YES(?,PRIMREC) * Step 1: UnsatRules MAYBE + Considered Problem: Rules: 0. eval_realheapsort_step1_start(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb0_in(v_33,v_N,v_j_0,v_k_0) True (1,1) 1. eval_realheapsort_step1_bb0_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_0(v_33,v_N,v_j_0,v_k_0) True (?,1) 2. eval_realheapsort_step1_0(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_1(v_33,v_N,v_j_0,v_k_0) True (?,1) 3. eval_realheapsort_step1_1(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) True (?,1) 4. eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,1) [-1 + v_N >= 2] (?,1) 5. eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) [2 >= v_N] (?,1) 6. eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,v_k_0,v_k_0) [-1 + v_N >= v_k_0] (?,1) 7. eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) [-1 + v_k_0 >= -1 + v_N] (?,1) 8. eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) [-1 + v_j_0 >= 0] (?,1) 9. eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [0 >= v_j_0] (?,1) 10. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] (?,1) 11. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] (?,1) 12. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] (?,1) 13. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] (?,1) 14. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] (?,1) 15. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] (?,1) 16. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] (?,1) 17. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 18. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 19. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && 1 + v_j_0 = 0 && nondef_3 = 0] 20. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 21. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 22. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && 1 + v_j_0 = 0 && nondef_3 = 0] 23. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 24. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 (?,1) && nondef_1 = 0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 25. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] 26. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && 1 + v_j_0 = 0 && nondef_2 = 0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 27. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && 1 + v_j_0 = 0 && nondef_2 = 0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 28. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && 1 + v_j_0 = 0 && nondef_3 = 0] 29. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 30. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 31. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && 1 + v_j_0 = 0 && nondef_3 = 0] 32. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 33. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 34. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] 35. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && 1 + v_j_0 = 0 && nondef_2 = 0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 36. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && 1 + v_j_0 = 0 && nondef_2 = 0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 37. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && 1 + v_j_0 = 0 && nondef_3 = 0] 38. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 39. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 40. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && 1 + v_j_0 = 0 && nondef_3 = 0] 41. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 42. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 43. eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28(1 + v_k_0,v_N,v_j_0,v_k_0) True (?,1) 44. eval_realheapsort_step1_28(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29(v_33,v_N,v_j_0,v_k_0) True (?,1) 45. eval_realheapsort_step1_29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_33) True (?,1) 46. eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop(v_33,v_N,v_j_0,v_k_0) True (?,1) Signature: {(eval_realheapsort_step1_0,4) ;(eval_realheapsort_step1_1,4) ;(eval_realheapsort_step1_2,4) ;(eval_realheapsort_step1_28,4) ;(eval_realheapsort_step1_29,4) ;(eval_realheapsort_step1__critedge_in,4) ;(eval_realheapsort_step1_bb0_in,4) ;(eval_realheapsort_step1_bb1_in,4) ;(eval_realheapsort_step1_bb2_in,4) ;(eval_realheapsort_step1_bb3_in,4) ;(eval_realheapsort_step1_bb4_in,4) ;(eval_realheapsort_step1_bb5_in,4) ;(eval_realheapsort_step1_start,4) ;(eval_realheapsort_step1_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5},4->{6,7},5->{46},6->{8,9},7->{46},8->{10,11,12,13,14,15},9->{43},10->{16,17 ,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42},11->{16,17,18,19,20,21,22,23,24 ,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42},12->{16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31 ,32,33,34,35,36,37,38,39,40,41,42},13->{43},14->{43},15->{43},16->{8,9},17->{8,9},18->{8,9},19->{8,9},20->{8 ,9},21->{8,9},22->{8,9},23->{8,9},24->{8,9},25->{8,9},26->{8,9},27->{8,9},28->{8,9},29->{8,9},30->{8,9} ,31->{8,9},32->{8,9},33->{8,9},34->{8,9},35->{8,9},36->{8,9},37->{8,9},38->{8,9},39->{8,9},40->{8,9},41->{8 ,9},42->{8,9},43->{44},44->{45},45->{6,7},46->{}] + Applied Processor: UnsatRules + Details: Following transitions have unsatisfiable constraints and are removed: [17 ,18 ,19 ,20 ,21 ,22 ,23 ,24 ,25 ,26 ,27 ,28 ,30 ,31 ,32 ,33 ,34 ,35 ,36 ,37 ,38 ,39 ,40 ,41] * Step 2: UnsatPaths MAYBE + Considered Problem: Rules: 0. eval_realheapsort_step1_start(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb0_in(v_33,v_N,v_j_0,v_k_0) True (1,1) 1. eval_realheapsort_step1_bb0_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_0(v_33,v_N,v_j_0,v_k_0) True (?,1) 2. eval_realheapsort_step1_0(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_1(v_33,v_N,v_j_0,v_k_0) True (?,1) 3. eval_realheapsort_step1_1(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) True (?,1) 4. eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,1) [-1 + v_N >= 2] (?,1) 5. eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) [2 >= v_N] (?,1) 6. eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,v_k_0,v_k_0) [-1 + v_N >= v_k_0] (?,1) 7. eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) [-1 + v_k_0 >= -1 + v_N] (?,1) 8. eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) [-1 + v_j_0 >= 0] (?,1) 9. eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [0 >= v_j_0] (?,1) 10. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] (?,1) 11. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] (?,1) 12. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] (?,1) 13. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] (?,1) 14. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] (?,1) 15. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] (?,1) 16. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] (?,1) 29. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 42. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 43. eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28(1 + v_k_0,v_N,v_j_0,v_k_0) True (?,1) 44. eval_realheapsort_step1_28(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29(v_33,v_N,v_j_0,v_k_0) True (?,1) 45. eval_realheapsort_step1_29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_33) True (?,1) 46. eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop(v_33,v_N,v_j_0,v_k_0) True (?,1) Signature: {(eval_realheapsort_step1_0,4) ;(eval_realheapsort_step1_1,4) ;(eval_realheapsort_step1_2,4) ;(eval_realheapsort_step1_28,4) ;(eval_realheapsort_step1_29,4) ;(eval_realheapsort_step1__critedge_in,4) ;(eval_realheapsort_step1_bb0_in,4) ;(eval_realheapsort_step1_bb1_in,4) ;(eval_realheapsort_step1_bb2_in,4) ;(eval_realheapsort_step1_bb3_in,4) ;(eval_realheapsort_step1_bb4_in,4) ;(eval_realheapsort_step1_bb5_in,4) ;(eval_realheapsort_step1_start,4) ;(eval_realheapsort_step1_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5},4->{6,7},5->{46},6->{8,9},7->{46},8->{10,11,12,13,14,15},9->{43},10->{16,29 ,42},11->{16,29,42},12->{16,29,42},13->{43},14->{43},15->{43},16->{8,9},29->{8,9},42->{8,9},43->{44} ,44->{45},45->{6,7},46->{}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(4,7) ,(8,10) ,(8,12) ,(8,13) ,(8,15) ,(10,29) ,(10,42) ,(11,16) ,(11,42) ,(12,16) ,(12,29) ,(16,8) ,(42,8)] * Step 3: FromIts MAYBE + Considered Problem: Rules: 0. eval_realheapsort_step1_start(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb0_in(v_33,v_N,v_j_0,v_k_0) True (1,1) 1. eval_realheapsort_step1_bb0_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_0(v_33,v_N,v_j_0,v_k_0) True (?,1) 2. eval_realheapsort_step1_0(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_1(v_33,v_N,v_j_0,v_k_0) True (?,1) 3. eval_realheapsort_step1_1(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) True (?,1) 4. eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,1) [-1 + v_N >= 2] (?,1) 5. eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) [2 >= v_N] (?,1) 6. eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,v_k_0,v_k_0) [-1 + v_N >= v_k_0] (?,1) 7. eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) [-1 + v_k_0 >= -1 + v_N] (?,1) 8. eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) [-1 + v_j_0 >= 0] (?,1) 9. eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [0 >= v_j_0] (?,1) 10. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] (?,1) 11. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] (?,1) 12. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] (?,1) 13. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] (?,1) 14. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] (?,1) 15. eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] (?,1) 16. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [1 + v_j_0 = 0 && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] (?,1) 29. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [v_j_0 >= 0 (?,1) && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 42. eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,-1 + nondef_3,v_k_0) [-1 >= 1 + v_j_0 (?,1) && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] 43. eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28(1 + v_k_0,v_N,v_j_0,v_k_0) True (?,1) 44. eval_realheapsort_step1_28(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29(v_33,v_N,v_j_0,v_k_0) True (?,1) 45. eval_realheapsort_step1_29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_33) True (?,1) 46. eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop(v_33,v_N,v_j_0,v_k_0) True (?,1) Signature: {(eval_realheapsort_step1_0,4) ;(eval_realheapsort_step1_1,4) ;(eval_realheapsort_step1_2,4) ;(eval_realheapsort_step1_28,4) ;(eval_realheapsort_step1_29,4) ;(eval_realheapsort_step1__critedge_in,4) ;(eval_realheapsort_step1_bb0_in,4) ;(eval_realheapsort_step1_bb1_in,4) ;(eval_realheapsort_step1_bb2_in,4) ;(eval_realheapsort_step1_bb3_in,4) ;(eval_realheapsort_step1_bb4_in,4) ;(eval_realheapsort_step1_bb5_in,4) ;(eval_realheapsort_step1_start,4) ;(eval_realheapsort_step1_stop,4)} Flow Graph: [0->{1},1->{2},2->{3},3->{4,5},4->{6},5->{46},6->{8,9},7->{46},8->{11,14},9->{43},10->{16},11->{29} ,12->{42},13->{43},14->{43},15->{43},16->{9},29->{8,9},42->{9},43->{44},44->{45},45->{6,7},46->{}] + Applied Processor: FromIts + Details: () * Step 4: Unfold MAYBE + Considered Problem: Rules: eval_realheapsort_step1_start(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb0_in(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_bb0_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_0(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_0(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_1(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_1(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0 ,1) [-1 + v_N >= 2] eval_realheapsort_step1_2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0 ,v_k_0) [2 >= v_N] eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N,v_k_0 ,v_k_0) [-1 + v_N >= v_k_0] eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0 ,v_k_0) [-1 + v_k_0 >= -1 + v_N] eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0 ,v_k_0) [-1 + v_j_0 >= 0] eval_realheapsort_step1_bb2_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N ,v_j_0 ,v_k_0) [0 >= v_j_0] eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N ,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N ,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1__critedge_in(v_33,v_N ,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N ,-1 + nondef_3 ,v_k_0) [1 + v_j_0 = 0 && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N ,-1 + nondef_3 ,v_k_0) [v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_bb4_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in(v_33,v_N ,-1 + nondef_3 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] eval_realheapsort_step1__critedge_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28(1 + v_k_0,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_28(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in(v_33,v_N,v_j_0 ,v_33) True eval_realheapsort_step1_bb5_in(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop(v_33,v_N,v_j_0 ,v_k_0) True Signature: {(eval_realheapsort_step1_0,4) ;(eval_realheapsort_step1_1,4) ;(eval_realheapsort_step1_2,4) ;(eval_realheapsort_step1_28,4) ;(eval_realheapsort_step1_29,4) ;(eval_realheapsort_step1__critedge_in,4) ;(eval_realheapsort_step1_bb0_in,4) ;(eval_realheapsort_step1_bb1_in,4) ;(eval_realheapsort_step1_bb2_in,4) ;(eval_realheapsort_step1_bb3_in,4) ;(eval_realheapsort_step1_bb4_in,4) ;(eval_realheapsort_step1_bb5_in,4) ;(eval_realheapsort_step1_start,4) ;(eval_realheapsort_step1_stop,4)} Rule Graph: [0->{1},1->{2},2->{3},3->{4,5},4->{6},5->{46},6->{8,9},7->{46},8->{11,14},9->{43},10->{16},11->{29} ,12->{42},13->{43},14->{43},15->{43},16->{9},29->{8,9},42->{9},43->{44},44->{45},45->{6,7},46->{}] + Applied Processor: Unfold + Details: () * Step 5: AddSinks MAYBE + Considered Problem: Rules: eval_realheapsort_step1_start.0(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb0_in.1(v_33 ,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_bb0_in.1(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_0.2(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_0.2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_1.3(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_1.3(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2.4(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_1.3(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2.5(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_2.4(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.6(v_33,v_N ,v_j_0 ,1) [-1 + v_N >= 2] eval_realheapsort_step1_2.5(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.46(v_33,v_N ,v_j_0 ,v_k_0) [2 >= v_N] eval_realheapsort_step1_bb1_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.8(v_33,v_N ,v_k_0 ,v_k_0) [-1 + v_N >= v_k_0] eval_realheapsort_step1_bb1_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,v_k_0 ,v_k_0) [-1 + v_N >= v_k_0] eval_realheapsort_step1_bb1_in.7(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.46(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_k_0 >= -1 + v_N] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in.11(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_j_0 >= 0] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in.14(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_j_0 >= 0] eval_realheapsort_step1_bb2_in.9(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [0 >= v_j_0] eval_realheapsort_step1_bb3_in.10(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.16(v_33,v_N ,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in.11(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.29(v_33,v_N ,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in.12(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.42(v_33,v_N ,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb3_in.13(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in.14(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in.15(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb4_in.16(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [1 + v_j_0 = 0 && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] eval_realheapsort_step1_bb4_in.29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.8(v_33,v_N ,-1 + nondef_3 ,v_k_0) [v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_bb4_in.29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_bb4_in.42(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] eval_realheapsort_step1__critedge_in.43(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28.44(1 + v_k_0 ,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_28.44(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29.45(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_29.45(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.6(v_33,v_N ,v_j_0 ,v_33) True eval_realheapsort_step1_29.45(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.7(v_33,v_N ,v_j_0 ,v_33) True eval_realheapsort_step1_bb5_in.46(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop.47(v_33,v_N ,v_j_0 ,v_k_0) True Signature: {(eval_realheapsort_step1_0.2,4) ;(eval_realheapsort_step1_1.3,4) ;(eval_realheapsort_step1_2.4,4) ;(eval_realheapsort_step1_2.5,4) ;(eval_realheapsort_step1_28.44,4) ;(eval_realheapsort_step1_29.45,4) ;(eval_realheapsort_step1__critedge_in.43,4) ;(eval_realheapsort_step1_bb0_in.1,4) ;(eval_realheapsort_step1_bb1_in.6,4) ;(eval_realheapsort_step1_bb1_in.7,4) ;(eval_realheapsort_step1_bb2_in.8,4) ;(eval_realheapsort_step1_bb2_in.9,4) ;(eval_realheapsort_step1_bb3_in.10,4) ;(eval_realheapsort_step1_bb3_in.11,4) ;(eval_realheapsort_step1_bb3_in.12,4) ;(eval_realheapsort_step1_bb3_in.13,4) ;(eval_realheapsort_step1_bb3_in.14,4) ;(eval_realheapsort_step1_bb3_in.15,4) ;(eval_realheapsort_step1_bb4_in.16,4) ;(eval_realheapsort_step1_bb4_in.29,4) ;(eval_realheapsort_step1_bb4_in.42,4) ;(eval_realheapsort_step1_bb5_in.46,4) ;(eval_realheapsort_step1_start.0,4) ;(eval_realheapsort_step1_stop.47,4)} Rule Graph: [0->{1},1->{2},2->{3,4},3->{5},4->{6},5->{7,8},6->{27},7->{10,11},8->{12},9->{27},10->{14},11->{17} ,12->{23},13->{19},14->{20,21},15->{22},16->{23},17->{23},18->{23},19->{12},20->{10,11},21->{12},22->{12} ,23->{24},24->{25,26},25->{7,8},26->{9},27->{}] + Applied Processor: AddSinks + Details: () * Step 6: Decompose MAYBE + Considered Problem: Rules: eval_realheapsort_step1_start.0(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb0_in.1(v_33 ,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_bb0_in.1(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_0.2(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_0.2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_1.3(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_1.3(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2.4(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_1.3(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2.5(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_2.4(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.6(v_33,v_N ,v_j_0 ,1) [-1 + v_N >= 2] eval_realheapsort_step1_2.5(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.46(v_33,v_N ,v_j_0 ,v_k_0) [2 >= v_N] eval_realheapsort_step1_bb1_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.8(v_33,v_N ,v_k_0 ,v_k_0) [-1 + v_N >= v_k_0] eval_realheapsort_step1_bb1_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,v_k_0 ,v_k_0) [-1 + v_N >= v_k_0] eval_realheapsort_step1_bb1_in.7(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.46(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_k_0 >= -1 + v_N] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in.11(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_j_0 >= 0] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in.14(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_j_0 >= 0] eval_realheapsort_step1_bb2_in.9(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [0 >= v_j_0] eval_realheapsort_step1_bb3_in.10(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.16(v_33,v_N ,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in.11(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.29(v_33,v_N ,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in.12(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.42(v_33,v_N ,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb3_in.13(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in.14(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in.15(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb4_in.16(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [1 + v_j_0 = 0 && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] eval_realheapsort_step1_bb4_in.29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.8(v_33,v_N ,-1 + nondef_3 ,v_k_0) [v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_bb4_in.29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_bb4_in.42(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] eval_realheapsort_step1__critedge_in.43(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28.44(1 + v_k_0 ,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_28.44(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29.45(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_29.45(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.6(v_33,v_N ,v_j_0 ,v_33) True eval_realheapsort_step1_29.45(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.7(v_33,v_N ,v_j_0 ,v_33) True eval_realheapsort_step1_bb5_in.46(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop.47(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True Signature: {(eval_realheapsort_step1_0.2,4) ;(eval_realheapsort_step1_1.3,4) ;(eval_realheapsort_step1_2.4,4) ;(eval_realheapsort_step1_2.5,4) ;(eval_realheapsort_step1_28.44,4) ;(eval_realheapsort_step1_29.45,4) ;(eval_realheapsort_step1__critedge_in.43,4) ;(eval_realheapsort_step1_bb0_in.1,4) ;(eval_realheapsort_step1_bb1_in.6,4) ;(eval_realheapsort_step1_bb1_in.7,4) ;(eval_realheapsort_step1_bb2_in.8,4) ;(eval_realheapsort_step1_bb2_in.9,4) ;(eval_realheapsort_step1_bb3_in.10,4) ;(eval_realheapsort_step1_bb3_in.11,4) ;(eval_realheapsort_step1_bb3_in.12,4) ;(eval_realheapsort_step1_bb3_in.13,4) ;(eval_realheapsort_step1_bb3_in.14,4) ;(eval_realheapsort_step1_bb3_in.15,4) ;(eval_realheapsort_step1_bb4_in.16,4) ;(eval_realheapsort_step1_bb4_in.29,4) ;(eval_realheapsort_step1_bb4_in.42,4) ;(eval_realheapsort_step1_bb5_in.46,4) ;(eval_realheapsort_step1_start.0,4) ;(eval_realheapsort_step1_stop.47,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3,4},3->{5},4->{6},5->{7,8},6->{27},7->{10,11},8->{12},9->{27},10->{14},11->{17} ,12->{23},13->{19},14->{20,21},15->{22},16->{23},17->{23},18->{23},19->{12},20->{10,11},21->{12},22->{12} ,23->{24},24->{25,26},25->{7,8},26->{9},27->{28,29,30,31,32,33}] + Applied Processor: Decompose Greedy + Details: We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33] | `- p:[7,25,24,23,12,8,21,14,10,20,17,11] c: [7,8,11,12,17,21,23,24,25] | `- p:[10,20,14] c: [10,14,20] * Step 7: AbstractSize MAYBE + Considered Problem: (Rules: eval_realheapsort_step1_start.0(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb0_in.1(v_33 ,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_bb0_in.1(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_0.2(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_0.2(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_1.3(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_1.3(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2.4(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_1.3(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_2.5(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_2.4(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.6(v_33,v_N ,v_j_0 ,1) [-1 + v_N >= 2] eval_realheapsort_step1_2.5(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.46(v_33,v_N ,v_j_0 ,v_k_0) [2 >= v_N] eval_realheapsort_step1_bb1_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.8(v_33,v_N ,v_k_0 ,v_k_0) [-1 + v_N >= v_k_0] eval_realheapsort_step1_bb1_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,v_k_0 ,v_k_0) [-1 + v_N >= v_k_0] eval_realheapsort_step1_bb1_in.7(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.46(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_k_0 >= -1 + v_N] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in.11(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_j_0 >= 0] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb3_in.14(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_j_0 >= 0] eval_realheapsort_step1_bb2_in.9(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [0 >= v_j_0] eval_realheapsort_step1_bb3_in.10(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.16(v_33,v_N ,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in.11(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.29(v_33,v_N ,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in.12(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb4_in.42(v_33,v_N ,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb3_in.13(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [1 + v_j_0 = 0 && nondef_0 = 0] eval_realheapsort_step1_bb3_in.14(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] eval_realheapsort_step1_bb3_in.15(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.43(v_33 ,v_N,v_j_0 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_0 && -1 + 2*nondef_0 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_0 + -1*v_j_0] eval_realheapsort_step1_bb4_in.16(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [1 + v_j_0 = 0 && nondef_1 = 0 && 1 + v_j_0 = 0 && nondef_2 = 0 && 1 + v_j_0 = 0 && nondef_3 = 0] eval_realheapsort_step1_bb4_in.29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.8(v_33,v_N ,-1 + nondef_3 ,v_k_0) [v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_bb4_in.29(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && v_j_0 >= 0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && v_j_0 >= 0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_bb4_in.42(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb2_in.9(v_33,v_N ,-1 + nondef_3 ,v_k_0) [-1 >= 1 + v_j_0 && 0 >= nondef_1 && -1 + 2*nondef_1 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_1 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_2 && -1 + 2*nondef_2 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_2 + -1*v_j_0 && -1 >= 1 + v_j_0 && 0 >= nondef_3 && -1 + 2*nondef_3 + -1*v_j_0 >= 0 && 1 >= -1 + 2*nondef_3 + -1*v_j_0] eval_realheapsort_step1__critedge_in.43(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28.44(1 + v_k_0 ,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_28.44(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29.45(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_29.45(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.6(v_33,v_N ,v_j_0 ,v_33) True eval_realheapsort_step1_29.45(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.7(v_33,v_N ,v_j_0 ,v_33) True eval_realheapsort_step1_bb5_in.46(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop.47(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True eval_realheapsort_step1_stop.47(v_33,v_N,v_j_0,v_k_0) -> exitus616(v_33,v_N,v_j_0 ,v_k_0) True Signature: {(eval_realheapsort_step1_0.2,4) ;(eval_realheapsort_step1_1.3,4) ;(eval_realheapsort_step1_2.4,4) ;(eval_realheapsort_step1_2.5,4) ;(eval_realheapsort_step1_28.44,4) ;(eval_realheapsort_step1_29.45,4) ;(eval_realheapsort_step1__critedge_in.43,4) ;(eval_realheapsort_step1_bb0_in.1,4) ;(eval_realheapsort_step1_bb1_in.6,4) ;(eval_realheapsort_step1_bb1_in.7,4) ;(eval_realheapsort_step1_bb2_in.8,4) ;(eval_realheapsort_step1_bb2_in.9,4) ;(eval_realheapsort_step1_bb3_in.10,4) ;(eval_realheapsort_step1_bb3_in.11,4) ;(eval_realheapsort_step1_bb3_in.12,4) ;(eval_realheapsort_step1_bb3_in.13,4) ;(eval_realheapsort_step1_bb3_in.14,4) ;(eval_realheapsort_step1_bb3_in.15,4) ;(eval_realheapsort_step1_bb4_in.16,4) ;(eval_realheapsort_step1_bb4_in.29,4) ;(eval_realheapsort_step1_bb4_in.42,4) ;(eval_realheapsort_step1_bb5_in.46,4) ;(eval_realheapsort_step1_start.0,4) ;(eval_realheapsort_step1_stop.47,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3,4},3->{5},4->{6},5->{7,8},6->{27},7->{10,11},8->{12},9->{27},10->{14},11->{17} ,12->{23},13->{19},14->{20,21},15->{22},16->{23},17->{23},18->{23},19->{12},20->{10,11},21->{12},22->{12} ,23->{24},24->{25,26},25->{7,8},26->{9},27->{28,29,30,31,32,33}] ,We construct a looptree: P: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33] | `- p:[7,25,24,23,12,8,21,14,10,20,17,11] c: [7,8,11,12,17,21,23,24,25] | `- p:[10,20,14] c: [10,14,20]) + Applied Processor: AbstractSize Minimize + Details: () * Step 8: AbstractFlow MAYBE + Considered Problem: Program: Domain: [v_33,v_N,v_j_0,v_k_0,0.0,0.0.0] eval_realheapsort_step1_start.0 ~> eval_realheapsort_step1_bb0_in.1 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb0_in.1 ~> eval_realheapsort_step1_0.2 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_0.2 ~> eval_realheapsort_step1_1.3 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_1.3 ~> eval_realheapsort_step1_2.4 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_1.3 ~> eval_realheapsort_step1_2.5 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_2.4 ~> eval_realheapsort_step1_bb1_in.6 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= K] eval_realheapsort_step1_2.5 ~> eval_realheapsort_step1_bb5_in.46 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.8 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_k_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_k_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb1_in.7 ~> eval_realheapsort_step1_bb5_in.46 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.11 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.14 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1__critedge_in.43 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.10 ~> eval_realheapsort_step1_bb4_in.16 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1_bb4_in.29 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.12 ~> eval_realheapsort_step1_bb4_in.42 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.13 ~> eval_realheapsort_step1__critedge_in.43 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.14 ~> eval_realheapsort_step1__critedge_in.43 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.15 ~> eval_realheapsort_step1__critedge_in.43 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.16 