YES * Step 1: TrivialSCCs YES + Considered Problem: Rules: 0. eval_realbubble_start(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb0_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 1. eval_realbubble_bb0_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_1(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (?,1) 2. eval_realbubble_1(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_2(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (?,1) 3. eval_realbubble_2(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_3(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (?,1) 4. eval_realbubble_3(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_4(-1 + v_length,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (?,1) 5. eval_realbubble_4(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_5(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (?,1) 6. eval_realbubble_5(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_6(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (?,1) 7. eval_realbubble_6(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_7(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (?,1) 8. eval_realbubble_7(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_8(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (?,1) 9. eval_realbubble_8(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_9(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (?,1) 10. eval_realbubble_9(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_10(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (?,1) 11. eval_realbubble_10(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb1_in(v_1,v_26,v_1,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (?,1) 12. eval_realbubble_bb1_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb2_in(v_1,v_26,v_i_0,0,v_length,0,v_test_1) [1 + v_1 + -1*v_length >= 0 (?,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] 13. eval_realbubble_bb1_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 (?,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0 && 0 >= v_i_0] 14. eval_realbubble_bb2_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_i_0 >= v_j_0] 15. eval_realbubble_bb2_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && v_j_0 >= v_i_0] 16. eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb4_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + nondef_1 >= nondef_2] 17. eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_0) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && nondef_2 >= nondef_1] 18. eval_realbubble_bb4_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,1) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 19. eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb2_in(v_1,v_26,v_i_0,1 + v_j_0,v_length,v_test_1,v_test_1) [1 + v_test_0 + -1*v_test_1 >= 0 (?,1) && -1 + v_length + -1*v_test_1 >= 0 && 1 + v_j_0 + -1*v_test_1 >= 0 && v_i_0 + -1*v_test_1 >= 0 && v_1 + -1*v_test_1 >= 0 && v_test_1 >= 0 && v_test_0 + v_test_1 >= 0 && -2 + v_length + v_test_1 >= 0 && v_j_0 + v_test_1 >= 0 && -1 + v_i_0 + v_test_1 >= 0 && -1 + v_1 + v_test_1 >= 0 && -2 + v_length + -1*v_test_0 >= 0 && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 20. eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && -1 + v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && v_test_0 = 0] 21. eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb7_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && -1 + v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_test_0 >= 0] 22. eval_realbubble_bb7_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_31(v_1,-1 + v_i_0,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 23. eval_realbubble_31(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_32(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -1 + v_26 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -2 + v_26 + v_length >= 0 && -2 + -1*v_26 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -1 + v_26 + v_j_0 >= 0 && -1 + -1*v_26 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && 1 + v_26 + -1*v_i_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_26 + v_i_0 >= 0 && -1 + -1*v_26 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 + -1*v_26 >= 0 && v_26 >= 0 && -1 + v_1 + v_26 >= 0 && -1 + v_1 >= 0] 24. eval_realbubble_32(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb1_in(v_1,v_26,v_26,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -1 + v_26 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -2 + v_26 + v_length >= 0 && -2 + -1*v_26 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -1 + v_26 + v_j_0 >= 0 && -1 + -1*v_26 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && 1 + v_26 + -1*v_i_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_26 + v_i_0 >= 0 && -1 + -1*v_26 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 + -1*v_26 >= 0 && v_26 >= 0 && -1 + v_1 + v_26 >= 0 && -1 + v_1 >= 0] 25. eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_stop(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 (?,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0] Signature: {(eval_realbubble_1,7) ;(eval_realbubble_10,7) ;(eval_realbubble_2,7) ;(eval_realbubble_3,7) ;(eval_realbubble_31,7) ;(eval_realbubble_32,7) ;(eval_realbubble_4,7) ;(eval_realbubble_5,7) ;(eval_realbubble_6,7) ;(eval_realbubble_7,7) ;(eval_realbubble_8,7) ;(eval_realbubble_9,7) ;(eval_realbubble_bb0_in,7) ;(eval_realbubble_bb1_in,7) ;(eval_realbubble_bb2_in,7) ;(eval_realbubble_bb3_in,7) ;(eval_realbubble_bb4_in,7) ;(eval_realbubble_bb5_in,7) ;(eval_realbubble_bb6_in,7) ;(eval_realbubble_bb7_in,7) ;(eval_realbubble_bb8_in,7) ;(eval_realbubble_start,7) ;(eval_realbubble_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12,13},12->{14,15} ,13->{25},14->{16,17},15->{20,21},16->{18},17->{19},18->{19},19->{14,15},20->{25},21->{22},22->{23},23->{24} ,24->{12,13},25->{}] + Applied Processor: TrivialSCCs + Details: All trivial SCCs of the transition graph admit timebound 1. * Step 2: UnsatPaths YES + Considered Problem: Rules: 0. eval_realbubble_start(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb0_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 1. eval_realbubble_bb0_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_1(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 2. eval_realbubble_1(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_2(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 3. eval_realbubble_2(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_3(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 4. eval_realbubble_3(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_4(-1 + v_length,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 5. eval_realbubble_4(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_5(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 6. eval_realbubble_5(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_6(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 7. eval_realbubble_6(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_7(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 8. eval_realbubble_7(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_8(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 9. eval_realbubble_8(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_9(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 10. eval_realbubble_9(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_10(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 11. eval_realbubble_10(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb1_in(v_1,v_26,v_1,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 12. eval_realbubble_bb1_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb2_in(v_1,v_26,v_i_0,0,v_length,0,v_test_1) [1 + v_1 + -1*v_length >= 0 (?,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] 13. eval_realbubble_bb1_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 (1,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0 && 0 >= v_i_0] 14. eval_realbubble_bb2_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_i_0 >= v_j_0] 15. eval_realbubble_bb2_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && v_j_0 >= v_i_0] 16. eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb4_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + nondef_1 >= nondef_2] 17. eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_0) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && nondef_2 >= nondef_1] 18. eval_realbubble_bb4_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,1) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 19. eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb2_in(v_1,v_26,v_i_0,1 + v_j_0,v_length,v_test_1,v_test_1) [1 + v_test_0 + -1*v_test_1 >= 0 (?,1) && -1 + v_length + -1*v_test_1 >= 0 && 1 + v_j_0 + -1*v_test_1 >= 0 && v_i_0 + -1*v_test_1 >= 0 && v_1 + -1*v_test_1 >= 0 && v_test_1 >= 0 && v_test_0 + v_test_1 >= 0 && -2 + v_length + v_test_1 >= 0 && v_j_0 + v_test_1 >= 0 && -1 + v_i_0 + v_test_1 >= 0 && -1 + v_1 + v_test_1 >= 0 && -2 + v_length + -1*v_test_0 >= 0 && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 20. eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (1,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && -1 + v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && v_test_0 = 0] 21. eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb7_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && -1 + v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_test_0 >= 0] 