/export/starexec/sandbox2/solver/bin/starexec_run_its /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Preprocessing Cost Relations ===================================== #### Computed strongly connected components 0. recursive : [lbl13/25,lbl53/25] 1. recursive : [lbl53_loop_cont/26,lbl71/25] 2. non_recursive : [exit_location/1] 3. non_recursive : [stop/13] 4. non_recursive : [lbl71_loop_cont/14] 5. non_recursive : [start/13] 6. non_recursive : [start0/13] #### Obtained direct recursion through partial evaluation 0. SCC is partially evaluated into lbl53/25 1. SCC is partially evaluated into lbl71/25 2. SCC is completely evaluated into other SCCs 3. SCC is completely evaluated into other SCCs 4. SCC is partially evaluated into lbl71_loop_cont/14 5. SCC is partially evaluated into start/13 6. SCC is partially evaluated into start0/13 Control-Flow Refinement of Cost Relations ===================================== ### Specialization of cost equations lbl53/25 * CE 13 is refined into CE [20] * CE 11 is refined into CE [21] * CE 8 is refined into CE [22] * CE 10 is refined into CE [23] * CE 9 is refined into CE [24] * CE 12 is refined into CE [25] * CE 7 is refined into CE [26] ### Cost equations --> "Loop" of lbl53/25 * CEs [25] --> Loop 17 * CEs [26] --> Loop 18 * CEs [20] --> Loop 19 * CEs [21] --> Loop 20 * CEs [22] --> Loop 21 * CEs [23] --> Loop 22 * CEs [24] --> Loop 23 ### Ranking functions of CR lbl53(A,B,C,D,E,F,G,H,I,J,K,L,N,O,P,Q,R,S,T,U,V,W,X,Y,Z) #### Partial ranking functions of CR lbl53(A,B,C,D,E,F,G,H,I,J,K,L,N,O,P,Q,R,S,T,U,V,W,X,Y,Z) * Partial RF of phase [17,18]: - RF of loop [17:1]: A-B-2 depends on loops [18:1] A-I-1 depends on loops [18:1] -B+H-2 depends on loops [18:1] -B+K-1 depends on loops [18:1] H-I-1 depends on loops [18:1] -I+K depends on loops [18:1] - RF of loop [18:1]: B depends on loops [17:1] D I-1 depends on loops [17:1] K-1 ### Specialization of cost equations lbl71/25 * CE 16 is refined into CE [27,28] * CE 19 is refined into CE [29] * CE 18 is refined into CE [30,31] * CE 17 is refined into CE [32,33,34,35] ### Cost equations --> "Loop" of lbl71/25 * CEs [35] --> Loop 24 * CEs [34] --> Loop 25 * CEs [33] --> Loop 26 * CEs [32] --> Loop 27 * CEs [27] --> Loop 28 * CEs [28] --> Loop 29 * CEs [29] --> Loop 30 * CEs [31] --> Loop 31 * CEs [30] --> Loop 32 ### Ranking functions of CR lbl71(A,B,C,D,E,F,G,H,I,J,K,L,N,O,P,Q,R,S,T,U,V,W,X,Y,Z) #### Partial ranking functions of CR lbl71(A,B,C,D,E,F,G,H,I,J,K,L,N,O,P,Q,R,S,T,U,V,W,X,Y,Z) * Partial RF of phase [24,25,26,27]: - RF of loop [25:1]: A-I-2 depends on loops [24:1,26:1,27:1] H-I-2 depends on loops [24:1,26:1,27:1] -I+K-1 depends on loops [24:1,26:1,27:1] - RF of loop [26:1,27:1]: K-1 - RF of loop [27:1]: I depends on loops [24:1,25:1] ### Specialization of cost equations lbl71_loop_cont/14 * CE 14 is refined into CE [36] * CE 15 is refined into CE [37] ### Cost equations --> "Loop" of lbl71_loop_cont/14 * CEs [36] --> Loop 33 * CEs [37] --> Loop 34 ### Ranking functions of CR lbl71_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N) #### Partial ranking functions of CR lbl71_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N) ### Specialization of cost equations start/13 * CE 2 is refined into CE [38,39] * CE 3 is refined into CE [40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57] * CE 4 is refined into CE [58,59] * CE 6 is refined into CE [60,61,62,63,64,65,66,67,68,69] * CE 5 is refined into CE [70] ### Cost equations --> "Loop" of start/13 * CEs [42,45] --> Loop 35 * CEs [49,50,51,52,53,54,55] --> Loop 36 * CEs [39,40,41,43,44,46,59,61,62,63,65,66] --> Loop 37 * CEs [38,64,67] --> Loop 38 * CEs [70] --> Loop 39 * CEs [58,60] --> Loop 40 * CEs [56,57] --> Loop 41 * CEs [47,48,68,69] --> Loop 42 ### Ranking functions of CR start(A,B,C,D,E,F,G,H,I,J,K,L,N) #### Partial ranking functions of CR start(A,B,C,D,E,F,G,H,I,J,K,L,N) ### Specialization of cost equations start0/13 * CE 1 is refined into CE [71,72,73,74,75,76,77,78] ### Cost equations --> "Loop" of start0/13 * CEs [78] --> Loop 43 * CEs [77] --> Loop 44 * CEs [76] --> Loop 45 * CEs [75] --> Loop 46 * CEs [74] --> Loop 47 * CEs [73] --> Loop 48 * CEs [72] --> Loop 49 * CEs [71] --> Loop 50 ### Ranking functions of CR start0(A,B,C,D,E,F,G,H,I,J,K,L,N) #### Partial ranking functions of CR start0(A,B,C,D,E,F,G,H,I,J,K,L,N) Computing Bounds ===================================== #### Cost of chains of lbl53(A,B,C,D,E,F,G,H,I,J,K,L,N,O,P,Q,R,S,T,U,V,W,X,Y,Z): * Chain [[17,18],22]: 1*it(17)+1*it(18)+0 Such that:aux(4) =< -B+D+P+1 it(18) =< D aux(79) =< D+P+1 aux(76) =< 2*D+P+1 aux(80) =< -B+D+P aux(81) =< -B+O aux(82) =< -B+P aux(83) =< -I+P+1 aux(84) =< O aux(14) =< aux(82) aux(14) =< aux(83) aux(57) =< aux(84) aux(37) =< aux(76) aux(37) =< aux(79) aux(57) =< aux(79) it(18) =< aux(79) aux(69) =< aux(57) aux(69) =< aux(37)+1 