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= K, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.8 [v_33 <= v_33, v_N <= v_N, v_j_0 <= K + v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= K + v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.42 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1__critedge_in.43 ~> eval_realheapsort_step1_28.44 [v_33 <= K + v_k_0, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_28.44 ~> eval_realheapsort_step1_29.45 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_29.45 ~> eval_realheapsort_step1_bb1_in.6 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_33] eval_realheapsort_step1_29.45 ~> eval_realheapsort_step1_bb1_in.7 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_33] eval_realheapsort_step1_bb5_in.46 ~> eval_realheapsort_step1_stop.47 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_stop.47 ~> exitus616 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_stop.47 ~> exitus616 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_stop.47 ~> exitus616 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_stop.47 ~> exitus616 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_stop.47 ~> exitus616 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_stop.47 ~> exitus616 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] + Loop: [0.0 <= K + v_N + v_k_0] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.8 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_k_0, v_k_0 <= v_k_0] eval_realheapsort_step1_29.45 ~> eval_realheapsort_step1_bb1_in.6 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_33] eval_realheapsort_step1_28.44 ~> eval_realheapsort_step1_29.45 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1__critedge_in.43 ~> eval_realheapsort_step1_28.44 [v_33 <= K + v_k_0, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1__critedge_in.43 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_k_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= K + v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1_bb4_in.29 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.11 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.8 [v_33 <= v_33, v_N <= v_N, v_j_0 <= K + v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.14 ~> eval_realheapsort_step1__critedge_in.43 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.14 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] + Loop: [0.0.0 <= 2*v_j_0] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.11 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.8 [v_33 <= v_33, v_N <= v_N, v_j_0 <= K + v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1_bb4_in.29 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] + Applied Processor: AbstractFlow + Details: () * Step 9: Lare MAYBE + Considered Problem: Program: Domain: [tick,huge,K,v_33,v_N,v_j_0,v_k_0,0.0,0.0.0] eval_realheapsort_step1_start.0 ~> eval_realheapsort_step1_bb0_in.1 [] eval_realheapsort_step1_bb0_in.1 ~> eval_realheapsort_step1_0.2 [] eval_realheapsort_step1_0.2 ~> eval_realheapsort_step1_1.3 [] eval_realheapsort_step1_1.3 ~> eval_realheapsort_step1_2.4 [] eval_realheapsort_step1_1.3 ~> eval_realheapsort_step1_2.5 [] eval_realheapsort_step1_2.4 ~> eval_realheapsort_step1_bb1_in.6 [K ~=> v_k_0] eval_realheapsort_step1_2.5 ~> eval_realheapsort_step1_bb5_in.46 [] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.8 [v_k_0 ~=> v_j_0] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.9 [v_k_0 ~=> v_j_0] eval_realheapsort_step1_bb1_in.7 ~> eval_realheapsort_step1_bb5_in.46 [] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.11 [] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.14 [] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1__critedge_in.43 [] eval_realheapsort_step1_bb3_in.10 ~> eval_realheapsort_step1_bb4_in.16 [] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1_bb4_in.29 [] eval_realheapsort_step1_bb3_in.12 ~> eval_realheapsort_step1_bb4_in.42 [] eval_realheapsort_step1_bb3_in.13 ~> eval_realheapsort_step1__critedge_in.43 [] eval_realheapsort_step1_bb3_in.14 ~> eval_realheapsort_step1__critedge_in.43 [] eval_realheapsort_step1_bb3_in.15 ~> eval_realheapsort_step1__critedge_in.43 [] eval_realheapsort_step1_bb4_in.16 ~> eval_realheapsort_step1_bb2_in.9 [K ~=> v_j_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.8 [v_j_0 ~+> v_j_0 ,K ~+> v_j_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.9 [v_j_0 ~+> v_j_0 ,K ~+> v_j_0] eval_realheapsort_step1_bb4_in.42 ~> eval_realheapsort_step1_bb2_in.9 [] eval_realheapsort_step1__critedge_in.43 ~> eval_realheapsort_step1_28.44 [v_k_0 ~+> v_33 ,K ~+> v_33] eval_realheapsort_step1_28.44 ~> eval_realheapsort_step1_29.45 [] eval_realheapsort_step1_29.45 ~> eval_realheapsort_step1_bb1_in.6 [v_33 ~=> v_k_0] eval_realheapsort_step1_29.45 ~> eval_realheapsort_step1_bb1_in.7 [v_33 ~=> v_k_0] eval_realheapsort_step1_bb5_in.46 ~> eval_realheapsort_step1_stop.47 [] eval_realheapsort_step1_stop.47 ~> exitus616 [] eval_realheapsort_step1_stop.47 ~> exitus616 [] eval_realheapsort_step1_stop.47 ~> exitus616 [] eval_realheapsort_step1_stop.47 ~> exitus616 [] eval_realheapsort_step1_stop.47 ~> exitus616 [] eval_realheapsort_step1_stop.47 ~> exitus616 [] + Loop: [v_N ~+> 0.0,v_k_0 ~+> 0.0,K ~+> 0.0] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.8 [v_k_0 ~=> v_j_0] eval_realheapsort_step1_29.45 ~> eval_realheapsort_step1_bb1_in.6 [v_33 ~=> v_k_0] eval_realheapsort_step1_28.44 ~> eval_realheapsort_step1_29.45 [] eval_realheapsort_step1__critedge_in.43 ~> eval_realheapsort_step1_28.44 [v_k_0 ~+> v_33 ,K ~+> v_33] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1__critedge_in.43 [] eval_realheapsort_step1_bb1_in.6 ~> eval_realheapsort_step1_bb2_in.9 [v_k_0 ~=> v_j_0] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.9 [v_j_0 ~+> v_j_0 ,K ~+> v_j_0] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1_bb4_in.29 [] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.11 [] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.8 [v_j_0 ~+> v_j_0 ,K ~+> v_j_0] eval_realheapsort_step1_bb3_in.14 ~> eval_realheapsort_step1__critedge_in.43 [] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.14 [] + Loop: [v_j_0 ~*> 0.0.0] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1_bb3_in.11 [] eval_realheapsort_step1_bb4_in.29 ~> eval_realheapsort_step1_bb2_in.8 [v_j_0 ~+> v_j_0 ,K ~+> v_j_0] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1_bb4_in.29 [] + Applied Processor: Lare + Details: eval_realheapsort_step1_bb3_in.13 ~> exitus616 [v_33 ~=> v_k_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> v_33 ,v_k_0 ~+> v_j_0 ,v_k_0 ~+> v_k_0 ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> v_33 ,v_k_0 ~*> v_j_0 ,v_k_0 ~*> v_k_0 ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,v_k_0 ~^> v_j_0 ,v_k_0 ~^> 0.0.0 ,v_k_0 ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] eval_realheapsort_step1_bb3_in.15 ~> exitus616 [v_33 ~=> v_k_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> v_33 ,v_k_0 ~+> v_j_0 ,v_k_0 ~+> v_k_0 ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> v_33 ,v_k_0 ~*> v_j_0 ,v_k_0 ~*> v_k_0 ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,v_k_0 ~^> v_j_0 ,v_k_0 ~^> 0.0.0 ,v_k_0 ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] eval_realheapsort_step1_start.0 ~> exitus616 [v_33 ~=> v_j_0 ,v_33 ~=> v_k_0 ,K ~=> v_j_0 ,v_33 ~+> v_33 ,v_33 ~+> v_j_0 ,v_33 ~+> v_k_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_33 ~*> v_j_0 ,v_33 ~*> 0.0.0 ,v_33 ~*> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] eval_realheapsort_step1_bb3_in.12 ~> exitus616 [v_33 ~=> v_k_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> v_33 ,v_k_0 ~+> v_j_0 ,v_k_0 ~+> v_k_0 ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> v_33 ,v_k_0 ~*> v_j_0 ,v_k_0 ~*> v_k_0 ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,v_k_0 ~^> v_j_0 ,v_k_0 ~^> 0.0.0 ,v_k_0 ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] eval_realheapsort_step1_bb3_in.10 ~> exitus616 [v_33 ~=> v_k_0 ,K ~=> v_j_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> v_33 ,v_k_0 ~+> v_j_0 ,v_k_0 ~+> v_k_0 ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> v_33 ,v_k_0 ~*> v_j_0 ,v_k_0 ~*> v_k_0 ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,v_k_0 ~^> v_j_0 ,v_k_0 ~^> 0.0.0 ,v_k_0 ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] + eval_realheapsort_step1_29.45> [v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> v_33 ,v_k_0 ~+> v_j_0 ,v_k_0 ~+> v_k_0 ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> v_33 ,v_k_0 ~*> v_j_0 ,v_k_0 ~*> v_k_0 ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,v_k_0 ~^> v_j_0 ,v_k_0 ~^> 0.0.0 ,v_k_0 ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] eval_realheapsort_step1_29.45> [v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> v_33 ,v_k_0 ~+> v_j_0 ,v_k_0 ~+> v_k_0 ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> v_33 ,v_k_0 ~*> v_j_0 ,v_k_0 ~*> v_k_0 ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,v_k_0 ~^> v_j_0 ,v_k_0 ~^> 0.0.0 ,v_k_0 ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] eval_realheapsort_step1_29.45> [v_33 ~=> v_j_0 ,v_33 ~=> v_k_0 ,v_k_0 ~=> v_j_0 ,v_33 ~+> v_33 ,v_33 ~+> v_j_0 ,v_33 ~+> v_k_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> v_33 ,v_k_0 ~+> v_j_0 ,v_k_0 ~+> v_k_0 ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> v_33 ,K ~+> v_j_0 ,K ~+> v_k_0 ,K ~+> 0.0 ,K ~+> tick ,v_33 ~*> v_j_0 ,v_33 ~*> 0.0.0 ,v_33 ~*> tick ,v_N ~*> v_33 ,v_N ~*> v_j_0 ,v_N ~*> v_k_0 ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> v_33 ,v_k_0 ~*> v_j_0 ,v_k_0 ~*> v_k_0 ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> v_33 ,K ~*> v_j_0 ,K ~*> v_k_0 ,K ~*> 0.0.0 ,K ~*> tick ,v_N ~^> v_j_0 ,v_N ~^> 0.0.0 ,v_N ~^> tick ,v_k_0 ~^> v_j_0 ,v_k_0 ~^> 0.0.0 ,v_k_0 ~^> tick ,K ~^> v_j_0 ,K ~^> 0.0.0 ,K ~^> tick] + eval_realheapsort_step1_bb2_in.8> [v_j_0 ~+> v_j_0 ,tick ~+> tick ,K ~+> v_j_0 ,v_j_0 ~*> v_j_0 ,v_j_0 ~*> 0.0.0 ,v_j_0 ~*> tick ,K ~*> v_j_0] eval_realheapsort_step1_bb4_in.29> [v_j_0 ~+> v_j_0 ,tick ~+> tick ,K ~+> v_j_0 ,v_j_0 ~*> v_j_0 ,v_j_0 ~*> 0.0.0 ,v_j_0 ~*> tick ,K ~*> v_j_0] YES(?,PRIMREC)