/export/starexec/sandbox2/solver/bin/starexec_run_C /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^2)) Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [eval_sipmamergesort2_8/6,eval_sipmamergesort2_9/7,eval_sipmamergesort2_bb3_in/6,eval_sipmamergesort2_bb4_in/6,eval_sipmamergesort2_bb5_in/7,eval_sipmamergesort2_bb6_in/7] 1. recursive : [eval_sipmamergesort2_bb7_in/3,eval_sipmamergesort2_bb8_in/3] 2. recursive : [eval_sipmamergesort2_bb10_in/3,eval_sipmamergesort2_bb9_in/3] 3. recursive : [eval_sipmamergesort2_bb11_in/14,eval_sipmamergesort2_bb2_in/9,eval_sipmamergesort2_bb3_in_loop_cont/14,eval_sipmamergesort2_bb7_in_loop_cont/15,eval_sipmamergesort2_bb9_in_loop_cont/15] 4. recursive : [eval_sipmamergesort2_37/6,eval_sipmamergesort2_38/7,eval_sipmamergesort2_bb15_in/6,eval_sipmamergesort2_bb16_in/6,eval_sipmamergesort2_bb17_in/7,eval_sipmamergesort2_bb18_in/7] 5. recursive : [eval_sipmamergesort2_bb19_in/3,eval_sipmamergesort2_bb20_in/3] 6. recursive : [eval_sipmamergesort2_bb21_in/3,eval_sipmamergesort2_bb22_in/3] 7. recursive : [eval_sipmamergesort2_bb14_in/9,eval_sipmamergesort2_bb15_in_loop_cont/14,eval_sipmamergesort2_bb19_in_loop_cont/15,eval_sipmamergesort2_bb21_in_loop_cont/15,eval_sipmamergesort2_bb23_in/14] 8. recursive : [eval_sipmamergesort2_bb12_in/10,eval_sipmamergesort2_bb13_in/11,eval_sipmamergesort2_bb14_in_loop_cont/18,eval_sipmamergesort2_bb1_in/4,eval_sipmamergesort2_bb24_in/17,eval_sipmamergesort2_bb2_in_loop_cont/11] 9. recursive : [eval_sipmamergesort2_bb26_in/3,eval_sipmamergesort2_bb27_in/3] 10. non_recursive : [eval_sipmamergesort2_stop/1] 11. non_recursive : [eval_sipmamergesort2_bb28_in/1] 12. non_recursive : [eval_sipmamergesort2_bb26_in_loop_cont/2] 13. non_recursive : [eval_sipmamergesort2_bb25_in/3] 14. non_recursive : [eval_sipmamergesort2_bb1_in_loop_cont/4] 15. non_recursive : [eval_sipmamergesort2_bb0_in/2] 16. non_recursive : [eval_sipmamergesort2_start/2] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into eval_sipmamergesort2_bb3_in/6 1. SCC is partially evaluated into eval_sipmamergesort2_bb7_in/3 2. SCC is partially evaluated into eval_sipmamergesort2_bb9_in/3 3. SCC is partially evaluated into eval_sipmamergesort2_bb2_in/9 4. SCC is partially evaluated into eval_sipmamergesort2_bb15_in/6 5. SCC is partially evaluated into eval_sipmamergesort2_bb19_in/3 6. SCC is partially evaluated into eval_sipmamergesort2_bb21_in/3 7. SCC is partially evaluated into eval_sipmamergesort2_bb14_in/9 8. SCC is partially evaluated into eval_sipmamergesort2_bb1_in/4 9. SCC is partially evaluated into eval_sipmamergesort2_bb26_in/3 10. SCC is completely evaluated into other SCCs 11. SCC is completely evaluated into other SCCs 12. SCC is completely evaluated into other SCCs 13. SCC is partially evaluated into eval_sipmamergesort2_bb25_in/3 14. SCC is completely evaluated into other SCCs 15. SCC is partially evaluated into eval_sipmamergesort2_bb0_in/2 16. SCC is partially evaluated into eval_sipmamergesort2_start/2 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations eval_sipmamergesort2_bb3_in/6 * CE 25 is refined into CE [39] * CE 26 is refined into CE [40] * CE 24 is refined into CE [41] * CE 23 is refined into CE [42] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb3_in/6 * CEs [41] --> Loop 39 * CEs [42] --> Loop 40 * CEs [39] --> Loop 41 * CEs [40] --> Loop 42 ### Ranking functions of CR eval_sipmamergesort2_bb3_in(V_r_1,V_q_1,B,C,D,E) * RF of phase [39,40]: [V_r_1+V_q_1-1] #### Partial ranking functions of CR eval_sipmamergesort2_bb3_in(V_r_1,V_q_1,B,C,D,E) * Partial RF of phase [39,40]: - RF of loop [39:1]: V_r_1 - RF of loop [40:1]: V_q_1 ### Specialization of cost equations eval_sipmamergesort2_bb7_in/3 * CE 28 is refined into CE [43] * CE 27 is refined into CE [44] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb7_in/3 * CEs [44] --> Loop 43 * CEs [43] --> Loop 44 ### Ranking functions of CR eval_sipmamergesort2_bb7_in(V_r_3,B,C) * RF of phase [43]: [V_r_3] #### Partial ranking functions of CR eval_sipmamergesort2_bb7_in(V_r_3,B,C) * Partial RF of phase [43]: - RF of loop [43:1]: V_r_3 ### Specialization of cost equations eval_sipmamergesort2_bb9_in/3 * CE 30 is refined into CE [45] * CE 29 is refined into CE [46] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb9_in/3 * CEs [46] --> Loop 45 * CEs [45] --> Loop 46 ### Ranking functions of CR eval_sipmamergesort2_bb9_in(V_q_3,B,C) * RF of phase [45]: [V_q_3] #### Partial ranking functions of CR eval_sipmamergesort2_bb9_in(V_q_3,B,C) * Partial RF of phase [45]: - RF of loop [45:1]: V_q_3 ### Specialization of cost equations eval_sipmamergesort2_bb2_in/9 * CE 14 is refined into CE [47,48] * CE 13 is discarded (unfeasible) * CE 11 is refined into CE [49,50,51] * CE 9 is refined into CE [52,53,54] * CE 12 is refined into CE [55,56] * CE 10 is discarded (unfeasible) ### Cost equations --> "Loop" of eval_sipmamergesort2_bb2_in/9 * CEs [51] --> Loop 47 * CEs [56] --> Loop 48 * CEs [53,54] --> Loop 49 * CEs [52] --> Loop 50 * CEs [55] --> Loop 51 * CEs [50] --> Loop 52 * CEs [49] --> Loop 53 * CEs [47,48] --> Loop 54 ### Ranking functions of CR eval_sipmamergesort2_bb2_in(V_p_0,V_m_0,B,C,D,E,F,G,H) * RF of phase [54]: [V_m_0/2-1,-V_p_0+V_m_0/2] #### Partial ranking functions of CR eval_sipmamergesort2_bb2_in(V_p_0,V_m_0,B,C,D,E,F,G,H) * Partial RF of phase [54]: - RF of loop [54:1]: V_m_0/2-1 -V_p_0+V_m_0/2 ### Specialization of cost equations eval_sipmamergesort2_bb15_in/6 * CE 33 is refined into CE [57] * CE 34 is refined into CE [58] * CE 32 is refined into CE [59] * CE 31 is refined into CE [60] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb15_in/6 * CEs [59] --> Loop 55 * CEs [60] --> Loop 56 * CEs [57] --> Loop 57 * CEs [58] --> Loop 58 ### Ranking functions of CR eval_sipmamergesort2_bb15_in(V_r_5,V_q_5,B,C,D,E) * RF of phase [55,56]: [V_r_5+V_q_5-1] #### Partial ranking functions of CR eval_sipmamergesort2_bb15_in(V_r_5,V_q_5,B,C,D,E) * Partial RF of phase [55,56]: - RF of loop [55:1]: V_r_5 - RF of loop [56:1]: V_q_5 ### Specialization of cost equations eval_sipmamergesort2_bb19_in/3 * CE 36 is refined into CE [61] * CE 35 is refined into CE [62] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb19_in/3 * CEs [62] --> Loop 59 * CEs [61] --> Loop 60 ### Ranking functions of CR eval_sipmamergesort2_bb19_in(V_r_7,B,C) * RF of phase [59]: [V_r_7] #### Partial ranking functions of CR eval_sipmamergesort2_bb19_in(V_r_7,B,C) * Partial RF of phase [59]: - RF of loop [59:1]: V_r_7 ### Specialization of cost equations eval_sipmamergesort2_bb21_in/3 * CE 38 is refined into CE [63] * CE 37 is refined into CE [64] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb21_in/3 * CEs [64] --> Loop 61 * CEs [63] --> Loop 62 ### Ranking functions of CR eval_sipmamergesort2_bb21_in(V_q_7,B,C) * RF of phase [61]: [V_q_7] #### Partial ranking functions of CR eval_sipmamergesort2_bb21_in(V_q_7,B,C) * Partial RF of phase [61]: - RF of loop [61:1]: V_q_7 ### Specialization of cost equations eval_sipmamergesort2_bb14_in/9 * CE 20 is refined into CE [65,66] * CE 19 is discarded (unfeasible) * CE 17 is refined into CE [67,68,69] * CE 15 is refined into CE [70] * CE 18 is refined into CE [71,72] * CE 16 is discarded (unfeasible) ### Cost equations --> "Loop" of eval_sipmamergesort2_bb14_in/9 * CEs [69] --> Loop 63 * CEs [72] --> Loop 64 * CEs [70] --> Loop 65 * CEs [71] --> Loop 66 * CEs [68] --> Loop 67 * CEs [67] --> Loop 68 * CEs [65,66] --> Loop 69 ### Ranking functions of CR eval_sipmamergesort2_bb14_in(V_25,V_m_1,B,C,D,E,F,G,H) * RF of phase [69]: [-V_25/2+V_m_1/4,V_m_1/4-1] #### Partial ranking functions of CR eval_sipmamergesort2_bb14_in(V_25,V_m_1,B,C,D,E,F,G,H) * Partial RF of phase [69]: - RF of loop [69:1]: -V_25/2+V_m_1/4 V_m_1/4-1 ### Specialization of cost equations eval_sipmamergesort2_bb1_in/4 * CE 5 is refined into CE [73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92] * CE 3 is refined into CE [93,94,95,96,97,98,99] * CE 4 is refined into CE [100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb1_in/4 * CEs [114,120,132] --> Loop 70 * CEs [113,116,119,122,131,134] --> Loop 71 * CEs [115,117,121,123,133,135] --> Loop 72 * CEs [112,118,130] --> Loop 73 * CEs [102,108,126] --> Loop 74 * CEs [101,104,107,110,125,128] --> Loop 75 * CEs [103,105,109,111,127,129] --> Loop 76 * CEs [100,106,124] --> Loop 77 * CEs [84,86,90,92] --> Loop 78 * CEs [74,76] --> Loop 79 * CEs [80,82] --> Loop 80 * CEs [79,81,83,85,89,91] --> Loop 81 * CEs [73,75,77,78,87,88] --> Loop 82 * CEs [94,99] --> Loop 83 * CEs [96] --> Loop 84 * CEs [97] --> Loop 85 * CEs [93] --> Loop 86 * CEs [95,98] --> Loop 87 ### Ranking functions of CR eval_sipmamergesort2_bb1_in(V_n,V_p_0,B,C) * RF of phase [70,71,72,73,74,75,76,77]: [V_n/12-V_p_0/3] #### Partial ranking functions of CR eval_sipmamergesort2_bb1_in(V_n,V_p_0,B,C) * Partial RF of phase [70,71,72,73,74,75,76,77]: - RF of loop [70:1]: V_n/24-V_p_0/6 - RF of loop [71:1,75:1]: V_n/6-4/3*V_p_0+1/6 - RF of loop [72:1]: V_n/18-V_p_0/3 - RF of loop [73:1,77:1]: 2/9*V_n-4/3*V_p_0+1/9 - RF of loop [74:1]: V_n/12-V_p_0/3 - RF of loop [76:1]: V_n/9-2/3*V_p_0 ### Specialization of cost equations eval_sipmamergesort2_bb26_in/3 * CE 22 is refined into CE [136] * CE 21 is refined into CE [137] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb26_in/3 * CEs [137] --> Loop 88 * CEs [136] --> Loop 89 ### Ranking functions of CR eval_sipmamergesort2_bb26_in(V_n,V_i_8,B) * RF of phase [88]: [V_n-V_i_8+1] #### Partial ranking functions of CR eval_sipmamergesort2_bb26_in(V_n,V_i_8,B) * Partial RF of phase [88]: - RF of loop [88:1]: V_n-V_i_8+1 ### Specialization of cost equations eval_sipmamergesort2_bb25_in/3 * CE 7 is refined into CE [138] * CE 6 is refined into CE [139] * CE 8 is refined into CE [140,141] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb25_in/3 * CEs [138] --> Loop 90 * CEs [139] --> Loop 91 * CEs [141] --> Loop 92 * CEs [140] --> Loop 93 ### Ranking functions of CR eval_sipmamergesort2_bb25_in(V_n,V_up_0,B) #### Partial ranking functions of CR eval_sipmamergesort2_bb25_in(V_n,V_up_0,B) ### Specialization of cost equations eval_sipmamergesort2_bb0_in/2 * CE 2 is refined into CE [142,143,144,145,146,147,148,149,150,151,152] ### Cost equations --> "Loop" of eval_sipmamergesort2_bb0_in/2 * CEs [148] --> Loop 94 * CEs [150] --> Loop 95 * CEs [149] --> Loop 96 * CEs [151] --> Loop 97 * CEs [145] --> Loop 98 * CEs [146] --> Loop 99 * CEs [143] --> Loop 100 * CEs [147] --> Loop 101 * CEs [152] --> Loop 102 * CEs [144] --> Loop 103 * CEs [142] --> Loop 104 ### Ranking functions of CR eval_sipmamergesort2_bb0_in(V_n,B) #### Partial ranking functions of CR eval_sipmamergesort2_bb0_in(V_n,B) ### Specialization of cost equations eval_sipmamergesort2_start/2 * CE 1 is refined into CE [153,154,155,156,157,158,159,160,161,162,163] ### Cost equations --> "Loop" of eval_sipmamergesort2_start/2 * CEs [163] --> Loop 105 * CEs [162] --> Loop 106 * CEs [161] --> Loop 107 * CEs [160] --> Loop 108 * CEs [159] --> Loop 109 * CEs [158] --> Loop 110 * CEs [157] --> Loop 111 * CEs [156] --> Loop 112 * CEs [155] --> Loop 113 * CEs [154] --> Loop 114 * CEs [153] --> Loop 115 ### Ranking functions of CR eval_sipmamergesort2_start(V_n,B) #### Partial ranking functions of CR eval_sipmamergesort2_start(V_n,B) Computing Bounds ===================================== #### Cost of chains of eval_sipmamergesort2_bb3_in(V_r_1,V_q_1,B,C,D,E): * Chain [[39,40],42]: 1*it(39)+1*it(40)+0 Such that:it(39) =< V_r_1 aux(1) =< V_r_1+V_q_1 aux(2) =< V_r_1+V_q_1-D it(40) =< V_q_1-D it(39) =< aux(1) it(40) =< aux(1) it(39) =< aux(2) it(40) =< aux(2) with precondition: [B=7,C=0,E=0,V_r_1>=1,D>=1,V_q_1>=D] * Chain [[39,40],41]: 1*it(39)+1*it(40)+0 Such that:aux(1) =< V_r_1+V_q_1 aux(2) =< V_r_1+V_q_1-E it(39) =< V_r_1-E it(40) =< V_q_1 it(39) =< aux(1) it(40) =< aux(1) it(39) =< aux(2) it(40) =< aux(2) with precondition: [B=7,D=0,C=E,V_q_1>=1,C>=1,V_r_1>=C] * Chain [42]: 0 with precondition: [V_r_1=0,B=7,C=0,E=0,D=V_q_1] * Chain [41]: 0 with precondition: [B=7,V_r_1=C,V_q_1=D,V_r_1=E,0>=V_q_1,V_r_1>=0] #### Cost of chains of eval_sipmamergesort2_bb7_in(V_r_3,B,C): * Chain [[43],44]: 1*it(43)+0 Such that:it(43) =< V_r_3 with precondition: [B=6,C=0,V_r_3>=1] * Chain [44]: 0 with precondition: [B=6,V_r_3=C,0>=V_r_3] #### Cost of chains of eval_sipmamergesort2_bb9_in(V_q_3,B,C): * Chain [[45],46]: 1*it(45)+0 Such that:it(45) =< V_q_3 with precondition: [B=5,C=0,V_q_3>=1] * Chain [46]: 0 with precondition: [B=5,V_q_3=C,0>=V_q_3] #### Cost of chains of eval_sipmamergesort2_bb2_in(V_p_0,V_m_0,B,C,D,E,F,G,H): * Chain [[54],53]: 1*it(54)+1*s(1)+6*s(15)+0 Such that:aux(10) =< V_m_0/2 it(54) =< V_m_0/2-F aux(11) =< V_m_0/2-F/2 s(1) =< F aux(9) =< aux(10) it(54) =< aux(10) aux(9) =< aux(11) it(54) =< aux(11) s(16) =< aux(9)*2 s(15) =< aux(9) s(15) =< s(16) with precondition: [B=9,D=0,E=0,G=0,H=0,V_p_0=C,V_p_0=F,V_p_0>=1,V_m_0>=3*V_p_0] * Chain [[54],52]: 1*it(54)+6*s(15)+1*s(18)+2*s(21)+0 Such that:it(54) =< -V_p_0+V_m_0/2 s(18) =< -V_p_0+C aux(12) =< V_p_0 aux(10) =< V_m_0/2 aux(11) =< V_m_0/2-C/2 aux(13) =< C s(21) =< aux(12) s(21) =< aux(13) s(18) =< aux(13) aux(9) =< aux(10) it(54) =< aux(10) aux(9) =< aux(11) it(54) =< aux(11) s(16) =< aux(9)*2 s(15) =< aux(9) s(15) =< s(16) with precondition: [B=9,D=0,E=0,G=0,H=0,F>=1,C>=V_p_0+1,2*V_p_0>=C+1,V_p_0>=F,V_m_0>=2*V_p_0+C] * Chain [[54],51]: 1*it(54)+6*s(15)+3*s(23)+0 Such that:aux(15) =< V_p_0 aux(14) =< 2*V_p_0 aux(10) =< V_m_0/2 aux(16) =< -V_p_0+V_m_0/2 it(54) =< aux(16) s(23) =< aux(14) s(23) =< aux(15) aux(9) =< aux(10) it(54) =< aux(10) aux(9) =< aux(16) s(16) =< aux(9)*2 s(15) =< aux(9) s(15) =< s(16) with precondition: [B=9,D=0,E=0,G=0,H=0,2*V_p_0=C,F>=1,V_m_0>=4*V_p_0,V_p_0>=F] * Chain [[54],50]: 1*it(54)+6*s(15)+1*s(28)+0 Such that:it(54) =< -V_p_0+V_m_0/2 aux(10) =< V_m_0/2 aux(11) =< V_m_0/2-F/2 s(28) =< F aux(9) =< aux(10) it(54) =< aux(10) aux(9) =< aux(11) it(54) =< aux(11) s(16) =< aux(9)*2 s(15) =< aux(9) s(15) =< s(16) with precondition: [B=9,D=0,E=0,G=0,H=0,C=F,C>=1,V_p_0>=C+1,V_m_0>=2*V_p_0+C] * Chain [[54],48]: 1*it(54)+6*s(15)+3*s(31)+0 Such that:aux(18) =< V_p_0 aux(17) =< 2*V_p_0 aux(10) =< V_m_0/2 aux(19) =< -V_p_0+V_m_0/2 it(54) =< aux(19) s(31) =< aux(17) s(31) =< aux(18) aux(9) =< aux(10) it(54) =< aux(10) aux(9) =< aux(19) s(16) =< aux(9)*2 s(15) =< aux(9) s(15) =< s(16) with precondition: [B=9,D=0,F=0,G=0,H=0,2*V_p_0=C,E>=1,V_m_0>=4*V_p_0,V_p_0>=E] * Chain [[54],47]: 1*it(54)+6*s(15)+2*s(36)+1*s(37)+0 Such that:it(54) =< -V_p_0+V_m_0/2 aux(20) =< -V_p_0+C s(37) =< V_p_0 aux(10) =< V_m_0/2 aux(11) =< V_m_0/2-C/2 aux(21) =< C s(36) =< aux(20) s(36) =< aux(21) s(37) =< aux(21) aux(9) =< aux(10) it(54) =< aux(10) aux(9) =< aux(11) it(54) =< aux(11) s(16) =< aux(9)*2 s(15) =< aux(9) s(15) =< s(16) with precondition: [B=9,D=0,F=0,G=0,H=0,E>=1,2*V_p_0>=C+1,V_m_0>=2*V_p_0+C,C>=V_p_0+E] * Chain [53]: 1*s(1)+0 Such that:s(1) =< V_m_0 with precondition: [B=9,D=0,E=0,G=0,H=0,V_p_0=V_m_0,V_p_0=C,V_p_0=F,V_p_0>=1] * Chain [52]: 1*s(18)+2*s(21)+0 Such that:s(18) =< -V_p_0+V_m_0 aux(12) =< V_p_0 aux(13) =< V_m_0 s(21) =< aux(12) s(21) =< aux(13) s(18) =< aux(13) with precondition: [B=9,D=0,E=0,G=0,H=0,C=V_m_0,F>=1,C>=V_p_0+1,2*V_p_0>=C+1,V_p_0>=F] * Chain [51]: 3*s(23)+0 Such that:aux(14) =< V_m_0 aux(15) =< V_m_0/2 s(23) =< aux(14) s(23) =< aux(15) with precondition: [B=9,D=0,E=0,G=0,H=0,2*V_p_0=V_m_0,2*V_p_0=C,F>=1,V_p_0>=F] * Chain [50]: 1*s(28)+0 Such that:s(28) =< V_m_0 with precondition: [B=9,D=0,E=0,G=0,H=0,V_m_0=C,V_m_0=F,V_m_0>=1,V_p_0>=V_m_0+1] * Chain [49]: 0 with precondition: [B=9,D=0,E=0,G=0,V_m_0=C,V_m_0=F,V_m_0=H,0>=V_m_0,V_p_0>=1] * Chain [48]: 3*s(31)+0 Such that:aux(17) =< V_m_0 aux(18) =< V_m_0/2 s(31) =< aux(17) s(31) =< aux(18) with precondition: [B=9,D=0,F=0,G=0,H=0,2*V_p_0=V_m_0,2*V_p_0=C,E>=1,V_p_0>=E] * Chain [47]: 2*s(36)+1*s(37)+0 Such that:s(37) =< V_p_0 aux(20) =< -V_p_0+V_m_0 aux(21) =< V_m_0 s(36) =< aux(20) s(36) =< aux(21) s(37) =< aux(21) with precondition: [B=9,D=0,F=0,G=0,H=0,V_m_0=C,E>=1,2*V_p_0>=V_m_0+1,V_m_0>=V_p_0+E] #### Cost of chains of eval_sipmamergesort2_bb15_in(V_r_5,V_q_5,B,C,D,E): * Chain [[55,56],58]: 1*it(55)+1*it(56)+0 Such that:it(55) =< V_r_5 aux(22) =< V_r_5+V_q_5 aux(23) =< V_r_5+V_q_5-D it(56) =< V_q_5-D it(55) =< aux(22) it(56) =< aux(22) it(55) =< aux(23) it(56) =< aux(23) with precondition: [B=4,C=0,E=0,V_r_5>=1,D>=1,V_q_5>=D] * Chain [[55,56],57]: 1*it(55)+1*it(56)+0 Such that:aux(22) =< V_r_5+V_q_5 aux(23) =< V_r_5+V_q_5-E it(55) =< V_r_5-E it(56) =< V_q_5 it(55) =< aux(22) it(56) =< aux(22) it(55) =< aux(23) it(56) =< aux(23) with precondition: [B=4,D=0,C=E,V_q_5>=1,C>=1,V_r_5>=C] * Chain [58]: 0 with precondition: [V_r_5=0,B=4,C=0,E=0,D=V_q_5] #### Cost of chains of eval_sipmamergesort2_bb19_in(V_r_7,B,C): * Chain [[59],60]: 1*it(59)+0 Such that:it(59) =< V_r_7 with precondition: [B=3,C=0,V_r_7>=1] * Chain [60]: 0 with precondition: [B=3,V_r_7=C,0>=V_r_7] #### Cost of chains of eval_sipmamergesort2_bb21_in(V_q_7,B,C): * Chain [[61],62]: 1*it(61)+0 Such that:it(61) =< V_q_7 with precondition: [B=2,C=0,V_q_7>=1] * Chain [62]: 0 with precondition: [B=2,V_q_7=C,0>=V_q_7] #### Cost of chains of eval_sipmamergesort2_bb14_in(V_25,V_m_1,B,C,D,E,F,G,H): * Chain [[69],68]: 1*it(69)+1*s(39)+6*s(53)+0 Such that:aux(31) =< V_m_1/2 aux(32) =< V_m_1/2-F/2 it(69) =< V_m_1/4-F/2 s(39) =< F aux(30) =< aux(31) aux(30) =< aux(32) s(54) =< aux(30)*2 s(53) =< aux(30) s(53) =< s(54) with precondition: [B=8,D=0,E=0,G=0,H=0,V_25=C,V_25=F,V_25>=2,V_m_1>=3*V_25] * Chain [[69],67]: 1*it(69)+6*s(53)+1*s(56)+2*s(59)+0 Such that:s(56) =< -V_25+C aux(33) =< V_25 it(69) =< -V_25/2+V_m_1/4 aux(31) =< V_m_1/2 aux(32) =< V_m_1/2-C/2 aux(34) =< C s(59) =< aux(33) s(59) =< aux(34) s(56) =< aux(34) aux(30) =< aux(31) aux(30) =< aux(32) s(54) =< aux(30)*2 s(53) =< aux(30) s(53) =< s(54) with precondition: [B=8,D=0,E=0,G=0,H=0,F>=1,C>=V_25+1,2*V_25>=C+1,V_25>=F,V_m_1>=2*V_25+C] * Chain [[69],66]: 1*it(69)+6*s(53)+3*s(61)+0 Such that:aux(32) =< -V_25+V_m_1/2 aux(36) =< V_25 aux(35) =< 2*V_25 it(69) =< -V_25/2+V_m_1/4 aux(31) =< V_m_1/2 s(61) =< aux(35) s(61) =< aux(36) aux(30) =< aux(31) aux(30) =< aux(32) s(54) =< aux(30)*2 s(53) =< aux(30) s(53) =< s(54) with precondition: [B=8,D=0,E=0,G=0,H=0,2*V_25=C,V_25>=2,F>=1,V_m_1>=4*V_25,V_25>=F] * Chain [[69],65]: 1*it(69)+6*s(53)+1*s(66)+0 Such that:it(69) =< -V_25/2+V_m_1/4 aux(31) =< V_m_1/2 aux(32) =< V_m_1/2-F/2 s(66) =< F aux(30) =< aux(31) aux(30) =< aux(32) s(54) =< aux(30)*2 s(53) =< aux(30) s(53) =< s(54) with precondition: [B=8,D=0,E=0,G=0,H=0,C=F,C>=1,V_25>=C+1,V_m_1>=2*V_25+C] * Chain [[69],64]: 1*it(69)+6*s(53)+3*s(69)+0 Such that:aux(32) =< -V_25+V_m_1/2 aux(38) =< V_25 aux(37) =< 2*V_25 it(69) =< -V_25/2+V_m_1/4 aux(31) =< V_m_1/2 s(69) =< aux(37) s(69) =< aux(38) aux(30) =< aux(31) aux(30) =< aux(32) s(54) =< aux(30)*2 s(53) =< aux(30) s(53) =< s(54) with precondition: [B=8,D=0,F=0,G=0,H=0,2*V_25=C,V_25>=2,E>=1,V_m_1>=4*V_25,V_25>=E] * Chain [[69],63]: 1*it(69)+6*s(53)+2*s(74)+1*s(75)+0 Such that:aux(39) =< -V_25+C s(75) =< V_25 it(69) =< -V_25/2+V_m_1/4 aux(31) =< V_m_1/2 aux(32) =< V_m_1/2-C/2 aux(40) =< C s(74) =< aux(39) s(74) =< aux(40) s(75) =< aux(40) aux(30) =< aux(31) aux(30) =< aux(32) s(54) =< aux(30)*2 s(53) =< aux(30) s(53) =< s(54) with precondition: [B=8,D=0,F=0,G=0,H=0,E>=1,2*V_25>=C+1,V_m_1>=2*V_25+C,C>=V_25+E] * Chain [67]: 1*s(56)+2*s(59)+0 Such that:s(56) =< -V_25+V_m_1 aux(33) =< V_25 aux(34) =< V_m_1 s(59) =< aux(33) s(59) =< aux(34) s(56) =< aux(34) with precondition: [B=8,D=0,E=0,G=0,H=0,V_m_1=C,F>=1,V_m_1>=V_25+1,2*V_25>=V_m_1+1,V_25>=F] * Chain [66]: 3*s(61)+0 Such that:aux(35) =< V_m_1 aux(36) =< V_m_1/2 s(61) =< aux(35) s(61) =< aux(36) with precondition: [B=8,D=0,E=0,G=0,H=0,2*V_25=V_m_1,2*V_25=C,V_25>=2,F>=1,V_25>=F] * Chain [64]: 3*s(69)+0 Such that:aux(37) =< V_m_1 aux(38) =< V_m_1/2 s(69) =< aux(37) s(69) =< aux(38) with precondition: [B=8,D=0,F=0,G=0,H=0,2*V_25=V_m_1,2*V_25=C,V_25>=2,E>=1,V_25>=E] * Chain [63]: 2*s(74)+1*s(75)+0 Such that:s(75) =< V_25 aux(39) =< -V_25+V_m_1 aux(40) =< V_m_1 s(74) =< aux(39) s(74) =< aux(40) s(75) =< aux(40) with precondition: [B=8,D=0,F=0,G=0,H=0,V_m_1=C,E>=1,2*V_25>=V_m_1+1,V_m_1>=V_25+E] #### Cost of chains of eval_sipmamergesort2_bb1_in(V_n,V_p_0,B,C): * Chain [[70,71,72,73,74,75,76,77],87]: 1*it(70)+1*it(71)+1*it(72)+1*it(73)+1*it(74)+1*it(75)+1*it(76)+1*it(77)+6*s(79)+1*s(929)+1*s(930)+24*s(931)+3*s(932)+3*s(933)+2*s(934)+1*s(935)+3*s(936)+12*s(937)+2*s(938)+2*s(955)+2*s(956)+12*s(957)+6*s(958)+36*s(959)+36*s(960)+4*s(961)+2*s(962)+6*s(963)+24*s(964)+4*s(965)+2*s(985)+2*s(986)+12*s(987)+3*s(988)+6*s(989)+9*s(990)+36*s(991)+6*s(992)+4*s(993)+2*s(994)+6*s(995)+24*s(996)+4*s(997)+1*s(1021)+1*s(1022)+6*s(1023)+3*s(1024)+6*s(1025)+18*s(1026)+2*s(1027)+1*s(1028)+3*s(1029)+12*s(1030)+2*s(1031)+1*s(1049)+1*s(1050)+6*s(1051)+3*s(1052)+1*s(1053)+18*s(1054)+2*s(1055)+6*s(1056)+12*s(1057)+2*s(1058)+2*s(1074)+2*s(1075)+12*s(1076)+6*s(1077)+36*s(1079)+4*s(1080)+12*s(1081)+24*s(1082)+2*s(1097)+2*s(1098)+12*s(1099)+1*s(1100)+6*s(1101)+3*s(1102)+36*s(1103)+2*s(1104)+4*s(1105)+12*s(1106)+24*s(1107)+2*s(1108)+6*s(1109)+4*s(1110)+1*s(1133)+1*s(1134)+6*s(1135)+3*s(1136)+30*s(1138)+2*s(1139)+6*s(1140)+0 Such that:aux(250) =< V_n-6*V_p_0 aux(234) =< V_n-4*V_p_0 aux(235) =< V_n-V_p_0 aux(41) =< V_n/2 aux(237) =< V_n/2-V_p_0 aux(292) =< V_n/6-4/3*V_p_0+1/6 it(76) =< V_n/9-2/3*V_p_0 aux(295) =< V_n/12-V_p_0/3 aux(298) =< V_n/12-V_p_0/6 it(72) =< V_n/18-V_p_0/3 it(70) =< V_n/24-V_p_0/6 aux(301) =< 2/3*V_n-2/3*V_p_0 aux(303) =< 2/9*V_n-4/3*V_p_0+1/9 aux(305) =< 4/9*V_n-2/3*V_p_0 aux(307) =< 8/9*V_n-4/3*V_p_0 aux(309) =< V_n aux(310) =< V_n/3-2/3*V_p_0 aux(311) =< V_n/6-V_p_0/3 aux(312) =< 2/3*V_n-4/3*V_p_0 s(79) =< aux(309) s(79) =< aux(41) it(71) =< aux(292) it(75) =< aux(292) it(71) =< aux(312) it(72) =< aux(312) it(73) =< aux(312) it(74) =< aux(312) it(75) =< aux(312) it(76) =< aux(312) it(77) =< aux(312) it(76) =< aux(310) it(77) =< aux(310) it(70) =< aux(295) it(71) =< aux(295) it(72) =< aux(295) it(73) =< aux(295) it(74) =< aux(295) it(75) =< aux(295) it(76) =< aux(295) it(77) =< aux(295) it(70) =< aux(311) it(71) =< aux(311) it(72) =< aux(311) it(73) =< aux(311) it(74) =< aux(311) it(75) =< aux(311) it(76) =< aux(311) it(77) =< aux(311) it(70) =< aux(298) it(71) =< aux(298) it(72) =< aux(298) it(73) =< aux(298) aux(239) =< aux(301) it(71) =< aux(301) it(72) =< aux(301) it(73) =< aux(301) it(74) =< aux(301) it(75) =< aux(301) it(76) =< aux(301) it(77) =< aux(301) aux(239) =< aux(310) it(71) =< aux(310) it(72) =< aux(310) it(73) =< aux(310) it(74) =< aux(310) it(75) =< aux(310) it(73) =< aux(303) it(77) =< aux(303) aux(256) =< aux(305) it(73) =< aux(305) it(74) =< aux(305) it(75) =< aux(305) it(76) =< aux(305) it(77) =< aux(305) aux(256) =< aux(310) aux(285) =< aux(307) it(77) =< aux(307) aux(285) =< aux(312) aux(261) =< aux(234)*(1/4) aux(267) =< aux(235)*(1/2) aux(244) =< aux(237) aux(270) =< aux(309)*(1/2) aux(251) =< aux(237)*2 aux(279) =< aux(250) aux(249) =< aux(234) aux(240) =< aux(309) aux(243) =< aux(234)*(1/2) aux(241) =< aux(235) s(1000) =< aux(256)*(1/2) s(1119) =< aux(285)*(1/4) s(1113) =< aux(285)*(1/2) s(968) =< aux(312)*(1/4) s(974) =< aux(312)*(1/2) s(941) =< aux(239)*(1/2) s(1019) =< it(72)*aux(250) aux(238) =< it(70)*aux(234) s(953) =< it(70)*aux(237) aux(236) =< it(70)*aux(309) s(942) =< it(70)*aux(235) s(1150) =< it(77)*aux(261) s(1147) =< it(77)*aux(267) s(1144) =< it(77)*aux(244) s(1141) =< it(77)*aux(270) aux(284) =< it(76)*aux(249) s(1125) =< it(76)*aux(267) aux(282) =< it(76)*aux(251) aux(281) =< it(76)*aux(240) s(1131) =< it(76)*aux(279) aux(274) =< it(75)*aux(243) s(1091) =< it(75)*aux(267) s(1085) =< it(75)*aux(244) s(1086) =< it(75)*aux(270) aux(268) =< it(74)*aux(249) s(1061) =< it(74)*aux(267) s(1066) =< it(74)*aux(244) aux(265) =< it(74)*aux(240) s(1048) =< it(73)*aux(261) s(1041) =< it(73)*aux(244) aux(259) =< it(73)*aux(240) s(1035) =< it(73)*aux(241) aux(255) =< it(72)*aux(249) aux(254) =< it(72)*aux(251) aux(253) =< it(72)*aux(240) s(1001) =< it(72)*aux(241) aux(245) =< it(71)*aux(243) s(984) =< it(71)*aux(244) aux(242) =< it(71)*aux(240) s(969) =< it(71)*aux(241) s(952) =< aux(238)*(1/4) s(946) =< aux(236)*(1/2) s(1130) =< aux(284)*(1/4) s(1117) =< aux(282)*(1/2) s(1118) =< aux(281)*(1/2) s(1096) =< aux(274)*(1/2) s(1072) =< aux(268)*(1/4) s(1062) =< aux(265)*(1/2) s(1039) =< aux(259)*(1/2) s(1017) =< aux(255)*(1/4) s(1018) =< aux(254)*(1/2) s(1005) =< aux(253)*(1/2) s(983) =< aux(245)*(1/2) s(973) =< aux(242)*(1/2) s(1136) =< s(1150) s(1025) =< aux(256) s(1134) =< s(1000) s(1133) =< s(1144) s(1149) =< s(1141) s(1149) =< s(1144) s(1148) =< s(1149)*2 s(1138) =< s(1149) s(1138) =< s(1148) s(1146) =< s(1141) s(1133) =< s(1141) s(1146) =< s(1147) s(1133) =< s(1147) s(1145) =< s(1146)*2 s(1135) =< s(1146) s(1135) =< s(1145) s(1139) =< s(1144) s(1140) =< aux(256) s(1140) =< s(1000) s(1139) =< s(1141) s(1121) =< aux(284) s(1100) =< s(1131) s(1122) =< s(1131) s(1097) =< s(1117) s(1101) =< s(1130) s(1111) =< aux(285) s(1102) =< s(1113) s(1098) =< s(1119) s(1128) =< aux(281) s(1121) =< aux(281) s(1100) =< aux(282) s(1128) =< aux(282) s(1102) =< s(1121) s(1100) =< s(1121) s(1127) =< s(1118) s(1127) =< s(1128) s(1126) =< s(1127)*2 s(1103) =< s(1127) s(1103) =< s(1126) s(1124) =< s(1118) s(1097) =< s(1118) s(1124) =< s(1125) s(1097) =< s(1125) s(1123) =< s(1124)*2 