aux(49) =< aux(37)+1 aux(9) =< it(18)*aux(69) aux(58) =< it(18)*aux(57) aux(1) =< it(18)*aux(57) aux(50) =< it(18)*aux(49) aux(1) =< it(18)*aux(49) aux(3) =< it(18)*aux(37) aux(5) =< it(18)*aux(37) aux(30) =< it(18)*aux(84) aux(3) =< it(18)*aux(84) aux(5) =< aux(30) aux(11) =< aux(9) aux(11) =< aux(58) aux(7) =< aux(58) aux(7) =< aux(50) it(17) =< aux(30)+aux(80) it(17) =< aux(9)+aux(81) it(17) =< aux(5)+aux(80) it(17) =< aux(3)+aux(4) it(17) =< aux(1)+aux(81) it(17) =< aux(11)+aux(14) it(17) =< aux(7)+aux(14) it(17) =< aux(11)+aux(81) it(17) =< aux(7)+aux(81) with precondition: [N=2,R=0,I=B+1,A=H,A=O,C=Q,E=S,F=T,G=U,A=V,J=X,L=Z,K=D+P+1,K=D+W,K=D+Y,1>=D,D>=0,I>=1,K>=2,A>=K+1,D+K>=I+1] * Chain [[17,18],21]: 1*it(17)+0 Such that:aux(4) =< -B+P+1 aux(86) =< A-B aux(87) =< -B+P it(17) =< aux(87) it(17) =< aux(86) it(17) =< aux(87) it(17) =< aux(4) it(17) =< aux(86) it(17) =< aux(87) it(17) =< aux(87) it(17) =< aux(86) it(17) =< aux(86) with precondition: [D=1,N=3,R=0,W=0,I=B+1,A=H,A=O,K=P+1,C=Q,E=S,G=U,A=V,J=X,K=Y+1,L=Z,I>=1,K>=I+1,A>=K+1] * Chain [[17,18],20]: 1*it(17)+1*it(18)+0 Such that:aux(76) =< D+K aux(6) =< -I+K aux(4) =< -I+K+1 aux(79) =< K it(18) =< K-Y aux(88) =< A aux(89) =< A-I aux(90) =< A-I+1 aux(91) =< -B+K+P-Y aux(92) =< -B+W aux(93) =< D-I-R+W aux(94) =< -I+P+1 aux(16) =< aux(91) aux(14) =< aux(92) aux(16) =< aux(93) aux(14) =< aux(94) aux(57) =< aux(88) aux(37) =< aux(76) aux(37) =< aux(79) aux(57) =< aux(79) it(18) =< aux(79) aux(69) =< aux(57) aux(69) =< aux(37)+1 aux(49) =< aux(37)+1 aux(9) =< it(18)*aux(69) aux(58) =< it(18)*aux(57) aux(1) =< it(18)*aux(57) aux(50) =< it(18)*aux(49) aux(1) =< it(18)*aux(49) aux(3) =< it(18)*aux(37) aux(5) =< it(18)*aux(37) aux(30) =< it(18)*aux(88) aux(3) =< it(18)*aux(88) aux(5) =< aux(30) aux(11) =< aux(9) aux(11) =< aux(58) aux(7) =< aux(58) aux(7) =< aux(50) it(17) =< aux(30)+aux(16) it(17) =< aux(9)+aux(89) it(17) =< aux(5)+aux(6) it(17) =< aux(3)+aux(4) it(17) =< aux(1)+aux(90) it(17) =< aux(11)+aux(14) it(17) =< aux(7)+aux(14) it(17) =< aux(11)+aux(89) it(17) =< aux(7)+aux(90) with precondition: [N=3,I=B+1,A=H,A=O,C=Q,E=S,G=U,A=V,P+1=W,J=X,L=Z,K+R=D+Y,1>=D,I>=1,R>=0,A>=K+1,D>=R,D+P>=R+1,K+2*D>=2*R+I+2,K+R>=D+P+2] * Chain [[17,18],19]: 1*it(17)+1*it(18)+0 Such that:it(18) =< D aux(76) =< D+K aux(79) =< K aux(95) =< A aux(96) =< A-B aux(97) =< -B+K aux(98) =< -2*I+2*K aux(99) =< -I+K aux(16) =< aux(97) aux(14) =< aux(98) aux(14) =< aux(99) aux(16) =< aux(99) aux(57) =< aux(95) aux(37) =< aux(76) aux(37) =< aux(79) aux(57) =< aux(79) it(18) =< aux(79) aux(69) =< aux(57) aux(69) =< aux(37)+1 aux(49) =< aux(37)+1 aux(9) =< it(18)*aux(69) aux(58) =< it(18)*aux(57) aux(1) =< it(18)*aux(57) aux(50) =< it(18)*aux(49) aux(1) =< it(18)*aux(49) aux(3) =< it(18)*aux(37) aux(5) =< it(18)*aux(37) aux(30) =< it(18)*aux(95) aux(3) =< it(18)*aux(95) aux(5) =< aux(30) aux(11) =< aux(9) aux(11) =< aux(58) aux(7) =< aux(58) aux(7) =< aux(50) it(17) =< aux(30)+aux(16) it(17) =< aux(9)+aux(96) it(17) =< aux(5)+aux(97) it(17) =< aux(3)+aux(97) it(17) =< aux(1)+aux(96) it(17) =< aux(11)+aux(14) it(17) =< aux(7)+aux(14) it(17) =< aux(11)+aux(96) it(17) =< aux(7)+aux(96) with precondition: [N=4,I=B+1,A=H,1>=D,D>=0,I>=1,K>=2,A>=K+1,D+K>=I+1] * Chain [23]: 0 with precondition: [B=0,D=1,I=1,K=1,N=2,P=0,R=1,W=1,Y=0,H=A,Q=C,S=E,T=F,U=G,X=J,Z=L,H=O,H=V,H>=2] * Chain [22]: 0 with precondition: [D=0,N=2,R=0,H=A,I=B+1,Q=C,S=E,T=F,U=G,X=J,I=K,Z=L,H=O,I=P+1,H=V,I=W,I=Y,I>=1,H>=I+1] * Chain [21]: 0 with precondition: [D=1,N=3,R=0,W=0,H=A,I=B+1,Q=C,S=E,U=G,X=J,I=K,Z=L,H=O,I=P+1,H=V,I=Y+1,I>=2,H>=I+1] * Chain [20]: 0 with precondition: [N=3,H=A,I=B+1,Q=C,S=E,U=G,X=J,Z=L,H=O,I=P+1,D=R,H=V,I=W,K=Y,1>=D,D>=0,I>=1,K>=I+1,H>=K+1] * Chain [19]: 0 with precondition: [N=4,H=A,I=B+1,1>=D,D>=0,I>=1,K>=I,H>=K+1] #### Cost of chains of lbl71(A,B,C,D,E,F,G,H,I,J,K,L,N,O,P,Q,R,S,T,U,V,W,X,Y,Z): * Chain [[24,25,26,27]]...: 3*it(24)+3*it(26)+1*s(83)+0 Such that:aux(106) =< -D+2*K aux(212) =< H aux(213) =< H-I+2*K aux(109) =< -I+2*K aux(224) =< K aux(108) =< aux(212) aux(149) =< aux(212) s(30) =< aux(212) aux(108) =< aux(213) aux(149) =< aux(213) aux(106) =< aux(224) aux(109) =< aux(224) it(26) =< aux(224) s(30) =< aux(224) aux(151) =< aux(109) aux(150) =< aux(109)-1 aux(149) =< aux(108) aux(106) =< s(30)-2 aux(151) =< aux(106)+2 aux(150) =< aux(106)+1 s(84) =< it(26)*aux(149) s(86) =< it(26)*aux(151) s(85) =< it(26)*aux(150) s(83) =< s(85) s(83) =< s(84) s(83) =< s(86) with precondition: [A=H,K>=2,D>=0,I>=D,K>=I+1,A>=K+1] * Chain [[24,25,26,27],32]: 3*it(24)+3*it(26)+1*s(83)+0 Such that:aux(106) =< -D+2*K aux(109) =< -I+2*K aux(213) =< -I+2*K+O aux(212) =< O aux(225) =< K aux(108) =< aux(212) aux(149) =< aux(212) s(30) =< aux(212) aux(108) =< aux(213) aux(149) =< aux(213) aux(106) =< aux(225) aux(109) =< aux(225) it(26) =< aux(225) s(30) =< aux(225) aux(151) =< aux(109) aux(150) =< aux(109)-1 