11.24/11.23 WORST_CASE(?,O(n^2)) 11.24/11.23 11.24/11.23 Preprocessing Cost Relations 11.24/11.23 ===================================== 11.24/11.23 11.24/11.23 #### Computed strongly connected components 11.24/11.23 0. recursive : [lbl131/17] 11.24/11.23 1. recursive : [lbl131_loop_cont/18,lbl91/17] 11.24/11.23 2. recursive : [lbl142/17,lbl91_loop_cont/18] 11.24/11.23 3. non_recursive : [exit_location/1] 11.24/11.23 4. non_recursive : [stop/9] 11.24/11.23 5. non_recursive : [lbl142_loop_cont/10] 11.24/11.23 6. non_recursive : [start/9] 11.24/11.23 7. non_recursive : [start0/9] 11.24/11.23 11.24/11.23 #### Obtained direct recursion through partial evaluation 11.24/11.23 0. SCC is partially evaluated into lbl131/17 11.24/11.23 1. SCC is partially evaluated into lbl91/17 11.24/11.23 2. SCC is partially evaluated into lbl142/17 11.24/11.23 3. SCC is completely evaluated into other SCCs 11.24/11.23 4. SCC is completely evaluated into other SCCs 11.24/11.23 5. SCC is partially evaluated into lbl142_loop_cont/10 11.24/11.23 6. SCC is partially evaluated into start/9 11.24/11.23 7. SCC is partially evaluated into start0/9 11.24/11.23 11.24/11.23 Control-Flow Refinement of Cost Relations 11.24/11.23 ===================================== 11.24/11.23 11.24/11.23 ### Specialization of cost equations lbl131/17 11.24/11.23 * CE 13 is refined into CE [29] 11.24/11.23 * CE 11 is refined into CE [30] 11.24/11.23 * CE 10 is refined into CE [31] 11.24/11.23 * CE 12 is refined into CE [32] 11.24/11.23 11.24/11.23 11.24/11.23 ### Cost equations --> "Loop" of lbl131/17 11.24/11.23 * CEs [32] --> Loop 20 11.24/11.23 * CEs [29] --> Loop 21 11.24/11.23 * CEs [30] --> Loop 22 11.24/11.23 * CEs [31] --> Loop 23 11.24/11.23 11.24/11.23 ### Ranking functions of CR lbl131(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R) 11.24/11.23 * RF of phase [20]: [A-E,D-E,-E+G] 11.24/11.23 11.24/11.23 #### Partial ranking functions of CR lbl131(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R) 11.24/11.23 * Partial RF of phase [20]: 11.24/11.23 - RF of loop [20:1]: 11.24/11.23 A-E 11.24/11.23 D-E 11.24/11.23 -E+G 11.24/11.23 11.24/11.23 11.24/11.23 ### Specialization of cost equations lbl91/17 11.24/11.23 * CE 14 is refined into CE [33,34] 11.24/11.23 * CE 17 is refined into CE [35] 11.24/11.23 * CE 16 is refined into CE [36,37] 11.24/11.23 * CE 15 is refined into CE [38,39] 11.24/11.23 11.24/11.23 11.24/11.23 ### Cost equations --> "Loop" of lbl91/17 11.24/11.23 * CEs [39] --> Loop 24 11.24/11.23 * CEs [38] --> Loop 25 11.24/11.23 * CEs [34] --> Loop 26 11.24/11.23 * CEs [33] --> Loop 27 11.24/11.23 * CEs [35] --> Loop 28 11.24/11.23 * CEs [37] --> Loop 29 11.24/11.23 * CEs [36] --> Loop 30 11.24/11.23 11.24/11.23 ### Ranking functions of CR lbl91(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R) 11.24/11.23 * RF of phase [24,25]: [A-E-1,D-E-1,-E+G-1] 11.24/11.23 11.24/11.23 #### Partial ranking functions of CR lbl91(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R) 11.24/11.23 * Partial RF of phase [24,25]: 11.24/11.23 - RF of loop [24:1]: 11.24/11.23 A/2-E/2-1 11.24/11.23 D/2-E/2-1 11.24/11.23 -E/2+G/2-1 11.24/11.23 - RF of loop [25:1]: 11.24/11.23 A-E-1 11.24/11.23 D-E-1 11.24/11.23 -E+G-1 11.24/11.23 11.24/11.23 11.24/11.23 ### Specialization of cost equations lbl142/17 11.24/11.23 * CE 21 is refined into CE [40,41] 11.24/11.23 * CE 22 is refined into CE [42,43,44,45,46,47,48,49] 11.24/11.23 * CE 23 is refined into CE [50,51,52,53] 11.24/11.23 * CE 26 is refined into CE [54] 11.24/11.23 * CE 24 is refined into CE [55] 11.24/11.23 * CE 18 is refined into CE [56,57,58,59,60,61,62,63] 11.24/11.23 * CE 19 is refined into CE [64,65] 11.24/11.23 * CE 20 is refined into CE [66,67,68,69] 11.24/11.23 * CE 25 is refined into CE [70] 11.24/11.23 11.24/11.23 11.24/11.23 ### Cost equations --> "Loop" of lbl142/17 11.24/11.23 * CEs [60] --> Loop 31 11.24/11.23 * CEs [63] --> Loop 32 11.24/11.23 * CEs [59,61,62] --> Loop 33 11.24/11.23 * CEs [57,58,69] --> Loop 34 11.24/11.23 * CEs [67,68] --> Loop 35 11.24/11.23 * CEs [65] --> Loop 36 11.24/11.23 * CEs [56] --> Loop 37 11.24/11.23 * CEs [66] --> Loop 38 11.24/11.23 * CEs [64] --> Loop 39 11.24/11.23 * CEs [70] --> Loop 40 11.24/11.23 * CEs [49] --> Loop 41 11.24/11.23 * CEs [45,48] --> Loop 42 11.24/11.23 * CEs [44,46,47,53] --> Loop 43 11.24/11.23 * CEs [41,42,43,52] --> Loop 44 11.24/11.23 * CEs [40,50,51] --> Loop 45 11.24/11.23 * CEs [54] --> Loop 46 11.24/11.23 * CEs [55] --> Loop 47 11.24/11.23 11.24/11.23 ### Ranking functions of CR lbl142(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R) 11.24/11.23 * RF of phase [31,32,33,34,35,36]: [E-2,G-1] 11.24/11.23 11.24/11.23 #### Partial ranking functions of CR lbl142(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R) 11.24/11.23 * Partial RF of phase [31,32,33,34,35,36]: 11.24/11.23 - RF of loop [31:1,34:1]: 11.24/11.23 E-3 11.24/11.23 G-2 11.24/11.23 - RF of loop [32:1]: 11.24/11.23 E-5 11.24/11.23 G-4 11.24/11.23 - RF of loop [33:1]: 11.24/11.23 E-4 11.24/11.23 G-3 11.24/11.23 - RF of loop [35:1,36:1]: 11.24/11.23 E-2 11.24/11.23 G-1 11.24/11.23 11.24/11.23 11.24/11.23 ### Specialization of cost equations lbl142_loop_cont/10 11.24/11.23 * CE 27 is refined into CE [71] 11.24/11.23 * CE 28 is refined into CE [72] 11.24/11.23 11.24/11.23 11.24/11.23 ### Cost equations --> "Loop" of lbl142_loop_cont/10 11.24/11.23 * CEs [71] --> Loop 48 