22. eval_realbubble_bb7_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_31(v_1,-1 + v_i_0,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 23. eval_realbubble_31(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_32(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -1 + v_26 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -2 + v_26 + v_length >= 0 && -2 + -1*v_26 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -1 + v_26 + v_j_0 >= 0 && -1 + -1*v_26 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && 1 + v_26 + -1*v_i_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_26 + v_i_0 >= 0 && -1 + -1*v_26 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 + -1*v_26 >= 0 && v_26 >= 0 && -1 + v_1 + v_26 >= 0 && -1 + v_1 >= 0] 24. eval_realbubble_32(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb1_in(v_1,v_26,v_26,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -1 + v_26 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -2 + v_26 + v_length >= 0 && -2 + -1*v_26 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -1 + v_26 + v_j_0 >= 0 && -1 + -1*v_26 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && 1 + v_26 + -1*v_i_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_26 + v_i_0 >= 0 && -1 + -1*v_26 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 + -1*v_26 >= 0 && v_26 >= 0 && -1 + v_1 + v_26 >= 0 && -1 + v_1 >= 0] 25. eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_stop(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 (1,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0] Signature: {(eval_realbubble_1,7) ;(eval_realbubble_10,7) ;(eval_realbubble_2,7) ;(eval_realbubble_3,7) ;(eval_realbubble_31,7) ;(eval_realbubble_32,7) ;(eval_realbubble_4,7) ;(eval_realbubble_5,7) ;(eval_realbubble_6,7) ;(eval_realbubble_7,7) ;(eval_realbubble_8,7) ;(eval_realbubble_9,7) ;(eval_realbubble_bb0_in,7) ;(eval_realbubble_bb1_in,7) ;(eval_realbubble_bb2_in,7) ;(eval_realbubble_bb3_in,7) ;(eval_realbubble_bb4_in,7) ;(eval_realbubble_bb5_in,7) ;(eval_realbubble_bb6_in,7) ;(eval_realbubble_bb7_in,7) ;(eval_realbubble_bb8_in,7) ;(eval_realbubble_start,7) ;(eval_realbubble_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12,13},12->{14,15} ,13->{25},14->{16,17},15->{20,21},16->{18},17->{19},18->{19},19->{14,15},20->{25},21->{22},22->{23},23->{24} ,24->{12,13},25->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(12,15)] * Step 3: Looptree YES + Considered Problem: Rules: 0. eval_realbubble_start(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb0_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 1. eval_realbubble_bb0_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_1(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 2. eval_realbubble_1(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_2(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 3. eval_realbubble_2(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_3(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 4. eval_realbubble_3(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_4(-1 + v_length,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) True (1,1) 5. eval_realbubble_4(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_5(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 6. eval_realbubble_5(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_6(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 7. eval_realbubble_6(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_7(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 8. eval_realbubble_7(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_8(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 9. eval_realbubble_8(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_9(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 10. eval_realbubble_9(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_10(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 11. eval_realbubble_10(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb1_in(v_1,v_26,v_1,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 && -1 + -1*v_1 + v_length >= 0] (1,1) 12. eval_realbubble_bb1_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb2_in(v_1,v_26,v_i_0,0,v_length,0,v_test_1) [1 + v_1 + -1*v_length >= 0 (?,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0] 13. eval_realbubble_bb1_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 (1,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0 && 0 >= v_i_0] 14. eval_realbubble_bb2_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_i_0 >= v_j_0] 15. eval_realbubble_bb2_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && v_j_0 >= v_i_0] 16. eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb4_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + nondef_1 >= nondef_2] 