aux(149) =< aux(108) aux(106) =< s(30)-2 aux(151) =< aux(106)+2 aux(150) =< aux(106)+1 s(84) =< it(26)*aux(149) s(86) =< it(26)*aux(151) s(85) =< it(26)*aux(150) s(83) =< s(85) s(83) =< s(84) s(83) =< s(86) with precondition: [N=2,P=0,R=1,W=1,Y=0,A=H,A=O,C=Q,E=S,G=U,A=V,J=X,L=Z,D>=0,K>=2,I>=D,K>=I+1,A>=K+1] * Chain [[24,25,26,27],31]: 3*it(24)+3*it(26)+1*s(83)+1*s(88)+1*s(110)+0 Such that:s(88) =< 1 aux(106) =< -D+2*K aux(109) =< -I+2*K aux(213) =< -I+2*K+O s(92) =< K+O-P aux(221) =< K-P s(90) =< P+3 aux(228) =< K aux(229) =< O aux(230) =< P+2 aux(226) =< aux(228) s(92) =< aux(229) aux(226) =< aux(230) s(97) =< aux(229) s(98) =< s(90) s(98) =< aux(230) s(97) =< aux(230) s(88) =< aux(230) s(99) =< s(97) s(99) =< s(98)+1 s(100) =< s(98)+1 s(101) =< s(88)*s(99) s(102) =< s(88)*s(97) s(103) =< s(88)*s(97) s(104) =< s(88)*s(100) s(103) =< s(88)*s(100) s(105) =< s(88)*s(98) s(106) =< s(88)*s(98) s(107) =< s(88)*aux(229) s(105) =< s(88)*aux(229) s(106) =< s(107) s(108) =< s(101) s(108) =< s(102) s(109) =< s(102) s(109) =< s(104) s(110) =< s(107)+aux(226) s(110) =< s(101)+s(92) s(110) =< s(106)+aux(226) s(110) =< s(105)+aux(226) s(110) =< s(103)+s(92) s(110) =< s(108)+aux(226) s(110) =< s(109)+aux(226) s(110) =< s(108)+s(92) s(110) =< s(109)+s(92) aux(108) =< aux(229) aux(149) =< aux(229) s(30) =< aux(229) aux(108) =< aux(213) aux(149) =< aux(213) aux(106) =< aux(228) aux(109) =< aux(228) it(26) =< aux(228) s(30) =< aux(228) it(26) =< aux(221) aux(151) =< aux(109) aux(150) =< aux(109)-1 aux(149) =< aux(108) aux(106) =< s(30)-2 aux(151) =< aux(106)+2 aux(150) =< aux(106)+1 s(84) =< it(26)*aux(149) s(86) =< it(26)*aux(151) s(85) =< it(26)*aux(150) s(83) =< s(85) s(83) =< s(84) s(83) =< s(86) with precondition: [N=2,R=0,A=H,A=O,C=Q,E=S,G=U,A=V,P+1=W,J=X,P+1=Y,L=Z,D>=0,P>=0,I>=D,K>=I+1,A>=K+1,K>=P+2,2*K>=I+P+4] * Chain [[24,25,26,27],30]: 3*it(24)+3*it(26)+1*s(83)+0 Such that:aux(106) =< -D+2*K aux(212) =< H aux(213) =< H-I+2*K aux(109) =< -I+2*K aux(231) =< K aux(108) =< aux(212) aux(149) =< aux(212) s(30) =< aux(212) aux(108) =< aux(213) aux(149) =< aux(213) aux(106) =< aux(231) aux(109) =< aux(231) it(26) =< aux(231) s(30) =< aux(231) aux(151) =< aux(109) aux(150) =< aux(109)-1 aux(149) =< aux(108) aux(106) =< s(30)-2 aux(151) =< aux(106)+2 aux(150) =< aux(106)+1 s(84) =< it(26)*aux(149) s(86) =< it(26)*aux(151) s(85) =< it(26)*aux(150) s(83) =< s(85) s(83) =< s(84) s(83) =< s(86) with precondition: [N=4,A=H,D>=0,K>=2,I>=D,K>=I+1,A>=K+1] * Chain [[24,25,26,27],29]: 3*it(24)+3*it(26)+1*s(83)+1*s(111)+1*s(134)+0 Such that:s(111) =< 1 aux(106) =< -D+2*K aux(213) =< H-I+2*K aux(109) =< -I+2*K s(117) =< 2*K aux(233) =< H aux(234) =< H+K aux(235) =< K aux(236) =< K+1 s(112) =< aux(234) s(113) =< aux(234) aux(221) =< aux(235) s(113) =< aux(235) aux(221) =< aux(236) s(112) =< aux(236) s(120) =< s(117) s(120) =< aux(235) s(121) =< aux(233) s(122) =< s(112) s(122) =< s(113) s(121) =< s(113) s(111) =< s(113) s(123) =< s(121) s(123) =< s(122)+1 s(124) =< s(122)+1 s(125) =< s(111)*s(123) s(126) =< s(111)*s(121) s(127) =< s(111)*s(121) s(128) =< s(111)*s(124) s(127) =< s(111)*s(124) s(129) =< s(111)*s(122) s(130) =< s(111)*s(122) s(131) =< s(111)*aux(233) s(129) =< s(111)*aux(233) s(130) =< s(131) s(132) =< s(125) s(132) =< s(126) s(133) =< s(126) s(133) =< s(128) s(134) =< s(131)+aux(235) s(134) =< s(125)+aux(234) s(134) =< s(130)+aux(235) s(134) =< s(129)+aux(235) s(134) =< s(127)+aux(234) s(134) =< s(132)+s(120) s(134) =< s(133)+s(120) s(134) =< s(132)+aux(234) s(134) =< s(133)+aux(234) aux(108) =< aux(233) aux(149) =< aux(233) s(30) =< aux(233) aux(108) =< aux(213) aux(149) =< aux(213) aux(106) =< aux(235) aux(109) =< aux(235) it(26) =< aux(235) s(30) =< aux(235) it(26) =< aux(221) aux(151) =< aux(109) aux(150) =< aux(109)-1 aux(149) =< aux(108) aux(106) =< s(30)-2 aux(151) =< aux(106)+2 aux(150) =< aux(106)+1 s(84) =< it(26)*aux(149) s(86) =< it(26)*aux(151) s(85) =< it(26)*aux(150) s(83) =< s(85) s(83) =< s(84) s(83) =< s(86) with precondition: [N=4,A=H,D>=0,I>=D,K>=I+1,2*K>=I+4,A>=K+1] * Chain [[24,25,26,27],28]: 3*it(24)+3*it(26)+1*s(83)+0 Such that:aux(106) =< -D+2*K aux(212) =< H aux(213) =< H-I+2*K aux(109) =< -I+2*K aux(237) =< K aux(108) =< aux(212) aux(149) =< aux(212) s(30) =< aux(212) aux(108) =< aux(213) aux(149) =< aux(213) aux(106) =< aux(237) aux(109) =< aux(237) it(26) =< aux(237) s(30) =< aux(237) aux(151) =< aux(109) aux(150) =< aux(109)-1 aux(149) =< aux(108) aux(106) =< s(30)-2 aux(151) =< aux(106)+2 aux(150) =< aux(106)+1 s(84) =< it(26)*aux(149) s(86) =< it(26)*aux(151) s(85) =< it(26)*aux(150) s(83) =< s(85) s(83) =< s(84) s(83) =< s(86) with precondition: [N=4,A=H,D>=0,K>=2,I>=D,K>=I+1,A>=K+1] * Chain [32]: 0 with precondition: [D=0,I=0,K=1,N=2,P=0,R=1,W=1,Y=0,Q=C,S=E,T=F,U=G,A=H,X=J,Z=L,A=O,A=V,A>=2] * Chain [31]: 1*s(88)+1*s(110)+0 Such that:s(88) =< 1 s(95) =< A s(92) =< A-I s(89) =< K s(90) =< K+1 aux(226) =< -D+K aux(227) =< -I+K s(93) =< aux(226) s(93) =< aux(227) s(97) =< s(95) s(98) =< s(90) s(98) =< s(89) s(97) =< s(89) s(88) =< s(89) s(99) =< s(97) s(99) =< s(98)+1 s(100) =< s(98)+1 s(101) =< s(88)*s(99) s(102) =< s(88)*s(97) s(103) =< s(88)*s(97) s(104) =< s(88)*s(100) s(103) =< s(88)*s(100) s(105) =< s(88)*s(98) s(106) =< s(88)*s(98) s(107) =< s(88)*s(95) s(105) =< s(88)*s(95) s(106) =< s(107) s(108) =< s(101) s(108) =< s(102) s(109) =< s(102) s(109) =< s(104) s(110) =< s(107)+aux(227) s(110) =< s(101)+s(92) s(110) =< s(106)+aux(227) s(110) =< s(105)+aux(227) s(110) =< s(103)+s(92) s(110) =< s(108)+s(93) s(110) =< s(109)+s(93) s(110) =< s(108)+s(92) s(110) =< s(109)+s(92) with precondition: [N=2,R=0,Q=C,S=E,T=F,U=G,A=H,X=J,Y+1=K,Z=L,A=O,Y=P+1,A=V,Y=W,D>=0,Y>=1,I>=D,Y>=I,A>=Y+2] * Chain [30]: 0 with precondition: [N=4] * Chain [29]: 1*s(111)+1*s(134)+0 Such that:s(111) =< 1 s(114) =< H s(115) =< H-I s(117) =< -2*I+2*K s(113) =< K s(112) =< K+1 aux(232) =< -I+K s(120) =< s(117) s(120) =< aux(232) s(121) =< s(114) s(122) =< s(112) s(122) =< s(113) s(121) =< s(113) s(111) =< s(113) s(123) =< s(121) s(123) =< s(122)+1 s(124) =< s(122)+1 s(125) =< s(111)*s(123) s(126) =< s(111)*s(121) s(127) =< s(111)*s(121) s(128) =< s(111)*s(124) s(127) =< s(111)*s(124) s(129) =< s(111)*s(122) s(130) =< s(111)*s(122) s(131) =< s(111)*s(114) s(129) =< s(111)*s(114) s(130) =< s(131) s(132) =< s(125) s(132) =< s(126) s(133) =< s(126) s(133) =< s(128) s(134) =< s(131)+aux(232) s(134) =< s(125)+s(115) s(134) =< s(130)+aux(232) s(134) =< s(129)+aux(232) s(134) =< s(127)+s(115) s(134) =< s(132)+s(120) s(134) =< s(133)+s(120) s(134) =< s(132)+s(115) s(134) =< s(133)+s(115) with precondition: [N=4,A=H,D>=0,K>=2,I>=D,K>=I+1,A>=K+1] * Chain [28]: 0 with precondition: [N=4,A=H,D>=0,I>=D,K>=I+1,A>=K+1] #### Cost of chains of lbl71_loop_cont(A,B,C,D,E,F,G,H,I,J,K,L,M,N): * Chain [34]: 0 with precondition: [A=2] * Chain [33]: 0 with precondition: [A=4] #### Cost of chains of start(A,B,C,D,E,F,G,H,I,J,K,L,N): * Chain [42]...: 12*s(197)+4*s(203)+12*s(204)+1 Such that:aux(251) =< A aux(252) =< 2*A aux(253) =< 3*A s(189) =< aux(252) s(192) =< aux(252) s(194) =< aux(251) s(195) =< aux(251) s(194) =< aux(253) s(195) =< aux(253) s(189) =< aux(251) s(192) =< aux(251) s(197) =< aux(251) s(198) =< s(192) s(199) =< s(192)-1 s(195) =< s(194) s(189) =< aux(251)-2 s(198) =< s(189)+2 s(199) =< s(189)+1 s(200) =< s(197)*s(195) s(201) =< s(197)*s(198) s(202) =< s(197)*s(199) s(203) =< s(202) s(203) =< s(200) s(203) =< s(201) with precondition: [H=A,C=B,E=D,G=F,J=I,L=K,H>=3] * Chain [41]...: 2*s(280)+6*s(289)+2*s(295)+6*s(296)+1 Such that:aux(260) =< H aux(261) =< 2*H aux(262) =< 3*H s(261) =< aux(261) s(281) =< aux(261) s(284) =< aux(261) s(261) =< aux(262) s(286) =< aux(260) s(287) =< aux(260) s(286) =< aux(262) s(287) =< aux(262) s(281) =< aux(260) s(284) =< aux(260) s(289) =< aux(260) s(290) =< s(284) s(291) =< s(284)-1 s(287) =< s(286) s(281) =< aux(260)-2 s(290) =< s(281)+2 s(291) =< s(281)+1 s(292) =< s(289)*s(287) s(293) =< s(289)*s(290) s(294) =< s(289)*s(291) s(295) =< s(294) s(295) =< s(292) s(295) =< s(293) s(280) =< s(261) s(280) =< aux(260) with precondition: [H=A,C=B,E=D,G=F,J=I,L=K,H>=4] * Chain [40]: 0 with precondition: [A=2,H=2,C=B,E=D,G=F,J=I,L=K] * Chain [39]: 0 with precondition: [H=A,C=B,E=D,G=F,J=I,L=K,1>=H] * Chain [38]: 0 with precondition: [H=A,C=B,E=D,G=F,J=I,L=K,H>=2] * Chain [37]: 1*s(364)+6*s(373)+2*s(379)+24*s(380)+4*s(381)+2*s(402)+2*s(429)+16*s(432)+5*s(438)+1*s(502)+1*s(526)+3*s(530)+1*s(536)+1*s(575)+1*s(601)+1 Such that:aux(274) =< H+1 aux(275) =< H+2 aux(277) =< 2*H+1 aux(278) =< 2*H+2 aux(283) =< 1 aux(284) =< A aux(285) =< 2*A aux(286) =< 3*A aux(287) =< H aux(288) =< 2*H aux(289) =< 3*H s(381) =< aux(283) s(502) =< aux(283) s(575) =< aux(283) s(381) =< aux(287) s(391) =< aux(287) s(391) =< aux(287)+1 s(392) =< aux(287)+1 s(393) =< s(381)*s(391) s(394) =< s(381)*aux(287) s(395) =< s(381)*aux(287) s(396) =< s(381)*s(392) s(395) =< s(381)*s(392) s(398) =< s(381)*aux(287) s(398) =< s(394) s(400) =< s(393) s(400) =< s(394) s(401) =< s(394) s(401) =< s(396) s(402) =< s(394)+aux(287) s(402) =< s(393)+aux(287) s(402) =< s(398)+aux(287) s(402) =< s(395)+aux(287) s(402) =< s(400)+aux(287) s(402) =< s(401)+aux(287) s(413) =< aux(288) s(350) =< aux(288) s(350) =< aux(287) s(429) =< s(394)+aux(287) s(429) =< s(393)+aux(287) s(429) =< s(398)+aux(287) s(429) =< s(395)+aux(287) s(429) =< s(400)+s(350) s(429) =< s(401)+s(350) s(429) =< s(400)+aux(287) s(429) =< s(401)+aux(287) s(430) =< aux(287) s(431) =< aux(287) s(430) =< aux(289) s(431) =< aux(289) s(413) =< aux(287) s(432) =< aux(287) s(433) =< s(350) s(434) =< s(350)-1 s(431) =< s(430) s(413) =< aux(287)-2 s(433) =< s(413)+2 