s(1099) =< s(1124) s(1099) =< s(1123) s(1122) =< aux(282) s(1104) =< s(1122) s(1104) =< s(1121) s(1111) =< aux(281) s(1108) =< aux(282) s(1108) =< s(1113) s(1109) =< s(1113) s(1109) =< s(1111) s(1108) =< s(1111) s(1105) =< s(1117) s(1106) =< s(1113) s(1106) =< s(1119) s(1116) =< s(1118) s(1105) =< s(1118) s(1116) =< s(1117) s(1115) =< s(1116)*2 s(1107) =< s(1116) s(1107) =< s(1115) s(1112) =< aux(282) s(1112) =< s(1113) s(1110) =< s(1112) s(1110) =< s(1111) s(1074) =< s(1085) s(1077) =< s(1096) s(1075) =< s(968) s(959) =< aux(312) s(959) =< s(974) s(1093) =< s(1086) s(1093) =< aux(274) s(1092) =< s(1093)*2 s(1079) =< s(1093) s(1079) =< s(1092) s(1090) =< s(1086) s(1074) =< s(1086) s(1090) =< s(1091) s(1074) =< s(1091) s(1089) =< s(1090)*2 s(1076) =< s(1090) s(1076) =< s(1089) s(1080) =< s(1085) s(1081) =< s(974) s(1081) =< s(968) s(1084) =< s(1086) s(1080) =< s(1086) s(1084) =< s(1085) s(1083) =< s(1084)*2 s(1082) =< s(1084) s(1082) =< s(1083) s(1058) =< aux(268) s(1049) =< s(1066) s(1052) =< s(1072) s(1053) =< aux(239) s(1050) =< s(941) s(1071) =< aux(265) s(1058) =< aux(265) s(1071) =< s(1062) s(1070) =< s(1062) s(1070) =< s(1071) s(1069) =< s(1070)*2 s(1054) =< s(1070) s(1054) =< s(1069) s(1055) =< s(1066) s(1056) =< aux(239) s(1056) =< s(941) s(1065) =< s(1062) s(1055) =< s(1062) s(1065) =< s(1066) s(1064) =< s(1065)*2 s(1057) =< s(1065) s(1057) =< s(1064) s(1053) =< aux(265) s(1060) =< s(1062) s(1049) =< s(1062) s(1060) =< s(1061) s(1049) =< s(1061) s(1059) =< s(1060)*2 s(1051) =< s(1060) s(1051) =< s(1059) s(1024) =< s(1048) s(1022) =< s(1000) s(1045) =< aux(259) s(1022) =< aux(259) s(1045) =< s(1039) s(1021) =< s(1041) s(1047) =< s(1039) s(1047) =< s(1041) s(1046) =< s(1047)*2 s(1026) =< s(1047) s(1026) =< s(1046) s(1044) =< s(1039) s(1021) =< s(1039) s(1044) =< s(1045) s(1021) =< s(1045) s(1043) =< s(1044)*2 s(1023) =< s(1044) s(1023) =< s(1043) s(1038) =< aux(259) s(1032) =< aux(259) s(1028) =< s(1035) s(1038) =< s(1035) s(1027) =< s(1041) s(1032) =< aux(256) s(1028) =< s(1000) s(1029) =< s(1000) s(1029) =< s(1032) s(1028) =< s(1032) s(1037) =< s(1039) s(1027) =< s(1039) s(1037) =< s(1038) s(1027) =< s(1038) s(1036) =< s(1037)*2 s(1030) =< s(1037) s(1030) =< s(1036) s(1033) =< s(1035) s(1033) =< s(1000) s(1031) =< s(1033) s(1031) =< s(1032) s(1008) =< aux(255) s(988) =< s(1019) s(1009) =< s(1019) s(985) =< s(1018) s(993) =< s(1018) s(989) =< s(1017) s(990) =< aux(256) s(986) =< s(1000) s(1013) =< aux(253) s(986) =< aux(253) s(1016) =< aux(253) s(1008) =< aux(253) s(988) =< aux(254) s(1016) =< aux(254) s(1013) =< s(1005) s(990) =< s(1008) s(988) =< s(1008) s(1015) =< s(1005) s(1015) =< s(1016) s(1014) =< s(1015)*2 s(991) =< s(1015) s(991) =< s(1014) s(1012) =< s(1005) s(985) =< s(1005) s(1012) =< s(1013) s(985) =< s(1013) s(1011) =< s(1012)*2 s(987) =< s(1012) s(987) =< s(1011) s(1009) =< aux(254) s(992) =< s(1009) s(992) =< s(1008) s(1004) =< aux(253) s(998) =< aux(253) s(994) =< s(1001) s(1004) =< s(1001) s(998) =< aux(256) s(994) =< s(1000) s(995) =< s(1000) s(995) =< s(998) s(994) =< s(998) s(1003) =< s(1005) s(993) =< s(1005) s(1003) =< s(1004) s(993) =< s(1004) s(1002) =< s(1003)*2 s(996) =< s(1003) s(996) =< s(1002) s(999) =< s(1001) s(999) =< s(1000) s(997) =< s(999) s(997) =< s(998) s(955) =< s(984) s(961) =< s(984) s(958) =< s(983) s(956) =< s(968) s(978) =< aux(242) s(956) =< aux(242) s(978) =< s(973) s(980) =< s(973) s(980) =< aux(245) s(979) =< s(980)*2 s(960) =< s(980) s(960) =< s(979) s(977) =< s(973) s(955) =< s(973) s(977) =< s(978) s(955) =< s(978) s(976) =< s(977)*2 s(957) =< s(977) s(957) =< s(976) s(972) =< aux(242) s(966) =< aux(242) s(962) =< s(969) s(972) =< s(969) s(966) =< s(974) s(962) =< s(968) s(963) =< s(968) s(963) =< s(966) s(962) =< s(966) s(971) =< s(973) s(961) =< s(973) s(971) =< s(972) s(961) =< s(972) s(970) =< s(971)*2 s(964) =< s(971) s(964) =< s(970) s(967) =< s(969) s(967) =< s(968) s(965) =< s(967) s(965) =< s(966) s(933) =< aux(238) s(929) =< s(953) s(934) =< s(953) s(932) =< s(952) s(939) =< aux(239) s(930) =< s(941) s(948) =< aux(236) s(930) =< aux(236) s(933) =< aux(236) s(948) =< s(946) s(950) =< s(946) s(950) =< s(948) s(949) =< s(950)*2 s(931) =< s(950) s(931) =< s(949) s(929) =< s(946) s(929) =< s(948) s(945) =< aux(236) s(939) =< aux(236) s(935) =< s(942) s(945) =< s(942) s(935) =< s(941) s(936) =< s(941) s(936) =< s(939) s(935) =< s(939) s(944) =< s(946) s(934) =< s(946) s(944) =< s(945) s(934) =< s(945) s(943) =< s(944)*2 s(937) =< s(944) s(937) =< s(943) s(940) =< s(942) s(940) =< s(941) s(938) =< s(940) s(938) =< s(939) with precondition: [B=10,C=0,V_p_0>=1,V_n>=8*V_p_0] * Chain [[70,71,72,73,74,75,76,77],83]: 1*it(70)+1*it(71)+1*it(72)+1*it(73)+1*it(74)+1*it(75)+1*it(76)+1*it(77)+1*s(929)+1*s(930)+24*s(931)+3*s(932)+3*s(933)+2*s(934)+1*s(935)+3*s(936)+12*s(937)+2*s(938)+2*s(955)+2*s(956)+12*s(957)+6*s(958)+36*s(959)+36*s(960)+4*s(961)+2*s(962)+6*s(963)+24*s(964)+4*s(965)+2*s(985)+2*s(986)+12*s(987)+3*s(988)+6*s(989)+9*s(990)+36*s(991)+6*s(992)+4*s(993)+2*s(994)+6*s(995)+24*s(996)+4*s(997)+1*s(1021)+1*s(1022)+6*s(1023)+3*s(1024)+6*s(1025)+18*s(1026)+2*s(1027)+1*s(1028)+3*s(1029)+12*s(1030)+2*s(1031)+1*s(1049)+1*s(1050)+6*s(1051)+3*s(1052)+1*s(1053)+18*s(1054)+2*s(1055)+6*s(1056)+12*s(1057)+2*s(1058)+2*s(1074)+2*s(1075)+12*s(1076)+6*s(1077)+36*s(1079)+4*s(1080)+12*s(1081)+24*s(1082)+2*s(1097)+2*s(1098)+12*s(1099)+1*s(1100)+6*s(1101)+3*s(1102)+36*s(1103)+2*s(1104)+4*s(1105)+12*s(1106)+24*s(1107)+2*s(1108)+6*s(1109)+4*s(1110)+1*s(1133)+1*s(1134)+6*s(1135)+3*s(1136)+30*s(1138)+2*s(1139)+6*s(1140)+3*s(1151)+3*s(1154)+0 Such that:aux(250) =< V_n-6*V_p_0 aux(234) =< V_n-4*V_p_0 aux(237) =< V_n/2-V_p_0 aux(292) =< V_n/6-4/3*V_p_0+1/6 aux(298) =< V_n/6-V_p_0/6 it(76) =< V_n/9-2/3*V_p_0 aux(295) =< V_n/12-V_p_0/3 it(72) =< V_n/18-V_p_0/3 it(70) =< V_n/24-V_p_0/6 aux(299) =< 2/3*V_n-4/3*V_p_0 aux(303) =< 2/9*V_n-4/3*V_p_0+1/9 aux(305) =< 4/9*V_n-2/3*V_p_0 aux(307) =< 8/9*V_n-4/3*V_p_0 aux(316) =< V_n aux(317) =< V_n-V_p_0 aux(318) =< 2*V_n-2*V_p_0 aux(319) =< 4*V_n-4*V_p_0 aux(320) =< V_n/3-V_p_0/3 aux(321) =< 2/3*V_n-2/3*V_p_0 aux(322) =< 4/3*V_n-4/3*V_p_0 aux(314) =< aux(316) aux(296) =< aux(317) aux(298) =< aux(317) aux(314) =< aux(317) aux(294) =< aux(318) aux(293) =< aux(319) aux(296) =< aux(320) aux(294) =< aux(321) aux(293) =< aux(322) s(1151) =< aux(314) s(1154) =< aux(316) s(1151) =< aux(316) it(71) =< aux(292) it(75) =< aux(292) it(71) =< aux(293) it(72) =< aux(293) it(73) =< aux(293) it(74) =< aux(293) it(75) =< aux(293) it(76) =< aux(293) it(77) =< aux(293) it(76) =< aux(294) it(77) =< aux(294) it(70) =< aux(295) it(71) =< aux(295) it(72) =< aux(295) it(73) =< aux(295) it(74) =< aux(295) it(75) =< aux(295) it(76) =< aux(295) it(77) =< aux(295) it(70) =< aux(296) it(71) =< aux(296) it(72) =< aux(296) it(73) =< aux(296) it(74) =< aux(296) it(75) =< aux(296) it(76) =< aux(296) it(77) =< aux(296) it(70) =< aux(298) it(71) =< aux(298) it(72) =< aux(298) it(73) =< aux(298) aux(246) =< aux(299) it(72) =< aux(299) it(73) =< aux(299) it(74) =< aux(299) it(75) =< aux(299) it(76) =< aux(299) it(77) =< aux(299) aux(246) =< aux(293) aux(239) =< aux(321) it(71) =< aux(321) it(72) =< aux(321) it(73) =< aux(321) it(74) =< aux(321) it(75) =< aux(321) it(76) =< aux(321) it(77) =< aux(321) aux(239) =< aux(294) it(71) =< aux(294) it(72) =< aux(294) it(73) =< aux(294) it(74) =< aux(294) it(75) =< aux(294) it(73) =< aux(303) it(77) =< aux(303) aux(256) =< aux(305) it(73) =< aux(305) it(74) =< aux(305) it(75) =< aux(305) it(76) =< aux(305) it(77) =< aux(305) aux(256) =< aux(294) aux(285) =< aux(307) it(77) =< aux(307) aux(285) =< aux(293) aux(261) =< aux(234)*(1/4) aux(267) =< aux(317)*(1/2) aux(244) =< aux(237) aux(270) =< aux(316)*(1/2) aux(251) =< aux(237)*2 aux(279) =< aux(250) aux(249) =< aux(234) aux(240) =< aux(316) aux(243) =< aux(234)*(1/2) aux(241) =< aux(317) s(1000) =< aux(256)*(1/2) s(1119) =< aux(285)*(1/4) s(1113) =< aux(285)*(1/2) s(968) =< aux(246)*(1/4) s(974) =< aux(246)*(1/2) s(941) =< aux(239)*(1/2) s(1019) =< it(72)*aux(250) aux(238) =< it(70)*aux(234) s(953) =< it(70)*aux(237) aux(236) =< it(70)*aux(316) s(942) =< it(70)*aux(317) s(1150) =< it(77)*aux(261) s(1147) =< it(77)*aux(267) s(1144) =< it(77)*aux(244) s(1141) =< it(77)*aux(270) aux(284) =< it(76)*aux(249) s(1125) =< it(76)*aux(267) aux(282) =< it(76)*aux(251) aux(281) =< it(76)*aux(240) s(1131) =< it(76)*aux(279) aux(274) =< it(75)*aux(243) s(1091) =< it(75)*aux(267) s(1085) =< it(75)*aux(244) s(1086) =< it(75)*aux(270) aux(268) =< it(74)*aux(249) s(1061) =< it(74)*aux(267) s(1066) =< it(74)*aux(244) aux(265) =< it(74)*aux(240) s(1048) =< it(73)*aux(261) s(1041) =< it(73)*aux(244) aux(259) =< it(73)*aux(240) s(1035) =< it(73)*aux(241) aux(255) =< it(72)*aux(249) aux(254) =< it(72)*aux(251) aux(253) =< it(72)*aux(240) s(1001) =< it(72)*aux(241) aux(245) =< it(71)*aux(243) s(984) =< it(71)*aux(244) aux(242) =< it(71)*aux(240) s(969) =< it(71)*aux(241) s(952) =< aux(238)*(1/4) s(946) =< aux(236)*(1/2) s(1130) =< aux(284)*(1/4) s(1117) =< aux(282)*(1/2) s(1118) =< aux(281)*(1/2) s(1096) =< aux(274)*(1/2) s(1072) =< aux(268)*(1/4) s(1062) =< aux(265)*(1/2) s(1039) =< aux(259)*(1/2) s(1017) =< aux(255)*(1/4) s(1018) =< aux(254)*(1/2) s(1005) =< aux(253)*(1/2) s(983) =< aux(245)*(1/2) s(973) =< aux(242)*(1/2) s(1136) =< s(1150) s(1025) =< aux(256) s(1134) =< s(1000) s(1133) =< s(1144) s(1149) =< s(1141) s(1149) =< s(1144) s(1148) =< s(1149)*2 s(1138) =< s(1149) s(1138) =< s(1148) s(1146) =< s(1141) s(1133) =< s(1141) s(1146) =< s(1147) s(1133) =< s(1147) s(1145) =< s(1146)*2 s(1135) =< s(1146) s(1135) =< s(1145) s(1139) =< s(1144) s(1140) =< aux(256) s(1140) =< s(1000) s(1139) =< s(1141) s(1121) =< aux(284) s(1100) =< s(1131) s(1122) =< s(1131) s(1097) =< s(1117) s(1101) =< s(1130) s(1111) =< aux(285) s(1102) =< s(1113) s(1098) =< s(1119) s(1128) =< aux(281) s(1121) =< aux(281) s(1100) =< aux(282) s(1128) =< aux(282) s(1102) =< s(1121) s(1100) =< s(1121) s(1127) =< s(1118) s(1127) =< s(1128) s(1126) =< s(1127)*2 s(1103) =< s(1127) s(1103) =< s(1126) s(1124) =< s(1118) s(1097) =< s(1118) s(1124) =< s(1125) s(1097) =< s(1125) s(1123) =< s(1124)*2 s(1099) =< s(1124) s(1099) =< s(1123) s(1122) =< aux(282) s(1104) =< s(1122) s(1104) =< s(1121) s(1111) =< aux(281) s(1108) =< aux(282) s(1108) =< s(1113) s(1109) =< s(1113) s(1109) =< s(1111) s(1108) =< s(1111) s(1105) =< s(1117) s(1106) =< s(1113) s(1106) =< s(1119) s(1116) =< s(1118) s(1105) =< s(1118) s(1116) =< s(1117) s(1115) =< s(1116)*2 s(1107) =< s(1116) s(1107) =< s(1115) s(1112) =< aux(282) s(1112) =< s(1113) s(1110) =< s(1112) s(1110) =< s(1111) s(1074) =< s(1085) s(1077) =< s(1096) s(1075) =< s(968) s(959) =< aux(246) s(959) =< s(974) s(1093) =< s(1086) s(1093) =< aux(274) s(1092) =< s(1093)*2 s(1079) =< s(1093) s(1079) =< s(1092) s(1090) =< s(1086) s(1074) =< s(1086) s(1090) =< s(1091) s(1074) =< s(1091) s(1089) =< s(1090)*2 s(1076) =< s(1090) s(1076) =< s(1089) s(1080) =< s(1085) s(1081) =< s(974) s(1081) =< s(968) s(1084) =< s(1086) s(1080) =< s(1086) s(1084) =< s(1085) s(1083) =< s(1084)*2 s(1082) =< s(1084) s(1082) =< s(1083) s(1058) =< aux(268) s(1049) =< s(1066) s(1052) =< s(1072) s(1053) =< aux(239) s(1050) =< s(941) s(1071) =< aux(265) s(1058) =< aux(265) s(1071) =< s(1062) s(1070) =< s(1062) s(1070) =< s(1071) s(1069) =< s(1070)*2 s(1054) =< s(1070) s(1054) =< s(1069) s(1055) =< s(1066) s(1056) =< aux(239) s(1056) =< s(941) s(1065) =< s(1062) s(1055) =< s(1062) s(1065) =< s(1066) s(1064) =< s(1065)*2 s(1057) =< s(1065) s(1057) =< s(1064) s(1053) =< aux(265) s(1060) =< s(1062) s(1049) =< s(1062) s(1060) =< s(1061) s(1049) =< s(1061) s(1059) =< s(1060)*2 s(1051) =< s(1060) s(1051) =< s(1059) s(1024) =< s(1048) s(1022) =< s(1000) s(1045) =< aux(259) s(1022) =< aux(259) s(1045) =< s(1039) s(1021) =< s(1041) s(1047) =< s(1039) s(1047) =< s(1041) s(1046) =< s(1047)*2 s(1026) =< s(1047) s(1026) =< s(1046) s(1044) =< s(1039) s(1021) =< s(1039) s(1044) =< s(1045) s(1021) =< s(1045) s(1043) =< s(1044)*2 s(1023) =< s(1044) s(1023) =< s(1043) s(1038) =< aux(259) s(1032) =< aux(259) s(1028) =< s(1035) s(1038) =< s(1035) s(1027) =< s(1041) s(1032) =< aux(256) s(1028) =< s(1000) s(1029) =< s(1000) s(1029) =< s(1032) s(1028) =< s(1032) s(1037) =< s(1039) s(1027) =< s(1039) s(1037) =< s(1038) s(1027) =< s(1038) s(1036) =< s(1037)*2 s(1030) =< s(1037) s(1030) =< s(1036) s(1033) =< s(1035) s(1033) =< s(1000) s(1031) =< s(1033) s(1031) =< s(1032) s(1008) =< aux(255) s(988) =< s(1019) s(1009) =< s(1019) s(985) =< s(1018) s(993) =< s(1018) s(989) =< s(1017) s(990) =< aux(256) s(986) =< s(1000) s(1013) =< aux(253) s(986) =< aux(253) s(1016) =< aux(253) s(1008) =< aux(253) s(988) =< aux(254) s(1016) =< aux(254) s(1013) =< s(1005) s(990) =< s(1008) s(988) =< s(1008) s(1015) =< s(1005) s(1015) =< s(1016) s(1014) =< s(1015)*2 s(991) =< s(1015) s(991) =< s(1014) s(1012) =< s(1005) s(985) =< s(1005) s(1012) =< s(1013) s(985) =< s(1013) s(1011) =< s(1012)*2 s(987) =< s(1012) s(987) =< s(1011) s(1009) =< aux(254) s(992) =< s(1009) s(992) =< s(1008) s(1004) =< aux(253) s(998) =< aux(253) s(994) =< s(1001) s(1004) =< s(1001) s(998) =< aux(256) s(994) =< s(1000) s(995) =< s(1000) s(995) =< s(998) s(994) =< s(998) s(1003) =< s(1005) s(993) =< s(1005) s(1003) =< s(1004) s(993) =< s(1004) s(1002) =< s(1003)*2 s(996) =< s(1003) s(996) =< s(1002) s(999) =< s(1001) s(999) =< s(1000) s(997) =< s(999) s(997) =< s(998) s(955) =< s(984) s(961) =< s(984) s(958) =< s(983) s(956) =< s(968) s(978) =< aux(242) s(956) =< aux(242) s(978) =< s(973) s(980) =< s(973) s(980) =< aux(245) s(979) =< s(980)*2 s(960) =< s(980) s(960) =< s(979) s(977) =< s(973) s(955) =< s(973) s(977) =< s(978) s(955) =< s(978) s(976) =< s(977)*2 s(957) =< s(977) s(957) =< s(976) s(972) =< aux(242) s(966) =< aux(242) s(962) =< s(969) s(972) =< s(969) s(966) =< s(974) s(962) =< s(968) s(963) =< s(968) s(963) =< s(966) s(962) =< s(966) s(971) =< s(973) s(961) =< s(973) s(971) =< s(972) s(961) =< s(972) s(970) =< s(971)*2 s(964) =< s(971) s(964) =< s(970) s(967) =< s(969) s(967) =< s(968) s(965) =< s(967) s(965) =< s(966) s(933) =< aux(238) s(929) =< s(953) s(934) =< s(953) s(932) =< s(952) s(939) =< aux(239) s(930) =< s(941) s(948) =< aux(236) s(930) =< aux(236) s(933) =< aux(236) s(948) =< s(946) s(950) =< s(946) s(950) =< s(948) s(949) =< s(950)*2 s(931) =< s(950) s(931) =< s(949) s(929) =< s(946) s(929) =< s(948) s(945) =< aux(236) s(939) =< aux(236) s(935) =< s(942) s(945) =< s(942) s(935) =< s(941) s(936) =< s(941) s(936) =< s(939) s(935) =< s(939) s(944) =< s(946) s(934) =< s(946) s(944) =< s(945) s(934) =< s(945) s(943) =< s(944)*2 s(937) =< s(944) s(937) =< s(943) s(940) =< s(942) s(940) =< s(941) s(938) =< s(940) s(938) =< s(939) with precondition: [B=10,C=0,V_p_0>=1,V_n>=4*V_p_0+1] * Chain [[70,71,72,73,74,75,76,77],82]: 1*it(70)+1*it(71)+1*it(72)+1*it(73)+1*it(74)+1*it(75)+1*it(76)+1*it(77)+1*s(929)+1*s(930)+24*s(931)+3*s(932)+3*s(933)+2*s(934)+1*s(935)+3*s(936)+12*s(937)+2*s(938)+2*s(955)+2*s(956)+12*s(957)+6*s(958)+36*s(959)+36*s(960)+4*s(961)+2*s(962)+6*s(963)+24*s(964)+4*s(965)+2*s(985)+2*s(986)+12*s(987)+3*s(988)+6*s(989)+9*s(990)+36*s(991)+6*s(992)+4*s(993)+2*s(994)+6*s(995)+24*s(996)+4*s(997)+1*s(1021)+1*s(1022)+6*s(1023)+3*s(1024)+6*s(1025)+18*s(1026)+2*s(1027)+1*s(1028)+3*s(1029)+12*s(1030)+2*s(1031)+1*s(1049)+1*s(1050)+6*s(1051)+3*s(1052)+1*s(1053)+18*s(1054)+2*s(1055)+6*s(1056)+12*s(1057)+2*s(1058)+2*s(1074)+2*s(1075)+12*s(1076)+6*s(1077)+36*s(1079)+4*s(1080)+12*s(1081)+24*s(1082)+2*s(1097)+2*s(1098)+12*s(1099)+1*s(1100)+6*s(1101)+3*s(1102)+36*s(1103)+2*s(1104)+4*s(1105)+12*s(1106)+24*s(1107)+2*s(1108)+6*s(1109)+4*s(1110)+1*s(1133)+1*s(1134)+6*s(1135)+3*s(1136)+30*s(1138)+2*s(1139)+6*s(1140)+2*s(1160)+2*s(1162)+12*s(1165)+18*s(1168)+16*s(1183)+24*s(1187)+0 Such that:aux(250) =< V_n-6*V_p_0 aux(234) =< V_n-4*V_p_0 aux(235) =< V_n-V_p_0 aux(336) =< V_n/2 aux(237) =< V_n/2-V_p_0 aux(335) =< V_n/4 aux(292) =< V_n/6-4/3*V_p_0+1/6 it(76) =< V_n/9-2/3*V_p_0 it(72) =< V_n/18-V_p_0/3 aux(299) =< 2/3*V_n-4/3*V_p_0 aux(301) =< 2/3*V_n-2/3*V_p_0 aux(303) =< 2/9*V_n-4/3*V_p_0+1/9 aux(338) =< 3/8*V_n aux(305) =< 4/9*V_n-2/3*V_p_0 aux(307) =< 8/9*V_n-4/3*V_p_0 aux(339) =< V_n aux(340) =< V_n/3-4/3*V_p_0 aux(341) =< V_n/6-2/3*V_p_0 aux(342) =< V_n/12-V_p_0/3 aux(343) =< V_n/24-V_p_0/6 it(70) =< aux(343) s(1160) =< aux(335) s(1162) =< aux(335) s(1168) =< aux(339) s(1168) =< aux(336) s(1163) =< aux(336) s(1160) =< aux(336) s(1163) =< aux(338) s(1160) =< aux(338) s(1164) =< s(1163)*2 s(1165) =< s(1163) s(1165) =< s(1164) s(1183) =< aux(335) s(1183) =< aux(336) s(1185) =< aux(336) s(1185) =< aux(335) s(1186) =< s(1185)*2 s(1187) =< s(1185) s(1187) =< s(1186) it(71) =< aux(292) it(75) =< aux(292) it(71) =< aux(340) it(72) =< aux(340) it(73) =< aux(340) it(74) =< aux(340) it(75) =< aux(340) it(76) =< aux(340) it(77) =< aux(340) it(76) =< aux(341) it(77) =< aux(341) it(70) =< aux(342) it(71) =< aux(342) it(72) =< aux(342) it(73) =< aux(342) it(74) =< aux(342) it(75) =< aux(342) it(76) =< aux(342) it(77) =< aux(342) it(71) =< aux(343) it(72) =< aux(343) it(73) =< aux(343) aux(246) =< aux(299) it(72) =< aux(299) it(73) =< aux(299) it(74) =< aux(299) it(75) =< aux(299) it(76) =< aux(299) it(77) =< aux(299) aux(246) =< aux(340) aux(239) =< aux(301) it(71) =< aux(301) it(72) =< aux(301) it(73) =< aux(301) it(74) =< aux(301) it(75) =< aux(301) it(76) =< aux(301) it(77) =< aux(301) aux(239) =< aux(341) it(71) =< aux(341) it(72) =< aux(341) it(73) =< aux(341) it(74) =< aux(341) it(75) =< aux(341) it(73) =< aux(303) it(77) =< aux(303) aux(256) =< aux(305) it(73) =< aux(305) it(74) =< aux(305) it(75) =< aux(305) it(76) =< aux(305) it(77) =< aux(305) aux(256) =< aux(341) aux(285) =< aux(307) it(77) =< aux(307) aux(285) =< aux(340) aux(261) =< aux(234)*(1/4) aux(267) =< aux(235)*(1/2) aux(244) =< aux(237) aux(270) =< aux(339)*(1/2) aux(251) =< aux(237)*2 aux(279) =< aux(250) aux(249) =< aux(234) aux(240) =< aux(339) aux(243) =< aux(234)*(1/2) aux(241) =< aux(235) s(1000) =< aux(256)*(1/2) s(1119) =< aux(285)*(1/4) s(1113) =< aux(285)*(1/2) s(968) =< aux(246)*(1/4) s(974) =< aux(246)*(1/2) s(941) =< aux(239)*(1/2) s(1019) =< it(72)*aux(250) aux(238) =< it(70)*aux(234) s(953) =< it(70)*aux(237) aux(236) =< it(70)*aux(339) s(942) =< it(70)*aux(235) s(1150) =< it(77)*aux(261) s(1147) =< it(77)*aux(267) s(1144) =< it(77)*aux(244) s(1141) =< it(77)*aux(270) aux(284) =< it(76)*aux(249) s(1125) =< it(76)*aux(267) aux(282) =< it(76)*aux(251) aux(281) =< it(76)*aux(240) s(1131) =< it(76)*aux(279) aux(274) =< it(75)*aux(243) s(1091) =< it(75)*aux(267) s(1085) =< it(75)*aux(244) s(1086) =< it(75)*aux(270) aux(268) =< it(74)*aux(249) s(1061) =< it(74)*aux(267) s(1066) =< it(74)*aux(244) aux(265) =< it(74)*aux(240) s(1048) =< it(73)*aux(261) s(1041) =< it(73)*aux(244) aux(259) =< it(73)*aux(240) s(1035) =< it(73)*aux(241) aux(255) =< it(72)*aux(249) aux(254) =< it(72)*aux(251) aux(253) =< it(72)*aux(240) s(1001) =< it(72)*aux(241) aux(245) =< it(71)*aux(243) s(984) =< it(71)*aux(244) aux(242) =< it(71)*aux(240) s(969) =< it(71)*aux(241) s(952) =< aux(238)*(1/4) s(946) =< aux(236)*(1/2) s(1130) =< aux(284)*(1/4) s(1117) =< aux(282)*(1/2) s(1118) =< aux(281)*(1/2) s(1096) =< aux(274)*(1/2) s(1072) =< aux(268)*(1/4) s(1062) =< aux(265)*(1/2) s(1039) =< aux(259)*(1/2) s(1017) =< aux(255)*(1/4) s(1018) =< aux(254)*(1/2) s(1005) =< aux(253)*(1/2) s(983) =< aux(245)*(1/2) s(973) =< aux(242)*(1/2) s(1136) =< s(1150) s(1025) =< aux(256) s(1134) =< s(1000) s(1133) =< s(1144) s(1149) =< s(1141) s(1149) =< s(1144) s(1148) =< s(1149)*2 s(1138) =< s(1149) s(1138) =< s(1148) s(1146) =< s(1141) s(1133) =< s(1141) s(1146) =< s(1147) s(1133) =< s(1147) s(1145) =< s(1146)*2 s(1135) =< s(1146) s(1135) =< s(1145) s(1139) =< s(1144) s(1140) =< aux(256) s(1140) =< s(1000) s(1139) =< s(1141) s(1121) =< aux(284) s(1100) =< s(1131) s(1122) =< s(1131) s(1097) =< s(1117) s(1101) =< s(1130) s(1111) =< aux(285) s(1102) =< s(1113) s(1098) =< s(1119) s(1128) =< aux(281) s(1121) =< aux(281) s(1100) =< aux(282) s(1128) =< aux(282) s(1102) =< s(1121) s(1100) =< s(1121) s(1127) =< s(1118) s(1127) =< s(1128) s(1126) =< s(1127)*2 s(1103) =< s(1127) s(1103) =< s(1126) s(1124) =< s(1118) s(1097) =< s(1118) s(1124) =< s(1125) s(1097) =< s(1125) s(1123) =< s(1124)*2 s(1099) =< s(1124) s(1099) =< s(1123) s(1122) =< aux(282) s(1104) =< s(1122) s(1104) =< s(1121) s(1111) =< aux(281) s(1108) =< aux(282) s(1108) =< s(1113) s(1109) =< s(1113) s(1109) =< s(1111) s(1108) =< s(1111) s(1105) =< s(1117) s(1106) =< s(1113) s(1106) =< s(1119) s(1116) =< s(1118) s(1105) =< s(1118) s(1116) =< s(1117) s(1115) =< s(1116)*2 s(1107) =< s(1116) s(1107) =< s(1115) s(1112) =< aux(282) s(1112) =< s(1113) s(1110) =< s(1112) s(1110) =< s(1111) s(1074) =< s(1085) s(1077) =< s(1096) s(1075) =< s(968) s(959) =< aux(246) s(959) =< s(974) s(1093) =< s(1086) s(1093) =< aux(274) s(1092) =< s(1093)*2 s(1079) =< s(1093) s(1079) =< s(1092) s(1090) =< s(1086) s(1074) =< s(1086) s(1090) =< s(1091) s(1074) =< s(1091) s(1089) =< s(1090)*2 s(1076) =< s(1090) s(1076) =< s(1089) s(1080) =< s(1085) s(1081) =< s(974) s(1081) =< s(968) s(1084) =< s(1086) s(1080) =< s(1086) s(1084) =< s(1085) s(1083) =< s(1084)*2 s(1082) =< s(1084) s(1082) =< s(1083) s(1058) =< aux(268) s(1049) =< s(1066) s(1052) =< s(1072) s(1053) =< aux(239) s(1050) =< s(941) s(1071) =< aux(265) s(1058) =< aux(265) s(1071) =< s(1062) s(1070) =< s(1062) s(1070) =< s(1071) s(1069) =< s(1070)*2 s(1054) =< s(1070) s(1054) =< s(1069) s(1055) =< s(1066) s(1056) =< aux(239) s(1056) =< s(941) s(1065) =< s(1062) s(1055) =< s(1062) s(1065) =< s(1066) s(1064) =< s(1065)*2 s(1057) =< s(1065) s(1057) =< s(1064) s(1053) =< aux(265) s(1060) =< s(1062) s(1049) =< s(1062) s(1060) =< s(1061) s(1049) =< s(1061) s(1059) =< s(1060)*2 s(1051) =< s(1060) s(1051) =< s(1059) s(1024) =< s(1048) s(1022) =< s(1000) s(1045) =< aux(259) s(1022) =< aux(259) s(1045) =< s(1039) s(1021) =< s(1041) s(1047) =< s(1039) s(1047) =< s(1041) s(1046) =< s(1047)*2 s(1026) =< s(1047) s(1026) =< s(1046) s(1044) =< s(1039) s(1021) =< s(1039) s(1044) =< s(1045) s(1021) =< s(1045) s(1043) =< s(1044)*2 s(1023) =< s(1044) s(1023) =< s(1043) s(1038) =< aux(259) s(1032) =< aux(259) s(1028) =< s(1035) s(1038) =< s(1035) s(1027) =< s(1041) s(1032) =< aux(256) s(1028) =< s(1000) s(1029) =< s(1000) s(1029) =< s(1032) s(1028) =< s(1032) s(1037) =< s(1039) s(1027) =< s(1039) s(1037) =< s(1038) s(1027) =< s(1038) s(1036) =< s(1037)*2 s(1030) =< s(1037) s(1030) =< s(1036) s(1033) =< s(1035) s(1033) =< s(1000) s(1031) =< s(1033) s(1031) =< s(1032) s(1008) =< aux(255) s(988) =< s(1019) s(1009) =< s(1019) s(985) =< s(1018) s(993) =< s(1018) s(989) =< s(1017) s(990) =< aux(256) s(986) =< s(1000) s(1013) =< aux(253) s(986) =< aux(253) s(1016) =< aux(253) s(1008) =< aux(253) s(988) =< aux(254) s(1016) =< aux(254) s(1013) =< s(1005) s(990) =< s(1008) s(988) =< s(1008) s(1015) =< s(1005) s(1015) =< s(1016) s(1014) =< s(1015)*2 s(991) =< s(1015) s(991) =< s(1014) s(1012) =< s(1005) s(985) =< s(1005) s(1012) =< s(1013) s(985) =< s(1013) s(1011) =< s(1012)*2 s(987) =< s(1012) s(987) =< s(1011) s(1009) =< aux(254) s(992) =< s(1009) s(992) =< s(1008) s(1004) =< aux(253) s(998) =< aux(253) s(994) =< s(1001) s(1004) =< s(1001) s(998) =< aux(256) s(994) =< s(1000) s(995) =< s(1000) s(995) =< s(998) s(994) =< s(998) s(1003) =< s(1005) s(993) =< s(1005) s(1003) =< s(1004) s(993) =< s(1004) s(1002) =< s(1003)*2 s(996) =< s(1003) s(996) =< s(1002) s(999) =< s(1001) s(999) =< s(1000) s(997) =< s(999) s(997) =< s(998) s(955) =< s(984) s(961) =< s(984) s(958) =< s(983) s(956) =< s(968) s(978) =< aux(242) s(956) =< aux(242) s(978) =< s(973) s(980) =< s(973) s(980) =< aux(245) s(979) =< s(980)*2 s(960) =< s(980) s(960) =< s(979) s(977) =< s(973) s(955) =< s(973) s(977) =< s(978) s(955) =< s(978) s(976) =< s(977)*2 s(957) =< s(977) s(957) =< s(976) s(972) =< aux(242) s(966) =< aux(242) s(962) =< s(969) s(972) =< s(969) s(966) =< s(974) s(962) =< s(968) s(963) =< s(968) s(963) =< s(966) s(962) =< s(966) s(971) =< s(973) s(961) =< s(973) s(971) =< s(972) s(961) =< s(972) s(970) =< s(971)*2 s(964) =< s(971) s(964) =< s(970) s(967) =< s(969) s(967) =< s(968) s(965) =< s(967) s(965) =< s(966) s(933) =< aux(238) s(929) =< s(953) s(934) =< s(953) s(932) =< s(952) s(939) =< aux(239) s(930) =< s(941) s(948) =< aux(236) s(930) =< aux(236) s(933) =< aux(236) s(948) =< s(946) s(950) =< s(946) s(950) =< s(948) s(949) =< s(950)*2 s(931) =< s(950) s(931) =< s(949) s(929) =< s(946) s(929) =< s(948) s(945) =< aux(236) s(939) =< aux(236) s(935) =< s(942) s(945) =< s(942) s(935) =< s(941) s(936) =< s(941) s(936) =< s(939) s(935) =< s(939) s(944) =< s(946) s(934) =< s(946) s(944) =< s(945) s(934) =< s(945) s(943) =< s(944)*2 s(937) =< s(944) s(937) =< s(943) s(940) =< s(942) s(940) =< s(941) s(938) =< s(940) s(938) =< s(939) with precondition: [B=10,C=1,V_p_0>=1,V_n>=16*V_p_0] * Chain [[70,71,72,73,74,75,76,77],81]: 