11.24/11.23 * CEs [72] --> Loop 49 11.24/11.23 11.24/11.23 ### Ranking functions of CR lbl142_loop_cont(A,B,C,D,E,F,G,H,I,J) 11.24/11.23 11.24/11.23 #### Partial ranking functions of CR lbl142_loop_cont(A,B,C,D,E,F,G,H,I,J) 11.24/11.23 11.24/11.23 11.24/11.23 ### Specialization of cost equations start/9 11.24/11.23 * CE 2 is refined into CE [73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146] 11.24/11.23 * CE 3 is refined into CE [147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163] 11.24/11.23 * CE 4 is refined into CE [164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205] 11.24/11.23 * CE 5 is refined into CE [206,207] 11.24/11.23 * CE 6 is refined into CE [208,209,210,211,212,213,214,215] 11.24/11.23 * CE 7 is refined into CE [216,217,218,219] 11.24/11.23 * CE 8 is refined into CE [220] 11.24/11.23 * CE 9 is refined into CE [221,222] 11.24/11.23 11.24/11.23 11.24/11.23 ### Cost equations --> "Loop" of start/9 11.24/11.23 * CEs [86,97,106,117,126,135,144,161,178,192,203] --> Loop 50 11.24/11.23 * CEs [85,96,105,116,125,134,143,160,177,191,202] --> Loop 51 11.24/11.23 * CEs [84,95,104,115,124,133,138,139,140,141,142,145,146,159,176,190,201,215] --> Loop 52 11.24/11.23 * CEs [83,88,94,99,100,101,102,103,107,108,114,119,120,121,122,123,127,128,129,130,131,132,136,137,158,163,175,180,189,194,200,205,211,214] --> Loop 53 11.24/11.23 * CEs [80,81,82,87,91,92,93,98,111,112,113,118,157,162,174,179,188,193,197,198,199,204,210,212,213,219] --> Loop 54 11.24/11.23 * CEs [155,156,172,173,186,187,207,208,209,218] --> Loop 55 11.24/11.23 * CEs [206,216,217] --> Loop 56 11.24/11.23 * CEs [220] --> Loop 57 11.24/11.23 * CEs [78,79,89,90,109,110,153,154,170,171,184,185,195,196] --> Loop 58 11.24/11.23 * CEs [73,74,75,76,77,150,151,152,167,168,169,181,182,183] --> Loop 59 11.24/11.23 * CEs [147,148,149,164,165,166] --> Loop 60 11.24/11.23 * CEs [221,222] --> Loop 61 11.24/11.23 11.24/11.23 ### Ranking functions of CR start(A,B,C,D,E,F,G,H,J) 11.24/11.23 11.24/11.23 #### Partial ranking functions of CR start(A,B,C,D,E,F,G,H,J) 11.24/11.23 11.24/11.23 11.24/11.23 ### Specialization of cost equations start0/9 11.24/11.23 * CE 1 is refined into CE [223,224,225,226,227,228,229,230,231,232,233,234] 11.24/11.23 11.24/11.23 11.24/11.23 ### Cost equations --> "Loop" of start0/9 11.24/11.23 * CEs [234] --> Loop 62 11.24/11.23 * CEs [233] --> Loop 63 11.24/11.23 * CEs [232] --> Loop 64 11.24/11.23 * CEs [231] --> Loop 65 11.24/11.23 * CEs [230] --> Loop 66 11.24/11.23 * CEs [229] --> Loop 67 11.24/11.23 * CEs [228] --> Loop 68 11.24/11.23 * CEs [227] --> Loop 69 11.24/11.23 * CEs [226] --> Loop 70 11.24/11.23 * CEs [225] --> Loop 71 11.24/11.23 * CEs [224] --> Loop 72 11.24/11.23 * CEs [223] --> Loop 73 11.24/11.23 11.24/11.23 ### Ranking functions of CR start0(A,B,C,D,E,F,G,H,J) 11.24/11.23 11.24/11.23 #### Partial ranking functions of CR start0(A,B,C,D,E,F,G,H,J) 11.24/11.23 11.24/11.23 11.24/11.23 Computing Bounds 11.24/11.23 ===================================== 11.24/11.23 11.24/11.23 #### Cost of chains of lbl131(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R): 11.24/11.23 * Chain [[20],23]: 1*it(20)+0 11.24/11.23 Such that:it(20) =< -E+O 11.24/11.23 11.24/11.23 with precondition: [J=2,A=D,A=K,B=L,C=M,A=N,G=O,F=P,G=Q+1,H=R,E>=1,G>=E+1,A>=G] 11.24/11.23 11.24/11.23 * Chain [[20],22]: 1*it(20)+0 11.24/11.23 Such that:it(20) =< -E+O 11.24/11.23 11.24/11.23 with precondition: [J=3,A=D,A=K,C=M,A=N,F=P,G=Q,H=R,E>=1,O>=E+1,A>=G,G>=O+1] 11.24/11.23 11.24/11.23 * Chain [[20],21]: 1*it(20)+0 11.24/11.23 Such that:it(20) =< -E+G 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,E>=1,G>=E+1,A>=G] 11.24/11.23 11.24/11.23 * Chain [23]: 0 11.24/11.23 with precondition: [J=2,D=A,L=B,M=C,G=E,P=F,R=H,D=K,D=N,G=O,G=Q+1,G>=1,D>=G] 11.24/11.23 11.24/11.23 * Chain [22]: 0 11.24/11.23 with precondition: [J=3,D=A,M=C,P=F,R=H,D=K,D=N,E=O,G=Q,E>=1,G>=E+1,D>=G] 11.24/11.23 11.24/11.23 * Chain [21]: 0 11.24/11.23 with precondition: [J=4,D=A,E>=1,G>=E,D>=G] 11.24/11.23 11.24/11.23 11.24/11.23 #### Cost of chains of lbl91(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R): 11.24/11.23 * Chain [[24,25],30]: 1*it(24)+2*it(25)+0 11.24/11.23 Such that:aux(5) =< -E+Q+1 11.24/11.23 it(24) =< -E/2+Q/2 11.24/11.23 aux(7) =< -E+K 11.24/11.23 aux(8) =< -E+Q 11.24/11.23 it(24) =< aux(7) 11.24/11.23 it(25) =< aux(7) 11.24/11.23 it(24) =< aux(8) 11.24/11.23 it(25) =< aux(8) 11.24/11.23 it(24) =< aux(5) 11.24/11.23 it(25) =< aux(5) 11.24/11.23 11.24/11.23 with precondition: [J=2,A=D,A=K,C=M,A=N,G=O,F=P,G=Q+1,H=R,E>=0,G>=E+2,A>=G] 11.24/11.23 11.24/11.23 * Chain [[24,25],29]: 1*it(24)+2*it(25)+1*s(4)+0 11.24/11.23 Such that:it(24) =< -E/2+Q/2 11.24/11.23 aux(9) =< -E+K 11.24/11.23 aux(10) =< -E+Q 11.24/11.23 aux(11) =< -E+Q+1 11.24/11.23 aux(2) =< aux(10) 11.24/11.23 aux(2) =< aux(11) 11.24/11.23 it(24) =< aux(11) 11.24/11.23 s(4) =< aux(11) 11.24/11.23 it(24) =< aux(9) 11.24/11.23 it(25) =< aux(9) 11.24/11.23 it(24) =< aux(2) 11.24/11.23 it(25) =< aux(2) 11.24/11.23 it(25) =< aux(11) 11.24/11.23 11.24/11.23 with precondition: [J=2,A=D,A=K,C=M,A=N,G=O,F=P,G=Q+1,H=R,E>=0,G>=E+3,A>=G] 11.24/11.23 11.24/11.23 * Chain [[24,25],28]: 1*it(24)+2*it(25)+0 11.24/11.23 Such that:it(24) =< -E/2+G/2 11.24/11.23 aux(12) =< A-E 11.24/11.23 aux(13) =< -E+G 11.24/11.23 it(24) =< aux(12) 11.24/11.23 it(25) =< aux(12) 11.24/11.23 it(24) =< aux(13) 11.24/11.23 