_len >= 1 + -1*v_7 + v_len = eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) * Step 3: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_xnu_0) = 1 + x10 p(eval_xnu_1) = 1 + x10 p(eval_xnu_10) = 1 + -1*x6 + x10 p(eval_xnu_11) = 1 + -1*x6 + x10 p(eval_xnu_12) = 1 + -1*x6 + x10 p(eval_xnu_13) = 1 + -1*x6 + x10 p(eval_xnu_15) = 2 + -1*x5 + x10 p(eval_xnu_16) = 1 + -1*x5 + x10 p(eval_xnu_2) = 1 + x10 p(eval_xnu_3) = 1 + x10 p(eval_xnu_4) = 1 + x10 p(eval_xnu_5) = 1 + x10 p(eval_xnu_6) = 1 + x10 p(eval_xnu_7) = 1 + x10 p(eval_xnu_8) = 1 + x10 p(eval_xnu_bb0_in) = 1 + x10 p(eval_xnu_bb1_in) = 1 + -1*x6 + x10 p(eval_xnu_bb2_in) = 1 + -1*x6 + x10 p(eval_xnu_bb3_in) = 1 + -1*x9 + x10 p(eval_xnu_bb4_in) = 1 + -1*x9 + x10 p(eval_xnu_bb5_in) = 1 + -1*x6 + x10 p(eval_xnu_start) = 1 + x10 p(eval_xnu_stop) = 1 + -1*x6 + x10 Following rules are strictly oriented: [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_7 + v_len > 1 + -1*v_7 + v_len = eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) Following rules are weakly oriented: True ==> eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + v_len >= 1 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 ==> && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_k_0 + v_len >= 1 + -1*v_k_0 + v_len = eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_k_0 + v_len >= 1 + -1*v_1 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_k_0 + v_len >= 1 + -1*v_k_0 + v_len = eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_7 + v_len >= 1 + -1*v_7 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) * Step 4: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (?,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (1 + v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_xnu_0) = x10 p(eval_xnu_1) = x10 p(eval_xnu_10) = -1*x6 + x10 p(eval_xnu_11) = -1*x6 + x10 p(eval_xnu_12) = -1*x6 + x10 p(eval_xnu_13) = -1*x6 + x10 p(eval_xnu_15) = -1*x5 + x10 p(eval_xnu_16) = -1*x5 + x10 p(eval_xnu_2) = x10 p(eval_xnu_3) = x10 p(eval_xnu_4) = x10 p(eval_xnu_5) = x10 p(eval_xnu_6) = x10 p(eval_xnu_7) = x10 p(eval_xnu_8) = x10 p(eval_xnu_bb0_in) = x10 p(eval_xnu_bb1_in) = -1*x6 + x10 p(eval_xnu_bb2_in) = -1*x6 + x10 p(eval_xnu_bb3_in) = -1*x9 + x10 p(eval_xnu_bb4_in) = -1*x9 + x10 p(eval_xnu_bb5_in) = -1*x6 + x10 p(eval_xnu_start) = x10 p(eval_xnu_stop) = -1*x6 + x10 Following rules are strictly oriented: [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_k_0 + v_len > -1 + -1*v_k_0 + v_len = eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) Following rules are weakly oriented: True ==> eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 ==> && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_k_0 + v_len >= -1*v_k_0 + v_len = eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_k_0 + v_len >= -1*v_1 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_7 + v_len >= -1*v_7 + v_len = eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_7 + v_len >= -1*v_7 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_beg_0 + v_len >= -1*v_beg_0 + v_len = eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) * Step 5: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (1 + v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_xnu_0) = 3*x10 p(eval_xnu_1) = 3*x10 p(eval_xnu_10) = -1 + -1*x6 + -1*x7 + 3*x10 p(eval_xnu_11) = -1 + -1*x6 + -1*x7 + 3*x10 p(eval_xnu_12) = -1 + -1*x6 + -1*x7 + 3*x10 p(eval_xnu_13) = -1 + -1*x6 + -1*x7 + 3*x10 p(eval_xnu_15) = -1*x2 + -1*x5 + 3*x10 p(eval_xnu_16) = -1*x2 + -1*x5 + 3*x10 p(eval_xnu_2) = 3*x10 p(eval_xnu_3) = 3*x10 p(eval_xnu_4) = 3*x10 p(eval_xnu_5) = 3*x10 p(eval_xnu_6) = 3*x10 p(eval_xnu_7) = 3*x10 p(eval_xnu_8) = 3*x10 p(eval_xnu_bb0_in) = 3*x10 p(eval_xnu_bb1_in) = -1 + -1*x6 + -1*x7 + 3*x10 p(eval_xnu_bb2_in) = -1 + -1*x6 + -1*x7 + 3*x10 p(eval_xnu_bb3_in) = -1*x2 + -1*x9 + 3*x10 p(eval_xnu_bb4_in) = -1*x2 + -1*x9 + 3*x10 p(eval_xnu_bb5_in) = -1 + -1*x6 + -1*x7 + 3*x10 p(eval_xnu_start) = 3*x10 p(eval_xnu_stop) = -1 + -1*x6 + -1*x7 + 3*x10 Following rules are strictly oriented: [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + -1*v_k_0 + 3*v_len > -1 + -2*v_1 + 3*v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + -1*v_k_0 + 3*v_len > -1 + -1*v_1 + -1*v_k_0 + 3*v_len = eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) Following rules are weakly oriented: True ==> eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= 