1*it(70)+1*it(71)+1*it(72)+1*it(73)+1*it(74)+1*it(75)+1*it(76)+1*it(77)+1*s(929)+1*s(930)+24*s(931)+3*s(932)+3*s(933)+2*s(934)+1*s(935)+3*s(936)+12*s(937)+2*s(938)+2*s(955)+2*s(956)+12*s(957)+6*s(958)+36*s(959)+36*s(960)+4*s(961)+2*s(962)+6*s(963)+24*s(964)+4*s(965)+2*s(985)+2*s(986)+12*s(987)+3*s(988)+6*s(989)+9*s(990)+36*s(991)+6*s(992)+4*s(993)+2*s(994)+6*s(995)+24*s(996)+4*s(997)+1*s(1021)+1*s(1022)+6*s(1023)+3*s(1024)+6*s(1025)+18*s(1026)+2*s(1027)+1*s(1028)+3*s(1029)+12*s(1030)+2*s(1031)+1*s(1049)+1*s(1050)+6*s(1051)+3*s(1052)+1*s(1053)+18*s(1054)+2*s(1055)+6*s(1056)+12*s(1057)+2*s(1058)+2*s(1074)+2*s(1075)+12*s(1076)+6*s(1077)+36*s(1079)+4*s(1080)+12*s(1081)+24*s(1082)+2*s(1097)+2*s(1098)+12*s(1099)+1*s(1100)+6*s(1101)+3*s(1102)+36*s(1103)+2*s(1104)+4*s(1105)+12*s(1106)+24*s(1107)+2*s(1108)+6*s(1109)+4*s(1110)+1*s(1133)+1*s(1134)+6*s(1135)+3*s(1136)+30*s(1138)+2*s(1139)+6*s(1140)+2*s(1227)+2*s(1230)+12*s(1233)+18*s(1236)+4*s(1247)+2*s(1248)+6*s(1253)+24*s(1256)+4*s(1279)+0 Such that:aux(250) =< V_n-6*V_p_0 aux(234) =< V_n-4*V_p_0 aux(235) =< V_n-V_p_0 aux(367) =< V_n/2 aux(237) =< V_n/2-V_p_0 aux(366) =< V_n/4 aux(292) =< V_n/6-4/3*V_p_0+1/6 it(76) =< V_n/9-2/3*V_p_0 it(72) =< V_n/18-V_p_0/3 aux(299) =< 2/3*V_n-4/3*V_p_0 aux(301) =< 2/3*V_n-2/3*V_p_0 aux(303) =< 2/9*V_n-4/3*V_p_0+1/9 aux(368) =< 3/4*V_n aux(305) =< 4/9*V_n-2/3*V_p_0 aux(307) =< 8/9*V_n-4/3*V_p_0 aux(370) =< V_n aux(371) =< V_n/3-4/3*V_p_0 aux(372) =< V_n/6-2/3*V_p_0 aux(373) =< V_n/12-V_p_0/3 aux(374) =< V_n/24-V_p_0/6 it(70) =< aux(374) s(1227) =< aux(366) s(1230) =< aux(366) s(1229) =< aux(367) s(1229) =< aux(370) s(1230) =< aux(370) s(1236) =< aux(370) s(1236) =< aux(367) s(1231) =< aux(367) s(1227) =< aux(367) s(1231) =< s(1229) s(1227) =< s(1229) s(1232) =< s(1231)*2 s(1233) =< s(1231) s(1233) =< s(1232) s(1247) =< aux(366) s(1248) =< aux(366) s(1248) =< aux(368) s(1251) =< aux(368) s(1251) =< aux(370) s(1253) =< aux(366) s(1253) =< s(1229) s(1248) =< s(1229) s(1254) =< aux(367) s(1247) =< aux(367) s(1254) =< s(1251) s(1247) =< s(1251) s(1255) =< s(1254)*2 s(1256) =< s(1254) s(1256) =< s(1255) s(1274) =< aux(366) s(1274) =< aux(368) s(1279) =< s(1274) s(1279) =< s(1229) it(71) =< aux(292) it(75) =< aux(292) it(71) =< aux(371) it(72) =< aux(371) it(73) =< aux(371) it(74) =< aux(371) it(75) =< aux(371) it(76) =< aux(371) it(77) =< aux(371) it(76) =< aux(372) it(77) =< aux(372) it(70) =< aux(373) it(71) =< aux(373) it(72) =< aux(373) it(73) =< aux(373) it(74) =< aux(373) it(75) =< aux(373) it(76) =< aux(373) it(77) =< aux(373) it(71) =< aux(374) it(72) =< aux(374) it(73) =< aux(374) aux(246) =< aux(299) it(72) =< aux(299) it(73) =< aux(299) it(74) =< aux(299) it(75) =< aux(299) it(76) =< aux(299) it(77) =< aux(299) aux(246) =< aux(371) aux(239) =< aux(301) it(71) =< aux(301) it(72) =< aux(301) it(73) =< aux(301) it(74) =< aux(301) it(75) =< aux(301) it(76) =< aux(301) it(77) =< aux(301) aux(239) =< aux(372) it(71) =< aux(372) it(72) =< aux(372) it(73) =< aux(372) it(74) =< aux(372) it(75) =< aux(372) it(73) =< aux(303) it(77) =< aux(303) aux(256) =< aux(305) it(73) =< aux(305) it(74) =< aux(305) it(75) =< aux(305) it(76) =< aux(305) it(77) =< aux(305) aux(256) =< aux(372) aux(285) =< aux(307) it(77) =< aux(307) aux(285) =< aux(371) aux(261) =< aux(234)*(1/4) aux(267) =< aux(235)*(1/2) aux(244) =< aux(237) aux(270) =< aux(370)*(1/2) aux(251) =< aux(237)*2 aux(279) =< aux(250) aux(249) =< aux(234) aux(240) =< aux(370) aux(243) =< aux(234)*(1/2) aux(241) =< aux(235) s(1000) =< aux(256)*(1/2) s(1119) =< aux(285)*(1/4) s(1113) =< aux(285)*(1/2) s(968) =< aux(246)*(1/4) s(974) =< aux(246)*(1/2) s(941) =< aux(239)*(1/2) s(1019) =< it(72)*aux(250) aux(238) =< it(70)*aux(234) s(953) =< it(70)*aux(237) aux(236) =< it(70)*aux(370) s(942) =< it(70)*aux(235) s(1150) =< it(77)*aux(261) s(1147) =< it(77)*aux(267) s(1144) =< it(77)*aux(244) s(1141) =< it(77)*aux(270) aux(284) =< it(76)*aux(249) s(1125) =< it(76)*aux(267) aux(282) =< it(76)*aux(251) aux(281) =< it(76)*aux(240) s(1131) =< it(76)*aux(279) aux(274) =< it(75)*aux(243) s(1091) =< it(75)*aux(267) s(1085) =< it(75)*aux(244) s(1086) =< it(75)*aux(270) aux(268) =< it(74)*aux(249) s(1061) =< it(74)*aux(267) s(1066) =< it(74)*aux(244) aux(265) =< it(74)*aux(240) s(1048) =< it(73)*aux(261) s(1041) =< it(73)*aux(244) aux(259) =< it(73)*aux(240) s(1035) =< it(73)*aux(241) aux(255) =< it(72)*aux(249) aux(254) =< it(72)*aux(251) aux(253) =< it(72)*aux(240) s(1001) =< it(72)*aux(241) aux(245) =< it(71)*aux(243) s(984) =< it(71)*aux(244) aux(242) =< it(71)*aux(240) s(969) =< it(71)*aux(241) s(952) =< aux(238)*(1/4) s(946) =< aux(236)*(1/2) s(1130) =< aux(284)*(1/4) s(1117) =< aux(282)*(1/2) s(1118) =< aux(281)*(1/2) s(1096) =< aux(274)*(1/2) s(1072) =< aux(268)*(1/4) s(1062) =< aux(265)*(1/2) s(1039) =< aux(259)*(1/2) s(1017) =< aux(255)*(1/4) s(1018) =< aux(254)*(1/2) s(1005) =< aux(253)*(1/2) s(983) =< aux(245)*(1/2) s(973) =< aux(242)*(1/2) s(1136) =< s(1150) s(1025) =< aux(256) s(1134) =< s(1000) s(1133) =< s(1144) s(1149) =< s(1141) s(1149) =< s(1144) s(1148) =< s(1149)*2 s(1138) =< s(1149) s(1138) =< s(1148) s(1146) =< s(1141) s(1133) =< s(1141) s(1146) =< s(1147) s(1133) =< s(1147) s(1145) =< s(1146)*2 s(1135) =< s(1146) s(1135) =< s(1145) s(1139) =< s(1144) s(1140) =< aux(256) s(1140) =< s(1000) s(1139) =< s(1141) s(1121) =< aux(284) s(1100) =< s(1131) s(1122) =< s(1131) s(1097) =< s(1117) s(1101) =< s(1130) s(1111) =< aux(285) s(1102) =< s(1113) s(1098) =< s(1119) s(1128) =< aux(281) s(1121) =< aux(281) s(1100) =< aux(282) s(1128) =< aux(282) s(1102) =< s(1121) s(1100) =< s(1121) s(1127) =< s(1118) s(1127) =< s(1128) s(1126) =< s(1127)*2 s(1103) =< s(1127) s(1103) =< s(1126) s(1124) =< s(1118) s(1097) =< s(1118) s(1124) =< s(1125) s(1097) =< s(1125) s(1123) =< s(1124)*2 s(1099) =< s(1124) s(1099) =< s(1123) s(1122) =< aux(282) s(1104) =< s(1122) s(1104) =< s(1121) s(1111) =< aux(281) s(1108) =< aux(282) s(1108) =< s(1113) s(1109) =< s(1113) s(1109) =< s(1111) s(1108) =< s(1111) s(1105) =< s(1117) s(1106) =< s(1113) s(1106) =< s(1119) s(1116) =< s(1118) s(1105) =< s(1118) s(1116) =< s(1117) s(1115) =< s(1116)*2 s(1107) =< s(1116) s(1107) =< s(1115) s(1112) =< aux(282) s(1112) =< s(1113) s(1110) =< s(1112) s(1110) =< s(1111) s(1074) =< s(1085) s(1077) =< s(1096) s(1075) =< s(968) s(959) =< aux(246) s(959) =< s(974) s(1093) =< s(1086) s(1093) =< aux(274) s(1092) =< s(1093)*2 s(1079) =< s(1093) s(1079) =< s(1092) s(1090) =< s(1086) s(1074) =< s(1086) s(1090) =< s(1091) s(1074) =< s(1091) s(1089) =< s(1090)*2 s(1076) =< s(1090) s(1076) =< s(1089) s(1080) =< s(1085) s(1081) =< s(974) s(1081) =< s(968) s(1084) =< s(1086) s(1080) =< s(1086) s(1084) =< s(1085) s(1083) =< s(1084)*2 s(1082) =< s(1084) s(1082) =< s(1083) s(1058) =< aux(268) s(1049) =< s(1066) s(1052) =< s(1072) s(1053) =< aux(239) s(1050) =< s(941) s(1071) =< aux(265) s(1058) =< aux(265) s(1071) =< s(1062) s(1070) =< s(1062) s(1070) =< s(1071) s(1069) =< s(1070)*2 s(1054) =< s(1070) s(1054) =< s(1069) s(1055) =< s(1066) s(1056) =< aux(239) s(1056) =< s(941) s(1065) =< s(1062) s(1055) =< s(1062) s(1065) =< s(1066) s(1064) =< s(1065)*2 s(1057) =< s(1065) s(1057) =< s(1064) s(1053) =< aux(265) s(1060) =< s(1062) s(1049) =< s(1062) s(1060) =< s(1061) s(1049) =< s(1061) s(1059) =< s(1060)*2 s(1051) =< s(1060) s(1051) =< s(1059) s(1024) =< s(1048) s(1022) =< s(1000) s(1045) =< aux(259) s(1022) =< aux(259) s(1045) =< s(1039) s(1021) =< s(1041) s(1047) =< s(1039) s(1047) =< s(1041) s(1046) =< s(1047)*2 s(1026) =< s(1047) s(1026) =< s(1046) s(1044) =< s(1039) s(1021) =< s(1039) s(1044) =< s(1045) s(1021) =< s(1045) s(1043) =< s(1044)*2 s(1023) =< s(1044) s(1023) =< s(1043) s(1038) =< aux(259) s(1032) =< aux(259) s(1028) =< s(1035) s(1038) =< s(1035) s(1027) =< s(1041) s(1032) =< aux(256) s(1028) =< s(1000) s(1029) =< s(1000) s(1029) =< s(1032) s(1028) =< s(1032) s(1037) =< s(1039) s(1027) =< s(1039) s(1037) =< s(1038) s(1027) =< s(1038) s(1036) =< s(1037)*2 s(1030) =< s(1037) s(1030) =< s(1036) s(1033) =< s(1035) s(1033) =< s(1000) s(1031) =< s(1033) s(1031) =< s(1032) s(1008) =< aux(255) s(988) =< s(1019) s(1009) =< s(1019) s(985) =< s(1018) s(993) =< s(1018) s(989) =< s(1017) s(990) =< aux(256) s(986) =< s(1000) s(1013) =< aux(253) s(986) =< aux(253) s(1016) =< aux(253) s(1008) =< aux(253) s(988) =< aux(254) s(1016) =< aux(254) s(1013) =< s(1005) s(990) =< s(1008) s(988) =< s(1008) s(1015) =< s(1005) s(1015) =< s(1016) s(1014) =< s(1015)*2 s(991) =< s(1015) s(991) =< s(1014) s(1012) =< s(1005) s(985) =< s(1005) s(1012) =< s(1013) s(985) =< s(1013) s(1011) =< s(1012)*2 s(987) =< s(1012) s(987) =< s(1011) s(1009) =< aux(254) s(992) =< s(1009) s(992) =< s(1008) s(1004) =< aux(253) s(998) =< aux(253) s(994) =< s(1001) s(1004) =< s(1001) s(998) =< aux(256) s(994) =< s(1000) s(995) =< s(1000) s(995) =< s(998) s(994) =< s(998) s(1003) =< s(1005) s(993) =< s(1005) s(1003) =< s(1004) s(993) =< s(1004) s(1002) =< s(1003)*2 s(996) =< s(1003) s(996) =< s(1002) s(999) =< s(1001) s(999) =< s(1000) s(997) =< s(999) s(997) =< s(998) s(955) =< s(984) s(961) =< s(984) s(958) =< s(983) s(956) =< s(968) s(978) =< aux(242) s(956) =< aux(242) s(978) =< s(973) s(980) =< s(973) s(980) =< aux(245) s(979) =< s(980)*2 s(960) =< s(980) s(960) =< s(979) s(977) =< s(973) s(955) =< s(973) s(977) =< s(978) s(955) =< s(978) s(976) =< s(977)*2 s(957) =< s(977) s(957) =< s(976) s(972) =< aux(242) s(966) =< aux(242) s(962) =< s(969) s(972) =< s(969) s(966) =< s(974) s(962) =< s(968) s(963) =< s(968) s(963) =< s(966) s(962) =< s(966) s(971) =< s(973) s(961) =< s(973) s(971) =< s(972) s(961) =< s(972) s(970) =< s(971)*2 s(964) =< s(971) s(964) =< s(970) s(967) =< s(969) s(967) =< s(968) s(965) =< s(967) s(965) =< s(966) s(933) =< aux(238) s(929) =< s(953) s(934) =< s(953) s(932) =< s(952) s(939) =< aux(239) s(930) =< s(941) s(948) =< aux(236) s(930) =< aux(236) s(933) =< aux(236) s(948) =< s(946) s(950) =< s(946) s(950) =< s(948) s(949) =< s(950)*2 s(931) =< s(950) s(931) =< s(949) s(929) =< s(946) s(929) =< s(948) s(945) =< aux(236) s(939) =< aux(236) s(935) =< s(942) s(945) =< s(942) s(935) =< s(941) s(936) =< s(941) s(936) =< s(939) s(935) =< s(939) s(944) =< s(946) s(934) =< s(946) s(944) =< s(945) s(934) =< s(945) s(943) =< s(944)*2 s(937) =< s(944) s(937) =< s(943) s(940) =< s(942) s(940) =< s(941) s(938) =< s(940) s(938) =< s(939) with precondition: [B=10,C=1,V_p_0>=1,V_n>=16*V_p_0] * Chain [[70,71,72,73,74,75,76,77],80]: 1*it(70)+1*it(71)+1*it(72)+1*it(73)+1*it(74)+1*it(75)+1*it(76)+1*it(77)+1*s(929)+1*s(930)+24*s(931)+3*s(932)+3*s(933)+2*s(934)+1*s(935)+3*s(936)+12*s(937)+2*s(938)+2*s(955)+2*s(956)+12*s(957)+6*s(958)+36*s(959)+36*s(960)+4*s(961)+2*s(962)+6*s(963)+24*s(964)+4*s(965)+2*s(985)+2*s(986)+12*s(987)+3*s(988)+6*s(989)+9*s(990)+36*s(991)+6*s(992)+4*s(993)+2*s(994)+6*s(995)+24*s(996)+4*s(997)+1*s(1021)+1*s(1022)+6*s(1023)+3*s(1024)+6*s(1025)+18*s(1026)+2*s(1027)+1*s(1028)+3*s(1029)+12*s(1030)+2*s(1031)+1*s(1049)+1*s(1050)+6*s(1051)+3*s(1052)+1*s(1053)+18*s(1054)+2*s(1055)+6*s(1056)+12*s(1057)+2*s(1058)+2*s(1074)+2*s(1075)+12*s(1076)+6*s(1077)+36*s(1079)+4*s(1080)+12*s(1081)+24*s(1082)+2*s(1097)+2*s(1098)+12*s(1099)+1*s(1100)+6*s(1101)+3*s(1102)+36*s(1103)+2*s(1104)+4*s(1105)+12*s(1106)+24*s(1107)+2*s(1108)+6*s(1109)+4*s(1110)+1*s(1133)+1*s(1134)+6*s(1135)+3*s(1136)+30*s(1138)+2*s(1139)+6*s(1140)+2*s(1299)+2*s(1302)+12*s(1305)+3*s(1306)+3*s(1309)+0 Such that:aux(250) =< V_n-6*V_p_0 aux(234) =< V_n-4*V_p_0 aux(235) =< V_n-V_p_0 aux(292) =< V_n/6-4/3*V_p_0+1/6 it(76) =< V_n/9-2/3*V_p_0 aux(295) =< V_n/12-V_p_0/3 it(72) =< V_n/18-V_p_0/3 it(70) =< V_n/24-V_p_0/6 aux(299) =< 2/3*V_n-4/3*V_p_0 aux(301) =< 2/3*V_n-2/3*V_p_0 aux(303) =< 2/9*V_n-4/3*V_p_0+1/9 aux(305) =< 4/9*V_n-2/3*V_p_0 aux(307) =< 8/9*V_n-4/3*V_p_0 aux(385) =< V_n aux(386) =< V_n-2*V_p_0 aux(387) =< 2*V_n-4*V_p_0 aux(388) =< V_n/2 aux(389) =< V_n/2-V_p_0 aux(382) =< aux(385) aux(296) =< aux(386) aux(382) =< aux(388) aux(296) =< aux(389) s(1306) =< aux(386) s(1299) =< aux(382) s(1302) =< aux(382) s(1309) =< aux(385) s(1301) =< aux(385) s(1302) =< aux(385) s(1301) =< aux(388) s(1306) =< aux(385) s(1303) =< aux(388) s(1299) =< aux(388) s(1303) =< s(1301) s(1299) =< s(1301) s(1304) =< s(1303)*2 s(1305) =< s(1303) s(1305) =< s(1304) it(71) =< aux(292) it(75) =< aux(292) it(71) =< aux(387) it(72) =< aux(387) it(73) =< aux(387) it(74) =< aux(387) it(75) =< aux(387) it(76) =< aux(387) it(77) =< aux(387) it(76) =< aux(386) it(77) =< aux(386) it(70) =< aux(295) it(71) =< aux(295) it(72) =< aux(295) it(73) =< aux(295) it(74) =< aux(295) it(75) =< aux(295) it(76) =< aux(295) it(77) =< aux(295) it(70) =< aux(296) it(71) =< aux(296) it(72) =< aux(296) it(73) =< aux(296) it(74) =< aux(296) it(75) =< aux(296) it(76) =< aux(296) it(77) =< aux(296) aux(246) =< aux(299) it(72) =< aux(299) it(73) =< aux(299) it(74) =< aux(299) it(75) =< aux(299) it(76) =< aux(299) it(77) =< aux(299) aux(246) =< aux(387) aux(239) =< aux(301) it(71) =< aux(301) it(72) =< aux(301) it(73) =< aux(301) it(74) =< aux(301) it(75) =< aux(301) it(76) =< aux(301) it(77) =< aux(301) aux(239) =< aux(386) it(71) =< aux(386) it(72) =< aux(386) it(73) =< aux(386) it(74) =< aux(386) it(75) =< aux(386) it(73) =< aux(303) it(77) =< aux(303) aux(256) =< aux(305) it(73) =< aux(305) it(74) =< aux(305) it(75) =< aux(305) it(76) =< aux(305) it(77) =< aux(305) aux(256) =< aux(386) aux(285) =< aux(307) it(77) =< aux(307) aux(285) =< aux(387) aux(261) =< aux(234)*(1/4) aux(267) =< aux(235)*(1/2) aux(244) =< aux(389) aux(270) =< aux(385)*(1/2) aux(251) =< aux(389)*2 aux(279) =< aux(250) aux(249) =< aux(234) aux(240) =< aux(385) aux(243) =< aux(234)*(1/2) aux(241) =< aux(235) s(1000) =< aux(256)*(1/2) s(1119) =< aux(285)*(1/4) s(1113) =< aux(285)*(1/2) s(968) =< aux(246)*(1/4) s(974) =< aux(246)*(1/2) s(941) =< aux(239)*(1/2) s(1019) =< it(72)*aux(250) aux(238) =< it(70)*aux(234) s(953) =< it(70)*aux(389) aux(236) =< it(70)*aux(385) s(942) =< it(70)*aux(235) s(1150) =< it(77)*aux(261) s(1147) =< it(77)*aux(267) s(1144) =< it(77)*aux(244) s(1141) =< it(77)*aux(270) aux(284) =< it(76)*aux(249) s(1125) =< it(76)*aux(267) aux(282) =< it(76)*aux(251) aux(281) =< it(76)*aux(240) s(1131) =< it(76)*aux(279) aux(274) =< it(75)*aux(243) s(1091) =< it(75)*aux(267) s(1085) =< it(75)*aux(244) s(1086) =< it(75)*aux(270) aux(268) =< it(74)*aux(249) s(1061) =< it(74)*aux(267) s(1066) =< it(74)*aux(244) aux(265) =< it(74)*aux(240) s(1048) =< it(73)*aux(261) s(1041) =< it(73)*aux(244) aux(259) =< it(73)*aux(240) s(1035) =< it(73)*aux(241) aux(255) =< it(72)*aux(249) aux(254) =< it(72)*aux(251) aux(253) =< it(72)*aux(240) s(1001) =< it(72)*aux(241) aux(245) =< it(71)*aux(243) s(984) =< it(71)*aux(244) aux(242) =< it(71)*aux(240) s(969) =< it(71)*aux(241) s(952) =< aux(238)*(1/4) s(946) =< aux(236)*(1/2) s(1130) =< aux(284)*(1/4) s(1117) =< aux(282)*(1/2) s(1118) =< aux(281)*(1/2) s(1096) =< aux(274)*(1/2) s(1072) =< aux(268)*(1/4) s(1062) =< aux(265)*(1/2) s(1039) =< aux(259)*(1/2) s(1017) =< aux(255)*(1/4) s(1018) =< aux(254)*(1/2) s(1005) =< aux(253)*(1/2) s(983) =< aux(245)*(1/2) s(973) =< aux(242)*(1/2) s(1136) =< s(1150) s(1025) =< aux(256) s(1134) =< s(1000) s(1133) =< s(1144) s(1149) =< s(1141) s(1149) =< s(1144) s(1148) =< s(1149)*2 s(1138) =< s(1149) s(1138) =< s(1148) s(1146) =< s(1141) s(1133) =< s(1141) s(1146) =< s(1147) s(1133) =< s(1147) s(1145) =< s(1146)*2 s(1135) =< s(1146) s(1135) =< s(1145) s(1139) =< s(1144) s(1140) =< aux(256) s(1140) =< s(1000) s(1139) =< s(1141) s(1121) =< aux(284) s(1100) =< s(1131) s(1122) =< s(1131) s(1097) =< s(1117) s(1101) =< s(1130) s(1111) =< aux(285) s(1102) =< s(1113) s(1098) =< s(1119) s(1128) =< aux(281) s(1121) =< aux(281) s(1100) =< aux(282) s(1128) =< aux(282) s(1102) =< s(1121) s(1100) =< s(1121) s(1127) =< s(1118) s(1127) =< s(1128) s(1126) =< s(1127)*2 s(1103) =< s(1127) s(1103) =< s(1126) s(1124) =< s(1118) s(1097) =< s(1118) s(1124) =< s(1125) s(1097) =< s(1125) s(1123) =< s(1124)*2 s(1099) =< s(1124) s(1099) =< s(1123) s(1122) =< aux(282) s(1104) =< s(1122) s(1104) =< s(1121) s(1111) =< aux(281) s(1108) =< aux(282) s(1108) =< s(1113) s(1109) =< s(1113) s(1109) =< s(1111) s(1108) =< s(1111) s(1105) =< s(1117) s(1106) =< s(1113) s(1106) =< s(1119) s(1116) =< s(1118) s(1105) =< s(1118) s(1116) =< s(1117) s(1115) =< s(1116)*2 s(1107) =< s(1116) s(1107) =< s(1115) s(1112) =< aux(282) s(1112) =< s(1113) s(1110) =< s(1112) s(1110) =< s(1111) s(1074) =< s(1085) s(1077) =< s(1096) s(1075) =< s(968) s(959) =< aux(246) s(959) =< s(974) s(1093) =< s(1086) s(1093) =< aux(274) s(1092) =< s(1093)*2 s(1079) =< s(1093) s(1079) =< s(1092) s(1090) =< s(1086) s(1074) =< s(1086) s(1090) =< s(1091) s(1074) =< s(1091) s(1089) =< s(1090)*2 s(1076) =< s(1090) s(1076) =< s(1089) s(1080) =< s(1085) s(1081) =< s(974) s(1081) =< s(968) s(1084) =< s(1086) s(1080) =< s(1086) s(1084) =< s(1085) s(1083) =< s(1084)*2 s(1082) =< s(1084) s(1082) =< s(1083) s(1058) =< aux(268) s(1049) =< s(1066) s(1052) =< s(1072) s(1053) =< aux(239) s(1050) =< s(941) s(1071) =< aux(265) s(1058) =< aux(265) s(1071) =< s(1062) s(1070) =< s(1062) s(1070) =< s(1071) s(1069) =< s(1070)*2 s(1054) =< s(1070) s(1054) =< s(1069) s(1055) =< s(1066) s(1056) =< aux(239) s(1056) =< s(941) s(1065) =< s(1062) s(1055) =< s(1062) s(1065) =< s(1066) s(1064) =< s(1065)*2 s(1057) =< s(1065) s(1057) =< s(1064) s(1053) =< aux(265) s(1060) =< s(1062) s(1049) =< s(1062) s(1060) =< s(1061) s(1049) =< s(1061) s(1059) =< s(1060)*2 s(1051) =< s(1060) s(1051) =< s(1059) s(1024) =< s(1048) s(1022) =< s(1000) s(1045) =< aux(259) s(1022) =< aux(259) s(1045) =< s(1039) s(1021) =< s(1041) s(1047) =< s(1039) s(1047) =< s(1041) s(1046) =< s(1047)*2 s(1026) =< s(1047) s(1026) =< s(1046) s(1044) =< s(1039) s(1021) =< s(1039) s(1044) =< s(1045) s(1021) =< s(1045) s(1043) =< s(1044)*2 s(1023) =< s(1044) s(1023) =< s(1043) s(1038) =< aux(259) s(1032) =< aux(259) s(1028) =< s(1035) s(1038) =< s(1035) s(1027) =< s(1041) s(1032) =< aux(256) s(1028) =< s(1000) s(1029) =< s(1000) s(1029) =< s(1032) s(1028) =< s(1032) s(1037) =< s(1039) s(1027) =< s(1039) s(1037) =< s(1038) s(1027) =< s(1038) s(1036) =< s(1037)*2 s(1030) =< s(1037) s(1030) =< s(1036) s(1033) =< s(1035) s(1033) =< s(1000) s(1031) =< s(1033) s(1031) =< s(1032) s(1008) =< aux(255) s(988) =< s(1019) s(1009) =< s(1019) s(985) =< s(1018) s(993) =< s(1018) s(989) =< s(1017) s(990) =< aux(256) s(986) =< s(1000) s(1013) =< aux(253) s(986) =< aux(253) s(1016) =< aux(253) s(1008) =< aux(253) s(988) =< aux(254) s(1016) =< aux(254) s(1013) =< s(1005) s(990) =< s(1008) s(988) =< s(1008) s(1015) =< s(1005) s(1015) =< s(1016) s(1014) =< s(1015)*2 s(991) =< s(1015) s(991) =< s(1014) s(1012) =< s(1005) s(985) =< s(1005) s(1012) =< s(1013) s(985) =< s(1013) s(1011) =< s(1012)*2 s(987) =< s(1012) s(987) =< s(1011) s(1009) =< aux(254) s(992) =< s(1009) s(992) =< s(1008) s(1004) =< aux(253) s(998) =< aux(253) s(994) =< s(1001) s(1004) =< s(1001) s(998) =< aux(256) s(994) =< s(1000) s(995) =< s(1000) s(995) =< s(998) s(994) =< s(998) s(1003) =< s(1005) s(993) =< s(1005) s(1003) =< s(1004) s(993) =< s(1004) s(1002) =< s(1003)*2 s(996) =< s(1003) s(996) =< s(1002) s(999) =< s(1001) s(999) =< s(1000) s(997) =< s(999) s(997) =< s(998) s(955) =< s(984) s(961) =< s(984) s(958) =< s(983) s(956) =< s(968) s(978) =< aux(242) s(956) =< aux(242) s(978) =< s(973) s(980) =< s(973) s(980) =< aux(245) s(979) =< s(980)*2 s(960) =< s(980) s(960) =< s(979) s(977) =< s(973) s(955) =< s(973) s(977) =< s(978) s(955) =< s(978) s(976) =< s(977)*2 s(957) =< s(977) s(957) =< s(976) s(972) =< aux(242) s(966) =< aux(242) s(962) =< s(969) s(972) =< s(969) s(966) =< s(974) s(962) =< s(968) s(963) =< s(968) s(963) =< s(966) s(962) =< s(966) s(971) =< s(973) s(961) =< s(973) s(971) =< s(972) s(961) =< s(972) s(970) =< s(971)*2 s(964) =< s(971) s(964) =< s(970) s(967) =< s(969) s(967) =< s(968) s(965) =< s(967) s(965) =< s(966) s(933) =< aux(238) s(929) =< s(953) s(934) =< s(953) s(932) =< s(952) s(939) =< aux(239) s(930) =< s(941) s(948) =< aux(236) s(930) =< aux(236) s(933) =< aux(236) s(948) =< s(946) s(950) =< s(946) s(950) =< s(948) s(949) =< s(950)*2 s(931) =< s(950) s(931) =< s(949) s(929) =< s(946) s(929) =< s(948) s(945) =< aux(236) s(939) =< aux(236) s(935) =< s(942) s(945) =< s(942) s(935) =< s(941) s(936) =< s(941) s(936) =< s(939) s(935) =< s(939) s(944) =< s(946) s(934) =< s(946) s(944) =< s(945) s(934) =< s(945) s(943) =< s(944)*2 s(937) =< s(944) s(937) =< s(943) s(940) =< s(942) s(940) =< s(941) s(938) =< s(940) s(938) =< s(939) with precondition: [B=10,C=1,V_p_0>=1,V_n>=8*V_p_0+1] * Chain [[70,71,72,73,74,75,76,77],79]: 1*it(70)+1*it(71)+1*it(72)+1*it(73)+1*it(74)+1*it(75)+1*it(76)+1*it(77)+1*s(929)+1*s(930)+24*s(931)+3*s(932)+3*s(933)+2*s(934)+1*s(935)+3*s(936)+12*s(937)+2*s(938)+2*s(955)+2*s(956)+12*s(957)+6*s(958)+36*s(959)+36*s(960)+4*s(961)+2*s(962)+6*s(963)+24*s(964)+4*s(965)+2*s(985)+2*s(986)+12*s(987)+3*s(988)+6*s(989)+9*s(990)+36*s(991)+6*s(992)+4*s(993)+2*s(994)+6*s(995)+24*s(996)+4*s(997)+1*s(1021)+1*s(1022)+6*s(1023)+3*s(1024)+6*s(1025)+18*s(1026)+2*s(1027)+1*s(1028)+3*s(1029)+12*s(1030)+2*s(1031)+1*s(1049)+1*s(1050)+6*s(1051)+3*s(1052)+1*s(1053)+18*s(1054)+2*s(1055)+6*s(1056)+12*s(1057)+2*s(1058)+2*s(1074)+2*s(1075)+12*s(1076)+6*s(1077)+36*s(1079)+4*s(1080)+12*s(1081)+24*s(1082)+2*s(1097)+2*s(1098)+12*s(1099)+1*s(1100)+6*s(1101)+3*s(1102)+36*s(1103)+2*s(1104)+4*s(1105)+12*s(1106)+24*s(1107)+2*s(1108)+6*s(1109)+4*s(1110)+1*s(1133)+1*s(1134)+6*s(1135)+3*s(1136)+30*s(1138)+2*s(1139)+6*s(1140)+2*s(1322)+2*s(1324)+12*s(1327)+3*s(1328)+3*s(1331)+0 Such that:aux(250) =< V_n-6*V_p_0 aux(234) =< V_n-4*V_p_0 aux(237) =< V_n/2-V_p_0 aux(298) =< V_n/2-V_p_0/2 aux(292) =< V_n/6-4/3*V_p_0+1/6 it(76) =< V_n/9-2/3*V_p_0 aux(295) =< V_n/12-V_p_0/3 it(72) =< V_n/18-V_p_0/3 it(70) =< V_n/24-V_p_0/6 aux(299) =< 2/3*V_n-4/3*V_p_0 aux(301) =< 2/3*V_n-2/3*V_p_0 aux(303) =< 2/9*V_n-4/3*V_p_0+1/9 aux(305) =< 4/9*V_n-2/3*V_p_0 aux(307) =< 8/9*V_n-4/3*V_p_0 aux(397) =< V_n aux(398) =< V_n-2*V_p_0 aux(399) =< V_n-V_p_0 aux(400) =< 2*V_n-4*V_p_0 aux(401) =< 2*V_n-2*V_p_0 aux(402) =< 4*V_n-4*V_p_0 aux(403) =< V_n/2 aux(393) =< aux(397) aux(294) =< aux(398) aux(296) =< aux(398) aux(298) =< aux(398) aux(296) =< aux(399) aux(293) =< aux(400) aux(294) =< aux(401) aux(293) =< aux(402) aux(393) =< aux(403) s(1328) =< aux(398) s(1322) =< aux(393) s(1324) =< aux(393) s(1331) =< aux(397) s(1328) =< aux(397) s(1325) =< aux(403) s(1322) =< aux(403) s(1325) =< aux(399) s(1322) =< aux(399) s(1326) =< s(1325)*2 s(1327) =< s(1325) s(1327) =< s(1326) it(71) =< aux(292) it(75) =< aux(292) it(71) =< aux(293) it(72) =< aux(293) it(73) =< aux(293) it(74) =< aux(293) it(75) =< aux(293) it(76) =< aux(293) it(77) =< aux(293) it(76) =< aux(294) it(77) =< aux(294) it(70) =< aux(295) it(71) =< aux(295) it(72) =< aux(295) it(73) =< aux(295) it(74) =< aux(295) it(75) =< aux(295) it(76) =< aux(295) it(77) =< aux(295) it(70) =< aux(296) it(71) =< aux(296) it(72) =< aux(296) it(73) =< aux(296) it(74) =< aux(296) it(75) =< aux(296) it(76) =< aux(296) it(77) =< aux(296) it(70) =< aux(298) it(71) =< aux(298) it(72) =< aux(298) it(73) =< aux(298) aux(246) =< aux(299) it(72) =< aux(299) it(73) =< aux(299) it(74) =< aux(299) it(75) =< aux(299) it(76) =< aux(299) it(77) =< aux(299) aux(246) =< aux(293) aux(239) =< aux(301) it(71) =< aux(301) it(72) =< aux(301) it(73) =< aux(301) it(74) =< aux(301) it(75) =< aux(301) it(76) =< aux(301) it(77) =< aux(301) aux(239) =< aux(294) it(71) =< aux(294) it(72) =< aux(294) it(73) =< aux(294) it(74) =< aux(294) it(75) =< aux(294) it(73) =< aux(303) it(77) =< aux(303) aux(256) =< aux(305) it(73) =< aux(305) it(74) =< aux(305) it(75) =< aux(305) it(76) =< aux(305) it(77) =< aux(305) aux(256) =< aux(294) aux(285) =< aux(307) it(77) =< aux(307) aux(285) =< aux(400) it(77) =< aux(400) aux(261) =< aux(234)*(1/4) aux(267) =< aux(399)*(1/2) aux(244) =< aux(237) aux(270) =< aux(397)*(1/2) aux(251) =< aux(237)*2 aux(279) =< aux(250) aux(249) =< aux(234) aux(240) =< aux(397) aux(243) =< aux(234)*(1/2) aux(241) =< aux(399) s(1000) =< aux(256)*(1/2) s(1119) =< aux(285)*(1/4) s(1113) =< aux(285)*(1/2) s(968) =< aux(246)*(1/4) s(974) =< aux(246)*(1/2) s(941) =< aux(239)*(1/2) s(1019) =< it(72)*aux(250) aux(238) =< it(70)*aux(234) s(953) =< it(70)*aux(237) aux(236) =< it(70)*aux(397) s(942) =< it(70)*aux(399) s(1150) =< it(77)*aux(261) s(1147) =< it(77)*aux(267) s(1144) =< it(77)*aux(244) s(1141) =< it(77)*aux(270) aux(284) =< it(76)*aux(249) s(1125) =< it(76)*aux(267) aux(282) =< it(76)*aux(251) aux(281) =< it(76)*aux(240) s(1131) =< it(76)*aux(279) aux(274) =< it(75)*aux(243) s(1091) =< it(75)*aux(267) s(1085) =< it(75)*aux(244) s(1086) =< it(75)*aux(270) aux(268) =< it(74)*aux(249) s(1061) =< it(74)*aux(267) s(1066) =< it(74)*aux(244) aux(265) =< it(74)*aux(240) s(1048) =< it(73)*aux(261) s(1041) =< it(73)*aux(244) aux(259) =< it(73)*aux(240) s(1035) =< it(73)*aux(241) aux(255) =< it(72)*aux(249) aux(254) =< it(72)*aux(251) aux(253) =< it(72)*aux(240) s(1001) =< it(72)*aux(241) aux(245) =< it(71)*aux(243) s(984) =< it(71)*aux(244) aux(242) =< it(71)*aux(240) s(969) =< it(71)*aux(241) s(952) =< aux(238)*(1/4) s(946) =< aux(236)*(1/2) s(1130) =< aux(284)*(1/4) s(1117) =< aux(282)*(1/2) s(1118) =< aux(281)*(1/2) s(1096) =< aux(274)*(1/2) s(1072) =< aux(268)*(1/4) s(1062) =< aux(265)*(1/2) s(1039) =< aux(259)*(1/2) s(1017) =< aux(255)*(1/4) s(1018) =< aux(254)*(1/2) s(1005) =< aux(253)*(1/2) s(983) =< aux(245)*(1/2) s(973) =< aux(242)*(1/2) s(1136) =< s(1150) s(1025) =< aux(256) s(1134) =< s(1000) s(1133) =< s(1144) s(1149) =< s(1141) s(1149) =< s(1144) s(1148) =< s(1149)*2 s(1138) =< s(1149) s(1138) =< s(1148) s(1146) =< s(1141) s(1133) =< s(1141) s(1146) =< s(1147) s(1133) =< s(1147) s(1145) =< s(1146)*2 