it(25) =< aux(13) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,E>=0,G>=E+2,A>=G] 11.24/11.23 11.24/11.23 * Chain [[24,25],27]: 1*it(24)+2*it(25)+0 11.24/11.23 Such that:it(24) =< -E/2+G/2 11.24/11.23 aux(14) =< A-E 11.24/11.23 aux(15) =< -E+G 11.24/11.23 it(24) =< aux(14) 11.24/11.23 it(25) =< aux(14) 11.24/11.23 it(24) =< aux(15) 11.24/11.23 it(25) =< aux(15) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,E>=0,G>=E+2,A>=G] 11.24/11.23 11.24/11.23 * Chain [[24,25],26]: 1*it(24)+2*it(25)+1*s(5)+0 11.24/11.23 Such that:it(24) =< -E/2+G/2 11.24/11.23 aux(16) =< A-E 11.24/11.23 aux(17) =< -E+G 11.24/11.23 it(24) =< aux(17) 11.24/11.23 s(5) =< aux(17) 11.24/11.23 it(24) =< aux(16) 11.24/11.23 it(25) =< aux(16) 11.24/11.23 it(25) =< aux(17) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,E>=0,G>=E+3,A>=G] 11.24/11.23 11.24/11.23 * Chain [30]: 0 11.24/11.23 with precondition: [J=2,L=B,M=C,A=D,G=E+1,P=F,R=H,A=K,A=N,G=O,G=Q+1,G>=1,A>=G] 11.24/11.23 11.24/11.23 * Chain [29]: 1*s(4)+0 11.24/11.23 Such that:s(4) =< -E+G 11.24/11.23 11.24/11.23 with precondition: [J=2,L=B,M=C,A=D,P=F,R=H,A=K,A=N,G=O,G=Q+1,E>=0,G>=E+2,A>=G] 11.24/11.23 11.24/11.23 * Chain [28]: 0 11.24/11.23 with precondition: [J=4] 11.24/11.23 11.24/11.23 * Chain [27]: 0 11.24/11.23 with precondition: [J=4,A=D,E>=0,G>=E+1,A>=G] 11.24/11.23 11.24/11.23 * Chain [26]: 1*s(5)+0 11.24/11.23 Such that:s(5) =< -E+G 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,E>=0,G>=E+2,A>=G] 11.24/11.23 11.24/11.23 11.24/11.23 #### Cost of chains of lbl142(A,B,C,D,E,F,G,H,J,K,L,M,N,O,P,Q,R): 11.24/11.23 * Chain [[31,32,33,34,35,36],46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+0 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(55) =< E 11.24/11.23 it(31) =< aux(55) 11.24/11.23 aux(36) =< aux(55) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(55)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(55) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],45]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+0 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(56) =< E 11.24/11.23 it(31) =< aux(56) 11.24/11.23 aux(36) =< aux(56) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(56)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(56) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],44]: 12*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+6*s(124)+1 11.24/11.23 Such that:aux(58) =< D 11.24/11.23 aux(59) =< E 11.24/11.23 it(31) =< aux(59) 11.24/11.23 s(124) =< aux(59) 11.24/11.23 s(124) =< aux(58) 11.24/11.23 aux(36) =< aux(59) 11.24/11.23 aux(38) =< aux(58) 11.24/11.23 aux(34) =< aux(59)-1 11.24/11.23 s(94) =< it(31)*aux(58) 11.24/11.23 s(89) =< it(31)*aux(59) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],43]: 14*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+9*s(130)+1 11.24/11.23 Such that:aux(63) =< D 11.24/11.23 aux(64) =< E 11.24/11.23 it(31) =< aux(64) 11.24/11.23 s(130) =< aux(64) 11.24/11.23 s(130) =< aux(63) 11.24/11.23 aux(36) =< aux(64) 11.24/11.23 aux(38) =< aux(63) 11.24/11.23 aux(34) =< aux(64)-1 11.24/11.23 s(94) =< it(31)*aux(63) 11.24/11.23 s(89) =< it(31)*aux(64) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=4,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],42]: 12*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+10*s(139)+1 11.24/11.23 Such that:aux(70) =< D 11.24/11.23 aux(71) =< E 11.24/11.23 s(139) =< aux(71) 11.24/11.23 it(31) =< aux(71) 11.24/11.23 s(139) =< aux(70) 11.24/11.23 aux(36) =< aux(71) 11.24/11.23 aux(38) =< aux(70) 11.24/11.23 aux(34) =< aux(71)-1 11.24/11.23 s(94) =< it(31)*aux(70) 11.24/11.23 s(89) =< it(31)*aux(71) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=5,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],41]: 12*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+3*s(152)+1 11.24/11.23 Such that:aux(73) =< D 11.24/11.23 aux(74) =< E 11.24/11.23 s(152) =< aux(74) 11.24/11.23 it(31) =< aux(74) 11.24/11.23 s(152) =< aux(73) 11.24/11.23 aux(36) =< aux(74) 11.24/11.23 aux(38) =< aux(73) 11.24/11.23 aux(34) =< aux(74)-1 11.24/11.23 s(94) =< it(31)*aux(73) 11.24/11.23 s(89) =< it(31)*aux(74) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=6,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],39,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+1 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(75) =< E 11.24/11.23 it(31) =< aux(75) 11.24/11.23 aux(36) =< aux(75) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(75)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(75) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],39,40,47]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+2 11.24/11.23 Such that:aux(51) =< G+1 11.24/11.23 aux(33) =< K 11.24/11.23 aux(76) =< G 11.24/11.23 aux(32) =< aux(51) 11.24/11.23 it(31) =< aux(51) 11.24/11.23 it(31) =< aux(76) 11.24/11.23 aux(32) =< aux(76) 11.24/11.23 aux(36) =< aux(32) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(32)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(32) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=5,O=0,Q+1=0,A=D,G+1=E,A=K,C=M,A=N,F=P,H=R,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],39,40,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+2 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(77) =< E 11.24/11.23 it(31) =< aux(77) 11.24/11.23 