2.76/2.78 WORST_CASE(?,O(n^2)) 2.76/2.78 2.76/2.78 Preprocessing Cost Relations 2.76/2.78 ===================================== 2.76/2.78 2.76/2.78 #### Computed strongly connected components 2.76/2.78 0. non_recursive : [stop/5] 2.76/2.78 1. non_recursive : [cut/5] 2.76/2.78 2. recursive : [lbl111/9] 2.76/2.78 3. recursive : [lbl101/9,lbl111_loop_cont/10] 2.76/2.78 4. non_recursive : [exit_location/1] 2.76/2.78 5. non_recursive : [lbl101_loop_cont/6] 2.76/2.78 6. non_recursive : [lbl6/5] 2.76/2.78 7. non_recursive : [start/5] 2.76/2.78 8. non_recursive : [start0/5] 2.76/2.78 2.76/2.78 #### Obtained direct recursion through partial evaluation 2.76/2.78 0. SCC is completely evaluated into other SCCs 2.76/2.78 1. SCC is completely evaluated into other SCCs 2.76/2.78 2. SCC is partially evaluated into lbl111/9 2.76/2.78 3. SCC is partially evaluated into lbl101/9 2.76/2.78 4. SCC is completely evaluated into other SCCs 2.76/2.78 5. SCC is partially evaluated into lbl101_loop_cont/6 2.76/2.78 6. SCC is completely evaluated into other SCCs 2.76/2.78 7. SCC is partially evaluated into start/5 2.76/2.78 8. SCC is partially evaluated into start0/5 2.76/2.78 2.76/2.78 Control-Flow Refinement of Cost Relations 2.76/2.78 ===================================== 2.76/2.78 2.76/2.78 ### Specialization of cost equations lbl111/9 2.76/2.78 * CE 12 is refined into CE [21] 2.76/2.78 * CE 10 is refined into CE [22] 2.76/2.78 * CE 9 is refined into CE [23] 2.76/2.78 * CE 11 is refined into CE [24] 2.76/2.78 2.76/2.78 2.76/2.78 ### Cost equations --> "Loop" of lbl111/9 2.76/2.78 * CEs [24] --> Loop 19 2.76/2.78 * CEs [21] --> Loop 20 2.76/2.78 * CEs [22] --> Loop 21 2.76/2.78 * CEs [23] --> Loop 22 2.76/2.78 2.76/2.78 ### Ranking functions of CR lbl111(A,B,C,D,E,F,G,H,I) 2.76/2.78 * RF of phase [19]: [-B+D,D-1] 2.76/2.78 2.76/2.78 #### Partial ranking functions of CR lbl111(A,B,C,D,E,F,G,H,I) 2.76/2.78 * Partial RF of phase [19]: 2.76/2.78 - RF of loop [19:1]: 2.76/2.78 -B+D 2.76/2.78 D-1 2.76/2.78 2.76/2.78 2.76/2.78 ### Specialization of cost equations lbl101/9 2.76/2.78 * CE 15 is refined into CE [25,26] 2.76/2.78 * CE 20 is refined into CE [27] 2.76/2.78 * CE 17 is refined into CE [28,29] 2.76/2.78 * CE 18 is refined into CE [30] 2.76/2.78 * CE 16 is refined into CE [31,32] 2.76/2.78 * CE 19 is refined into CE [33] 2.76/2.78 2.76/2.78 2.76/2.78 ### Cost equations --> "Loop" of lbl101/9 2.76/2.78 * CEs [32] --> Loop 23 2.76/2.78 * CEs [31] --> Loop 24 2.76/2.78 * CEs [33] --> Loop 25 2.76/2.78 * CEs [25] --> Loop 26 2.76/2.78 * CEs [26] --> Loop 27 2.76/2.78 * CEs [27] --> Loop 28 2.76/2.78 * CEs [29] --> Loop 29 2.76/2.78 * CEs [28] --> Loop 30 2.76/2.78 * CEs [30] --> Loop 31 2.76/2.78 2.76/2.78 ### Ranking functions of CR lbl101(A,B,C,D,E,F,G,H,I) 2.76/2.78 * RF of phase [23,24,25]: [B-1] 2.76/2.78 2.76/2.78 #### Partial ranking functions of CR lbl101(A,B,C,D,E,F,G,H,I) 2.76/2.78 * Partial RF of phase [23,24,25]: 2.76/2.78 - RF of loop [23:1]: 2.76/2.78 -B+D/2 depends on loops [24:1,25:1] 2.76/2.78 D/4-1 2.76/2.78 - RF of loop [23:1,24:1,25:1]: 2.76/2.78 B-1 2.76/2.78 - RF of loop [24:1]: 2.76/2.78 -B+D depends on loops [25:1] 2.76/2.78 D/2-1 2.76/2.78 - RF of loop [25:1]: 2.76/2.78 B-D depends on loops [23:1,24:1] 2.76/2.78 2.76/2.78 2.76/2.78 ### Specialization of cost equations lbl101_loop_cont/6 2.76/2.78 * CE 14 is refined into CE [34] 2.76/2.78 * CE 13 is refined into CE [35] 2.76/2.78 2.76/2.78 2.76/2.78 ### Cost equations --> "Loop" of lbl101_loop_cont/6 2.76/2.78 * CEs [34] --> Loop 32 2.76/2.78 * CEs [35] --> Loop 33 2.76/2.78 2.76/2.78 ### Ranking functions of CR lbl101_loop_cont(A,B,C,D,E,F) 2.76/2.78 2.76/2.78 #### Partial ranking functions of CR lbl101_loop_cont(A,B,C,D,E,F) 2.76/2.78 2.76/2.78 2.76/2.78 ### Specialization of cost equations start/5 2.76/2.78 * CE 2 is refined into CE [36,37] 2.76/2.78 * CE 3 is refined into CE [38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61] 2.76/2.78 * CE 4 is refined into CE [62,63] 2.76/2.78 * CE 8 is refined into CE [64,65,66,67,68,69,70,71,72,73,74,75] 2.76/2.78 * CE 6 is refined into CE [76] 2.76/2.78 * CE 5 is refined into CE [77] 2.76/2.78 * CE 7 is refined into CE [78] 2.76/2.78 2.76/2.78 2.76/2.78 ### Cost equations --> "Loop" of start/5 2.76/2.78 * CEs [41,49] --> Loop 34 2.76/2.78 * CEs [42,48] --> Loop 35 2.76/2.78 * CEs [43,47] --> Loop 36 2.76/2.78 * CEs [44] --> Loop 37 2.76/2.78 * CEs [46] --> Loop 38 2.76/2.78 * CEs [45] --> Loop 39 2.76/2.78 * CEs [53] --> Loop 40 2.76/2.78 * CEs [54] --> Loop 41 2.76/2.78 * CEs [52] --> Loop 42 2.76/2.78 * CEs [55] --> Loop 43 2.76/2.78 * CEs [56] --> Loop 44 2.76/2.78 * CEs [36] --> Loop 45 2.76/2.78 * CEs [37] --> Loop 46 2.76/2.78 * CEs [63] --> Loop 47 2.76/2.78 * CEs [67,75] --> Loop 48 2.76/2.78 * CEs [68,74] --> Loop 49 2.76/2.78 * CEs [69,73] --> Loop 50 2.76/2.78 * CEs [70] --> Loop 51 2.76/2.78 * CEs [76] --> Loop 52 2.76/2.78 * CEs [77] --> Loop 53 2.76/2.78 * CEs [64] --> Loop 54 2.76/2.78 * CEs [72] --> Loop 55 2.76/2.78 * CEs [71] --> Loop 56 2.76/2.78 * CEs [66] --> Loop 57 2.76/2.78 * CEs [40] --> Loop 58 2.76/2.78 * CEs [61] --> Loop 59 2.76/2.78 * CEs [60] --> Loop 60 2.76/2.78 * CEs [57] --> Loop 61 2.76/2.78 * CEs [59] --> Loop 62 2.76/2.78 * CEs [58] --> Loop 63 2.76/2.78 * CEs [51] --> Loop 64 2.76/2.78 * CEs [50] --> Loop 65 2.76/2.78 * CEs [78] --> Loop 66 2.76/2.78 * CEs [62] --> Loop 67 2.76/2.78 * CEs [65] --> Loop 68 2.76/2.78 * CEs [38] --> Loop 69 2.76/2.78 * CEs [39] --> Loop 70 2.76/2.78 2.76/2.78 ### Ranking functions of CR start(A,B,C,D,E) 2.76/2.78 2.76/2.78 #### Partial ranking functions of CR start(A,B,C,D,E) 2.76/2.78 2.76/2.78 2.76/2.78 ### Specialization of cost equations start0/5 2.76/2.78 * CE 1 is refined into CE [79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115] 2.76/2.78 2.76/2.78 2.76/2.78 ### Cost equations --> "Loop" of start0/5 2.76/2.78 * CEs [103] --> Loop 71 2.76/2.78 * CEs [102] --> Loop 72 2.76/2.78 * CEs [101] --> Loop 73 2.76/2.78 * CEs [100] --> Loop 74 2.76/2.78 * CEs [114] --> Loop 75 2.76/2.78 * CEs [113] --> Loop 76 2.76/2.78 * CEs [112] --> Loop 77 2.76/2.78 * CEs [99] --> Loop 78 2.76/2.78 * CEs [98] --> Loop 79 2.76/2.78 * CEs [111] --> Loop 80 2.76/2.78 * CEs [93,110] --> Loop 81 2.76/2.78 * CEs [92,109] --> Loop 82 2.76/2.78 * CEs [108] --> Loop 83 2.76/2.78 * CEs [91] --> Loop 84 2.76/2.78 * CEs [90,107] --> Loop 85 2.76/2.78 * CEs [106] --> Loop 86 2.76/2.78 * CEs [105] --> Loop 87 2.76/2.78 * CEs [89] --> Loop 88 2.76/2.78 * CEs [104] --> Loop 89 2.76/2.78 * CEs [88] --> Loop 90 2.76/2.78 * CEs [87] --> Loop 91 2.76/2.78 * CEs [86] --> Loop 92 2.76/2.78 * CEs [97] --> Loop 93 2.76/2.78 * CEs [96] --> Loop 94 2.76/2.78 * CEs [95] --> Loop 95 2.76/2.78 * CEs [94] --> Loop 96 2.76/2.78 * CEs [84] --> Loop 97 2.76/2.78 * CEs [85] --> Loop 98 2.76/2.78 * CEs [81] --> Loop 99 2.76/2.78 * CEs [83] --> Loop 100 2.76/2.78 * CEs [79] --> Loop 101 2.76/2.78 * CEs [115] --> Loop 102 2.76/2.78 * CEs [82] --> Loop 103 2.76/2.78 * CEs [80] --> Loop 104 2.76/2.78 2.76/2.78 ### Ranking functions of CR start0(A,B,C,D,E) 2.76/2.78 2.76/2.78 #### Partial ranking functions of CR start0(A,B,C,D,E) 2.76/2.78 2.76/2.78 2.76/2.78 Computing Bounds 2.76/2.78 ===================================== 2.76/2.78 2.76/2.78 #### Cost of chains of lbl111(A,B,C,D,E,F,G,H,I): 2.76/2.78 * Chain [[19],22]: 1*it(19)+0 2.76/2.78 Such that:it(19) =< D-I 2.76/2.78 2.76/2.78 with precondition: [E=2,A=F,B=G,C=H,B=I,B>=1,D>=2*B,C>=B,A>=B+D] 2.76/2.78 2.76/2.78 * Chain [[19],21]: 1*it(19)+0 2.76/2.78 Such that:it(19) =< D-G-I 2.76/2.78 2.76/2.78 with precondition: [E=3,A=F,C=H,B=G+I,G>=1,C>=B,B>=G+1,D+G>=2*B,A>=B+D] 2.76/2.78 2.76/2.78 * Chain [[19],20]: 1*it(19)+0 2.76/2.78 Such that:it(19) =< -B+D 2.76/2.78 2.76/2.78 with precondition: [E=4,B>=1,C>=B,D>=B+1,A>=B+D] 2.76/2.78 2.76/2.78 * Chain [22]: 0 2.76/2.78 with precondition: [E=2,D=B,A=F,D=G,C=H,D=I,D>=1,A>=2*D,C>=D] 2.76/2.78 2.76/2.78 * Chain [21]: 0 2.76/2.78 with precondition: [E=3,A=F,C=H,D=I,D+G=B,D>=1,C>=B,B>=D+1,A>=B+D] 2.76/2.78 2.76/2.78 * Chain [20]: 0 2.76/2.78 with precondition: [E=4,B>=1,D>=1,C>=B,A>=B+D] 2.76/2.78 2.76/2.78 2.76/2.78 #### Cost of chains of lbl101(A,B,C,D,E,F,G,H,I): 2.76/2.78 * Chain [[23,24,25],31]: 1*it(23)+1*it(24)+1*it(25)+1*s(3)+0 2.76/2.78 Such that:aux(9) =< -3*B+2*D 2.76/2.78 aux(14) =< -3*B+2*D+I 2.76/2.78 aux(62) =< B 2.76/2.78 aux(63) =< B-I 2.76/2.78 aux(24) =< C/6 2.76/2.78 aux(17) =< D 2.76/2.78 aux(61) =< D-2*I 2.76/2.78 aux(14) =< 2*D-5*I 2.76/2.78 it(24) =< D/2-I/2 2.76/2.78 it(23) =< D/4-I/4 2.76/2.78 aux(22) =< F/4 2.76/2.78 aux(64) =< -B+D 2.76/2.78 aux(61) =< aux(64) 2.76/2.78 it(23) =< aux(62) 2.76/2.78 it(24) =< aux(62) 2.76/2.78 it(25) =< aux(62) 2.76/2.78 it(23) =< aux(63) 2.76/2.78 it(24) =< aux(63) 2.76/2.78 it(25) =< aux(63) 2.76/2.78 aux(52) =< aux(24)*3+2 2.76/2.78 aux(44) =< aux(22)*4+3 2.76/2.78 aux(28) =< aux(24)*2-1 2.76/2.78 aux(26) =< aux(22)*2-1 2.76/2.78 aux(53) =< it(25)*aux(52) 2.76/2.78 