s(1135) =< s(1146) s(1135) =< s(1145) s(1139) =< s(1144) s(1140) =< aux(256) s(1140) =< s(1000) s(1139) =< s(1141) s(1121) =< aux(284) s(1100) =< s(1131) s(1122) =< s(1131) s(1097) =< s(1117) s(1101) =< s(1130) s(1111) =< aux(285) s(1102) =< s(1113) s(1098) =< s(1119) s(1128) =< aux(281) s(1121) =< aux(281) s(1100) =< aux(282) s(1128) =< aux(282) s(1102) =< s(1121) s(1100) =< s(1121) s(1127) =< s(1118) s(1127) =< s(1128) s(1126) =< s(1127)*2 s(1103) =< s(1127) s(1103) =< s(1126) s(1124) =< s(1118) s(1097) =< s(1118) s(1124) =< s(1125) s(1097) =< s(1125) s(1123) =< s(1124)*2 s(1099) =< s(1124) s(1099) =< s(1123) s(1122) =< aux(282) s(1104) =< s(1122) s(1104) =< s(1121) s(1111) =< aux(281) s(1108) =< aux(282) s(1108) =< s(1113) s(1109) =< s(1113) s(1109) =< s(1111) s(1108) =< s(1111) s(1105) =< s(1117) s(1106) =< s(1113) s(1106) =< s(1119) s(1116) =< s(1118) s(1105) =< s(1118) s(1116) =< s(1117) s(1115) =< s(1116)*2 s(1107) =< s(1116) s(1107) =< s(1115) s(1112) =< aux(282) s(1112) =< s(1113) s(1110) =< s(1112) s(1110) =< s(1111) s(1074) =< s(1085) s(1077) =< s(1096) s(1075) =< s(968) s(959) =< aux(246) s(959) =< s(974) s(1093) =< s(1086) s(1093) =< aux(274) s(1092) =< s(1093)*2 s(1079) =< s(1093) s(1079) =< s(1092) s(1090) =< s(1086) s(1074) =< s(1086) s(1090) =< s(1091) s(1074) =< s(1091) s(1089) =< s(1090)*2 s(1076) =< s(1090) s(1076) =< s(1089) s(1080) =< s(1085) s(1081) =< s(974) s(1081) =< s(968) s(1084) =< s(1086) s(1080) =< s(1086) s(1084) =< s(1085) s(1083) =< s(1084)*2 s(1082) =< s(1084) s(1082) =< s(1083) s(1058) =< aux(268) s(1049) =< s(1066) s(1052) =< s(1072) s(1053) =< aux(239) s(1050) =< s(941) s(1071) =< aux(265) s(1058) =< aux(265) s(1071) =< s(1062) s(1070) =< s(1062) s(1070) =< s(1071) s(1069) =< s(1070)*2 s(1054) =< s(1070) s(1054) =< s(1069) s(1055) =< s(1066) s(1056) =< aux(239) s(1056) =< s(941) s(1065) =< s(1062) s(1055) =< s(1062) s(1065) =< s(1066) s(1064) =< s(1065)*2 s(1057) =< s(1065) s(1057) =< s(1064) s(1053) =< aux(265) s(1060) =< s(1062) s(1049) =< s(1062) s(1060) =< s(1061) s(1049) =< s(1061) s(1059) =< s(1060)*2 s(1051) =< s(1060) s(1051) =< s(1059) s(1024) =< s(1048) s(1022) =< s(1000) s(1045) =< aux(259) s(1022) =< aux(259) s(1045) =< s(1039) s(1021) =< s(1041) s(1047) =< s(1039) s(1047) =< s(1041) s(1046) =< s(1047)*2 s(1026) =< s(1047) s(1026) =< s(1046) s(1044) =< s(1039) s(1021) =< s(1039) s(1044) =< s(1045) s(1021) =< s(1045) s(1043) =< s(1044)*2 s(1023) =< s(1044) s(1023) =< s(1043) s(1038) =< aux(259) s(1032) =< aux(259) s(1028) =< s(1035) s(1038) =< s(1035) s(1027) =< s(1041) s(1032) =< aux(256) s(1028) =< s(1000) s(1029) =< s(1000) s(1029) =< s(1032) s(1028) =< s(1032) s(1037) =< s(1039) s(1027) =< s(1039) s(1037) =< s(1038) s(1027) =< s(1038) s(1036) =< s(1037)*2 s(1030) =< s(1037) s(1030) =< s(1036) s(1033) =< s(1035) s(1033) =< s(1000) s(1031) =< s(1033) s(1031) =< s(1032) s(1008) =< aux(255) s(988) =< s(1019) s(1009) =< s(1019) s(985) =< s(1018) s(993) =< s(1018) s(989) =< s(1017) s(990) =< aux(256) s(986) =< s(1000) s(1013) =< aux(253) s(986) =< aux(253) s(1016) =< aux(253) s(1008) =< aux(253) s(988) =< aux(254) s(1016) =< aux(254) s(1013) =< s(1005) s(990) =< s(1008) s(988) =< s(1008) s(1015) =< s(1005) s(1015) =< s(1016) s(1014) =< s(1015)*2 s(991) =< s(1015) s(991) =< s(1014) s(1012) =< s(1005) s(985) =< s(1005) s(1012) =< s(1013) s(985) =< s(1013) s(1011) =< s(1012)*2 s(987) =< s(1012) s(987) =< s(1011) s(1009) =< aux(254) s(992) =< s(1009) s(992) =< s(1008) s(1004) =< aux(253) s(998) =< aux(253) s(994) =< s(1001) s(1004) =< s(1001) s(998) =< aux(256) s(994) =< s(1000) s(995) =< s(1000) s(995) =< s(998) s(994) =< s(998) s(1003) =< s(1005) s(993) =< s(1005) s(1003) =< s(1004) s(993) =< s(1004) s(1002) =< s(1003)*2 s(996) =< s(1003) s(996) =< s(1002) s(999) =< s(1001) s(999) =< s(1000) s(997) =< s(999) s(997) =< s(998) s(955) =< s(984) s(961) =< s(984) s(958) =< s(983) s(956) =< s(968) s(978) =< aux(242) s(956) =< aux(242) s(978) =< s(973) s(980) =< s(973) s(980) =< aux(245) s(979) =< s(980)*2 s(960) =< s(980) s(960) =< s(979) s(977) =< s(973) s(955) =< s(973) s(977) =< s(978) s(955) =< s(978) s(976) =< s(977)*2 s(957) =< s(977) s(957) =< s(976) s(972) =< aux(242) s(966) =< aux(242) s(962) =< s(969) s(972) =< s(969) s(966) =< s(974) s(962) =< s(968) s(963) =< s(968) s(963) =< s(966) s(962) =< s(966) s(971) =< s(973) s(961) =< s(973) s(971) =< s(972) s(961) =< s(972) s(970) =< s(971)*2 s(964) =< s(971) s(964) =< s(970) s(967) =< s(969) s(967) =< s(968) s(965) =< s(967) s(965) =< s(966) s(933) =< aux(238) s(929) =< s(953) s(934) =< s(953) s(932) =< s(952) s(939) =< aux(239) s(930) =< s(941) s(948) =< aux(236) s(930) =< aux(236) s(933) =< aux(236) s(948) =< s(946) s(950) =< s(946) s(950) =< s(948) s(949) =< s(950)*2 s(931) =< s(950) s(931) =< s(949) s(929) =< s(946) s(929) =< s(948) s(945) =< aux(236) s(939) =< aux(236) s(935) =< s(942) s(945) =< s(942) s(935) =< s(941) s(936) =< s(941) s(936) =< s(939) s(935) =< s(939) s(944) =< s(946) s(934) =< s(946) s(944) =< s(945) s(934) =< s(945) s(943) =< s(944)*2 s(937) =< s(944) s(937) =< s(943) s(940) =< s(942) s(940) =< s(941) s(938) =< s(940) s(938) =< s(939) with precondition: [B=10,C=1,V_p_0>=1,V_n>=12*V_p_0] * Chain [[70,71,72,73,74,75,76,77],78]: 1*it(70)+1*it(71)+1*it(72)+1*it(73)+1*it(74)+1*it(75)+1*it(76)+1*it(77)+1*s(929)+1*s(930)+24*s(931)+3*s(932)+3*s(933)+2*s(934)+1*s(935)+3*s(936)+12*s(937)+2*s(938)+2*s(955)+2*s(956)+12*s(957)+6*s(958)+36*s(959)+36*s(960)+4*s(961)+2*s(962)+6*s(963)+24*s(964)+4*s(965)+2*s(985)+2*s(986)+12*s(987)+3*s(988)+6*s(989)+9*s(990)+36*s(991)+6*s(992)+4*s(993)+2*s(994)+6*s(995)+24*s(996)+4*s(997)+1*s(1021)+1*s(1022)+6*s(1023)+3*s(1024)+6*s(1025)+18*s(1026)+2*s(1027)+1*s(1028)+3*s(1029)+12*s(1030)+2*s(1031)+1*s(1049)+1*s(1050)+6*s(1051)+3*s(1052)+1*s(1053)+18*s(1054)+2*s(1055)+6*s(1056)+12*s(1057)+2*s(1058)+2*s(1074)+2*s(1075)+12*s(1076)+6*s(1077)+36*s(1079)+4*s(1080)+12*s(1081)+24*s(1082)+2*s(1097)+2*s(1098)+12*s(1099)+1*s(1100)+6*s(1101)+3*s(1102)+36*s(1103)+2*s(1104)+4*s(1105)+12*s(1106)+24*s(1107)+2*s(1108)+6*s(1109)+4*s(1110)+1*s(1133)+1*s(1134)+6*s(1135)+3*s(1136)+30*s(1138)+2*s(1139)+6*s(1140)+4*s(1343)+2*s(1344)+6*s(1349)+24*s(1352)+6*s(1353)+6*s(1356)+4*s(1377)+0 Such that:aux(250) =< V_n-6*V_p_0 aux(234) =< V_n-4*V_p_0 aux(306) =< 2*V_n-6*V_p_0 aux(308) =< 4*V_n-12*V_p_0 aux(292) =< V_n/6-4/3*V_p_0+1/6 it(76) =< V_n/9-2/3*V_p_0 aux(295) =< V_n/12-V_p_0/3 it(72) =< V_n/18-V_p_0/3 it(70) =< V_n/24-V_p_0/6 aux(299) =< 2/3*V_n-4/3*V_p_0 aux(301) =< 2/3*V_n-2/3*V_p_0 aux(303) =< 2/9*V_n-4/3*V_p_0+1/9 aux(305) =< 4/9*V_n-2/3*V_p_0 aux(307) =< 8/9*V_n-4/3*V_p_0 aux(424) =< V_n aux(425) =< V_n-2*V_p_0 aux(426) =< V_n-V_p_0 aux(427) =< 2*V_n aux(428) =< 2*V_n-4*V_p_0 aux(429) =< 2*V_n-2*V_p_0 aux(430) =< 4*V_n-4*V_p_0 aux(431) =< V_n/2 aux(432) =< V_n/2-V_p_0 aux(417) =< aux(424) aux(421) =< aux(424) aux(294) =< aux(425) aux(306) =< aux(425) aux(296) =< aux(426) aux(417) =< aux(427) aux(293) =< aux(428) aux(308) =< aux(428) aux(294) =< aux(429) aux(293) =< aux(430) aux(421) =< aux(431) aux(296) =< aux(432) s(1344) =< aux(417) s(1372) =< aux(417) s(1343) =< aux(421) s(1349) =< aux(421) s(1356) =< aux(417) s(1347) =< aux(424) s(1348) =< aux(424) s(1348) =< aux(425) s(1353) =< aux(425) s(1344) =< aux(426) s(1347) =< aux(426) s(1356) =< aux(424) s(1353) =< aux(424) s(1349) =< s(1348) s(1344) =< s(1348) s(1350) =< aux(431) s(1343) =< aux(431) s(1350) =< s(1347) s(1343) =< s(1347) s(1351) =< s(1350)*2 s(1352) =< s(1350) s(1352) =< s(1351) s(1372) =< aux(426) s(1377) =< s(1372) s(1377) =< s(1348) it(71) =< aux(292) it(75) =< aux(292) it(71) =< aux(293) it(72) =< aux(293) it(73) =< aux(293) it(74) =< aux(293) it(75) =< aux(293) it(76) =< aux(293) it(77) =< aux(293) it(76) =< aux(294) it(77) =< aux(294) it(70) =< aux(295) it(71) =< aux(295) it(72) =< aux(295) it(73) =< aux(295) it(74) =< aux(295) it(75) =< aux(295) it(76) =< aux(295) it(77) =< aux(295) it(70) =< aux(296) it(71) =< aux(296) it(72) =< aux(296) it(73) =< aux(296) it(74) =< aux(296) it(75) =< aux(296) it(76) =< aux(296) it(77) =< aux(296) aux(246) =< aux(299) it(72) =< aux(299) it(73) =< aux(299) it(74) =< aux(299) it(75) =< aux(299) it(76) =< aux(299) it(77) =< aux(299) aux(246) =< aux(293) aux(239) =< aux(301) it(71) =< aux(301) it(72) =< aux(301) it(73) =< aux(301) it(74) =< aux(301) it(75) =< aux(301) it(76) =< aux(301) it(77) =< aux(301) aux(239) =< aux(294) it(71) =< aux(294) it(72) =< aux(294) it(73) =< aux(294) it(74) =< aux(294) it(75) =< aux(294) it(73) =< aux(303) it(77) =< aux(303) aux(256) =< aux(305) it(73) =< aux(305) it(74) =< aux(305) it(75) =< aux(305) it(76) =< aux(305) it(77) =< aux(305) aux(256) =< aux(306) it(73) =< aux(306) it(74) =< aux(306) it(75) =< aux(306) it(76) =< aux(306) it(77) =< aux(306) aux(285) =< aux(307) it(77) =< aux(307) aux(285) =< aux(308) it(77) =< aux(308) aux(261) =< aux(234)*(1/4) aux(267) =< aux(426)*(1/2) aux(244) =< aux(432) aux(270) =< aux(424)*(1/2) aux(251) =< aux(432)*2 aux(279) =< aux(250) aux(249) =< aux(234) aux(240) =< aux(424) aux(243) =< aux(234)*(1/2) aux(241) =< aux(426) s(1000) =< aux(256)*(1/2) s(1119) =< aux(285)*(1/4) s(1113) =< aux(285)*(1/2) s(968) =< aux(246)*(1/4) s(974) =< aux(246)*(1/2) s(941) =< aux(239)*(1/2) s(1019) =< it(72)*aux(250) aux(238) =< it(70)*aux(234) s(953) =< it(70)*aux(432) aux(236) =< it(70)*aux(424) s(942) =< it(70)*aux(426) s(1150) =< it(77)*aux(261) s(1147) =< it(77)*aux(267) s(1144) =< it(77)*aux(244) s(1141) =< it(77)*aux(270) aux(284) =< it(76)*aux(249) s(1125) =< it(76)*aux(267) aux(282) =< it(76)*aux(251) aux(281) =< it(76)*aux(240) s(1131) =< it(76)*aux(279) aux(274) =< it(75)*aux(243) s(1091) =< it(75)*aux(267) s(1085) =< it(75)*aux(244) s(1086) =< it(75)*aux(270) aux(268) =< it(74)*aux(249) s(1061) =< it(74)*aux(267) s(1066) =< it(74)*aux(244) aux(265) =< it(74)*aux(240) s(1048) =< it(73)*aux(261) s(1041) =< it(73)*aux(244) aux(259) =< it(73)*aux(240) s(1035) =< it(73)*aux(241) aux(255) =< it(72)*aux(249) aux(254) =< it(72)*aux(251) aux(253) =< it(72)*aux(240) s(1001) =< it(72)*aux(241) aux(245) =< it(71)*aux(243) s(984) =< it(71)*aux(244) aux(242) =< it(71)*aux(240) s(969) =< it(71)*aux(241) s(952) =< aux(238)*(1/4) s(946) =< aux(236)*(1/2) s(1130) =< aux(284)*(1/4) s(1117) =< aux(282)*(1/2) s(1118) =< aux(281)*(1/2) s(1096) =< aux(274)*(1/2) s(1072) =< aux(268)*(1/4) s(1062) =< aux(265)*(1/2) s(1039) =< aux(259)*(1/2) s(1017) =< aux(255)*(1/4) s(1018) =< aux(254)*(1/2) s(1005) =< aux(253)*(1/2) s(983) =< aux(245)*(1/2) s(973) =< aux(242)*(1/2) s(1136) =< s(1150) s(1025) =< aux(256) s(1134) =< s(1000) s(1133) =< s(1144) s(1149) =< s(1141) s(1149) =< s(1144) s(1148) =< s(1149)*2 s(1138) =< s(1149) s(1138) =< s(1148) s(1146) =< s(1141) s(1133) =< s(1141) s(1146) =< s(1147) s(1133) =< s(1147) s(1145) =< s(1146)*2 s(1135) =< s(1146) s(1135) =< s(1145) s(1139) =< s(1144) s(1140) =< aux(256) s(1140) =< s(1000) s(1139) =< s(1141) s(1121) =< aux(284) s(1100) =< s(1131) s(1122) =< s(1131) s(1097) =< s(1117) s(1101) =< s(1130) s(1111) =< aux(285) s(1102) =< s(1113) s(1098) =< s(1119) s(1128) =< aux(281) s(1121) =< aux(281) s(1100) =< aux(282) s(1128) =< aux(282) s(1102) =< s(1121) s(1100) =< s(1121) s(1127) =< s(1118) s(1127) =< s(1128) s(1126) =< s(1127)*2 s(1103) =< s(1127) s(1103) =< s(1126) s(1124) =< s(1118) s(1097) =< s(1118) s(1124) =< s(1125) s(1097) =< s(1125) s(1123) =< s(1124)*2 s(1099) =< s(1124) s(1099) =< s(1123) s(1122) =< aux(282) s(1104) =< s(1122) s(1104) =< s(1121) s(1111) =< aux(281) s(1108) =< aux(282) s(1108) =< s(1113) s(1109) =< s(1113) s(1109) =< s(1111) s(1108) =< s(1111) s(1105) =< s(1117) s(1106) =< s(1113) s(1106) =< s(1119) s(1116) =< s(1118) s(1105) =< s(1118) s(1116) =< s(1117) s(1115) =< s(1116)*2 s(1107) =< s(1116) s(1107) =< s(1115) s(1112) =< aux(282) s(1112) =< s(1113) s(1110) =< s(1112) s(1110) =< s(1111) s(1074) =< s(1085) s(1077) =< s(1096) s(1075) =< s(968) s(959) =< aux(246) s(959) =< s(974) s(1093) =< s(1086) s(1093) =< aux(274) s(1092) =< s(1093)*2 s(1079) =< s(1093) s(1079) =< s(1092) s(1090) =< s(1086) s(1074) =< s(1086) s(1090) =< s(1091) s(1074) =< s(1091) s(1089) =< s(1090)*2 s(1076) =< s(1090) s(1076) =< s(1089) s(1080) =< s(1085) s(1081) =< s(974) s(1081) =< s(968) s(1084) =< s(1086) s(1080) =< s(1086) s(1084) =< s(1085) s(1083) =< s(1084)*2 s(1082) =< s(1084) s(1082) =< s(1083) s(1058) =< aux(268) s(1049) =< s(1066) s(1052) =< s(1072) s(1053) =< aux(239) s(1050) =< s(941) s(1071) =< aux(265) s(1058) =< aux(265) s(1071) =< s(1062) s(1070) =< s(1062) s(1070) =< s(1071) s(1069) =< s(1070)*2 s(1054) =< s(1070) s(1054) =< s(1069) s(1055) =< s(1066) s(1056) =< aux(239) s(1056) =< s(941) s(1065) =< s(1062) s(1055) =< s(1062) s(1065) =< s(1066) s(1064) =< s(1065)*2 s(1057) =< s(1065) s(1057) =< s(1064) s(1053) =< aux(265) s(1060) =< s(1062) s(1049) =< s(1062) s(1060) =< s(1061) s(1049) =< s(1061) s(1059) =< s(1060)*2 s(1051) =< s(1060) s(1051) =< s(1059) s(1024) =< s(1048) s(1022) =< s(1000) s(1045) =< aux(259) s(1022) =< aux(259) s(1045) =< s(1039) s(1021) =< s(1041) s(1047) =< s(1039) s(1047) =< s(1041) s(1046) =< s(1047)*2 s(1026) =< s(1047) s(1026) =< s(1046) s(1044) =< s(1039) s(1021) =< s(1039) s(1044) =< s(1045) s(1021) =< s(1045) s(1043) =< s(1044)*2 s(1023) =< s(1044) s(1023) =< s(1043) s(1038) =< aux(259) s(1032) =< aux(259) s(1028) =< s(1035) s(1038) =< s(1035) s(1027) =< s(1041) s(1032) =< aux(256) s(1028) =< s(1000) s(1029) =< s(1000) s(1029) =< s(1032) s(1028) =< s(1032) s(1037) =< s(1039) s(1027) =< s(1039) s(1037) =< s(1038) s(1027) =< s(1038) s(1036) =< s(1037)*2 s(1030) =< s(1037) s(1030) =< s(1036) s(1033) =< s(1035) s(1033) =< s(1000) s(1031) =< s(1033) s(1031) =< s(1032) s(1008) =< aux(255) s(988) =< s(1019) s(1009) =< s(1019) s(985) =< s(1018) s(993) =< s(1018) s(989) =< s(1017) s(990) =< aux(256) s(986) =< s(1000) s(1013) =< aux(253) s(986) =< aux(253) s(1016) =< aux(253) s(1008) =< aux(253) s(988) =< aux(254) s(1016) =< aux(254) s(1013) =< s(1005) s(990) =< s(1008) s(988) =< s(1008) s(1015) =< s(1005) s(1015) =< s(1016) s(1014) =< s(1015)*2 s(991) =< s(1015) s(991) =< s(1014) s(1012) =< s(1005) s(985) =< s(1005) s(1012) =< s(1013) s(985) =< s(1013) s(1011) =< s(1012)*2 s(987) =< s(1012) s(987) =< s(1011) s(1009) =< aux(254) s(992) =< s(1009) s(992) =< s(1008) s(1004) =< aux(253) s(998) =< aux(253) s(994) =< s(1001) s(1004) =< s(1001) s(998) =< aux(256) s(994) =< s(1000) s(995) =< s(1000) s(995) =< s(998) s(994) =< s(998) s(1003) =< s(1005) s(993) =< s(1005) s(1003) =< s(1004) s(993) =< s(1004) s(1002) =< s(1003)*2 s(996) =< s(1003) s(996) =< s(1002) s(999) =< s(1001) s(999) =< s(1000) s(997) =< s(999) s(997) =< s(998) s(955) =< s(984) s(961) =< s(984) s(958) =< s(983) s(956) =< s(968) s(978) =< aux(242) s(956) =< aux(242) s(978) =< s(973) s(980) =< s(973) s(980) =< aux(245) s(979) =< s(980)*2 s(960) =< s(980) s(960) =< s(979) s(977) =< s(973) s(955) =< s(973) s(977) =< s(978) s(955) =< s(978) s(976) =< s(977)*2 s(957) =< s(977) s(957) =< s(976) s(972) =< aux(242) s(966) =< aux(242) s(962) =< s(969) s(972) =< s(969) s(966) =< s(974) s(962) =< s(968) s(963) =< s(968) s(963) =< s(966) s(962) =< s(966) s(971) =< s(973) s(961) =< s(973) s(971) =< s(972) s(961) =< s(972) s(970) =< s(971)*2 s(964) =< s(971) s(964) =< s(970) s(967) =< s(969) s(967) =< s(968) s(965) =< s(967) s(965) =< s(966) s(933) =< aux(238) s(929) =< s(953) s(934) =< s(953) s(932) =< s(952) s(939) =< aux(239) s(930) =< s(941) s(948) =< aux(236) s(930) =< aux(236) s(933) =< aux(236) s(948) =< s(946) s(950) =< s(946) s(950) =< s(948) s(949) =< s(950)*2 s(931) =< s(950) s(931) =< s(949) s(929) =< s(946) s(929) =< s(948) s(945) =< aux(236) s(939) =< aux(236) s(935) =< s(942) s(945) =< s(942) s(935) =< s(941) s(936) =< s(941) s(936) =< s(939) s(935) =< s(939) s(944) =< s(946) s(934) =< s(946) s(944) =< s(945) s(934) =< s(945) s(943) =< s(944)*2 s(937) =< s(944) s(937) =< s(943) s(940) =< s(942) s(940) =< s(941) s(938) =< s(940) s(938) =< s(939) with precondition: [B=10,C=1,V_p_0>=1,V_n>=12*V_p_0+1] * Chain [87]: 6*s(79)+0 Such that:aux(41) =< V_p_0 aux(42) =< 2*V_p_0 s(79) =< aux(42) s(79) =< aux(41) with precondition: [B=10,C=0,2*V_p_0=V_n,V_p_0>=1] * Chain [86]: 1*s(1399)+0 Such that:s(1399) =< 1 with precondition: [V_n=1,V_p_0=1,B=10,C=0] * Chain [85]: 0 with precondition: [V_p_0=1,B=10,C=0,0>=V_n] * Chain [82]: 2*s(1160)+2*s(1162)+12*s(1165)+18*s(1168)+16*s(1183)+24*s(1187)+0 Such that:aux(335) =< V_p_0 aux(336) =< 2*V_p_0 aux(337) =< 4*V_p_0 aux(338) =< 3/2*V_p_0 s(1160) =< aux(335) s(1162) =< aux(335) s(1168) =< aux(337) s(1168) =< aux(336) s(1163) =< aux(336) s(1160) =< aux(336) s(1163) =< aux(338) s(1160) =< aux(338) s(1164) =< s(1163)*2 s(1165) =< s(1163) s(1165) =< s(1164) s(1183) =< aux(335) s(1183) =< aux(336) s(1185) =< aux(336) s(1185) =< aux(335) s(1186) =< s(1185)*2 s(1187) =< s(1185) s(1187) =< s(1186) with precondition: [B=10,C=1,4*V_p_0=V_n,V_p_0>=1] * Chain [79]: 2*s(1322)+2*s(1324)+12*s(1327)+3*s(1328)+3*s(1331)+0 Such that:aux(390) =< V_n aux(391) =< V_n-2*V_p_0 aux(392) =< V_n/2 aux(393) =< V_n/2-V_p_0 aux(394) =< V_n/2-V_p_0/2 aux(395) =< V_p_0 aux(396) =< 2*V_p_0 s(1328) =< aux(391) s(1322) =< aux(393) s(1324) =< aux(395) s(1331) =< aux(396) s(1331) =< aux(390) s(1328) =< aux(390) s(1325) =< aux(392) s(1322) =< aux(392) s(1325) =< aux(394) s(1322) =< aux(394) s(1326) =< s(1325)*2 s(1327) =< s(1325) s(1327) =< s(1326) with precondition: [B=10,C=1,V_n>=3*V_p_0,4*V_p_0>=V_n+1] #### Cost of chains of eval_sipmamergesort2_bb26_in(V_n,V_i_8,B): * Chain [[88],89]: 1*it(88)+0 Such that:it(88) =< V_n-V_i_8+1 with precondition: [B=11,V_i_8>=1,V_n>=V_i_8] * Chain [89]: 0 with precondition: [B=11,V_i_8>=1,V_i_8>=V_n+1] #### Cost of chains of eval_sipmamergesort2_bb25_in(V_n,V_up_0,B): * Chain [93]: 0 with precondition: [V_up_0=0,0>=V_n] * Chain [92]: 1*s(1920)+0 Such that:s(1920) =< V_n with precondition: [V_up_0=0,V_n>=1] * Chain [91]: 0 with precondition: [0>=V_up_0+1] * Chain [90]: 0 with precondition: [V_up_0>=1] #### Cost of chains of eval_sipmamergesort2_bb0_in(V_n,B): * Chain [104]: 2*s(1921)+0 Such that:aux(452) =< 1 s(1921) =< aux(452) with precondition: [V_n=1] * Chain [103]: 6*s(1925)+1*s(1926)+0 Such that:s(1923) =< 1 aux(453) =< 2 s(1926) =< aux(453) s(1925) =< aux(453) s(1925) =< s(1923) with precondition: [V_n=2] * Chain [102]: 3*s(1934)+2*s(1935)+2*s(1936)+3*s(1937)+12*s(1940)+0 Such that:s(1933) =< 2 s(1927) =< 3 s(1930) =< 1/2 s(1929) =< 3/2 aux(454) =< 1 s(1934) =< aux(454) s(1935) =< s(1930) s(1936) =< aux(454) s(1937) =< s(1933) s(1937) =< s(1927) s(1934) =< s(1927) s(1938) =< s(1929) s(1935) =< s(1929) s(1938) =< aux(454) s(1935) =< aux(454) s(1939) =< s(1938)*2 s(1940) =< s(1938) s(1940) =< s(1939) with precondition: [V_n=3] * Chain [101]: 2*s(1945)+2*s(1946)+18*s(1947)+12*s(1950)+16*s(1951)+24*s(1954)+0 Such that:s(1941) =< 1 s(1942) =< 2 s(1943) =< 4 s(1944) =< 3/2 s(1945) =< s(1941) s(1946) =< s(1941) s(1947) =< s(1943) s(1947) =< s(1942) s(1948) =< s(1942) s(1945) =< s(1942) s(1948) =< s(1944) s(1945) =< s(1944) s(1949) =< s(1948)*2 s(1950) =< s(1948) s(1950) =< s(1949) s(1951) =< s(1941) s(1951) =< s(1942) s(1952) =< s(1942) s(1952) =< s(1941) s(1953) =< s(1952)*2 s(1954) =< s(1952) s(1954) =< s(1953) with precondition: [V_n=4] * Chain [100]: 0 with precondition: [0>=V_n] * Chain [99]: 1*s(1960)+1*s(1962)+1*s(1963)+7*s(1979)+1*s(1981)+1*s(1982)+1*s(1983)+1*s(1984)+1*s(1985)+3*s(2054)+6*s(2055)+1*s(2056)+3*s(2057)+30*s(2060)+6*s(2063)+6*s(2065)+1*s(2067)+2*s(2069)+6*s(2070)+3*s(2072)+2*s(2073)+36*s(2077)+12*s(2080)+2*s(2081)+2*s(2082)+6*s(2083)+4*s(2084)+12*s(2085)+24*s(2088)+4*s(2090)+6*s(2091)+6*s(2092)+2*s(2093)+36*s(2094)+48*s(2097)+12*s(2102)+24*s(2105)+2*s(2106)+1*s(2107)+3*s(2108)+1*s(2109)+1*s(2110)+18*s(2114)+2*s(2115)+6*s(2116)+12*s(2119)+6*s(2122)+3*s(2123)+1*s(2124)+1*s(2126)+18*s(2129)+6*s(2132)+1*s(2135)+2*s(2136)+3*s(2137)+12*s(2140)+2*s(2142)+3*s(2144)+2*s(2146)+4*s(2147)+6*s(2148)+9*s(2149)+2*s(2150)+36*s(2155)+12*s(2158)+6*s(2159)+2*s(2162)+6*s(2163)+24*s(2166)+4*s(2168)+2*s(2169)+4*s(2170)+6*s(2171)+2*s(2172)+36*s(2176)+12*s(2179)+2*s(2182)+6*s(2183)+24*s(2186)+4*s(2188)+3*s(2189)+1*s(2190)+2*s(2191)+3*s(2192)+1*s(2194)+24*s(2198)+1*s(2200)+3*s(2201)+12*s(2204)+2*s(2206)+0 Such that:s(1970) =< 2*V_n s(1971) =< 4*V_n s(1957) =< V_n/2 s(1972) =< V_n/3 s(1960) =< V_n/9 s(1961) =< V_n/12 s(1962) =< V_n/18 s(1963) =< V_n/24 s(1965) =< 2/9*V_n s(1974) =< 4/3*V_n s(1966) =< 4/9*V_n s(1967) =< 8/9*V_n aux(455) =< V_n aux(456) =< V_n/6 aux(457) =< 2/3*V_n s(1979) =< aux(455) s(1959) =< aux(456) s(1976) =< aux(455) s(1959) =< aux(455) s(1977) =< s(1970) s(1978) =< s(1971) s(1976) =< s(1972) s(1977) =< aux(457) s(1978) =< s(1974) s(1981) =< aux(456) s(1982) =< aux(456) s(1981) =< s(1978) s(1962) =< s(1978) s(1983) =< s(1978) s(1984) =< s(1978) s(1982) =< s(1978) s(1960) =< s(1978) s(1985) =< s(1978) s(1960) =< s(1977) s(1985) =< s(1977) s(1963) =< s(1961) s(1981) =< s(1961) s(1962) =< s(1961) s(1983) =< s(1961) s(1984) =< s(1961) s(1982) =< s(1961) s(1960) =< s(1961) s(1985) =< s(1961) s(1963) =< s(1976) s(1981) =< s(1976) s(1962) =< s(1976) s(1983) =< s(1976) s(1984) =< s(1976) s(1982) =< s(1976) s(1960) =< s(1976) s(1985) =< s(1976) s(1963) =< s(1959) s(1981) =< s(1959) s(1962) =< s(1959) s(1983) =< s(1959) s(1986) =< aux(457) s(1962) =< aux(457) s(1983) =< aux(457) s(1984) =< aux(457) s(1982) =< aux(457) s(1960) =< aux(457) s(1985) =< aux(457) s(1986) =< s(1978) s(1987) =< aux(457) s(1981) =< aux(457) s(1987) =< s(1977) s(1981) =< s(1977) s(1962) =< s(1977) s(1983) =< s(1977) s(1984) =< s(1977) s(1982) =< s(1977) s(1983) =< s(1965) s(1985) =< s(1965) s(1988) =< s(1966) s(1983) =< s(1966) s(1984) =< s(1966) s(1982) =< s(1966) s(1960) =< s(1966) s(1985) =< s(1966) s(1988) =< s(1977) s(1989) =< s(1967) s(1985) =< s(1967) s(1989) =< s(1978) s(1990) =< aux(455)*(1/4) s(1991) =< aux(455)*(1/2) s(1992) =< s(1957) s(1994) =< s(1957)*2 s(1995) =< aux(455) s(2000) =< s(1988)*(1/2) s(2001) =< s(1989)*(1/4) s(2002) =< s(1989)*(1/2) s(2003) =< s(1986)*(1/4) s(2004) =< s(1986)*(1/2) s(2005) =< s(1987)*(1/2) s(2006) =< s(1962)*aux(455) s(2007) =< s(1963)*aux(455) s(2008) =< s(1963)*s(1957) s(2011) =< s(1985)*s(1990) s(2012) =< s(1985)*s(1991) s(2013) =< s(1985)*s(1992) s(2015) =< s(1960)*s(1995) s(2016) =< s(1960)*s(1991) s(2017) =< s(1960)*s(1994) s(2020) =< s(1982)*s(1991) s(2022) =< s(1982)*s(1992) s(2024) =< s(1984)*s(1995) s(2025) =< s(1984)*s(1991) s(2026) =< s(1984)*s(1992) s(2028) =< s(1983)*s(1990) s(2029) =< s(1983)*s(1992) s(2030) =< s(1983)*s(1995) s(2032) =< s(1962)*s(1995) s(2033) =< s(1962)*s(1994) s(2036) =< s(1981)*s(1991) s(2037) =< s(1981)*s(1992) s(2038) =< s(1981)*s(1995) s(2040) =< s(2007)*(1/4) s(2041) =< s(2007)*(1/2) s(2042) =< s(2015)*(1/4) s(2043) =< s(2017)*(1/2) s(2044) =< s(2015)*(1/2) s(2045) =< s(2020)*(1/2) s(2046) =< s(2024)*(1/4) s(2047) =< s(2024)*(1/2) s(2048) =< s(2030)*(1/2) s(2049) =< s(2032)*(1/4) s(2050) =< s(2033)*(1/2) s(2051) =< s(2032)*(1/2) s(2052) =< s(2036)*(1/2) s(2053) =< s(2038)*(1/2) s(2054) =< s(2011) s(2055) =< s(1988) s(2056) =< s(2000) s(2057) =< s(2013) s(2058) =< s(2012) s(2058) =< s(2013) s(2059) =< s(2058)*2 s(2060) =< s(2058) s(2060) =< s(2059) s(2057) =< s(2012) s(2062) =< s(2012)*2 s(2063) =< s(2012) s(2063) =< s(2062) s(2065) =< s(1988) s(2065) =< s(2000) s(2067) =< s(2015) s(2068) =< s(2015) s(2069) =< s(2043) s(2070) =< s(2042) s(2071) =< s(1989) s(2072) =< s(2002) s(2073) =< s(2001) s(2067) =< s(2017) s(2068) =< s(2017) s(2072) =< s(2015) s(2075) =< s(2044) s(2075) =< s(2068) s(2076) =< s(2075)*2 s(2077) =< s(2075) s(2077) =< s(2076) s(2078) =< s(2044) s(2069) =< s(2044) s(2078) =< s(2016) s(2069) =< s(2016) s(2079) =< s(2078)*2 s(2080) =< s(2078) s(2080) =< s(2079) s(2081) =< s(2068) s(2081) =< s(2015) s(2071) =< s(2015) s(2082) =< s(2017) s(2082) =< s(2002) s(2083) =< s(2002) s(2083) =< s(2071) s(2082) =< s(2071) s(2084) =< s(2043) s(2085) =< s(2002) s(2085) =< s(2001) s(2086) =< s(2044) s(2084) =< s(2044) s(2086) =< s(2043) s(2087) =< s(2086)*2 s(2088) =< s(2086) s(2088) =< s(2087) s(2089) =< s(2017) s(2089) =< s(2002) s(2090) =< s(2089) s(2090) =< s(2071) s(2091) =< s(2022) s(2092) =< s(2045) s(2093) =< s(2003) s(2094) =< s(1986) s(2094) =< s(2004) s(2096) =< s(2020)*2 s(2097) =< s(2020) s(2097) =< s(2096) s(2091) =< s(2020) s(2102) =< s(2004) s(2102) =< s(2003) s(2103) =< s(2020) s(2103) =< s(2022) s(2104) =< s(2103)*2 s(2105) =< s(2103) s(2105) =< s(2104) s(2106) =< s(2024) s(2107) =< s(2026) s(2108) =< s(2046) s(2109) =< s(1987) s(2110) =< s(2005) s(2111) =< s(2024) s(2111) =< s(2047) s(2112) =< s(2047) s(2112) =< s(2111) s(2113) =< s(2112)*2 s(2114) =< s(2112) s(2114) =< s(2113) s(2115) =< s(2026) s(2116) =< s(1987) s(2116) =< s(2005) s(2117) =< s(2047) s(2115) =< s(2047) s(2117) =< s(2026) s(2118) =< s(2117)*2 s(2119) =< s(2117) s(2119) =< s(2118) s(2109) =< s(2024) s(2120) =< s(2047) s(2107) =< s(2047) s(2120) =< s(2025) s(2107) =< s(2025) s(2121) =< s(2120)*2 s(2122) =< s(2120) s(2122) =< s(2121) s(2123) =< s(2028) s(2124) =< s(2000) s(2125) =< s(2030) s(2124) =< s(2030) s(2125) =< s(2048) s(2126) =< s(2029) s(2127) =< s(2048) s(2127) =< s(2029) s(2128) =< s(2127)*2 s(2129) =< s(2127) s(2129) =< s(2128) s(2130) =< s(2048) s(2126) =< s(2048) s(2130) =< s(2125) s(2126) =< s(2125) s(2131) =< s(2130)*2 s(2132) =< s(2130) s(2132) =< s(2131) s(2134) =< s(2030) s(2135) =< s(2030) s(2136) =< s(2029) s(2134) =< s(1988) s(2135) =< s(2000) s(2137) =< s(2000) s(2137) =< s(2134) s(2135) =< s(2134) s(2136) =< s(2048) s(2136) =< s(2030) s(2139) =< s(2125)*2 