aux(36) =< aux(77) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(77)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(77) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],38,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+1 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(78) =< E 11.24/11.23 it(31) =< aux(78) 11.24/11.23 aux(36) =< aux(78) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(78)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(78) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],38,40,47]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+2 11.24/11.23 Such that:aux(51) =< G+1 11.24/11.23 aux(33) =< K 11.24/11.23 aux(79) =< G 11.24/11.23 aux(32) =< aux(51) 11.24/11.23 it(31) =< aux(51) 11.24/11.23 it(31) =< aux(79) 11.24/11.23 aux(32) =< aux(79) 11.24/11.23 aux(36) =< aux(32) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(32)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(32) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=5,O=0,Q+1=0,A=D,G+1=E,A=K,C=M,A=N,F=P,H=R,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],38,40,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+2 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(80) =< E 11.24/11.23 it(31) =< aux(80) 11.24/11.23 aux(36) =< aux(80) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(80)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(80) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=2,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+2 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(81) =< E 11.24/11.23 it(31) =< aux(81) 11.24/11.23 aux(36) =< aux(81) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(81)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(81) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,45]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+2 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(82) =< E 11.24/11.23 it(31) =< aux(82) 11.24/11.23 aux(36) =< aux(82) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(82)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(82) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,39,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+3 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(83) =< E 11.24/11.23 it(31) =< aux(83) 11.24/11.23 aux(36) =< aux(83) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(83)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(83) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,39,40,47]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+4 11.24/11.23 Such that:aux(51) =< G+1 11.24/11.23 aux(33) =< K 11.24/11.23 aux(84) =< G 11.24/11.23 aux(32) =< aux(51) 11.24/11.23 it(31) =< aux(51) 11.24/11.23 it(31) =< aux(84) 11.24/11.23 aux(32) =< aux(84) 11.24/11.23 aux(36) =< aux(32) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(32)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(32) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=5,O=0,Q+1=0,A=D,G+1=E,A=K,C=M,A=N,F=P,H=R,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,39,40,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+4 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(85) =< E 11.24/11.23 it(31) =< aux(85) 11.24/11.23 aux(36) =< aux(85) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(85)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(85) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,38,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+3 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(86) =< E 11.24/11.23 it(31) =< aux(86) 11.24/11.23 aux(36) =< aux(86) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(86)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(86) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,38,40,47]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+4 11.24/11.23 Such that:aux(51) =< G+1 11.24/11.23 aux(33) =< K 11.24/11.23 aux(87) =< G 11.24/11.23 aux(32) =< aux(51) 11.24/11.23 it(31) =< aux(51) 11.24/11.23 it(31) =< aux(87) 11.24/11.23 aux(32) =< aux(87) 11.24/11.23 aux(36) =< aux(32) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(32)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(32) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=5,O=0,Q+1=0,A=D,G+1=E,A=K,C=M,A=N,F=P,H=R,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [[31,32,33,34,35,36],37,38,40,46]: 10*it(31)+1*s(89)+3*s(90)+1*s(91)+2*s(92)+2*s(95)+4*s(96)+8*s(97)+1*s(100)+2*s(101)+3*s(106)+2*s(107)+4 11.24/11.23 Such that:aux(33) =< D 11.24/11.23 aux(88) =< E 11.24/11.23 it(31) =< aux(88) 11.24/11.23 aux(36) =< aux(88) 11.24/11.23 aux(38) =< aux(33) 11.24/11.23 aux(34) =< aux(88)-1 11.24/11.23 s(94) =< it(31)*aux(33) 11.24/11.23 s(89) =< it(31)*aux(88) 11.24/11.23 s(106) =< it(31)*aux(36) 11.24/11.23 s(104) =< it(31)*aux(38) 11.24/11.23 aux(37) =< it(31)*aux(36) 11.24/11.23 aux(35) =< it(31)*aux(34) 11.24/11.23 s(95) =< aux(37)*(1/2) 11.24/11.23 s(112) =< aux(37)*(1/2) 11.24/11.23 s(100) =< aux(35)*(1/2) 11.24/11.23 s(91) =< aux(35)*(1/2) 11.24/11.23 s(95) =< s(104) 11.24/11.23 s(97) =< s(104) 11.24/11.23 s(95) =< aux(37) 11.24/11.23 s(97) =< aux(37) 11.24/11.23 s(107) =< s(112) 11.24/11.23 s(107) =< s(104) 11.24/11.23 s(107) =< aux(37) 11.24/11.23 s(96) =< aux(37) 11.24/11.23 s(90) =< aux(35) 11.24/11.23 s(100) =< aux(35) 11.24/11.23 s(100) =< s(104) 11.24/11.23 s(101) =< s(104) 11.24/11.23 s(101) =< aux(35) 11.24/11.23 s(91) =< aux(35) 11.24/11.23 s(91) =< s(94) 11.24/11.23 s(92) =< s(94) 