17. eval_realbubble_bb3_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_0) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && nondef_2 >= nondef_1] 18. eval_realbubble_bb4_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,1) [-2 + v_length + -1*v_test_0 >= 0 (?,1) && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 19. eval_realbubble_bb5_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb2_in(v_1,v_26,v_i_0,1 + v_j_0,v_length,v_test_1,v_test_1) [1 + v_test_0 + -1*v_test_1 >= 0 (?,1) && -1 + v_length + -1*v_test_1 >= 0 && 1 + v_j_0 + -1*v_test_1 >= 0 && v_i_0 + -1*v_test_1 >= 0 && v_1 + -1*v_test_1 >= 0 && v_test_1 >= 0 && v_test_0 + v_test_1 >= 0 && -2 + v_length + v_test_1 >= 0 && v_j_0 + v_test_1 >= 0 && -1 + v_i_0 + v_test_1 >= 0 && -1 + v_1 + v_test_1 >= 0 && -2 + v_length + -1*v_test_0 >= 0 && v_j_0 + -1*v_test_0 >= 0 && -1 + v_i_0 + -1*v_test_0 >= 0 && -1 + v_1 + -1*v_test_0 >= 0 && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -2 + v_j_0 + v_length >= 0 && -2 + -1*v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_i_0 + -1*v_j_0 >= 0 && -1 + v_1 + -1*v_j_0 >= 0 && v_j_0 >= 0 && -1 + v_i_0 + v_j_0 >= 0 && -1 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 20. eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (1,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && -1 + v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && v_test_0 = 0] 21. eval_realbubble_bb6_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb7_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && v_test_0 >= 0 && -2 + v_length + v_test_0 >= 0 && -1 + v_j_0 + v_test_0 >= 0 && -1 + v_i_0 + v_test_0 >= 0 && -1 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0 && -1 + v_test_0 >= 0] 22. eval_realbubble_bb7_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_31(v_1,-1 + v_i_0,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 >= 0] 23. eval_realbubble_31(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_32(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -1 + v_26 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -2 + v_26 + v_length >= 0 && -2 + -1*v_26 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -1 + v_26 + v_j_0 >= 0 && -1 + -1*v_26 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && 1 + v_26 + -1*v_i_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_26 + v_i_0 >= 0 && -1 + -1*v_26 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 + -1*v_26 >= 0 && v_26 >= 0 && -1 + v_1 + v_26 >= 0 && -1 + v_1 >= 0] 24. eval_realbubble_32(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_bb1_in(v_1,v_26,v_26,v_j_0,v_length,v_test_0,v_test_1) [v_j_0 + -1*v_test_0 >= 0 (?,1) && -1 + v_test_0 >= 0 && -3 + v_length + v_test_0 >= 0 && -2 + v_j_0 + v_test_0 >= 0 && -2 + v_i_0 + v_test_0 >= 0 && -1 + v_26 + v_test_0 >= 0 && -2 + v_1 + v_test_0 >= 0 && 1 + v_1 + -1*v_length >= 0 && -2 + v_length >= 0 && -3 + v_j_0 + v_length >= 0 && -3 + v_i_0 + v_length >= 0 && -1 + -1*v_i_0 + v_length >= 0 && -2 + v_26 + v_length >= 0 && -2 + -1*v_26 + v_length >= 0 && -3 + v_1 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && -1 + v_j_0 >= 0 && -2 + v_i_0 + v_j_0 >= 0 && -1*v_i_0 + v_j_0 >= 0 && -1 + v_26 + v_j_0 >= 0 && -1 + -1*v_26 + v_j_0 >= 0 && -2 + v_1 + v_j_0 >= 0 && 1 + v_26 + -1*v_i_0 >= 0 && v_1 + -1*v_i_0 >= 0 && -1 + v_i_0 >= 0 && -1 + v_26 + v_i_0 >= 0 && -1 + -1*v_26 + v_i_0 >= 0 && -2 + v_1 + v_i_0 >= 0 && -1 + v_1 + -1*v_26 >= 0 && v_26 >= 0 && -1 + v_1 + v_26 >= 0 && -1 + v_1 >= 0] 25. eval_realbubble_bb8_in(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) -> eval_realbubble_stop(v_1,v_26,v_i_0,v_j_0,v_length,v_test_0,v_test_1) [1 + v_1 + -1*v_length >= 0 (1,1) && -1 + -1*v_i_0 + v_length >= 0 && -1 + -1*v_1 + v_length >= 0 && v_1 + -1*v_i_0 >= 0] Signature: {(eval_realbubble_1,7) ;(eval_realbubble_10,7) ;(eval_realbubble_2,7) ;(eval_realbubble_3,7) ;(eval_realbubble_31,7) ;(eval_realbubble_32,7) ;(eval_realbubble_4,7) ;(eval_realbubble_5,7) ;(eval_realbubble_6,7) ;(eval_realbubble_7,7) ;(eval_realbubble_8,7) ;(eval_realbubble_9,7) ;(eval_realbubble_bb0_in,7) ;(eval_realbubble_bb1_in,7) ;(eval_realbubble_bb2_in,7) ;(eval_realbubble_bb3_in,7) ;(eval_realbubble_bb4_in,7) ;(eval_realbubble_bb5_in,7) ;(eval_realbubble_bb6_in,7) ;(eval_realbubble_bb7_in,7) ;(eval_realbubble_bb8_in,7) ;(eval_realbubble_start,7) ;(eval_realbubble_stop,7)} Flow Graph: [0->{1},1->{2},2->{3},3->{4},4->{5},5->{6},6->{7},7->{8},8->{9},9->{10},10->{11},11->{12,13},12->{14} ,13->{25},14->{16,17},15->{20,21},16->{18},17->{19},18->{19},19->{14,15},20->{25},21->{22},22->{23},23->{24} ,24->{12,13},25->{}] + Applied Processor: Looptree + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25] | `- p:[12,24,23,22,21,15,19,17,14,18,16] c: [24] | `- p:[14,19,17,18,16] c: [19] YES