s(2140) =< s(2125) s(2140) =< s(2139) s(2141) =< s(2030) s(2141) =< s(2000) s(2142) =< s(2141) s(2142) =< s(2134) s(2144) =< s(2006) s(2145) =< s(2006) s(2146) =< s(2050) s(2147) =< s(2050) s(2148) =< s(2049) s(2149) =< s(1988) s(2150) =< s(2000) s(2151) =< s(2032) s(2150) =< s(2032) s(2152) =< s(2032) s(2144) =< s(2033) s(2152) =< s(2033) s(2151) =< s(2051) s(2149) =< s(2032) s(2144) =< s(2032) s(2153) =< s(2051) s(2153) =< s(2152) s(2154) =< s(2153)*2 s(2155) =< s(2153) s(2155) =< s(2154) s(2156) =< s(2051) s(2146) =< s(2051) s(2156) =< s(2151) s(2146) =< s(2151) s(2157) =< s(2156)*2 s(2158) =< s(2156) s(2158) =< s(2157) s(2145) =< s(2033) s(2159) =< s(2145) s(2159) =< s(2032) s(2161) =< s(2032) s(2162) =< s(2032) s(2161) =< s(1988) s(2162) =< s(2000) s(2163) =< s(2000) s(2163) =< s(2161) s(2162) =< s(2161) s(2147) =< s(2051) s(2147) =< s(2032) s(2165) =< s(2151)*2 s(2166) =< s(2151) s(2166) =< s(2165) s(2167) =< s(2032) s(2167) =< s(2000) s(2168) =< s(2167) s(2168) =< s(2161) s(2169) =< s(2037) s(2170) =< s(2037) s(2171) =< s(2052) s(2172) =< s(2003) s(2173) =< s(2038) s(2172) =< s(2038) s(2173) =< s(2053) s(2174) =< s(2053) s(2174) =< s(2036) s(2175) =< s(2174)*2 s(2176) =< s(2174) s(2176) =< s(2175) s(2177) =< s(2053) s(2169) =< s(2053) s(2177) =< s(2173) s(2169) =< s(2173) s(2178) =< s(2177)*2 s(2179) =< s(2177) s(2179) =< s(2178) s(2181) =< s(2038) s(2182) =< s(2038) s(2181) =< s(2004) s(2182) =< s(2003) s(2183) =< s(2003) s(2183) =< s(2181) s(2182) =< s(2181) s(2170) =< s(2053) s(2170) =< s(2038) s(2185) =< s(2173)*2 s(2186) =< s(2173) s(2186) =< s(2185) s(2187) =< s(2038) s(2187) =< s(2003) s(2188) =< s(2187) s(2188) =< s(2181) s(2189) =< s(2007) s(2190) =< s(2008) s(2191) =< s(2008) s(2192) =< s(2040) s(2193) =< s(1987) s(2194) =< s(2005) s(2195) =< s(2007) s(2194) =< s(2007) s(2195) =< s(2041) s(2196) =< s(2041) s(2196) =< s(2195) s(2197) =< s(2196)*2 s(2198) =< s(2196) s(2198) =< s(2197) s(2190) =< s(2041) s(2190) =< s(2195) s(2193) =< s(2007) s(2200) =< s(2007) s(2200) =< s(2005) s(2201) =< s(2005) s(2201) =< s(2193) s(2200) =< s(2193) s(2191) =< s(2041) s(2191) =< s(2007) s(2203) =< s(2195)*2 s(2204) =< s(2195) s(2204) =< s(2203) s(2205) =< s(2007) s(2205) =< s(2005) s(2206) =< s(2205) s(2206) =< s(2193) with precondition: [V_n>=5] * Chain [98]: 1*s(2214)+1*s(2217)+1*s(2218)+6*s(2227)+1*s(2228)+2*s(2229)+1*s(2230)+1*s(2232)+3*s(2300)+6*s(2301)+1*s(2302)+3*s(2303)+30*s(2306)+6*s(2309)+6*s(2311)+1*s(2313)+2*s(2315)+6*s(2316)+3*s(2318)+2*s(2319)+36*s(2323)+12*s(2326)+2*s(2327)+2*s(2328)+6*s(2329)+4*s(2330)+12*s(2331)+24*s(2334)+4*s(2336)+6*s(2337)+6*s(2338)+2*s(2339)+36*s(2340)+48*s(2343)+12*s(2348)+24*s(2351)+2*s(2352)+1*s(2353)+3*s(2354)+1*s(2355)+1*s(2356)+18*s(2360)+2*s(2361)+6*s(2362)+12*s(2365)+6*s(2368)+3*s(2369)+1*s(2370)+1*s(2372)+18*s(2375)+6*s(2378)+1*s(2381)+2*s(2382)+3*s(2383)+12*s(2386)+2*s(2388)+3*s(2390)+2*s(2392)+4*s(2393)+6*s(2394)+9*s(2395)+2*s(2396)+36*s(2401)+12*s(2404)+6*s(2405)+2*s(2408)+6*s(2409)+24*s(2412)+4*s(2414)+2*s(2415)+4*s(2416)+6*s(2417)+2*s(2418)+36*s(2422)+12*s(2425)+2*s(2428)+6*s(2429)+24*s(2432)+4*s(2434)+3*s(2435)+1*s(2436)+2*s(2437)+3*s(2438)+1*s(2440)+24*s(2444)+1*s(2446)+3*s(2447)+12*s(2450)+2*s(2452)+1*s(2453)+0 Such that:s(2224) =< V_n/3 s(2214) =< V_n/9 s(2217) =< V_n/18 s(2218) =< V_n/24 s(2220) =< 2/9*V_n s(2221) =< 4/9*V_n s(2222) =< 8/9*V_n aux(458) =< V_n aux(459) =< V_n/2 aux(460) =< V_n/6 aux(461) =< V_n/12 aux(462) =< 2/3*V_n s(2453) =< aux(458) s(2227) =< aux(458) s(2227) =< aux(459) s(2228) =< aux(460) s(2229) =< aux(460) s(2228) =< aux(462) s(2217) =< aux(462) s(2230) =< aux(462) s(2229) =< aux(462) s(2214) =< aux(462) s(2232) =< aux(462) s(2214) =< s(2224) s(2232) =< s(2224) s(2218) =< aux(461) s(2228) =< aux(461) s(2217) =< aux(461) s(2230) =< aux(461) s(2229) =< aux(461) s(2214) =< aux(461) s(2232) =< aux(461) s(2218) =< aux(460) s(2217) =< aux(460) s(2230) =< aux(460) s(2214) =< aux(460) s(2232) =< aux(460) s(2233) =< aux(462) s(2233) =< s(2224) s(2228) =< s(2224) s(2217) =< s(2224) s(2230) =< s(2224) s(2229) =< s(2224) s(2230) =< s(2220) s(2232) =< s(2220) s(2234) =< s(2221) s(2230) =< s(2221) s(2229) =< s(2221) s(2214) =< s(2221) s(2232) =< s(2221) s(2234) =< s(2224) s(2235) =< s(2222) s(2232) =< s(2222) s(2235) =< aux(462) s(2236) =< aux(458)*(1/4) s(2237) =< aux(458)*(1/2) s(2238) =< aux(459) s(2240) =< aux(459)*2 s(2241) =< aux(458) s(2246) =< s(2234)*(1/2) s(2247) =< s(2235)*(1/4) s(2248) =< s(2235)*(1/2) s(2249) =< aux(462)*(1/4) s(2250) =< aux(462)*(1/2) s(2251) =< s(2233)*(1/2) s(2252) =< s(2217)*aux(458) s(2253) =< s(2218)*aux(458) s(2254) =< s(2218)*aux(459) s(2257) =< s(2232)*s(2236) s(2258) =< s(2232)*s(2237) s(2259) =< s(2232)*s(2238) s(2261) =< s(2214)*s(2241) s(2262) =< s(2214)*s(2237) s(2263) =< s(2214)*s(2240) s(2266) =< s(2229)*s(2237) s(2268) =< s(2229)*s(2238) s(2270) =< s(2229)*s(2241) s(2274) =< s(2230)*s(2236) s(2275) =< s(2230)*s(2238) s(2276) =< s(2230)*s(2241) s(2278) =< s(2217)*s(2241) s(2279) =< s(2217)*s(2240) s(2282) =< s(2228)*s(2237) s(2283) =< s(2228)*s(2238) s(2284) =< s(2228)*s(2241) s(2286) =< s(2253)*(1/4) s(2287) =< s(2253)*(1/2) s(2288) =< s(2261)*(1/4) s(2289) =< s(2263)*(1/2) s(2290) =< s(2261)*(1/2) s(2291) =< s(2266)*(1/2) s(2292) =< s(2270)*(1/4) s(2293) =< s(2270)*(1/2) s(2294) =< s(2276)*(1/2) s(2295) =< s(2278)*(1/4) s(2296) =< s(2279)*(1/2) s(2297) =< s(2278)*(1/2) s(2298) =< s(2282)*(1/2) s(2299) =< s(2284)*(1/2) s(2300) =< s(2257) s(2301) =< s(2234) s(2302) =< s(2246) s(2303) =< s(2259) s(2304) =< s(2258) s(2304) =< s(2259) s(2305) =< s(2304)*2 s(2306) =< s(2304) s(2306) =< s(2305) s(2303) =< s(2258) s(2308) =< s(2258)*2 s(2309) =< s(2258) s(2309) =< s(2308) s(2311) =< s(2234) s(2311) =< s(2246) s(2313) =< s(2261) s(2314) =< s(2261) s(2315) =< s(2289) s(2316) =< s(2288) s(2317) =< s(2235) s(2318) =< s(2248) s(2319) =< s(2247) s(2313) =< s(2263) s(2314) =< s(2263) s(2318) =< s(2261) s(2321) =< s(2290) s(2321) =< s(2314) s(2322) =< s(2321)*2 s(2323) =< s(2321) s(2323) =< s(2322) s(2324) =< s(2290) s(2315) =< s(2290) s(2324) =< s(2262) s(2315) =< s(2262) s(2325) =< s(2324)*2 s(2326) =< s(2324) s(2326) =< s(2325) s(2327) =< s(2314) s(2327) =< s(2261) s(2317) =< s(2261) s(2328) =< s(2263) s(2328) =< s(2248) s(2329) =< s(2248) s(2329) =< s(2317) s(2328) =< s(2317) s(2330) =< s(2289) s(2331) =< s(2248) s(2331) =< s(2247) s(2332) =< s(2290) s(2330) =< s(2290) s(2332) =< s(2289) s(2333) =< s(2332)*2 s(2334) =< s(2332) s(2334) =< s(2333) s(2335) =< s(2263) s(2335) =< s(2248) s(2336) =< s(2335) s(2336) =< s(2317) s(2337) =< s(2268) s(2338) =< s(2291) s(2339) =< s(2249) s(2340) =< aux(462) s(2340) =< s(2250) s(2342) =< s(2266)*2 s(2343) =< s(2266) s(2343) =< s(2342) s(2337) =< s(2266) s(2348) =< s(2250) s(2348) =< s(2249) s(2349) =< s(2266) s(2349) =< s(2268) s(2350) =< s(2349)*2 s(2351) =< s(2349) s(2351) =< s(2350) s(2352) =< s(2270) s(2353) =< s(2268) s(2354) =< s(2292) s(2355) =< s(2233) s(2356) =< s(2251) s(2357) =< s(2270) s(2357) =< s(2293) s(2358) =< s(2293) s(2358) =< s(2357) s(2359) =< s(2358)*2 s(2360) =< s(2358) s(2360) =< s(2359) s(2361) =< s(2268) s(2362) =< s(2233) s(2362) =< s(2251) s(2363) =< s(2293) s(2361) =< s(2293) s(2363) =< s(2268) s(2364) =< s(2363)*2 s(2365) =< s(2363) s(2365) =< s(2364) s(2355) =< s(2270) s(2366) =< s(2293) s(2353) =< s(2293) s(2366) =< s(2266) s(2353) =< s(2266) s(2367) =< s(2366)*2 s(2368) =< s(2366) s(2368) =< s(2367) s(2369) =< s(2274) s(2370) =< s(2246) s(2371) =< s(2276) s(2370) =< s(2276) s(2371) =< s(2294) s(2372) =< s(2275) s(2373) =< s(2294) s(2373) =< s(2275) s(2374) =< s(2373)*2 s(2375) =< s(2373) s(2375) =< s(2374) s(2376) =< s(2294) s(2372) =< s(2294) s(2376) =< s(2371) s(2372) =< s(2371) s(2377) =< s(2376)*2 s(2378) =< s(2376) s(2378) =< s(2377) s(2380) =< s(2276) s(2381) =< s(2276) s(2382) =< s(2275) s(2380) =< s(2234) s(2381) =< s(2246) s(2383) =< s(2246) s(2383) =< s(2380) s(2381) =< s(2380) s(2382) =< s(2294) s(2382) =< s(2276) s(2385) =< s(2371)*2 s(2386) =< s(2371) s(2386) =< s(2385) s(2387) =< s(2276) s(2387) =< s(2246) s(2388) =< s(2387) s(2388) =< s(2380) s(2390) =< s(2252) s(2391) =< s(2252) s(2392) =< s(2296) s(2393) =< s(2296) s(2394) =< s(2295) s(2395) =< s(2234) s(2396) =< s(2246) s(2397) =< s(2278) s(2396) =< s(2278) s(2398) =< s(2278) s(2390) =< s(2279) s(2398) =< s(2279) s(2397) =< s(2297) s(2395) =< s(2278) s(2390) =< s(2278) s(2399) =< s(2297) s(2399) =< s(2398) s(2400) =< s(2399)*2 s(2401) =< s(2399) s(2401) =< s(2400) s(2402) =< s(2297) s(2392) =< s(2297) s(2402) =< s(2397) s(2392) =< s(2397) s(2403) =< s(2402)*2 s(2404) =< s(2402) s(2404) =< s(2403) s(2391) =< s(2279) s(2405) =< s(2391) s(2405) =< s(2278) s(2407) =< s(2278) s(2408) =< s(2278) s(2407) =< s(2234) s(2408) =< s(2246) s(2409) =< s(2246) s(2409) =< s(2407) s(2408) =< s(2407) s(2393) =< s(2297) s(2393) =< s(2278) s(2411) =< s(2397)*2 s(2412) =< s(2397) s(2412) =< s(2411) s(2413) =< s(2278) s(2413) =< s(2246) s(2414) =< s(2413) s(2414) =< s(2407) s(2415) =< s(2283) s(2416) =< s(2283) s(2417) =< s(2298) s(2418) =< s(2249) s(2419) =< s(2284) s(2418) =< s(2284) s(2419) =< s(2299) s(2420) =< s(2299) s(2420) =< s(2282) s(2421) =< s(2420)*2 s(2422) =< s(2420) s(2422) =< s(2421) s(2423) =< s(2299) s(2415) =< s(2299) s(2423) =< s(2419) s(2415) =< s(2419) s(2424) =< s(2423)*2 s(2425) =< s(2423) s(2425) =< s(2424) s(2427) =< s(2284) s(2428) =< s(2284) s(2427) =< s(2250) s(2428) =< s(2249) s(2429) =< s(2249) s(2429) =< s(2427) s(2428) =< s(2427) s(2416) =< s(2299) s(2416) =< s(2284) s(2431) =< s(2419)*2 s(2432) =< s(2419) s(2432) =< s(2431) s(2433) =< s(2284) s(2433) =< s(2249) s(2434) =< s(2433) s(2434) =< s(2427) s(2435) =< s(2253) s(2436) =< s(2254) s(2437) =< s(2254) s(2438) =< s(2286) s(2439) =< s(2233) s(2440) =< s(2251) s(2441) =< s(2253) s(2440) =< s(2253) s(2441) =< s(2287) s(2442) =< s(2287) s(2442) =< s(2441) s(2443) =< s(2442)*2 s(2444) =< s(2442) s(2444) =< s(2443) s(2436) =< s(2287) s(2436) =< s(2441) s(2439) =< s(2253) s(2446) =< s(2253) s(2446) =< s(2251) s(2447) =< s(2251) s(2447) =< s(2439) s(2446) =< s(2439) s(2437) =< s(2287) s(2437) =< s(2253) s(2449) =< s(2441)*2 s(2450) =< s(2441) s(2450) =< s(2449) s(2451) =< s(2253) s(2451) =< s(2251) s(2452) =< s(2451) s(2452) =< s(2439) with precondition: [V_n>=8] * Chain [97]: 1*s(2458)+1*s(2460)+1*s(2461)+6*s(2474)+2*s(2475)+2*s(2476)+12*s(2481)+1*s(2482)+1*s(2483)+1*s(2484)+1*s(2485)+1*s(2486)+3*s(2555)+6*s(2556)+1*s(2557)+3*s(2558)+30*s(2561)+6*s(2564)+6*s(2566)+1*s(2568)+2*s(2570)+6*s(2571)+3*s(2573)+2*s(2574)+36*s(2578)+12*s(2581)+2*s(2582)+2*s(2583)+6*s(2584)+4*s(2585)+12*s(2586)+24*s(2589)+4*s(2591)+6*s(2592)+6*s(2593)+2*s(2594)+36*s(2595)+48*s(2598)+12*s(2603)+24*s(2606)+2*s(2607)+1*s(2608)+3*s(2609)+1*s(2610)+1*s(2611)+18*s(2615)+2*s(2616)+6*s(2617)+12*s(2620)+6*s(2623)+3*s(2624)+1*s(2625)+1*s(2627)+18*s(2630)+6*s(2633)+1*s(2636)+2*s(2637)+3*s(2638)+12*s(2641)+2*s(2643)+3*s(2645)+2*s(2647)+4*s(2648)+6*s(2649)+9*s(2650)+2*s(2651)+36*s(2656)+12*s(2659)+6*s(2660)+2*s(2663)+6*s(2664)+24*s(2667)+4*s(2669)+2*s(2670)+4*s(2671)+6*s(2672)+2*s(2673)+36*s(2677)+12*s(2680)+2*s(2683)+6*s(2684)+24*s(2687)+4*s(2689)+3*s(2690)+1*s(2691)+2*s(2692)+3*s(2693)+1*s(2695)+24*s(2699)+1*s(2701)+3*s(2702)+12*s(2705)+2*s(2707)+0 Such that:s(2469) =< 2*V_n s(2457) =< V_n/6 s(2458) =< V_n/9 s(2459) =< V_n/12 s(2460) =< V_n/18 s(2461) =< V_n/24 s(2464) =< 2/9*V_n s(2465) =< 4/9*V_n s(2466) =< 8/9*V_n aux(463) =< V_n aux(464) =< V_n/2 aux(465) =< 2/3*V_n s(2472) =< aux(463) s(2473) =< aux(463) s(2472) =< aux(464) s(2473) =< aux(464) s(2474) =< aux(463) s(2475) =< s(2472) s(2476) =< s(2472) s(2476) =< aux(463) s(2479) =< aux(464) s(2475) =< aux(464) s(2479) =< s(2472) s(2480) =< s(2479)*2 s(2481) =< s(2479) s(2481) =< s(2480) s(2482) =< s(2457) s(2483) =< s(2457) s(2482) =< s(2469) s(2460) =< s(2469) s(2484) =< s(2469) s(2485) =< s(2469) s(2483) =< s(2469) s(2458) =< s(2469) s(2486) =< s(2469) s(2458) =< aux(463) s(2486) =< aux(463) s(2461) =< s(2459) s(2482) =< s(2459) s(2460) =< s(2459) s(2484) =< s(2459) s(2485) =< s(2459) s(2483) =< s(2459) s(2458) =< s(2459) s(2486) =< s(2459) s(2461) =< s(2473) s(2482) =< s(2473) s(2460) =< s(2473) s(2484) =< s(2473) s(2485) =< s(2473) s(2483) =< s(2473) s(2458) =< s(2473) s(2486) =< s(2473) s(2487) =< aux(465) s(2460) =< aux(465) s(2484) =< aux(465) s(2485) =< aux(465) s(2483) =< aux(465) s(2458) =< aux(465) s(2486) =< aux(465) s(2487) =< s(2469) s(2488) =< aux(465) s(2482) =< aux(465) s(2488) =< aux(463) s(2482) =< aux(463) s(2460) =< aux(463) s(2484) =< aux(463) s(2485) =< aux(463) s(2483) =< aux(463) s(2484) =< s(2464) s(2486) =< s(2464) s(2489) =< s(2465) s(2484) =< s(2465) s(2485) =< s(2465) s(2483) =< s(2465) s(2458) =< s(2465) s(2486) =< s(2465) s(2489) =< aux(463) s(2490) =< s(2466) s(2486) =< s(2466) s(2490) =< s(2469) s(2491) =< aux(463)*(1/4) s(2492) =< aux(463)*(1/2) s(2493) =< aux(464) s(2495) =< aux(464)*2 s(2496) =< aux(463) s(2501) =< s(2489)*(1/2) s(2502) =< s(2490)*(1/4) s(2503) =< s(2490)*(1/2) s(2504) =< s(2487)*(1/4) s(2505) =< s(2487)*(1/2) s(2506) =< s(2488)*(1/2) s(2507) =< s(2460)*aux(463) s(2508) =< s(2461)*aux(463) s(2509) =< s(2461)*aux(464) s(2512) =< s(2486)*s(2491) s(2513) =< s(2486)*s(2492) s(2514) =< s(2486)*s(2493) s(2516) =< s(2458)*s(2496) s(2517) =< s(2458)*s(2492) s(2518) =< s(2458)*s(2495) s(2521) =< s(2483)*s(2492) s(2523) =< s(2483)*s(2493) s(2525) =< s(2485)*s(2496) s(2526) =< s(2485)*s(2492) s(2527) =< s(2485)*s(2493) s(2529) =< s(2484)*s(2491) s(2530) =< s(2484)*s(2493) s(2531) =< s(2484)*s(2496) s(2533) =< s(2460)*s(2496) s(2534) =< s(2460)*s(2495) s(2537) =< s(2482)*s(2492) s(2538) =< s(2482)*s(2493) s(2539) =< s(2482)*s(2496) s(2541) =< s(2508)*(1/4) s(2542) =< s(2508)*(1/2) s(2543) =< s(2516)*(1/4) s(2544) =< s(2518)*(1/2) s(2545) =< s(2516)*(1/2) s(2546) =< s(2521)*(1/2) s(2547) =< s(2525)*(1/4) s(2548) =< s(2525)*(1/2) s(2549) =< s(2531)*(1/2) s(2550) =< s(2533)*(1/4) s(2551) =< s(2534)*(1/2) s(2552) =< s(2533)*(1/2) s(2553) =< s(2537)*(1/2) s(2554) =< s(2539)*(1/2) s(2555) =< s(2512) s(2556) =< s(2489) s(2557) =< s(2501) s(2558) =< s(2514) s(2559) =< s(2513) s(2559) =< s(2514) s(2560) =< s(2559)*2 s(2561) =< s(2559) s(2561) =< s(2560) s(2558) =< s(2513) s(2563) =< s(2513)*2 s(2564) =< s(2513) s(2564) =< s(2563) s(2566) =< s(2489) s(2566) =< s(2501) s(2568) =< s(2516) s(2569) =< s(2516) s(2570) =< s(2544) s(2571) =< s(2543) s(2572) =< s(2490) s(2573) =< s(2503) s(2574) =< s(2502) s(2568) =< s(2518) s(2569) =< s(2518) s(2573) =< s(2516) s(2576) =< s(2545) s(2576) =< s(2569) s(2577) =< s(2576)*2 s(2578) =< s(2576) s(2578) =< s(2577) s(2579) =< s(2545) s(2570) =< s(2545) s(2579) =< s(2517) s(2570) =< s(2517) s(2580) =< s(2579)*2 s(2581) =< s(2579) s(2581) =< s(2580) s(2582) =< s(2569) s(2582) =< s(2516) s(2572) =< s(2516) s(2583) =< s(2518) s(2583) =< s(2503) s(2584) =< s(2503) s(2584) =< s(2572) s(2583) =< s(2572) s(2585) =< s(2544) s(2586) =< s(2503) s(2586) =< s(2502) s(2587) =< s(2545) s(2585) =< s(2545) s(2587) =< s(2544) s(2588) =< s(2587)*2 s(2589) =< s(2587) s(2589) =< s(2588) s(2590) =< s(2518) s(2590) =< s(2503) s(2591) =< s(2590) s(2591) =< s(2572) s(2592) =< s(2523) s(2593) =< s(2546) s(2594) =< s(2504) s(2595) =< s(2487) s(2595) =< s(2505) s(2597) =< s(2521)*2 s(2598) =< s(2521) s(2598) =< s(2597) s(2592) =< s(2521) s(2603) =< s(2505) s(2603) =< s(2504) s(2604) =< s(2521) s(2604) =< s(2523) s(2605) =< s(2604)*2 s(2606) =< s(2604) s(2606) =< s(2605) s(2607) =< s(2525) s(2608) =< s(2527) s(2609) =< s(2547) s(2610) =< s(2488) s(2611) =< s(2506) s(2612) =< s(2525) s(2612) =< s(2548) s(2613) =< s(2548) s(2613) =< s(2612) s(2614) =< s(2613)*2 s(2615) =< s(2613) s(2615) =< s(2614) s(2616) =< s(2527) s(2617) =< s(2488) s(2617) =< s(2506) s(2618) =< s(2548) s(2616) =< s(2548) s(2618) =< s(2527) s(2619) =< s(2618)*2 s(2620) =< s(2618) s(2620) =< s(2619) s(2610) =< s(2525) s(2621) =< s(2548) s(2608) =< s(2548) s(2621) =< s(2526) s(2608) =< s(2526) s(2622) =< s(2621)*2 s(2623) =< s(2621) s(2623) =< s(2622) s(2624) =< s(2529) s(2625) =< s(2501) s(2626) =< s(2531) s(2625) =< s(2531) s(2626) =< s(2549) s(2627) =< s(2530) s(2628) =< s(2549) s(2628) =< s(2530) s(2629) =< s(2628)*2 s(2630) =< s(2628) s(2630) =< s(2629) s(2631) =< s(2549) s(2627) =< s(2549) s(2631) =< s(2626) s(2627) =< s(2626) s(2632) =< s(2631)*2 s(2633) =< s(2631) s(2633) =< s(2632) s(2635) =< s(2531) s(2636) =< s(2531) s(2637) =< s(2530) s(2635) =< s(2489) s(2636) =< s(2501) s(2638) =< s(2501) s(2638) =< s(2635) s(2636) =< s(2635) s(2637) =< s(2549) s(2637) =< s(2531) s(2640) =< s(2626)*2 s(2641) =< s(2626) s(2641) =< s(2640) s(2642) =< s(2531) s(2642) =< s(2501) s(2643) =< s(2642) s(2643) =< s(2635) s(2645) =< s(2507) s(2646) =< s(2507) s(2647) =< s(2551) s(2648) =< s(2551) s(2649) =< s(2550) s(2650) =< s(2489) s(2651) =< s(2501) s(2652) =< s(2533) s(2651) =< s(2533) s(2653) =< s(2533) s(2645) =< s(2534) s(2653) =< s(2534) s(2652) =< s(2552) s(2650) =< s(2533) s(2645) =< s(2533) s(2654) =< s(2552) s(2654) =< s(2653) s(2655) =< s(2654)*2 s(2656) =< s(2654) s(2656) =< s(2655) s(2657) =< s(2552) s(2647) =< s(2552) s(2657) =< s(2652) s(2647) =< s(2652) s(2658) =< s(2657)*2 s(2659) =< s(2657) s(2659) =< s(2658) s(2646) =< s(2534) s(2660) =< s(2646) s(2660) =< s(2533) s(2662) =< s(2533) s(2663) =< s(2533) s(2662) =< s(2489) s(2663) =< s(2501) s(2664) =< s(2501) s(2664) =< s(2662) s(2663) =< s(2662) s(2648) =< s(2552) s(2648) =< s(2533) s(2666) =< s(2652)*2 s(2667) =< s(2652) s(2667) =< s(2666) s(2668) =< s(2533) s(2668) =< s(2501) s(2669) =< s(2668) s(2669) =< s(2662) s(2670) =< s(2538) s(2671) =< s(2538) s(2672) =< s(2553) s(2673) =< s(2504) s(2674) =< s(2539) s(2673) =< s(2539) s(2674) =< s(2554) s(2675) =< s(2554) s(2675) =< s(2537) s(2676) =< s(2675)*2 s(2677) =< s(2675) s(2677) =< s(2676) s(2678) =< s(2554) s(2670) =< s(2554) s(2678) =< s(2674) s(2670) =< s(2674) s(2679) =< s(2678)*2 s(2680) =< s(2678) s(2680) =< s(2679) s(2682) =< s(2539) s(2683) =< s(2539) s(2682) =< s(2505) s(2683) =< s(2504) s(2684) =< s(2504) s(2684) =< s(2682) s(2683) =< s(2682) s(2671) =< s(2554) s(2671) =< s(2539) s(2686) =< s(2674)*2 s(2687) =< s(2674) s(2687) =< s(2686) s(2688) =< s(2539) s(2688) =< s(2504) s(2689) =< s(2688) s(2689) =< s(2682) s(2690) =< s(2508) s(2691) =< s(2509) s(2692) =< s(2509) s(2693) =< s(2541) s(2694) =< s(2488) s(2695) =< s(2506) s(2696) =< s(2508) s(2695) =< s(2508) s(2696) =< s(2542) s(2697) =< s(2542) s(2697) =< s(2696) s(2698) =< s(2697)*2 s(2699) =< s(2697) s(2699) =< s(2698) s(2691) =< s(2542) s(2691) =< s(2696) s(2694) =< s(2508) s(2701) =< s(2508) s(2701) =< s(2506) s(2702) =< s(2506) s(2702) =< s(2694) s(2701) =< s(2694) s(2692) =< s(2542) s(2692) =< s(2508) s(2704) =< s(2696)*2 s(2705) =< s(2696) s(2705) =< s(2704) s(2706) =< s(2508) s(2706) =< s(2506) s(2707) =< s(2706) s(2707) =< s(2694) with precondition: [V_n>=9] * Chain [96]: 1*s(2713)+1*s(2715)+1*s(2716)+6*s(2733)+2*s(2734)+2*s(2735)+12*s(2739)+1*s(2740)+1*s(2741)+1*s(2742)+1*s(2743)+1*s(2744)+3*s(2813)+6*s(2814)+1*s(2815)+3*s(2816)+30*s(2819)+6*s(2822)+6*s(2824)+1*s(2826)+2*s(2828)+6*s(2829)+3*s(2831)+2*s(2832)+36*s(2836)+12*s(2839)+2*s(2840)+2*s(2841)+6*s(2842)+4*s(2843)+12*s(2844)+24*s(2847)+4*s(2849)+6*s(2850)+6*s(2851)+2*s(2852)+36*s(2853)+48*s(2856)+12*s(2861)+24*s(2864)+2*s(2865)+1*s(2866)+3*s(2867)+1*s(2868)+1*s(2869)+18*s(2873)+2*s(2874)+6*s(2875)+12*s(2878)+6*s(2881)+3*s(2882)+1*s(2883)+1*s(2885)+18*s(2888)+6*s(2891)+1*s(2894)+2*s(2895)+3*s(2896)+12*s(2899)+2*s(2901)+3*s(2903)+2*s(2905)+4*s(2906)+6*s(2907)+9*s(2908)+2*s(2909)+36*s(2914)+12*s(2917)+6*s(2918)+2*s(2921)+6*s(2922)+24*s(2925)+4*s(2927)+2*s(2928)+4*s(2929)+6*s(2930)+2*s(2931)+36*s(2935)+12*s(2938)+2*s(2941)+6*s(2942)+24*s(2945)+4*s(2947)+3*s(2948)+1*s(2949)+2*s(2950)+3*s(2951)+1*s(2953)+24*s(2957)+1*s(2959)+3*s(2960)+12*s(2963)+2*s(2965)+0 Such that:s(2727) =< 4*V_n s(2712) =< V_n/6 s(2713) =< V_n/9 s(2714) =< V_n/12 s(2715) =< V_n/18 s(2716) =< V_n/24 s(2719) =< 2/9*V_n s(2720) =< 4/9*V_n s(2721) =< 8/9*V_n aux(466) =< V_n aux(467) =< 2*V_n aux(468) =< V_n/2 aux(469) =< 2/3*V_n s(2711) =< aux(468) s(2711) =< aux(466) s(2730) =< aux(466) s(2732) =< aux(467) s(2730) =< aux(467) s(2732) =< s(2727) s(2733) =< aux(466) s(2734) =< s(2711) s(2735) =< s(2711) s(2734) =< aux(468) s(2734) =< aux(466) s(2738) =< s(2711)*2 s(2739) =< s(2711) s(2739) =< s(2738) s(2740) =< s(2712) s(2741) =< s(2712) s(2740) =< s(2732) s(2715) =< s(2732) s(2742) =< s(2732) s(2743) =< s(2732) s(2741) =< s(2732) s(2713) =< s(2732) s(2744) =< s(2732) s(2713) =< s(2730) s(2744) =< s(2730) s(2716) =< s(2714) s(2740) =< s(2714) s(2715) =< s(2714) s(2742) =< s(2714) s(2743) =< s(2714) s(2741) =< s(2714) s(2713) =< s(2714) s(2744) =< s(2714) s(2716) =< aux(466) s(2740) =< aux(466) s(2715) =< aux(466) s(2742) =< aux(466) s(2743) =< aux(466) s(2741) =< aux(466) s(2713) =< aux(466) s(2744) =< aux(466) s(2716) =< s(2711) s(2740) =< s(2711) s(2715) =< s(2711) s(2742) =< s(2711) s(2745) =< aux(469) s(2715) =< aux(469) s(2742) =< aux(469) s(2743) =< aux(469) s(2741) =< aux(469) s(2713) =< aux(469) s(2744) =< aux(469) s(2745) =< s(2732) s(2746) =< aux(469) s(2740) =< aux(469) s(2746) =< s(2730) s(2740) =< s(2730) s(2715) =< s(2730) s(2742) =< s(2730) s(2743) =< s(2730) s(2741) =< s(2730) s(2742) =< s(2719) s(2744) =< s(2719) s(2747) =< s(2720) s(2742) =< s(2720) s(2743) =< s(2720) s(2741) =< s(2720) s(2713) =< s(2720) s(2744) =< s(2720) s(2747) =< s(2730) s(2748) =< s(2721) s(2744) =< s(2721) s(2748) =< aux(467) s(2744) =< aux(467) s(2749) =< aux(466)*(1/4) s(2750) =< aux(466)*(1/2) s(2751) =< aux(468) s(2753) =< aux(468)*2 s(2754) =< aux(466) s(2759) =< s(2747)*(1/2) s(2760) =< s(2748)*(1/4) s(2761) =< s(2748)*(1/2) s(2762) =< s(2745)*(1/4) s(2763) =< s(2745)*(1/2) s(2764) =< s(2746)*(1/2) s(2765) =< s(2715)*aux(466) s(2766) =< s(2716)*aux(466) s(2767) =< s(2716)*aux(468) s(2770) =< s(2744)*s(2749) s(2771) =< s(2744)*s(2750) s(2772) =< s(2744)*s(2751) s(2774) =< s(2713)*s(2754) s(2775) =< s(2713)*s(2750) s(2776) =< s(2713)*s(2753) s(2779) =< s(2741)*s(2750) s(2781) =< s(2741)*s(2751) s(2783) =< s(2743)*s(2754) s(2784) =< s(2743)*s(2750) s(2785) =< s(2743)*s(2751) s(2787) =< s(2742)*s(2749) s(2788) =< s(2742)*s(2751) s(2789) =< s(2742)*s(2754) s(2791) =< s(2715)*s(2754) s(2792) =< s(2715)*s(2753) s(2795) =< s(2740)*s(2750) s(2796) =< s(2740)*s(2751) s(2797) =< s(2740)*s(2754) s(2799) =< s(2766)*(1/4) s(2800) =< s(2766)*(1/2) s(2801) =< s(2774)*(1/4) s(2802) =< s(2776)*(1/2) s(2803) =< s(2774)*(1/2) s(2804) =< s(2779)*(1/2) s(2805) =< s(2783)*(1/4) s(2806) =< s(2783)*(1/2) s(2807) =< s(2789)*(1/2) s(2808) =< s(2791)*(1/4) s(2809) =< s(2792)*(1/2) s(2810) =< s(2791)*(1/2) s(2811) =< s(2795)*(1/2) s(2812) =< s(2797)*(1/2) s(2813) =< s(2770) s(2814) =< s(2747) s(2815) =< s(2759) s(2816) =< s(2772) s(2817) =< s(2771) s(2817) =< s(2772) s(2818) =< s(2817)*2 s(2819) =< s(2817) s(2819) =< s(2818) s(2816) =< s(2771) s(2821) =< s(2771)*2 s(2822) =< s(2771) s(2822) =< s(2821) s(2824) =< s(2747) s(2824) =< s(2759) s(2826) =< s(2774) s(2827) =< s(2774) s(2828) =< s(2802) s(2829) =< s(2801) s(2830) =< s(2748) s(2831) =< s(2761) s(2832) =< s(2760) s(2826) =< s(2776) s(2827) =< s(2776) s(2831) =< s(2774) s(2834) =< s(2803) s(2834) =< s(2827) s(2835) =< s(2834)*2 s(2836) =< s(2834) s(2836) =< s(2835) s(2837) =< s(2803) s(2828) =< s(2803) s(2837) =< s(2775) s(2828) =< s(2775) s(2838) =< s(2837)*2 s(2839) =< s(2837) s(2839) =< s(2838) s(2840) =< s(2827) s(2840) =< s(2774) s(2830) =< s(2774) s(2841) =< s(2776) s(2841) =< s(2761) s(2842) =< s(2761) s(2842) =< s(2830) s(2841) =< s(2830) s(2843) =< s(2802) s(2844) =< s(2761) s(2844) =< s(2760) s(2845) =< s(2803) s(2843) =< s(2803) s(2845) =< s(2802) s(2846) =< s(2845)*2 s(2847) =< s(2845) s(2847) =< s(2846) s(2848) =< s(2776) s(2848) =< s(2761) s(2849) =< s(2848) s(2849) =< s(2830) s(2850) =< s(2781) s(2851) =< s(2804) s(2852) =< s(2762) s(2853) =< s(2745) s(2853) =< s(2763) s(2855) =< s(2779)*2 s(2856) =< s(2779) s(2856) =< s(2855) s(2850) =< s(2779) s(2861) =< s(2763) s(2861) =< s(2762) s(2862) =< s(2779) s(2862) =< s(2781) s(2863) =< s(2862)*2 s(2864) =< s(2862) s(2864) =< s(2863) s(2865) =< s(2783) s(2866) =< s(2785) s(2867) =< s(2805) s(2868) =< s(2746) s(2869) =< s(2764) s(2870) =< s(2783) s(2870) =< s(2806) s(2871) =< s(2806) s(2871) =< s(2870) s(2872) =< s(2871)*2 s(2873) =< s(2871) s(2873) =< s(2872) s(2874) =< s(2785) s(2875) =< s(2746) s(2875) =< s(2764) s(2876) =< s(2806) s(2874) =< s(2806) s(2876) =< s(2785) s(2877) =< s(2876)*2 s(2878) =< s(2876) s(2878) =< s(2877) s(2868) =< s(2783) s(2879) =< s(2806) s(2866) =< s(2806) s(2879) =< s(2784) s(2866) =< s(2784) s(2880) =< s(2879)*2 s(2881) =< s(2879) s(2881) =< s(2880) s(2882) =< s(2787) s(2883) =< s(2759) s(2884) =< s(2789) s(2883) =< s(2789) s(2884) =< s(2807) s(2885) =< s(2788) s(2886) =< s(2807) s(2886) =< s(2788) s(2887) =< s(2886)*2 s(2888) =< s(2886) s(2888) =< s(2887) s(2889) =< s(2807) s(2885) =< s(2807) s(2889) =< s(2884) s(2885) =< s(2884) s(2890) =< s(2889)*2 s(2891) =< s(2889) s(2891) =< s(2890) s(2893) =< s(2789) s(2894) =< s(2789) s(2895) =< s(2788) s(2893) =< s(2747) s(2894) =< s(2759) s(2896) =< s(2759) s(2896) =< s(2893) s(2894) =< s(2893) s(2895) =< s(2807) s(2895) =< s(2789) s(2898) =< s(2884)*2 s(2899) =< s(2884) s(2899) =< s(2898) s(2900) =< s(2789) s(2900) =< s(2759) s(2901) =< s(2900) s(2901) =< s(2893) s(2903) =< s(2765) s(2904) =< s(2765) s(2905) =< s(2809) s(2906) =< s(2809) s(2907) =< s(2808) s(2908) =< s(2747) s(2909) =< s(2759) s(2910) =< s(2791) s(2909) =< s(2791) s(2911) =< s(2791) s(2903) =< s(2792) s(2911) =< s(2792) s(2910) =< s(2810) s(2908) =< s(2791) s(2903) =< s(2791) s(2912) =< s(2810) s(2912) =< s(2911) s(2913) =< s(2912)*2 