MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance syn15m04m

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
4937.47771000 p1 ( gdx sol )
(infeas: 4e-14)
Other points (infeas > 1e-08)  
Dual Bounds
4937.47930000 (ALPHAECP)
4937.47802300 (ANTIGONE)
4937.47771800 (BARON)
4937.47780000 (COUENNE)
4937.47772300 (LINDO)
4937.47779000 (SCIP)
4937.47822800 (SHOT)
References Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339.
Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978.
Source Syn15M04M.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 340
#Binary Variables 120
#Integer Variables 0
#Nonlinear Variables 44
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 104
#Nonlinear Nonzeros in Objective 0
#Constraints 806
#Linear Constraints 762
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 44
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 1882
#Nonlinear Nonzeros in Jacobian 44
#Nonzeros in (Upper-Left) Hessian of Lagrangian 44
#Nonzeros in Diagonal of Hessian of Lagrangian 44
#Blocks in Hessian of Lagrangian 44
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 5.0000e-01
Maximal coefficient 6.0000e+02
Infeasibility of initial point 1
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        807       45      168      594        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        341      221      120        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1987     1943       44        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161;

Binary Variables  b162,b163,b164,b165,b166,b167,b168,b169,b170,b171,b172,b173
          ,b174,b175,b176,b177,b178,b179,b180,b181,b182,b183,b184,b185,b186
          ,b187,b188,b189,b190,b191,b192,b193,b194,b195,b196,b197,b198,b199
          ,b200,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211,b212
          ,b213,b214,b215,b216,b217,b218,b219,b220,b221,b222,b223,b224,b225
          ,b226,b227,b228,b229,b230,b231,b232,b233,b234,b235,b236,b237,b238
          ,b239,b240,b241,b242,b243,b244,b245,b246,b247,b248,b249,b250,b251
          ,b252,b253,b254,b255,b256,b257,b258,b259,b260,b261,b262,b263,b264
          ,b265,b266,b267,b268,b269,b270,b271,b272,b273,b274,b275,b276,b277
          ,b278,b279,b280,b281;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
          ,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
          ,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
          ,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
          ,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
          ,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
          ,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
          ,e806,e807;


e1..    objvar + x2 + x3 + x4 + x5 - 5*x26 - 10*x27 - 5*x28 - 10*x29 + 2*x46
      + x47 + 2*x48 + x49 - 500*x98 - 600*x99 - 350*x100 - 400*x101 - 350*x102
      - 400*x103 - 450*x104 - 400*x105 + 10*x114 + 5*x115 + 5*x116 + 10*x117
      + 5*x118 + 5*x119 + 5*x120 + 10*x121 - 180*x146 - 130*x147 - 215*x148
      - 210*x149 - 110*x150 - 120*x151 - 125*x152 - 130*x153 - 110*x154
      - 130*x155 - 140*x156 - 140*x157 - 280*x158 - 290*x159 - 220*x160
      - 200*x161 + 5*b222 + 4*b223 + 6*b224 + 3*b225 + 8*b226 + 7*b227 + 6*b228
      + 5*b229 + 6*b230 + 9*b231 + 4*b232 + 3*b233 + 10*b234 + 9*b235 + 5*b236
      + 6*b237 + 6*b238 + 10*b239 + 6*b240 + 9*b241 + 7*b242 + 7*b243 + 4*b244
      + 2*b245 + 4*b246 + 3*b247 + 2*b248 + 8*b249 + 5*b250 + 6*b251 + 7*b252
      + 4*b253 + 2*b254 + 5*b255 + 2*b256 + 6*b257 + 4*b258 + 7*b259 + 4*b260
      + 7*b261 + 3*b262 + 9*b263 + 3*b264 + 6*b265 + 7*b266 + 2*b267 + 9*b268
      + 6*b269 + 3*b270 + b271 + 9*b272 + 10*b273 + 2*b274 + 6*b275 + 3*b276
      + 7*b277 + 4*b278 + 8*b279 + b280 + 4*b281 =E= 0;

e2..    x2 - x6 - x10 =E= 0;

e3..    x3 - x7 - x11 =E= 0;

e4..    x4 - x8 - x12 =E= 0;

e5..    x5 - x9 - x13 =E= 0;

e6..  - x14 - x18 + x22 =E= 0;

e7..  - x15 - x19 + x23 =E= 0;

e8..  - x16 - x20 + x24 =E= 0;

e9..  - x17 - x21 + x25 =E= 0;

e10..    x22 - x26 - x30 =E= 0;

e11..    x23 - x27 - x31 =E= 0;

e12..    x24 - x28 - x32 =E= 0;

e13..    x25 - x29 - x33 =E= 0;

e14..    x30 - x34 - x38 - x42 =E= 0;

e15..    x31 - x35 - x39 - x43 =E= 0;

e16..    x32 - x36 - x40 - x44 =E= 0;

e17..    x33 - x37 - x41 - x45 =E= 0;

e18..    x50 - x62 - x66 =E= 0;

e19..    x51 - x63 - x67 =E= 0;

e20..    x52 - x64 - x68 =E= 0;

e21..    x53 - x65 - x69 =E= 0;

e22..    x58 - x70 - x74 - x78 =E= 0;

e23..    x59 - x71 - x75 - x79 =E= 0;

e24..    x60 - x72 - x76 - x80 =E= 0;

e25..    x61 - x73 - x77 - x81 =E= 0;

e26..    x90 - x106 - x110 =E= 0;

e27..    x91 - x107 - x111 =E= 0;

e28..    x92 - x108 - x112 =E= 0;

e29..    x93 - x109 - x113 =E= 0;

e30..  - x94 - x118 + x122 =E= 0;

e31..  - x95 - x119 + x123 =E= 0;

e32..  - x96 - x120 + x124 =E= 0;

e33..  - x97 - x121 + x125 =E= 0;

e34..    x98 - x126 - x130 =E= 0;

e35..    x99 - x127 - x131 =E= 0;

e36..    x100 - x128 - x132 =E= 0;

