YES(?,POLY) * Step 1: UnsatPaths WORST_CASE(?,POLY) + 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_bb5_in(v_33,v_N,v_j_0,v_k_0) [2 >= v_N] (?,1) 5. 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) 6. 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) 7. 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_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_N >= v_k_0] (?,1) 8. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && 0 >= v_j_0] 9. 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_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -1 + v_j_0 >= 0] 10. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0] 11. 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_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] 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 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] 13. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] 14. 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_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 15. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] 16. 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 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_k_0 >= -1 + v_N] (?,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->{7,16},6->{},7->{8,9},8->{10},9->{11,12},10->{13},11->{10} ,12->{14},13->{15},14->{8,9},15->{7,16},16->{6}] + Applied Processor: UnsatPaths + Details: We remove following edges from the transition graph: [(5,16),(7,8)] * Step 2: FromIts WORST_CASE(?,POLY) + 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_bb5_in(v_33,v_N,v_j_0,v_k_0) [2 >= v_N] (?,1) 5. 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) 6. 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) 7. 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_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_N >= v_k_0] (?,1) 8. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && 0 >= v_j_0] 9. 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_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -1 + v_j_0 >= 0] 10. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0] 11. 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_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] 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 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_0 >= 0 && 1 + -2*nondef_0 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_0 + v_j_0] 13. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] 14. 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_N + -1*v_k_0 >= 0 (?,1) && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 15. 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) [-1 + v_N + -1*v_k_0 >= 0 (?,1) && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] 16. 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 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_k_0 >= -1 + v_N] (?,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->{7},6->{},7->{9},8->{10},9->{11,12},10->{13},11->{10},12->{14} ,13->{15},14->{8,9},15->{7,16},16->{6}] + Applied Processor: FromIts + Details: () * Step 3: Unfold WORST_CASE(?,POLY) + 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_bb5_in(v_33,v_N,v_j_0 ,v_k_0) [2 >= v_N] 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_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 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_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_N >= v_k_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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && 0 >= v_j_0] 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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -1 + v_j_0 >= 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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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_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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] 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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 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 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_k_0 >= -1 + v_N] 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->{7},6->{},7->{9},8->{10},9->{11,12},10->{13},11->{10},12->{14} ,13->{15},14->{8,9},15->{7,16},16->{6}] + Applied Processor: Unfold + Details: () * Step 4: AddSinks WORST_CASE(?,POLY) + 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_bb5_in.6(v_33,v_N ,v_j_0 ,v_k_0) [2 >= v_N] eval_realheapsort_step1_2.5(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.7(v_33,v_N ,v_j_0 ,1) [-1 + v_N >= 2] eval_realheapsort_step1_bb5_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop.17(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_bb1_in.7(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_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_N >= v_k_0] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.10(v_33 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && 0 >= v_j_0] eval_realheapsort_step1_bb2_in.9(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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 