s(2914) =< s(2912) s(2914) =< s(2913) s(2915) =< s(2810) s(2905) =< s(2810) s(2915) =< s(2910) s(2905) =< s(2910) s(2916) =< s(2915)*2 s(2917) =< s(2915) s(2917) =< s(2916) s(2904) =< s(2792) s(2918) =< s(2904) s(2918) =< s(2791) s(2920) =< s(2791) s(2921) =< s(2791) s(2920) =< s(2747) s(2921) =< s(2759) s(2922) =< s(2759) s(2922) =< s(2920) s(2921) =< s(2920) s(2906) =< s(2810) s(2906) =< s(2791) s(2924) =< s(2910)*2 s(2925) =< s(2910) s(2925) =< s(2924) s(2926) =< s(2791) s(2926) =< s(2759) s(2927) =< s(2926) s(2927) =< s(2920) s(2928) =< s(2796) s(2929) =< s(2796) s(2930) =< s(2811) s(2931) =< s(2762) s(2932) =< s(2797) s(2931) =< s(2797) s(2932) =< s(2812) s(2933) =< s(2812) s(2933) =< s(2795) s(2934) =< s(2933)*2 s(2935) =< s(2933) s(2935) =< s(2934) s(2936) =< s(2812) s(2928) =< s(2812) s(2936) =< s(2932) s(2928) =< s(2932) s(2937) =< s(2936)*2 s(2938) =< s(2936) s(2938) =< s(2937) s(2940) =< s(2797) s(2941) =< s(2797) s(2940) =< s(2763) s(2941) =< s(2762) s(2942) =< s(2762) s(2942) =< s(2940) s(2941) =< s(2940) s(2929) =< s(2812) s(2929) =< s(2797) s(2944) =< s(2932)*2 s(2945) =< s(2932) s(2945) =< s(2944) s(2946) =< s(2797) s(2946) =< s(2762) s(2947) =< s(2946) s(2947) =< s(2940) s(2948) =< s(2766) s(2949) =< s(2767) s(2950) =< s(2767) s(2951) =< s(2799) s(2952) =< s(2746) s(2953) =< s(2764) s(2954) =< s(2766) s(2953) =< s(2766) s(2954) =< s(2800) s(2955) =< s(2800) s(2955) =< s(2954) s(2956) =< s(2955)*2 s(2957) =< s(2955) s(2957) =< s(2956) s(2949) =< s(2800) s(2949) =< s(2954) s(2952) =< s(2766) s(2959) =< s(2766) s(2959) =< s(2764) s(2960) =< s(2764) s(2960) =< s(2952) s(2959) =< s(2952) s(2950) =< s(2800) s(2950) =< s(2766) s(2962) =< s(2954)*2 s(2963) =< s(2954) s(2963) =< s(2962) s(2964) =< s(2766) s(2964) =< s(2764) s(2965) =< s(2964) s(2965) =< s(2952) with precondition: [V_n>=12] * Chain [95]: 1*s(2971)+1*s(2973)+1*s(2974)+8*s(2994)+4*s(2996)+6*s(2997)+6*s(3001)+24*s(3004)+4*s(3005)+1*s(3006)+1*s(3007)+1*s(3008)+1*s(3009)+1*s(3010)+3*s(3079)+6*s(3080)+1*s(3081)+3*s(3082)+30*s(3085)+6*s(3088)+6*s(3090)+1*s(3092)+2*s(3094)+6*s(3095)+3*s(3097)+2*s(3098)+36*s(3102)+12*s(3105)+2*s(3106)+2*s(3107)+6*s(3108)+4*s(3109)+12*s(3110)+24*s(3113)+4*s(3115)+6*s(3116)+6*s(3117)+2*s(3118)+36*s(3119)+48*s(3122)+12*s(3127)+24*s(3130)+2*s(3131)+1*s(3132)+3*s(3133)+1*s(3134)+1*s(3135)+18*s(3139)+2*s(3140)+6*s(3141)+12*s(3144)+6*s(3147)+3*s(3148)+1*s(3149)+1*s(3151)+18*s(3154)+6*s(3157)+1*s(3160)+2*s(3161)+3*s(3162)+12*s(3165)+2*s(3167)+3*s(3169)+2*s(3171)+4*s(3172)+6*s(3173)+9*s(3174)+2*s(3175)+36*s(3180)+12*s(3183)+6*s(3184)+2*s(3187)+6*s(3188)+24*s(3191)+4*s(3193)+2*s(3194)+4*s(3195)+6*s(3196)+2*s(3197)+36*s(3201)+12*s(3204)+2*s(3207)+6*s(3208)+24*s(3211)+4*s(3213)+3*s(3214)+1*s(3215)+2*s(3216)+3*s(3217)+1*s(3219)+24*s(3223)+1*s(3225)+3*s(3226)+12*s(3229)+2*s(3231)+0 Such that:s(2970) =< V_n/6 s(2971) =< V_n/9 s(2972) =< V_n/12 s(2973) =< V_n/18 s(2974) =< V_n/24 s(2977) =< 2/9*V_n s(2978) =< 4/9*V_n s(2979) =< 8/9*V_n aux(470) =< V_n aux(471) =< 2*V_n aux(472) =< 4*V_n aux(473) =< V_n/2 aux(474) =< 2/3*V_n s(2968) =< aux(471) s(2969) =< aux(472) s(2968) =< aux(470) s(2990) =< aux(470) s(2969) =< aux(471) s(2990) =< aux(473) s(2994) =< s(2968) s(2995) =< s(2968) s(2996) =< s(2990) s(2997) =< s(2990) s(3001) =< aux(470) s(2994) =< aux(470) s(2997) =< aux(470) s(3002) =< aux(473) s(2996) =< aux(473) s(3002) =< aux(470) s(2996) =< aux(470) s(3003) =< s(3002)*2 s(3004) =< s(3002) s(3004) =< s(3003) s(2995) =< aux(470) s(3005) =< s(2995) s(3005) =< aux(470) s(3006) =< s(2970) s(3007) =< s(2970) s(3006) =< s(2969) s(2973) =< s(2969) s(3008) =< s(2969) s(3009) =< s(2969) s(3007) =< s(2969) s(2971) =< s(2969) s(3010) =< s(2969) s(2971) =< s(2968) s(3010) =< s(2968) s(2974) =< s(2972) s(3006) =< s(2972) s(2973) =< s(2972) s(3008) =< s(2972) s(3009) =< s(2972) s(3007) =< s(2972) s(2971) =< s(2972) s(3010) =< s(2972) s(2974) =< s(2990) s(3006) =< s(2990) s(2973) =< s(2990) s(3008) =< s(2990) s(3009) =< s(2990) s(3007) =< s(2990) s(2971) =< s(2990) s(3010) =< s(2990) s(3011) =< aux(474) s(2973) =< aux(474) s(3008) =< aux(474) s(3009) =< aux(474) s(3007) =< aux(474) s(2971) =< aux(474) s(3010) =< aux(474) s(3011) =< s(2969) s(3012) =< aux(474) s(3006) =< aux(474) s(3012) =< s(2968) s(3006) =< s(2968) s(2973) =< s(2968) s(3008) =< s(2968) s(3009) =< s(2968) s(3007) =< s(2968) s(3008) =< s(2977) s(3010) =< s(2977) s(3013) =< s(2978) s(3008) =< s(2978) s(3009) =< s(2978) s(3007) =< s(2978) s(2971) =< s(2978) s(3010) =< s(2978) s(3013) =< s(2968) s(3014) =< s(2979) s(3010) =< s(2979) s(3014) =< s(2969) s(3015) =< aux(470)*(1/4) s(3016) =< aux(470)*(1/2) s(3017) =< aux(473) s(3019) =< aux(473)*2 s(3020) =< aux(470) s(3025) =< s(3013)*(1/2) s(3026) =< s(3014)*(1/4) s(3027) =< s(3014)*(1/2) s(3028) =< s(3011)*(1/4) s(3029) =< s(3011)*(1/2) s(3030) =< s(3012)*(1/2) s(3031) =< s(2973)*aux(470) s(3032) =< s(2974)*aux(470) s(3033) =< s(2974)*aux(473) s(3036) =< s(3010)*s(3015) s(3037) =< s(3010)*s(3016) s(3038) =< s(3010)*s(3017) s(3040) =< s(2971)*s(3020) s(3041) =< s(2971)*s(3016) s(3042) =< s(2971)*s(3019) s(3045) =< s(3007)*s(3016) s(3047) =< s(3007)*s(3017) s(3049) =< s(3009)*s(3020) s(3050) =< s(3009)*s(3016) s(3051) =< s(3009)*s(3017) s(3053) =< s(3008)*s(3015) s(3054) =< s(3008)*s(3017) s(3055) =< s(3008)*s(3020) s(3057) =< s(2973)*s(3020) s(3058) =< s(2973)*s(3019) s(3061) =< s(3006)*s(3016) s(3062) =< s(3006)*s(3017) s(3063) =< s(3006)*s(3020) s(3065) =< s(3032)*(1/4) s(3066) =< s(3032)*(1/2) s(3067) =< s(3040)*(1/4) s(3068) =< s(3042)*(1/2) s(3069) =< s(3040)*(1/2) s(3070) =< s(3045)*(1/2) s(3071) =< s(3049)*(1/4) s(3072) =< s(3049)*(1/2) s(3073) =< s(3055)*(1/2) s(3074) =< s(3057)*(1/4) s(3075) =< s(3058)*(1/2) s(3076) =< s(3057)*(1/2) s(3077) =< s(3061)*(1/2) s(3078) =< s(3063)*(1/2) s(3079) =< s(3036) s(3080) =< s(3013) s(3081) =< s(3025) s(3082) =< s(3038) s(3083) =< s(3037) s(3083) =< s(3038) s(3084) =< s(3083)*2 s(3085) =< s(3083) s(3085) =< s(3084) s(3082) =< s(3037) s(3087) =< s(3037)*2 s(3088) =< s(3037) s(3088) =< s(3087) s(3090) =< s(3013) s(3090) =< s(3025) s(3092) =< s(3040) s(3093) =< s(3040) s(3094) =< s(3068) s(3095) =< s(3067) s(3096) =< s(3014) s(3097) =< s(3027) s(3098) =< s(3026) s(3092) =< s(3042) s(3093) =< s(3042) s(3097) =< s(3040) s(3100) =< s(3069) s(3100) =< s(3093) s(3101) =< s(3100)*2 s(3102) =< s(3100) s(3102) =< s(3101) s(3103) =< s(3069) s(3094) =< s(3069) s(3103) =< s(3041) s(3094) =< s(3041) s(3104) =< s(3103)*2 s(3105) =< s(3103) s(3105) =< s(3104) s(3106) =< s(3093) s(3106) =< s(3040) s(3096) =< s(3040) s(3107) =< s(3042) s(3107) =< s(3027) s(3108) =< s(3027) s(3108) =< s(3096) s(3107) =< s(3096) s(3109) =< s(3068) s(3110) =< s(3027) s(3110) =< s(3026) s(3111) =< s(3069) s(3109) =< s(3069) s(3111) =< s(3068) s(3112) =< s(3111)*2 s(3113) =< s(3111) s(3113) =< s(3112) s(3114) =< s(3042) s(3114) =< s(3027) s(3115) =< s(3114) s(3115) =< s(3096) s(3116) =< s(3047) s(3117) =< s(3070) s(3118) =< s(3028) s(3119) =< s(3011) s(3119) =< s(3029) s(3121) =< s(3045)*2 s(3122) =< s(3045) s(3122) =< s(3121) s(3116) =< s(3045) s(3127) =< s(3029) s(3127) =< s(3028) s(3128) =< s(3045) s(3128) =< s(3047) s(3129) =< s(3128)*2 s(3130) =< s(3128) s(3130) =< s(3129) s(3131) =< s(3049) s(3132) =< s(3051) s(3133) =< s(3071) s(3134) =< s(3012) s(3135) =< s(3030) s(3136) =< s(3049) s(3136) =< s(3072) s(3137) =< s(3072) s(3137) =< s(3136) s(3138) =< s(3137)*2 s(3139) =< s(3137) s(3139) =< s(3138) s(3140) =< s(3051) s(3141) =< s(3012) s(3141) =< s(3030) s(3142) =< s(3072) s(3140) =< s(3072) s(3142) =< s(3051) s(3143) =< s(3142)*2 s(3144) =< s(3142) s(3144) =< s(3143) s(3134) =< s(3049) s(3145) =< s(3072) s(3132) =< s(3072) s(3145) =< s(3050) s(3132) =< s(3050) s(3146) =< s(3145)*2 s(3147) =< s(3145) s(3147) =< s(3146) s(3148) =< s(3053) s(3149) =< s(3025) s(3150) =< s(3055) s(3149) =< s(3055) s(3150) =< s(3073) s(3151) =< s(3054) s(3152) =< s(3073) s(3152) =< s(3054) s(3153) =< s(3152)*2 s(3154) =< s(3152) s(3154) =< s(3153) s(3155) =< s(3073) s(3151) =< s(3073) s(3155) =< s(3150) s(3151) =< s(3150) s(3156) =< s(3155)*2 s(3157) =< s(3155) s(3157) =< s(3156) s(3159) =< s(3055) s(3160) =< s(3055) s(3161) =< s(3054) s(3159) =< s(3013) s(3160) =< s(3025) s(3162) =< s(3025) s(3162) =< s(3159) s(3160) =< s(3159) s(3161) =< s(3073) s(3161) =< s(3055) s(3164) =< s(3150)*2 s(3165) =< s(3150) s(3165) =< s(3164) s(3166) =< s(3055) s(3166) =< s(3025) s(3167) =< s(3166) s(3167) =< s(3159) s(3169) =< s(3031) s(3170) =< s(3031) s(3171) =< s(3075) s(3172) =< s(3075) s(3173) =< s(3074) s(3174) =< s(3013) s(3175) =< s(3025) s(3176) =< s(3057) s(3175) =< s(3057) s(3177) =< s(3057) s(3169) =< s(3058) s(3177) =< s(3058) s(3176) =< s(3076) s(3174) =< s(3057) s(3169) =< s(3057) s(3178) =< s(3076) s(3178) =< s(3177) s(3179) =< s(3178)*2 s(3180) =< s(3178) s(3180) =< s(3179) s(3181) =< s(3076) s(3171) =< s(3076) s(3181) =< s(3176) s(3171) =< s(3176) s(3182) =< s(3181)*2 s(3183) =< s(3181) s(3183) =< s(3182) s(3170) =< s(3058) s(3184) =< s(3170) s(3184) =< s(3057) s(3186) =< s(3057) s(3187) =< s(3057) s(3186) =< s(3013) s(3187) =< s(3025) s(3188) =< s(3025) s(3188) =< s(3186) s(3187) =< s(3186) s(3172) =< s(3076) s(3172) =< s(3057) s(3190) =< s(3176)*2 s(3191) =< s(3176) s(3191) =< s(3190) s(3192) =< s(3057) s(3192) =< s(3025) s(3193) =< s(3192) s(3193) =< s(3186) s(3194) =< s(3062) s(3195) =< s(3062) s(3196) =< s(3077) s(3197) =< s(3028) s(3198) =< s(3063) s(3197) =< s(3063) s(3198) =< s(3078) s(3199) =< s(3078) s(3199) =< s(3061) s(3200) =< s(3199)*2 s(3201) =< s(3199) s(3201) =< s(3200) s(3202) =< s(3078) s(3194) =< s(3078) s(3202) =< s(3198) s(3194) =< s(3198) s(3203) =< s(3202)*2 s(3204) =< s(3202) s(3204) =< s(3203) s(3206) =< s(3063) s(3207) =< s(3063) s(3206) =< s(3029) s(3207) =< s(3028) s(3208) =< s(3028) s(3208) =< s(3206) s(3207) =< s(3206) s(3195) =< s(3078) s(3195) =< s(3063) s(3210) =< s(3198)*2 s(3211) =< s(3198) s(3211) =< s(3210) s(3212) =< s(3063) s(3212) =< s(3028) s(3213) =< s(3212) s(3213) =< s(3206) s(3214) =< s(3032) s(3215) =< s(3033) s(3216) =< s(3033) s(3217) =< s(3065) s(3218) =< s(3012) s(3219) =< s(3030) s(3220) =< s(3032) s(3219) =< s(3032) s(3220) =< s(3066) s(3221) =< s(3066) s(3221) =< s(3220) s(3222) =< s(3221)*2 s(3223) =< s(3221) s(3223) =< s(3222) s(3215) =< s(3066) s(3215) =< s(3220) s(3218) =< s(3032) s(3225) =< s(3032) s(3225) =< s(3030) s(3226) =< s(3030) s(3226) =< s(3218) s(3225) =< s(3218) s(3216) =< s(3066) s(3216) =< s(3032) s(3228) =< s(3220)*2 s(3229) =< s(3220) s(3229) =< s(3228) s(3230) =< s(3032) s(3230) =< s(3030) s(3231) =< s(3230) s(3231) =< s(3218) with precondition: [V_n>=13] * Chain [94]: 2*s(3253)+2*s(3254)+2*s(3255)+2*s(3256)+2*s(3257)+36*s(3259)+12*s(3262)+4*s(3263)+2*s(3264)+6*s(3266)+24*s(3269)+4*s(3271)+2*s(3272)+4*s(3273)+2*s(3274)+2*s(3276)+6*s(3345)+12*s(3346)+2*s(3347)+6*s(3348)+60*s(3351)+12*s(3354)+12*s(3356)+2*s(3358)+4*s(3360)+12*s(3361)+6*s(3363)+4*s(3364)+72*s(3368)+24*s(3371)+4*s(3372)+4*s(3373)+12*s(3374)+8*s(3375)+24*s(3376)+48*s(3379)+8*s(3381)+12*s(3382)+12*s(3383)+4*s(3384)+72*s(3385)+96*s(3388)+24*s(3393)+48*s(3396)+4*s(3397)+2*s(3398)+6*s(3399)+2*s(3400)+2*s(3401)+36*s(3405)+4*s(3406)+12*s(3407)+24*s(3410)+12*s(3413)+6*s(3414)+2*s(3415)+2*s(3417)+36*s(3420)+12*s(3423)+2*s(3426)+4*s(3427)+6*s(3428)+24*s(3431)+4*s(3433)+6*s(3435)+4*s(3437)+8*s(3438)+12*s(3439)+18*s(3440)+4*s(3441)+72*s(3446)+24*s(3449)+12*s(3450)+4*s(3453)+12*s(3454)+48*s(3457)+8*s(3459)+4*s(3460)+8*s(3461)+12*s(3462)+4*s(3463)+72*s(3467)+24*s(3470)+4*s(3473)+12*s(3474)+48*s(3477)+8*s(3479)+6*s(3480)+2*s(3481)+4*s(3482)+6*s(3483)+2*s(3485)+48*s(3489)+2*s(3491)+6*s(3492)+24*s(3495)+4*s(3497)+2*s(3498)+2*s(3499)+12*s(3502)+16*s(3503)+24*s(3506)+0 Such that:s(3240) =< V_n/3 s(3241) =< V_n/4 s(3244) =< V_n/9 s(3245) =< V_n/12 s(3246) =< V_n/18 s(3247) =< V_n/24 s(3250) =< 2/9*V_n s(3232) =< 3/4*V_n s(3233) =< 3/8*V_n s(3251) =< 4/9*V_n s(3252) =< 8/9*V_n aux(475) =< V_n aux(476) =< V_n/2 aux(477) =< V_n/6 aux(478) =< 2/3*V_n s(3253) =< s(3244) s(3254) =< s(3246) s(3255) =< s(3247) s(3256) =< s(3241) s(3257) =< s(3241) s(3258) =< aux(476) s(3258) =< aux(475) s(3257) =< aux(475) s(3259) =< aux(475) s(3259) =< aux(476) s(3260) =< aux(476) s(3256) =< aux(476) s(3260) =< s(3258) s(3256) =< s(3258) s(3261) =< s(3260)*2 s(3262) =< s(3260) s(3262) =< s(3261) s(3263) =< s(3241) s(3264) =< s(3241) s(3264) =< s(3232) s(3265) =< s(3232) s(3265) =< aux(475) s(3266) =< s(3241) s(3266) =< s(3258) s(3264) =< s(3258) s(3267) =< aux(476) s(3263) =< aux(476) s(3267) =< s(3265) s(3263) =< s(3265) s(3268) =< s(3267)*2 s(3269) =< s(3267) s(3269) =< s(3268) s(3270) =< s(3241) s(3270) =< s(3232) s(3271) =< s(3270) s(3271) =< s(3258) s(3272) =< aux(477) s(3273) =< aux(477) s(3272) =< s(3240) s(3254) =< s(3240) s(3274) =< s(3240) s(3273) =< s(3240) s(3253) =< s(3240) s(3276) =< s(3240) s(3253) =< aux(477) s(3276) =< aux(477) s(3255) =< s(3245) s(3272) =< s(3245) s(3254) =< s(3245) s(3274) =< s(3245) s(3273) =< s(3245) s(3253) =< s(3245) s(3276) =< s(3245) s(3272) =< s(3247) s(3254) =< s(3247) s(3274) =< s(3247) s(3277) =< aux(478) s(3254) =< aux(478) s(3274) =< aux(478) s(3273) =< aux(478) s(3253) =< aux(478) s(3276) =< aux(478) s(3277) =< s(3240) s(3278) =< aux(478) s(3272) =< aux(478) s(3278) =< aux(477) s(3254) =< aux(477) s(3274) =< aux(477) s(3274) =< s(3250) s(3276) =< s(3250) s(3279) =< s(3251) s(3274) =< s(3251) s(3273) =< s(3251) s(3253) =< s(3251) s(3276) =< s(3251) s(3279) =< aux(477) s(3280) =< s(3252) s(3276) =< s(3252) s(3280) =< s(3240) s(3281) =< aux(475)*(1/4) s(3282) =< aux(475)*(1/2) s(3283) =< aux(476) s(3285) =< aux(476)*2 s(3286) =< aux(475) s(3291) =< s(3279)*(1/2) s(3292) =< s(3280)*(1/4) s(3293) =< s(3280)*(1/2) s(3294) =< s(3277)*(1/4) s(3295) =< s(3277)*(1/2) s(3296) =< s(3278)*(1/2) s(3297) =< s(3254)*aux(475) s(3298) =< s(3255)*aux(475) s(3299) =< s(3255)*aux(476) s(3302) =< s(3276)*s(3281) s(3303) =< s(3276)*s(3282) s(3304) =< s(3276)*s(3283) s(3306) =< s(3253)*s(3286) s(3307) =< s(3253)*s(3282) s(3308) =< s(3253)*s(3285) s(3311) =< s(3273)*s(3282) s(3313) =< s(3273)*s(3283) s(3315) =< s(3273)*s(3286) s(3319) =< s(3274)*s(3281) s(3320) =< s(3274)*s(3283) s(3321) =< s(3274)*s(3286) s(3323) =< s(3254)*s(3286) s(3324) =< s(3254)*s(3285) s(3327) =< s(3272)*s(3282) s(3328) =< s(3272)*s(3283) s(3329) =< s(3272)*s(3286) s(3331) =< s(3298)*(1/4) s(3332) =< s(3298)*(1/2) s(3333) =< s(3306)*(1/4) s(3334) =< s(3308)*(1/2) s(3335) =< s(3306)*(1/2) s(3336) =< s(3311)*(1/2) s(3337) =< s(3315)*(1/4) s(3338) =< s(3315)*(1/2) s(3339) =< s(3321)*(1/2) s(3340) =< s(3323)*(1/4) s(3341) =< s(3324)*(1/2) s(3342) =< s(3323)*(1/2) s(3343) =< s(3327)*(1/2) s(3344) =< s(3329)*(1/2) s(3345) =< s(3302) s(3346) =< s(3279) s(3347) =< s(3291) s(3348) =< s(3304) s(3349) =< s(3303) s(3349) =< s(3304) s(3350) =< s(3349)*2 s(3351) =< s(3349) s(3351) =< s(3350) s(3348) =< s(3303) s(3353) =< s(3303)*2 s(3354) =< s(3303) s(3354) =< s(3353) s(3356) =< s(3279) s(3356) =< s(3291) s(3358) =< s(3306) s(3359) =< s(3306) s(3360) =< s(3334) s(3361) =< s(3333) s(3362) =< s(3280) s(3363) =< s(3293) s(3364) =< s(3292) s(3358) =< s(3308) s(3359) =< s(3308) s(3363) =< s(3306) s(3366) =< s(3335) s(3366) =< s(3359) s(3367) =< s(3366)*2 s(3368) =< s(3366) s(3368) =< s(3367) s(3369) =< s(3335) s(3360) =< s(3335) s(3369) =< s(3307) s(3360) =< s(3307) s(3370) =< s(3369)*2 s(3371) =< s(3369) s(3371) =< s(3370) s(3372) =< s(3359) s(3372) =< s(3306) s(3362) =< s(3306) s(3373) =< s(3308) s(3373) =< s(3293) s(3374) =< s(3293) s(3374) =< s(3362) s(3373) =< s(3362) s(3375) =< s(3334) s(3376) =< s(3293) s(3376) =< s(3292) s(3377) =< s(3335) s(3375) =< s(3335) s(3377) =< s(3334) s(3378) =< s(3377)*2 s(3379) =< s(3377) s(3379) =< s(3378) s(3380) =< s(3308) s(3380) =< s(3293) s(3381) =< s(3380) s(3381) =< s(3362) s(3382) =< s(3313) s(3383) =< s(3336) s(3384) =< s(3294) s(3385) =< s(3277) s(3385) =< s(3295) s(3387) =< s(3311)*2 s(3388) =< s(3311) s(3388) =< s(3387) s(3382) =< s(3311) s(3393) =< s(3295) s(3393) =< s(3294) s(3394) =< s(3311) s(3394) =< s(3313) s(3395) =< s(3394)*2 s(3396) =< s(3394) s(3396) =< s(3395) s(3397) =< s(3315) s(3398) =< s(3313) s(3399) =< s(3337) s(3400) =< s(3278) s(3401) =< s(3296) s(3402) =< s(3315) s(3402) =< s(3338) s(3403) =< s(3338) s(3403) =< s(3402) s(3404) =< s(3403)*2 s(3405) =< s(3403) s(3405) =< s(3404) s(3406) =< s(3313) s(3407) =< s(3278) s(3407) =< s(3296) s(3408) =< s(3338) s(3406) =< s(3338) s(3408) =< s(3313) s(3409) =< s(3408)*2 s(3410) =< s(3408) s(3410) =< s(3409) s(3400) =< s(3315) s(3411) =< s(3338) s(3398) =< s(3338) s(3411) =< s(3311) s(3398) =< s(3311) s(3412) =< s(3411)*2 s(3413) =< s(3411) s(3413) =< s(3412) s(3414) =< s(3319) s(3415) =< s(3291) s(3416) =< s(3321) s(3415) =< s(3321) s(3416) =< s(3339) s(3417) =< s(3320) s(3418) =< s(3339) s(3418) =< s(3320) s(3419) =< s(3418)*2 s(3420) =< s(3418) s(3420) =< s(3419) s(3421) =< s(3339) s(3417) =< s(3339) s(3421) =< s(3416) s(3417) =< s(3416) s(3422) =< s(3421)*2 s(3423) =< s(3421) s(3423) =< s(3422) s(3425) =< s(3321) s(3426) =< s(3321) s(3427) =< s(3320) s(3425) =< s(3279) s(3426) =< s(3291) s(3428) =< s(3291) s(3428) =< s(3425) s(3426) =< s(3425) s(3427) =< s(3339) s(3427) =< s(3321) s(3430) =< s(3416)*2 s(3431) =< s(3416) s(3431) =< s(3430) s(3432) =< s(3321) s(3432) =< s(3291) s(3433) =< s(3432) s(3433) =< s(3425) s(3435) =< s(3297) s(3436) =< s(3297) s(3437) =< s(3341) s(3438) =< s(3341) s(3439) =< s(3340) s(3440) =< s(3279) s(3441) =< s(3291) s(3442) =< s(3323) s(3441) =< s(3323) s(3443) =< s(3323) s(3435) =< s(3324) s(3443) =< s(3324) s(3442) =< s(3342) s(3440) =< s(3323) s(3435) =< s(3323) s(3444) =< s(3342) s(3444) =< s(3443) s(3445) =< s(3444)*2 s(3446) =< s(3444) s(3446) =< s(3445) s(3447) =< s(3342) s(3437) =< s(3342) s(3447) =< s(3442) s(3437) =< s(3442) s(3448) =< s(3447)*2 s(3449) =< s(3447) s(3449) =< s(3448) s(3436) =< s(3324) s(3450) =< s(3436) s(3450) =< s(3323) s(3452) =< s(3323) s(3453) =< s(3323) s(3452) =< s(3279) s(3453) =< s(3291) s(3454) =< s(3291) s(3454) =< s(3452) s(3453) =< s(3452) s(3438) =< s(3342) s(3438) =< s(3323) s(3456) =< s(3442)*2 s(3457) =< s(3442) s(3457) =< s(3456) s(3458) =< s(3323) s(3458) =< s(3291) s(3459) =< s(3458) s(3459) =< s(3452) s(3460) =< s(3328) s(3461) =< s(3328) s(3462) =< s(3343) s(3463) =< s(3294) s(3464) =< s(3329) s(3463) =< s(3329) s(3464) =< s(3344) s(3465) =< s(3344) s(3465) =< s(3327) s(3466) =< s(3465)*2 s(3467) =< s(3465) s(3467) =< s(3466) s(3468) =< s(3344) s(3460) =< s(3344) s(3468) =< s(3464) s(3460) =< s(3464) s(3469) =< s(3468)*2 s(3470) =< s(3468) s(3470) =< s(3469) s(3472) =< s(3329) s(3473) =< s(3329) s(3472) =< s(3295) s(3473) =< s(3294) s(3474) =< s(3294) s(3474) =< s(3472) s(3473) =< s(3472) s(3461) =< s(3344) s(3461) =< s(3329) s(3476) =< s(3464)*2 s(3477) =< s(3464) s(3477) =< s(3476) s(3478) =< s(3329) s(3478) =< s(3294) s(3479) =< s(3478) s(3479) =< s(3472) s(3480) =< s(3298) s(3481) =< s(3299) s(3482) =< s(3299) s(3483) =< s(3331) s(3484) =< s(3278) s(3485) =< s(3296) s(3486) =< s(3298) s(3485) =< s(3298) s(3486) =< s(3332) s(3487) =< s(3332) s(3487) =< s(3486) s(3488) =< s(3487)*2 s(3489) =< s(3487) s(3489) =< s(3488) s(3481) =< s(3332) s(3481) =< s(3486) s(3484) =< s(3298) s(3491) =< s(3298) s(3491) =< s(3296) s(3492) =< s(3296) s(3492) =< s(3484) s(3491) =< s(3484) s(3482) =< s(3332) s(3482) =< s(3298) s(3494) =< s(3486)*2 s(3495) =< s(3486) s(3495) =< s(3494) s(3496) =< s(3298) s(3496) =< s(3296) s(3497) =< s(3496) s(3497) =< s(3484) s(3498) =< s(3241) s(3499) =< s(3241) s(3500) =< aux(476) s(3498) =< aux(476) s(3500) =< s(3233) s(3498) =< s(3233) s(3501) =< s(3500)*2 s(3502) =< s(3500) s(3502) =< s(3501) s(3503) =< s(3241) s(3503) =< aux(476) s(3504) =< aux(476) s(3504) =< s(3241) s(3505) =< s(3504)*2 s(3506) =< s(3504) s(3506) =< s(3505) with precondition: [V_n>=16] #### Cost of chains of eval_sipmamergesort2_start(V_n,B): * Chain [115]: 2*s(3508)+0 Such that:s(3507) =< 1 s(3508) =< s(3507) with precondition: [V_n=1] * Chain [114]: 1*s(3511)+6*s(3512)+0 Such that:s(3509) =< 1 s(3510) =< 2 s(3511) =< s(3510) s(3512) =< s(3510) s(3512) =< s(3509) with precondition: [V_n=2] * Chain [113]: 3*s(3518)+2*s(3519)+2*s(3520)+3*s(3521)+12*s(3524)+0 Such that:s(3517) =< 1 s(3513) =< 2 s(3514) =< 3 s(3515) =< 1/2 s(3516) =< 3/2 s(3518) =< s(3517) s(3519) =< s(3515) s(3520) =< s(3517) s(3521) =< s(3513) s(3521) =< s(3514) s(3518) =< s(3514) s(3522) =< s(3516) s(3519) =< s(3516) s(3522) =< s(3517) s(3519) =< s(3517) s(3523) =< s(3522)*2 s(3524) =< s(3522) s(3524) =< s(3523) with precondition: [V_n=3] * Chain [112]: 2*s(3529)+2*s(3530)+18*s(3531)+12*s(3534)+16*s(3535)+24*s(3538)+0 Such that:s(3525) =< 1 s(3526) =< 2 s(3527) =< 4 s(3528) =< 3/2 s(3529) =< s(3525) s(3530) =< s(3525) s(3531) =< s(3527) s(3531) =< s(3526) s(3532) =< s(3526) s(3529) =< s(3526) s(3532) =< s(3528) s(3529) =< s(3528) s(3533) =< s(3532)*2 s(3534) =< s(3532) s(3534) =< s(3533) s(3535) =< s(3525) s(3535) =< s(3526) s(3536) =< s(3526) s(3536) =< s(3525) s(3537) =< s(3536)*2 s(3538) =< s(3536) s(3538) =< s(3537) with precondition: [V_n=4] * Chain [111]: 0 with precondition: [0>=V_n] * Chain [110]: 1*s(3543)+1*s(3545)+1*s(3546)+7*s(3554)+1*s(3559)+1*s(3560)+1*s(3561)+1*s(3562)+1*s(3563)+3*s(3615)+6*s(3616)+1*s(3617)+3*s(3618)+30*s(3621)+6*s(3623)+6*s(3624)+1*s(3625)+2*s(3627)+6*s(3628)+3*s(3630)+2*s(3631)+36*s(3634)+12*s(3637)+2*s(3638)+2*s(3639)+6*s(3640)+4*s(3641)+12*s(3642)+24*s(3645)+4*s(3647)+6*s(3648)+6*s(3649)+2*s(3650)+36*s(3651)+48*s(3653)+12*s(3654)+24*s(3657)+2*s(3658)+1*s(3659)+3*s(3660)+1*s(3661)+1*s(3662)+18*s(3666)+2*s(3667)+6*s(3668)+12*s(3671)+6*s(3674)+3*s(3675)+1*s(3676)+1*s(3678)+18*s(3681)+6*s(3684)+1*s(3686)+2*s(3687)+3*s(3688)+12*s(3690)+2*s(3692)+3*s(3693)+2*s(3695)+4*s(3696)+6*s(3697)+9*s(3698)+2*s(3699)+36*s(3704)+12*s(3707)+6*s(3708)+2*s(3710)+6*s(3711)+24*s(3713)+4*s(3715)+2*s(3716)+4*s(3717)+6*s(3718)+2*s(3719)+36*s(3723)+12*s(3726)+2*s(3728)+6*s(3729)+24*s(3731)+4*s(3733)+3*s(3734)+1*s(3735)+2*s(3736)+3*s(3737)+1*s(3739)+24*s(3743)+1*s(3744)+3*s(3745)+12*s(3747)+2*s(3749)+0 Such that:s(3551) =< V_n s(3539) =< 2*V_n s(3540) =< 4*V_n s(3541) =< V_n/2 s(3542) =< V_n/3 s(3552) =< V_n/6 s(3543) =< V_n/9 s(3544) =< V_n/12 s(3545) =< V_n/18 s(3546) =< V_n/24 s(3553) =< 2/3*V_n s(3547) =< 2/9*V_n s(3548) =< 4/3*V_n s(3549) =< 4/9*V_n s(3550) =< 8/9*V_n s(3554) =< s(3551) s(3555) =< s(3552) s(3556) =< s(3551) s(3555) =< s(3551) s(3557) =< s(3539) s(3558) =< s(3540) s(3556) =< s(3542) s(3557) =< s(3553) s(3558) =< s(3548) s(3559) =< s(3552) s(3560) =< s(3552) s(3559) =< s(3558) s(3545) =< s(3558) s(3561) =< s(3558) s(3562) =< s(3558) s(3560) =< s(3558) s(3543) =< s(3558) s(3563) =< s(3558) s(3543) =< s(3557) s(3563) =< s(3557) s(3546) =< s(3544) s(3559) =< s(3544) s(3545) =< s(3544) s(3561) =< s(3544) s(3562) =< s(3544) s(3560) =< s(3544) s(3543) =< s(3544) s(3563) =< s(3544) s(3546) =< s(3556) s(3559) =< s(3556) s(3545) =< s(3556) s(3561) =< s(3556) s(3562) =< s(3556) s(3560) =< s(3556) s(3543) =< s(3556) s(3563) =< s(3556) s(3546) =< s(3555) s(3559) =< s(3555) s(3545) =< s(3555) s(3561) =< s(3555) s(3564) =< s(3553) s(3545) =< s(3553) s(3561) =< s(3553) s(3562) =< s(3553) s(3560) =< s(3553) s(3543) =< s(3553) s(3563) =< s(3553) s(3564) =< s(3558) s(3565) =< s(3553) s(3559) =< s(3553) s(3565) =< s(3557) s(3559) =< s(3557) s(3545) =< s(3557) s(3561) =< s(3557) s(3562) =< s(3557) s(3560) =< s(3557) s(3561) =< s(3547) s(3563) =< s(3547) s(3566) =< s(3549) s(3561) =< s(3549) s(3562) =< s(3549) s(3560) =< s(3549) s(3543) =< s(3549) s(3563) =< s(3549) s(3566) =< s(3557) s(3567) =< s(3550) s(3563) =< s(3550) s(3567) =< s(3558) s(3568) =< s(3551)*(1/4) s(3569) =< s(3551)*(1/2) s(3570) =< s(3541) s(3571) =< s(3541)*2 s(3572) =< s(3551) s(3573) =< s(3566)*(1/2) s(3574) =< s(3567)*(1/4) s(3575) =< s(3567)*(1/2) s(3576) =< s(3564)*(1/4) s(3577) =< s(3564)*(1/2) s(3578) =< s(3565)*(1/2) s(3579) =< s(3545)*s(3551) s(3580) =< s(3546)*s(3551) s(3581) =< s(3546)*s(3541) s(3582) =< s(3563)*s(3568) s(3583) =< s(3563)*s(3569) s(3584) =< s(3563)*s(3570) s(3585) =< s(3543)*s(3572) s(3586) =< s(3543)*s(3569) s(3587) =< s(3543)*s(3571) s(3588) =< s(3560)*s(3569) s(3589) =< s(3560)*s(3570) s(3590) =< s(3562)*s(3572) s(3591) =< s(3562)*s(3569) s(3592) =< s(3562)*s(3570) s(3593) =< s(3561)*s(3568) s(3594) =< s(3561)*s(3570) s(3595) =< s(3561)*s(3572) s(3596) =< s(3545)*s(3572) s(3597) =< s(3545)*s(3571) s(3598) =< s(3559)*s(3569) s(3599) =< s(3559)*s(3570) s(3600) =< s(3559)*s(3572) s(3601) =< s(3580)*(1/4) s(3602) =< s(3580)*(1/2) s(3603) =< s(3585)*(1/4) s(3604) =< s(3587)*(1/2) s(3605) =< s(3585)*(1/2) s(3606) =< s(3588)*(1/2) s(3607) =< s(3590)*(1/4) s(3608) =< s(3590)*(1/2) s(3609) =< s(3595)*(1/2) s(3610) =< s(3596)*(1/4) s(3611) =< s(3597)*(1/2) s(3612) =< s(3596)*(1/2) s(3613) =< s(3598)*(1/2) s(3614) =< s(3600)*(1/2) s(3615) =< s(3582) s(3616) =< s(3566) s(3617) =< s(3573) s(3618) =< s(3584) s(3619) =< s(3583) s(3619) =< s(3584) s(3620) =< s(3619)*2 s(3621) =< s(3619) s(3621) =< s(3620) s(3618) =< s(3583) s(3622) =< s(3583)*2 s(3623) =< s(3583) s(3623) =< s(3622) s(3624) =< s(3566) s(3624) =< s(3573) s(3625) =< s(3585) s(3626) =< s(3585) s(3627) =< s(3604) s(3628) =< s(3603) s(3629) =< s(3567) s(3630) =< s(3575) s(3631) =< s(3574) s(3625) =< s(3587) s(3626) =< s(3587) s(3630) =< s(3585) s(3632) =< s(3605) s(3632) =< s(3626) s(3633) =< s(3632)*2 