e37..    x101 - x129 - x133 =E= 0;

e38..    x102 - x134 - x138 - x142 =E= 0;

e39..    x103 - x135 - x139 - x143 =E= 0;

e40..    x104 - x136 - x140 - x144 =E= 0;

e41..    x105 - x137 - x141 - x145 =E= 0;

e42.. -log(1 + x6) + x14 + b162 =L= 1;

e43.. -log(1 + x7) + x15 + b163 =L= 1;

e44.. -log(1 + x8) + x16 + b164 =L= 1;

e45.. -log(1 + x9) + x17 + b165 =L= 1;

e46..    x6 - 40*b162 =L= 0;

e47..    x7 - 40*b163 =L= 0;

e48..    x8 - 40*b164 =L= 0;

e49..    x9 - 40*b165 =L= 0;

e50..    x14 - 3.71357206670431*b162 =L= 0;

e51..    x15 - 3.71357206670431*b163 =L= 0;

e52..    x16 - 3.71357206670431*b164 =L= 0;

e53..    x17 - 3.71357206670431*b165 =L= 0;

e54.. -1.2*log(1 + x10) + x18 + b166 =L= 1;

e55.. -1.2*log(1 + x11) + x19 + b167 =L= 1;

e56.. -1.2*log(1 + x12) + x20 + b168 =L= 1;

e57.. -1.2*log(1 + x13) + x21 + b169 =L= 1;

e58..    x10 - 40*b166 =L= 0;

e59..    x11 - 40*b167 =L= 0;

e60..    x12 - 40*b168 =L= 0;

e61..    x13 - 40*b169 =L= 0;

e62..    x18 - 4.45628648004517*b166 =L= 0;

e63..    x19 - 4.45628648004517*b167 =L= 0;

e64..    x20 - 4.45628648004517*b168 =L= 0;

e65..    x21 - 4.45628648004517*b169 =L= 0;

e66..  - 0.75*x34 + x50 + b170 =L= 1;

e67..  - 0.75*x35 + x51 + b171 =L= 1;

e68..  - 0.75*x36 + x52 + b172 =L= 1;

e69..  - 0.75*x37 + x53 + b173 =L= 1;

e70..  - 0.75*x34 + x50 - b170 =G= -1;

e71..  - 0.75*x35 + x51 - b171 =G= -1;

e72..  - 0.75*x36 + x52 - b172 =G= -1;

e73..  - 0.75*x37 + x53 - b173 =G= -1;

e74..    x34 - 4.45628648004517*b170 =L= 0;

e75..    x35 - 4.45628648004517*b171 =L= 0;

e76..    x36 - 4.45628648004517*b172 =L= 0;

e77..    x37 - 4.45628648004517*b173 =L= 0;

e78..    x50 - 3.34221486003388*b170 =L= 0;

e79..    x51 - 3.34221486003388*b171 =L= 0;

e80..    x52 - 3.34221486003388*b172 =L= 0;

e81..    x53 - 3.34221486003388*b173 =L= 0;

e82.. -1.5*log(1 + x38) + x54 + b174 =L= 1;

e83.. -1.5*log(1 + x39) + x55 + b175 =L= 1;

e84.. -1.5*log(1 + x40) + x56 + b176 =L= 1;

e85.. -1.5*log(1 + x41) + x57 + b177 =L= 1;

e86..    x38 - 4.45628648004517*b174 =L= 0;

e87..    x39 - 4.45628648004517*b175 =L= 0;

e88..    x40 - 4.45628648004517*b176 =L= 0;

e89..    x41 - 4.45628648004517*b177 =L= 0;

e90..    x54 - 2.54515263975353*b174 =L= 0;

e91..    x55 - 2.54515263975353*b175 =L= 0;

e92..    x56 - 2.54515263975353*b176 =L= 0;

e93..    x57 - 2.54515263975353*b177 =L= 0;

e94..  - x42 + x58 + b178 =L= 1;

e95..  - x43 + x59 + b179 =L= 1;

e96..  - x44 + x60 + b180 =L= 1;

e97..  - x45 + x61 + b181 =L= 1;

e98..  - x42 + x58 - b178 =G= -1;

e99..  - x43 + x59 - b179 =G= -1;

e100..  - x44 + x60 - b180 =G= -1;

e101..  - x45 + x61 - b181 =G= -1;

e102..  - 0.5*x46 + x58 + b178 =L= 1;

e103..  - 0.5*x47 + x59 + b179 =L= 1;

e104..  - 0.5*x48 + x60 + b180 =L= 1;

e105..  - 0.5*x49 + x61 + b181 =L= 1;

e106..  - 0.5*x46 + x58 - b178 =G= -1;

e107..  - 0.5*x47 + x59 - b179 =G= -1;

e108..  - 0.5*x48 + x60 - b180 =G= -1;

e109..  - 0.5*x49 + x61 - b181 =G= -1;

e110..    x42 - 4.45628648004517*b178 =L= 0;

e111..    x43 - 4.45628648004517*b179 =L= 0;

e112..    x44 - 4.45628648004517*b180 =L= 0;

e113..    x45 - 4.45628648004517*b181 =L= 0;

e114..    x46 - 30*b178 =L= 0;

e115..    x47 - 30*b179 =L= 0;

e116..    x48 - 30*b180 =L= 0;

e117..    x49 - 30*b181 =L= 0;

e118..    x58 - 15*b178 =L= 0;

e119..    x59 - 15*b179 =L= 0;

e120..    x60 - 15*b180 =L= 0;

e121..    x61 - 15*b181 =L= 0;

e122.. -1.25*log(1 + x62) + x82 + b182 =L= 1;

e123.. -1.25*log(1 + x63) + x83 + b183 =L= 1;

e124.. -1.25*log(1 + x64) + x84 + b184 =L= 1;

e125.. -1.25*log(1 + x65) + x85 + b185 =L= 1;

e126..    x62 - 3.34221486003388*b182 =L= 0;

e127..    x63 - 3.34221486003388*b183 =L= 0;