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_bb3_in.12(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -1 + v_j_0 >= 0] eval_realheapsort_step1__critedge_in.10(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28.13(1 + v_k_0 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0] eval_realheapsort_step1_bb3_in.11(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.10(v_33 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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.14(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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_28.13(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29.15(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_bb4_in.14(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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_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.14(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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_29.15(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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_29.15(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.16(v_33,v_N ,v_j_0 ,v_33) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_bb1_in.16(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.6(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_k_0 >= -1 + v_N] 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_28.13,4) ;(eval_realheapsort_step1_29.15,4) ;(eval_realheapsort_step1__critedge_in.10,4) ;(eval_realheapsort_step1_bb0_in.1,4) ;(eval_realheapsort_step1_bb1_in.16,4) ;(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.11,4) ;(eval_realheapsort_step1_bb3_in.12,4) ;(eval_realheapsort_step1_bb4_in.14,4) ;(eval_realheapsort_step1_bb5_in.6,4) ;(eval_realheapsort_step1_start.0,4) ;(eval_realheapsort_step1_stop.17,4)} Rule Graph: [0->{1},1->{2},2->{3,4},3->{5},4->{6},5->{7},6->{8},7->{},8->{10,11},9->{12},10->{13},11->{14},12->{15} ,13->{12},14->{16,17},15->{18,19},16->{9},17->{10,11},18->{8},19->{20},20->{7}] + Applied Processor: AddSinks + Details: () * Step 5: Decompose WORST_CASE(?,POLY) + 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_bb5_in.6(v_33,v_N ,v_j_0 ,v_k_0) [2 >= v_N] eval_realheapsort_step1_2.5(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.7(v_33,v_N ,v_j_0 ,1) [-1 + v_N >= 2] eval_realheapsort_step1_bb5_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop.17(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_bb1_in.7(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_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_N >= v_k_0] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.10(v_33 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && 0 >= v_j_0] eval_realheapsort_step1_bb2_in.9(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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 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_bb3_in.12(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -1 + v_j_0 >= 0] eval_realheapsort_step1__critedge_in.10(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28.13(1 + v_k_0 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0] eval_realheapsort_step1_bb3_in.11(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.10(v_33 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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.14(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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_28.13(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29.15(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_bb4_in.14(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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_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.14(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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_29.15(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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_29.15(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.16(v_33,v_N ,v_j_0 ,v_33) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_bb1_in.16(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.6(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_k_0 >= -1 + v_N] eval_realheapsort_step1_stop.17(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.17(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_28.13,4) ;(eval_realheapsort_step1_29.15,4) ;(eval_realheapsort_step1__critedge_in.10,4) ;(eval_realheapsort_step1_bb0_in.1,4) ;(eval_realheapsort_step1_bb1_in.16,4) ;(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.11,4) ;(eval_realheapsort_step1_bb3_in.12,4) ;(eval_realheapsort_step1_bb4_in.14,4) ;(eval_realheapsort_step1_bb5_in.6,4) ;(eval_realheapsort_step1_start.0,4) ;(eval_realheapsort_step1_stop.17,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3,4},3->{5},4->{6},5->{7},6->{8},7->{21,22},8->{10,11},9->{12},10->{13},11->{14} ,12->{15},13->{12},14->{16,17},15->{18,19},16->{9},17->{10,11},18->{8},19->{20},20->{7}] + 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] | `- p:[8,18,15,12,9,16,14,11,17,13,10] c: [8,9,10,12,13,15,16,18] | `- p:[11,17,14] c: [11,14,17] * Step 6: AbstractSize