s(3634) =< s(3632) s(3634) =< s(3633) s(3635) =< s(3605) s(3627) =< s(3605) s(3635) =< s(3586) s(3627) =< s(3586) s(3636) =< s(3635)*2 s(3637) =< s(3635) s(3637) =< s(3636) s(3638) =< s(3626) s(3638) =< s(3585) s(3629) =< s(3585) s(3639) =< s(3587) s(3639) =< s(3575) s(3640) =< s(3575) s(3640) =< s(3629) s(3639) =< s(3629) s(3641) =< s(3604) s(3642) =< s(3575) s(3642) =< s(3574) s(3643) =< s(3605) s(3641) =< s(3605) s(3643) =< s(3604) s(3644) =< s(3643)*2 s(3645) =< s(3643) s(3645) =< s(3644) s(3646) =< s(3587) s(3646) =< s(3575) s(3647) =< s(3646) s(3647) =< s(3629) s(3648) =< s(3589) s(3649) =< s(3606) s(3650) =< s(3576) s(3651) =< s(3564) s(3651) =< s(3577) s(3652) =< s(3588)*2 s(3653) =< s(3588) s(3653) =< s(3652) s(3648) =< s(3588) s(3654) =< s(3577) s(3654) =< s(3576) s(3655) =< s(3588) s(3655) =< s(3589) s(3656) =< s(3655)*2 s(3657) =< s(3655) s(3657) =< s(3656) s(3658) =< s(3590) s(3659) =< s(3592) s(3660) =< s(3607) s(3661) =< s(3565) s(3662) =< s(3578) s(3663) =< s(3590) s(3663) =< s(3608) s(3664) =< s(3608) s(3664) =< s(3663) s(3665) =< s(3664)*2 s(3666) =< s(3664) s(3666) =< s(3665) s(3667) =< s(3592) s(3668) =< s(3565) s(3668) =< s(3578) s(3669) =< s(3608) s(3667) =< s(3608) s(3669) =< s(3592) s(3670) =< s(3669)*2 s(3671) =< s(3669) s(3671) =< s(3670) s(3661) =< s(3590) s(3672) =< s(3608) s(3659) =< s(3608) s(3672) =< s(3591) s(3659) =< s(3591) s(3673) =< s(3672)*2 s(3674) =< s(3672) s(3674) =< s(3673) s(3675) =< s(3593) s(3676) =< s(3573) s(3677) =< s(3595) s(3676) =< s(3595) s(3677) =< s(3609) s(3678) =< s(3594) s(3679) =< s(3609) s(3679) =< s(3594) s(3680) =< s(3679)*2 s(3681) =< s(3679) s(3681) =< s(3680) s(3682) =< s(3609) s(3678) =< s(3609) s(3682) =< s(3677) s(3678) =< s(3677) s(3683) =< s(3682)*2 s(3684) =< s(3682) s(3684) =< s(3683) s(3685) =< s(3595) s(3686) =< s(3595) s(3687) =< s(3594) s(3685) =< s(3566) s(3686) =< s(3573) s(3688) =< s(3573) s(3688) =< s(3685) s(3686) =< s(3685) s(3687) =< s(3609) s(3687) =< s(3595) s(3689) =< s(3677)*2 s(3690) =< s(3677) s(3690) =< s(3689) s(3691) =< s(3595) s(3691) =< s(3573) s(3692) =< s(3691) s(3692) =< s(3685) s(3693) =< s(3579) s(3694) =< s(3579) s(3695) =< s(3611) s(3696) =< s(3611) s(3697) =< s(3610) s(3698) =< s(3566) s(3699) =< s(3573) s(3700) =< s(3596) s(3699) =< s(3596) s(3701) =< s(3596) s(3693) =< s(3597) s(3701) =< s(3597) s(3700) =< s(3612) s(3698) =< s(3596) s(3693) =< s(3596) s(3702) =< s(3612) s(3702) =< s(3701) s(3703) =< s(3702)*2 s(3704) =< s(3702) s(3704) =< s(3703) s(3705) =< s(3612) s(3695) =< s(3612) s(3705) =< s(3700) s(3695) =< s(3700) s(3706) =< s(3705)*2 s(3707) =< s(3705) s(3707) =< s(3706) s(3694) =< s(3597) s(3708) =< s(3694) s(3708) =< s(3596) s(3709) =< s(3596) s(3710) =< s(3596) s(3709) =< s(3566) s(3710) =< s(3573) s(3711) =< s(3573) s(3711) =< s(3709) s(3710) =< s(3709) s(3696) =< s(3612) s(3696) =< s(3596) s(3712) =< s(3700)*2 s(3713) =< s(3700) s(3713) =< s(3712) s(3714) =< s(3596) s(3714) =< s(3573) s(3715) =< s(3714) s(3715) =< s(3709) s(3716) =< s(3599) s(3717) =< s(3599) s(3718) =< s(3613) s(3719) =< s(3576) s(3720) =< s(3600) s(3719) =< s(3600) s(3720) =< s(3614) s(3721) =< s(3614) s(3721) =< s(3598) s(3722) =< s(3721)*2 s(3723) =< s(3721) s(3723) =< s(3722) s(3724) =< s(3614) s(3716) =< s(3614) s(3724) =< s(3720) s(3716) =< s(3720) s(3725) =< s(3724)*2 s(3726) =< s(3724) s(3726) =< s(3725) s(3727) =< s(3600) s(3728) =< s(3600) s(3727) =< s(3577) s(3728) =< s(3576) s(3729) =< s(3576) s(3729) =< s(3727) s(3728) =< s(3727) s(3717) =< s(3614) s(3717) =< s(3600) s(3730) =< s(3720)*2 s(3731) =< s(3720) s(3731) =< s(3730) s(3732) =< s(3600) s(3732) =< s(3576) s(3733) =< s(3732) s(3733) =< s(3727) s(3734) =< s(3580) s(3735) =< s(3581) s(3736) =< s(3581) s(3737) =< s(3601) s(3738) =< s(3565) s(3739) =< s(3578) s(3740) =< s(3580) s(3739) =< s(3580) s(3740) =< s(3602) s(3741) =< s(3602) s(3741) =< s(3740) s(3742) =< s(3741)*2 s(3743) =< s(3741) s(3743) =< s(3742) s(3735) =< s(3602) s(3735) =< s(3740) s(3738) =< s(3580) s(3744) =< s(3580) s(3744) =< s(3578) s(3745) =< s(3578) s(3745) =< s(3738) s(3744) =< s(3738) s(3736) =< s(3602) s(3736) =< s(3580) s(3746) =< s(3740)*2 s(3747) =< s(3740) s(3747) =< s(3746) s(3748) =< s(3580) s(3748) =< s(3578) s(3749) =< s(3748) s(3749) =< s(3738) with precondition: [V_n>=5] * Chain [109]: 1*s(3751)+1*s(3752)+1*s(3753)+1*s(3762)+6*s(3763)+1*s(3764)+2*s(3765)+1*s(3766)+1*s(3767)+3*s(3816)+6*s(3817)+1*s(3818)+3*s(3819)+30*s(3822)+6*s(3824)+6*s(3825)+1*s(3826)+2*s(3828)+6*s(3829)+3*s(3831)+2*s(3832)+36*s(3835)+12*s(3838)+2*s(3839)+2*s(3840)+6*s(3841)+4*s(3842)+12*s(3843)+24*s(3846)+4*s(3848)+6*s(3849)+6*s(3850)+2*s(3851)+36*s(3852)+48*s(3854)+12*s(3855)+24*s(3858)+2*s(3859)+1*s(3860)+3*s(3861)+1*s(3862)+1*s(3863)+18*s(3867)+2*s(3868)+6*s(3869)+12*s(3872)+6*s(3875)+3*s(3876)+1*s(3877)+1*s(3879)+18*s(3882)+6*s(3885)+1*s(3887)+2*s(3888)+3*s(3889)+12*s(3891)+2*s(3893)+3*s(3894)+2*s(3896)+4*s(3897)+6*s(3898)+9*s(3899)+2*s(3900)+36*s(3905)+12*s(3908)+6*s(3909)+2*s(3911)+6*s(3912)+24*s(3914)+4*s(3916)+2*s(3917)+4*s(3918)+6*s(3919)+2*s(3920)+36*s(3924)+12*s(3927)+2*s(3929)+6*s(3930)+24*s(3932)+4*s(3934)+3*s(3935)+1*s(3936)+2*s(3937)+3*s(3938)+1*s(3940)+24*s(3944)+1*s(3945)+3*s(3946)+12*s(3948)+2*s(3950)+0 Such that:s(3757) =< V_n s(3758) =< V_n/2 s(3750) =< V_n/3 s(3759) =< V_n/6 s(3751) =< V_n/9 s(3760) =< V_n/12 s(3752) =< V_n/18 s(3753) =< V_n/24 s(3761) =< 2/3*V_n s(3754) =< 2/9*V_n s(3755) =< 4/9*V_n s(3756) =< 8/9*V_n s(3762) =< s(3757) s(3763) =< s(3757) s(3763) =< s(3758) s(3764) =< s(3759) s(3765) =< s(3759) s(3764) =< s(3761) s(3752) =< s(3761) s(3766) =< s(3761) s(3765) =< s(3761) s(3751) =< s(3761) s(3767) =< s(3761) s(3751) =< s(3750) s(3767) =< s(3750) s(3753) =< s(3760) s(3764) =< s(3760) s(3752) =< s(3760) s(3766) =< s(3760) s(3765) =< s(3760) s(3751) =< s(3760) s(3767) =< s(3760) s(3753) =< s(3759) s(3752) =< s(3759) s(3766) =< s(3759) s(3751) =< s(3759) s(3767) =< s(3759) s(3768) =< s(3761) s(3768) =< s(3750) s(3764) =< s(3750) s(3752) =< s(3750) s(3766) =< s(3750) s(3765) =< s(3750) s(3766) =< s(3754) s(3767) =< s(3754) s(3769) =< s(3755) s(3766) =< s(3755) s(3765) =< s(3755) s(3751) =< s(3755) s(3767) =< s(3755) s(3769) =< s(3750) s(3770) =< s(3756) s(3767) =< s(3756) s(3770) =< s(3761) s(3771) =< s(3757)*(1/4) s(3772) =< s(3757)*(1/2) s(3773) =< s(3758) s(3774) =< s(3758)*2 s(3775) =< s(3757) s(3776) =< s(3769)*(1/2) s(3777) =< s(3770)*(1/4) s(3778) =< s(3770)*(1/2) s(3779) =< s(3761)*(1/4) s(3780) =< s(3761)*(1/2) s(3781) =< s(3768)*(1/2) s(3782) =< s(3752)*s(3757) s(3783) =< s(3753)*s(3757) s(3784) =< s(3753)*s(3758) s(3785) =< s(3767)*s(3771) s(3786) =< s(3767)*s(3772) s(3787) =< s(3767)*s(3773) s(3788) =< s(3751)*s(3775) s(3789) =< s(3751)*s(3772) s(3790) =< s(3751)*s(3774) s(3791) =< s(3765)*s(3772) s(3792) =< s(3765)*s(3773) s(3793) =< s(3765)*s(3775) s(3794) =< s(3766)*s(3771) s(3795) =< s(3766)*s(3773) s(3796) =< s(3766)*s(3775) s(3797) =< s(3752)*s(3775) s(3798) =< s(3752)*s(3774) s(3799) =< s(3764)*s(3772) s(3800) =< s(3764)*s(3773) s(3801) =< s(3764)*s(3775) s(3802) =< s(3783)*(1/4) s(3803) =< s(3783)*(1/2) s(3804) =< s(3788)*(1/4) s(3805) =< s(3790)*(1/2) s(3806) =< s(3788)*(1/2) s(3807) =< s(3791)*(1/2) s(3808) =< s(3793)*(1/4) s(3809) =< s(3793)*(1/2) s(3810) =< s(3796)*(1/2) s(3811) =< s(3797)*(1/4) s(3812) =< s(3798)*(1/2) s(3813) =< s(3797)*(1/2) s(3814) =< s(3799)*(1/2) s(3815) =< s(3801)*(1/2) s(3816) =< s(3785) s(3817) =< s(3769) s(3818) =< s(3776) s(3819) =< s(3787) s(3820) =< s(3786) s(3820) =< s(3787) s(3821) =< s(3820)*2 s(3822) =< s(3820) s(3822) =< s(3821) s(3819) =< s(3786) s(3823) =< s(3786)*2 s(3824) =< s(3786) s(3824) =< s(3823) s(3825) =< s(3769) s(3825) =< s(3776) s(3826) =< s(3788) s(3827) =< s(3788) s(3828) =< s(3805) s(3829) =< s(3804) s(3830) =< s(3770) s(3831) =< s(3778) s(3832) =< s(3777) s(3826) =< s(3790) s(3827) =< s(3790) s(3831) =< s(3788) s(3833) =< s(3806) s(3833) =< s(3827) s(3834) =< s(3833)*2 s(3835) =< s(3833) s(3835) =< s(3834) s(3836) =< s(3806) s(3828) =< s(3806) s(3836) =< s(3789) s(3828) =< s(3789) s(3837) =< s(3836)*2 s(3838) =< s(3836) s(3838) =< s(3837) s(3839) =< s(3827) s(3839) =< s(3788) s(3830) =< s(3788) s(3840) =< s(3790) s(3840) =< s(3778) s(3841) =< s(3778) s(3841) =< s(3830) s(3840) =< s(3830) s(3842) =< s(3805) s(3843) =< s(3778) s(3843) =< s(3777) s(3844) =< s(3806) s(3842) =< s(3806) s(3844) =< s(3805) s(3845) =< s(3844)*2 s(3846) =< s(3844) s(3846) =< s(3845) s(3847) =< s(3790) s(3847) =< s(3778) s(3848) =< s(3847) s(3848) =< s(3830) s(3849) =< s(3792) s(3850) =< s(3807) s(3851) =< s(3779) s(3852) =< s(3761) s(3852) =< s(3780) s(3853) =< s(3791)*2 s(3854) =< s(3791) s(3854) =< s(3853) s(3849) =< s(3791) s(3855) =< s(3780) s(3855) =< s(3779) s(3856) =< s(3791) s(3856) =< s(3792) s(3857) =< s(3856)*2 s(3858) =< s(3856) s(3858) =< s(3857) s(3859) =< s(3793) s(3860) =< s(3792) s(3861) =< s(3808) s(3862) =< s(3768) s(3863) =< s(3781) s(3864) =< s(3793) s(3864) =< s(3809) s(3865) =< s(3809) s(3865) =< s(3864) s(3866) =< s(3865)*2 s(3867) =< s(3865) s(3867) =< s(3866) s(3868) =< s(3792) s(3869) =< s(3768) s(3869) =< s(3781) s(3870) =< s(3809) s(3868) =< s(3809) s(3870) =< s(3792) s(3871) =< s(3870)*2 s(3872) =< s(3870) s(3872) =< s(3871) s(3862) =< s(3793) s(3873) =< s(3809) s(3860) =< s(3809) s(3873) =< s(3791) s(3860) =< s(3791) s(3874) =< s(3873)*2 s(3875) =< s(3873) s(3875) =< s(3874) s(3876) =< s(3794) s(3877) =< s(3776) s(3878) =< s(3796) s(3877) =< s(3796) s(3878) =< s(3810) s(3879) =< s(3795) s(3880) =< s(3810) s(3880) =< s(3795) s(3881) =< s(3880)*2 s(3882) =< s(3880) s(3882) =< s(3881) s(3883) =< s(3810) s(3879) =< s(3810) s(3883) =< s(3878) s(3879) =< s(3878) s(3884) =< s(3883)*2 s(3885) =< s(3883) s(3885) =< s(3884) s(3886) =< s(3796) s(3887) =< s(3796) s(3888) =< s(3795) s(3886) =< s(3769) s(3887) =< s(3776) s(3889) =< s(3776) s(3889) =< s(3886) s(3887) =< s(3886) s(3888) =< s(3810) s(3888) =< s(3796) s(3890) =< s(3878)*2 s(3891) =< s(3878) s(3891) =< s(3890) s(3892) =< s(3796) s(3892) =< s(3776) s(3893) =< s(3892) s(3893) =< s(3886) s(3894) =< s(3782) s(3895) =< s(3782) s(3896) =< s(3812) s(3897) =< s(3812) s(3898) =< s(3811) s(3899) =< s(3769) s(3900) =< s(3776) s(3901) =< s(3797) s(3900) =< s(3797) s(3902) =< s(3797) s(3894) =< s(3798) s(3902) =< s(3798) s(3901) =< s(3813) s(3899) =< s(3797) s(3894) =< s(3797) s(3903) =< s(3813) s(3903) =< s(3902) s(3904) =< s(3903)*2 s(3905) =< s(3903) s(3905) =< s(3904) s(3906) =< s(3813) s(3896) =< s(3813) s(3906) =< s(3901) s(3896) =< s(3901) s(3907) =< s(3906)*2 s(3908) =< s(3906) s(3908) =< s(3907) s(3895) =< s(3798) s(3909) =< s(3895) s(3909) =< s(3797) s(3910) =< s(3797) s(3911) =< s(3797) s(3910) =< s(3769) s(3911) =< s(3776) s(3912) =< s(3776) s(3912) =< s(3910) s(3911) =< s(3910) s(3897) =< s(3813) s(3897) =< s(3797) s(3913) =< s(3901)*2 s(3914) =< s(3901) s(3914) =< s(3913) s(3915) =< s(3797) s(3915) =< s(3776) s(3916) =< s(3915) s(3916) =< s(3910) s(3917) =< s(3800) s(3918) =< s(3800) s(3919) =< s(3814) s(3920) =< s(3779) s(3921) =< s(3801) s(3920) =< s(3801) s(3921) =< s(3815) s(3922) =< s(3815) s(3922) =< s(3799) s(3923) =< s(3922)*2 s(3924) =< s(3922) s(3924) =< s(3923) s(3925) =< s(3815) s(3917) =< s(3815) s(3925) =< s(3921) s(3917) =< s(3921) s(3926) =< s(3925)*2 s(3927) =< s(3925) s(3927) =< s(3926) s(3928) =< s(3801) s(3929) =< s(3801) s(3928) =< s(3780) s(3929) =< s(3779) s(3930) =< s(3779) s(3930) =< s(3928) s(3929) =< s(3928) s(3918) =< s(3815) s(3918) =< s(3801) s(3931) =< s(3921)*2 s(3932) =< s(3921) s(3932) =< s(3931) s(3933) =< s(3801) s(3933) =< s(3779) s(3934) =< s(3933) s(3934) =< s(3928) s(3935) =< s(3783) s(3936) =< s(3784) s(3937) =< s(3784) s(3938) =< s(3802) s(3939) =< s(3768) s(3940) =< s(3781) s(3941) =< s(3783) s(3940) =< s(3783) s(3941) =< s(3803) s(3942) =< s(3803) s(3942) =< s(3941) s(3943) =< s(3942)*2 s(3944) =< s(3942) s(3944) =< s(3943) s(3936) =< s(3803) s(3936) =< s(3941) s(3939) =< s(3783) s(3945) =< s(3783) s(3945) =< s(3781) s(3946) =< s(3781) s(3946) =< s(3939) s(3945) =< s(3939) s(3937) =< s(3803) s(3937) =< s(3783) s(3947) =< s(3941)*2 s(3948) =< s(3941) s(3948) =< s(3947) s(3949) =< s(3783) s(3949) =< s(3781) s(3950) =< s(3949) s(3950) =< s(3939) with precondition: [V_n>=8] * Chain [108]: 1*s(3953)+1*s(3955)+1*s(3956)+6*s(3965)+2*s(3966)+2*s(3967)+12*s(3970)+1*s(3971)+1*s(3972)+1*s(3973)+1*s(3974)+1*s(3975)+3*s(4027)+6*s(4028)+1*s(4029)+3*s(4030)+30*s(4033)+6*s(4035)+6*s(4036)+1*s(4037)+2*s(4039)+6*s(4040)+3*s(4042)+2*s(4043)+36*s(4046)+12*s(4049)+2*s(4050)+2*s(4051)+6*s(4052)+4*s(4053)+12*s(4054)+24*s(4057)+4*s(4059)+6*s(4060)+6*s(4061)+2*s(4062)+36*s(4063)+48*s(4065)+12*s(4066)+24*s(4069)+2*s(4070)+1*s(4071)+3*s(4072)+1*s(4073)+1*s(4074)+18*s(4078)+2*s(4079)+6*s(4080)+12*s(4083)+6*s(4086)+3*s(4087)+1*s(4088)+1*s(4090)+18*s(4093)+6*s(4096)+1*s(4098)+2*s(4099)+3*s(4100)+12*s(4102)+2*s(4104)+3*s(4105)+2*s(4107)+4*s(4108)+6*s(4109)+9*s(4110)+2*s(4111)+36*s(4116)+12*s(4119)+6*s(4120)+2*s(4122)+6*s(4123)+24*s(4125)+4*s(4127)+2*s(4128)+4*s(4129)+6*s(4130)+2*s(4131)+36*s(4135)+12*s(4138)+2*s(4140)+6*s(4141)+24*s(4143)+4*s(4145)+3*s(4146)+1*s(4147)+2*s(4148)+3*s(4149)+1*s(4151)+24*s(4155)+1*s(4156)+3*s(4157)+12*s(4159)+2*s(4161)+0 Such that:s(3960) =< V_n s(3951) =< 2*V_n s(3961) =< V_n/2 s(3952) =< V_n/6 s(3953) =< V_n/9 s(3954) =< V_n/12 s(3955) =< V_n/18 s(3956) =< V_n/24 s(3962) =< 2/3*V_n s(3957) =< 2/9*V_n s(3958) =< 4/9*V_n s(3959) =< 8/9*V_n s(3963) =< s(3960) s(3963) =< s(3961) s(3965) =< s(3960) s(3966) =< s(3963) s(3967) =< s(3963) s(3967) =< s(3960) s(3968) =< s(3961) s(3966) =< s(3961) s(3968) =< s(3963) s(3969) =< s(3968)*2 s(3970) =< s(3968) s(3970) =< s(3969) s(3971) =< s(3952) s(3972) =< s(3952) s(3971) =< s(3951) s(3955) =< s(3951) s(3973) =< s(3951) s(3974) =< s(3951) s(3972) =< s(3951) s(3953) =< s(3951) s(3975) =< s(3951) s(3953) =< s(3960) s(3975) =< s(3960) s(3956) =< s(3954) s(3971) =< s(3954) s(3955) =< s(3954) s(3973) =< s(3954) s(3974) =< s(3954) s(3972) =< s(3954) s(3953) =< s(3954) s(3975) =< s(3954) s(3956) =< s(3963) s(3971) =< s(3963) s(3955) =< s(3963) s(3973) =< s(3963) s(3974) =< s(3963) s(3972) =< s(3963) s(3953) =< s(3963) s(3975) =< s(3963) s(3976) =< s(3962) s(3955) =< s(3962) s(3973) =< s(3962) s(3974) =< s(3962) s(3972) =< s(3962) s(3953) =< s(3962) s(3975) =< s(3962) s(3976) =< s(3951) s(3977) =< s(3962) s(3971) =< s(3962) s(3977) =< s(3960) s(3971) =< s(3960) s(3955) =< s(3960) s(3973) =< s(3960) s(3974) =< s(3960) s(3972) =< s(3960) s(3973) =< s(3957) s(3975) =< s(3957) s(3978) =< s(3958) s(3973) =< s(3958) s(3974) =< s(3958) s(3972) =< s(3958) s(3953) =< s(3958) s(3975) =< s(3958) s(3978) =< s(3960) s(3979) =< s(3959) s(3975) =< s(3959) s(3979) =< s(3951) s(3980) =< s(3960)*(1/4) s(3981) =< s(3960)*(1/2) s(3982) =< s(3961) s(3983) =< s(3961)*2 s(3984) =< s(3960) s(3985) =< s(3978)*(1/2) s(3986) =< s(3979)*(1/4) s(3987) =< s(3979)*(1/2) s(3988) =< s(3976)*(1/4) s(3989) =< s(3976)*(1/2) s(3990) =< s(3977)*(1/2) s(3991) =< s(3955)*s(3960) s(3992) =< s(3956)*s(3960) s(3993) =< s(3956)*s(3961) s(3994) =< s(3975)*s(3980) s(3995) =< s(3975)*s(3981) s(3996) =< s(3975)*s(3982) s(3997) =< s(3953)*s(3984) s(3998) =< s(3953)*s(3981) s(3999) =< s(3953)*s(3983) s(4000) =< s(3972)*s(3981) s(4001) =< s(3972)*s(3982) s(4002) =< s(3974)*s(3984) s(4003) =< s(3974)*s(3981) s(4004) =< s(3974)*s(3982) s(4005) =< s(3973)*s(3980) s(4006) =< s(3973)*s(3982) s(4007) =< s(3973)*s(3984) s(4008) =< s(3955)*s(3984) s(4009) =< s(3955)*s(3983) s(4010) =< s(3971)*s(3981) s(4011) =< s(3971)*s(3982) s(4012) =< s(3971)*s(3984) s(4013) =< s(3992)*(1/4) s(4014) =< s(3992)*(1/2) s(4015) =< s(3997)*(1/4) s(4016) =< s(3999)*(1/2) s(4017) =< s(3997)*(1/2) s(4018) =< s(4000)*(1/2) s(4019) =< s(4002)*(1/4) s(4020) =< s(4002)*(1/2) s(4021) =< s(4007)*(1/2) s(4022) =< s(4008)*(1/4) s(4023) =< s(4009)*(1/2) s(4024) =< s(4008)*(1/2) s(4025) =< s(4010)*(1/2) s(4026) =< s(4012)*(1/2) s(4027) =< s(3994) s(4028) =< s(3978) s(4029) =< s(3985) s(4030) =< s(3996) s(4031) =< s(3995) s(4031) =< s(3996) s(4032) =< s(4031)*2 s(4033) =< s(4031) s(4033) =< s(4032) s(4030) =< s(3995) s(4034) =< s(3995)*2 s(4035) =< s(3995) s(4035) =< s(4034) s(4036) =< s(3978) s(4036) =< s(3985) s(4037) =< s(3997) s(4038) =< s(3997) s(4039) =< s(4016) s(4040) =< s(4015) s(4041) =< s(3979) s(4042) =< s(3987) s(4043) =< s(3986) s(4037) =< s(3999) s(4038) =< s(3999) s(4042) =< s(3997) s(4044) =< s(4017) s(4044) =< s(4038) s(4045) =< s(4044)*2 s(4046) =< s(4044) s(4046) =< s(4045) s(4047) =< s(4017) s(4039) =< s(4017) s(4047) =< s(3998) s(4039) =< s(3998) s(4048) =< s(4047)*2 s(4049) =< s(4047) s(4049) =< s(4048) s(4050) =< s(4038) s(4050) =< s(3997) s(4041) =< s(3997) s(4051) =< s(3999) s(4051) =< s(3987) s(4052) =< s(3987) s(4052) =< s(4041) s(4051) =< s(4041) s(4053) =< s(4016) s(4054) =< s(3987) s(4054) =< s(3986) s(4055) =< s(4017) s(4053) =< s(4017) s(4055) =< s(4016) s(4056) =< s(4055)*2 s(4057) =< s(4055) s(4057) =< s(4056) s(4058) =< s(3999) s(4058) =< s(3987) s(4059) =< s(4058) s(4059) =< s(4041) s(4060) =< s(4001) s(4061) =< s(4018) s(4062) =< s(3988) s(4063) =< s(3976) s(4063) =< s(3989) s(4064) =< s(4000)*2 s(4065) =< s(4000) s(4065) =< s(4064) s(4060) =< s(4000) s(4066) =< s(3989) s(4066) =< s(3988) s(4067) =< s(4000) s(4067) =< s(4001) s(4068) =< s(4067)*2 s(4069) =< s(4067) s(4069) =< s(4068) s(4070) =< s(4002) s(4071) =< s(4004) s(4072) =< s(4019) s(4073) =< s(3977) s(4074) =< s(3990) s(4075) =< s(4002) s(4075) =< s(4020) s(4076) =< s(4020) s(4076) =< s(4075) s(4077) =< s(4076)*2 s(4078) =< s(4076) s(4078) =< s(4077) s(4079) =< s(4004) s(4080) =< s(3977) s(4080) =< s(3990) s(4081) =< s(4020) s(4079) =< s(4020) s(4081) =< s(4004) s(4082) =< s(4081)*2 s(4083) =< s(4081) s(4083) =< s(4082) s(4073) =< s(4002) s(4084) =< s(4020) s(4071) =< s(4020) s(4084) =< s(4003) s(4071) =< s(4003) s(4085) =< s(4084)*2 s(4086) =< s(4084) s(4086) =< s(4085) s(4087) =< s(4005) s(4088) =< s(3985) s(4089) =< s(4007) s(4088) =< s(4007) s(4089) =< s(4021) s(4090) =< s(4006) s(4091) =< s(4021) s(4091) =< s(4006) s(4092) =< s(4091)*2 s(4093) =< s(4091) s(4093) =< s(4092) s(4094) =< s(4021) s(4090) =< s(4021) s(4094) =< s(4089) s(4090) =< s(4089) s(4095) =< s(4094)*2 s(4096) =< s(4094) s(4096) =< s(4095) s(4097) =< s(4007) s(4098) =< s(4007) s(4099) =< s(4006) s(4097) =< s(3978) s(4098) =< s(3985) s(4100) =< s(3985) s(4100) =< s(4097) s(4098) =< s(4097) s(4099) =< s(4021) s(4099) =< s(4007) s(4101) =< s(4089)*2 s(4102) =< s(4089) s(4102) =< s(4101) s(4103) =< s(4007) s(4103) =< s(3985) s(4104) =< s(4103) s(4104) =< s(4097) s(4105) =< s(3991) s(4106) =< s(3991) s(4107) =< s(4023) s(4108) =< s(4023) s(4109) =< s(4022) s(4110) =< s(3978) s(4111) =< s(3985) s(4112) =< s(4008) s(4111) =< s(4008) s(4113) =< s(4008) s(4105) =< s(4009) s(4113) =< s(4009) s(4112) =< s(4024) s(4110) =< s(4008) s(4105) =< s(4008) s(4114) =< s(4024) s(4114) =< s(4113) s(4115) =< s(4114)*2 s(4116) =< s(4114) s(4116) =< s(4115) s(4117) =< s(4024) s(4107) =< s(4024) s(4117) =< s(4112) s(4107) =< s(4112) s(4118) =< s(4117)*2 s(4119) =< s(4117) s(4119) =< s(4118) s(4106) =< s(4009) s(4120) =< s(4106) s(4120) =< s(4008) s(4121) =< s(4008) s(4122) =< s(4008) s(4121) =< s(3978) s(4122) =< s(3985) s(4123) =< s(3985) s(4123) =< s(4121) s(4122) =< s(4121) s(4108) =< s(4024) s(4108) =< s(4008) s(4124) =< s(4112)*2 s(4125) =< s(4112) s(4125) =< s(4124) s(4126) =< s(4008) s(4126) =< s(3985) s(4127) =< s(4126) s(4127) =< s(4121) s(4128) =< s(4011) s(4129) =< s(4011) s(4130) =< s(4025) s(4131) =< s(3988) s(4132) =< s(4012) s(4131) =< s(4012) s(4132) =< s(4026) s(4133) =< s(4026) s(4133) =< s(4010) s(4134) =< s(4133)*2 s(4135) =< s(4133) s(4135) =< s(4134) s(4136) =< s(4026) s(4128) =< s(4026) s(4136) =< s(4132) s(4128) =< s(4132) s(4137) =< s(4136)*2 s(4138) =< s(4136) s(4138) =< s(4137) s(4139) =< s(4012) s(4140) =< s(4012) s(4139) =< s(3989) s(4140) =< s(3988) s(4141) =< s(3988) s(4141) =< s(4139) s(4140) =< s(4139) s(4129) =< s(4026) s(4129) =< s(4012) s(4142) =< s(4132)*2 s(4143) =< s(4132) s(4143) =< s(4142) s(4144) =< s(4012) s(4144) =< s(3988) s(4145) =< s(4144) s(4145) =< s(4139) s(4146) =< s(3992) s(4147) =< s(3993) s(4148) =< s(3993) s(4149) =< s(4013) s(4150) =< s(3977) s(4151) =< s(3990) s(4152) =< s(3992) s(4151) =< s(3992) s(4152) =< s(4014) s(4153) =< s(4014) s(4153) =< s(4152) s(4154) =< s(4153)*2 s(4155) =< s(4153) s(4155) =< s(4154) s(4147) =< s(4014) s(4147) =< s(4152) s(4150) =< s(3992) s(4156) =< s(3992) s(4156) =< s(3990) s(4157) =< s(3990) s(4157) =< s(4150) s(4156) =< s(4150) s(4148) =< s(4014) s(4148) =< s(3992) s(4158) =< s(4152)*2 s(4159) =< s(4152) s(4159) =< s(4158) s(4160) =< s(3992) s(4160) =< s(3990) s(4161) =< s(4160) s(4161) =< s(4150) with precondition: [V_n>=9] * Chain [107]: 1*s(4164)+1*s(4166)+1*s(4167)+6*s(4178)+2*s(4179)+2*s(4180)+12*s(4182)+1*s(4183)+1*s(4184)+1*s(4185)+1*s(4186)+1*s(4187)+3*s(4239)+6*s(4240)+1*s(4241)+3*s(4242)+30*s(4245)+6*s(4247)+6*s(4248)+1*s(4249)+2*s(4251)+6*s(4252)+3*s(4254)+2*s(4255)+36*s(4258)+12*s(4261)+2*s(4262)+2*s(4263)+6*s(4264)+4*s(4265)+12*s(4266)+24*s(4269)+4*s(4271)+6*s(4272)+6*s(4273)+2*s(4274)+36*s(4275)+48*s(4277)+12*s(4278)+24*s(4281)+2*s(4282)+1*s(4283)+3*s(4284)+1*s(4285)+1*s(4286)+18*s(4290)+2*s(4291)+6*s(4292)+12*s(4295)+6*s(4298)+3*s(4299)+1*s(4300)+1*s(4302)+18*s(4305)+6*s(4308)+1*s(4310)+2*s(4311)+3*s(4312)+12*s(4314)+2*s(4316)+3*s(4317)+2*s(4319)+4*s(4320)+6*s(4321)+9*s(4322)+2*s(4323)+36*s(4328)+12*s(4331)+6*s(4332)+2*s(4334)+6*s(4335)+24*s(4337)+4*s(4339)+2*s(4340)+4*s(4341)+6*s(4342)+2*s(4343)+36*s(4347)+12*s(4350)+2*s(4352)+6*s(4353)+24*s(4355)+4*s(4357)+3*s(4358)+1*s(4359)+2*s(4360)+3*s(4361)+1*s(4363)+24*s(4367)+1*s(4368)+3*s(4369)+12*s(4371)+2*s(4373)+0 Such that:s(4171) =< V_n s(4172) =< 2*V_n s(4162) =< 4*V_n s(4173) =< V_n/2 s(4163) =< V_n/6 s(4164) =< V_n/9 s(4165) =< V_n/12 s(4166) =< V_n/18 s(4167) =< V_n/24 s(4174) =< 2/3*V_n s(4168) =< 2/9*V_n s(4169) =< 4/9*V_n s(4170) =< 8/9*V_n s(4175) =< s(4173) s(4175) =< s(4171) s(4176) =< s(4171) s(4177) =< s(4172) s(4176) =< s(4172) s(4177) =< s(4162) s(4178) =< s(4171) s(4179) =< s(4175) s(4180) =< s(4175) s(4179) =< s(4173) s(4179) =< s(4171) s(4181) =< s(4175)*2 s(4182) =< s(4175) s(4182) =< s(4181) s(4183) =< s(4163) s(4184) =< s(4163) s(4183) =< s(4177) s(4166) =< s(4177) s(4185) =< s(4177) s(4186) =< s(4177) s(4184) =< s(4177) s(4164) =< s(4177) s(4187) =< s(4177) s(4164) =< s(4176) s(4187) =< s(4176) s(4167) =< s(4165) s(4183) =< s(4165) s(4166) =< s(4165) s(4185) =< s(4165) s(4186) =< s(4165) s(4184) =< s(4165) s(4164) =< s(4165) s(4187) =< s(4165) s(4167) =< s(4171) s(4183) =< s(4171) s(4166) =< s(4171) s(4185) =< s(4171) s(4186) =< s(4171) s(4184) =< s(4171) s(4164) =< s(4171) s(4187) =< s(4171) s(4167) =< s(4175) s(4183) =< s(4175) s(4166) =< s(4175) s(4185) =< s(4175) s(4188) =< s(4174) s(4166) =< s(4174) s(4185) =< s(4174) s(4186) =< s(4174) s(4184) =< s(4174) s(4164) =< s(4174) s(4187) =< s(4174) s(4188) =< s(4177) s(4189) =< s(4174) s(4183) =< s(4174) s(4189) =< s(4176) s(4183) =< s(4176) s(4166) =< s(4176) s(4185) =< s(4176) s(4186) =< s(4176) s(4184) =< s(4176) s(4185) =< s(4168) s(4187) =< s(4168) s(4190) =< s(4169) s(4185) =< s(4169) s(4186) =< s(4169) s(4184) =< s(4169) s(4164) =< s(4169) s(4187) =< s(4169) s(4190) =< s(4176) s(4191) =< s(4170) s(4187) =< s(4170) s(4191) =< s(4172) s(4187) =< s(4172) s(4192) =< s(4171)*(1/4) s(4193) =< s(4171)*(1/2) s(4194) =< s(4173) s(4195) =< s(4173)*2 s(4196) =< s(4171) s(4197) =< s(4190)*(1/2) s(4198) =< s(4191)*(1/4) s(4199) =< s(4191)*(1/2) s(4200) =< s(4188)*(1/4) s(4201) =< s(4188)*(1/2) s(4202) =< s(4189)*(1/2) s(4203) =< s(4166)*s(4171) s(4204) =< s(4167)*s(4171) s(4205) =< s(4167)*s(4173) s(4206) =< s(4187)*s(4192) s(4207) =< s(4187)*s(4193) s(4208) =< s(4187)*s(4194) s(4209) =< s(4164)*s(4196) s(4210) =< s(4164)*s(4193) s(4211) =< s(4164)*s(4195) s(4212) =< s(4184)*s(4193) s(4213) =< s(4184)*s(4194) s(4214) =< s(4186)*s(4196) s(4215) =< s(4186)*s(4193) s(4216) =< s(4186)*s(4194) s(4217) =< s(4185)*s(4192) s(4218) =< s(4185)*s(4194) s(4219) =< s(4185)*s(4196) s(4220) =< s(4166)*s(4196) s(4221) =< s(4166)*s(4195) s(4222) =< s(4183)*s(4193) s(4223) =< s(4183)*s(4194) s(4224) =< s(4183)*s(4196) s(4225) =< s(4204)*(1/4) s(4226) =< s(4204)*(1/2) s(4227) =< s(4209)*(1/4) s(4228) =< s(4211)*(1/2) s(4229) =< s(4209)*(1/2) s(4230) =< s(4212)*(1/2) s(4231) =< s(4214)*(1/4) s(4232) =< s(4214)*(1/2) s(4233) =< s(4219)*(1/2) s(4234) =< s(4220)*(1/4) s(4235) =< s(4221)*(1/2) s(4236) =< s(4220)*(1/2) s(4237) =< s(4222)*(1/2) s(4238) =< s(4224)*(1/2) s(4239) =< s(4206) s(4240) =< s(4190) s(4241) =< s(4197) s(4242) =< s(4208) s(4243) =< s(4207) s(4243) =< s(4208) s(4244) =< s(4243)*2 s(4245) =< s(4243) s(4245) =< s(4244) s(4242) =< s(4207) s(4246) =< s(4207)*2 s(4247) =< s(4207) s(4247) =< s(4246) s(4248) =< s(4190) s(4248) =< s(4197) s(4249) =< s(4209) s(4250) =< s(4209) s(4251) =< s(4228) s(4252) =< s(4227) s(4253) =< s(4191) s(4254) =< s(4199) s(4255) =< s(4198) s(4249) =< s(4211) s(4250) =< s(4211) s(4254) =< s(4209) s(4256) =< s(4229) s(4256) =< s(4250) s(4257) =< s(4256)*2 s(4258) =< s(4256) s(4258) =< s(4257) s(4259) =< s(4229) s(4251) =< s(4229) s(4259) =< s(4210) s(4251) =< s(4210) s(4260) =< s(4259)*2 s(4261) =< s(4259) s(4261) =< s(4260) s(4262) =< s(4250) s(4262) =< s(4209) s(4253) =< s(4209) s(4263) =< s(4211) s(4263) =< s(4199) s(4264) =< s(4199) s(4264) =< s(4253) s(4263) =< s(4253) s(4265) =< s(4228) s(4266) =< s(4199) s(4266) =< s(4198) s(4267) =< s(4229) s(4265) =< s(4229) s(4267) =< s(4228) s(4268) =< s(4267)*2 