s(434) =< s(413)+1 s(435) =< s(432)*s(431) s(436) =< s(432)*s(433) s(437) =< s(432)*s(434) s(438) =< s(437) s(438) =< s(435) s(438) =< s(436) s(507) =< aux(274) s(511) =< aux(274) s(507) =< aux(275) s(508) =< aux(275) s(506) =< aux(277) s(511) =< aux(277) s(506) =< aux(278) s(508) =< aux(278) s(512) =< aux(287) s(506) =< aux(287) s(512) =< s(511) s(514) =< s(508) s(514) =< s(511) s(502) =< s(511) s(515) =< s(512) s(515) =< s(514)+1 s(516) =< s(514)+1 s(517) =< s(502)*s(515) s(518) =< s(502)*s(512) s(519) =< s(502)*s(512) s(520) =< s(502)*s(516) s(519) =< s(502)*s(516) s(521) =< s(502)*s(514) s(522) =< s(502)*s(514) s(523) =< s(502)*aux(287) s(521) =< s(502)*aux(287) s(522) =< s(523) s(524) =< s(517) s(524) =< s(518) s(525) =< s(518) s(525) =< s(520) s(526) =< s(523)+s(512) s(526) =< s(517)+s(506) s(526) =< s(522)+s(512) s(526) =< s(521)+s(512) s(526) =< s(519)+s(506) s(526) =< s(524)+s(512) s(526) =< s(525)+s(512) s(526) =< s(524)+s(506) s(526) =< s(525)+s(506) s(530) =< aux(287) s(530) =< s(507) s(533) =< s(530)*s(431) s(534) =< s(530)*s(433) s(535) =< s(530)*s(434) s(536) =< s(535) s(536) =< s(533) s(536) =< s(534) s(588) =< aux(287) s(588) =< s(350) s(575) =< s(350) s(590) =< s(588) s(590) =< s(350)+1 s(591) =< s(350)+1 s(592) =< s(575)*s(590) s(593) =< s(575)*s(588) s(594) =< s(575)*s(588) s(595) =< s(575)*s(591) s(594) =< s(575)*s(591) s(596) =< s(575)*s(350) s(597) =< s(575)*s(350) s(598) =< s(575)*aux(287) s(596) =< s(575)*aux(287) s(597) =< s(598) s(599) =< s(592) s(599) =< s(593) s(600) =< s(593) s(600) =< s(595) s(601) =< s(598)+aux(287) s(601) =< s(592)+aux(288) s(601) =< s(597)+aux(287) s(601) =< s(596)+aux(287) s(601) =< s(594)+aux(288) s(601) =< s(599)+s(350) s(601) =< s(600)+s(350) s(601) =< s(599)+aux(288) s(601) =< s(600)+aux(288) s(365) =< aux(285) s(366) =< aux(285) s(370) =< aux(284) s(371) =< aux(284) s(370) =< aux(286) s(371) =< aux(286) s(365) =< aux(284) s(366) =< aux(284) s(373) =< aux(284) s(374) =< s(366) s(375) =< s(366)-1 s(371) =< s(370) s(365) =< aux(284)-2 s(374) =< s(365)+2 s(375) =< s(365)+1 s(376) =< s(373)*s(371) s(377) =< s(373)*s(374) s(378) =< s(373)*s(375) s(379) =< s(378) s(379) =< s(376) s(379) =< s(377) s(364) =< aux(287) s(364) =< s(350) with precondition: [H=A,C=B,E=D,G=F,J=I,L=K,H>=3] * Chain [36]: 4*s(640)+15*s(649)+4*s(655)+15*s(656)+2*s(685)+1*s(706)+1*s(735)+1*s(759)+3*s(763)+1*s(769)+1*s(853)+1*s(892)+1*s(918)+1 Such that:aux(295) =< H+1 aux(296) =< H+2 aux(298) =< 2*H+1 aux(299) =< 2*H+2 aux(309) =< 1 aux(310) =< H aux(311) =< 2*H aux(312) =< 3*H s(685) =< aux(309) s(735) =< aux(309) s(892) =< aux(309) s(685) =< aux(310) s(673) =< aux(310) s(673) =< aux(310)+1 s(674) =< aux(310)+1 s(697) =< s(685)*s(673) s(698) =< s(685)*aux(310) s(699) =< s(685)*aux(310) s(700) =< s(685)*s(674) s(699) =< s(685)*s(674) s(702) =< s(685)*aux(310) s(702) =< s(698) s(704) =< s(697) s(704) =< s(698) s(705) =< s(698) s(705) =< s(700) s(706) =< s(698)+aux(310) s(706) =< s(697)+aux(310) s(706) =< s(702)+aux(310) s(706) =< s(699)+aux(310) s(706) =< s(704)+aux(310) s(706) =< s(705)+aux(310) s(649) =< aux(310) s(740) =< aux(295) s(744) =< aux(295) s(740) =< aux(296) s(741) =< aux(296) s(621) =< aux(311) s(641) =< aux(311) s(642) =< aux(311) s(739) =< aux(298) s(744) =< aux(298) s(739) =< aux(299) s(741) =< aux(299) s(621) =< aux(312) s(745) =< aux(310) s(739) =< aux(310) s(745) =< s(744) s(747) =< s(741) s(747) =< s(744) s(735) =< s(744) s(748) =< s(745) s(748) =< s(747)+1 s(749) =< s(747)+1 s(750) =< s(735)*s(748) s(751) =< s(735)*s(745) s(752) =< s(735)*s(745) s(753) =< s(735)*s(749) s(752) =< s(735)*s(749) s(754) =< s(735)*s(747) s(755) =< s(735)*s(747) s(756) =< s(735)*aux(310) s(754) =< s(735)*aux(310) s(755) =< s(756) s(757) =< s(750) s(757) =< s(751) s(758) =< s(751) s(758) =< s(753) s(759) =< s(756)+s(745) s(759) =< s(750)+s(739) s(759) =< s(755)+s(745) s(759) =< s(754)+s(745) s(759) =< s(752)+s(739) s(759) =< s(757)+s(745) s(759) =< s(758)+s(745) s(759) =< s(757)+s(739) s(759) =< s(758)+s(739) s(646) =< aux(310) s(647) =< aux(310) s(646) =< aux(312) s(647) =< aux(312) s(641) =< aux(310) s(642) =< aux(310) s(763) =< aux(310) s(763) =< s(740) s(650) =< s(642) s(651) =< s(642)-1 s(647) =< s(646) s(641) =< aux(310)-2 s(650) =< s(641)+2 s(651) =< s(641)+1 s(766) =< s(763)*s(647) s(767) =< s(763)*s(650) s(768) =< s(763)*s(651) s(769) =< s(768) s(769) =< s(766) s(769) =< s(767) s(640) =< s(621) s(640) =< aux(310) s(853) =< s(698)+aux(310) s(853) =< s(697)+aux(310) s(853) =< s(702)+aux(310) s(853) =< s(699)+aux(310) s(853) =< s(704)+s(642) s(853) =< s(705)+s(642) s(853) =< s(704)+aux(310) s(853) =< s(705)+aux(310) s(652) =< s(649)*s(647) s(653) =< s(649)*s(650) s(654) =< s(649)*s(651) s(655) =< s(654) s(655) =< s(652) s(655) =< s(653) s(905) =< aux(310) s(905) =< s(642) s(892) =< s(642) s(907) =< s(905) s(907) =< s(642)+1 