2.21/2.26	WORST_CASE(?,O(n^2))  
2.21/2.26	
2.21/2.26	Preprocessing Cost Relations
2.21/2.26	=====================================
2.21/2.26	
2.21/2.26	#### Computed strongly connected components 
2.21/2.26	0. non_recursive  : [eval_realheapsort_step2_stop/6]
2.21/2.26	1. non_recursive  : [eval_realheapsort_step2_bb12_in/6]
2.21/2.26	2. recursive  : [eval_realheapsort_step2_bb10_in/7,eval_realheapsort_step2_bb4_in/7,eval_realheapsort_step2_bb5_in/7,eval_realheapsort_step2_bb6_in/7,eval_realheapsort_step2_bb7_in/7,eval_realheapsort_step2_bb8_in/7,eval_realheapsort_step2_bb9_in/7]
2.21/2.26	3. recursive  : [eval_realheapsort_step2_58/10,eval_realheapsort_step2_59/10,eval_realheapsort_step2_bb11_in/10,eval_realheapsort_step2_bb2_in/10,eval_realheapsort_step2_bb3_in/10,eval_realheapsort_step2_bb4_in_loop_cont/11]
2.21/2.26	4. non_recursive  : [exit_location/1]
2.21/2.26	5. non_recursive  : [eval_realheapsort_step2_bb2_in_loop_cont/7]
2.21/2.26	6. non_recursive  : [eval_realheapsort_step2_12/6]
2.21/2.26	7. non_recursive  : [eval_realheapsort_step2_11/6]
2.21/2.26	8. non_recursive  : [eval_realheapsort_step2_10/6]
2.21/2.26	9. non_recursive  : [eval_realheapsort_step2_9/6]
2.21/2.26	10. non_recursive  : [eval_realheapsort_step2_8/6]
2.21/2.26	11. non_recursive  : [eval_realheapsort_step2_7/6]
2.21/2.26	12. non_recursive  : [eval_realheapsort_step2_6/6]
2.21/2.26	13. non_recursive  : [eval_realheapsort_step2_5/6]
2.21/2.26	14. non_recursive  : [eval_realheapsort_step2_4/6]
2.21/2.26	15. non_recursive  : [eval_realheapsort_step2_3/6]
2.21/2.26	16. non_recursive  : [eval_realheapsort_step2_bb1_in/6]
2.21/2.26	17. non_recursive  : [eval_realheapsort_step2_2/6]
2.21/2.26	18. non_recursive  : [eval_realheapsort_step2_1/6]
2.21/2.26	19. non_recursive  : [eval_realheapsort_step2_0/6]
2.21/2.26	20. non_recursive  : [eval_realheapsort_step2_bb0_in/6]
2.21/2.26	21. non_recursive  : [eval_realheapsort_step2_start/6]
2.21/2.26	
2.21/2.26	#### Obtained direct recursion through partial evaluation 
2.21/2.26	0. SCC is completely evaluated into other SCCs
2.21/2.26	1. SCC is completely evaluated into other SCCs
2.21/2.26	2. SCC is partially evaluated into eval_realheapsort_step2_bb4_in/7
2.21/2.26	3. SCC is partially evaluated into eval_realheapsort_step2_bb2_in/10
2.21/2.26	4. SCC is completely evaluated into other SCCs
2.21/2.26	5. SCC is partially evaluated into eval_realheapsort_step2_bb2_in_loop_cont/7
2.21/2.26	6. SCC is partially evaluated into eval_realheapsort_step2_12/6
2.21/2.26	7. SCC is completely evaluated into other SCCs
2.21/2.26	8. SCC is completely evaluated into other SCCs
2.21/2.26	9. SCC is completely evaluated into other SCCs
2.21/2.26	10. SCC is completely evaluated into other SCCs
2.21/2.26	11. SCC is completely evaluated into other SCCs
2.21/2.26	12. SCC is completely evaluated into other SCCs
2.21/2.26	13. SCC is completely evaluated into other SCCs
2.21/2.26	14. SCC is completely evaluated into other SCCs
2.21/2.26	15. SCC is completely evaluated into other SCCs
2.21/2.26	16. SCC is completely evaluated into other SCCs
2.21/2.26	17. SCC is partially evaluated into eval_realheapsort_step2_2/6
2.21/2.26	18. SCC is completely evaluated into other SCCs
2.21/2.26	19. SCC is completely evaluated into other SCCs
2.21/2.26	20. SCC is completely evaluated into other SCCs
2.21/2.26	21. SCC is partially evaluated into eval_realheapsort_step2_start/6
2.21/2.26	
2.21/2.26	Control-Flow Refinement of Cost Relations
2.21/2.26	=====================================
2.21/2.26	
2.21/2.26	### Specialization of cost equations eval_realheapsort_step2_bb4_in/7 
2.21/2.26	* CE 18 is refined into CE [19] 
2.21/2.26	* CE 17 is refined into CE [20] 
2.21/2.26	* CE 12 is refined into CE [21] 
2.21/2.26	* CE 14 is refined into CE [22] 
2.21/2.26	* CE 13 is refined into CE [23] 
2.21/2.26	* CE 15 is refined into CE [24] 
2.21/2.26	* CE 11 is refined into CE [25] 
2.21/2.26	* CE 16 is refined into CE [26] 
2.21/2.26	
2.21/2.26	
2.21/2.26	### Cost equations --> "Loop" of eval_realheapsort_step2_bb4_in/7 
2.21/2.26	* CEs [21] --> Loop 19 
2.21/2.26	* CEs [22] --> Loop 20 
2.21/2.26	* CEs [23] --> Loop 21 
2.21/2.26	* CEs [24] --> Loop 22 
2.21/2.26	* CEs [25] --> Loop 23 
2.21/2.26	* CEs [26] --> Loop 24 
2.21/2.26	* CEs [19] --> Loop 25 
2.21/2.26	* CEs [20] --> Loop 26 
2.21/2.26	