e128..    x64 - 3.34221486003388*b184 =L= 0;

e129..    x65 - 3.34221486003388*b185 =L= 0;

e130..    x82 - 1.83548069293539*b182 =L= 0;

e131..    x83 - 1.83548069293539*b183 =L= 0;

e132..    x84 - 1.83548069293539*b184 =L= 0;

e133..    x85 - 1.83548069293539*b185 =L= 0;

e134.. -0.9*log(1 + x66) + x86 + b186 =L= 1;

e135.. -0.9*log(1 + x67) + x87 + b187 =L= 1;

e136.. -0.9*log(1 + x68) + x88 + b188 =L= 1;

e137.. -0.9*log(1 + x69) + x89 + b189 =L= 1;

e138..    x66 - 3.34221486003388*b186 =L= 0;

e139..    x67 - 3.34221486003388*b187 =L= 0;

e140..    x68 - 3.34221486003388*b188 =L= 0;

e141..    x69 - 3.34221486003388*b189 =L= 0;

e142..    x86 - 1.32154609891348*b186 =L= 0;

e143..    x87 - 1.32154609891348*b187 =L= 0;

e144..    x88 - 1.32154609891348*b188 =L= 0;

e145..    x89 - 1.32154609891348*b189 =L= 0;

e146.. -log(1 + x54) + x90 + b190 =L= 1;

e147.. -log(1 + x55) + x91 + b191 =L= 1;

e148.. -log(1 + x56) + x92 + b192 =L= 1;

e149.. -log(1 + x57) + x93 + b193 =L= 1;

e150..    x54 - 2.54515263975353*b190 =L= 0;

e151..    x55 - 2.54515263975353*b191 =L= 0;

e152..    x56 - 2.54515263975353*b192 =L= 0;

e153..    x57 - 2.54515263975353*b193 =L= 0;

e154..    x90 - 1.26558121681553*b190 =L= 0;

e155..    x91 - 1.26558121681553*b191 =L= 0;

e156..    x92 - 1.26558121681553*b192 =L= 0;

e157..    x93 - 1.26558121681553*b193 =L= 0;

e158..  - 0.9*x70 + x94 + b194 =L= 1;

e159..  - 0.9*x71 + x95 + b195 =L= 1;

e160..  - 0.9*x72 + x96 + b196 =L= 1;

e161..  - 0.9*x73 + x97 + b197 =L= 1;

e162..  - 0.9*x70 + x94 - b194 =G= -1;

e163..  - 0.9*x71 + x95 - b195 =G= -1;

e164..  - 0.9*x72 + x96 - b196 =G= -1;

e165..  - 0.9*x73 + x97 - b197 =G= -1;

e166..    x70 - 15*b194 =L= 0;

e167..    x71 - 15*b195 =L= 0;

e168..    x72 - 15*b196 =L= 0;

e169..    x73 - 15*b197 =L= 0;

e170..    x94 - 13.5*b194 =L= 0;

e171..    x95 - 13.5*b195 =L= 0;

e172..    x96 - 13.5*b196 =L= 0;

e173..    x97 - 13.5*b197 =L= 0;

e174..  - 0.6*x74 + x98 + b198 =L= 1;

e175..  - 0.6*x75 + x99 + b199 =L= 1;

e176..  - 0.6*x76 + x100 + b200 =L= 1;

e177..  - 0.6*x77 + x101 + b201 =L= 1;

e178..  - 0.6*x74 + x98 - b198 =G= -1;

e179..  - 0.6*x75 + x99 - b199 =G= -1;

e180..  - 0.6*x76 + x100 - b200 =G= -1;

e181..  - 0.6*x77 + x101 - b201 =G= -1;

e182..    x74 - 15*b198 =L= 0;

e183..    x75 - 15*b199 =L= 0;

e184..    x76 - 15*b200 =L= 0;

e185..    x77 - 15*b201 =L= 0;

e186..    x98 - 9*b198 =L= 0;

e187..    x99 - 9*b199 =L= 0;

e188..    x100 - 9*b200 =L= 0;

e189..    x101 - 9*b201 =L= 0;

e190.. -1.1*log(1 + x78) + x102 + b202 =L= 1;

e191.. -1.1*log(1 + x79) + x103 + b203 =L= 1;

e192.. -1.1*log(1 + x80) + x104 + b204 =L= 1;

e193.. -1.1*log(1 + x81) + x105 + b205 =L= 1;

e194..    x78 - 15*b202 =L= 0;

e195..    x79 - 15*b203 =L= 0;

e196..    x80 - 15*b204 =L= 0;

e197..    x81 - 15*b205 =L= 0;

e198..    x102 - 3.04984759446376*b202 =L= 0;

e199..    x103 - 3.04984759446376*b203 =L= 0;

e200..    x104 - 3.04984759446376*b204 =L= 0;

e201..    x105 - 3.04984759446376*b205 =L= 0;

e202..  - 0.9*x82 + x146 + b206 =L= 1;

e203..  - 0.9*x83 + x147 + b207 =L= 1;

e204..  - 0.9*x84 + x148 + b208 =L= 1;

e205..  - 0.9*x85 + x149 + b209 =L= 1;

e206..  - 0.9*x82 + x146 - b206 =G= -1;

e207..  - 0.9*x83 + x147 - b207 =G= -1;

e208..  - 0.9*x84 + x148 - b208 =G= -1;

e209..  - 0.9*x85 + x149 - b209 =G= -1;

e210..  - x114 + x146 + b206 =L= 1;

e211..  - x115 + x147 + b207 =L= 1;

e212..  - x116 + x148 + b208 =L= 1;

e213..  - x117 + x149 + b209 =L= 1;

e214..  - x114 + x146 - b206 =G= -1;

e215..  - x115 + x147 - b207 =G= -1;

e216..  - x116 + x148 - b208 =G= -1;

e217..  - x117 + x149 - b209 =G= -1;

e218..    x82 - 1.83548069293539*b206 =L= 0;

e219..    x83 - 1.83548069293539*b207 =L= 0;