s(4269) =< s(4267) s(4269) =< s(4268) s(4270) =< s(4211) s(4270) =< s(4199) s(4271) =< s(4270) s(4271) =< s(4253) s(4272) =< s(4213) s(4273) =< s(4230) s(4274) =< s(4200) s(4275) =< s(4188) s(4275) =< s(4201) s(4276) =< s(4212)*2 s(4277) =< s(4212) s(4277) =< s(4276) s(4272) =< s(4212) s(4278) =< s(4201) s(4278) =< s(4200) s(4279) =< s(4212) s(4279) =< s(4213) s(4280) =< s(4279)*2 s(4281) =< s(4279) s(4281) =< s(4280) s(4282) =< s(4214) s(4283) =< s(4216) s(4284) =< s(4231) s(4285) =< s(4189) s(4286) =< s(4202) s(4287) =< s(4214) s(4287) =< s(4232) s(4288) =< s(4232) s(4288) =< s(4287) s(4289) =< s(4288)*2 s(4290) =< s(4288) s(4290) =< s(4289) s(4291) =< s(4216) s(4292) =< s(4189) s(4292) =< s(4202) s(4293) =< s(4232) s(4291) =< s(4232) s(4293) =< s(4216) s(4294) =< s(4293)*2 s(4295) =< s(4293) s(4295) =< s(4294) s(4285) =< s(4214) s(4296) =< s(4232) s(4283) =< s(4232) s(4296) =< s(4215) s(4283) =< s(4215) s(4297) =< s(4296)*2 s(4298) =< s(4296) s(4298) =< s(4297) s(4299) =< s(4217) s(4300) =< s(4197) s(4301) =< s(4219) s(4300) =< s(4219) s(4301) =< s(4233) s(4302) =< s(4218) s(4303) =< s(4233) s(4303) =< s(4218) s(4304) =< s(4303)*2 s(4305) =< s(4303) s(4305) =< s(4304) s(4306) =< s(4233) s(4302) =< s(4233) s(4306) =< s(4301) s(4302) =< s(4301) s(4307) =< s(4306)*2 s(4308) =< s(4306) s(4308) =< s(4307) s(4309) =< s(4219) s(4310) =< s(4219) s(4311) =< s(4218) s(4309) =< s(4190) s(4310) =< s(4197) s(4312) =< s(4197) s(4312) =< s(4309) s(4310) =< s(4309) s(4311) =< s(4233) s(4311) =< s(4219) s(4313) =< s(4301)*2 s(4314) =< s(4301) s(4314) =< s(4313) s(4315) =< s(4219) s(4315) =< s(4197) s(4316) =< s(4315) s(4316) =< s(4309) s(4317) =< s(4203) s(4318) =< s(4203) s(4319) =< s(4235) s(4320) =< s(4235) s(4321) =< s(4234) s(4322) =< s(4190) s(4323) =< s(4197) s(4324) =< s(4220) s(4323) =< s(4220) s(4325) =< s(4220) s(4317) =< s(4221) s(4325) =< s(4221) s(4324) =< s(4236) s(4322) =< s(4220) s(4317) =< s(4220) s(4326) =< s(4236) s(4326) =< s(4325) s(4327) =< s(4326)*2 s(4328) =< s(4326) s(4328) =< s(4327) s(4329) =< s(4236) s(4319) =< s(4236) s(4329) =< s(4324) s(4319) =< s(4324) s(4330) =< s(4329)*2 s(4331) =< s(4329) s(4331) =< s(4330) s(4318) =< s(4221) s(4332) =< s(4318) s(4332) =< s(4220) s(4333) =< s(4220) s(4334) =< s(4220) s(4333) =< s(4190) s(4334) =< s(4197) s(4335) =< s(4197) s(4335) =< s(4333) s(4334) =< s(4333) s(4320) =< s(4236) s(4320) =< s(4220) s(4336) =< s(4324)*2 s(4337) =< s(4324) s(4337) =< s(4336) s(4338) =< s(4220) s(4338) =< s(4197) s(4339) =< s(4338) s(4339) =< s(4333) s(4340) =< s(4223) s(4341) =< s(4223) s(4342) =< s(4237) s(4343) =< s(4200) s(4344) =< s(4224) s(4343) =< s(4224) s(4344) =< s(4238) s(4345) =< s(4238) s(4345) =< s(4222) s(4346) =< s(4345)*2 s(4347) =< s(4345) s(4347) =< s(4346) s(4348) =< s(4238) s(4340) =< s(4238) s(4348) =< s(4344) s(4340) =< s(4344) s(4349) =< s(4348)*2 s(4350) =< s(4348) s(4350) =< s(4349) s(4351) =< s(4224) s(4352) =< s(4224) s(4351) =< s(4201) s(4352) =< s(4200) s(4353) =< s(4200) s(4353) =< s(4351) s(4352) =< s(4351) s(4341) =< s(4238) s(4341) =< s(4224) s(4354) =< s(4344)*2 s(4355) =< s(4344) s(4355) =< s(4354) s(4356) =< s(4224) s(4356) =< s(4200) s(4357) =< s(4356) s(4357) =< s(4351) s(4358) =< s(4204) s(4359) =< s(4205) s(4360) =< s(4205) s(4361) =< s(4225) s(4362) =< s(4189) s(4363) =< s(4202) s(4364) =< s(4204) s(4363) =< s(4204) s(4364) =< s(4226) s(4365) =< s(4226) s(4365) =< s(4364) s(4366) =< s(4365)*2 s(4367) =< s(4365) s(4367) =< s(4366) s(4359) =< s(4226) s(4359) =< s(4364) s(4362) =< s(4204) s(4368) =< s(4204) s(4368) =< s(4202) s(4369) =< s(4202) s(4369) =< s(4362) s(4368) =< s(4362) s(4360) =< s(4226) s(4360) =< s(4204) s(4370) =< s(4364)*2 s(4371) =< s(4364) s(4371) =< s(4370) s(4372) =< s(4204) s(4372) =< s(4202) s(4373) =< s(4372) s(4373) =< s(4362) with precondition: [V_n>=12] * Chain [106]: 1*s(4375)+1*s(4377)+1*s(4378)+8*s(4390)+4*s(4392)+6*s(4393)+6*s(4394)+24*s(4397)+4*s(4398)+1*s(4399)+1*s(4400)+1*s(4401)+1*s(4402)+1*s(4403)+3*s(4455)+6*s(4456)+1*s(4457)+3*s(4458)+30*s(4461)+6*s(4463)+6*s(4464)+1*s(4465)+2*s(4467)+6*s(4468)+3*s(4470)+2*s(4471)+36*s(4474)+12*s(4477)+2*s(4478)+2*s(4479)+6*s(4480)+4*s(4481)+12*s(4482)+24*s(4485)+4*s(4487)+6*s(4488)+6*s(4489)+2*s(4490)+36*s(4491)+48*s(4493)+12*s(4494)+24*s(4497)+2*s(4498)+1*s(4499)+3*s(4500)+1*s(4501)+1*s(4502)+18*s(4506)+2*s(4507)+6*s(4508)+12*s(4511)+6*s(4514)+3*s(4515)+1*s(4516)+1*s(4518)+18*s(4521)+6*s(4524)+1*s(4526)+2*s(4527)+3*s(4528)+12*s(4530)+2*s(4532)+3*s(4533)+2*s(4535)+4*s(4536)+6*s(4537)+9*s(4538)+2*s(4539)+36*s(4544)+12*s(4547)+6*s(4548)+2*s(4550)+6*s(4551)+24*s(4553)+4*s(4555)+2*s(4556)+4*s(4557)+6*s(4558)+2*s(4559)+36*s(4563)+12*s(4566)+2*s(4568)+6*s(4569)+24*s(4571)+4*s(4573)+3*s(4574)+1*s(4575)+2*s(4576)+3*s(4577)+1*s(4579)+24*s(4583)+1*s(4584)+3*s(4585)+12*s(4587)+2*s(4589)+0 Such that:s(4382) =< V_n s(4383) =< 2*V_n s(4384) =< 4*V_n s(4385) =< V_n/2 s(4374) =< V_n/6 s(4375) =< V_n/9 s(4376) =< V_n/12 s(4377) =< V_n/18 s(4378) =< V_n/24 s(4386) =< 2/3*V_n s(4379) =< 2/9*V_n s(4380) =< 4/9*V_n s(4381) =< 8/9*V_n s(4387) =< s(4383) s(4388) =< s(4384) s(4387) =< s(4382) s(4389) =< s(4382) s(4388) =< s(4383) s(4389) =< s(4385) s(4390) =< s(4387) s(4391) =< s(4387) s(4392) =< s(4389) s(4393) =< s(4389) s(4394) =< s(4382) s(4390) =< s(4382) s(4393) =< s(4382) s(4392) =< s(4385) s(4392) =< s(4382) s(4396) =< s(4389)*2 s(4397) =< s(4389) s(4397) =< s(4396) s(4391) =< s(4382) s(4398) =< s(4391) s(4398) =< s(4382) s(4399) =< s(4374) s(4400) =< s(4374) s(4399) =< s(4388) s(4377) =< s(4388) s(4401) =< s(4388) s(4402) =< s(4388) s(4400) =< s(4388) s(4375) =< s(4388) s(4403) =< s(4388) s(4375) =< s(4387) s(4403) =< s(4387) s(4378) =< s(4376) s(4399) =< s(4376) s(4377) =< s(4376) s(4401) =< s(4376) s(4402) =< s(4376) s(4400) =< s(4376) s(4375) =< s(4376) s(4403) =< s(4376) s(4378) =< s(4389) s(4399) =< s(4389) s(4377) =< s(4389) s(4401) =< s(4389) s(4402) =< s(4389) s(4400) =< s(4389) s(4375) =< s(4389) s(4403) =< s(4389) s(4404) =< s(4386) s(4377) =< s(4386) s(4401) =< s(4386) s(4402) =< s(4386) s(4400) =< s(4386) s(4375) =< s(4386) s(4403) =< s(4386) s(4404) =< s(4388) s(4405) =< s(4386) s(4399) =< s(4386) s(4405) =< s(4387) s(4399) =< s(4387) s(4377) =< s(4387) s(4401) =< s(4387) s(4402) =< s(4387) s(4400) =< s(4387) s(4401) =< s(4379) s(4403) =< s(4379) s(4406) =< s(4380) s(4401) =< s(4380) s(4402) =< s(4380) s(4400) =< s(4380) s(4375) =< s(4380) s(4403) =< s(4380) s(4406) =< s(4387) s(4407) =< s(4381) s(4403) =< s(4381) s(4407) =< s(4388) s(4408) =< s(4382)*(1/4) s(4409) =< s(4382)*(1/2) s(4410) =< s(4385) s(4411) =< s(4385)*2 s(4412) =< s(4382) s(4413) =< s(4406)*(1/2) s(4414) =< s(4407)*(1/4) s(4415) =< s(4407)*(1/2) s(4416) =< s(4404)*(1/4) s(4417) =< s(4404)*(1/2) s(4418) =< s(4405)*(1/2) s(4419) =< s(4377)*s(4382) s(4420) =< s(4378)*s(4382) s(4421) =< s(4378)*s(4385) s(4422) =< s(4403)*s(4408) s(4423) =< s(4403)*s(4409) s(4424) =< s(4403)*s(4410) s(4425) =< s(4375)*s(4412) s(4426) =< s(4375)*s(4409) s(4427) =< s(4375)*s(4411) s(4428) =< s(4400)*s(4409) s(4429) =< s(4400)*s(4410) s(4430) =< s(4402)*s(4412) s(4431) =< s(4402)*s(4409) s(4432) =< s(4402)*s(4410) s(4433) =< s(4401)*s(4408) s(4434) =< s(4401)*s(4410) s(4435) =< s(4401)*s(4412) s(4436) =< s(4377)*s(4412) s(4437) =< s(4377)*s(4411) s(4438) =< s(4399)*s(4409) s(4439) =< s(4399)*s(4410) s(4440) =< s(4399)*s(4412) s(4441) =< s(4420)*(1/4) s(4442) =< s(4420)*(1/2) s(4443) =< s(4425)*(1/4) s(4444) =< s(4427)*(1/2) s(4445) =< s(4425)*(1/2) s(4446) =< s(4428)*(1/2) s(4447) =< s(4430)*(1/4) s(4448) =< s(4430)*(1/2) s(4449) =< s(4435)*(1/2) s(4450) =< s(4436)*(1/4) s(4451) =< s(4437)*(1/2) s(4452) =< s(4436)*(1/2) s(4453) =< s(4438)*(1/2) s(4454) =< s(4440)*(1/2) s(4455) =< s(4422) s(4456) =< s(4406) s(4457) =< s(4413) s(4458) =< s(4424) s(4459) =< s(4423) s(4459) =< s(4424) s(4460) =< s(4459)*2 s(4461) =< s(4459) s(4461) =< s(4460) s(4458) =< s(4423) s(4462) =< s(4423)*2 s(4463) =< s(4423) s(4463) =< s(4462) s(4464) =< s(4406) s(4464) =< s(4413) s(4465) =< s(4425) s(4466) =< s(4425) s(4467) =< s(4444) s(4468) =< s(4443) s(4469) =< s(4407) s(4470) =< s(4415) s(4471) =< s(4414) s(4465) =< s(4427) s(4466) =< s(4427) s(4470) =< s(4425) s(4472) =< s(4445) s(4472) =< s(4466) s(4473) =< s(4472)*2 s(4474) =< s(4472) s(4474) =< s(4473) s(4475) =< s(4445) s(4467) =< s(4445) s(4475) =< s(4426) s(4467) =< s(4426) s(4476) =< s(4475)*2 s(4477) =< s(4475) s(4477) =< s(4476) s(4478) =< s(4466) s(4478) =< s(4425) s(4469) =< s(4425) s(4479) =< s(4427) s(4479) =< s(4415) s(4480) =< s(4415) s(4480) =< s(4469) s(4479) =< s(4469) s(4481) =< s(4444) s(4482) =< s(4415) s(4482) =< s(4414) s(4483) =< s(4445) s(4481) =< s(4445) s(4483) =< s(4444) s(4484) =< s(4483)*2 s(4485) =< s(4483) s(4485) =< s(4484) s(4486) =< s(4427) s(4486) =< s(4415) s(4487) =< s(4486) s(4487) =< s(4469) s(4488) =< s(4429) s(4489) =< s(4446) s(4490) =< s(4416) s(4491) =< s(4404) s(4491) =< s(4417) s(4492) =< s(4428)*2 s(4493) =< s(4428) s(4493) =< s(4492) s(4488) =< s(4428) s(4494) =< s(4417) s(4494) =< s(4416) s(4495) =< s(4428) s(4495) =< s(4429) s(4496) =< s(4495)*2 s(4497) =< s(4495) s(4497) =< s(4496) s(4498) =< s(4430) s(4499) =< s(4432) s(4500) =< s(4447) s(4501) =< s(4405) s(4502) =< s(4418) s(4503) =< s(4430) s(4503) =< s(4448) s(4504) =< s(4448) s(4504) =< s(4503) s(4505) =< s(4504)*2 s(4506) =< s(4504) s(4506) =< s(4505) s(4507) =< s(4432) s(4508) =< s(4405) s(4508) =< s(4418) s(4509) =< s(4448) s(4507) =< s(4448) s(4509) =< s(4432) s(4510) =< s(4509)*2 s(4511) =< s(4509) s(4511) =< s(4510) s(4501) =< s(4430) s(4512) =< s(4448) s(4499) =< s(4448) s(4512) =< s(4431) s(4499) =< s(4431) s(4513) =< s(4512)*2 s(4514) =< s(4512) s(4514) =< s(4513) s(4515) =< s(4433) s(4516) =< s(4413) s(4517) =< s(4435) s(4516) =< s(4435) s(4517) =< s(4449) s(4518) =< s(4434) s(4519) =< s(4449) s(4519) =< s(4434) s(4520) =< s(4519)*2 s(4521) =< s(4519) s(4521) =< s(4520) s(4522) =< s(4449) s(4518) =< s(4449) s(4522) =< s(4517) s(4518) =< s(4517) s(4523) =< s(4522)*2 s(4524) =< s(4522) s(4524) =< s(4523) s(4525) =< s(4435) s(4526) =< s(4435) s(4527) =< s(4434) s(4525) =< s(4406) s(4526) =< s(4413) s(4528) =< s(4413) s(4528) =< s(4525) s(4526) =< s(4525) s(4527) =< s(4449) s(4527) =< s(4435) s(4529) =< s(4517)*2 s(4530) =< s(4517) s(4530) =< s(4529) s(4531) =< s(4435) s(4531) =< s(4413) s(4532) =< s(4531) s(4532) =< s(4525) s(4533) =< s(4419) s(4534) =< s(4419) s(4535) =< s(4451) s(4536) =< s(4451) s(4537) =< s(4450) s(4538) =< s(4406) s(4539) =< s(4413) s(4540) =< s(4436) s(4539) =< s(4436) s(4541) =< s(4436) s(4533) =< s(4437) s(4541) =< s(4437) s(4540) =< s(4452) s(4538) =< s(4436) s(4533) =< s(4436) s(4542) =< s(4452) s(4542) =< s(4541) s(4543) =< s(4542)*2 s(4544) =< s(4542) s(4544) =< s(4543) s(4545) =< s(4452) s(4535) =< s(4452) s(4545) =< s(4540) s(4535) =< s(4540) s(4546) =< s(4545)*2 s(4547) =< s(4545) s(4547) =< s(4546) s(4534) =< s(4437) s(4548) =< s(4534) s(4548) =< s(4436) s(4549) =< s(4436) s(4550) =< s(4436) s(4549) =< s(4406) s(4550) =< s(4413) s(4551) =< s(4413) s(4551) =< s(4549) s(4550) =< s(4549) s(4536) =< s(4452) s(4536) =< s(4436) s(4552) =< s(4540)*2 s(4553) =< s(4540) s(4553) =< s(4552) s(4554) =< s(4436) s(4554) =< s(4413) s(4555) =< s(4554) s(4555) =< s(4549) s(4556) =< s(4439) s(4557) =< s(4439) s(4558) =< s(4453) s(4559) =< s(4416) s(4560) =< s(4440) s(4559) =< s(4440) s(4560) =< s(4454) s(4561) =< s(4454) s(4561) =< s(4438) s(4562) =< s(4561)*2 s(4563) =< s(4561) s(4563) =< s(4562) s(4564) =< s(4454) s(4556) =< s(4454) s(4564) =< s(4560) s(4556) =< s(4560) s(4565) =< s(4564)*2 s(4566) =< s(4564) s(4566) =< s(4565) s(4567) =< s(4440) s(4568) =< s(4440) s(4567) =< s(4417) s(4568) =< s(4416) s(4569) =< s(4416) s(4569) =< s(4567) s(4568) =< s(4567) s(4557) =< s(4454) s(4557) =< s(4440) s(4570) =< s(4560)*2 s(4571) =< s(4560) s(4571) =< s(4570) s(4572) =< s(4440) s(4572) =< s(4416) s(4573) =< s(4572) s(4573) =< s(4567) s(4574) =< s(4420) s(4575) =< s(4421) s(4576) =< s(4421) s(4577) =< s(4441) s(4578) =< s(4405) s(4579) =< s(4418) s(4580) =< s(4420) s(4579) =< s(4420) s(4580) =< s(4442) s(4581) =< s(4442) s(4581) =< s(4580) s(4582) =< s(4581)*2 s(4583) =< s(4581) s(4583) =< s(4582) s(4575) =< s(4442) s(4575) =< s(4580) s(4578) =< s(4420) s(4584) =< s(4420) s(4584) =< s(4418) s(4585) =< s(4418) s(4585) =< s(4578) s(4584) =< s(4578) s(4576) =< s(4442) s(4576) =< s(4420) s(4586) =< s(4580)*2 s(4587) =< s(4580) s(4587) =< s(4586) s(4588) =< s(4420) s(4588) =< s(4418) s(4589) =< s(4588) s(4589) =< s(4578) with precondition: [V_n>=13] * Chain [105]: 2*s(4605)+2*s(4606)+2*s(4607)+2*s(4608)+2*s(4609)+36*s(4611)+12*s(4614)+4*s(4615)+2*s(4616)+6*s(4618)+24*s(4621)+4*s(4623)+2*s(4624)+4*s(4625)+2*s(4626)+2*s(4627)+6*s(4677)+12*s(4678)+2*s(4679)+6*s(4680)+60*s(4683)+12*s(4685)+12*s(4686)+2*s(4687)+4*s(4689)+12*s(4690)+6*s(4692)+4*s(4693)+72*s(4696)+24*s(4699)+4*s(4700)+4*s(4701)+12*s(4702)+8*s(4703)+24*s(4704)+48*s(4707)+8*s(4709)+12*s(4710)+12*s(4711)+4*s(4712)+72*s(4713)+96*s(4715)+24*s(4716)+48*s(4719)+4*s(4720)+2*s(4721)+6*s(4722)+2*s(4723)+2*s(4724)+36*s(4728)+4*s(4729)+12*s(4730)+24*s(4733)+12*s(4736)+6*s(4737)+2*s(4738)+2*s(4740)+36*s(4743)+12*s(4746)+2*s(4748)+4*s(4749)+6*s(4750)+24*s(4752)+4*s(4754)+6*s(4755)+4*s(4757)+8*s(4758)+12*s(4759)+18*s(4760)+4*s(4761)+72*s(4766)+24*s(4769)+12*s(4770)+4*s(4772)+12*s(4773)+48*s(4775)+8*s(4777)+4*s(4778)+8*s(4779)+12*s(4780)+4*s(4781)+72*s(4785)+24*s(4788)+4*s(4790)+12*s(4791)+48*s(4793)+8*s(4795)+6*s(4796)+2*s(4797)+4*s(4798)+6*s(4799)+2*s(4801)+48*s(4805)+2*s(4806)+6*s(4807)+24*s(4809)+4*s(4811)+2*s(4812)+2*s(4813)+12*s(4816)+16*s(4817)+24*s(4820)+0 Such that:s(4601) =< V_n s(4602) =< V_n/2 s(4590) =< V_n/3 s(4591) =< V_n/4 s(4603) =< V_n/6 s(4592) =< V_n/9 s(4593) =< V_n/12 s(4594) =< V_n/18 s(4595) =< V_n/24 s(4604) =< 2/3*V_n s(4596) =< 2/9*V_n s(4597) =< 3/4*V_n s(4598) =< 3/8*V_n s(4599) =< 4/9*V_n s(4600) =< 8/9*V_n s(4605) =< s(4592) s(4606) =< s(4594) s(4607) =< s(4595) s(4608) =< s(4591) s(4609) =< s(4591) s(4610) =< s(4602) s(4610) =< s(4601) s(4609) =< s(4601) s(4611) =< s(4601) s(4611) =< s(4602) s(4612) =< s(4602) s(4608) =< s(4602) s(4612) =< s(4610) s(4608) =< s(4610) s(4613) =< s(4612)*2 s(4614) =< s(4612) s(4614) =< s(4613) s(4615) =< s(4591) s(4616) =< s(4591) s(4616) =< s(4597) s(4617) =< s(4597) s(4617) =< s(4601) s(4618) =< s(4591) s(4618) =< s(4610) s(4616) =< s(4610) s(4619) =< s(4602) s(4615) =< s(4602) s(4619) =< s(4617) s(4615) =< s(4617) s(4620) =< s(4619)*2 s(4621) =< s(4619) s(4621) =< s(4620) s(4622) =< s(4591) s(4622) =< s(4597) s(4623) =< s(4622) s(4623) =< s(4610) s(4624) =< s(4603) s(4625) =< s(4603) s(4624) =< s(4590) s(4606) =< s(4590) s(4626) =< s(4590) s(4625) =< s(4590) s(4605) =< s(4590) s(4627) =< s(4590) s(4605) =< s(4603) s(4627) =< s(4603) s(4607) =< s(4593) s(4624) =< s(4593) s(4606) =< s(4593) s(4626) =< s(4593) s(4625) =< s(4593) s(4605) =< s(4593) s(4627) =< s(4593) s(4624) =< s(4595) s(4606) =< s(4595) s(4626) =< s(4595) s(4628) =< s(4604) s(4606) =< s(4604) s(4626) =< s(4604) s(4625) =< s(4604) s(4605) =< s(4604) s(4627) =< s(4604) s(4628) =< s(4590) s(4629) =< s(4604) s(4624) =< s(4604) s(4629) =< s(4603) s(4606) =< s(4603) s(4626) =< s(4603) s(4626) =< s(4596) s(4627) =< s(4596) s(4630) =< s(4599) s(4626) =< s(4599) s(4625) =< s(4599) s(4605) =< s(4599) s(4627) =< s(4599) s(4630) =< s(4603) s(4631) =< s(4600) s(4627) =< s(4600) s(4631) =< s(4590) s(4632) =< s(4601)*(1/4) s(4633) =< s(4601)*(1/2) s(4634) =< s(4602) s(4635) =< s(4602)*2 s(4636) =< s(4601) s(4637) =< s(4630)*(1/2) s(4638) =< s(4631)*(1/4) s(4639) =< s(4631)*(1/2) s(4640) =< s(4628)*(1/4) s(4641) =< s(4628)*(1/2) s(4642) =< s(4629)*(1/2) s(4643) =< s(4606)*s(4601) s(4644) =< s(4607)*s(4601) s(4645) =< s(4607)*s(4602) s(4646) =< s(4627)*s(4632) s(4647) =< s(4627)*s(4633) s(4648) =< s(4627)*s(4634) s(4649) =< s(4605)*s(4636) s(4650) =< s(4605)*s(4633) s(4651) =< s(4605)*s(4635) s(4652) =< s(4625)*s(4633) s(4653) =< s(4625)*s(4634) s(4654) =< s(4625)*s(4636) s(4655) =< s(4626)*s(4632) s(4656) =< s(4626)*s(4634) s(4657) =< s(4626)*s(4636) s(4658) =< s(4606)*s(4636) s(4659) =< s(4606)*s(4635) s(4660) =< s(4624)*s(4633) s(4661) =< s(4624)*s(4634) s(4662) =< s(4624)*s(4636) s(4663) =< s(4644)*(1/4) s(4664) =< s(4644)*(1/2) s(4665) =< s(4649)*(1/4) s(4666) =< s(4651)*(1/2) s(4667) =< s(4649)*(1/2) s(4668) =< s(4652)*(1/2) s(4669) =< s(4654)*(1/4) s(4670) =< s(4654)*(1/2) s(4671) =< s(4657)*(1/2) s(4672) =< s(4658)*(1/4) s(4673) =< s(4659)*(1/2) s(4674) =< s(4658)*(1/2) s(4675) =< s(4660)*(1/2) s(4676) =< s(4662)*(1/2) s(4677) =< s(4646) s(4678) =< s(4630) s(4679) =< s(4637) s(4680) =< s(4648) s(4681) =< s(4647) s(4681) =< s(4648) s(4682) =< s(4681)*2 s(4683) =< s(4681) s(4683) =< s(4682) s(4680) =< s(4647) s(4684) =< s(4647)*2 s(4685) =< s(4647) s(4685) =< s(4684) s(4686) =< s(4630) s(4686) =< s(4637) s(4687) =< s(4649) s(4688) =< s(4649) s(4689) =< s(4666) s(4690) =< s(4665) s(4691) =< s(4631) s(4692) =< s(4639) s(4693) =< s(4638) s(4687) =< s(4651) s(4688) =< s(4651) s(4692) =< s(4649) s(4694) =< s(4667) s(4694) =< s(4688) s(4695) =< s(4694)*2 s(4696) =< s(4694) s(4696) =< s(4695) s(4697) =< s(4667) s(4689) =< s(4667) s(4697) =< s(4650) s(4689) =< s(4650) s(4698) =< s(4697)*2 s(4699) =< s(4697) s(4699) =< s(4698) s(4700) =< s(4688) s(4700) =< s(4649) s(4691) =< s(4649) s(4701) =< s(4651) s(4701) =< s(4639) s(4702) =< s(4639) s(4702) =< s(4691) s(4701) =< s(4691) s(4703) =< s(4666) s(4704) =< s(4639) s(4704) =< s(4638) s(4705) =< s(4667) s(4703) =< s(4667) s(4705) =< s(4666) s(4706) =< s(4705)*2 s(4707) =< s(4705) s(4707) =< s(4706) s(4708) =< s(4651) s(4708) =< s(4639) s(4709) =< s(4708) s(4709) =< s(4691) s(4710) =< s(4653) s(4711) =< s(4668) s(4712) =< s(4640) s(4713) =< s(4628) s(4713) =< s(4641) s(4714) =< s(4652)*2 s(4715) =< s(4652) s(4715) =< s(4714) s(4710) =< s(4652) s(4716) =< s(4641) s(4716) =< s(4640) s(4717) =< s(4652) s(4717) =< s(4653) s(4718) =< s(4717)*2 s(4719) =< s(4717) s(4719) =< s(4718) s(4720) =< s(4654) s(4721) =< s(4653) s(4722) =< s(4669) s(4723) =< s(4629) s(4724) =< s(4642) s(4725) =< s(4654) s(4725) =< s(4670) s(4726) =< s(4670) s(4726) =< s(4725) s(4727) =< s(4726)*2 s(4728) =< s(4726) s(4728) =< s(4727) s(4729) =< s(4653) s(4730) =< s(4629) s(4730) =< s(4642) s(4731) =< s(4670) s(4729) =< s(4670) s(4731) =< s(4653) s(4732) =< s(4731)*2 s(4733) =< s(4731) s(4733) =< s(4732) s(4723) =< s(4654) s(4734) =< s(4670) s(4721) =< s(4670) s(4734) =< s(4652) s(4721) =< s(4652) s(4735) =< s(4734)*2 s(4736) =< s(4734) s(4736) =< s(4735) s(4737) =< s(4655) s(4738) =< s(4637) s(4739) =< s(4657) s(4738) =< s(4657) s(4739) =< s(4671) s(4740) =< s(4656) s(4741) =< s(4671) s(4741) =< s(4656) s(4742) =< s(4741)*2 s(4743) =< s(4741) s(4743) =< s(4742) s(4744) =< s(4671) s(4740) =< s(4671) s(4744) =< s(4739) s(4740) =< s(4739) s(4745) =< s(4744)*2 s(4746) =< s(4744) s(4746) =< s(4745) s(4747) =< s(4657) s(4748) =< s(4657) s(4749) =< s(4656) s(4747) =< s(4630) s(4748) =< s(4637) s(4750) =< s(4637) s(4750) =< s(4747) s(4748) =< s(4747) s(4749) =< s(4671) s(4749) =< s(4657) s(4751) =< s(4739)*2 s(4752) =< s(4739) s(4752) =< s(4751) s(4753) =< s(4657) s(4753) =< s(4637) s(4754) =< s(4753) s(4754) =< s(4747) s(4755) =< s(4643) s(4756) =< s(4643) s(4757) =< s(4673) s(4758) =< s(4673) s(4759) =< s(4672) s(4760) =< s(4630) s(4761) =< s(4637) s(4762) =< s(4658) s(4761) =< s(4658) s(4763) =< s(4658) s(4755) =< s(4659) s(4763) =< s(4659) s(4762) =< s(4674) s(4760) =< s(4658) s(4755) =< s(4658) s(4764) =< s(4674) s(4764) =< s(4763) s(4765) =< s(4764)*2 s(4766) =< s(4764) s(4766) =< s(4765) s(4767) =< s(4674) s(4757) =< s(4674) s(4767) =< s(4762) s(4757) =< s(4762) s(4768) =< s(4767)*2 s(4769) =< s(4767) s(4769) =< s(4768) s(4756) =< s(4659) s(4770) =< s(4756) s(4770) =< s(4658) s(4771) =< s(4658) s(4772) =< s(4658) s(4771) =< s(4630) s(4772) =< s(4637) s(4773) =< s(4637) s(4773) =< s(4771) s(4772) =< s(4771) s(4758) =< s(4674) s(4758) =< s(4658) s(4774) =< s(4762)*2 s(4775) =< s(4762) s(4775) =< s(4774) s(4776) =< s(4658) s(4776) =< s(4637) s(4777) =< s(4776) s(4777) =< s(4771) s(4778) =< s(4661) s(4779) =< s(4661) s(4780) =< s(4675) s(4781) =< s(4640) s(4782) =< s(4662) s(4781) =< s(4662) s(4782) =< s(4676) s(4783) =< s(4676) s(4783) =< s(4660) s(4784) =< s(4783)*2 s(4785) =< s(4783) s(4785) =< s(4784) s(4786) =< s(4676) s(4778) =< s(4676) s(4786) =< s(4782) s(4778) =< s(4782) s(4787) =< s(4786)*2 s(4788) =< s(4786) s(4788) =< s(4787) s(4789) =< s(4662) s(4790) =< s(4662) s(4789) =< s(4641) s(4790) =< s(4640) s(4791) =< s(4640) s(4791) =< s(4789) s(4790) =< s(4789) s(4779) =< s(4676) s(4779) =< s(4662) s(4792) =< s(4782)*2 s(4793) =< s(4782) s(4793) =< s(4792) s(4794) =< s(4662) s(4794) =< s(4640) s(4795) =< s(4794) s(4795) =< s(4789) s(4796) =< s(4644) s(4797) =< s(4645) s(4798) =< s(4645) s(4799) =< s(4663) s(4800) =< s(4629) s(4801) =< s(4642) s(4802) =< s(4644) s(4801) =< s(4644) s(4802) =< s(4664) s(4803) =< s(4664) s(4803) =< s(4802) s(4804) =< s(4803)*2 s(4805) =< s(4803) s(4805) =< s(4804) s(4797) =< s(4664) s(4797) =< s(4802) s(4800) =< s(4644) s(4806) =< s(4644) s(4806) =< s(4642) s(4807) =< s(4642) s(4807) =< s(4800) s(4806) =< s(4800) s(4798) =< s(4664) s(4798) =< s(4644) s(4808) =< s(4802)*2 s(4809) =< s(4802) s(4809) =< s(4808) s(4810) =< s(4644) s(4810) =< s(4642) s(4811) =< s(4810) s(4811) =< s(4800) s(4812) =< s(4591) s(4813) =< s(4591) s(4814) =< s(4602) s(4812) =< s(4602) s(4814) =< s(4598) s(4812) =< s(4598) s(4815) =< s(4814)*2 s(4816) =< s(4814) s(4816) =< s(4815) s(4817) =< s(4591) s(4817) =< s(4602) s(4818) =< s(4602) s(4818) =< s(4591) s(4819) =< s(4818)*2 s(4820) =< s(4818) s(4820) =< s(4819) with precondition: [V_n>=16] Closed-form bounds of eval_sipmamergesort2_start(V_n,B): ------------------------------------- * Chain [115] with precondition: [V_n=1] - Upper bound: 2 - Complexity: constant * Chain [114] with precondition: [V_n=2] - Upper bound: 14 - Complexity: constant * Chain [113] with precondition: [V_n=3] - Upper bound: 30 - Complexity: constant * Chain [112] with precondition: [V_n=4] - Upper bound: 164 - Complexity: constant * Chain [111] with precondition: [0>=V_n] - Upper bound: 0 - Complexity: constant * Chain [110] with precondition: [V_n>=5] - Upper bound: V_n/24+(V_n/18+(V_n/9+(V_n/3+(257/4*V_n*(4*V_n)+7*V_n+V_n/6*(87*V_n)+V_n/9*(81/2*V_n)+V_n/18*(117/2*V_n)+V_n/24*(111/4*V_n)+12*V_n+V_n/2*(36*V_n)+38*V_n+128/9*V_n+112/9*V_n+V_n/6*(6*V_n)+V_n/9*(3*V_n)+V_n/18*(3*V_n)+V_n/24*(3/2*V_n))))) - Complexity: n^2 * Chain [109] with precondition: [V_n>=8] - Upper bound: V_n/24+(V_n/18+(V_n/9+(V_n/2+(87/2*V_n*(2/3*V_n)+7*V_n+V_n/6*(431/4*V_n)+V_n/9*(81/2*V_n)+V_n/18*(117/2*V_n)+V_n/24*(111/4*V_n)+118/3*V_n+V_n/2*(4*V_n)+128/9*V_n+112/9*V_n+V_n/6*(15/2*V_n)+V_n/9*(3*V_n)+V_n/18*(3*V_n)+V_n/24*(3/2*V_n))))) - Complexity: n^2 * Chain [108] with precondition: [V_n>=9] - Upper bound: V_n/24+(V_n/18+(V_n/9+(V_n/3+(257/4*V_n*(2*V_n)+10*V_n+V_n/6*(87*V_n)+V_n/9*(81/2*V_n)+V_n/18*(117/2*V_n)+V_n/24*(111/4*V_n)+6*V_n+V_n/2*(18*V_n)+38*V_n+128/9*V_n+112/9*V_n+6*V_n+V_n/6*(6*V_n)+V_n/9*(3*V_n)+V_n/18*(3*V_n)+V_n/24*(3/2*V_n))))) - Complexity: n^2 * Chain [107] with precondition: [V_n>=12] - Upper bound: V_n/24+(V_n/18+(V_n/9+(V_n/3+(257/4*V_n*(2*V_n)+6*V_n+V_n/6*(87*V_n)+V_n/9*(81/2*V_n)+V_n/18*(117/2*V_n)+V_n/24*(111/4*V_n)+6*V_n+V_n/2*(18*V_n)+38*V_n+128/9*V_n+112/9*V_n+8*V_n+V_n/6*(6*V_n)+V_n/9*(3*V_n)+V_n/18*(3*V_n)+V_n/24*(3/2*V_n))))) - Complexity: n^2 * Chain [106] with precondition: [V_n>=13] - Upper bound: V_n/24+(V_n/18+(V_n/9+(V_n/3+(257/4*V_n*(4*V_n)+40*V_n+V_n/6*(87*V_n)+V_n/9*(81/2*V_n)+V_n/18*(117/2*V_n)+V_n/24*(111/4*V_n)+24*V_n+12*V_n+V_n/2*(36*V_n)+38*V_n+128/9*V_n+112/9*V_n+V_n/6*(6*V_n)+V_n/9*(3*V_n)+V_n/18*(3*V_n)+V_n/24*(3/2*V_n))))) - Complexity: n^2 * Chain [105] with precondition: [V_n>=16] - Upper bound: V_n/12+(V_n/9+(V_n/3*(87*V_n)+36*V_n+V_n/6*(431/2*V_n)+V_n/9*(81*V_n)+V_n/18*(117*V_n)+V_n/24*(111/2*V_n)+76*V_n+256/9*V_n+224/9*V_n+36*V_n+V_n/3*(6*V_n)+V_n/6*(15*V_n)+V_n/9*(6*V_n)+V_n/18*(6*V_n)+V_n/24*(3*V_n)+4/3*V_n+10*V_n+V_n+2/9*V_n)) - Complexity: n^2 ### Maximum cost of eval_sipmamergesort2_start(V_n,B): max([164,nat(V_n)*87*nat(V_n/6)+nat(V_n)*6+81/2*nat(V_n)*nat(V_n/9)+117/2*nat(V_n)*nat(V_n/18)+111/4*nat(V_n)*nat(V_n/24)+nat(2/3*V_n)*57+nat(4/9*V_n)*32+nat(8/9*V_n)*14+nat(V_n/2)*12*nat(V_n/6)+nat(V_n/2)*6*nat(V_n/9)+nat(V_n/2)*6*nat(V_n/18)+nat(V_n/2)*3*nat(V_n/24)+nat(V_n/6)*2+nat(V_n/9)+nat(V_n/18)+nat(V_n/24)+max([nat(V_n)+max([max([257/4*nat(V_n)*nat(4*V_n)+nat(4*V_n)*3+nat(4*V_n)*9*nat(V_n/2),87/2*nat(V_n)*nat(2/3*V_n)+83/4*nat(V_n)*nat(V_n/6)+nat(2/3*V_n)*2+nat(2/3*V_n)*6*nat(V_n/2)+nat(V_n/2)*3*nat(V_n/6)+nat(V_n/6)]),nat(V_n)*3+max([nat(V_n)*26+max([257/4*nat(V_n)*nat(4*V_n)+nat(V_n)*4+nat(2*V_n)*12+nat(4*V_n)*3+nat(4*V_n)*9*nat(V_n/2),257/2*nat(V_n)*nat(V_n/6)+nat(V_n)*87*nat(V_n/3)+81/2*nat(V_n)*nat(V_n/9)+117/2*nat(V_n)*nat(V_n/18)+111/4*nat(V_n)*nat(V_n/24)+nat(2/3*V_n)*57+nat(4/9*V_n)*32+nat(8/9*V_n)*14+nat(V_n/2)*72+nat(V_n/2)*12*nat(V_n/3)+nat(V_n/2)*18*nat(V_n/6)+nat(V_n/2)*6*nat(V_n/9)+nat(V_n/2)*6*nat(V_n/18)+nat(V_n/2)*3*nat(V_n/24)+nat(V_n/3)*4+nat(V_n/4)*40+nat(V_n/6)*4+nat(V_n/9)+nat(V_n/18)+nat(V_n/24)]),257/4*nat(V_n)*nat(2*V_n)+nat(2*V_n)*3+nat(2*V_n)*9*nat(V_n/2)+nat(V_n/2)*12])]),257/4*nat(V_n)*nat(2*V_n)+nat(2*V_n)*3+nat(2*V_n)*9*nat(V_n/2)+nat(V_n/2)*16])]) Asymptotic class: n^2 * Total analysis performed in 17225 ms.