aux(45) =< it(25)*aux(44) 2.76/2.78 s(3) =< it(23)*aux(17) 2.76/2.78 aux(8) =< aux(53)*3 2.76/2.78 aux(5) =< aux(53) 2.76/2.78 aux(8) =< aux(45)*3 2.76/2.78 aux(5) =< aux(45) 2.76/2.78 it(24) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(64) 2.76/2.78 aux(29) =< it(24)*aux(28) 2.76/2.78 aux(7) =< it(24)*aux(28) 2.76/2.78 aux(27) =< it(24)*aux(26) 2.76/2.78 aux(7) =< it(24)*aux(26) 2.76/2.78 aux(12) =< aux(29) 2.76/2.78 aux(12) =< aux(27) 2.76/2.78 s(3) =< aux(8)+aux(7)+aux(9) 2.76/2.78 s(3) =< aux(8)+aux(12)+aux(14) 2.76/2.78 2.76/2.78 with precondition: [E=2,A=F,C=H,G=I,G>=1,B>=2*G,A>=D,D>=G,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [[23,24,25],30]: 1*it(23)+1*it(24)+1*it(25)+1*s(3)+0 2.76/2.78 Such that:aux(9) =< -3*B+2*D 2.76/2.78 aux(14) =< -3*B+2*D-G 2.76/2.78 aux(60) =< -B+D 2.76/2.78 aux(61) =< -B+D-G 2.76/2.78 aux(62) =< B 2.76/2.78 aux(63) =< B-I 2.76/2.78 aux(24) =< C/6 2.76/2.78 aux(17) =< D 2.76/2.78 aux(61) =< D-4*G 2.76/2.78 aux(14) =< 2*D-10*G 2.76/2.78 it(24) =< D/2-I 2.76/2.78 it(23) =< D/4-I/2 2.76/2.78 aux(22) =< F/4 2.76/2.78 it(23) =< aux(62) 2.76/2.78 it(24) =< aux(62) 2.76/2.78 it(25) =< aux(62) 2.76/2.78 it(23) =< aux(63) 2.76/2.78 it(24) =< aux(63) 2.76/2.78 it(25) =< aux(63) 2.76/2.78 aux(52) =< aux(24)*3+2 2.76/2.78 aux(44) =< aux(22)*4+3 2.76/2.78 aux(28) =< aux(24)*2-1 2.76/2.78 aux(26) =< aux(22)*2-1 2.76/2.78 aux(53) =< it(25)*aux(52) 2.76/2.78 aux(45) =< it(25)*aux(44) 2.76/2.78 s(3) =< it(23)*aux(17) 2.76/2.78 aux(8) =< aux(53)*3 2.76/2.78 aux(5) =< aux(53) 2.76/2.78 aux(8) =< aux(45)*3 2.76/2.78 aux(5) =< aux(45) 2.76/2.78 it(24) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(60) 2.76/2.78 aux(29) =< it(24)*aux(28) 2.76/2.78 aux(7) =< it(24)*aux(28) 2.76/2.78 aux(27) =< it(24)*aux(26) 2.76/2.78 aux(7) =< it(24)*aux(26) 2.76/2.78 aux(12) =< aux(29) 2.76/2.78 aux(12) =< aux(27) 2.76/2.78 s(3) =< aux(8)+aux(7)+aux(9) 2.76/2.78 s(3) =< aux(8)+aux(12)+aux(14) 2.76/2.78 2.76/2.78 with precondition: [E=2,A=F,C=H,G=I,G>=1,B>=3*G,D>=2*G,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [[23,24,25],29]: 1*it(23)+1*it(24)+1*it(25)+1*s(3)+1*s(4)+0 2.76/2.78 Such that:aux(9) =< -3*B+2*D 2.76/2.78 aux(14) =< -3*B+2*D-3*I 2.76/2.78 aux(60) =< -B+D 2.76/2.78 aux(61) =< -B+D-2*I 2.76/2.78 aux(62) =< B 2.76/2.78 aux(63) =< B-I 2.76/2.78 aux(24) =< C/6 2.76/2.78 aux(17) =< D 2.76/2.78 aux(61) =< D-6*G 2.76/2.78 aux(14) =< 2*D-15*G 2.76/2.78 it(24) =< D/2-3/2*I 2.76/2.78 it(23) =< D/4-3/4*I 2.76/2.78 aux(22) =< F/4 2.76/2.78 aux(65) =< D-2*I 2.76/2.78 it(23) =< aux(65) 2.76/2.78 it(24) =< aux(65) 2.76/2.78 s(4) =< aux(65) 2.76/2.78 it(23) =< aux(62) 2.76/2.78 it(24) =< aux(62) 2.76/2.78 it(25) =< aux(62) 2.76/2.78 it(23) =< aux(63) 2.76/2.78 it(24) =< aux(63) 2.76/2.78 it(25) =< aux(63) 2.76/2.78 aux(52) =< aux(24)*3+2 2.76/2.78 aux(44) =< aux(22)*4+3 2.76/2.78 aux(28) =< aux(24)*2-1 2.76/2.78 aux(26) =< aux(22)*2-1 2.76/2.78 aux(53) =< it(25)*aux(52) 2.76/2.78 aux(45) =< it(25)*aux(44) 2.76/2.78 s(3) =< it(23)*aux(17) 2.76/2.78 aux(8) =< aux(53)*3 2.76/2.78 aux(5) =< aux(53) 2.76/2.78 aux(8) =< aux(45)*3 2.76/2.78 aux(5) =< aux(45) 2.76/2.78 it(24) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(60) 2.76/2.78 aux(29) =< it(24)*aux(28) 2.76/2.78 aux(7) =< it(24)*aux(28) 2.76/2.78 aux(27) =< it(24)*aux(26) 2.76/2.78 aux(7) =< it(24)*aux(26) 2.76/2.78 aux(12) =< aux(29) 2.76/2.78 aux(12) =< aux(27) 2.76/2.78 s(3) =< aux(8)+aux(7)+aux(9) 2.76/2.78 s(3) =< aux(8)+aux(12)+aux(14) 2.76/2.78 2.76/2.78 with precondition: [E=2,A=F,C=H,G=I,G>=1,B>=4*G,D>=3*G,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [[23,24,25],28]: 1*it(23)+1*it(24)+1*it(25)+1*s(3)+0 2.76/2.78 Such that:aux(61) =< A 2.76/2.78 aux(14) =< 2*A 2.76/2.78 aux(22) =< A/4 2.76/2.78 aux(9) =< -3*B+2*D 2.76/2.78 aux(60) =< -B+D 2.76/2.78 aux(24) =< C/6 2.76/2.78 aux(14) =< 2*D 2.76/2.78 it(24) =< D/2 2.76/2.78 it(23) =< D/4 2.76/2.78 aux(66) =< B 2.76/2.78 aux(67) =< D 2.76/2.78 aux(61) =< aux(67) 2.76/2.78 it(23) =< aux(66) 2.76/2.78 it(24) =< aux(66) 2.76/2.78 it(25) =< aux(66) 2.76/2.78 aux(52) =< aux(24)*3+2 2.76/2.78 aux(44) =< aux(22)*4+3 2.76/2.78 aux(28) =< aux(24)*2-1 2.76/2.78 aux(26) =< aux(22)*2-1 2.76/2.78 aux(53) =< it(25)*aux(52) 2.76/2.78 aux(45) =< it(25)*aux(44) 2.76/2.78 s(3) =< it(23)*aux(67) 2.76/2.78 aux(8) =< aux(53)*3 2.76/2.78 aux(5) =< aux(53) 2.76/2.78 aux(8) =< aux(45)*3 2.76/2.78 aux(5) =< aux(45) 2.76/2.78 it(24) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(60) 2.76/2.78 aux(29) =< it(24)*aux(28) 2.76/2.78 aux(7) =< it(24)*aux(28) 2.76/2.78 aux(27) =< it(24)*aux(26) 2.76/2.78 aux(7) =< it(24)*aux(26) 2.76/2.78 aux(12) =< aux(29) 2.76/2.78 aux(12) =< aux(27) 2.76/2.78 s(3) =< aux(8)+aux(7)+aux(9) 2.76/2.78 s(3) =< aux(8)+aux(12)+aux(14) 2.76/2.78 2.76/2.78 with precondition: [E=4,B>=2,D>=1,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [[23,24,25],27]: 1*it(23)+1*it(24)+1*it(25)+1*s(3)+1*s(5)+0 2.76/2.78 Such that:aux(22) =< A/4 2.76/2.78 aux(24) =< C/6 2.76/2.78 aux(14) =< 2*D 2.76/2.78 it(24) =< D/2 2.76/2.78 it(23) =< D/4 2.76/2.78 aux(68) =< -3*B+2*D 2.76/2.78 aux(69) =< -B+D 2.76/2.78 aux(70) =< B 2.76/2.78 aux(71) =< D 2.76/2.78 aux(14) =< aux(68) 2.76/2.78 aux(61) =< aux(69) 2.76/2.78 aux(61) =< aux(71) 2.76/2.78 it(23) =< aux(71) 2.76/2.78 it(24) =< aux(71) 2.76/2.78 s(5) =< aux(71) 2.76/2.78 it(23) =< aux(70) 2.76/2.78 it(24) =< aux(70) 2.76/2.78 it(25) =< aux(70) 2.76/2.78 aux(52) =< aux(24)*3+2 2.76/2.78 aux(44) =< aux(22)*4+3 2.76/2.78 aux(28) =< aux(24)*2-1 2.76/2.78 aux(26) =< aux(22)*2-1 2.76/2.78 aux(53) =< it(25)*aux(52) 2.76/2.78 aux(45) =< it(25)*aux(44) 2.76/2.78 s(3) =< it(23)*aux(71) 2.76/2.78 aux(8) =< aux(53)*3 2.76/2.78 aux(5) =< aux(53) 2.76/2.78 aux(8) =< aux(45)*3 2.76/2.78 aux(5) =< aux(45) 2.76/2.78 it(24) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(69) 2.76/2.78 aux(29) =< it(24)*aux(28) 2.76/2.78 aux(7) =< it(24)*aux(28) 2.76/2.78 aux(27) =< it(24)*aux(26) 2.76/2.78 aux(7) =< it(24)*aux(26) 2.76/2.78 aux(12) =< aux(29) 2.76/2.78 aux(12) =< aux(27) 2.76/2.78 s(3) =< aux(8)+aux(7)+aux(68) 2.76/2.78 s(3) =< aux(8)+aux(12)+aux(14) 2.76/2.78 2.76/2.78 with precondition: [E=4,B>=4,D>=3,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [[23,24,25],26]: 1*it(23)+1*it(24)+1*it(25)+1*s(3)+0 2.76/2.78 Such that:aux(22) =< A/4 2.76/2.78 aux(9) =< -3*B+2*D 2.76/2.78 aux(14) =< -3*B+3*D 2.76/2.78 aux(14) =< -5/2*B+2*D 2.76/2.78 aux(24) =< C/6 2.76/2.78 it(24) =< D/2 2.76/2.78 it(23) =< D/4 2.76/2.78 aux(72) =< -B+D 2.76/2.78 aux(73) =< B 2.76/2.78 aux(74) =< D 2.76/2.78 aux(61) =< aux(72) 2.76/2.78 aux(61) =< aux(74) 2.76/2.78 it(23) =< aux(73) 2.76/2.78 it(24) =< aux(73) 2.76/2.78 it(25) =< aux(73) 2.76/2.78 aux(52) =< aux(24)*3+2 2.76/2.78 aux(44) =< aux(22)*4+3 2.76/2.78 aux(28) =< aux(24)*2-1 2.76/2.78 aux(26) =< aux(22)*2-1 2.76/2.78 aux(53) =< it(25)*aux(52) 2.76/2.78 aux(45) =< it(25)*aux(44) 2.76/2.78 s(3) =< it(23)*aux(74) 2.76/2.78 aux(8) =< aux(53)*3 2.76/2.78 aux(5) =< aux(53) 2.76/2.78 aux(8) =< aux(45)*3 2.76/2.78 aux(5) =< aux(45) 2.76/2.78 it(24) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(61) 2.76/2.78 s(3) =< aux(5)+aux(72) 2.76/2.78 aux(29) =< it(24)*aux(28) 2.76/2.78 aux(7) =< it(24)*aux(28) 2.76/2.78 aux(27) =< it(24)*aux(26) 2.76/2.78 aux(7) =< it(24)*aux(26) 2.76/2.78 aux(12) =< aux(29) 2.76/2.78 aux(12) =< aux(27) 2.76/2.78 s(3) =< aux(8)+aux(7)+aux(9) 2.76/2.78 s(3) =< aux(8)+aux(12)+aux(14) 2.76/2.78 2.76/2.78 with precondition: [E=4,B>=3,D>=2,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [31]: 0 2.76/2.78 with precondition: [E=2,B=D,A=F,B=G,C=H,B=I,B>=1,C>=2*B,A>=B] 2.76/2.78 2.76/2.78 * Chain [30]: 0 2.76/2.78 with precondition: [E=2,2*B=D,A=F,B=G,C=H,B=I,B>=1,C>=3*B,A>=2*B] 2.76/2.78 2.76/2.78 * Chain [29]: 1*s(4)+0 2.76/2.78 Such that:s(4) =< -2*B+D 2.76/2.78 2.76/2.78 with precondition: [E=2,A=F,B=G,C=H,B=I,B>=1,D>=3*B,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [28]: 0 2.76/2.78 with precondition: [E=4] 2.76/2.78 2.76/2.78 * Chain [27]: 1*s(5)+0 2.76/2.78 Such that:s(5) =< -2*B+D 2.76/2.78 2.76/2.78 with precondition: [E=4,B>=1,D>=2*B+1,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 * Chain [26]: 0 2.76/2.78 with precondition: [E=4,B>=1,D>=B+1,A>=D,C>=B+D] 2.76/2.78 2.76/2.78 2.76/2.78 #### Cost of chains of lbl101_loop_cont(A,B,C,D,E,F): 2.76/2.78 * Chain [33]: 0 2.76/2.78 with precondition: [A=2,C=E,C>=1,B>=C,D>=C] 2.76/2.78 2.76/2.78 * Chain [32]: 0 2.76/2.78 with precondition: [A=4] 2.76/2.78 2.76/2.78 2.76/2.78 #### Cost of chains of start(A,B,C,D,E): 2.76/2.78 * Chain [70]: 1 2.76/2.78 with precondition: [5*B=3*A,5*B=3*D,B=C,B>=3] 2.76/2.78 2.76/2.78 * Chain [69]: 1 2.76/2.78 with precondition: [3*B=2*A,3*B=2*D,B=C,B>=2] 2.76/2.78 2.76/2.78 * Chain [68]: 0 2.76/2.78 with precondition: [2*B=3*A,2*B=3*D,B=C,B>=3] 2.76/2.78 2.76/2.78 * Chain [67]: 0 2.76/2.78 with precondition: [2*B=A,B=C,2*B=D,B>=1] 2.76/2.78 2.76/2.78 * Chain [66]: 0 2.76/2.78 with precondition: [B=A,B=C,B=D,B>=1] 2.76/2.78 