2.21/2.26	### Ranking functions of CR eval_realheapsort_step2_bb4_in(V_N,V_j_0,V_k_0,V_m_0,B,C,D) 
2.21/2.26	* RF of phase [22,24]: [V_N/2-V_j_0-3/2,V_N/2-V_j_0-V_k_0/2-3/2]
2.21/2.26	
2.21/2.26	#### Partial ranking functions of CR eval_realheapsort_step2_bb4_in(V_N,V_j_0,V_k_0,V_m_0,B,C,D) 
2.21/2.26	* Partial RF of phase [22,24]:
2.21/2.26	  - RF of loop [22:1,24:1]:
2.21/2.26	    V_N/2-V_j_0-3/2
2.21/2.26	    V_N/2-V_j_0-V_k_0/2-3/2
2.21/2.26	
2.21/2.26	
2.21/2.26	### Specialization of cost equations eval_realheapsort_step2_bb2_in/10 
2.21/2.26	* CE 7 is refined into CE [27] 
2.21/2.26	* CE 5 is refined into CE [28,29,30,31,32] 
2.21/2.26	* CE 8 is refined into CE [33] 
2.21/2.26	* CE 6 is refined into CE [34,35,36,37,38,39,40,41,42,43] 
2.21/2.26	
2.21/2.26	
2.21/2.26	### Cost equations --> "Loop" of eval_realheapsort_step2_bb2_in/10 
2.21/2.26	* CEs [43] --> Loop 27 
2.21/2.26	* CEs [39] --> Loop 28 
2.21/2.26	* CEs [42] --> Loop 29 
2.21/2.26	* CEs [41] --> Loop 30 
2.21/2.26	* CEs [40] --> Loop 31 
2.21/2.26	* CEs [37] --> Loop 32 
2.21/2.26	* CEs [38] --> Loop 33 
2.21/2.26	* CEs [35] --> Loop 34 
2.21/2.26	* CEs [34] --> Loop 35 
2.21/2.26	* CEs [36] --> Loop 36 
2.21/2.26	* CEs [27] --> Loop 37 
2.21/2.26	* CEs [31] --> Loop 38 
2.21/2.26	* CEs [30] --> Loop 39 
2.21/2.26	* CEs [32] --> Loop 40 
2.21/2.26	* CEs [29] --> Loop 41 
2.21/2.26	* CEs [33] --> Loop 42 
2.21/2.26	* CEs [28] --> Loop 43 
2.21/2.26	
2.21/2.26	### Ranking functions of CR eval_realheapsort_step2_bb2_in(V_57,V_N,V_j_0,V_k_0,V_m_0,B,C,D,E,F) 
2.21/2.26	* RF of phase [27,28,29,30,31,32,33]: [V_N-V_k_0-3]
2.21/2.26	
2.21/2.26	#### Partial ranking functions of CR eval_realheapsort_step2_bb2_in(V_57,V_N,V_j_0,V_k_0,V_m_0,B,C,D,E,F) 
2.21/2.26	* Partial RF of phase [27,28,29,30,31,32,33]:
2.21/2.26	  - RF of loop [27:1,28:1]:
2.21/2.26	    V_N-V_k_0-4
2.21/2.26	  - RF of loop [29:1,32:1,33:1]:
2.21/2.26	    V_N-V_k_0-3
2.21/2.26	  - RF of loop [30:1,31:1]:
2.21/2.26	    V_N-V_k_0-5
2.21/2.26	
2.21/2.26	
2.21/2.26	### Specialization of cost equations eval_realheapsort_step2_bb2_in_loop_cont/7 
2.21/2.26	* CE 9 is refined into CE [44] 
2.21/2.26	* CE 10 is refined into CE [45] 
2.21/2.26	
2.21/2.26	
2.21/2.26	### Cost equations --> "Loop" of eval_realheapsort_step2_bb2_in_loop_cont/7 
2.21/2.26	* CEs [44] --> Loop 44 
2.21/2.26	* CEs [45] --> Loop 45 
2.21/2.26	
2.21/2.26	### Ranking functions of CR eval_realheapsort_step2_bb2_in_loop_cont(A,B,C,D,E,F,G) 
2.21/2.26	
2.21/2.26	#### Partial ranking functions of CR eval_realheapsort_step2_bb2_in_loop_cont(A,B,C,D,E,F,G) 
2.21/2.26	
2.21/2.26	
2.21/2.26	### Specialization of cost equations eval_realheapsort_step2_12/6 
2.21/2.26	* CE 4 is refined into CE [46,47,48,49,50,51,52,53,54,55] 
2.21/2.26	
2.21/2.26	
2.21/2.26	### Cost equations --> "Loop" of eval_realheapsort_step2_12/6 
2.21/2.26	* CEs [53] --> Loop 46 
2.21/2.26	* CEs [52] --> Loop 47 
2.21/2.26	* CEs [51] --> Loop 48 
2.21/2.26	* CEs [50,55] --> Loop 49 
2.21/2.26	* CEs [48,49] --> Loop 50 
2.21/2.26	* CEs [46,47,54] --> Loop 51 
2.21/2.26	
2.21/2.26	### Ranking functions of CR eval_realheapsort_step2_12(V_57,V_N,V_j_0,V_k_0,V_m_0,B) 
2.21/2.26	
2.21/2.27	#### Partial ranking functions of CR eval_realheapsort_step2_12(V_57,V_N,V_j_0,V_k_0,V_m_0,B) 
2.21/2.27	
2.21/2.27	
2.21/2.27	### Specialization of cost equations eval_realheapsort_step2_2/6 
2.21/2.27	* CE 2 is refined into CE [56,57,58,59,60,61] 
2.21/2.27	* CE 3 is refined into CE [62] 
2.21/2.27	
2.21/2.27	
2.21/2.27	### Cost equations --> "Loop" of eval_realheapsort_step2_2/6 
2.21/2.27	* CEs [61] --> Loop 52 
2.21/2.27	* CEs [60] --> Loop 53 
2.21/2.27	* CEs [59] --> Loop 54 
2.21/2.27	* CEs [58] --> Loop 55 
2.21/2.27	* CEs [57] --> Loop 56 
2.21/2.27	* CEs [62] --> Loop 57 
2.21/2.27	* CEs [56] --> Loop 58 
2.21/2.27	
2.21/2.27	### Ranking functions of CR eval_realheapsort_step2_2(V_57,V_N,V_j_0,V_k_0,V_m_0,B) 
2.21/2.27	
2.21/2.27	#### Partial ranking functions of CR eval_realheapsort_step2_2(V_57,V_N,V_j_0,V_k_0,V_m_0,B) 
2.21/2.27	
2.21/2.27	
2.21/2.27	### Specialization of cost equations eval_realheapsort_step2_start/6 
2.21/2.27	* CE 1 is refined into CE [63,64,65,66,67,68,69] 
2.21/2.27	
2.21/2.27	
2.21/2.27	### Cost equations --> "Loop" of eval_realheapsort_step2_start/6 
2.21/2.27	* CEs [69] --> Loop 59 
2.21/2.27	* CEs [68] --> Loop 60 
2.21/2.27	* CEs [67] --> Loop 61 