s(908) =< s(642)+1 s(909) =< s(892)*s(907) s(910) =< s(892)*s(905) s(911) =< s(892)*s(905) s(912) =< s(892)*s(908) s(911) =< s(892)*s(908) s(913) =< s(892)*s(642) s(914) =< s(892)*s(642) s(915) =< s(892)*aux(310) s(913) =< s(892)*aux(310) s(914) =< s(915) s(916) =< s(909) s(916) =< s(910) s(917) =< s(910) s(917) =< s(912) s(918) =< s(915)+aux(310) s(918) =< s(909)+aux(311) s(918) =< s(914)+aux(310) s(918) =< s(913)+aux(310) s(918) =< s(911)+aux(311) s(918) =< s(916)+s(642) s(918) =< s(917)+s(642) s(918) =< s(916)+aux(311) s(918) =< s(917)+aux(311) with precondition: [H=A,C=B,E=D,G=F,J=I,L=K,H>=4] * Chain [35]: 1*s(958)+1*s(982)+3*s(986)+1*s(992)+6*s(993)+1*s(994)+1*s(1020)+3*s(1024)+1*s(1030)+1 Such that:aux(314) =< H+1 aux(315) =< H+2 aux(317) =< 2*H+1 aux(318) =< 2*H+2 aux(321) =< 1 aux(322) =< H aux(323) =< 2*H aux(324) =< 3*H s(958) =< aux(321) s(994) =< aux(321) s(963) =< aux(314) s(967) =< aux(314) s(963) =< aux(315) s(964) =< aux(315) s(959) =< aux(323) s(960) =< aux(323) s(962) =< aux(317) s(967) =< aux(317) s(962) =< aux(318) s(964) =< aux(318) s(968) =< aux(322) s(962) =< aux(322) s(968) =< s(967) s(970) =< s(964) s(970) =< s(967) s(958) =< s(967) s(971) =< s(968) s(971) =< s(970)+1 s(972) =< s(970)+1 s(973) =< s(958)*s(971) s(974) =< s(958)*s(968) s(975) =< s(958)*s(968) s(976) =< s(958)*s(972) s(975) =< s(958)*s(972) s(977) =< s(958)*s(970) s(978) =< s(958)*s(970) s(979) =< s(958)*aux(322) s(977) =< s(958)*aux(322) s(978) =< s(979) s(980) =< s(973) s(980) =< s(974) s(981) =< s(974) s(981) =< s(976) s(982) =< s(979)+s(968) s(982) =< s(973)+s(962) s(982) =< s(978)+s(968) s(982) =< s(977)+s(968) s(982) =< s(975)+s(962) s(982) =< s(980)+s(968) s(982) =< s(981)+s(968) s(982) =< s(980)+s(962) s(982) =< s(981)+s(962) s(983) =< aux(322) s(984) =< aux(322) s(983) =< aux(324) s(984) =< aux(324) s(959) =< aux(322) s(960) =< aux(322) s(986) =< aux(322) s(986) =< s(963) s(987) =< s(960) s(988) =< s(960)-1 s(984) =< s(983) s(959) =< aux(322)-2 s(987) =< s(959)+2 s(988) =< s(959)+1 s(989) =< s(986)*s(984) s(990) =< s(986)*s(987) s(991) =< s(986)*s(988) s(992) =< s(991) s(992) =< s(989) s(992) =< s(990) s(1007) =< aux(322) s(1007) =< s(960) s(994) =< s(960) s(1009) =< s(1007) s(1009) =< s(960)+1 s(1010) =< s(960)+1 s(1011) =< s(994)*s(1009) s(1012) =< s(994)*s(1007) s(1013) =< s(994)*s(1007) s(1014) =< s(994)*s(1010) s(1013) =< s(994)*s(1010) s(1015) =< s(994)*s(960) s(1016) =< s(994)*s(960) s(1017) =< s(994)*aux(322) s(1015) =< s(994)*aux(322) s(1016) =< s(1017) s(1018) =< s(1011) s(1018) =< s(1012) s(1019) =< s(1012) s(1019) =< s(1014) s(1020) =< s(1017)+aux(322) s(1020) =< s(1011)+aux(323) s(1020) =< s(1016)+aux(322) s(1020) =< s(1015)+aux(322) s(1020) =< s(1013)+aux(323) s(1020) =< s(1018)+s(960) s(1020) =< s(1019)+s(960) s(1020) =< s(1018)+aux(323) s(1020) =< s(1019)+aux(323) s(1024) =< aux(322) s(1027) =< s(1024)*s(984) s(1028) =< s(1024)*s(987) s(1029) =< s(1024)*s(988) s(1030) =< s(1029) s(1030) =< s(1027) s(1030) =< s(1028) with precondition: [H=A,C=B,E=D,G=F,J=I,L=K,2*H>=7] #### Cost of chains of start0(A,B,C,D,E,F,G,H,I,J,K,L,N): * Chain [50]: 0 with precondition: [A=2] * Chain [49]: 0 with precondition: [1>=A] * Chain [48]: 0 with precondition: [A>=2] * Chain [47]: 4*s(1043)+1*s(1044)+1*s(1045)+2*s(1055)+2*s(1058)+22*s(1061)+7*s(1067)+1*s(1085)+3*s(1086)+1*s(1090)+1*s(1103)+1*s(1115)+24*s(1116)+1 Such that:s(1036) =< 1 s(1032) =< A+1 s(1033) =< A+2 s(1034) =< 2*A+1 s(1035) =< 2*A+2 aux(325) =< A aux(326) =< 2*A aux(327) =< 3*A s(1043) =< s(1036) s(1044) =< s(1036) s(1045) =< s(1036) s(1043) =< aux(325) s(1046) =< aux(325) s(1046) =< aux(325)+1 s(1047) =< aux(325)+1 s(1048) =< s(1043)*s(1046) s(1049) =< s(1043)*aux(325) s(1050) =< s(1043)*aux(325) s(1051) =< s(1043)*s(1047) s(1050) =< s(1043)*s(1047) s(1052) =< s(1043)*aux(325) s(1052) =< s(1049) s(1053) =< s(1048) s(1053) =< s(1049) s(1054) =< s(1049) s(1054) =< s(1051) s(1055) =< s(1049)+aux(325) s(1055) =< s(1048)+aux(325) s(1055) =< s(1052)+aux(325) s(1055) =< s(1050)+aux(325) s(1055) =< s(1053)+aux(325) s(1055) =< s(1054)+aux(325) s(1056) =< aux(326) s(1057) =< aux(326) s(1057) =< aux(325) s(1058) =< s(1049)+aux(325) s(1058) =< s(1048)+aux(325) s(1058) =< s(1052)+aux(325) s(1058) =< s(1050)+aux(325) s(1058) =< s(1053)+s(1057) s(1058) =< s(1054)+s(1057) s(1058) =< s(1053)+aux(325) s(1058) =< s(1054)+aux(325) s(1059) =< aux(325) s(1060) =< aux(325) s(1059) =< aux(327) s(1060) =< aux(327) s(1056) =< aux(325) s(1061) =< aux(325) s(1062) =< s(1057) s(1063) =< s(1057)-1 s(1060) =< s(1059) s(1056) =< aux(325)-2 s(1062) =< s(1056)+2 s(1063) =< s(1056)+1 s(1064) =< s(1061)*s(1060) s(1065) =< s(1061)*s(1062) s(1066) =< s(1061)*s(1063) s(1067) =< s(1066) s(1067) =< s(1064) s(1067) =< s(1065) s(1068) =< s(1032) s(1069) =< s(1032) s(1068) =< s(1033) s(1070) =< s(1033) s(1071) =< s(1034) s(1069) =< s(1034) s(1071) =< s(1035) s(1070) =< s(1035) s(1072) =< aux(325) s(1071) =< aux(325) s(1072) =< s(1069) s(1073) =< s(1070) s(1073) =< s(1069) s(1044) =< s(1069) s(1074) =< s(1072) s(1074) =< s(1073)+1 