WORST_CASE(?,POLY) + 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_bb5_in.6(v_33,v_N ,v_j_0 ,v_k_0) [2 >= v_N] eval_realheapsort_step1_2.5(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.7(v_33,v_N ,v_j_0 ,1) [-1 + v_N >= 2] eval_realheapsort_step1_bb5_in.6(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_stop.17(v_33,v_N ,v_j_0 ,v_k_0) True eval_realheapsort_step1_bb1_in.7(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_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_N >= v_k_0] eval_realheapsort_step1_bb2_in.8(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.10(v_33 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && 0 >= v_j_0] eval_realheapsort_step1_bb2_in.9(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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 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_bb3_in.12(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -1 + v_j_0 >= 0] eval_realheapsort_step1__critedge_in.10(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_28.13(1 + v_k_0 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -3 + v_N >= 0] eval_realheapsort_step1_bb3_in.11(v_33,v_N,v_j_0 ,v_k_0) -> eval_realheapsort_step1__critedge_in.10(v_33 ,v_N,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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.14(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 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_28.13(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_29.15(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_bb4_in.14(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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_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.14(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_N + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -2 + v_j_0 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_j_0 >= 0 && -4 + v_N + v_j_0 >= 0 && -3 + v_N >= 0 && v_j_0 >= 0 && nondef_1 >= 0 && 1 + -2*nondef_1 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_1 + v_j_0 && nondef_2 >= 0 && 1 + -2*nondef_2 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_2 + v_j_0 && nondef_3 >= 0 && 1 + -2*nondef_3 + v_j_0 >= 0 && 1 >= 1 + -2*nondef_3 + v_j_0] eval_realheapsort_step1_29.15(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) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_29.15(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb1_in.16(v_33,v_N ,v_j_0 ,v_33) [-1 + v_N + -1*v_k_0 >= 0 && -1 + v_33 + -1*v_k_0 >= 0 && -1 + v_k_0 >= 0 && -1*v_j_0 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_33 + v_k_0 >= 0 && 1 + -1*v_33 + v_k_0 >= 0 && -1 + v_N + -1*v_j_0 >= 0 && -1 + v_33 + -1*v_j_0 >= 0 && -3 + v_N >= 0 && -5 + v_33 + v_N >= 0 && -1*v_33 + v_N >= 0 && -2 + v_33 >= 0] eval_realheapsort_step1_bb1_in.16(v_33,v_N,v_j_0,v_k_0) -> eval_realheapsort_step1_bb5_in.6(v_33,v_N ,v_j_0 ,v_k_0) [-1 + v_k_0 >= 0 && -4 + v_N + v_k_0 >= 0 && -3 + v_N >= 0 && -1 + v_k_0 >= -1 + v_N] eval_realheapsort_step1_stop.17(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.17(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_28.13,4) ;(eval_realheapsort_step1_29.15,4) ;(eval_realheapsort_step1__critedge_in.10,4) ;(eval_realheapsort_step1_bb0_in.1,4) ;(eval_realheapsort_step1_bb1_in.16,4) ;(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.11,4) ;(eval_realheapsort_step1_bb3_in.12,4) ;(eval_realheapsort_step1_bb4_in.14,4) ;(eval_realheapsort_step1_bb5_in.6,4) ;(eval_realheapsort_step1_start.0,4) ;(eval_realheapsort_step1_stop.17,4) ;(exitus616,4)} Rule Graph: [0->{1},1->{2},2->{3,4},3->{5},4->{6},5->{7},6->{8},7->{21,22},8->{10,11},9->{12},10->{13},11->{14} ,12->{15},13->{12},14->{16,17},15->{18,19},16->{9},17->{10,11},18->{8},19->{20},20->{7}] ,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] | `- p:[8,18,15,12,9,16,14,11,17,13,10] c: [8,9,10,12,13,15,16,18] | `- p:[11,17,14] c: [11,14,17]) + Applied Processor: AbstractSize Minimize + Details: () * Step 7: AbstractFlow WORST_CASE(?,POLY) + 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_bb5_in.6 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_2.5 ~> eval_realheapsort_step1_bb1_in.7 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= K] eval_realheapsort_step1_bb5_in.6 ~> eval_realheapsort_step1_stop.17 [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.7 ~> 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_bb2_in.8 ~> eval_realheapsort_step1__critedge_in.10 [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_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.9 ~> eval_realheapsort_step1_bb3_in.12 [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.10 ~> eval_realheapsort_step1_28.13 [v_33 <= v_N, 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__critedge_in.10 [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.14 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_28.13 ~> eval_realheapsort_step1_29.15 [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.14 ~> eval_realheapsort_step1_bb2_in.8 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_N, v_k_0 <= v_k_0] eval_realheapsort_step1_bb4_in.14 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_N, v_k_0 <= v_k_0] eval_realheapsort_step1_29.15 ~> 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_29.15 ~> eval_realheapsort_step1_bb1_in.16 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_33] eval_realheapsort_step1_bb1_in.16 ~> eval_realheapsort_step1_bb5_in.6 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] eval_realheapsort_step1_stop.17 ~> 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.17 ~> 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.7 ~> 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_29.15 ~> 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_28.13 ~> eval_realheapsort_step1_29.15 [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.10 ~> eval_realheapsort_step1_28.13 [v_33 <= v_N, 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__critedge_in.10 [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.14 ~> eval_realheapsort_step1_bb2_in.8 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_N, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.12 ~> eval_realheapsort_step1_bb4_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_bb3_in.12 [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.14 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_N, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1__critedge_in.10 [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_bb3_in.11 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_j_0, v_k_0 <= v_k_0] + Loop: [0.0.0 <= K + 2*v_j_0] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1_bb3_in.12 [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.14 ~> eval_realheapsort_step1_bb2_in.9 [v_33 <= v_33, v_N <= v_N, v_j_0 <= v_N, v_k_0 <= v_k_0] eval_realheapsort_step1_bb3_in.12 ~> eval_realheapsort_step1_bb4_in.14 [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 8: Lare WORST_CASE(?,POLY) + 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_bb5_in.6 [] eval_realheapsort_step1_2.5 ~> eval_realheapsort_step1_bb1_in.7 [K ~=> v_k_0] eval_realheapsort_step1_bb5_in.6 ~> eval_realheapsort_step1_stop.17 [] eval_realheapsort_step1_bb1_in.7 ~> eval_realheapsort_step1_bb2_in.9 [v_k_0 ~=> v_j_0] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1__critedge_in.10 [] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1_bb3_in.11 [] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1_bb3_in.12 [] eval_realheapsort_step1__critedge_in.10 ~> eval_realheapsort_step1_28.13 [v_N ~=> v_33] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1__critedge_in.10 [] eval_realheapsort_step1_bb3_in.12 ~> eval_realheapsort_step1_bb4_in.14 [] eval_realheapsort_step1_28.13 ~> eval_realheapsort_step1_29.15 [] eval_realheapsort_step1_bb4_in.14 ~> eval_realheapsort_step1_bb2_in.8 [v_N ~=> v_j_0] eval_realheapsort_step1_bb4_in.14 ~> eval_realheapsort_step1_bb2_in.9 [v_N ~=> v_j_0] eval_realheapsort_step1_29.15 ~> eval_realheapsort_step1_bb1_in.7 [v_33 ~=> v_k_0] eval_realheapsort_step1_29.15 ~> eval_realheapsort_step1_bb1_in.16 [v_33 ~=> v_k_0] eval_realheapsort_step1_bb1_in.16 ~> eval_realheapsort_step1_bb5_in.6 [] eval_realheapsort_step1_stop.17 ~> exitus616 [] eval_realheapsort_step1_stop.17 ~> exitus616 [] + Loop: [v_N ~+> 0.0,v_k_0 ~+> 0.0,K ~+> 0.0] eval_realheapsort_step1_bb1_in.7 ~> eval_realheapsort_step1_bb2_in.9 [v_k_0 ~=> v_j_0] eval_realheapsort_step1_29.15 ~> eval_realheapsort_step1_bb1_in.7 [v_33 ~=> v_k_0] eval_realheapsort_step1_28.13 ~> eval_realheapsort_step1_29.15 [] eval_realheapsort_step1__critedge_in.10 ~> eval_realheapsort_step1_28.13 [v_N ~=> v_33] eval_realheapsort_step1_bb2_in.8 ~> eval_realheapsort_step1__critedge_in.10 [] eval_realheapsort_step1_bb4_in.14 ~> eval_realheapsort_step1_bb2_in.8 [v_N ~=> v_j_0] eval_realheapsort_step1_bb3_in.12 ~> eval_realheapsort_step1_bb4_in.14 [] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1_bb3_in.12 [] eval_realheapsort_step1_bb4_in.14 ~> eval_realheapsort_step1_bb2_in.9 [v_N ~=> v_j_0] eval_realheapsort_step1_bb3_in.11 ~> eval_realheapsort_step1__critedge_in.10 [] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1_bb3_in.11 [] + Loop: [K ~+> 0.0.0,v_j_0 ~*> 0.0.0] eval_realheapsort_step1_bb2_in.9 ~> eval_realheapsort_step1_bb3_in.12 [] eval_realheapsort_step1_bb4_in.14 ~> eval_realheapsort_step1_bb2_in.9 [v_N ~=> v_j_0] eval_realheapsort_step1_bb3_in.12 ~> eval_realheapsort_step1_bb4_in.14 [] + Applied Processor: Lare + Details: eval_realheapsort_step1_start.0 ~> exitus616 [v_33 ~=> v_j_0 ,v_33 ~=> v_k_0 ,v_N ~=> v_33 ,v_N ~=> v_j_0 ,v_N ~=> v_k_0 ,K ~=> v_j_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_33 ~*> 0.0.0 ,v_33 ~*> tick ,v_N ~*> 0.0.0 ,v_N ~*> tick ,K ~*> 0.0 ,K ~*> 0.0.0 ,K ~*> tick] + eval_realheapsort_step1_29.15> [v_33 ~=> v_j_0 ,v_33 ~=> v_k_0 ,v_N ~=> v_33 ,v_N ~=> v_j_0 ,v_N ~=> v_k_0 ,v_k_0 ~=> v_j_0 ,v_N ~+> 0.0 ,v_N ~+> tick ,v_k_0 ~+> 0.0 ,v_k_0 ~+> tick ,tick ~+> tick ,K ~+> 0.0 ,K ~+> 0.0.0 ,K ~+> tick ,v_33 ~*> 0.0.0 ,v_33 ~*> tick ,v_N ~*> 0.0.0 ,v_N ~*> tick ,v_k_0 ~*> 0.0.0 ,v_k_0 ~*> tick ,K ~*> tick] + eval_realheapsort_step1_bb2_in.9> [v_N ~=> v_j_0 ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick ,v_j_0 ~*> 0.0.0 ,v_j_0 ~*> tick] eval_realheapsort_step1_bb4_in.14> [v_N ~=> v_j_0 ,tick ~+> tick ,K ~+> 0.0.0 ,K ~+> tick ,v_j_0 ~*> 0.0.0 ,v_j_0 ~*> tick] YES(?,POLY)