e220..    x84 - 1.83548069293539*b208 =L= 0;

e221..    x85 - 1.83548069293539*b209 =L= 0;

e222..    x114 - 20*b206 =L= 0;

e223..    x115 - 20*b207 =L= 0;

e224..    x116 - 20*b208 =L= 0;

e225..    x117 - 20*b209 =L= 0;

e226..    x146 - 20*b206 =L= 0;

e227..    x147 - 20*b207 =L= 0;

e228..    x148 - 20*b208 =L= 0;

e229..    x149 - 20*b209 =L= 0;

e230.. -log(1 + x86) + x150 + b210 =L= 1;

e231.. -log(1 + x87) + x151 + b211 =L= 1;

e232.. -log(1 + x88) + x152 + b212 =L= 1;

e233.. -log(1 + x89) + x153 + b213 =L= 1;

e234..    x86 - 1.32154609891348*b210 =L= 0;

e235..    x87 - 1.32154609891348*b211 =L= 0;

e236..    x88 - 1.32154609891348*b212 =L= 0;

e237..    x89 - 1.32154609891348*b213 =L= 0;

e238..    x150 - 0.842233385663186*b210 =L= 0;

e239..    x151 - 0.842233385663186*b211 =L= 0;

e240..    x152 - 0.842233385663186*b212 =L= 0;

e241..    x153 - 0.842233385663186*b213 =L= 0;

e242.. -0.7*log(1 + x106) + x154 + b214 =L= 1;

e243.. -0.7*log(1 + x107) + x155 + b215 =L= 1;

e244.. -0.7*log(1 + x108) + x156 + b216 =L= 1;

e245.. -0.7*log(1 + x109) + x157 + b217 =L= 1;

e246..    x106 - 1.26558121681553*b214 =L= 0;

e247..    x107 - 1.26558121681553*b215 =L= 0;

e248..    x108 - 1.26558121681553*b216 =L= 0;

e249..    x109 - 1.26558121681553*b217 =L= 0;

e250..    x154 - 0.572481933717686*b214 =L= 0;

e251..    x155 - 0.572481933717686*b215 =L= 0;

e252..    x156 - 0.572481933717686*b216 =L= 0;

e253..    x157 - 0.572481933717686*b217 =L= 0;

e254.. -0.65*log(1 + x110) + x158 + b218 =L= 1;

e255.. -0.65*log(1 + x111) + x159 + b219 =L= 1;

e256.. -0.65*log(1 + x112) + x160 + b220 =L= 1;

e257.. -0.65*log(1 + x113) + x161 + b221 =L= 1;

e258.. -0.65*log(1 + x122) + x158 + b218 =L= 1;

e259.. -0.65*log(1 + x123) + x159 + b219 =L= 1;

e260.. -0.65*log(1 + x124) + x160 + b220 =L= 1;

e261.. -0.65*log(1 + x125) + x161 + b221 =L= 1;

e262..    x110 - 1.26558121681553*b218 =L= 0;

e263..    x111 - 1.26558121681553*b219 =L= 0;

e264..    x112 - 1.26558121681553*b220 =L= 0;

e265..    x113 - 1.26558121681553*b221 =L= 0;

e266..    x122 - 33.5*b218 =L= 0;

e267..    x123 - 33.5*b219 =L= 0;

e268..    x124 - 33.5*b220 =L= 0;

e269..    x125 - 33.5*b221 =L= 0;

e270..    x158 - 2.30162356062425*b218 =L= 0;

e271..    x159 - 2.30162356062425*b219 =L= 0;

e272..    x160 - 2.30162356062425*b220 =L= 0;

e273..    x161 - 2.30162356062425*b221 =L= 0;

e274..    5*b222 + x282 =L= 0;

e275..    4*b223 + x283 =L= 0;

e276..    6*b224 + x284 =L= 0;

e277..    3*b225 + x285 =L= 0;

e278..    8*b226 + x286 =L= 0;

e279..    7*b227 + x287 =L= 0;

e280..    6*b228 + x288 =L= 0;

e281..    5*b229 + x289 =L= 0;

e282..    6*b230 + x290 =L= 0;

e283..    9*b231 + x291 =L= 0;

e284..    4*b232 + x292 =L= 0;

e285..    3*b233 + x293 =L= 0;

e286..    10*b234 + x294 =L= 0;

e287..    9*b235 + x295 =L= 0;

e288..    5*b236 + x296 =L= 0;

e289..    6*b237 + x297 =L= 0;

e290..    6*b238 + x298 =L= 0;

e291..    10*b239 + x299 =L= 0;

e292..    6*b240 + x300 =L= 0;

e293..    9*b241 + x301 =L= 0;

e294..    7*b242 + x302 =L= 0;

e295..    7*b243 + x303 =L= 0;

e296..    4*b244 + x304 =L= 0;

e297..    2*b245 + x305 =L= 0;

e298..    4*b246 + x306 =L= 0;

e299..    3*b247 + x307 =L= 0;

e300..    2*b248 + x308 =L= 0;

e301..    8*b249 + x309 =L= 0;

e302..    5*b250 + x310 =L= 0;

e303..    6*b251 + x311 =L= 0;

e304..    7*b252 + x312 =L= 0;

e305..    4*b253 + x313 =L= 0;

e306..    2*b254 + x314 =L= 0;

e307..    5*b255 + x315 =L= 0;

e308..    2*b256 + x316 =L= 0;

e309..    6*b257 + x317 =L= 0;

e310..    4*b258 + x318 =L= 0;

e311..    7*b259 + x319 =L= 0;

e312..    4*b260 + x320 =L= 0;

e313..    7*b261 + x321 =L= 0;

e314..    3*b262 + x322 =L= 0;

e315..    9*b263 + x323 =L= 0;

e316..    3*b264 + x324 =L= 0;

e317..    6*b265 + x325 =L= 0;

e318..    7*b266 + x326 =L= 0;

e319..    2*b267 + x327 =L= 0;

e320..    9*b268 + x328 =L= 0;