2.76/2.78 * Chain [65]: 1*s(6)+1 2.76/2.78 Such that:s(6) =< -2*C+D 2.76/2.78 2.76/2.78 with precondition: [D=A,B=C,B>=2,2*D>=5*B] 2.76/2.78 2.76/2.78 * Chain [64]: 1*s(7)+1 2.76/2.78 Such that:s(7) =< -2*C+D 2.76/2.78 2.76/2.78 with precondition: [D=A,B=C,B>=3,3*D>=8*B] 2.76/2.78 2.76/2.78 * Chain [63]: 1*s(8)+1 2.76/2.78 Such that:s(8) =< -2*C+D 2.76/2.78 2.76/2.78 with precondition: [D=A,B=C,B>=3,2*D>=5*B+1] 2.76/2.78 2.76/2.79 * Chain [62]: 1*s(9)+1*s(16)+1*s(17)+1*s(20)+1*s(27)+1 2.76/2.79 Such that:s(13) =< 5*A-13*C 2.76/2.79 s(9) =< -2*B+D 2.76/2.79 s(11) =< 2*B 2.76/2.79 s(16) =< B/2 2.76/2.79 s(17) =< B/4 2.76/2.79 s(15) =< B/6 2.76/2.79 s(14) =< -5*C+2*D 2.76/2.79 s(14) =< C 2.76/2.79 s(13) =< 2*C 2.76/2.79 s(10) =< D 2.76/2.79 s(12) =< D/4 2.76/2.79 aux(75) =< B 2.76/2.79 s(16) =< aux(75) 2.76/2.79 s(17) =< aux(75) 2.76/2.79 s(10) =< aux(75) 2.76/2.79 s(20) =< aux(75) 2.76/2.79 s(21) =< s(15)*3+2 2.76/2.79 s(22) =< s(12)*4+3 2.76/2.79 s(23) =< s(15)*2-1 2.76/2.79 s(24) =< s(12)*2-1 2.76/2.79 s(25) =< s(20)*s(21) 2.76/2.79 s(26) =< s(20)*s(22) 2.76/2.79 s(27) =< s(17)*aux(75) 2.76/2.79 s(28) =< s(25)*3 2.76/2.79 s(29) =< s(25) 2.76/2.79 s(28) =< s(26)*3 2.76/2.79 s(29) =< s(26) 2.76/2.79 s(16) =< s(29)+s(10) 2.76/2.79 s(27) =< s(29)+s(10) 2.76/2.79 s(27) =< s(29)+s(14) 2.76/2.79 s(30) =< s(16)*s(23) 2.76/2.79 s(31) =< s(16)*s(23) 2.76/2.79 s(32) =< s(16)*s(24) 2.76/2.79 s(31) =< s(16)*s(24) 2.76/2.79 s(33) =< s(30) 2.76/2.79 s(33) =< s(32) 2.76/2.79 s(27) =< s(28)+s(31)+s(13) 2.76/2.79 s(27) =< s(28)+s(33)+s(11) 2.76/2.79 2.76/2.79 with precondition: [D=A,B=C,B>=3,D>=2*B+1] 2.76/2.79 2.76/2.79 * Chain [61]: 1*s(34)+1*s(35)+1 2.76/2.79 Such that:s(35) =< -8*B+3*D 2.76/2.79 s(34) =< -2*B+D 2.76/2.79 s(35) =< B 2.76/2.79 2.76/2.79 with precondition: [D=A,B=C,B>=4,3*D>=8*B+1] 2.76/2.79 2.76/2.79 * Chain [60]: 1*s(36)+1*s(41)+1*s(42)+1*s(47)+1*s(54)+1 2.76/2.79 Such that:s(43) =< 2*A-5*B 2.76/2.79 s(38) =< 5*A-13*B 2.76/2.79 s(39) =< 6*A-15*B 2.76/2.79 s(41) =< A/2-C 2.76/2.79 s(37) =< A/4 2.76/2.79 s(42) =< A/4-C/2 2.76/2.79 s(39) =< 9/2*A-23/2*B 2.76/2.79 s(43) =< B 2.76/2.79 s(39) =< 3*B 2.76/2.79 s(40) =< C/6 2.76/2.79 aux(76) =< A-2*C 2.76/2.79 aux(77) =< 2*B 2.76/2.79 aux(78) =< C 2.76/2.79 s(36) =< aux(76) 2.76/2.79 s(45) =< aux(76) 2.76/2.79 s(38) =< aux(77) 2.76/2.79 s(39) =< aux(77) 2.76/2.79 s(41) =< aux(78) 2.76/2.79 s(42) =< aux(78) 2.76/2.79 s(45) =< aux(78) 2.76/2.79 s(46) =< s(43) 2.76/2.79 s(46) =< s(45) 2.76/2.79 s(47) =< aux(78) 2.76/2.79 s(48) =< s(40)*3+2 2.76/2.79 s(49) =< s(37)*4+3 2.76/2.79 s(50) =< s(40)*2-1 2.76/2.79 s(51) =< s(37)*2-1 2.76/2.79 s(52) =< s(47)*s(48) 2.76/2.79 s(53) =< s(47)*s(49) 2.76/2.79 s(54) =< s(42)*s(45) 2.76/2.79 s(55) =< s(52)*3 2.76/2.79 s(56) =< s(52) 2.76/2.79 s(55) =< s(53)*3 2.76/2.79 s(56) =< s(53) 2.76/2.79 s(41) =< s(56)+s(46) 2.76/2.79 s(54) =< s(56)+s(46) 2.76/2.79 s(54) =< s(56)+s(43) 2.76/2.79 s(57) =< s(41)*s(50) 2.76/2.79 s(58) =< s(41)*s(50) 2.76/2.79 s(59) =< s(41)*s(51) 2.76/2.79 s(58) =< s(41)*s(51) 2.76/2.79 s(60) =< s(57) 2.76/2.79 s(60) =< s(59) 2.76/2.79 s(54) =< s(55)+s(58)+s(38) 2.76/2.79 s(54) =< s(55)+s(60)+s(39) 2.76/2.79 2.76/2.79 with precondition: [D=A,B=C,B>=5,D>=2*B+2] 2.76/2.79 2.76/2.79 * Chain [59]: 1*s(61)+1*s(65)+1*s(66)+1*s(72)+1*s(73)+1*s(80)+1 2.76/2.79 Such that:s(68) =< 2*A-5*B 2.76/2.79 s(64) =< 2*A-4*B 2.76/2.79 s(67) =< 5*A-13*B 2.76/2.79 s(65) =< A/2-B 2.76/2.79 s(62) =< A/4 2.76/2.79 s(66) =< A/4-B/2 2.76/2.79 s(63) =< B/6 2.76/2.79 aux(79) =< A-2*B 2.76/2.79 aux(80) =< B 2.76/2.79 aux(81) =< 2*B 2.76/2.79 s(61) =< aux(79) 2.76/2.79 s(70) =< aux(79) 2.76/2.79 s(65) =< aux(80) 2.76/2.79 s(66) =< aux(80) 2.76/2.79 s(68) =< aux(80) 2.76/2.79 s(69) =< aux(80) 2.76/2.79 s(70) =< aux(80) 2.76/2.79 s(64) =< aux(81) 2.76/2.79 s(67) =< aux(81) 2.76/2.79 s(69) =< aux(81) 2.76/2.79 s(64) =< s(67) 2.76/2.79 s(71) =< s(68) 2.76/2.79 s(71) =< s(70) 2.76/2.79 s(66) =< s(70) 2.76/2.79 s(65) =< s(70) 2.76/2.79 s(72) =< s(70) 2.76/2.79 s(66) =< s(69) 2.76/2.79 s(65) =< s(69) 2.76/2.79 s(73) =< s(69) 2.76/2.79 s(74) =< s(63)*3+2 2.76/2.79 s(75) =< s(62)*4+3 2.76/2.79 s(76) =< s(63)*2-1 2.76/2.79 s(77) =< s(62)*2-1 2.76/2.79 s(78) =< s(73)*s(74) 2.76/2.79 s(79) =< s(73)*s(75) 2.76/2.79 s(80) =< s(66)*s(70) 2.76/2.79 s(81) =< s(78)*3 2.76/2.79 s(82) =< s(78) 2.76/2.79 s(81) =< s(79)*3 2.76/2.79 s(82) =< s(79) 2.76/2.79 s(65) =< s(82)+s(71) 2.76/2.79 s(80) =< s(82)+s(71) 2.76/2.79 s(80) =< s(82)+s(68) 2.76/2.79 s(83) =< s(65)*s(76) 2.76/2.79 s(84) =< s(65)*s(76) 2.76/2.79 s(85) =< s(65)*s(77) 2.76/2.79 s(84) =< s(65)*s(77) 2.76/2.79 s(86) =< s(83) 2.76/2.79 s(86) =< s(85) 2.76/2.79 s(80) =< s(81)+s(84)+s(67) 2.76/2.79 s(80) =< s(81)+s(86)+s(64) 2.76/2.79 2.76/2.79 with precondition: [D=A,B=C,B>=7,D>=2*B+3] 2.76/2.79 2.76/2.79 * Chain [58]: 1*s(87)+1 2.76/2.79 Such that:s(87) =< -5*C+3*D 2.76/2.79 2.76/2.79 with precondition: [D=A,B=C,4*D>=7*B,2*B>=D+1] 2.76/2.79 2.76/2.79 * Chain [57]: 1*s(88)+0 2.76/2.79 Such that:s(88) =< -2*C+3*D 2.76/2.79 2.76/2.79 with precondition: [D=A,B=C,4*D>=3*B,B>=D+1] 2.76/2.79 2.76/2.79 * Chain [56]: 1*s(89)+0 2.76/2.79 Such that:s(89) =< -2*C+3*D 2.76/2.79 2.76/2.79 with precondition: [D=A,B=C,3*D>=2*B+1,B>=D+1] 2.76/2.79 2.76/2.79 * Chain [55]: 0 2.76/2.79 with precondition: [D=A,B=C,2*D>=B+1,B>=D+1] 2.76/2.79 2.76/2.79 * Chain [54]: 0 2.76/2.79 with precondition: [B=2*A,B=2*D,B=C,B>=2] 2.76/2.79 2.76/2.79 * Chain [53]: 0 2.76/2.79 with precondition: [D=A,C=B,0>=D] 2.76/2.79 2.76/2.79 * Chain [52]: 0 2.76/2.79 with precondition: [D=A,C=B,0>=C,D>=1] 2.76/2.79 2.76/2.79 * Chain [51]: 0 2.76/2.79 with precondition: [D=A,C=B,D>=1,C>=D+1] 2.76/2.79 2.76/2.79 * Chain [50]: 1*s(97)+1*s(98)+1*s(101)+1*s(108)+1*s(121)+1*s(122)+1*s(125)+1*s(132)+0 2.76/2.79 Such that:aux(82) =< -A+C 2.76/2.79 aux(83) =< A 2.76/2.79 s(91) =< 2*A 2.76/2.79 s(100) =< 2*A-B 2.76/2.79 s(119) =< 2*A-C 2.76/2.79 s(118) =< 5*A-3*B 2.76/2.79 s(91) =< 6*A-3*C 2.76/2.79 s(97) =< A/2 2.76/2.79 aux(84) =< A/4 2.76/2.79 s(91) =< 9/2*A-5/2*C 2.76/2.79 s(90) =< -3*B+5*D 2.76/2.79 s(123) =< B-D 2.76/2.79 s(120) =< B/6 2.76/2.79 s(94) =< C/6 2.76/2.79 s(121) =< D/2 2.76/2.79 aux(86) =< D/4 2.76/2.79 aux(87) =< -3*C+5*D 2.76/2.79 aux(88) =< -C+2*D 2.76/2.79 aux(89) =< D 2.76/2.79 aux(90) =< 2*D 2.76/2.79 s(90) =< aux(87) 2.76/2.79 s(118) =< aux(87) 2.76/2.79 s(100) =< aux(88) 2.76/2.79 s(119) =< aux(88) 2.76/2.79 s(96) =< aux(89) 2.76/2.79 s(91) =< aux(90) 2.76/2.79 s(96) =< aux(83) 2.76/2.79 s(98) =< aux(84) 2.76/2.79 s(96) =< s(100) 2.76/2.79 s(98) =< aux(82) 2.76/2.79 s(97) =< aux(82) 2.76/2.79 s(101) =< aux(82) 2.76/2.79 s(102) =< s(94)*3+2 2.76/2.79 s(103) =< aux(84)*4+3 2.76/2.79 s(104) =< s(94)*2-1 2.76/2.79 s(105) =< aux(84)*2-1 2.76/2.79 s(106) =< s(101)*s(102) 2.76/2.79 s(107) =< s(101)*s(103) 2.76/2.79 s(108) =< s(98)*aux(83) 2.76/2.79 s(109) =< s(106)*3 2.76/2.79 s(110) =< s(106) 2.76/2.79 s(109) =< s(107)*3 2.76/2.79 s(110) =< s(107) 2.76/2.79 s(97) =< s(110)+s(96) 2.76/2.79 s(108) =< s(110)+s(96) 2.76/2.79 s(108) =< s(110)+s(100) 2.76/2.79 s(111) =< s(97)*s(104) 2.76/2.79 s(112) =< s(97)*s(104) 2.76/2.79 s(113) =< s(97)*s(105) 2.76/2.79 s(112) =< s(97)*s(105) 2.76/2.79 s(114) =< s(111) 2.76/2.79 s(114) =< s(113) 2.76/2.79 s(108) =< s(109)+s(112)+s(90) 2.76/2.79 s(108) =< s(109)+s(114)+s(91) 2.76/2.79 s(122) =< aux(86) 2.76/2.79 s(122) =< s(123) 2.76/2.79 s(121) =< s(123) 2.76/2.79 s(125) =< s(123) 2.76/2.79 s(126) =< s(120)*3+2 2.76/2.79 s(127) =< aux(86)*4+3 2.76/2.79 s(128) =< s(120)*2-1 2.76/2.79 s(129) =< aux(86)*2-1 2.76/2.79 s(130) =< s(125)*s(126) 2.76/2.79 s(131) =< s(125)*s(127) 2.76/2.79 s(132) =< s(122)*aux(89) 2.76/2.79 s(133) =< s(130)*3 2.76/2.79 s(134) =< s(130) 2.76/2.79 s(133) =< s(131)*3 2.76/2.79 s(134) =< s(131) 2.76/2.79 s(121) =< s(134)+aux(89) 2.76/2.79 s(132) =< s(134)+aux(89) 2.76/2.79 s(132) =< s(134)+s(119) 2.76/2.79 s(135) =< s(121)*s(128) 2.76/2.79 s(136) =< s(121)*s(128) 2.76/2.79 s(137) =< s(121)*s(129) 2.76/2.79 s(136) =< s(121)*s(129) 2.76/2.79 s(138) =< s(135) 2.76/2.79 s(138) =< s(137) 2.76/2.79 s(132) =< s(133)+s(136)+s(118) 2.76/2.79 s(132) =< s(133)+s(138)+aux(90) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,D>=1,C>=D+2] 2.76/2.79 2.76/2.79 * Chain [49]: 1*s(147)+2*s(148)+2*s(150)+1*s(157)+1*s(168)+1*s(181)+0 2.76/2.79 Such that:s(140) =< 2*A 2.76/2.79 aux(93) =< 2*A-B 2.76/2.79 s(140) =< 5*A-3*B 2.76/2.79 s(166) =< -3*B+6*D 2.76/2.79 s(170) =< -B+2*D 2.76/2.79 s(166) =< -5/2*B+9/2*D 2.76/2.79 s(166) =< -3*C+6*D 2.76/2.79 s(166) =< -5/2*C+9/2*D 2.76/2.79 s(142) =< D 2.76/2.79 s(140) =< 2*D 2.76/2.79 aux(98) =< -A+B 2.76/2.79 aux(99) =< A 2.76/2.79 aux(100) =< A/2 2.76/2.79 aux(101) =< A/4 2.76/2.79 aux(102) =< -3*B+5*D 2.76/2.79 aux(103) =< B/6 2.76/2.79 aux(104) =< -3*C+5*D 2.76/2.79 aux(105) =< -C+2*D 2.76/2.79 s(147) =< aux(100) 2.76/2.79 s(168) =< aux(100) 2.76/2.79 s(139) =< aux(102) 2.76/2.79 s(139) =< aux(104) 2.76/2.79 s(170) =< aux(105) 2.76/2.79 s(148) =< aux(101) 2.76/2.79 s(173) =< s(170) 2.76/2.79 