2.21/2.27	* CEs [66] --> Loop 62 
2.21/2.27	* CEs [65] --> Loop 63 
2.21/2.27	* CEs [64] --> Loop 64 
2.21/2.27	* CEs [63] --> Loop 65 
2.21/2.27	
2.21/2.27	### Ranking functions of CR eval_realheapsort_step2_start(V_57,V_N,V_j_0,V_k_0,V_m_0,B) 
2.21/2.27	
2.21/2.27	#### Partial ranking functions of CR eval_realheapsort_step2_start(V_57,V_N,V_j_0,V_k_0,V_m_0,B) 
2.21/2.27	
2.21/2.27	
2.21/2.27	Computing Bounds
2.21/2.27	=====================================
2.21/2.27	
2.21/2.27	#### Cost of chains of eval_realheapsort_step2_bb4_in(V_N,V_j_0,V_k_0,V_m_0,B,C,D):
2.21/2.27	* Chain [[22,24],26]: 2*it(22)+0
2.21/2.27	  Such that:aux(1) =< V_N/2-V_j_0
2.21/2.27	aux(2) =< V_N/2-V_j_0-V_k_0/2
2.21/2.27	aux(5) =< -V_j_0+C
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(2)
2.21/2.27	it(22) =< aux(5)
2.21/2.27	
2.21/2.27	  with precondition: [B=2,C=D,V_j_0>=0,V_k_0>=0,C>=2*V_j_0+1,V_N>=2*V_j_0+V_k_0+4,V_k_0+2*C+2>=V_N,V_N>=V_k_0+C+2] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],25]: 2*it(22)+0
2.21/2.27	  Such that:aux(1) =< V_N/2-V_j_0
2.21/2.27	aux(2) =< V_N/2-V_j_0-V_k_0/2
2.21/2.27	aux(6) =< V_N-V_j_0-V_k_0
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(2)
2.21/2.27	it(22) =< aux(6)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_j_0>=0,V_k_0>=0,V_N>=2*V_j_0+V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],23,26]: 2*it(22)+1
2.21/2.27	  Such that:aux(1) =< -V_j_0+V_k_0/2+C/2+1
2.21/2.27	aux(2) =< -V_j_0+C/2+1
2.21/2.27	aux(7) =< -V_j_0+C/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(2)
2.21/2.27	it(22) =< aux(7)
2.21/2.27	
2.21/2.27	  with precondition: [B=2,V_N=V_k_0+C+2,V_N=V_k_0+D+2,V_j_0>=0,V_k_0>=0,V_N>=4*V_j_0+V_k_0+5] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],23,25]: 2*it(22)+1
2.21/2.27	  Such that:aux(1) =< V_N/2-V_j_0
2.21/2.27	aux(8) =< V_N/2-V_j_0-V_k_0/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(8)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_j_0>=0,V_k_0>=0,V_N>=4*V_j_0+V_k_0+5] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],21,26]: 2*it(22)+1
2.21/2.27	  Such that:aux(2) =< -V_j_0-V_k_0/2+C/2
2.21/2.27	aux(1) =< -V_j_0+C/2
2.21/2.27	aux(9) =< -V_j_0+D/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(2)
2.21/2.27	it(22) =< aux(9)
2.21/2.27	
2.21/2.27	  with precondition: [B=2,V_N=C,V_j_0>=0,V_k_0>=0,D>=4*V_j_0+4,V_N>=V_k_0+D+2] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],21,25]: 2*it(22)+1
2.21/2.27	  Such that:aux(1) =< V_N/2-V_j_0
2.21/2.27	aux(10) =< V_N/2-V_j_0-V_k_0/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(10)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_j_0>=0,V_k_0>=0,V_N>=4*V_j_0+V_k_0+6] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],20,26]: 2*it(22)+1
2.21/2.27	  Such that:aux(2) =< -V_j_0-V_k_0/2+C/2
2.21/2.27	aux(1) =< -V_j_0+C/2
2.21/2.27	aux(11) =< -V_j_0+D/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(2)
2.21/2.27	it(22) =< aux(11)
2.21/2.27	
2.21/2.27	  with precondition: [B=2,V_N=C,V_j_0>=0,V_k_0>=0,D>=4*V_j_0+3,V_N>=V_k_0+D+3] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],20,25]: 2*it(22)+1
2.21/2.27	  Such that:aux(1) =< V_N/2-V_j_0
2.21/2.27	aux(12) =< V_N/2-V_j_0-V_k_0/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(12)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_j_0>=0,V_k_0>=0,V_N>=4*V_j_0+V_k_0+6] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],19,26]: 2*it(22)+1
2.21/2.27	  Such that:aux(1) =< -V_j_0+C/2
2.21/2.27	aux(2) =< -V_j_0+D/2+1
2.21/2.27	aux(13) =< -V_j_0+D/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(2)
2.21/2.27	it(22) =< aux(13)
2.21/2.27	
2.21/2.27	  with precondition: [B=2,V_N=C,V_N=V_k_0+D+2,V_j_0>=0,V_k_0>=0,V_N>=4*V_j_0+V_k_0+5] 
2.21/2.27	
2.21/2.27	* Chain [[22,24],19,25]: 2*it(22)+1
2.21/2.27	  Such that:aux(1) =< V_N/2-V_j_0
2.21/2.27	aux(14) =< V_N/2-V_j_0-V_k_0/2
2.21/2.27	it(22) =< aux(1)
2.21/2.27	it(22) =< aux(14)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_j_0>=0,V_k_0>=0,V_N>=4*V_j_0+V_k_0+5] 
2.21/2.27	
2.21/2.27	* Chain [26]: 0
2.21/2.27	  with precondition: [B=2,D=V_m_0,V_j_0=C,V_N>=3,V_k_0>=0,V_N>=V_j_0,V_N>=V_k_0+2,4*V_N>=3*V_k_0+V_j_0+9,V_k_0+2*V_j_0+2>=V_N] 
2.21/2.27	
2.21/2.27	* Chain [25]: 0
2.21/2.27	  with precondition: [B=3,V_N>=3,V_j_0>=0,V_k_0>=0,V_N>=V_j_0,V_N>=V_k_0+2,4*V_N>=3*V_k_0+V_j_0+9] 
2.21/2.27	
2.21/2.27	* Chain [23,26]: 1