e321..    6*b269 + x329 =L= 0;

e322..    3*b270 + x330 =L= 0;

e323..    b271 + x331 =L= 0;

e324..    9*b272 + x332 =L= 0;

e325..    10*b273 + x333 =L= 0;

e326..    2*b274 + x334 =L= 0;

e327..    6*b275 + x335 =L= 0;

e328..    3*b276 + x336 =L= 0;

e329..    7*b277 + x337 =L= 0;

e330..    4*b278 + x338 =L= 0;

e331..    8*b279 + x339 =L= 0;

e332..    b280 + x340 =L= 0;

e333..    4*b281 + x341 =L= 0;

e334..    5*b222 + x282 =G= 0;

e335..    4*b223 + x283 =G= 0;

e336..    6*b224 + x284 =G= 0;

e337..    3*b225 + x285 =G= 0;

e338..    8*b226 + x286 =G= 0;

e339..    7*b227 + x287 =G= 0;

e340..    6*b228 + x288 =G= 0;

e341..    5*b229 + x289 =G= 0;

e342..    6*b230 + x290 =G= 0;

e343..    9*b231 + x291 =G= 0;

e344..    4*b232 + x292 =G= 0;

e345..    3*b233 + x293 =G= 0;

e346..    10*b234 + x294 =G= 0;

e347..    9*b235 + x295 =G= 0;

e348..    5*b236 + x296 =G= 0;

e349..    6*b237 + x297 =G= 0;

e350..    6*b238 + x298 =G= 0;

e351..    10*b239 + x299 =G= 0;

e352..    6*b240 + x300 =G= 0;

e353..    9*b241 + x301 =G= 0;

e354..    7*b242 + x302 =G= 0;

e355..    7*b243 + x303 =G= 0;

e356..    4*b244 + x304 =G= 0;

e357..    2*b245 + x305 =G= 0;

e358..    4*b246 + x306 =G= 0;

e359..    3*b247 + x307 =G= 0;

e360..    2*b248 + x308 =G= 0;

e361..    8*b249 + x309 =G= 0;

e362..    5*b250 + x310 =G= 0;

e363..    6*b251 + x311 =G= 0;

e364..    7*b252 + x312 =G= 0;

e365..    4*b253 + x313 =G= 0;

e366..    2*b254 + x314 =G= 0;

e367..    5*b255 + x315 =G= 0;

e368..    2*b256 + x316 =G= 0;

e369..    6*b257 + x317 =G= 0;

e370..    4*b258 + x318 =G= 0;

e371..    7*b259 + x319 =G= 0;

e372..    4*b260 + x320 =G= 0;

e373..    7*b261 + x321 =G= 0;

e374..    3*b262 + x322 =G= 0;

e375..    9*b263 + x323 =G= 0;

e376..    3*b264 + x324 =G= 0;

e377..    6*b265 + x325 =G= 0;

e378..    7*b266 + x326 =G= 0;

e379..    2*b267 + x327 =G= 0;

e380..    9*b268 + x328 =G= 0;

e381..    6*b269 + x329 =G= 0;

e382..    3*b270 + x330 =G= 0;

e383..    b271 + x331 =G= 0;

e384..    9*b272 + x332 =G= 0;

e385..    10*b273 + x333 =G= 0;

e386..    2*b274 + x334 =G= 0;

e387..    6*b275 + x335 =G= 0;

e388..    3*b276 + x336 =G= 0;

e389..    7*b277 + x337 =G= 0;

e390..    4*b278 + x338 =G= 0;

e391..    8*b279 + x339 =G= 0;

e392..    b280 + x340 =G= 0;

e393..    4*b281 + x341 =G= 0;

e394..    b162 - b163 =L= 0;

e395..    b162 - b164 =L= 0;

e396..    b162 - b165 =L= 0;

e397..    b163 - b164 =L= 0;

e398..    b163 - b165 =L= 0;

e399..    b164 - b165 =L= 0;

e400..    b166 - b167 =L= 0;

e401..    b166 - b168 =L= 0;

e402..    b166 - b169 =L= 0;

e403..    b167 - b168 =L= 0;

e404..    b167 - b169 =L= 0;

e405..    b168 - b169 =L= 0;

e406..    b170 - b171 =L= 0;

e407..    b170 - b172 =L= 0;

e408..    b170 - b173 =L= 0;

e409..    b171 - b172 =L= 0;

e410..    b171 - b173 =L= 0;

e411..    b172 - b173 =L= 0;

e412..    b174 - b175 =L= 0;

e413..    b174 - b176 =L= 0;

e414..    b174 - b177 =L= 0;

e415..    b175 - b176 =L= 0;

e416..    b175 - b177 =L= 0;

e417..    b176 - b177 =L= 0;

e418..    b178 - b179 =L= 0;

e419..    b178 - b180 =L= 0;

e420..    b178 - b181 =L= 0;

e421..    b179 - b180 =L= 0;

e422..    b179 - b181 =L= 0;

e423..    b180 - b181 =L= 0;

e424..    b182 - b183 =L= 0;

e425..    b182 - b184 =L= 0;

e426..    b182 - b185 =L= 0;

e427..    b183 - b184 =L= 0;

e428..    b183 - b185 =L= 0;

e429..    b184 - b185 =L= 0;

e430..    b186 - b187 =L= 0;

e431..    b186 - b188 =L= 0;

e432..    b186 - b189 =L= 0;

e433..    b187 - b188 =L= 0;

e434..    b187 - b189 =L= 0;

e435..    b188 - b189 =L= 0;

e436..    b190 - b191 =L= 0;

e437..    b190 - b192 =L= 0;

e438..    b190 - b193 =L= 0;

e439..    b191 - b192 =L= 0;

e440..    b191 - b193 =L= 0;

e441..    b192 - b193 =L= 0;

e442..    b194 - b195 =L= 0;

e443..    b194 - b196 =L= 0;

e444..    b194 - b197 =L= 0;

e445..    b195 - b196 =L= 0;

e446..    b195 - b197 =L= 0;