11.24/11.23 s(92) =< aux(35) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [47]: 0 11.24/11.23 with precondition: [E=0,G+1=0,J=5,O=0,Q+1=0,L=B,M=C,A=D,P=F,R=H,A=K,A=N,A>=0] 11.24/11.23 11.24/11.23 * Chain [46]: 0 11.24/11.23 with precondition: [J=4] 11.24/11.23 11.24/11.23 * Chain [45]: 0 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=1,A>=G+1] 11.24/11.23 11.24/11.23 * Chain [44]: 2*s(119)+2*s(124)+4*s(125)+1 11.24/11.23 Such that:s(120) =< D 11.24/11.23 s(122) =< G/2 11.24/11.23 aux(57) =< G 11.24/11.23 s(119) =< aux(57) 11.24/11.23 s(124) =< s(122) 11.24/11.23 s(124) =< s(120) 11.24/11.23 s(125) =< s(120) 11.24/11.23 s(124) =< aux(57) 11.24/11.23 s(125) =< aux(57) 11.24/11.23 11.24/11.23 with precondition: [J=4,A=D,G+1=E,G>=2,A>=G+1] 11.24/11.23 11.24/11.24 * Chain [43]: 4*s(129)+3*s(130)+6*s(131)+1 11.24/11.24 Such that:aux(60) =< D 11.24/11.24 aux(61) =< G 11.24/11.24 aux(62) =< G/2 11.24/11.24 s(129) =< aux(61) 11.24/11.24 s(130) =< aux(62) 11.24/11.24 s(130) =< aux(60) 11.24/11.24 s(131) =< aux(60) 11.24/11.24 s(130) =< aux(61) 11.24/11.24 s(131) =< aux(61) 11.24/11.24 11.24/11.24 with precondition: [J=4,A=D,G+1=E,G>=3,A>=G+1] 11.24/11.24 11.24/11.24 * Chain [42]: 1*s(139)+2*s(142)+7*s(143)+2*s(149)+1 11.24/11.24 Such that:aux(67) =< D 11.24/11.24 aux(68) =< G 11.24/11.24 aux(69) =< G/2 11.24/11.24 s(139) =< aux(69) 11.24/11.24 s(147) =< aux(69) 11.24/11.24 s(139) =< aux(68) 11.24/11.24 s(142) =< aux(68) 11.24/11.24 s(139) =< aux(67) 11.24/11.24 s(143) =< aux(67) 11.24/11.24 s(143) =< aux(68) 11.24/11.24 s(147) =< aux(68) 11.24/11.24 s(149) =< s(147) 11.24/11.24 s(149) =< aux(67) 11.24/11.24 s(149) =< aux(68) 11.24/11.24 11.24/11.24 with precondition: [J=4,A=D,G+1=E,G>=4,A>=G+1] 11.24/11.24 11.24/11.24 * Chain [41]: 2*s(151)+1*s(152)+2*s(156)+1 11.24/11.24 Such that:s(153) =< D 11.24/11.24 s(152) =< G/2 11.24/11.24 aux(72) =< G 11.24/11.24 s(151) =< aux(72) 11.24/11.24 s(152) =< aux(72) 11.24/11.24 s(152) =< s(153) 11.24/11.24 s(156) =< s(153) 11.24/11.24 s(156) =< aux(72) 11.24/11.24 11.24/11.24 with precondition: [J=4,A=D,G+1=E,G>=5,A>=G+1] 11.24/11.24 11.24/11.24 * Chain [40,47]: 1 11.24/11.24 with precondition: [E=1,G=0,J=5,O=0,Q+1=0,A=D,A=K,B=L,C=M,A=N,F=P,H=R,A>=1] 11.24/11.24 11.24/11.24 * Chain [40,46]: 1 11.24/11.24 with precondition: [E=1,G=0,J=4,A=D,A>=1] 11.24/11.24 11.24/11.24 * Chain [39,46]: 1 11.24/11.24 with precondition: [E=2,G=1,J=4,A=D,A>=2] 11.24/11.24 11.24/11.24 * Chain [39,40,47]: 2 11.24/11.24 with precondition: [E=2,G=1,J=5,O=0,Q+1=0,A=D,A=K,B=L,C=M,A=N,F=P,H=R,A>=2] 11.24/11.24 11.24/11.24 * Chain [39,40,46]: 2 11.24/11.24 with precondition: [E=2,G=1,J=4,A=D,A>=2] 11.24/11.24 11.24/11.24 * Chain [38,46]: 1 11.24/11.24 with precondition: [E=2,G=1,J=4,A=D,A>=2] 11.24/11.24 11.24/11.24 * Chain [38,40,47]: 2 11.24/11.24 with precondition: [E=2,G=1,J=5,O=0,Q+1=0,A=D,A=K,C=M,A=N,F=P,H=R,A>=2] 11.24/11.24 11.24/11.24 * Chain [38,40,46]: 2 11.24/11.24 with precondition: [E=2,G=1,J=4,A=D,A>=2] 11.24/11.24 11.24/11.24 * Chain [37,46]: 2 11.24/11.24 with precondition: [E=3,G=2,J=4,A=D,A>=3] 11.24/11.24 11.24/11.24 * Chain [37,45]: 2 11.24/11.24 with precondition: [E=3,G=2,J=4,A=D,A>=3] 11.24/11.24 11.24/11.24 * Chain [37,39,46]: 3 11.24/11.24 with precondition: [E=3,G=2,J=4,A=D,A>=3] 11.24/11.24 11.24/11.24 * Chain [37,39,40,47]: 4 11.24/11.24 with precondition: [E=3,G=2,J=5,O=0,Q+1=0,A=D,A=K,C=M,A=N,F=P,H=R,A>=3] 11.24/11.24 11.24/11.24 * Chain [37,39,40,46]: 4 11.24/11.24 with precondition: [E=3,G=2,J=4,A=D,A>=3] 11.24/11.24 11.24/11.24 * Chain [37,38,46]: 3 11.24/11.24 with precondition: [E=3,G=2,J=4,A=D,A>=3] 11.24/11.24 11.24/11.24 * Chain [37,38,40,47]: 4 11.24/11.24 with precondition: [E=3,G=2,J=5,O=0,Q+1=0,A=D,A=K,C=M,A=N,F=P,H=R,A>=3] 11.24/11.24 11.24/11.24 * Chain [37,38,40,46]: 4 11.24/11.24 with precondition: [E=3,G=2,J=4,A=D,A>=3] 11.24/11.24 11.24/11.24 11.24/11.24 #### Cost of chains of lbl142_loop_cont(A,B,C,D,E,F,G,H,I,J): 11.24/11.24 * Chain [49]: 0 11.24/11.24 with precondition: [A=4] 11.24/11.24 11.24/11.24 * Chain [48]: 0 11.24/11.24 with precondition: [A=5] 11.24/11.24 11.24/11.24 11.24/11.24 #### Cost of chains of start(A,B,C,D,E,F,G,H,J): 11.24/11.24 * Chain [61]: 0 11.24/11.24 with precondition: [A=0,D=0,C=B,F=E,H=G] 11.24/11.24 11.24/11.24 * Chain [60]: 2 11.24/11.24 with precondition: [A=1,D=1,C=B,F=E,H=G] 11.24/11.24 11.24/11.24 * Chain [59]: 53/2 11.24/11.24 with precondition: [A=2,D=2,C=B,F=E,H=G] 11.24/11.24 11.24/11.24 * Chain [58]: 65 11.24/11.24 with precondition: [A=3,D=3,C=B,F=E,H=G] 11.24/11.24 11.24/11.24 * Chain [57]: 0 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,0>=D+1] 11.24/11.24 11.24/11.24 * Chain [56]: 0 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,D>=1] 11.24/11.24 11.24/11.24 * Chain [55]: 5*s(674)+4*s(679)+9*s(682)+1 11.24/11.24 Such that:aux(120) =< A 11.24/11.24 aux(121) =< D 11.24/11.24 aux(122) =< D/2 11.24/11.24 s(674) =< aux(120) 11.24/11.24 s(679) =< aux(122) 11.24/11.24 s(679) =< aux(121) 11.24/11.24 s(682) =< aux(121) 11.24/11.24 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,D>=2] 11.24/11.24 11.24/11.24 * Chain [54]: 73*s(695)+575*s(697)+25*s(703)+50*s(710)+150*s(711)+100*s(715)+50*s(717)+50*s(718)+600*s(719)+100*s(720)+150*s(722)+100*s(723)+100*s(724)+2*s(829)+6*s(836)+18*s(837)+12*s(841)+6*s(843)+6*s(844)+72*s(845)+12*s(846)+18*s(848)+12*s(849)+12*s(850)+4 11.24/11.24 Such that:s(825) =< A/2 