2.21/2.27	  with precondition: [B=2,C=2*V_j_0+1,C=D,V_k_0+C+2=V_N,C>=1,V_N>=C+2] 
2.21/2.27	
2.21/2.27	* Chain [23,25]: 1
2.21/2.27	  with precondition: [B=3,V_k_0+2*V_j_0+3=V_N,V_k_0>=0,V_N>=V_k_0+3] 
2.21/2.27	
2.21/2.27	* Chain [21,26]: 1
2.21/2.27	  with precondition: [B=2,V_N=C,2*V_j_0+2=D,V_j_0>=0,V_k_0>=0,V_N>=2*V_j_0+V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [21,25]: 1
2.21/2.27	  with precondition: [B=3,V_j_0>=0,V_k_0>=0,V_N>=2*V_j_0+V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [20,26]: 1
2.21/2.27	  with precondition: [B=2,V_N=C,2*V_j_0+1=D,V_j_0>=0,V_k_0>=0,V_N>=2*V_j_0+V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [20,25]: 1
2.21/2.27	  with precondition: [B=3,V_j_0>=0,V_k_0>=0,V_N>=2*V_j_0+V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [19,26]: 1
2.21/2.27	  with precondition: [B=2,D=2*V_j_0+1,V_N=C,V_N=V_k_0+D+2,D>=1,V_N>=D+2] 
2.21/2.27	
2.21/2.27	* Chain [19,25]: 1
2.21/2.27	  with precondition: [B=3,V_k_0+2*V_j_0+3=V_N,V_k_0>=0,V_N>=V_k_0+3] 
2.21/2.27	
2.21/2.27	
2.21/2.27	#### Cost of chains of eval_realheapsort_step2_bb2_in(V_57,V_N,V_j_0,V_k_0,V_m_0,B,C,D,E,F):
2.21/2.27	* Chain [[27,28,29,30,31,32,33],43]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+1
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(36) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(36)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],42]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+0
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(37) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(37)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],41]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+0
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(38) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(38)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],40]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+2*s(76)+1
2.21/2.27	  Such that:aux(39) =< V_N-V_k_0
2.21/2.27	aux(40) =< V_N/2
2.21/2.27	aux(41) =< V_N/2-V_k_0/2
2.21/2.27	s(75) =< aux(39)
2.21/2.27	s(75) =< aux(41)
2.21/2.27	s(76) =< aux(40)
2.21/2.27	s(76) =< s(75)
2.21/2.27	s(76) =< aux(39)
2.21/2.27	it(27) =< aux(39)
2.21/2.27	aux(33) =< aux(41)-3/2
2.21/2.27	aux(24) =< aux(40)
2.21/2.27	aux(23) =< aux(41)
2.21/2.27	aux(30) =< aux(41)-1
2.21/2.27	aux(27) =< aux(41)*2-2
2.21/2.27	s(57) =< it(27)*aux(40)
2.21/2.27	s(56) =< it(27)*aux(41)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+5] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],39]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+4*s(79)+1
2.21/2.27	  Such that:aux(42) =< V_N-V_k_0
2.21/2.27	aux(43) =< V_N/2
2.21/2.27	aux(44) =< V_N/2-V_k_0/2
2.21/2.27	s(78) =< aux(42)
2.21/2.27	s(78) =< aux(44)
2.21/2.27	s(79) =< aux(43)
2.21/2.27	s(79) =< s(78)
2.21/2.27	it(27) =< aux(42)
2.21/2.27	aux(33) =< aux(44)-3/2
2.21/2.27	aux(24) =< aux(43)
2.21/2.27	aux(23) =< aux(44)
2.21/2.27	aux(30) =< aux(44)-1
2.21/2.27	aux(27) =< aux(44)*2-2
2.21/2.27	s(57) =< it(27)*aux(43)
2.21/2.27	s(56) =< it(27)*aux(44)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+6] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],38]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+4*s(82)+1
2.21/2.27	  Such that:aux(45) =< V_N-V_k_0
2.21/2.27	aux(46) =< V_N/2
2.21/2.27	aux(47) =< V_N/2-V_k_0/2
2.21/2.27	s(81) =< aux(45)
2.21/2.27	s(81) =< aux(47)
2.21/2.27	s(82) =< aux(46)
2.21/2.27	s(82) =< s(81)
2.21/2.27	it(27) =< aux(45)
2.21/2.27	aux(33) =< aux(47)-3/2
2.21/2.27	aux(24) =< aux(46)
2.21/2.27	aux(23) =< aux(47)
2.21/2.27	aux(30) =< aux(47)-1
2.21/2.27	aux(27) =< aux(47)*2-2
2.21/2.27	s(57) =< it(27)*aux(46)
2.21/2.27	s(56) =< it(27)*aux(47)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+7] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],35,42]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+2
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(48) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(48)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],35,41]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+2
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(49) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(49)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],35,36,42]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+3