s(1075) =< s(1073)+1 s(1076) =< s(1044)*s(1074) s(1077) =< s(1044)*s(1072) s(1078) =< s(1044)*s(1072) s(1079) =< s(1044)*s(1075) s(1078) =< s(1044)*s(1075) s(1080) =< s(1044)*s(1073) s(1081) =< s(1044)*s(1073) s(1082) =< s(1044)*aux(325) s(1080) =< s(1044)*aux(325) s(1081) =< s(1082) s(1083) =< s(1076) s(1083) =< s(1077) s(1084) =< s(1077) s(1084) =< s(1079) s(1085) =< s(1082)+s(1072) s(1085) =< s(1076)+s(1071) s(1085) =< s(1081)+s(1072) s(1085) =< s(1080)+s(1072) s(1085) =< s(1078)+s(1071) s(1085) =< s(1083)+s(1072) s(1085) =< s(1084)+s(1072) s(1085) =< s(1083)+s(1071) s(1085) =< s(1084)+s(1071) s(1086) =< aux(325) s(1086) =< s(1068) s(1087) =< s(1086)*s(1060) s(1088) =< s(1086)*s(1062) s(1089) =< s(1086)*s(1063) s(1090) =< s(1089) s(1090) =< s(1087) s(1090) =< s(1088) s(1091) =< aux(325) s(1091) =< s(1057) s(1045) =< s(1057) s(1092) =< s(1091) s(1092) =< s(1057)+1 s(1093) =< s(1057)+1 s(1094) =< s(1045)*s(1092) s(1095) =< s(1045)*s(1091) s(1096) =< s(1045)*s(1091) s(1097) =< s(1045)*s(1093) s(1096) =< s(1045)*s(1093) s(1098) =< s(1045)*s(1057) s(1099) =< s(1045)*s(1057) s(1100) =< s(1045)*aux(325) s(1098) =< s(1045)*aux(325) s(1099) =< s(1100) s(1101) =< s(1094) s(1101) =< s(1095) s(1102) =< s(1095) s(1102) =< s(1097) s(1103) =< s(1100)+aux(325) s(1103) =< s(1094)+aux(326) s(1103) =< s(1099)+aux(325) s(1103) =< s(1098)+aux(325) s(1103) =< s(1096)+aux(326) s(1103) =< s(1101)+s(1057) s(1103) =< s(1102)+s(1057) s(1103) =< s(1101)+aux(326) s(1103) =< s(1102)+aux(326) s(1115) =< aux(325) s(1115) =< s(1057) with precondition: [A>=3] * Chain [46]: 2*s(1125)+1*s(1126)+1*s(1127)+1*s(1137)+15*s(1138)+1*s(1159)+3*s(1162)+1*s(1168)+4*s(1169)+1*s(1170)+4*s(1174)+1*s(1187)+15*s(1188)+1 Such that:s(1121) =< 1 s(1122) =< A s(1117) =< A+1 s(1118) =< A+2 s(1123) =< 2*A s(1119) =< 2*A+1 s(1120) =< 2*A+2 s(1124) =< 3*A s(1125) =< s(1121) s(1126) =< s(1121) s(1127) =< s(1121) s(1125) =< s(1122) s(1128) =< s(1122) s(1128) =< s(1122)+1 s(1129) =< s(1122)+1 s(1130) =< s(1125)*s(1128) s(1131) =< s(1125)*s(1122) s(1132) =< s(1125)*s(1122) s(1133) =< s(1125)*s(1129) s(1132) =< s(1125)*s(1129) s(1134) =< s(1125)*s(1122) s(1134) =< s(1131) s(1135) =< s(1130) s(1135) =< s(1131) s(1136) =< s(1131) s(1136) =< s(1133) s(1137) =< s(1131)+s(1122) s(1137) =< s(1130)+s(1122) s(1137) =< s(1134)+s(1122) s(1137) =< s(1132)+s(1122) s(1137) =< s(1135)+s(1122) s(1137) =< s(1136)+s(1122) s(1138) =< s(1122) s(1139) =< s(1117) s(1140) =< s(1117) s(1139) =< s(1118) s(1141) =< s(1118) s(1142) =< s(1123) s(1143) =< s(1123) s(1144) =< s(1123) s(1145) =< s(1119) s(1140) =< s(1119) s(1145) =< s(1120) s(1141) =< s(1120) s(1142) =< s(1124) s(1146) =< s(1122) s(1145) =< s(1122) s(1146) =< s(1140) s(1147) =< s(1141) s(1147) =< s(1140) s(1126) =< s(1140) s(1148) =< s(1146) s(1148) =< s(1147)+1 s(1149) =< s(1147)+1 s(1150) =< s(1126)*s(1148) s(1151) =< s(1126)*s(1146) s(1152) =< s(1126)*s(1146) s(1153) =< s(1126)*s(1149) s(1152) =< s(1126)*s(1149) s(1154) =< s(1126)*s(1147) s(1155) =< s(1126)*s(1147) s(1156) =< s(1126)*s(1122) s(1154) =< s(1126)*s(1122) s(1155) =< s(1156) s(1157) =< s(1150) s(1157) =< s(1151) s(1158) =< s(1151) s(1158) =< s(1153) s(1159) =< s(1156)+s(1146) s(1159) =< s(1150)+s(1145) s(1159) =< s(1155)+s(1146) s(1159) =< s(1154)+s(1146) s(1159) =< s(1152)+s(1145) s(1159) =< s(1157)+s(1146) s(1159) =< s(1158)+s(1146) s(1159) =< s(1157)+s(1145) s(1159) =< s(1158)+s(1145) s(1160) =< s(1122) s(1161) =< s(1122) s(1160) =< s(1124) s(1161) =< s(1124) s(1143) =< s(1122) s(1144) =< s(1122) s(1162) =< s(1122) s(1162) =< s(1139) s(1163) =< s(1144) s(1164) =< s(1144)-1 s(1161) =< s(1160) s(1143) =< s(1122)-2 s(1163) =< s(1143)+2 s(1164) =< s(1143)+1 s(1165) =< s(1162)*s(1161) s(1166) =< s(1162)*s(1163) s(1167) =< s(1162)*s(1164) s(1168) =< s(1167) s(1168) =< s(1165) s(1168) =< s(1166) s(1169) =< s(1142) s(1169) =< s(1122) s(1170) =< s(1131)+s(1122) s(1170) =< s(1130)+s(1122) s(1170) =< s(1134)+s(1122) s(1170) =< s(1132)+s(1122) s(1170) =< s(1135)+s(1144) s(1170) =< s(1136)+s(1144) s(1170) =< s(1135)+s(1122) s(1170) =< s(1136)+s(1122) s(1171) =< s(1138)*s(1161) s(1172) =< s(1138)*s(1163) s(1173) =< s(1138)*s(1164) s(1174) =< s(1173) s(1174) =< s(1171) s(1174) =< s(1172) s(1175) =< s(1122) s(1175) =< s(1144) s(1127) =< s(1144) s(1176) =< s(1175) s(1176) =< s(1144)+1 s(1177) =< s(1144)+1 s(1178) =< s(1127)*s(1176) s(1179) =< s(1127)*s(1175) s(1180) =< s(1127)*s(1175) s(1181) =< s(1127)*s(1177) s(1180) =< s(1127)*s(1177) s(1182) =< s(1127)*s(1144) s(1183) =< s(1127)*s(1144) s(1184) =< s(1127)*s(1122) s(1182) =< s(1127)*s(1122) s(1183) =< s(1184) s(1185) =< s(1178) s(1185) =< s(1179) s(1186) =< s(1179) s(1186) =< s(1181) s(1187) =< s(1184)+s(1122) s(1187) =< s(1178)+s(1123) s(1187) =< s(1183)+s(1122) s(1187) =< s(1182)+s(1122) s(1187) =< s(1180)+s(1123) s(1187) =< s(1185)+s(1144) s(1187) =< s(1186)+s(1144) s(1187) =< s(1185)+s(1123) s(1187) =< s(1186)+s(1123) with