e447..    b196 - b197 =L= 0;

e448..    b198 - b199 =L= 0;

e449..    b198 - b200 =L= 0;

e450..    b198 - b201 =L= 0;

e451..    b199 - b200 =L= 0;

e452..    b199 - b201 =L= 0;

e453..    b200 - b201 =L= 0;

e454..    b202 - b203 =L= 0;

e455..    b202 - b204 =L= 0;

e456..    b202 - b205 =L= 0;

e457..    b203 - b204 =L= 0;

e458..    b203 - b205 =L= 0;

e459..    b204 - b205 =L= 0;

e460..    b206 - b207 =L= 0;

e461..    b206 - b208 =L= 0;

e462..    b206 - b209 =L= 0;

e463..    b207 - b208 =L= 0;

e464..    b207 - b209 =L= 0;

e465..    b208 - b209 =L= 0;

e466..    b210 - b211 =L= 0;

e467..    b210 - b212 =L= 0;

e468..    b210 - b213 =L= 0;

e469..    b211 - b212 =L= 0;

e470..    b211 - b213 =L= 0;

e471..    b212 - b213 =L= 0;

e472..    b214 - b215 =L= 0;

e473..    b214 - b216 =L= 0;

e474..    b214 - b217 =L= 0;

e475..    b215 - b216 =L= 0;

e476..    b215 - b217 =L= 0;

e477..    b216 - b217 =L= 0;

e478..    b218 - b219 =L= 0;

e479..    b218 - b220 =L= 0;

e480..    b218 - b221 =L= 0;

e481..    b219 - b220 =L= 0;

e482..    b219 - b221 =L= 0;

e483..    b220 - b221 =L= 0;

e484..    b222 + b223 =L= 1;

e485..    b222 + b224 =L= 1;

e486..    b222 + b225 =L= 1;

e487..    b222 + b223 =L= 1;

e488..    b223 + b224 =L= 1;

e489..    b223 + b225 =L= 1;

e490..    b222 + b224 =L= 1;

e491..    b223 + b224 =L= 1;

e492..    b224 + b225 =L= 1;

e493..    b222 + b225 =L= 1;

e494..    b223 + b225 =L= 1;

e495..    b224 + b225 =L= 1;

e496..    b226 + b227 =L= 1;

e497..    b226 + b228 =L= 1;

e498..    b226 + b229 =L= 1;

e499..    b226 + b227 =L= 1;

e500..    b227 + b228 =L= 1;

e501..    b227 + b229 =L= 1;

e502..    b226 + b228 =L= 1;

e503..    b227 + b228 =L= 1;

e504..    b228 + b229 =L= 1;

e505..    b226 + b229 =L= 1;

e506..    b227 + b229 =L= 1;

e507..    b228 + b229 =L= 1;

e508..    b230 + b231 =L= 1;

e509..    b230 + b232 =L= 1;

e510..    b230 + b233 =L= 1;

e511..    b230 + b231 =L= 1;

e512..    b231 + b232 =L= 1;

e513..    b231 + b233 =L= 1;

e514..    b230 + b232 =L= 1;

e515..    b231 + b232 =L= 1;

e516..    b232 + b233 =L= 1;

e517..    b230 + b233 =L= 1;

e518..    b231 + b233 =L= 1;

e519..    b232 + b233 =L= 1;

e520..    b234 + b235 =L= 1;

e521..    b234 + b236 =L= 1;

e522..    b234 + b237 =L= 1;

e523..    b234 + b235 =L= 1;

e524..    b235 + b236 =L= 1;

e525..    b235 + b237 =L= 1;

e526..    b234 + b236 =L= 1;

e527..    b235 + b236 =L= 1;

e528..    b236 + b237 =L= 1;

e529..    b234 + b237 =L= 1;

e530..    b235 + b237 =L= 1;

e531..    b236 + b237 =L= 1;

e532..    b238 + b239 =L= 1;

e533..    b238 + b240 =L= 1;

e534..    b238 + b241 =L= 1;

e535..    b238 + b239 =L= 1;

e536..    b239 + b240 =L= 1;

e537..    b239 + b241 =L= 1;

e538..    b238 + b240 =L= 1;

e539..    b239 + b240 =L= 1;

e540..    b240 + b241 =L= 1;

e541..    b238 + b241 =L= 1;

e542..    b239 + b241 =L= 1;

e543..    b240 + b241 =L= 1;

e544..    b242 + b243 =L= 1;

e545..    b242 + b244 =L= 1;

e546..    b242 + b245 =L= 1;

e547..    b242 + b243 =L= 1;

e548..    b243 + b244 =L= 1;

e549..    b243 + b245 =L= 1;

e550..    b242 + b244 =L= 1;

e551..    b243 + b244 =L= 1;

e552..    b244 + b245 =L= 1;

e553..    b242 + b245 =L= 1;

e554..    b243 + b245 =L= 1;

e555..    b244 + b245 =L= 1;

e556..    b246 + b247 =L= 1;

e557..    b246 + b248 =L= 1;

e558..    b246 + b249 =L= 1;

e559..    b246 + b247 =L= 1;

e560..    b247 + b248 =L= 1;

e561..    b247 + b249 =L= 1;

e562..    b246 + b248 =L= 1;

e563..    b247 + b248 =L= 1;

e564..    b248 + b249 =L= 1;

e565..    b246 + b249 =L= 1;

e566..    b247 + b249 =L= 1;

e567..    b248 + b249 =L= 1;

e568..    b250 + b251 =L= 1;

e569..    b250 + b252 =L= 1;

e570..    b250 + b253 =L= 1;

e571..    b250 + b251 =L= 1;

e572..    b251 + b252 =L= 1;

e573..    b251 + b253 =L= 1;

e574..    b250 + b252 =L= 1;

e575..    b251 + b252 =L= 1;

e576..    b252 + b253 =L= 1;

e577..    b250 + b253 =L= 1;

e578..    b251 + b253 =L= 1;

e579..    b252 + b253 =L= 1;