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(50) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(50)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],35,36,37]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+3
2.21/2.27	  Such that:aux(35) =< -V_k_0+C
2.21/2.27	aux(34) =< -V_k_0+C+1
2.21/2.27	aux(21) =< -V_k_0/2+C/2+1/2
2.21/2.27	aux(22) =< C/2+1/2
2.21/2.27	it(27) =< aux(34)
2.21/2.27	it(27) =< aux(35)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=4,D=0,F=1,V_N=C+1,V_N=E+1,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],34,42]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+2
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(51) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(51)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],34,41]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+2
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(52) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(52)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],34,36,42]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+3
2.21/2.27	  Such that:aux(22) =< V_N/2
2.21/2.27	aux(21) =< V_N/2-V_k_0/2
2.21/2.27	aux(53) =< V_N-V_k_0
2.21/2.27	it(27) =< aux(53)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [[27,28,29,30,31,32,33],34,36,37]: 13*it(27)+2*s(55)+2*s(58)+2*s(61)+2*s(65)+2*s(69)+3
2.21/2.27	  Such that:aux(35) =< -V_k_0+C
2.21/2.27	aux(34) =< -V_k_0+C+1
2.21/2.27	aux(21) =< -V_k_0/2+C/2+1/2
2.21/2.27	aux(22) =< C/2+1/2
2.21/2.27	it(27) =< aux(34)
2.21/2.27	it(27) =< aux(35)
2.21/2.27	aux(33) =< aux(21)-3/2
2.21/2.27	aux(24) =< aux(22)
2.21/2.27	aux(23) =< aux(21)
2.21/2.27	aux(30) =< aux(21)-1
2.21/2.27	aux(27) =< aux(21)*2-2
2.21/2.27	s(57) =< it(27)*aux(22)
2.21/2.27	s(56) =< it(27)*aux(21)
2.21/2.27	s(70) =< it(27)*aux(33)
2.21/2.27	s(60) =< it(27)*aux(24)
2.21/2.27	s(59) =< it(27)*aux(23)
2.21/2.27	s(66) =< it(27)*aux(30)
2.21/2.27	s(62) =< it(27)*aux(27)
2.21/2.27	s(69) =< s(60)
2.21/2.27	s(69) =< s(59)
2.21/2.27	s(69) =< s(70)
2.21/2.27	s(65) =< s(60)
2.21/2.27	s(65) =< s(59)
2.21/2.27	s(65) =< s(66)
2.21/2.27	s(61) =< s(60)
2.21/2.27	s(61) =< s(59)
2.21/2.27	s(61) =< s(62)
2.21/2.27	s(58) =< s(60)
2.21/2.27	s(58) =< s(59)
2.21/2.27	s(55) =< s(57)
2.21/2.27	s(55) =< s(56)
2.21/2.27	
2.21/2.27	  with precondition: [B=4,D=0,F=1,V_N=C+1,V_N=E+1,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [43]: 1
2.21/2.27	  with precondition: [B=3,V_k_0+3=V_N,V_k_0>=0] 
2.21/2.27	
2.21/2.27	* Chain [42]: 0
2.21/2.27	  with precondition: [B=3,V_N>=3,V_k_0>=0,V_N>=V_k_0+1] 
2.21/2.27	
2.21/2.27	* Chain [41]: 0
2.21/2.27	  with precondition: [B=3,V_N>=3,V_k_0>=0,V_N>=V_k_0+2] 
2.21/2.27	
2.21/2.27	* Chain [40]: 2*s(76)+1
2.21/2.27	  Such that:s(73) =< V_N-V_k_0
2.21/2.27	s(74) =< V_N/2
2.21/2.27	s(75) =< V_N/2-V_k_0/2
2.21/2.27	s(76) =< s(74)
2.21/2.27	s(76) =< s(75)
2.21/2.27	s(76) =< s(73)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+4] 
2.21/2.27	
2.21/2.27	* Chain [39]: 4*s(79)+1
2.21/2.27	  Such that:s(77) =< V_N/2
2.21/2.27	s(78) =< V_N/2-V_k_0/2
2.21/2.27	s(79) =< s(77)
2.21/2.27	s(79) =< s(78)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+5] 
2.21/2.27	
2.21/2.27	* Chain [38]: 4*s(82)+1
2.21/2.27	  Such that:s(80) =< V_N/2
2.21/2.27	s(81) =< V_N/2-V_k_0/2
2.21/2.27	s(82) =< s(80)
2.21/2.27	s(82) =< s(81)
2.21/2.27	
2.21/2.27	  with precondition: [B=3,V_k_0>=0,V_N>=V_k_0+6] 
2.21/2.27	
2.21/2.27	* Chain [35,42]: 2
2.21/2.27	  with precondition: [B=3,V_N=V_k_0+3,V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [35,41]: 2
2.21/2.27	  with precondition: [B=3,V_N=V_k_0+3,V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [35,36,42]: 3
2.21/2.27	  with precondition: [B=3,V_N=V_k_0+3,V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [35,36,37]: 3
2.21/2.27	  with precondition: [B=4,D=0,F=1,C+1=V_N,C=V_k_0+2,C=E,C>=2] 
2.21/2.27	
2.21/2.27	* Chain [34,42]: 2
2.21/2.27	  with precondition: [B=3,V_N=V_k_0+3,V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [34,41]: 2
2.21/2.27	  with precondition: [B=3,V_N=V_k_0+3,V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [34,36,42]: 3
2.21/2.27	  with precondition: [B=3,V_N=V_k_0+3,V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [34,36,37]: 3
2.21/2.27	  with precondition: [B=4,D=0,F=1,C+1=V_N,C=V_k_0+2,C=E,C>=2] 
2.21/2.27	
2.21/2.27	