3*v_len = eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 3*v_len >= -1 + 3*v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 ==> && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1*v_1 + -1*v_beg_0 + 3*v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v__end_0 + -1*v_beg_0 + 3*v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + -1*v_k_0 + 3*v_len >= -1*v_1 + -1*v_k_0 + 3*v_len = eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + -1*v_7 + 3*v_len >= -1*v_1 + -1*v_7 + 3*v_len = eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + -1*v_7 + 3*v_len >= -1*v_1 + -1*v_7 + 3*v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len >= -1 + -1*v_beg_0 + -1*v_end_0 + 3*v_len = eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) * Step 6: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (3*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (1 + v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_xnu_0) = 2 + x10 p(eval_xnu_1) = 2 + x10 p(eval_xnu_10) = 2 + -1*x6 + x10 p(eval_xnu_11) = 2 + -1*x6 + x10 p(eval_xnu_12) = 2 + -1*x6 + x10 p(eval_xnu_13) = 2 + -1*x6 + x10 p(eval_xnu_15) = x2 + -1*x6 + -1*x8 + x10 p(eval_xnu_16) = x2 + -1*x6 + -1*x8 + x10 p(eval_xnu_2) = 2 + x10 p(eval_xnu_3) = 2 + x10 p(eval_xnu_4) = 2 + x10 p(eval_xnu_5) = 2 + x10 p(eval_xnu_6) = 2 + x10 p(eval_xnu_7) = 2 + x10 p(eval_xnu_8) = 2 + x10 p(eval_xnu_bb0_in) = 2 + x10 p(eval_xnu_bb1_in) = 2 + -1*x6 + x10 p(eval_xnu_bb2_in) = 2 + -1*x6 + x10 p(eval_xnu_bb3_in) = 1 + -1*x6 + x10 p(eval_xnu_bb4_in) = x2 + -1*x6 + -1*x8 + x10 p(eval_xnu_bb5_in) = 2 + -1*x6 + x10 p(eval_xnu_start) = 2 + x10 p(eval_xnu_stop) = 2 + -1*x6 + x10 Following rules are strictly oriented: [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len > 1 + -1*v_beg_0 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) Following rules are weakly oriented: True ==> eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + v_len >= 2 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 ==> && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= v_1 + -1*v_beg_0 + -1*v_i_0 + v_len = eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_beg_0 + v_len >= 2 + -1*v_1 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_1 + -1*v_beg_0 + -1*v_i_0 + v_len >= v_1 + -1*v_beg_0 + -1*v_i_0 + v_len = eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_1 + -1*v_beg_0 + -1*v_i_0 + v_len >= v_1 + -1*v_beg_0 + -1*v_i_0 + v_len = eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_1 + -1*v_beg_0 + -1*v_i_0 + v_len >= 1 + -1*v_beg_0 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 2 + -1*v_beg_0 + v_len >= 2 + -1*v_beg_0 + v_len = eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) * Step 7: KnowledgePropagation WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (2 + v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (?,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (3*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (1 + v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: KnowledgePropagation + Details: We propagate bounds from predecessors. * Step 8: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (2 + v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (2 + 2*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (3*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (1 + v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: We apply a polynomial interpretation of shape linear: p(eval_xnu_0) = x10 p(eval_xnu_1) = x10 p(eval_xnu_10) = 1 + -1*x2 + x10 p(eval_xnu_11) = 1 + -1*x2 + x10 p(eval_xnu_12) = 1 + -1*x2 + x10 p(eval_xnu_13) = 1 + -1*x2 + x10 p(eval_xnu_15) = -1*x2 + x10 p(eval_xnu_16) = -1*x2 + x10 p(eval_xnu_2) = x10 p(eval_xnu_3) = x10 p(eval_xnu_4) = x10 p(eval_xnu_5) = x10 p(eval_xnu_6) = x10 p(eval_xnu_7) = x10 p(eval_xnu_8) = x10 p(eval_xnu_bb0_in) = x10 p(eval_xnu_bb1_in) = -1*x8 + x10 p(eval_xnu_bb2_in) = -1*x8 + x10 p(eval_xnu_bb3_in) = -1*x2 + x10 p(eval_xnu_bb4_in) = -1*x2 + x10 p(eval_xnu_bb5_in) = -1*x8 + x10 p(eval_xnu_start) = x10 p(eval_xnu_stop) = -1*x8 + x10 Following rules are strictly oriented: [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_1 + v_len > -1*v_1 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_1 + v_len > -1*v_1 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) Following rules are weakly oriented: True ==> eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True ==> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = v_len >= v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_i_0 + v_len >= -1*v_i_0 + v_len = eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_i_0 + v_len >= -1*v_i_0 + v_len = eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 ==> && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_i_0 + v_len >= -1*v_i_0 + v_len = eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_1 + v_len >= 1 + -1*v_1 + v_len = eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_1 + v_len >= 1 + -1*v_1 + v_len = eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_1 + v_len >= 1 + -1*v_1 + v_len = eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 ==> && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = 1 + -1*v_1 + v_len >= 1 + -1*v_1 + v_len = eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + v_len >= -1*v_1 + v_len = eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 ==> && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + v_len >= -1*v_1 + v_len = eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + v_len >= -1*v_1 + v_len = eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + v_len >= -1*v_1 + v_len = eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 ==> && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_1 + v_len >= -1*v_1 + v_len = eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 >= 0 ==> && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) = -1*v_i_0 + v_len >= -1*v_i_0 + v_len = eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) * Step 9: KnowledgePropagation WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (?,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (?,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (?,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (2 + v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (2 + 2*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (3*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (1 + v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: KnowledgePropagation + Details: We propagate bounds from predecessors. * Step 10: PolyRank WORST_CASE(?,O(n^1)) + Considered Problem: Rules: 0. eval_xnu_start(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 1. eval_xnu_bb0_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 2. eval_xnu_0(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 3. eval_xnu_1(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 4. eval_xnu_2(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 5. eval_xnu_3(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 6. eval_xnu_4(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 7. eval_xnu_5(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 8. eval_xnu_6(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 9. eval_xnu_7(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) True (1,1) 10. eval_xnu_8(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,0,0,0,v_k_0,v_len) True (1,1) 11. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1 + 4*v_len,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && -1 + v_len >= v_i_0] 12. eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0 && v_i_0 >= v_len] 13. eval_xnu_bb2_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_10(v__end_0,1 + v_i_0,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + -1*v_i_0 + v_len >= 0 (1 + 4*v_len,1) && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v_len >= 0] 14. eval_xnu_10(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_11(v__end_0,v_1,nondef_0,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (1 + 4*v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0] 15. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_1,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (1 + 4*v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && -1 + v_2 >= 0] 16. eval_xnu_11(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_12(v_end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (1 + 4*v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_len >= 0 && 0 >= v_2] 17. eval_xnu_12(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_13(v__end_0,v_1,v_2,nondef_1,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (2 + 8*v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0] 18. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_beg_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (2 + v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v_4 >= 0] 19. eval_xnu_13(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v__end_0,v_1,v_k_0,v_len) [-1 + v_1 + -1*v_i_0 >= 0 (v_len,1) && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && 0 >= v_4] 20. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (2 + 2*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && -1 + v__end_0 >= v_k_0] 21. eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb1_in(v__end_0,v_1,v_2,v_4,v_7,v_1,v_1,v_1,v_k_0,v_len) [1 + v_i_0 + -1*v_k_0 >= 0 (3*v_len,1) && v_1 + -1*v_k_0 >= 0 && -1*v_k_0 + v_len >= 0 && v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -1 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -1 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -1 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && v__end_0 >= 0 && v_k_0 >= v__end_0] 22. eval_xnu_bb4_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_15(v__end_0,v_1,v_2,v_4,1 + v_k_0,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 23. eval_xnu_15(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 + -1*v_k_0 >= 0 (1 + v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 24. eval_xnu_16(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_bb3_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_7,v_len) [v_i_0 + -1*v_k_0 >= 0 (v_len,1) && -1 + v_7 + -1*v_k_0 >= 0 && -1 + v_1 + -1*v_k_0 >= 0 && -1 + -1*v_k_0 + v_len >= 0 && -1 + v__end_0 + -1*v_k_0 >= 0 && v_k_0 >= 0 && v_i_0 + v_k_0 >= 0 && v_end_0 + v_k_0 >= 0 && v_beg_0 + v_k_0 >= 0 && -1*v_beg_0 + v_k_0 >= 0 && -1 + v_7 + v_k_0 >= 0 && 1 + -1*v_7 + v_k_0 >= 0 && -1 + v_4 + v_k_0 >= 0 && -1 + v_1 + v_k_0 >= 0 && -1 + v_k_0 + v_len >= 0 && -1 + v__end_0 + v_k_0 >= 0 && -1 + v_1 + -1*v_i_0 >= 0 && -1 + -1*v_i_0 + v_len >= 0 && v_i_0 >= 0 && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && -1 + v_7 + v_i_0 >= 0 && 1 + -1*v_7 + v_i_0 >= 0 && -1 + v_4 + v_i_0 >= 0 && -1 + v_1 + v_i_0 >= 0 && 1 + -1*v_1 + v_i_0 >= 0 && -1 + v_i_0 + v_len >= 0 && -1 + v__end_0 + v_i_0 >= 0 && 1 + -1*v__end_0 + v_i_0 >= 0 && -1 + v_1 + -1*v_end_0 >= 0 && -1 + -1*v_end_0 + v_len >= 0 && v__end_0 + -1*v_end_0 >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && -1 + v_7 + v_end_0 >= 0 && -1 + v_4 + v_end_0 >= 0 && -1 + v_1 + v_end_0 >= 0 && -1 + v_end_0 + v_len >= 0 && -1 + v__end_0 + v_end_0 >= 0 && -1 + v_7 + -1*v_beg_0 >= 0 && -1 + v_1 + -1*v_beg_0 >= 0 && -1 + -1*v_beg_0 + v_len >= 0 && -1 + v__end_0 + -1*v_beg_0 >= 0 && v_beg_0 >= 0 && -1 + v_7 + v_beg_0 >= 0 && -1 + v_4 + v_beg_0 >= 0 && -1 + v_1 + v_beg_0 >= 0 && -1 + v_beg_0 + v_len >= 0 && -1 + v__end_0 + v_beg_0 >= 0 && v_1 + -1*v_7 >= 0 && -1*v_7 + v_len >= 0 && -1*v_7 + v__end_0 >= 0 && -1 + v_7 >= 0 && -2 + v_4 + v_7 >= 0 && -2 + v_1 + v_7 >= 0 && -2 + v_7 + v_len >= 0 && -2 + v_7 + v__end_0 >= 0 && -1 + v_4 >= 0 && -2 + v_1 + v_4 >= 0 && -2 + v_4 + v_len >= 0 && -2 + v_4 + v__end_0 >= 0 && -1*v_1 + v_len >= 0 && -1 + v_1 >= 0 && -2 + v_1 + v_len >= 0 && -2 + v_1 + v__end_0 >= 0 && v_1 + -1*v__end_0 >= 0 && -1 + v_len >= 0 && -2 + v__end_0 + v_len >= 0 && -1*v__end_0 + v_len >= 0 && -1 + v__end_0 >= 0] 25. eval_xnu_bb5_in(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) -> eval_xnu_stop(v__end_0,v_1,v_2,v_4,v_7,v_beg_0,v_end_0,v_i_0,v_k_0,v_len) [v_i_0 >= 0 (1,1) && v_end_0 + v_i_0 >= 0 && -1*v_end_0 + v_i_0 >= 0 && v_beg_0 + v_i_0 >= 0 && -1*v_beg_0 + v_i_0 >= 0 && v_i_0 + -1*v_len >= 0 && v_end_0 >= 0 && v_beg_0 + v_end_0 >= 0 && -1*v_beg_0 + v_end_0 >= 0 && v_beg_0 >= 0] Signature: {(eval_xnu_0,10) ;(eval_xnu_1,10) ;(eval_xnu_10,10) ;(eval_xnu_11,10) ;(eval_xnu_12,10) ;(eval_xnu_13,10) ;(eval_xnu_15,10) ;(eval_xnu_16,10) ;(eval_xnu_2,10) ;(eval_xnu_3,10) ;(eval_xnu_4,10) ;(eval_xnu_5,10) ;(eval_xnu_6,10) ;(eval_xnu_7,10) ;(eval_xnu_8,10) ;(eval_xnu_bb0_in,10) ;(eval_xnu_bb1_in,10) ;(eval_xnu_bb2_in,10) ;(eval_xnu_bb3_in,10) ;(eval_xnu_bb4_in,10) ;(eval_xnu_bb5_in,10) ;(eval_xnu_start,10) ;(eval_xnu_stop,10)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11,12},11->{13},12->{25} ,13->{14},14->{15,16},15->{17},16->{17},17->{18,19},18->{20,21},19->{11,12},20->{22},21->{11,12},22->{23} ,23->{24},24->{20,21},25->{}] + Applied Processor: PolyRank {useFarkas = True, withSizebounds = [], shape = Linear} + Details: The problem is already solved. YES(?,O(n^1))