e580..    b254 + b255 =L= 1;

e581..    b254 + b256 =L= 1;

e582..    b254 + b257 =L= 1;

e583..    b254 + b255 =L= 1;

e584..    b255 + b256 =L= 1;

e585..    b255 + b257 =L= 1;

e586..    b254 + b256 =L= 1;

e587..    b255 + b256 =L= 1;

e588..    b256 + b257 =L= 1;

e589..    b254 + b257 =L= 1;

e590..    b255 + b257 =L= 1;

e591..    b256 + b257 =L= 1;

e592..    b258 + b259 =L= 1;

e593..    b258 + b260 =L= 1;

e594..    b258 + b261 =L= 1;

e595..    b258 + b259 =L= 1;

e596..    b259 + b260 =L= 1;

e597..    b259 + b261 =L= 1;

e598..    b258 + b260 =L= 1;

e599..    b259 + b260 =L= 1;

e600..    b260 + b261 =L= 1;

e601..    b258 + b261 =L= 1;

e602..    b259 + b261 =L= 1;

e603..    b260 + b261 =L= 1;

e604..    b262 + b263 =L= 1;

e605..    b262 + b264 =L= 1;

e606..    b262 + b265 =L= 1;

e607..    b262 + b263 =L= 1;

e608..    b263 + b264 =L= 1;

e609..    b263 + b265 =L= 1;

e610..    b262 + b264 =L= 1;

e611..    b263 + b264 =L= 1;

e612..    b264 + b265 =L= 1;

e613..    b262 + b265 =L= 1;

e614..    b263 + b265 =L= 1;

e615..    b264 + b265 =L= 1;

e616..    b266 + b267 =L= 1;

e617..    b266 + b268 =L= 1;

e618..    b266 + b269 =L= 1;

e619..    b266 + b267 =L= 1;

e620..    b267 + b268 =L= 1;

e621..    b267 + b269 =L= 1;

e622..    b266 + b268 =L= 1;

e623..    b267 + b268 =L= 1;

e624..    b268 + b269 =L= 1;

e625..    b266 + b269 =L= 1;

e626..    b267 + b269 =L= 1;

e627..    b268 + b269 =L= 1;

e628..    b270 + b271 =L= 1;

e629..    b270 + b272 =L= 1;

e630..    b270 + b273 =L= 1;

e631..    b270 + b271 =L= 1;

e632..    b271 + b272 =L= 1;

e633..    b271 + b273 =L= 1;

e634..    b270 + b272 =L= 1;

e635..    b271 + b272 =L= 1;

e636..    b272 + b273 =L= 1;

e637..    b270 + b273 =L= 1;

e638..    b271 + b273 =L= 1;

e639..    b272 + b273 =L= 1;

e640..    b274 + b275 =L= 1;

e641..    b274 + b276 =L= 1;

e642..    b274 + b277 =L= 1;

e643..    b274 + b275 =L= 1;

e644..    b275 + b276 =L= 1;

e645..    b275 + b277 =L= 1;

e646..    b274 + b276 =L= 1;

e647..    b275 + b276 =L= 1;

e648..    b276 + b277 =L= 1;

e649..    b274 + b277 =L= 1;

e650..    b275 + b277 =L= 1;

e651..    b276 + b277 =L= 1;

e652..    b278 + b279 =L= 1;

e653..    b278 + b280 =L= 1;

e654..    b278 + b281 =L= 1;

e655..    b278 + b279 =L= 1;

e656..    b279 + b280 =L= 1;

e657..    b279 + b281 =L= 1;

e658..    b278 + b280 =L= 1;

e659..    b279 + b280 =L= 1;

e660..    b280 + b281 =L= 1;

e661..    b278 + b281 =L= 1;

e662..    b279 + b281 =L= 1;

e663..    b280 + b281 =L= 1;

e664..    b162 - b222 =L= 0;

e665..  - b162 + b163 - b223 =L= 0;

e666..  - b162 - b163 + b164 - b224 =L= 0;

e667..  - b162 - b163 - b164 + b165 - b225 =L= 0;

e668..    b166 - b226 =L= 0;

e669..  - b166 + b167 - b227 =L= 0;

e670..  - b166 - b167 + b168 - b228 =L= 0;

e671..  - b166 - b167 - b168 + b169 - b229 =L= 0;

e672..    b170 - b230 =L= 0;

e673..  - b170 + b171 - b231 =L= 0;

e674..  - b170 - b171 + b172 - b232 =L= 0;

e675..  - b170 - b171 - b172 + b173 - b233 =L= 0;

e676..    b174 - b234 =L= 0;

e677..  - b174 + b175 - b235 =L= 0;

e678..  - b174 - b175 + b176 - b236 =L= 0;

e679..  - b174 - b175 - b176 + b177 - b237 =L= 0;

e680..    b178 - b238 =L= 0;

e681..  - b178 + b179 - b239 =L= 0;

e682..  - b178 - b179 + b180 - b240 =L= 0;

e683..  - b178 - b179 - b180 + b181 - b241 =L= 0;

e684..    b182 - b242 =L= 0;

e685..  - b182 + b183 - b243 =L= 0;

e686..  - b182 - b183 + b184 - b244 =L= 0;

e687..  - b182 - b183 - b184 + b185 - b245 =L= 0;

e688..    b186 - b246 =L= 0;

e689..  - b186 + b187 - b247 =L= 0;

e690..  - b186 - b187 + b188 - b248 =L= 0;

e691..  - b186 - b187 - b188 + b189 - b249 =L= 0;

e692..    b190 - b250 =L= 0;

e693..  - b190 + b191 - b251 =L= 0;

e694..  - b190 - b191 + b192 - b252 =L= 0;

e695..  - b190 - b191 - b192 + b193 - b253 =L= 0;

e696..    b194 - b254 =L= 0;

e697..  - b194 + b195 - b255 =L= 0;

e698..  - b194 - b195 + b196 - b256 =L= 0;

e699..  - b194 - b195 - b196 + b197 - b257 =L= 0;