2.21/2.27	#### Cost of chains of eval_realheapsort_step2_bb2_in_loop_cont(A,B,C,D,E,F,G):
2.21/2.27	* Chain [45]: 0
2.21/2.27	  with precondition: [A=3,C>=3] 
2.21/2.27	
2.21/2.27	* Chain [44]: 0
2.21/2.27	  with precondition: [A=4,C>=3] 
2.21/2.27	
2.21/2.27	
2.21/2.27	#### Cost of chains of eval_realheapsort_step2_12(V_57,V_N,V_j_0,V_k_0,V_m_0,B):
2.21/2.27	* Chain [51]: 3
2.21/2.27	  with precondition: [V_N=3] 
2.21/2.27	
2.21/2.27	* Chain [50]: 0
2.21/2.27	  with precondition: [V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [49]: 2*s(375)+143*s(376)+22*s(389)+22*s(390)+22*s(391)+22*s(392)+22*s(393)+3
2.21/2.27	  Such that:aux(68) =< V_N
2.21/2.27	aux(69) =< V_N/2
2.21/2.27	s(376) =< aux(68)
2.21/2.27	s(377) =< aux(69)-3/2
2.21/2.27	s(378) =< aux(69)
2.21/2.27	s(380) =< aux(69)-1
2.21/2.27	s(381) =< aux(69)*2-2
2.21/2.27	s(382) =< s(376)*aux(69)
2.21/2.27	s(384) =< s(376)*s(377)
2.21/2.27	s(385) =< s(376)*s(378)
2.21/2.27	s(387) =< s(376)*s(380)
2.21/2.27	s(388) =< s(376)*s(381)
2.21/2.27	s(389) =< s(385)
2.21/2.27	s(389) =< s(384)
2.21/2.27	s(390) =< s(385)
2.21/2.27	s(390) =< s(387)
2.21/2.27	s(391) =< s(385)
2.21/2.27	s(391) =< s(388)
2.21/2.27	s(392) =< s(385)
2.21/2.27	s(393) =< s(382)
2.21/2.27	s(375) =< aux(69)
2.21/2.27	s(375) =< aux(68)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=4] 
2.21/2.27	
2.21/2.27	* Chain [48]: 2*s(420)+13*s(421)+2*s(434)+2*s(435)+2*s(436)+2*s(437)+2*s(438)+4*s(439)+1
2.21/2.27	  Such that:s(416) =< V_N
2.21/2.27	aux(70) =< V_N/2
2.21/2.27	s(419) =< s(416)
2.21/2.27	s(419) =< aux(70)
2.21/2.27	s(420) =< aux(70)
2.21/2.27	s(420) =< s(419)
2.21/2.27	s(420) =< s(416)
2.21/2.27	s(421) =< s(416)
2.21/2.27	s(422) =< aux(70)-3/2
2.21/2.27	s(423) =< aux(70)
2.21/2.27	s(425) =< aux(70)-1
2.21/2.27	s(426) =< aux(70)*2-2
2.21/2.27	s(427) =< s(421)*aux(70)
2.21/2.27	s(429) =< s(421)*s(422)
2.21/2.27	s(430) =< s(421)*s(423)
2.21/2.27	s(432) =< s(421)*s(425)
2.21/2.27	s(433) =< s(421)*s(426)
2.21/2.27	s(434) =< s(430)
2.21/2.27	s(434) =< s(429)
2.21/2.27	s(435) =< s(430)
2.21/2.27	s(435) =< s(432)
2.21/2.27	s(436) =< s(430)
2.21/2.27	s(436) =< s(433)
2.21/2.27	s(437) =< s(430)
2.21/2.27	s(438) =< s(427)
2.21/2.27	s(439) =< aux(70)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=5] 
2.21/2.27	
2.21/2.27	* Chain [47]: 4*s(444)+13*s(445)+2*s(458)+2*s(459)+2*s(460)+2*s(461)+2*s(462)+4*s(463)+1
2.21/2.27	  Such that:s(440) =< V_N
2.21/2.27	aux(71) =< V_N/2
2.21/2.27	s(443) =< s(440)
2.21/2.27	s(443) =< aux(71)
2.21/2.27	s(444) =< aux(71)
2.21/2.27	s(444) =< s(443)
2.21/2.27	s(445) =< s(440)
2.21/2.27	s(446) =< aux(71)-3/2
2.21/2.27	s(447) =< aux(71)
2.21/2.27	s(449) =< aux(71)-1
2.21/2.27	s(450) =< aux(71)*2-2
2.21/2.27	s(451) =< s(445)*aux(71)
2.21/2.27	s(453) =< s(445)*s(446)
2.21/2.27	s(454) =< s(445)*s(447)
2.21/2.27	s(456) =< s(445)*s(449)
2.21/2.27	s(457) =< s(445)*s(450)
2.21/2.27	s(458) =< s(454)
2.21/2.27	s(458) =< s(453)
2.21/2.27	s(459) =< s(454)
2.21/2.27	s(459) =< s(456)
2.21/2.27	s(460) =< s(454)
2.21/2.27	s(460) =< s(457)
2.21/2.27	s(461) =< s(454)
2.21/2.27	s(462) =< s(451)
2.21/2.27	s(463) =< aux(71)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=6] 
2.21/2.27	
2.21/2.27	* Chain [46]: 4*s(468)+13*s(469)+2*s(482)+2*s(483)+2*s(484)+2*s(485)+2*s(486)+1
2.21/2.27	  Such that:s(464) =< V_N
2.21/2.27	aux(72) =< V_N/2
2.21/2.27	s(467) =< s(464)
2.21/2.27	s(467) =< aux(72)
2.21/2.27	s(468) =< aux(72)
2.21/2.27	s(468) =< s(467)
2.21/2.27	s(469) =< s(464)
2.21/2.27	s(470) =< aux(72)-3/2
2.21/2.27	s(471) =< aux(72)
2.21/2.27	s(473) =< aux(72)-1
2.21/2.27	s(474) =< aux(72)*2-2
2.21/2.27	s(475) =< s(469)*aux(72)
2.21/2.27	s(477) =< s(469)*s(470)
2.21/2.27	s(478) =< s(469)*s(471)
2.21/2.27	s(480) =< s(469)*s(473)
2.21/2.27	s(481) =< s(469)*s(474)
2.21/2.27	s(482) =< s(478)
2.21/2.27	s(482) =< s(477)
2.21/2.27	s(483) =< s(478)
2.21/2.27	s(483) =< s(480)
2.21/2.27	s(484) =< s(478)
2.21/2.27	s(484) =< s(481)
2.21/2.27	s(485) =< s(478)
2.21/2.27	s(486) =< s(475)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=7] 
2.21/2.27	
2.21/2.27	
2.21/2.27	#### Cost of chains of eval_realheapsort_step2_2(V_57,V_N,V_j_0,V_k_0,V_m_0,B):
2.21/2.27	* Chain [58]: 3
2.21/2.27	  with precondition: [V_N=3] 
2.21/2.27	
2.21/2.27	* Chain [57]: 0
2.21/2.27	  with precondition: [2>=V_N] 
2.21/2.27	
2.21/2.27	* Chain [56]: 0