11.24/11.24 aux(146) =< A 11.24/11.24 aux(147) =< D 11.24/11.24 aux(148) =< D/2 11.24/11.24 s(695) =< aux(146) 11.24/11.24 s(703) =< aux(148) 11.24/11.24 s(829) =< s(825) 11.24/11.24 s(829) =< aux(146) 11.24/11.24 s(832) =< aux(146) 11.24/11.24 s(834) =< aux(146)-1 11.24/11.24 s(835) =< s(695)*aux(146) 11.24/11.24 s(836) =< s(695)*aux(146) 11.24/11.24 s(837) =< s(695)*s(832) 11.24/11.24 s(838) =< s(695)*s(832) 11.24/11.24 s(840) =< s(695)*s(834) 11.24/11.24 s(841) =< s(838)*(1/2) 11.24/11.24 s(842) =< s(838)*(1/2) 11.24/11.24 s(843) =< s(840)*(1/2) 11.24/11.24 s(844) =< s(840)*(1/2) 11.24/11.24 s(841) =< s(838) 11.24/11.24 s(845) =< s(838) 11.24/11.24 s(846) =< s(842) 11.24/11.24 s(846) =< s(838) 11.24/11.24 s(848) =< s(840) 11.24/11.24 s(843) =< s(840) 11.24/11.24 s(843) =< s(838) 11.24/11.24 s(849) =< s(838) 11.24/11.24 s(849) =< s(840) 11.24/11.24 s(844) =< s(840) 11.24/11.24 s(844) =< s(835) 11.24/11.24 s(850) =< s(835) 11.24/11.24 s(850) =< s(840) 11.24/11.24 s(697) =< aux(147) 11.24/11.24 s(706) =< aux(147) 11.24/11.24 s(708) =< aux(147)-1 11.24/11.24 s(709) =< s(697)*aux(147) 11.24/11.24 s(710) =< s(697)*aux(147) 11.24/11.24 s(711) =< s(697)*s(706) 11.24/11.24 s(712) =< s(697)*s(706) 11.24/11.24 s(714) =< s(697)*s(708) 11.24/11.24 s(715) =< s(712)*(1/2) 11.24/11.24 s(716) =< s(712)*(1/2) 11.24/11.24 s(717) =< s(714)*(1/2) 11.24/11.24 s(718) =< s(714)*(1/2) 11.24/11.24 s(715) =< s(712) 11.24/11.24 s(719) =< s(712) 11.24/11.24 s(720) =< s(716) 11.24/11.24 s(720) =< s(712) 11.24/11.24 s(722) =< s(714) 11.24/11.24 s(717) =< s(714) 11.24/11.24 s(717) =< s(712) 11.24/11.24 s(723) =< s(712) 11.24/11.24 s(723) =< s(714) 11.24/11.24 s(718) =< s(714) 11.24/11.24 s(718) =< s(709) 11.24/11.24 s(724) =< s(709) 11.24/11.24 s(724) =< s(714) 11.24/11.24 s(703) =< aux(147) 11.24/11.24 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,D>=3] 11.24/11.24 11.24/11.24 * Chain [53]: 1417*s(1135)+55*s(1141)+114*s(1148)+342*s(1149)+228*s(1153)+114*s(1155)+114*s(1156)+1368*s(1157)+228*s(1158)+342*s(1160)+228*s(1161)+228*s(1162)+2*s(1950)+6 11.24/11.24 Such that:aux(190) =< D 11.24/11.24 aux(191) =< D/2 11.24/11.24 s(1141) =< aux(191) 11.24/11.24 s(1948) =< aux(191) 11.24/11.24 s(1135) =< aux(190) 11.24/11.24 s(1144) =< aux(190) 11.24/11.24 s(1146) =< aux(190)-1 11.24/11.24 s(1147) =< s(1135)*aux(190) 11.24/11.24 s(1148) =< s(1135)*aux(190) 11.24/11.24 s(1149) =< s(1135)*s(1144) 11.24/11.24 s(1150) =< s(1135)*s(1144) 11.24/11.24 s(1152) =< s(1135)*s(1146) 11.24/11.24 s(1153) =< s(1150)*(1/2) 11.24/11.24 s(1154) =< s(1150)*(1/2) 11.24/11.24 s(1155) =< s(1152)*(1/2) 11.24/11.24 s(1156) =< s(1152)*(1/2) 11.24/11.24 s(1153) =< s(1150) 11.24/11.24 s(1157) =< s(1150) 11.24/11.24 s(1158) =< s(1154) 11.24/11.24 s(1158) =< s(1150) 11.24/11.24 s(1160) =< s(1152) 11.24/11.24 s(1155) =< s(1152) 11.24/11.24 s(1155) =< s(1150) 11.24/11.24 s(1161) =< s(1150) 11.24/11.24 s(1161) =< s(1152) 11.24/11.24 s(1156) =< s(1152) 11.24/11.24 s(1156) =< s(1147) 11.24/11.24 s(1162) =< s(1147) 11.24/11.24 s(1162) =< s(1152) 11.24/11.24 s(1141) =< aux(190) 11.24/11.24 s(1948) =< aux(190) 11.24/11.24 s(1950) =< s(1948) 11.24/11.24 s(1950) =< aux(190) 11.24/11.24 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,D>=4] 11.24/11.24 11.24/11.24 * Chain [52]: 597*s(1952)+29*s(1957)+22*s(1961)+28*s(1968)+84*s(1969)+56*s(1973)+28*s(1975)+28*s(1976)+336*s(1977)+56*s(1978)+84*s(1980)+56*s(1981)+56*s(1982)+6 11.24/11.24 Such that:aux(218) =< D 11.24/11.24 aux(219) =< D/2 11.24/11.24 s(1957) =< aux(219) 11.24/11.24 s(1958) =< aux(219) 11.24/11.24 s(1957) =< aux(218) 11.24/11.24 s(1952) =< aux(218) 11.24/11.24 s(1958) =< aux(218) 11.24/11.24 s(1961) =< s(1958) 11.24/11.24 s(1961) =< aux(218) 11.24/11.24 s(1964) =< aux(218) 11.24/11.24 s(1966) =< aux(218)-1 11.24/11.24 s(1967) =< s(1952)*aux(218) 11.24/11.24 s(1968) =< s(1952)*aux(218) 11.24/11.24 s(1969) =< s(1952)*s(1964) 11.24/11.24 s(1970) =< s(1952)*s(1964) 11.24/11.24 s(1972) =< s(1952)*s(1966) 11.24/11.24 s(1973) =< s(1970)*(1/2) 11.24/11.24 s(1974) =< s(1970)*(1/2) 11.24/11.24 s(1975) =< s(1972)*(1/2) 11.24/11.24 s(1976) =< s(1972)*(1/2) 11.24/11.24 s(1973) =< s(1970) 11.24/11.24 s(1977) =< s(1970) 11.24/11.24 s(1978) =< s(1974) 11.24/11.24 s(1978) =< s(1970) 11.24/11.24 s(1980) =< s(1972) 11.24/11.24 s(1975) =< s(1972) 11.24/11.24 s(1975) =< s(1970) 11.24/11.24 s(1981) =< s(1970) 11.24/11.24 s(1981) =< s(1972) 11.24/11.24 s(1976) =< s(1972) 11.24/11.24 s(1976) =< s(1967) 11.24/11.24 s(1982) =< s(1967) 11.24/11.24 s(1982) =< s(1972) 11.24/11.24 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,D>=5] 11.24/11.24 11.24/11.24 * Chain [51]: 309*s(2483)+17*s(2486)+11*s(2496)+33*s(2497)+22*s(2501)+11*s(2503)+11*s(2504)+132*s(2505)+22*s(2506)+33*s(2508)+22*s(2509)+22*s(2510)+3 11.24/11.24 Such that:aux(237) =< D 11.24/11.24 aux(238) =< D/2 11.24/11.24 s(2486) =< aux(238) 11.24/11.24 s(2483) =< aux(237) 11.24/11.24 s(2486) =< aux(237) 11.24/11.24 s(2492) =< aux(237) 11.24/11.24 s(2494) =< aux(237)-1 11.24/11.24 s(2495) =< s(2483)*aux(237) 11.24/11.24 s(2496) =< s(2483)*aux(237) 11.24/11.24 s(2497) =< s(2483)*s(2492) 11.24/11.24 s(2498) =< s(2483)*s(2492) 11.24/11.24 s(2500) =< s(2483)*s(2494) 11.24/11.24 s(2501) =< s(2498)*(1/2) 11.24/11.24 s(2502) =< s(2498)*(1/2) 11.24/11.24 s(2503) =< s(2500)*(1/2) 11.24/11.24 s(2504) =< s(2500)*(1/2) 11.24/11.24 s(2501) =< s(2498) 11.24/11.24 s(2505) =< s(2498) 11.24/11.24 s(2506) =< s(2502) 