precondition: [A>=4] * Chain [45]: 1*s(1197)+1*s(1198)+1*s(1218)+3*s(1221)+1*s(1227)+1*s(1240)+3*s(1241)+1*s(1245)+6*s(1246)+1 Such that:s(1193) =< 1 s(1194) =< A s(1189) =< A+1 s(1190) =< A+2 s(1195) =< 2*A s(1191) =< 2*A+1 s(1192) =< 2*A+2 s(1196) =< 3*A s(1197) =< s(1193) s(1198) =< s(1193) s(1199) =< s(1189) s(1200) =< s(1189) s(1199) =< s(1190) s(1201) =< s(1190) s(1202) =< s(1195) s(1203) =< s(1195) s(1204) =< s(1191) s(1200) =< s(1191) s(1204) =< s(1192) s(1201) =< s(1192) s(1205) =< s(1194) s(1204) =< s(1194) s(1205) =< s(1200) s(1206) =< s(1201) s(1206) =< s(1200) s(1197) =< s(1200) s(1207) =< s(1205) s(1207) =< s(1206)+1 s(1208) =< s(1206)+1 s(1209) =< s(1197)*s(1207) s(1210) =< s(1197)*s(1205) s(1211) =< s(1197)*s(1205) s(1212) =< s(1197)*s(1208) s(1211) =< s(1197)*s(1208) s(1213) =< s(1197)*s(1206) s(1214) =< s(1197)*s(1206) s(1215) =< s(1197)*s(1194) s(1213) =< s(1197)*s(1194) s(1214) =< s(1215) s(1216) =< s(1209) s(1216) =< s(1210) s(1217) =< s(1210) s(1217) =< s(1212) s(1218) =< s(1215)+s(1205) s(1218) =< s(1209)+s(1204) s(1218) =< s(1214)+s(1205) s(1218) =< s(1213)+s(1205) s(1218) =< s(1211)+s(1204) s(1218) =< s(1216)+s(1205) s(1218) =< s(1217)+s(1205) s(1218) =< s(1216)+s(1204) s(1218) =< s(1217)+s(1204) s(1219) =< s(1194) s(1220) =< s(1194) s(1219) =< s(1196) s(1220) =< s(1196) s(1202) =< s(1194) s(1203) =< s(1194) s(1221) =< s(1194) s(1221) =< s(1199) s(1222) =< s(1203) s(1223) =< s(1203)-1 s(1220) =< s(1219) s(1202) =< s(1194)-2 s(1222) =< s(1202)+2 s(1223) =< s(1202)+1 s(1224) =< s(1221)*s(1220) s(1225) =< s(1221)*s(1222) s(1226) =< s(1221)*s(1223) s(1227) =< s(1226) s(1227) =< s(1224) s(1227) =< s(1225) s(1228) =< s(1194) s(1228) =< s(1203) s(1198) =< s(1203) s(1229) =< s(1228) s(1229) =< s(1203)+1 s(1230) =< s(1203)+1 s(1231) =< s(1198)*s(1229) s(1232) =< s(1198)*s(1228) s(1233) =< s(1198)*s(1228) s(1234) =< s(1198)*s(1230) s(1233) =< s(1198)*s(1230) s(1235) =< s(1198)*s(1203) s(1236) =< s(1198)*s(1203) s(1237) =< s(1198)*s(1194) s(1235) =< s(1198)*s(1194) s(1236) =< s(1237) s(1238) =< s(1231) s(1238) =< s(1232) s(1239) =< s(1232) s(1239) =< s(1234) s(1240) =< s(1237)+s(1194) s(1240) =< s(1231)+s(1195) s(1240) =< s(1236)+s(1194) s(1240) =< s(1235)+s(1194) s(1240) =< s(1233)+s(1195) s(1240) =< s(1238)+s(1203) s(1240) =< s(1239)+s(1203) s(1240) =< s(1238)+s(1195) s(1240) =< s(1239)+s(1195) s(1241) =< s(1194) s(1242) =< s(1241)*s(1220) s(1243) =< s(1241)*s(1222) s(1244) =< s(1241)*s(1223) s(1245) =< s(1244) s(1245) =< s(1242) s(1245) =< s(1243) with precondition: [2*A>=7] * Chain [44]...: 12*s(1254)+4*s(1260)+12*s(1261)+1 Such that:s(1247) =< A s(1248) =< 2*A s(1249) =< 3*A s(1250) =< s(1248) s(1251) =< s(1248) s(1252) =< s(1247) s(1253) =< s(1247) s(1252) =< s(1249) s(1253) =< s(1249) s(1250) =< s(1247) s(1251) =< s(1247) s(1254) =< s(1247) s(1255) =< s(1251) s(1256) =< s(1251)-1 s(1253) =< s(1252) s(1250) =< s(1247)-2 s(1255) =< s(1250)+2 s(1256) =< s(1250)+1 s(1257) =< s(1254)*s(1253) s(1258) =< s(1254)*s(1255) s(1259) =< s(1254)*s(1256) s(1260) =< s(1259) s(1260) =< s(1257) s(1260) =< s(1258) with precondition: [A>=3] * Chain [43]...: 6*s(1270)+2*s(1276)+2*s(1277)+6*s(1278)+1 Such that:s(1262) =< A s(1263) =< 2*A s(1264) =< 3*A s(1265) =< s(1263) s(1266) =< s(1263) s(1267) =< s(1263) s(1265) =< s(1264) s(1268) =< s(1262) s(1269) =< s(1262) s(1268) =< s(1264) s(1269) =< s(1264) s(1266) =< s(1262) s(1267) =< s(1262) s(1270) =< s(1262) s(1271) =< s(1267) s(1272) =< s(1267)-1 s(1269) =< s(1268) s(1266) =< s(1262)-2 s(1271) =< s(1266)+2 s(1272) =< s(1266)+1 s(1273) =< s(1270)*s(1269) s(1274) =< s(1270)*s(1271) s(1275) =< s(1270)*s(1272) s(1276) =< s(1275) s(1276) =< s(1273) s(1276) =< s(1274) s(1277) =< s(1265) s(1277) =< s(1262) with precondition: [A>=4] Closed-form bounds of start0(A,B,C,D,E,F,G,H,I,J,K,L,N): ------------------------------------- * Chain [50] with precondition: [A=2] - Upper bound: 0 - Complexity: constant * Chain [49] with precondition: [1>=A] - Upper bound: 0 - Complexity: constant * Chain [48] with precondition: [A>=2] - Upper bound: 0 - Complexity: constant * Chain [47] with precondition: [A>=3] - Upper bound: inf - Complexity: infinity * Chain [46] with precondition: [A>=4] - Upper bound: inf - Complexity: infinity * Chain [45] with precondition: [2*A>=7] - Upper bound: inf - Complexity: infinity * Chain [44]... with precondition: [A>=3] - Upper bound: inf - Complexity: infinity * Chain [43]... with precondition: [A>=4] - Upper bound: inf - Complexity: infinity ### Maximum cost of start0(A,B,C,D,E,F,G,H,I,J,K,L,N): inf Asymptotic class: infinity * Total analysis performed in 6843 ms.