2.21/2.27	  with precondition: [V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [55]: 143*s(489)+22*s(499)+22*s(500)+22*s(501)+22*s(502)+22*s(503)+2*s(504)+3
2.21/2.27	  Such that:s(487) =< V_N
2.21/2.27	s(488) =< V_N/2
2.21/2.27	s(489) =< s(487)
2.21/2.27	s(490) =< s(488)-3/2
2.21/2.27	s(491) =< s(488)
2.21/2.27	s(492) =< s(488)-1
2.21/2.27	s(493) =< s(488)*2-2
2.21/2.27	s(494) =< s(489)*s(488)
2.21/2.27	s(495) =< s(489)*s(490)
2.21/2.27	s(496) =< s(489)*s(491)
2.21/2.27	s(497) =< s(489)*s(492)
2.21/2.27	s(498) =< s(489)*s(493)
2.21/2.27	s(499) =< s(496)
2.21/2.27	s(499) =< s(495)
2.21/2.27	s(500) =< s(496)
2.21/2.27	s(500) =< s(497)
2.21/2.27	s(501) =< s(496)
2.21/2.27	s(501) =< s(498)
2.21/2.27	s(502) =< s(496)
2.21/2.27	s(503) =< s(494)
2.21/2.27	s(504) =< s(488)
2.21/2.27	s(504) =< s(487)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=4] 
2.21/2.27	
2.21/2.27	* Chain [54]: 2*s(508)+13*s(509)+2*s(519)+2*s(520)+2*s(521)+2*s(522)+2*s(523)+4*s(524)+1
2.21/2.27	  Such that:s(505) =< V_N
2.21/2.27	s(506) =< V_N/2
2.21/2.27	s(507) =< s(505)
2.21/2.27	s(507) =< s(506)
2.21/2.27	s(508) =< s(506)
2.21/2.27	s(508) =< s(507)
2.21/2.27	s(508) =< s(505)
2.21/2.27	s(509) =< s(505)
2.21/2.27	s(510) =< s(506)-3/2
2.21/2.27	s(511) =< s(506)
2.21/2.27	s(512) =< s(506)-1
2.21/2.27	s(513) =< s(506)*2-2
2.21/2.27	s(514) =< s(509)*s(506)
2.21/2.27	s(515) =< s(509)*s(510)
2.21/2.27	s(516) =< s(509)*s(511)
2.21/2.27	s(517) =< s(509)*s(512)
2.21/2.27	s(518) =< s(509)*s(513)
2.21/2.27	s(519) =< s(516)
2.21/2.27	s(519) =< s(515)
2.21/2.27	s(520) =< s(516)
2.21/2.27	s(520) =< s(517)
2.21/2.27	s(521) =< s(516)
2.21/2.27	s(521) =< s(518)
2.21/2.27	s(522) =< s(516)
2.21/2.27	s(523) =< s(514)
2.21/2.27	s(524) =< s(506)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=5] 
2.21/2.27	
2.21/2.27	* Chain [53]: 4*s(528)+13*s(529)+2*s(539)+2*s(540)+2*s(541)+2*s(542)+2*s(543)+4*s(544)+1
2.21/2.27	  Such that:s(525) =< V_N
2.21/2.27	s(526) =< V_N/2
2.21/2.27	s(527) =< s(525)
2.21/2.27	s(527) =< s(526)
2.21/2.27	s(528) =< s(526)
2.21/2.27	s(528) =< s(527)
2.21/2.27	s(529) =< s(525)
2.21/2.27	s(530) =< s(526)-3/2
2.21/2.27	s(531) =< s(526)
2.21/2.27	s(532) =< s(526)-1
2.21/2.27	s(533) =< s(526)*2-2
2.21/2.27	s(534) =< s(529)*s(526)
2.21/2.27	s(535) =< s(529)*s(530)
2.21/2.27	s(536) =< s(529)*s(531)
2.21/2.27	s(537) =< s(529)*s(532)
2.21/2.27	s(538) =< s(529)*s(533)
2.21/2.27	s(539) =< s(536)
2.21/2.27	s(539) =< s(535)
2.21/2.27	s(540) =< s(536)
2.21/2.27	s(540) =< s(537)
2.21/2.27	s(541) =< s(536)
2.21/2.27	s(541) =< s(538)
2.21/2.27	s(542) =< s(536)
2.21/2.27	s(543) =< s(534)
2.21/2.27	s(544) =< s(526)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=6] 
2.21/2.27	
2.21/2.27	* Chain [52]: 4*s(548)+13*s(549)+2*s(559)+2*s(560)+2*s(561)+2*s(562)+2*s(563)+1
2.21/2.27	  Such that:s(545) =< V_N
2.21/2.27	s(546) =< V_N/2
2.21/2.27	s(547) =< s(545)
2.21/2.27	s(547) =< s(546)
2.21/2.27	s(548) =< s(546)
2.21/2.27	s(548) =< s(547)
2.21/2.27	s(549) =< s(545)
2.21/2.27	s(550) =< s(546)-3/2
2.21/2.27	s(551) =< s(546)
2.21/2.27	s(552) =< s(546)-1
2.21/2.27	s(553) =< s(546)*2-2
2.21/2.27	s(554) =< s(549)*s(546)
2.21/2.27	s(555) =< s(549)*s(550)
2.21/2.27	s(556) =< s(549)*s(551)
2.21/2.27	s(557) =< s(549)*s(552)
2.21/2.27	s(558) =< s(549)*s(553)
2.21/2.27	s(559) =< s(556)
2.21/2.27	s(559) =< s(555)
2.21/2.27	s(560) =< s(556)
2.21/2.27	s(560) =< s(557)
2.21/2.27	s(561) =< s(556)
2.21/2.27	s(561) =< s(558)
2.21/2.27	s(562) =< s(556)
2.21/2.27	s(563) =< s(554)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=7] 
2.21/2.27	
2.21/2.27	
2.21/2.27	#### Cost of chains of eval_realheapsort_step2_start(V_57,V_N,V_j_0,V_k_0,V_m_0,B):
2.21/2.27	* Chain [65]: 3
2.21/2.27	  with precondition: [V_N=3] 
2.21/2.27	
2.21/2.27	* Chain [64]: 0
2.21/2.27	  with precondition: [2>=V_N] 
2.21/2.27	
2.21/2.27	* Chain [63]: 0
2.21/2.27	  with precondition: [V_N>=3] 
2.21/2.27	
2.21/2.27	* Chain [62]: 143*s(566)+22*s(576)+22*s(577)+22*s(578)+22*s(579)+22*s(580)+2*s(581)+3
2.21/2.27	  Such that:s(564) =< V_N
2.21/2.27	s(565) =< V_N/2
2.21/2.27	s(566) =< s(564)
2.21/2.27	s(567) =< s(565)-3/2
2.21/2.27	s(568) =< s(565)
2.21/2.27	s(569) =< s(565)-1
2.21/2.27	s(570) =< s(565)*2-2
2.21/2.27	s(571) =< s(566)*s(565)
2.21/2.27	s(572) =< s(566)*s(567)
2.21/2.27	s(573) =< s(566)*s(568)
2.21/2.27	s(574) =< s(566)*s(569)
2.21/2.27	s(575) =< s(566)*s(570)
2.21/2.27	s(576) =< s(573)
2.21/2.27	s(576) =< s(572)
2.21/2.27	s(577) =< s(573)