s(173) =< aux(99) 2.76/2.79 s(148) =< aux(98) 2.76/2.79 s(168) =< aux(98) 2.76/2.79 s(150) =< aux(98) 2.76/2.79 s(151) =< aux(103)*3+2 2.76/2.79 s(152) =< aux(101)*4+3 2.76/2.79 s(153) =< aux(103)*2-1 2.76/2.79 s(154) =< aux(101)*2-1 2.76/2.79 s(155) =< s(150)*s(151) 2.76/2.79 s(156) =< s(150)*s(152) 2.76/2.79 s(181) =< s(148)*aux(99) 2.76/2.79 s(158) =< s(155)*3 2.76/2.79 s(159) =< s(155) 2.76/2.79 s(158) =< s(156)*3 2.76/2.79 s(159) =< s(156) 2.76/2.79 s(168) =< s(159)+s(173) 2.76/2.79 s(181) =< s(159)+s(173) 2.76/2.79 s(181) =< s(159)+s(170) 2.76/2.79 s(184) =< s(168)*s(153) 2.76/2.79 s(185) =< s(168)*s(153) 2.76/2.79 s(186) =< s(168)*s(154) 2.76/2.79 s(185) =< s(168)*s(154) 2.76/2.79 s(187) =< s(184) 2.76/2.79 s(187) =< s(186) 2.76/2.79 s(181) =< s(158)+s(185)+s(139) 2.76/2.79 s(181) =< s(158)+s(187)+s(166) 2.76/2.79 s(142) =< aux(99) 2.76/2.79 s(141) =< aux(93) 2.76/2.79 s(142) =< aux(93) 2.76/2.79 s(140) =< aux(104) 2.76/2.79 s(141) =< aux(105) 2.76/2.79 s(142) =< aux(105) 2.76/2.79 s(147) =< aux(98) 2.76/2.79 s(157) =< s(148)*aux(99) 2.76/2.79 s(147) =< s(159)+s(142) 2.76/2.79 s(157) =< s(159)+s(142) 2.76/2.79 s(157) =< s(159)+s(141) 2.76/2.79 s(160) =< s(147)*s(153) 2.76/2.79 s(161) =< s(147)*s(153) 2.76/2.79 s(162) =< s(147)*s(154) 2.76/2.79 s(161) =< s(147)*s(154) 2.76/2.79 s(163) =< s(160) 2.76/2.79 s(163) =< s(162) 2.76/2.79 s(157) =< s(158)+s(161)+s(139) 2.76/2.79 s(157) =< s(158)+s(163)+s(140) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,D>=2,C>=D+3] 2.76/2.79 2.76/2.79 * Chain [48]: 1*s(196)+2*s(197)+2*s(200)+2*s(201)+1*s(208)+1*s(218)+1*s(233)+0 2.76/2.79 Such that:s(191) =< 2*A-B 2.76/2.79 s(189) =< 5*A-3*B 2.76/2.79 s(188) =< 5*A-3*C 2.76/2.79 s(220) =< -3*B+5*D 2.76/2.79 s(191) =< D 2.76/2.79 s(189) =< 2*D 2.76/2.79 aux(112) =< -A+B 2.76/2.79 aux(113) =< A 2.76/2.79 aux(114) =< 2*A 2.76/2.79 aux(115) =< A/2 2.76/2.79 aux(116) =< A/4 2.76/2.79 aux(117) =< -B+2*D 2.76/2.79 aux(118) =< B/6 2.76/2.79 aux(119) =< -3*C+5*D 2.76/2.79 aux(120) =< -C+2*D 2.76/2.79 s(189) =< aux(114) 2.76/2.79 s(217) =< aux(114) 2.76/2.79 s(196) =< aux(115) 2.76/2.79 s(218) =< aux(115) 2.76/2.79 s(190) =< aux(117) 2.76/2.79 s(220) =< aux(119) 2.76/2.79 s(190) =< aux(120) 2.76/2.79 s(197) =< aux(116) 2.76/2.79 s(217) =< s(220) 2.76/2.79 s(224) =< s(190) 2.76/2.79 s(224) =< aux(113) 2.76/2.79 s(197) =< aux(113) 2.76/2.79 s(218) =< aux(113) 2.76/2.79 s(200) =< aux(113) 2.76/2.79 s(197) =< aux(112) 2.76/2.79 s(218) =< aux(112) 2.76/2.79 s(201) =< aux(112) 2.76/2.79 s(202) =< aux(118)*3+2 2.76/2.79 s(203) =< aux(116)*4+3 2.76/2.79 s(204) =< aux(118)*2-1 2.76/2.79 s(205) =< aux(116)*2-1 2.76/2.79 s(206) =< s(201)*s(202) 2.76/2.79 s(207) =< s(201)*s(203) 2.76/2.79 s(233) =< s(197)*aux(113) 2.76/2.79 s(209) =< s(206)*3 2.76/2.79 s(210) =< s(206) 2.76/2.79 s(209) =< s(207)*3 2.76/2.79 s(210) =< s(207) 2.76/2.79 s(218) =< s(210)+s(224) 2.76/2.79 s(233) =< s(210)+s(224) 2.76/2.79 s(233) =< s(210)+s(190) 2.76/2.79 s(236) =< s(218)*s(204) 2.76/2.79 s(237) =< s(218)*s(204) 2.76/2.79 s(238) =< s(218)*s(205) 2.76/2.79 s(237) =< s(218)*s(205) 2.76/2.79 s(239) =< s(236) 2.76/2.79 s(239) =< s(238) 2.76/2.79 s(233) =< s(209)+s(237)+s(220) 2.76/2.79 s(233) =< s(209)+s(239)+s(217) 2.76/2.79 s(191) =< aux(113) 2.76/2.79 s(188) =< aux(119) 2.76/2.79 s(189) =< aux(119) 2.76/2.79 s(191) =< aux(120) 2.76/2.79 s(196) =< aux(113) 2.76/2.79 s(196) =< aux(112) 2.76/2.79 s(208) =< s(197)*aux(113) 2.76/2.79 s(196) =< s(210)+s(191) 2.76/2.79 s(208) =< s(210)+s(191) 2.76/2.79 s(208) =< s(210)+s(190) 2.76/2.79 s(211) =< s(196)*s(204) 2.76/2.79 s(212) =< s(196)*s(204) 2.76/2.79 s(213) =< s(196)*s(205) 2.76/2.79 s(212) =< s(196)*s(205) 2.76/2.79 s(214) =< s(211) 2.76/2.79 s(214) =< s(213) 2.76/2.79 s(208) =< s(209)+s(212)+s(188) 2.76/2.79 s(208) =< s(209)+s(214)+s(189) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,D>=3,C>=D+4] 2.76/2.79 2.76/2.79 * Chain [47]: 1*s(240)+0 2.76/2.79 Such that:s(240) =< -2*C+D 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,C>=1,D>=3*C] 2.76/2.79 2.76/2.79 * Chain [46]: 1*s(241)+0 2.76/2.79 Such that:s(241) =< -2*C+D 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,C>=1,D>=2*C+1] 2.76/2.79 2.76/2.79 * Chain [45]: 0 2.76/2.79 with precondition: [D=A,C=B,C>=1,D>=C+1] 2.76/2.79 2.76/2.79 * Chain [44]: 1*s(242)+1 2.76/2.79 Such that:s(242) =< -2*C+D 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,C>=2,D>=2*C+1] 2.76/2.79 2.76/2.79 * Chain [43]: 1*s(243)+1*s(251)+2*s(252)+1*s(262)+1 2.76/2.79 Such that:s(245) =< -15*B+6*D 2.76/2.79 s(254) =< -5*B+2*D 2.76/2.79 s(254) =< B 2.76/2.79 s(245) =< 2*B 2.76/2.79 s(244) =< -13*C+5*D 2.76/2.79 s(245) =< -4*C+2*D 2.76/2.79 s(248) =< C/6 2.76/2.79 s(253) =< D/4 2.76/2.79 aux(121) =< -2*C+D 2.76/2.79 aux(122) =< C 2.76/2.79 aux(123) =< 2*C 2.76/2.79 s(243) =< aux(121) 2.76/2.79 s(250) =< aux(121) 2.76/2.79 s(250) =< aux(122) 2.76/2.79 s(251) =< aux(122) 2.76/2.79 s(252) =< aux(122) 2.76/2.79 s(244) =< aux(123) 2.76/2.79 s(245) =< aux(123) 2.76/2.79 s(250) =< s(254) 2.76/2.79 s(256) =< s(248)*3+2 2.76/2.79 s(257) =< s(253)*4+3 2.76/2.79 s(258) =< s(248)*2-1 2.76/2.79 s(259) =< s(253)*2-1 2.76/2.79 s(260) =< s(252)*s(256) 2.76/2.79 s(261) =< s(252)*s(257) 2.76/2.79 s(262) =< s(252)*aux(122) 2.76/2.79 s(263) =< s(260)*3 2.76/2.79 s(264) =< s(260) 2.76/2.79 s(263) =< s(261)*3 2.76/2.79 s(264) =< s(261) 2.76/2.79 s(251) =< s(264)+s(250) 2.76/2.79 s(262) =< s(264)+s(250) 2.76/2.79 s(262) =< s(264)+s(254) 2.76/2.79 s(265) =< s(251)*s(258) 2.76/2.79 s(266) =< s(251)*s(258) 2.76/2.79 s(267) =< s(251)*s(259) 2.76/2.79 s(266) =< s(251)*s(259) 2.76/2.79 s(268) =< s(265) 2.76/2.79 s(268) =< s(267) 2.76/2.79 s(262) =< s(263)+s(266)+s(244) 2.76/2.79 s(262) =< s(263)+s(268)+s(245) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,C>=3,D>=2*C+1] 2.76/2.79 2.76/2.79 * Chain [42]: 1*s(269)+1*s(270)+1 2.76/2.79 Such that:s(270) =< -8*B+3*D 2.76/2.79 s(269) =< -2*B+D 2.76/2.79 s(270) =< B 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,C>=4,4*D>=11*C] 2.76/2.79 2.76/2.79 * Chain [41]: 1*s(271)+1*s(280)+2*s(281)+1*s(290)+1 2.76/2.79 Such that:s(274) =< -5*B+2*D 2.76/2.79 s(274) =< B 2.76/2.79 s(275) =< -5*C+2*D 2.76/2.79 s(273) =< -4*C+2*D 2.76/2.79 s(278) =< C/6 2.76/2.79 s(282) =< D/4 2.76/2.79 aux(124) =< -13*C+5*D 2.76/2.79 aux(125) =< -2*C+D 2.76/2.79 aux(126) =< C 2.76/2.79 aux(127) =< 2*C 2.76/2.79 s(272) =< aux(124) 2.76/2.79 s(273) =< aux(124) 2.76/2.79 s(271) =< aux(125) 2.76/2.79 s(275) =< aux(125) 2.76/2.79 s(275) =< aux(126) 2.76/2.79 s(280) =< aux(126) 2.76/2.79 s(281) =< aux(126) 2.76/2.79 s(272) =< aux(127) 2.76/2.79 s(273) =< aux(127) 2.76/2.79 s(284) =< s(278)*3+2 2.76/2.79 s(285) =< s(282)*4+3 2.76/2.79 s(286) =< s(278)*2-1 2.76/2.79 s(287) =< s(282)*2-1 2.76/2.79 s(288) =< s(281)*s(284) 2.76/2.79 s(289) =< s(281)*s(285) 2.76/2.79 s(290) =< s(281)*aux(126) 2.76/2.79 s(291) =< s(288)*3 2.76/2.79 s(292) =< s(288) 2.76/2.79 s(291) =< s(289)*3 2.76/2.79 s(292) =< s(289) 2.76/2.79 s(280) =< s(292)+s(275) 2.76/2.79 s(290) =< s(292)+s(275) 2.76/2.79 s(290) =< s(292)+s(274) 2.76/2.79 s(293) =< s(280)*s(286) 2.76/2.79 s(294) =< s(280)*s(286) 2.76/2.79 s(295) =< s(280)*s(287) 2.76/2.79 s(294) =< s(280)*s(287) 2.76/2.79 s(296) =< s(293) 2.76/2.79 s(296) =< s(295) 2.76/2.79 s(290) =< s(291)+s(294)+s(272) 2.76/2.79 s(290) =< s(291)+s(296)+s(273) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,C>=5,D>=2*C+2] 2.76/2.79 2.76/2.79 * Chain [40]: 1*s(297)+1*s(306)+3*s(307)+1*s(318)+1 2.76/2.79 Such that:s(301) =< 2*A-5*B 2.76/2.79 s(300) =< 2*A-5*C 2.76/2.79 s(299) =< -4*B+2*D 2.76/2.79 s(301) =< -2*B+D 2.76/2.79 s(301) =< B 2.76/2.79 s(297) =< -2*C+D 2.76/2.79 s(304) =< C/6 2.76/2.79 s(308) =< D/4 2.76/2.79 aux(128) =< 5*A-13*B 2.76/2.79 aux(129) =< 2*B 2.76/2.79 aux(130) =< C 2.76/2.79 s(298) =< aux(128) 2.76/2.79 s(299) =< aux(128) 2.76/2.79 s(298) =< aux(129) 2.76/2.79 s(299) =< aux(129) 2.76/2.79 s(300) =< aux(130) 2.76/2.79 s(306) =< aux(130) 2.76/2.79 s(307) =< aux(130) 2.76/2.79 s(312) =< s(304)*3+2 2.76/2.79 s(313) =< s(308)*4+3 2.76/2.79 s(314) =< s(304)*2-1 2.76/2.79 s(315) =< s(308)*2-1 2.76/2.79 s(316) =< s(307)*s(312) 2.76/2.79 s(317) =< s(307)*s(313) 2.76/2.79 s(318) =< s(307)*aux(130) 2.76/2.79 s(319) =< s(316)*3 2.76/2.79 s(320) =< s(316) 2.76/2.79 s(319) =< s(317)*3 2.76/2.79 s(320) =< s(317) 2.76/2.79 s(306) =< s(320)+s(301) 2.76/2.79 s(318) =< s(320)+s(301) 2.76/2.79 s(318) =< s(320)+s(300) 2.76/2.79 s(321) =< s(306)*s(314) 2.76/2.79 s(322) =< s(306)*s(314) 2.76/2.79 s(323) =< s(306)*s(315) 2.76/2.79 s(322) =< s(306)*s(315) 2.76/2.79 s(324) =< s(321) 2.76/2.79 s(324) =< s(323) 2.76/2.79 s(318) =< s(319)+s(322)+s(298) 2.76/2.79 s(318) =< s(319)+s(324)+s(299) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,C>=7,D>=2*C+3] 2.76/2.79 2.76/2.79 * Chain [39]: 1*s(325)+1 2.76/2.79 Such that:s(325) =< -5*C+3*D 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,3*D>=5*C+1,2*C>=D+1] 2.76/2.79 2.76/2.79 * Chain [38]: 1 2.76/2.79 with precondition: [D=A,C=B,2*D>=3*C+1,2*C>=D+1] 2.76/2.79 