e700..    b198 - b258 =L= 0;

e701..  - b198 + b199 - b259 =L= 0;

e702..  - b198 - b199 + b200 - b260 =L= 0;

e703..  - b198 - b199 - b200 + b201 - b261 =L= 0;

e704..    b202 - b262 =L= 0;

e705..  - b202 + b203 - b263 =L= 0;

e706..  - b202 - b203 + b204 - b264 =L= 0;

e707..  - b202 - b203 - b204 + b205 - b265 =L= 0;

e708..    b206 - b266 =L= 0;

e709..  - b206 + b207 - b267 =L= 0;

e710..  - b206 - b207 + b208 - b268 =L= 0;

e711..  - b206 - b207 - b208 + b209 - b269 =L= 0;

e712..    b210 - b270 =L= 0;

e713..  - b210 + b211 - b271 =L= 0;

e714..  - b210 - b211 + b212 - b272 =L= 0;

e715..  - b210 - b211 - b212 + b213 - b273 =L= 0;

e716..    b214 - b274 =L= 0;

e717..  - b214 + b215 - b275 =L= 0;

e718..  - b214 - b215 + b216 - b276 =L= 0;

e719..  - b214 - b215 - b216 + b217 - b277 =L= 0;

e720..    b218 - b278 =L= 0;

e721..  - b218 + b219 - b279 =L= 0;

e722..  - b218 - b219 + b220 - b280 =L= 0;

e723..  - b218 - b219 - b220 + b221 - b281 =L= 0;

e724..    b162 + b166 =E= 1;

e725..    b163 + b167 =E= 1;

e726..    b164 + b168 =E= 1;

e727..    b165 + b169 =E= 1;

e728..  - b170 + b182 + b186 =G= 0;

e729..  - b171 + b183 + b187 =G= 0;

e730..  - b172 + b184 + b188 =G= 0;

e731..  - b173 + b185 + b189 =G= 0;

e732..  - b182 + b206 =G= 0;

e733..  - b183 + b207 =G= 0;

e734..  - b184 + b208 =G= 0;

e735..  - b185 + b209 =G= 0;

e736..  - b186 + b210 =G= 0;

e737..  - b187 + b211 =G= 0;

e738..  - b188 + b212 =G= 0;

e739..  - b189 + b213 =G= 0;

e740..  - b174 + b190 =G= 0;

e741..  - b175 + b191 =G= 0;

e742..  - b176 + b192 =G= 0;

e743..  - b177 + b193 =G= 0;

e744..  - b190 + b214 + b218 =G= 0;

e745..  - b191 + b215 + b219 =G= 0;

e746..  - b192 + b216 + b220 =G= 0;

e747..  - b193 + b217 + b221 =G= 0;

e748..  - b178 + b194 + b198 + b202 =G= 0;

e749..  - b179 + b195 + b199 + b203 =G= 0;

e750..  - b180 + b196 + b200 + b204 =G= 0;

e751..  - b181 + b197 + b201 + b205 =G= 0;

e752..  - b194 + b218 =G= 0;

e753..  - b195 + b219 =G= 0;

e754..  - b196 + b220 =G= 0;

e755..  - b197 + b221 =G= 0;

e756..    b162 + b166 - b170 =G= 0;

e757..    b163 + b167 - b171 =G= 0;

e758..    b164 + b168 - b172 =G= 0;

e759..    b165 + b169 - b173 =G= 0;

e760..    b162 + b166 - b174 =G= 0;

e761..    b163 + b167 - b175 =G= 0;

e762..    b164 + b168 - b176 =G= 0;

e763..    b165 + b169 - b177 =G= 0;

e764..    b162 + b166 - b178 =G= 0;

e765..    b163 + b167 - b179 =G= 0;

e766..    b164 + b168 - b180 =G= 0;

e767..    b165 + b169 - b181 =G= 0;

e768..    b170 - b182 =G= 0;

e769..    b171 - b183 =G= 0;

e770..    b172 - b184 =G= 0;

e771..    b173 - b185 =G= 0;

e772..    b170 - b186 =G= 0;

e773..    b171 - b187 =G= 0;

e774..    b172 - b188 =G= 0;

e775..    b173 - b189 =G= 0;

e776..    b174 - b190 =G= 0;

e777..    b175 - b191 =G= 0;

e778..    b176 - b192 =G= 0;

e779..    b177 - b193 =G= 0;

e780..    b178 - b194 =G= 0;

e781..    b179 - b195 =G= 0;

e782..    b180 - b196 =G= 0;

e783..    b181 - b197 =G= 0;

e784..    b178 - b198 =G= 0;

e785..    b179 - b199 =G= 0;

e786..    b180 - b200 =G= 0;

e787..    b181 - b201 =G= 0;

e788..    b178 - b202 =G= 0;

e789..    b179 - b203 =G= 0;

e790..    b180 - b204 =G= 0;

e791..    b181 - b205 =G= 0;

e792..    b182 - b206 =G= 0;

e793..    b183 - b207 =G= 0;

e794..    b184 - b208 =G= 0;

e795..    b185 - b209 =G= 0;

e796..    b186 - b210 =G= 0;

e797..    b187 - b211 =G= 0;

e798..    b188 - b212 =G= 0;

e799..    b189 - b213 =G= 0;

e800..    b190 - b214 =G= 0;

e801..    b191 - b215 =G= 0;

e802..    b192 - b216 =G= 0;

e803..    b193 - b217 =G= 0;

e804..    b190 - b218 =G= 0;

e805..    b191 - b219 =G= 0;

e806..    b192 - b220 =G= 0;

e807..    b193 - b221 =G= 0;

* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x5.up = 40;
x46.up = 30;
x47.up = 30;
x48.up = 30;
x49.up = 30;
x114.up = 20;
x115.up = 20;
x116.up = 20;
x117.up = 20;
x118.up = 20;
x119.up = 20;
x120.up = 20;
x121.up = 20;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% maximizing objvar;


Last updated: 2022-10-14 Git hash: 2be6d7c0
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