2.21/2.27	s(577) =< s(574)
2.21/2.27	s(578) =< s(573)
2.21/2.27	s(578) =< s(575)
2.21/2.27	s(579) =< s(573)
2.21/2.27	s(580) =< s(571)
2.21/2.27	s(581) =< s(565)
2.21/2.27	s(581) =< s(564)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=4] 
2.21/2.27	
2.21/2.27	* Chain [61]: 2*s(585)+13*s(586)+2*s(596)+2*s(597)+2*s(598)+2*s(599)+2*s(600)+4*s(601)+1
2.21/2.27	  Such that:s(582) =< V_N
2.21/2.27	s(583) =< V_N/2
2.21/2.27	s(584) =< s(582)
2.21/2.27	s(584) =< s(583)
2.21/2.27	s(585) =< s(583)
2.21/2.27	s(585) =< s(584)
2.21/2.27	s(585) =< s(582)
2.21/2.27	s(586) =< s(582)
2.21/2.27	s(587) =< s(583)-3/2
2.21/2.27	s(588) =< s(583)
2.21/2.27	s(589) =< s(583)-1
2.21/2.27	s(590) =< s(583)*2-2
2.21/2.27	s(591) =< s(586)*s(583)
2.21/2.27	s(592) =< s(586)*s(587)
2.21/2.27	s(593) =< s(586)*s(588)
2.21/2.27	s(594) =< s(586)*s(589)
2.21/2.27	s(595) =< s(586)*s(590)
2.21/2.27	s(596) =< s(593)
2.21/2.27	s(596) =< s(592)
2.21/2.27	s(597) =< s(593)
2.21/2.27	s(597) =< s(594)
2.21/2.27	s(598) =< s(593)
2.21/2.27	s(598) =< s(595)
2.21/2.27	s(599) =< s(593)
2.21/2.27	s(600) =< s(591)
2.21/2.27	s(601) =< s(583)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=5] 
2.21/2.27	
2.21/2.27	* Chain [60]: 4*s(605)+13*s(606)+2*s(616)+2*s(617)+2*s(618)+2*s(619)+2*s(620)+4*s(621)+1
2.21/2.27	  Such that:s(602) =< V_N
2.21/2.27	s(603) =< V_N/2
2.21/2.27	s(604) =< s(602)
2.21/2.27	s(604) =< s(603)
2.21/2.27	s(605) =< s(603)
2.21/2.27	s(605) =< s(604)
2.21/2.27	s(606) =< s(602)
2.21/2.27	s(607) =< s(603)-3/2
2.21/2.27	s(608) =< s(603)
2.21/2.27	s(609) =< s(603)-1
2.21/2.27	s(610) =< s(603)*2-2
2.21/2.27	s(611) =< s(606)*s(603)
2.21/2.27	s(612) =< s(606)*s(607)
2.21/2.27	s(613) =< s(606)*s(608)
2.21/2.27	s(614) =< s(606)*s(609)
2.21/2.27	s(615) =< s(606)*s(610)
2.21/2.27	s(616) =< s(613)
2.21/2.27	s(616) =< s(612)
2.21/2.27	s(617) =< s(613)
2.21/2.27	s(617) =< s(614)
2.21/2.27	s(618) =< s(613)
2.21/2.27	s(618) =< s(615)
2.21/2.27	s(619) =< s(613)
2.21/2.27	s(620) =< s(611)
2.21/2.27	s(621) =< s(603)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=6] 
2.21/2.27	
2.21/2.27	* Chain [59]: 4*s(625)+13*s(626)+2*s(636)+2*s(637)+2*s(638)+2*s(639)+2*s(640)+1
2.21/2.27	  Such that:s(622) =< V_N
2.21/2.27	s(623) =< V_N/2
2.21/2.27	s(624) =< s(622)
2.21/2.27	s(624) =< s(623)
2.21/2.27	s(625) =< s(623)
2.21/2.27	s(625) =< s(624)
2.21/2.27	s(626) =< s(622)
2.21/2.27	s(627) =< s(623)-3/2
2.21/2.27	s(628) =< s(623)
2.21/2.27	s(629) =< s(623)-1
2.21/2.27	s(630) =< s(623)*2-2
2.21/2.27	s(631) =< s(626)*s(623)
2.21/2.27	s(632) =< s(626)*s(627)
2.21/2.27	s(633) =< s(626)*s(628)
2.21/2.27	s(634) =< s(626)*s(629)
2.21/2.27	s(635) =< s(626)*s(630)
2.21/2.27	s(636) =< s(633)
2.21/2.27	s(636) =< s(632)
2.21/2.27	s(637) =< s(633)
2.21/2.27	s(637) =< s(634)
2.21/2.27	s(638) =< s(633)
2.21/2.27	s(638) =< s(635)
2.21/2.27	s(639) =< s(633)
2.21/2.27	s(640) =< s(631)
2.21/2.27	
2.21/2.27	  with precondition: [V_N>=7] 
2.21/2.27	
2.21/2.27	
2.21/2.27	Closed-form bounds of eval_realheapsort_step2_start(V_57,V_N,V_j_0,V_k_0,V_m_0,B): 
2.21/2.27	-------------------------------------
2.21/2.27	* Chain [65] with precondition: [V_N=3] 
2.21/2.27	    - Upper bound: 3 
2.21/2.27	    - Complexity: constant 
2.21/2.27	* Chain [64] with precondition: [2>=V_N] 
2.21/2.27	    - Upper bound: 0 
2.21/2.27	    - Complexity: constant 
2.21/2.27	* Chain [63] with precondition: [V_N>=3] 
2.21/2.27	    - Upper bound: 0 
2.21/2.27	    - Complexity: constant 
2.21/2.27	* Chain [62] with precondition: [V_N>=4] 
2.21/2.27	    - Upper bound: 143*V_N+3+V_N/2*(110*V_N)+V_N 
2.21/2.27	    - Complexity: n^2 
2.21/2.27	* Chain [61] with precondition: [V_N>=5] 
2.21/2.27	    - Upper bound: 13*V_N+1+V_N/2*(10*V_N)+3*V_N 
2.21/2.27	    - Complexity: n^2 
2.21/2.27	* Chain [60] with precondition: [V_N>=6] 
2.21/2.27	    - Upper bound: 13*V_N+1+V_N/2*(10*V_N)+4*V_N 
2.21/2.27	    - Complexity: n^2 
2.21/2.27	* Chain [59] with precondition: [V_N>=7] 
2.21/2.27	    - Upper bound: 13*V_N+1+V_N/2*(10*V_N)+2*V_N 
2.21/2.27	    - Complexity: n^2 
2.21/2.27	
2.21/2.27	### Maximum cost of eval_realheapsort_step2_start(V_57,V_N,V_j_0,V_k_0,V_m_0,B): max([2,nat(V_N)*10*nat(V_N/2)+nat(V_N)*13+nat(V_N/2)*2+max([nat(V_N/2)*6,nat(V_N)*130+2+nat(V_N)*100*nat(V_N/2)])])+1 
2.21/2.27	Asymptotic class: n^2 
2.21/2.27	* Total analysis performed in 2087 ms.
2.21/2.27	
2.28/2.37	EOF