2.76/2.79 * Chain [37]: 1 2.76/2.79 with precondition: [D=A,C=B,D>=C+1,2*C>=D+1] 2.76/2.79 2.76/2.79 * Chain [36]: 1*s(333)+1*s(334)+1*s(337)+1*s(344)+1*s(357)+1*s(358)+1*s(361)+1*s(368)+1 2.76/2.79 Such that:aux(131) =< -A+2*C 2.76/2.79 s(332) =< A-B 2.76/2.79 s(331) =< A-C 2.76/2.79 s(336) =< 2*A-3*B 2.76/2.79 s(327) =< 2*A-2*B 2.76/2.79 s(355) =< 2*A-3*C 2.76/2.79 s(354) =< 5*A-8*B 2.76/2.79 s(327) =< 6*A-9*C 2.76/2.79 s(333) =< A/2-C/2 2.76/2.79 s(335) =< A/4 2.76/2.79 s(334) =< A/4-C/4 2.76/2.79 s(327) =< 9/2*A-7*C 2.76/2.79 s(326) =< -8*B+5*D 2.76/2.79 s(352) =< -2*B+2*D 2.76/2.79 s(360) =< -B+D 2.76/2.79 s(359) =< 2*B-D 2.76/2.79 s(357) =< -B/2+D/2 2.76/2.79 s(358) =< -B/4+D/4 2.76/2.79 s(356) =< B/6 2.76/2.79 s(327) =< -2*C+2*D 2.76/2.79 s(332) =< -C+D 2.76/2.79 s(330) =< C/6 2.76/2.79 s(351) =< D 2.76/2.79 s(353) =< D/4 2.76/2.79 aux(132) =< -8*C+5*D 2.76/2.79 aux(133) =< -3*C+2*D 2.76/2.79 s(326) =< aux(132) 2.76/2.79 s(354) =< aux(132) 2.76/2.79 s(336) =< aux(133) 2.76/2.79 s(355) =< aux(133) 2.76/2.79 s(332) =< s(336) 2.76/2.79 s(334) =< aux(131) 2.76/2.79 s(333) =< aux(131) 2.76/2.79 s(337) =< aux(131) 2.76/2.79 s(338) =< s(330)*3+2 2.76/2.79 s(339) =< s(335)*4+3 2.76/2.79 s(340) =< s(330)*2-1 2.76/2.79 s(341) =< s(335)*2-1 2.76/2.79 s(342) =< s(337)*s(338) 2.76/2.79 s(343) =< s(337)*s(339) 2.76/2.79 s(344) =< s(334)*s(331) 2.76/2.79 s(345) =< s(342)*3 2.76/2.79 s(346) =< s(342) 2.76/2.79 s(345) =< s(343)*3 2.76/2.79 s(346) =< s(343) 2.76/2.79 s(333) =< s(346)+s(332) 2.76/2.79 s(344) =< s(346)+s(332) 2.76/2.79 s(344) =< s(346)+s(336) 2.76/2.79 s(347) =< s(333)*s(340) 2.76/2.79 s(348) =< s(333)*s(340) 2.76/2.79 s(349) =< s(333)*s(341) 2.76/2.79 s(348) =< s(333)*s(341) 2.76/2.79 s(350) =< s(347) 2.76/2.79 s(350) =< s(349) 2.76/2.79 s(344) =< s(345)+s(348)+s(326) 2.76/2.79 s(344) =< s(345)+s(350)+s(327) 2.76/2.79 s(351) =< s(360) 2.76/2.79 s(358) =< s(359) 2.76/2.79 s(357) =< s(359) 2.76/2.79 s(361) =< s(359) 2.76/2.79 s(362) =< s(356)*3+2 2.76/2.79 s(363) =< s(353)*4+3 2.76/2.79 s(364) =< s(356)*2-1 2.76/2.79 s(365) =< s(353)*2-1 2.76/2.79 s(366) =< s(361)*s(362) 2.76/2.79 s(367) =< s(361)*s(363) 2.76/2.79 s(368) =< s(358)*s(360) 2.76/2.79 s(369) =< s(366)*3 2.76/2.79 s(370) =< s(366) 2.76/2.79 s(369) =< s(367)*3 2.76/2.79 s(370) =< s(367) 2.76/2.79 s(357) =< s(370)+s(351) 2.76/2.79 s(368) =< s(370)+s(351) 2.76/2.79 s(368) =< s(370)+s(355) 2.76/2.79 s(371) =< s(357)*s(364) 2.76/2.79 s(372) =< s(357)*s(364) 2.76/2.79 s(373) =< s(357)*s(365) 2.76/2.79 s(372) =< s(357)*s(365) 2.76/2.79 s(374) =< s(371) 2.76/2.79 s(374) =< s(373) 2.76/2.79 s(368) =< s(369)+s(372)+s(354) 2.76/2.79 s(368) =< s(369)+s(374)+s(352) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,D>=C+1,2*C>=D+2] 2.76/2.79 2.76/2.79 * Chain [35]: 1*s(383)+2*s(384)+2*s(386)+1*s(393)+1*s(404)+1*s(417)+1 2.76/2.79 Such that:aux(136) =< 2*A-3*B 2.76/2.79 s(376) =< 2*A-2*B 2.76/2.79 s(376) =< 5*A-8*B 2.76/2.79 s(402) =< -9*B+6*D 2.76/2.79 s(402) =< -7*B+9/2*D 2.76/2.79 s(406) =< -3*B+2*D 2.76/2.79 s(402) =< -9*C+6*D 2.76/2.79 s(402) =< -7*C+9/2*D 2.76/2.79 s(376) =< -2*C+2*D 2.76/2.79 s(378) =< -C+D 2.76/2.79 aux(139) =< -A+2*B 2.76/2.79 aux(140) =< A-B 2.76/2.79 aux(141) =< A/2-B/2 2.76/2.79 aux(142) =< A/4 2.76/2.79 aux(143) =< A/4-B/4 2.76/2.79 aux(144) =< -8*B+5*D 2.76/2.79 aux(145) =< B/6 2.76/2.79 aux(146) =< -8*C+5*D 2.76/2.79 aux(147) =< -3*C+2*D 2.76/2.79 s(383) =< aux(141) 2.76/2.79 s(404) =< aux(141) 2.76/2.79 s(384) =< aux(143) 2.76/2.79 s(375) =< aux(144) 2.76/2.79 s(375) =< aux(146) 2.76/2.79 s(406) =< aux(147) 2.76/2.79 s(409) =< s(406) 2.76/2.79 s(409) =< aux(140) 2.76/2.79 s(384) =< aux(139) 2.76/2.79 s(404) =< aux(139) 2.76/2.79 s(386) =< aux(139) 2.76/2.79 s(387) =< aux(145)*3+2 2.76/2.79 s(388) =< aux(142)*4+3 2.76/2.79 s(389) =< aux(145)*2-1 2.76/2.79 s(390) =< aux(142)*2-1 2.76/2.79 s(391) =< s(386)*s(387) 2.76/2.79 s(392) =< s(386)*s(388) 2.76/2.79 s(417) =< s(384)*aux(140) 2.76/2.79 s(394) =< s(391)*3 2.76/2.79 s(395) =< s(391) 2.76/2.79 s(394) =< s(392)*3 2.76/2.79 s(395) =< s(392) 2.76/2.79 s(404) =< s(395)+s(409) 2.76/2.79 s(417) =< s(395)+s(409) 2.76/2.79 s(417) =< s(395)+s(406) 2.76/2.79 s(420) =< s(404)*s(389) 2.76/2.79 s(421) =< s(404)*s(389) 2.76/2.79 s(422) =< s(404)*s(390) 2.76/2.79 s(421) =< s(404)*s(390) 2.76/2.79 s(423) =< s(420) 2.76/2.79 s(423) =< s(422) 2.76/2.79 s(417) =< s(394)+s(421)+s(375) 2.76/2.79 s(417) =< s(394)+s(423)+s(402) 2.76/2.79 s(378) =< aux(140) 2.76/2.79 s(377) =< aux(136) 2.76/2.79 s(378) =< aux(136) 2.76/2.79 s(376) =< aux(146) 2.76/2.79 s(377) =< aux(147) 2.76/2.79 s(378) =< aux(147) 2.76/2.79 s(383) =< aux(139) 2.76/2.79 s(393) =< s(384)*aux(140) 2.76/2.79 s(383) =< s(395)+s(378) 2.76/2.79 s(393) =< s(395)+s(378) 2.76/2.79 s(393) =< s(395)+s(377) 2.76/2.79 s(396) =< s(383)*s(389) 2.76/2.79 s(397) =< s(383)*s(389) 2.76/2.79 s(398) =< s(383)*s(390) 2.76/2.79 s(397) =< s(383)*s(390) 2.76/2.79 s(399) =< s(396) 2.76/2.79 s(399) =< s(398) 2.76/2.79 s(393) =< s(394)+s(397)+s(375) 2.76/2.79 s(393) =< s(394)+s(399)+s(376) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,D>=C+2,2*C>=D+3] 2.76/2.79 2.76/2.79 * Chain [34]: 1*s(432)+2*s(433)+2*s(436)+2*s(437)+1*s(444)+1*s(454)+1*s(469)+1 2.76/2.79 Such that:s(427) =< 2*A-3*B 2.76/2.79 s(425) =< 5*A-8*B 2.76/2.79 s(424) =< 5*A-8*C 2.76/2.79 s(456) =< -8*B+5*D 2.76/2.79 s(425) =< -2*C+2*D 2.76/2.79 s(427) =< -C+D 2.76/2.79 aux(152) =< -A+2*B 2.76/2.79 aux(153) =< A-B 2.76/2.79 aux(154) =< 2*A-2*B 2.76/2.79 aux(155) =< A/2-B/2 2.76/2.79 aux(156) =< A/4 2.76/2.79 aux(157) =< A/4-B/4 2.76/2.79 aux(158) =< -3*B+2*D 2.76/2.79 aux(159) =< B/6 2.76/2.79 aux(160) =< -8*C+5*D 2.76/2.79 aux(161) =< -3*C+2*D 2.76/2.79 s(425) =< aux(154) 2.76/2.79 s(453) =< aux(154) 2.76/2.79 s(432) =< aux(155) 2.76/2.79 s(454) =< aux(155) 2.76/2.79 s(433) =< aux(157) 2.76/2.79 s(426) =< aux(158) 2.76/2.79 s(456) =< aux(160) 2.76/2.79 s(426) =< aux(161) 2.76/2.79 s(453) =< s(456) 2.76/2.79 s(460) =< s(426) 2.76/2.79 s(460) =< aux(153) 2.76/2.79 s(433) =< aux(153) 2.76/2.79 s(454) =< aux(153) 2.76/2.79 s(436) =< aux(153) 2.76/2.79 s(433) =< aux(152) 2.76/2.79 s(454) =< aux(152) 2.76/2.79 s(437) =< aux(152) 2.76/2.79 s(438) =< aux(159)*3+2 2.76/2.79 s(439) =< aux(156)*4+3 2.76/2.79 s(440) =< aux(159)*2-1 2.76/2.79 s(441) =< aux(156)*2-1 2.76/2.79 s(442) =< s(437)*s(438) 2.76/2.79 s(443) =< s(437)*s(439) 2.76/2.79 s(469) =< s(433)*aux(153) 2.76/2.79 s(445) =< s(442)*3 2.76/2.79 s(446) =< s(442) 2.76/2.79 s(445) =< s(443)*3 2.76/2.79 s(446) =< s(443) 2.76/2.79 s(454) =< s(446)+s(460) 2.76/2.79 s(469) =< s(446)+s(460) 2.76/2.79 s(469) =< s(446)+s(426) 2.76/2.79 s(472) =< s(454)*s(440) 2.76/2.79 s(473) =< s(454)*s(440) 2.76/2.79 s(474) =< s(454)*s(441) 2.76/2.79 s(473) =< s(454)*s(441) 2.76/2.79 s(475) =< s(472) 2.76/2.79 s(475) =< s(474) 2.76/2.79 s(469) =< s(445)+s(473)+s(456) 2.76/2.79 s(469) =< s(445)+s(475)+s(453) 2.76/2.79 s(427) =< aux(153) 2.76/2.79 s(424) =< aux(160) 2.76/2.79 s(425) =< aux(160) 2.76/2.79 s(427) =< aux(161) 2.76/2.79 s(432) =< aux(153) 2.76/2.79 s(432) =< aux(152) 2.76/2.79 s(444) =< s(433)*aux(153) 2.76/2.79 s(432) =< s(446)+s(427) 2.76/2.79 s(444) =< s(446)+s(427) 2.76/2.79 s(444) =< s(446)+s(426) 2.76/2.79 s(447) =< s(432)*s(440) 2.76/2.79 s(448) =< s(432)*s(440) 2.76/2.79 s(449) =< s(432)*s(441) 2.76/2.79 s(448) =< s(432)*s(441) 2.76/2.79 s(450) =< s(447) 2.76/2.79 s(450) =< s(449) 2.76/2.79 s(444) =< s(445)+s(448)+s(424) 2.76/2.79 s(444) =< s(445)+s(450)+s(425) 2.76/2.79 2.76/2.79 with precondition: [D=A,C=B,D>=C+3,2*C>=D+4] 2.76/2.79 2.76/2.79 2.76/2.79 #### Cost of chains of start0(A,B,C,D,E): 2.76/2.79 * Chain [104]: 1 2.76/2.79 with precondition: [3*A=5*C,A>=5] 2.76/2.79 2.76/2.79 * Chain [103]: 1 2.76/2.79 with precondition: [2*A=3*C,A>=3] 2.76/2.79 2.76/2.79 * Chain [102]: 0 2.76/2.79 with precondition: [A=2*C,A>=2] 2.76/2.79 2.76/2.79 * Chain [101]: 0 2.76/2.79 with precondition: [3*A=2*C,A>=2] 2.76/2.79 2.76/2.79 * Chain [100]: 0 2.76/2.79 with precondition: [A=C,A>=1] 2.76/2.79 2.76/2.79 * Chain [99]: 0 2.76/2.79 with precondition: [2*A=C,A>=1] 2.76/2.79 2.76/2.79 * Chain [98]: 0 2.76/2.79 with precondition: [0>=A] 2.76/2.79 2.76/2.79 * Chain [97]: 0 2.76/2.79 with precondition: [0>=C,A>=1] 2.76/2.79 2.76/2.79 * Chain [96]: 0 2.76/2.79 with precondition: [A>=1,C>=A+1] 2.76/2.79 2.76/2.79 * Chain [95]: 1*s(482)+1*s(488)+2*s(495)+2*s(496)+1*s(503)+1*s(518)+0 2.76/2.79 Such that:s(478) =< 6*A-3*C 2.76/2.79 s(478) =< 9/2*A-5/2*C 2.76/2.79 s(478) =< 3*C 2.76/2.79 aux(162) =< -A+C 2.76/2.79 aux(163) =< A 2.76/2.79 aux(164) =< 2*A 2.76/2.79 aux(165) =< 2*A-C 2.76/2.79 aux(166) =< 5*A-3*C 2.76/2.79 aux(167) =< A/2 2.76/2.79 aux(168) =< A/4 2.76/2.79 aux(169) =< C 2.76/2.79 aux(170) =< 2*C 2.76/2.79 aux(171) =< C/6 2.76/2.79 s(478) =< aux(164) 2.76/2.79 s(479) =< aux(165) 2.76/2.79 s(491) =< aux(165) 2.76/2.79 s(481) =< aux(166) 2.76/2.79 s(490) =< aux(166) 2.76/2.79 s(482) =< aux(167) 2.76/2.79 s(488) =< aux(167) 2.76/2.79 s(479) =< aux(169) 2.76/2.79 s(491) =< aux(169) 2.76/2.79 