11.24/11.24 s(2506) =< s(2498) 11.24/11.24 s(2508) =< s(2500) 11.24/11.24 s(2503) =< s(2500) 11.24/11.24 s(2503) =< s(2498) 11.24/11.24 s(2509) =< s(2498) 11.24/11.24 s(2509) =< s(2500) 11.24/11.24 s(2504) =< s(2500) 11.24/11.24 s(2504) =< s(2495) 11.24/11.24 s(2510) =< s(2495) 11.24/11.24 s(2510) =< s(2500) 11.24/11.24 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,D>=6] 11.24/11.24 11.24/11.24 * Chain [50]: 188*s(2824)+11*s(2833)+33*s(2834)+22*s(2838)+11*s(2840)+11*s(2841)+132*s(2842)+22*s(2843)+33*s(2845)+22*s(2846)+22*s(2847)+6*s(2849)+3 11.24/11.24 Such that:aux(250) =< D 11.24/11.24 aux(251) =< D/2 11.24/11.24 s(2849) =< aux(251) 11.24/11.24 s(2824) =< aux(250) 11.24/11.24 s(2829) =< aux(250) 11.24/11.24 s(2831) =< aux(250)-1 11.24/11.24 s(2832) =< s(2824)*aux(250) 11.24/11.24 s(2833) =< s(2824)*aux(250) 11.24/11.24 s(2834) =< s(2824)*s(2829) 11.24/11.24 s(2835) =< s(2824)*s(2829) 11.24/11.24 s(2837) =< s(2824)*s(2831) 11.24/11.24 s(2838) =< s(2835)*(1/2) 11.24/11.24 s(2839) =< s(2835)*(1/2) 11.24/11.24 s(2840) =< s(2837)*(1/2) 11.24/11.24 s(2841) =< s(2837)*(1/2) 11.24/11.24 s(2838) =< s(2835) 11.24/11.24 s(2842) =< s(2835) 11.24/11.24 s(2843) =< s(2839) 11.24/11.24 s(2843) =< s(2835) 11.24/11.24 s(2845) =< s(2837) 11.24/11.24 s(2840) =< s(2837) 11.24/11.24 s(2840) =< s(2835) 11.24/11.24 s(2846) =< s(2835) 11.24/11.24 s(2846) =< s(2837) 11.24/11.24 s(2841) =< s(2837) 11.24/11.24 s(2841) =< s(2832) 11.24/11.24 s(2847) =< s(2832) 11.24/11.24 s(2847) =< s(2837) 11.24/11.24 s(2849) =< aux(250) 11.24/11.24 11.24/11.24 with precondition: [D=A,C=B,F=E,H=G,D>=7] 11.24/11.24 11.24/11.24 11.24/11.24 #### Cost of chains of start0(A,B,C,D,E,F,G,H,J): 11.24/11.24 * Chain [73]: 0 11.24/11.24 with precondition: [A=0] 11.24/11.24 11.24/11.24 * Chain [72]: 2 11.24/11.24 with precondition: [A=1] 11.24/11.24 11.24/11.24 * Chain [71]: 53/2 11.24/11.24 with precondition: [A=2] 11.24/11.24 11.24/11.24 * Chain [70]: 65 11.24/11.24 with precondition: [A=3] 11.24/11.24 11.24/11.24 * Chain [69]: 0 11.24/11.24 with precondition: [0>=A+1] 11.24/11.24 11.24/11.24 * Chain [68]: 0 11.24/11.24 with precondition: [A>=1] 11.24/11.24 11.24/11.24 * Chain [67]: 14*s(3124)+4*s(3125)+1 11.24/11.24 Such that:s(3123) =< A/2 11.24/11.24 aux(252) =< A 11.24/11.24 s(3124) =< aux(252) 11.24/11.24 s(3125) =< s(3123) 11.24/11.24 s(3125) =< aux(252) 11.24/11.24 11.24/11.24 with precondition: [A>=2] 11.24/11.24 11.24/11.24 * Chain [66]: 648*s(3131)+27*s(3132)+56*s(3137)+168*s(3138)+112*s(3141)+56*s(3143)+56*s(3144)+672*s(3145)+112*s(3146)+168*s(3147)+112*s(3148)+112*s(3149)+4 11.24/11.24 Such that:aux(253) =< A 11.24/11.24 aux(254) =< A/2 11.24/11.24 s(3131) =< aux(253) 11.24/11.24 s(3132) =< aux(254) 11.24/11.24 s(3132) =< aux(253) 11.24/11.24 s(3134) =< aux(253) 11.24/11.24 s(3135) =< aux(253)-1 11.24/11.24 s(3136) =< s(3131)*aux(253) 11.24/11.24 s(3137) =< s(3131)*aux(253) 11.24/11.24 s(3138) =< s(3131)*s(3134) 11.24/11.24 s(3139) =< s(3131)*s(3134) 11.24/11.24 s(3140) =< s(3131)*s(3135) 11.24/11.24 s(3141) =< s(3139)*(1/2) 11.24/11.24 s(3142) =< s(3139)*(1/2) 11.24/11.24 s(3143) =< s(3140)*(1/2) 11.24/11.24 s(3144) =< s(3140)*(1/2) 11.24/11.24 s(3141) =< s(3139) 11.24/11.24 s(3145) =< s(3139) 11.24/11.24 s(3146) =< s(3142) 11.24/11.24 s(3146) =< s(3139) 11.24/11.24 s(3147) =< s(3140) 11.24/11.24 s(3143) =< s(3140) 11.24/11.24 s(3143) =< s(3139) 11.24/11.24 s(3148) =< s(3139) 11.24/11.24 s(3148) =< s(3140) 11.24/11.24 s(3144) =< s(3140) 11.24/11.24 s(3144) =< s(3136) 11.24/11.24 s(3149) =< s(3136) 11.24/11.24 s(3149) =< s(3140) 11.24/11.24 11.24/11.24 with precondition: [A>=3] 11.24/11.24 11.24/11.24 * Chain [65]: 55*s(3169)+1417*s(3171)+114*s(3175)+342*s(3176)+228*s(3179)+114*s(3181)+114*s(3182)+1368*s(3183)+228*s(3184)+342*s(3185)+228*s(3186)+228*s(3187)+2*s(3188)+6 11.24/11.24 Such that:s(3167) =< A 11.24/11.24 s(3168) =< A/2 11.24/11.24 s(3169) =< s(3168) 11.24/11.24 s(3170) =< s(3168) 11.24/11.24 s(3171) =< s(3167) 11.24/11.24 s(3172) =< s(3167) 11.24/11.24 s(3173) =< s(3167)-1 11.24/11.24 s(3174) =< s(3171)*s(3167) 11.24/11.24 s(3175) =< s(3171)*s(3167) 11.24/11.24 s(3176) =< s(3171)*s(3172) 11.24/11.24 s(3177) =< s(3171)*s(3172) 11.24/11.24 s(3178) =< s(3171)*s(3173) 11.24/11.24 s(3179) =< s(3177)*(1/2) 11.24/11.24 s(3180) =< s(3177)*(1/2) 11.24/11.24 s(3181) =< s(3178)*(1/2) 11.24/11.24 s(3182) =< s(3178)*(1/2) 11.24/11.24 s(3179) =< s(3177) 11.24/11.24 s(3183) =< s(3177) 11.24/11.24 s(3184) =< s(3180) 11.24/11.24 s(3184) =< s(3177) 11.24/11.24 s(3185) =< s(3178) 11.24/11.24 s(3181) =< s(3178) 11.24/11.24 s(3181) =< s(3177) 11.24/11.24 s(3186) =< s(3177) 11.24/11.24 s(3186) =< s(3178) 11.24/11.24 s(3182) =< s(3178) 11.24/11.24 s(3182) =< s(3174) 11.24/11.24 s(3187) =< s(3174) 11.24/11.24 s(3187) =< s(3178) 11.24/11.24 s(3169) =< s(3167) 11.24/11.24 s(3170) =< s(3167) 11.24/11.24 s(3188) =< s(3170) 11.24/11.24 s(3188) =< s(3167) 11.24/11.24 11.24/11.24 with precondition: [A>=4] 11.24/11.24 11.24/11.24 * Chain [64]: 29*s(3191)+597*s(3193)+22*s(3194)+28*s(3198)+84*s(3199)+56*s(3202)+28*s(3204)+28*s(3205)+336*s(3206)+56*s(3207)+84*s(3208)+56*s(3209)+56*s(3210)+6 11.24/11.24 Such that:s(3189) =< A 11.24/11.24 s(3190) =< A/2 11.24/11.24 s(3191) =< s(3190) 11.24/11.24 s(3192) =< s(3190) 11.24/11.24 s(3191) =< s(3189) 11.24/11.24 s(3193) =< s(3189) 11.24/11.24 s(3192) =< s(3189) 11.24/11.24 s(3194) =< s(3192) 11.24/11.24 s(3194) =< s(3189) 11.24/11.24 