s(478) =< aux(170) 2.76/2.79 s(481) =< aux(170) 2.76/2.79 s(490) =< aux(170) 2.76/2.79 s(481) =< s(490) 2.76/2.79 s(479) =< s(491) 2.76/2.79 s(494) =< aux(163) 2.76/2.79 s(495) =< aux(168) 2.76/2.79 s(494) =< s(479) 2.76/2.79 s(495) =< aux(162) 2.76/2.79 s(482) =< aux(162) 2.76/2.79 s(496) =< aux(162) 2.76/2.79 s(497) =< aux(171)*3+2 2.76/2.79 s(498) =< aux(168)*4+3 2.76/2.79 s(499) =< aux(171)*2-1 2.76/2.79 s(500) =< aux(168)*2-1 2.76/2.79 s(501) =< s(496)*s(497) 2.76/2.79 s(502) =< s(496)*s(498) 2.76/2.79 s(503) =< s(495)*aux(163) 2.76/2.79 s(504) =< s(501)*3 2.76/2.79 s(505) =< s(501) 2.76/2.79 s(504) =< s(502)*3 2.76/2.79 s(505) =< s(502) 2.76/2.79 s(482) =< s(505)+s(494) 2.76/2.79 s(503) =< s(505)+s(494) 2.76/2.79 s(503) =< s(505)+s(479) 2.76/2.79 s(506) =< s(482)*s(499) 2.76/2.79 s(507) =< s(482)*s(499) 2.76/2.79 s(508) =< s(482)*s(500) 2.76/2.79 s(507) =< s(482)*s(500) 2.76/2.79 s(509) =< s(506) 2.76/2.79 s(509) =< s(508) 2.76/2.79 s(503) =< s(504)+s(507)+s(481) 2.76/2.79 s(503) =< s(504)+s(509)+s(478) 2.76/2.79 s(488) =< aux(162) 2.76/2.79 s(518) =< s(495)*aux(163) 2.76/2.79 s(488) =< s(505)+aux(163) 2.76/2.79 s(518) =< s(505)+aux(163) 2.76/2.79 s(518) =< s(505)+s(479) 2.76/2.79 s(521) =< s(488)*s(499) 2.76/2.79 s(522) =< s(488)*s(499) 2.76/2.79 s(523) =< s(488)*s(500) 2.76/2.79 s(522) =< s(488)*s(500) 2.76/2.79 s(524) =< s(521) 2.76/2.79 s(524) =< s(523) 2.76/2.79 s(518) =< s(504)+s(522)+s(481) 2.76/2.79 s(518) =< s(504)+s(524)+aux(164) 2.76/2.79 2.76/2.79 with precondition: [A>=1,C>=A+2] 2.76/2.79 2.76/2.79 * Chain [94]: 1*s(538)+1*s(539)+2*s(541)+2*s(543)+1*s(550)+1*s(558)+0 2.76/2.79 Such that:s(530) =< -A+C 2.76/2.79 s(525) =< 2*A 2.76/2.79 s(527) =< 6*A-3*C 2.76/2.79 s(532) =< A/2 2.76/2.79 s(533) =< A/4 2.76/2.79 s(527) =< 9/2*A-5/2*C 2.76/2.79 s(527) =< 3*C 2.76/2.79 s(535) =< C/6 2.76/2.79 aux(172) =< A 2.76/2.79 aux(173) =< 2*A-C 2.76/2.79 aux(174) =< 5*A-3*C 2.76/2.79 aux(175) =< C 2.76/2.79 aux(176) =< 2*C 2.76/2.79 s(529) =< aux(172) 2.76/2.79 s(526) =< aux(173) 2.76/2.79 s(528) =< aux(173) 2.76/2.79 s(525) =< aux(174) 2.76/2.79 s(534) =< aux(174) 2.76/2.79 s(526) =< aux(175) 2.76/2.79 s(528) =< aux(175) 2.76/2.79 s(525) =< aux(176) 2.76/2.79 s(527) =< aux(176) 2.76/2.79 s(534) =< aux(176) 2.76/2.79 s(538) =< s(532) 2.76/2.79 s(539) =< s(532) 2.76/2.79 s(528) =< s(526) 2.76/2.79 s(541) =< s(533) 2.76/2.79 s(542) =< s(528) 2.76/2.79 s(542) =< aux(172) 2.76/2.79 s(541) =< s(530) 2.76/2.79 s(539) =< s(530) 2.76/2.79 s(543) =< s(530) 2.76/2.79 s(544) =< s(535)*3+2 2.76/2.79 s(545) =< s(533)*4+3 2.76/2.79 s(546) =< s(535)*2-1 2.76/2.79 s(547) =< s(533)*2-1 2.76/2.79 s(548) =< s(543)*s(544) 2.76/2.79 s(549) =< s(543)*s(545) 2.76/2.79 s(550) =< s(541)*aux(172) 2.76/2.79 s(551) =< s(548)*3 2.76/2.79 s(552) =< s(548) 2.76/2.79 s(551) =< s(549)*3 2.76/2.79 s(552) =< s(549) 2.76/2.79 s(539) =< s(552)+s(542) 2.76/2.79 s(550) =< s(552)+s(542) 2.76/2.79 s(550) =< s(552)+s(528) 2.76/2.79 s(553) =< s(539)*s(546) 2.76/2.79 s(554) =< s(539)*s(546) 2.76/2.79 s(555) =< s(539)*s(547) 2.76/2.79 s(554) =< s(539)*s(547) 2.76/2.79 s(556) =< s(553) 2.76/2.79 s(556) =< s(555) 2.76/2.79 s(550) =< s(551)+s(554)+s(534) 2.76/2.79 s(550) =< s(551)+s(556)+s(527) 2.76/2.79 s(529) =< s(526) 2.76/2.79 s(525) =< s(534) 2.76/2.79 s(538) =< s(530) 2.76/2.79 s(558) =< s(541)*aux(172) 2.76/2.79 s(538) =< s(552)+s(529) 2.76/2.79 s(558) =< s(552)+s(529) 2.76/2.79 s(558) =< s(552)+s(526) 2.76/2.79 s(559) =< s(538)*s(546) 2.76/2.79 s(560) =< s(538)*s(546) 2.76/2.79 s(561) =< s(538)*s(547) 2.76/2.79 s(560) =< s(538)*s(547) 2.76/2.79 s(562) =< s(559) 2.76/2.79 s(562) =< s(561) 2.76/2.79 s(558) =< s(551)+s(560)+s(534) 2.76/2.79 s(558) =< s(551)+s(562)+s(525) 2.76/2.79 2.76/2.79 with precondition: [A>=2,C>=A+3] 2.76/2.79 2.76/2.79 * Chain [93]: 1*s(577)+1*s(578)+2*s(580)+2*s(582)+2*s(583)+1*s(590)+1*s(597)+0 2.76/2.79 Such that:s(567) =< -A+C 2.76/2.79 s(570) =< A/2 2.76/2.79 s(571) =< A/4 2.76/2.79 s(573) =< C/6 2.76/2.79 aux(177) =< A 2.76/2.79 aux(178) =< 2*A 2.76/2.79 aux(179) =< 2*A-C 2.76/2.79 aux(180) =< 5*A-3*C 2.76/2.79 aux(181) =< C 2.76/2.79 aux(182) =< 2*C 2.76/2.79 s(563) =< aux(177) 2.76/2.79 s(564) =< aux(178) 2.76/2.79 s(563) =< aux(179) 2.76/2.79 s(572) =< aux(179) 2.76/2.79 s(564) =< aux(180) 2.76/2.79 s(565) =< aux(180) 2.76/2.79 s(574) =< aux(180) 2.76/2.79 s(563) =< aux(181) 2.76/2.79 s(572) =< aux(181) 2.76/2.79 s(564) =< aux(182) 2.76/2.79 s(565) =< aux(182) 2.76/2.79 s(574) =< aux(182) 2.76/2.79 s(576) =< aux(178) 2.76/2.79 s(577) =< s(570) 2.76/2.79 s(578) =< s(570) 2.76/2.79 s(565) =< s(574) 2.76/2.79 s(580) =< s(571) 2.76/2.79 s(576) =< s(565) 2.76/2.79 s(581) =< s(572) 2.76/2.79 s(581) =< aux(177) 2.76/2.79 s(580) =< aux(177) 2.76/2.79 s(578) =< aux(177) 2.76/2.79 s(582) =< aux(177) 2.76/2.79 s(580) =< s(567) 2.76/2.79 s(578) =< s(567) 2.76/2.79 s(583) =< s(567) 2.76/2.79 s(584) =< s(573)*3+2 2.76/2.79 s(585) =< s(571)*4+3 2.76/2.79 s(586) =< s(573)*2-1 2.76/2.79 s(587) =< s(571)*2-1 2.76/2.79 s(588) =< s(583)*s(584) 2.76/2.79 s(589) =< s(583)*s(585) 2.76/2.79 s(590) =< s(580)*aux(177) 2.76/2.79 s(591) =< s(588)*3 2.76/2.79 s(592) =< s(588) 2.76/2.79 s(591) =< s(589)*3 2.76/2.79 s(592) =< s(589) 2.76/2.79 s(578) =< s(592)+s(581) 2.76/2.79 s(590) =< s(592)+s(581) 2.76/2.79 s(590) =< s(592)+s(572) 2.76/2.79 s(593) =< s(578)*s(586) 2.76/2.79 s(594) =< s(578)*s(586) 2.76/2.79 s(595) =< s(578)*s(587) 2.76/2.79 s(594) =< s(578)*s(587) 2.76/2.79 s(596) =< s(593) 2.76/2.79 s(596) =< s(595) 2.76/2.79 s(590) =< s(591)+s(594)+s(565) 2.76/2.79 s(590) =< s(591)+s(596)+s(576) 2.76/2.79 s(564) =< s(574) 2.76/2.79 s(563) =< s(572) 2.76/2.79 s(577) =< aux(177) 2.76/2.79 s(577) =< s(567) 2.76/2.79 s(597) =< s(580)*aux(177) 2.76/2.79 s(577) =< s(592)+s(563) 2.76/2.79 s(597) =< s(592)+s(563) 2.76/2.79 s(597) =< s(592)+s(572) 2.76/2.79 s(598) =< s(577)*s(586) 2.76/2.79 s(599) =< s(577)*s(586) 2.76/2.79 s(600) =< s(577)*s(587) 2.76/2.79 s(599) =< s(577)*s(587) 2.76/2.79 s(601) =< s(598) 2.76/2.79 s(601) =< s(600) 2.76/2.79 s(597) =< s(591)+s(599)+s(565) 2.76/2.79 s(597) =< s(591)+s(601)+s(564) 2.76/2.79 2.76/2.79 with precondition: [A>=3,C>=A+4] 2.76/2.79 2.76/2.79 * Chain [92]: 1*s(602)+0 2.76/2.79 Such that:s(602) =< A-2*C 2.76/2.79 2.76/2.79 with precondition: [C>=1,A>=3*C] 2.76/2.79 2.76/2.79 * Chain [91]: 1*s(603)+0 2.76/2.79 Such that:s(603) =< A-2*C 2.76/2.79 2.76/2.79 with precondition: [C>=1,A>=2*C+1] 2.76/2.79 2.76/2.79 * Chain [90]: 0 2.76/2.79 with precondition: [C>=1,A>=C+1] 2.76/2.79 2.76/2.79 * Chain [89]: 1*s(604)+1 2.76/2.79 Such that:s(604) =< A-2*C 2.76/2.79 2.76/2.79 with precondition: [C>=2,2*A>=5*C] 2.76/2.79 2.76/2.79 * Chain [88]: 1*s(605)+1 2.76/2.79 Such that:s(605) =< A-2*C 2.76/2.79 2.76/2.79 with precondition: [C>=2,A>=2*C+1] 2.76/2.79 2.76/2.79 * Chain [87]: 1*s(606)+1 2.76/2.79 Such that:s(606) =< A-2*C 2.76/2.79 2.76/2.79 with precondition: [C>=3,3*A>=8*C] 2.76/2.79 2.76/2.79 * Chain [86]: 1*s(607)+1 2.76/2.79 Such that:s(607) =< A-2*C 2.76/2.79 2.76/2.79 with precondition: [C>=3,2*A>=5*C+1] 2.76/2.79 2.76/2.79 * Chain [85]: 2*s(616)+1*s(618)+3*s(619)+1*s(626)+1*s(636)+1*s(637)+1*s(650)+1 2.76/2.79 Such that:s(640) =< A 2.76/2.79 s(608) =< 2*A-4*C 2.76/2.79 s(608) =< 6*A-15*C 2.76/2.79 s(636) =< C/2 2.76/2.79 s(637) =< C/4 2.76/2.79 aux(187) =< A-2*C 2.76/2.79 aux(188) =< 2*A-5*C 2.76/2.79 aux(189) =< 5*A-13*C 2.76/2.79 aux(190) =< A/4 2.76/2.79 aux(191) =< C 2.76/2.79 aux(192) =< 2*C 2.76/2.79 aux(193) =< C/6 2.76/2.79 s(616) =< aux(187) 2.76/2.79 s(609) =< aux(188) 2.76/2.79 s(610) =< aux(189) 2.76/2.79 s(609) =< aux(191) 2.76/2.79 s(610) =< aux(192) 2.76/2.79 s(636) =< aux(191) 2.76/2.79 s(637) =< aux(191) 2.76/2.79 s(640) =< aux(191) 2.76/2.79 s(619) =< aux(191) 2.76/2.79 s(620) =< aux(193)*3+2 2.76/2.79 s(621) =< aux(190)*4+3 2.76/2.79 s(622) =< aux(193)*2-1 2.76/2.79 s(623) =< aux(190)*2-1 2.76/2.79 s(624) =< s(619)*s(620) 2.76/2.79 s(625) =< s(619)*s(621) 2.76/2.79 s(650) =< s(637)*aux(191) 2.76/2.79 s(627) =< s(624)*3 2.76/2.79 s(628) =< s(624) 2.76/2.79 s(627) =< s(625)*3 2.76/2.79 s(628) =< s(625) 2.76/2.79 s(636) =< s(628)+s(640) 2.76/2.79 s(650) =< s(628)+s(640) 2.76/2.79 s(650) =< s(628)+s(609) 2.76/2.79 s(653) =< s(636)*s(622) 2.76/2.79 s(654) =< s(636)*s(622) 2.76/2.79 s(655) =< s(636)*s(623) 2.76/2.79 s(654) =< s(636)*s(623) 2.76/2.79 s(656) =< s(653) 2.76/2.79 s(656) =< s(655) 2.76/2.79 s(650) =< s(627)+s(654)+s(610) 2.76/2.79 s(650) =< s(627)+s(656)+aux(192) 2.76/2.79 s(608) =< aux(192) 2.76/2.79 s(617) =< aux(187) 2.76/2.79 s(617) =< aux(191) 2.76/2.79 s(618) =< aux(191) 2.76/2.79 s(617) =< s(609) 2.76/2.79 s(626) =< s(619)*aux(191) 2.76/2.79 s(618) =< s(628)+s(617) 2.76/2.79 s(626) =< s(628)+s(617) 2.76/2.79 s(626) =< s(628)+s(609) 2.76/2.79 s(629) =< s(618)*s(622) 2.76/2.79 s(630) =< s(618)*s(622) 2.76/2.79 s(631) =< s(618)*s(623) 2.76/2.79 s(630) =< s(618)*s(623) 2.76/2.79 s(632) =< s(629) 2.76/2.79 s(632) =< s(631) 2.76/2.79 s(626) =< s(627)+s(630)+s(610) 2.76/2.79 s(626) =< s(627)+s(632)+s(608) 2.76/2.79 2.76/2.79 with precondition: [C>=3,A>=2*C+1] 2.76/2.79 2.76/2.79 * Chain [84]: 1*s(657)+1*s(658)+1 2.76/2.79 Such that:s(658) =< A-2*C 2.76/2.79 s(657) =< 3*A-8*C 2.76/2.79 s(657) =< C 2.76/2.79 2.76/2.79 with precondition: [C>=4,4*A>=11*C] 2.76/2.79 2.76/2.79 * Chain [83]: 1*s(659)+1*s(660)+1 2.76/2.79 Such that:s(660) =< A-2*C 2.76/2.79 s(659) =< 3*A-8*C 2.76/2.79 s(659) =< C 2.76/2.79 2.76/2.79 with precondition: [C>=4,3*A>=8*C+1] 2.76/2.79 2.76/2.79 * Chain [82]: 2*s(671)+1*s(672)+3*s(673)+1*s(680)+1*s(690)+1*s(692)+1*s(707)+1 2.76/2.79 Such that:s(663) =< 2*A-4*C 2.76/2.79 s(689) =< 6*A-15*C 2.76/2.79 s(690) =< A/2-C 2.76/2.79 s(692) =< A/4-C/2 2.76/2.79 s(689) =< 9/2*A-23/2*C 2.76/2.79 s(689) =< 3*C 2.76/2.79 aux(197) =< A-2*C 2.76/2.79 aux(198) =< 2*A-5*C 2.76/2.79 aux(199) =< 5*A-13*C 2.76/2.79 aux(200) =< A/4 2.76/2.79 aux(201) =< C 2.76/2.79 aux(202) =< 2*C 2.76/2.79 aux(203) =< C/6 2.76/2.79 s(661) =< aux(198) 2.76/2.79 s(670) =< aux(199) 2.76/2.79 s(662) =< aux(198) 2.76/2.79 s(661) =< aux(201) 2.76/2.79 s(663) =< aux(199) 2.76/2.79 s(671) =< aux(197) 2.76/2.79 s(662) =< aux(197) 2.76/2.79 s(662) =< aux(201) 2.76/2.79 s(672) =< aux(201) 2.76/2.79 s(673) =< aux(201) 2.76/2.79 s(670) =< aux(202) 2.76/2.79 s(663) =< aux(202) 2.76/2.79 s(674) =< aux(203)*3+2 2.76/2.79 s(675) =< aux(200)*4+3 2.76/2.79 s(676) =< aux(203)*2-1 2.76/2.79 s(677) =< aux(200)*2-1 2.76/2.79 s(678) =< s(673)*s(674) 2.76/2.79 s(679) =< s(673)*s(675) 2.76/2.79 s(680) =< s(673)*aux(201) 2.76/2.79 s(681) =< s(678)*3 2.76/2.79 s(682) =< s(678) 2.76/2.79 s(681) =< s(679)*3 2.76/2.79 s(682) =< s(679) 2.76/2.79 s(672) =< s(682)+s(662) 2.76/2.79 s(680) =< s(682)+s(662) 2.76/2.79 s(680) =< s(682)+s(661) 2.76/2.79 s(683) =< s(672)*s(676) 2.76/2.79 s(684) =< s(672)*s(676) 2.76/2.79 s(685) =< s(672)*s(677) 2.76/2.79 s(684) =< s(672)*s(677) 2.76/2.79 s(686) =< s(683) 2.76/2.79 s(686) =< s(685) 2.76/2.79 s(680) =< s(681)+s(684)+s(670) 2.76/2.79 s(680) =< s(681)+s(686)+s(663) 2.76/2.79 s(698) =< aux(197) 2.76/2.79 s(689) =< aux(202) 2.76/2.79 s(690) =< aux(201) 2.76/2.79 s(692) =< aux(201) 2.76/2.79 s(698) =< aux(201) 2.76/2.79 s(699) =< s(661) 2.76/2.79 s(699) =< s(698) 2.76/2.79 s(707) =< s(692)*s(698) 2.76/2.79 s(690) =< s(682)+s(699) 2.76/2.79 s(707) =< s(682)+s(699) 2.76/2.79 s(707) =< s(682)+s(661) 2.76/2.79 s(710) =< s(690)*s(676) 2.76/2.79 s(711) =< s(690)*s(676) 2.76/2.79 s(712) =< s(690)*s(677) 2.76/2.79 s(711) =< s(690)*s(677) 2.76/2.79 s(713) =< s(710) 2.76/2.79 s(713) =< s(712) 2.76/2.79 s(707) =< s(681)+s(711)+s(670) 2.76/2.79 s(707) =< s(681)+s(713)+s(689) 2.76/2.79 2.76/2.79 with precondition: [C>=5,A>=2*C+2] 2.76/2.79 2.76/2.79 * Chain [81]: 2*s(717)+1*s(724)+3*s(725)+1*s(732)+1*s(742)+1*s(744)+1*s(753)+1*s(754)+1*s(761)+1 2.76/2.79 Such that:s(742) =< A/2-C 2.76/2.79 s(744) =< A/4-C/2 2.76/2.79 aux(207) =< A-2*C 2.76/2.79 aux(208) =< 2*A-5*C 2.76/2.79 aux(209) =< 2*A-4*C 2.76/2.79 aux(210) =< 5*A-13*C 2.76/2.79 aux(211) =< A/4 2.76/2.79 aux(212) =< C 2.76/2.79 aux(213) =< 2*C 2.76/2.79 aux(214) =< C/6 2.76/2.79 s(715) =< aux(208) 2.76/2.79 s(716) =< aux(209) 2.76/2.79 s(740) =< aux(209) 2.76/2.79 s(723) =< aux(210) 2.76/2.79 s(717) =< aux(207) 2.76/2.79 s(750) =< aux(207) 2.76/2.79 s(742) =< aux(212) 2.76/2.79 s(744) =< aux(212) 2.76/2.79 s(715) =< aux(212) 2.76/2.79 s(751) =< aux(212) 2.76/2.79 s(750) =< aux(212) 2.76/2.79 s(740) =< aux(213) 2.76/2.79 s(723) =< aux(213) 2.76/2.79 s(751) =< aux(213) 2.76/2.79 s(740) =< s(723) 2.76/2.79 s(752) =< s(715) 2.76/2.79 s(752) =< s(750) 2.76/2.79 s(744) =< s(750) 2.76/2.79 s(742) =< s(750) 2.76/2.79 s(753) =< s(750) 2.76/2.79 s(744) =< s(751) 2.76/2.79 s(742) =< s(751) 2.76/2.79 s(754) =< s(751) 2.76/2.79 s(726) =< aux(214)*3+2 2.76/2.79 s(727) =< aux(211)*4+3 2.76/2.79 s(728) =< aux(214)*2-1 2.76/2.79 s(729) =< aux(211)*2-1 2.76/2.79 s(759) =< s(754)*s(726) 2.76/2.79 s(760) =< s(754)*s(727) 2.76/2.79 s(761) =< s(744)*s(750) 2.76/2.79 s(762) =< s(759)*3 2.76/2.79 s(763) =< s(759) 2.76/2.79 s(762) =< s(760)*3 2.76/2.79 s(763) =< s(760) 2.76/2.79 s(742) =< s(763)+s(752) 2.76/2.79 s(761) =< s(763)+s(752) 2.76/2.79 s(761) =< s(763)+s(715) 2.76/2.79 s(764) =< s(742)*s(728) 2.76/2.79 s(765) =< s(742)*s(728) 2.76/2.79 s(766) =< s(742)*s(729) 2.76/2.79 s(765) =< s(742)*s(729) 2.76/2.79 s(767) =< s(764) 2.76/2.79 s(767) =< s(766) 2.76/2.79 s(761) =< s(762)+s(765)+s(723) 2.76/2.79 s(761) =< s(762)+s(767)+s(740) 2.76/2.79 s(714) =< aux(207) 2.76/2.79 s(714) =< aux(208) 2.76/2.79 s(714) =< aux(212) 2.76/2.79 s(716) =< aux(210) 2.76/2.79 s(716) =< aux(213) 2.76/2.79 s(724) =< aux(212) 2.76/2.79 s(725) =< aux(212) 2.76/2.79 s(730) =< s(725)*s(726) 2.76/2.79 s(731) =< s(725)*s(727) 2.76/2.79 s(732) =< s(725)*aux(212) 2.76/2.79 s(733) =< s(730)*3 2.76/2.79 s(734) =< s(730) 2.76/2.79 s(733) =< s(731)*3 2.76/2.79 s(734) =< s(731) 2.76/2.79 s(724) =< s(734)+s(714) 2.76/2.79 s(732) =< s(734)+s(714) 2.76/2.79 s(732) =< s(734)+s(715) 2.76/2.79 s(735) =< s(724)*s(728) 2.76/2.79 s(736) =< s(724)*s(728) 2.76/2.79 s(737) =< s(724)*s(729) 2.76/2.79 s(736) =< s(724)*s(729) 2.76/2.79 s(738) =< s(735) 2.76/2.79 s(738) =< s(737) 2.76/2.79 s(732) =< s(733)+s(736)+s(723) 2.76/2.79 s(732) =< s(733)+s(738)+s(716) 2.76/2.79 2.76/2.79 with precondition: [C>=7,A>=2*C+3] 2.76/2.79 2.76/2.79 * Chain [80]: 1*s(768)+1 2.76/2.79 Such that:s(768) =< 3*A-5*C 2.76/2.79 2.76/2.79 with precondition: [4*A>=7*C,2*C>=A+1] 2.76/2.79 2.76/2.79 * Chain [79]: 1*s(769)+1 2.76/2.79 Such that:s(769) =< 3*A-5*C 2.76/2.79 2.76/2.79 with precondition: [3*A>=5*C+1,2*C>=A+1] 2.76/2.79 2.76/2.79 * Chain [78]: 1 2.76/2.79 with precondition: [2*A>=3*C+1,2*C>=A+1] 2.76/2.79 2.76/2.79 * Chain [77]: 1*s(770)+0 2.76/2.79 Such that:s(770) =< 3*A-2*C 2.76/2.79 2.76/2.79 with precondition: [4*A>=3*C,C>=A+1] 2.76/2.79 2.76/2.79 * Chain [76]: 1*s(771)+0 2.76/2.79 Such that:s(771) =< 3*A-2*C 2.76/2.79 2.76/2.79 with precondition: [3*A>=2*C+1,C>=A+1] 2.76/2.79 2.76/2.79 * Chain [75]: 0 2.76/2.79 with precondition: [C>=A+1,2*A>=C+1] 2.76/2.79 2.76/2.79 * Chain [74]: 1 2.76/2.79 with precondition: [2*C>=A+1,A>=C+1] 2.76/2.79 2.76/2.79 * Chain [73]: 1*s(779)+2*s(781)+1*s(786)+2*s(794)+1*s(801)+1*s(815)+1 2.76/2.79 Such that:s(790) =< A 2.76/2.79 s(776) =< 6*A-9*C 2.76/2.79 s(776) =< 9/2*A-7*C 2.76/2.79 s(776) =< 3*C 2.76/2.79 aux(215) =< -A+2*C 2.76/2.79 aux(216) =< A-C 2.76/2.79 aux(217) =< 2*A-3*C 2.76/2.79 aux(218) =< 2*A-2*C 2.76/2.79 aux(219) =< 5*A-8*C 2.76/2.79 aux(220) =< A/2-C/2 2.76/2.79 aux(221) =< A/4 2.76/2.79 aux(222) =< A/4-C/4 2.76/2.79 aux(223) =< C 2.76/2.79 aux(224) =< 2*C 2.76/2.79 aux(225) =< C/6 2.76/2.79 s(773) =< aux(216) 2.76/2.79 s(775) =< aux(217) 2.76/2.79 s(793) =< aux(217) 2.76/2.79 s(776) =< aux(218) 2.76/2.79 s(778) =< aux(219) 2.76/2.79 s(792) =< aux(219) 2.76/2.79 s(779) =< aux(220) 2.76/2.79 s(786) =< aux(220) 2.76/2.79 s(781) =< aux(222) 2.76/2.79 s(775) =< aux(223) 2.76/2.79 s(793) =< aux(223) 2.76/2.79 s(776) =< aux(224) 2.76/2.79 s(778) =< aux(224) 2.76/2.79 s(792) =< aux(224) 2.76/2.79 s(778) =< s(792) 2.76/2.79 s(775) =< s(793) 2.76/2.79 s(773) =< s(775) 2.76/2.79 s(781) =< aux(215) 2.76/2.79 s(779) =< aux(215) 2.76/2.79 s(794) =< aux(215) 2.76/2.79 s(795) =< aux(225)*3+2 2.76/2.79 s(796) =< aux(221)*4+3 2.76/2.79 s(797) =< aux(225)*2-1 2.76/2.79 s(798) =< aux(221)*2-1 2.76/2.79 s(799) =< s(794)*s(795) 2.76/2.79 s(800) =< s(794)*s(796) 2.76/2.79 s(801) =< s(781)*aux(216) 2.76/2.79 s(802) =< s(799)*3 2.76/2.79 s(803) =< s(799) 2.76/2.79 s(802) =< s(800)*3 2.76/2.79 s(803) =< s(800) 2.76/2.79 s(779) =< s(803)+s(773) 2.76/2.79 s(801) =< s(803)+s(773) 2.76/2.79 s(801) =< s(803)+s(775) 2.76/2.79 s(804) =< s(779)*s(797) 2.76/2.79 s(805) =< s(779)*s(797) 2.76/2.79 s(806) =< s(779)*s(798) 2.76/2.79 s(805) =< s(779)*s(798) 2.76/2.79 s(807) =< s(804) 2.76/2.79 s(807) =< s(806) 2.76/2.79 s(801) =< s(802)+s(805)+s(778) 2.76/2.79 s(801) =< s(802)+s(807)+s(776) 2.76/2.79 s(790) =< aux(216) 2.76/2.79 s(786) =< aux(215) 2.76/2.79 s(815) =< s(781)*aux(216) 2.76/2.79 s(786) =< s(803)+s(790) 2.76/2.79 s(815) =< s(803)+s(790) 2.76/2.79 s(815) =< s(803)+s(775) 2.76/2.79 s(818) =< s(786)*s(797) 2.76/2.79 s(819) =< s(786)*s(797) 2.76/2.79 s(820) =< s(786)*s(798) 2.76/2.79 s(819) =< s(786)*s(798) 2.76/2.79 s(821) =< s(818) 2.76/2.79 s(821) =< s(820) 2.76/2.79 s(815) =< s(802)+s(819)+s(778) 2.76/2.79 s(815) =< s(802)+s(821)+aux(218) 2.76/2.79 2.76/2.79 with precondition: [2*C>=A+2,A>=C+1] 2.76/2.79 2.76/2.79 * Chain [72]: 1*s(836)+1*s(837)+2*s(838)+2*s(841)+1*s(848)+1*s(856)+1 2.76/2.79 Such that:s(827) =< -A+2*C 2.76/2.79 s(823) =< 2*A-2*C 2.76/2.79 s(824) =< 6*A-9*C 2.76/2.79 s(829) =< A/2-C/2 2.76/2.79 s(830) =< A/4 2.76/2.79 s(831) =< A/4-C/4 2.76/2.79 s(824) =< 9/2*A-7*C 2.76/2.79 s(824) =< 3*C 2.76/2.79 s(833) =< C/6 2.76/2.79 aux(226) =< A-C 2.76/2.79 aux(227) =< 2*A-3*C 2.76/2.79 aux(228) =< 5*A-8*C 2.76/2.79 aux(229) =< C 2.76/2.79 aux(230) =< 2*C 2.76/2.79 s(826) =< aux(226) 2.76/2.79 s(822) =< aux(227) 2.76/2.79 s(825) =< aux(227) 2.76/2.79 s(823) =< aux(228) 