s(3195) =< s(3189) 11.24/11.24 s(3196) =< s(3189)-1 11.24/11.24 s(3197) =< s(3193)*s(3189) 11.24/11.24 s(3198) =< s(3193)*s(3189) 11.24/11.24 s(3199) =< s(3193)*s(3195) 11.24/11.24 s(3200) =< s(3193)*s(3195) 11.24/11.24 s(3201) =< s(3193)*s(3196) 11.24/11.24 s(3202) =< s(3200)*(1/2) 11.24/11.24 s(3203) =< s(3200)*(1/2) 11.24/11.24 s(3204) =< s(3201)*(1/2) 11.24/11.24 s(3205) =< s(3201)*(1/2) 11.24/11.24 s(3202) =< s(3200) 11.24/11.24 s(3206) =< s(3200) 11.24/11.24 s(3207) =< s(3203) 11.24/11.24 s(3207) =< s(3200) 11.24/11.24 s(3208) =< s(3201) 11.24/11.24 s(3204) =< s(3201) 11.24/11.24 s(3204) =< s(3200) 11.24/11.24 s(3209) =< s(3200) 11.24/11.24 s(3209) =< s(3201) 11.24/11.24 s(3205) =< s(3201) 11.24/11.24 s(3205) =< s(3197) 11.24/11.24 s(3210) =< s(3197) 11.24/11.24 s(3210) =< s(3201) 11.24/11.24 11.24/11.24 with precondition: [A>=5] 11.24/11.24 11.24/11.24 * Chain [63]: 17*s(3213)+309*s(3214)+11*s(3218)+33*s(3219)+22*s(3222)+11*s(3224)+11*s(3225)+132*s(3226)+22*s(3227)+33*s(3228)+22*s(3229)+22*s(3230)+3 11.24/11.24 Such that:s(3211) =< A 11.24/11.24 s(3212) =< A/2 11.24/11.24 s(3213) =< s(3212) 11.24/11.24 s(3214) =< s(3211) 11.24/11.24 s(3213) =< s(3211) 11.24/11.24 s(3215) =< s(3211) 11.24/11.24 s(3216) =< s(3211)-1 11.24/11.24 s(3217) =< s(3214)*s(3211) 11.24/11.24 s(3218) =< s(3214)*s(3211) 11.24/11.24 s(3219) =< s(3214)*s(3215) 11.24/11.24 s(3220) =< s(3214)*s(3215) 11.24/11.24 s(3221) =< s(3214)*s(3216) 11.24/11.24 s(3222) =< s(3220)*(1/2) 11.24/11.24 s(3223) =< s(3220)*(1/2) 11.24/11.24 s(3224) =< s(3221)*(1/2) 11.24/11.24 s(3225) =< s(3221)*(1/2) 11.24/11.24 s(3222) =< s(3220) 11.24/11.24 s(3226) =< s(3220) 11.24/11.24 s(3227) =< s(3223) 11.24/11.24 s(3227) =< s(3220) 11.24/11.24 s(3228) =< s(3221) 11.24/11.24 s(3224) =< s(3221) 11.24/11.24 s(3224) =< s(3220) 11.24/11.24 s(3229) =< s(3220) 11.24/11.24 s(3229) =< s(3221) 11.24/11.24 s(3225) =< s(3221) 11.24/11.24 s(3225) =< s(3217) 11.24/11.24 s(3230) =< s(3217) 11.24/11.24 s(3230) =< s(3221) 11.24/11.24 11.24/11.24 with precondition: [A>=6] 11.24/11.24 11.24/11.24 * Chain [62]: 6*s(3233)+188*s(3234)+11*s(3238)+33*s(3239)+22*s(3242)+11*s(3244)+11*s(3245)+132*s(3246)+22*s(3247)+33*s(3248)+22*s(3249)+22*s(3250)+3 11.24/11.24 Such that:s(3231) =< A 11.24/11.24 s(3232) =< A/2 11.24/11.24 s(3233) =< s(3232) 11.24/11.24 s(3234) =< s(3231) 11.24/11.24 s(3235) =< s(3231) 11.24/11.24 s(3236) =< s(3231)-1 11.24/11.24 s(3237) =< s(3234)*s(3231) 11.24/11.24 s(3238) =< s(3234)*s(3231) 11.24/11.24 s(3239) =< s(3234)*s(3235) 11.24/11.24 s(3240) =< s(3234)*s(3235) 11.24/11.24 s(3241) =< s(3234)*s(3236) 11.24/11.24 s(3242) =< s(3240)*(1/2) 11.24/11.24 s(3243) =< s(3240)*(1/2) 11.24/11.24 s(3244) =< s(3241)*(1/2) 11.24/11.24 s(3245) =< s(3241)*(1/2) 11.24/11.24 s(3242) =< s(3240) 11.24/11.24 s(3246) =< s(3240) 11.24/11.24 s(3247) =< s(3243) 11.24/11.24 s(3247) =< s(3240) 11.24/11.24 s(3248) =< s(3241) 11.24/11.24 s(3244) =< s(3241) 11.24/11.24 s(3244) =< s(3240) 11.24/11.24 s(3249) =< s(3240) 11.24/11.24 s(3249) =< s(3241) 11.24/11.24 s(3245) =< s(3241) 11.24/11.24 s(3245) =< s(3237) 11.24/11.24 s(3250) =< s(3237) 11.24/11.24 s(3250) =< s(3241) 11.24/11.24 s(3233) =< s(3231) 11.24/11.24 11.24/11.24 with precondition: [A>=7] 11.24/11.24 11.24/11.24 11.24/11.24 Closed-form bounds of start0(A,B,C,D,E,F,G,H,J): 11.24/11.24 ------------------------------------- 11.24/11.24 * Chain [73] with precondition: [A=0] 11.24/11.24 - Upper bound: 0 11.24/11.24 - Complexity: constant 11.24/11.24 * Chain [72] with precondition: [A=1] 11.24/11.24 - Upper bound: 2 11.24/11.24 - Complexity: constant 11.24/11.24 * Chain [71] with precondition: [A=2] 11.24/11.24 - Upper bound: 53/2 11.24/11.24 - Complexity: constant 11.24/11.24 * Chain [70] with precondition: [A=3] 11.24/11.24 - Upper bound: 65 11.24/11.24 - Complexity: constant 11.24/11.24 * Chain [69] with precondition: [0>=A+1] 11.24/11.24 - Upper bound: 0 11.24/11.24 - Complexity: constant 11.24/11.24 * Chain [68] with precondition: [A>=1] 11.24/11.24 - Upper bound: 0 11.24/11.24 - Complexity: constant 11.24/11.24 * Chain [67] with precondition: [A>=2] 11.24/11.24 - Upper bound: 16*A+1 11.24/11.24 - Complexity: n 11.24/11.24 * Chain [66] with precondition: [A>=3] 11.24/11.24 - Upper bound: 648*A+4+1232*A*A+(A-1)*(224*A)+27/2*A 11.24/11.24 - Complexity: n^2 11.24/11.24 * Chain [65] with precondition: [A>=4] 11.24/11.24 - Upper bound: 1417*A+6+2508*A*A+(A-1)*(456*A)+57/2*A 11.24/11.24 - Complexity: n^2 11.24/11.24 * Chain [64] with precondition: [A>=5] 11.24/11.24 - Upper bound: 597*A+6+616*A*A+(A-1)*(112*A)+51/2*A 11.24/11.24 - Complexity: n^2 11.24/11.24 * Chain [63] with precondition: [A>=6] 11.24/11.24 - Upper bound: 309*A+3+242*A*A+(A-1)*(44*A)+17/2*A 11.24/11.24 - Complexity: n^2 11.24/11.24 * Chain [62] with precondition: [A>=7] 11.24/11.24 - Upper bound: 188*A+3+242*A*A+(A-1)*(44*A)+3*A 11.24/11.24 - Complexity: n^2 11.24/11.24 11.24/11.24 ### Maximum cost of start0(A,B,C,D,E,F,G,H,J): max([65,nat(A)*288+1+nat(A)*374*nat(A)+nat(A)*68*nat(nat(A)+ -1)+nat(A/2)*10+max([nat(A/2)*24+2,nat(A)*769+2+nat(A)*1276*nat(A)+nat(A)*232*nat(nat(A)+ -1)+nat(A/2)*30+(nat(A)*616*nat(A)+nat(A)*51+nat(A)*112*nat(nat(A)+ -1))])+(nat(A/2)*11+nat(A)*121)+(nat(A)*174+2+nat(A)*242*nat(A)+nat(A)*44*nat(nat(A)+ -1)+nat(A/2)*2)+(nat(A)*14+1+nat(A/2)*4)]) 11.24/11.24 Asymptotic class: n^2 11.24/11.24 * Total analysis performed in 10320 ms. 11.24/11.24 11.25/11.34 EOF