2.76/2.79 s(832) =< aux(228) 2.76/2.79 s(822) =< aux(229) 2.76/2.79 s(825) =< aux(229) 2.76/2.79 s(823) =< aux(230) 2.76/2.79 s(824) =< aux(230) 2.76/2.79 s(832) =< aux(230) 2.76/2.79 s(836) =< s(829) 2.76/2.79 s(837) =< s(829) 2.76/2.79 s(838) =< s(831) 2.76/2.79 s(825) =< s(822) 2.76/2.79 s(840) =< s(825) 2.76/2.79 s(840) =< aux(226) 2.76/2.79 s(838) =< s(827) 2.76/2.79 s(837) =< s(827) 2.76/2.79 s(841) =< s(827) 2.76/2.79 s(842) =< s(833)*3+2 2.76/2.79 s(843) =< s(830)*4+3 2.76/2.79 s(844) =< s(833)*2-1 2.76/2.79 s(845) =< s(830)*2-1 2.76/2.79 s(846) =< s(841)*s(842) 2.76/2.79 s(847) =< s(841)*s(843) 2.76/2.79 s(848) =< s(838)*aux(226) 2.76/2.79 s(849) =< s(846)*3 2.76/2.79 s(850) =< s(846) 2.76/2.79 s(849) =< s(847)*3 2.76/2.79 s(850) =< s(847) 2.76/2.79 s(837) =< s(850)+s(840) 2.76/2.79 s(848) =< s(850)+s(840) 2.76/2.79 s(848) =< s(850)+s(825) 2.76/2.79 s(851) =< s(837)*s(844) 2.76/2.79 s(852) =< s(837)*s(844) 2.76/2.79 s(853) =< s(837)*s(845) 2.76/2.79 s(852) =< s(837)*s(845) 2.76/2.79 s(854) =< s(851) 2.76/2.79 s(854) =< s(853) 2.76/2.79 s(848) =< s(849)+s(852)+s(832) 2.76/2.79 s(848) =< s(849)+s(854)+s(824) 2.76/2.79 s(826) =< s(822) 2.76/2.79 s(823) =< s(832) 2.76/2.79 s(836) =< s(827) 2.76/2.79 s(856) =< s(838)*aux(226) 2.76/2.79 s(836) =< s(850)+s(826) 2.76/2.79 s(856) =< s(850)+s(826) 2.76/2.79 s(856) =< s(850)+s(822) 2.76/2.79 s(857) =< s(836)*s(844) 2.76/2.79 s(858) =< s(836)*s(844) 2.76/2.79 s(859) =< s(836)*s(845) 2.76/2.79 s(858) =< s(836)*s(845) 2.76/2.79 s(860) =< s(857) 2.76/2.79 s(860) =< s(859) 2.76/2.79 s(856) =< s(849)+s(858)+s(832) 2.76/2.79 s(856) =< s(849)+s(860)+s(823) 2.76/2.79 2.76/2.79 with precondition: [2*C>=A+3,A>=C+2] 2.76/2.79 2.76/2.79 * Chain [71]: 1*s(876)+1*s(877)+2*s(878)+2*s(881)+2*s(882)+1*s(889)+1*s(896)+1 2.76/2.79 Such that:s(865) =< -A+2*C 2.76/2.79 s(868) =< A/2-C/2 2.76/2.79 s(869) =< A/4 2.76/2.80 s(870) =< A/4-C/4 2.76/2.80 s(872) =< C/6 2.76/2.80 aux(231) =< A-C 2.76/2.80 aux(232) =< 2*A-3*C 2.76/2.80 aux(233) =< 2*A-2*C 2.76/2.80 aux(234) =< 5*A-8*C 2.76/2.80 aux(235) =< C 2.76/2.80 aux(236) =< 2*C 2.76/2.80 s(861) =< aux(231) 2.76/2.80 s(861) =< aux(232) 2.76/2.80 s(871) =< aux(232) 2.76/2.80 s(862) =< aux(233) 2.76/2.80 s(862) =< aux(234) 2.76/2.80 s(863) =< aux(234) 2.76/2.80 s(873) =< aux(234) 2.76/2.80 s(861) =< aux(235) 2.76/2.80 s(871) =< aux(235) 2.76/2.80 s(862) =< aux(236) 2.76/2.80 s(863) =< aux(236) 2.76/2.80 s(873) =< aux(236) 2.76/2.80 s(875) =< aux(233) 2.76/2.80 s(876) =< s(868) 2.76/2.80 s(877) =< s(868) 2.76/2.80 s(878) =< s(870) 2.76/2.80 s(863) =< s(873) 2.76/2.80 s(875) =< s(863) 2.76/2.80 s(880) =< s(871) 2.76/2.80 s(880) =< aux(231) 2.76/2.80 s(878) =< aux(231) 2.76/2.80 s(877) =< aux(231) 2.76/2.80 s(881) =< aux(231) 2.76/2.80 s(878) =< s(865) 2.76/2.80 s(877) =< s(865) 2.76/2.80 s(882) =< s(865) 2.76/2.80 s(883) =< s(872)*3+2 2.76/2.80 s(884) =< s(869)*4+3 2.76/2.80 s(885) =< s(872)*2-1 2.76/2.80 s(886) =< s(869)*2-1 2.76/2.80 s(887) =< s(882)*s(883) 2.76/2.80 s(888) =< s(882)*s(884) 2.76/2.80 s(889) =< s(878)*aux(231) 2.76/2.80 s(890) =< s(887)*3 2.76/2.80 s(891) =< s(887) 2.76/2.80 s(890) =< s(888)*3 2.76/2.80 s(891) =< s(888) 2.76/2.80 s(877) =< s(891)+s(880) 2.76/2.80 s(889) =< s(891)+s(880) 2.76/2.80 s(889) =< s(891)+s(871) 2.76/2.80 s(892) =< s(877)*s(885) 2.76/2.80 s(893) =< s(877)*s(885) 2.76/2.80 s(894) =< s(877)*s(886) 2.76/2.80 s(893) =< s(877)*s(886) 2.76/2.80 s(895) =< s(892) 2.76/2.80 s(895) =< s(894) 2.76/2.80 s(889) =< s(890)+s(893)+s(863) 2.76/2.80 s(889) =< s(890)+s(895)+s(875) 2.76/2.80 s(862) =< s(873) 2.76/2.80 s(861) =< s(871) 2.76/2.80 s(876) =< aux(231) 2.76/2.80 s(876) =< s(865) 2.76/2.80 s(896) =< s(878)*aux(231) 2.76/2.80 s(876) =< s(891)+s(861) 2.76/2.80 s(896) =< s(891)+s(861) 2.76/2.80 s(896) =< s(891)+s(871) 2.76/2.80 s(897) =< s(876)*s(885) 2.76/2.80 s(898) =< s(876)*s(885) 2.76/2.80 s(899) =< s(876)*s(886) 2.76/2.80 s(898) =< s(876)*s(886) 2.76/2.80 s(900) =< s(897) 2.76/2.80 s(900) =< s(899) 2.76/2.80 s(896) =< s(890)+s(898)+s(863) 2.76/2.80 s(896) =< s(890)+s(900)+s(862) 2.76/2.80 2.76/2.80 with precondition: [2*C>=A+4,A>=C+3] 2.76/2.80 2.76/2.80 2.76/2.80 Closed-form bounds of start0(A,B,C,D,E): 2.76/2.80 ------------------------------------- 2.76/2.80 * Chain [104] with precondition: [3*A=5*C,A>=5] 2.76/2.80 - Upper bound: 1 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [103] with precondition: [2*A=3*C,A>=3] 2.76/2.80 - Upper bound: 1 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [102] with precondition: [A=2*C,A>=2] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [101] with precondition: [3*A=2*C,A>=2] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [100] with precondition: [A=C,A>=1] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [99] with precondition: [2*A=C,A>=1] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [98] with precondition: [0>=A] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [97] with precondition: [0>=C,A>=1] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [96] with precondition: [A>=1,C>=A+1] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [95] with precondition: [A>=1,C>=A+2] 2.76/2.80 - Upper bound: A/2+(-2*A+2*C+A/4*(2*A)+A) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [94] with precondition: [A>=2,C>=A+3] 2.76/2.80 - Upper bound: A/2+(-2*A+2*C+A/4*(2*A)+A) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [93] with precondition: [A>=3,C>=A+4] 2.76/2.80 - Upper bound: A/2+(A/4*(2*A)+2*A+(-2*A+2*C)+A) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [92] with precondition: [C>=1,A>=3*C] 2.76/2.80 - Upper bound: A-2*C 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [91] with precondition: [C>=1,A>=2*C+1] 2.76/2.80 - Upper bound: A-2*C 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [90] with precondition: [C>=1,A>=C+1] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [89] with precondition: [C>=2,2*A>=5*C] 2.76/2.80 - Upper bound: A-2*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [88] with precondition: [C>=2,A>=2*C+1] 2.76/2.80 - Upper bound: A-2*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [87] with precondition: [C>=3,3*A>=8*C] 2.76/2.80 - Upper bound: A-2*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [86] with precondition: [C>=3,2*A>=5*C+1] 2.76/2.80 - Upper bound: A-2*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [85] with precondition: [C>=3,A>=2*C+1] 2.76/2.80 - Upper bound: C/4+(C/2+(2*A-4*C+(4*C+1+C*C+C/4*C))) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [84] with precondition: [C>=4,4*A>=11*C] 2.76/2.80 - Upper bound: 4*A-10*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [83] with precondition: [C>=4,3*A>=8*C+1] 2.76/2.80 - Upper bound: 4*A-10*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [82] with precondition: [C>=5,A>=2*C+2] 2.76/2.80 - Upper bound: A/4-C/2+(A/2-C+(2*A-4*C+(4*C+1+C*C)+(A/4-C/2)*(A-2*C))) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [81] with precondition: [C>=7,A>=2*C+3] 2.76/2.80 - Upper bound: A/4-C/2+(A/2-C+(3*A-6*C+(5*C+1+C*C)+(A/4-C/2)*(A-2*C))) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [80] with precondition: [4*A>=7*C,2*C>=A+1] 2.76/2.80 - Upper bound: 3*A-5*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [79] with precondition: [3*A>=5*C+1,2*C>=A+1] 2.76/2.80 - Upper bound: 3*A-5*C+1 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [78] with precondition: [2*A>=3*C+1,2*C>=A+1] 2.76/2.80 - Upper bound: 1 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [77] with precondition: [4*A>=3*C,C>=A+1] 2.76/2.80 - Upper bound: 3*A-2*C 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [76] with precondition: [3*A>=2*C+1,C>=A+1] 2.76/2.80 - Upper bound: 3*A-2*C 2.76/2.80 - Complexity: n 2.76/2.80 * Chain [75] with precondition: [C>=A+1,2*A>=C+1] 2.76/2.80 - Upper bound: 0 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [74] with precondition: [2*C>=A+1,A>=C+1] 2.76/2.80 - Upper bound: 1 2.76/2.80 - Complexity: constant 2.76/2.80 * Chain [73] with precondition: [2*C>=A+2,A>=C+1] 2.76/2.80 - Upper bound: A/2-C/2+(A-C+(-2*A+4*C+1+(A/4-C/4)*(2*A-2*C))) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [72] with precondition: [2*C>=A+3,A>=C+2] 2.76/2.80 - Upper bound: A/2-C/2+(A-C+(-2*A+4*C+1+(A/4-C/4)*(2*A-2*C))) 2.76/2.80 - Complexity: n^2 2.76/2.80 * Chain [71] with precondition: [2*C>=A+4,A>=C+3] 2.76/2.80 - Upper bound: A/2-C/2+(A-C+(2*C+1+(A/4-C/4)*(2*A-2*C))) 2.76/2.80 - Complexity: n^2 2.76/2.80 2.76/2.80 ### Maximum cost of start0(A,B,C,D,E): max([max([max([max([1,nat(3*A-2*C),nat(3*A-5*C)+1]),nat(-A+2*C)*2+1+nat(A-C)*2*nat(A/4-C/4)+nat(A/2-C/2)*2+nat(A/4-C/4)*2+nat(A-C)*2]),nat(A)*2*nat(A/4)+nat(-A+C)*2+nat(A/2)*2+nat(A/4)*2+nat(A)*2]),nat(A-2*C)+max([max([1,nat(3*A-8*C)+1]),nat(C)*4+1+nat(C)*nat(C)+nat(A-2*C)+max([nat(C/4)*nat(C)+nat(C/2)+nat(C/4),nat(A/4-C/2)*nat(A-2*C)+nat(A/2-C)+nat(A/4-C/2)+(nat(A-2*C)+nat(C))])])]) 2.76/2.80 Asymptotic class: n^2 2.76/2.80 * Total analysis performed in 2595 ms. 2.76/2.80 2.80/2.90 EOF