MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waterno2_03

Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
115.00451670 p1 ( gdx sol )
(infeas: 9e-13)
Other points (infeas > 1e-08)  
Dual Bounds
114.99301620 (ANTIGONE)
115.00176070 (BARON)
115.00093540 (COUENNE)
115.00446020 (LINDO)
114.99330080 (OCTERACT)
115.00451670 (SCIP)
0.00000000 (SHOT)
References Huang, Wei, Operative Planning of Water Supply Networks by Mixed Integer Nonlinear Programming, Masters thesis, Freie Universität Berlin, 2011.
Gleixner, Ambros M, Held, Harald, Huang, Wei, and Vigerske, Stefan, Towards globally optimal operation of water supply networks, Numerical Algebra, Control and Optimization, 2:4, 2012, 695-711.
Application Water Network Operation
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 498
#Binary Variables 27
#Integer Variables 0
#Nonlinear Variables 126
#Nonlinear Binary Variables 27
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 27
#Nonlinear Nonzeros in Objective 0
#Constraints 616
#Linear Constraints 421
#Quadratic Constraints 156
#Polynomial Constraints 39
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1608
#Nonlinear Nonzeros in Jacobian 303
#Nonzeros in (Upper-Left) Hessian of Lagrangian 264
#Nonzeros in Diagonal of Hessian of Lagrangian 48
#Blocks in Hessian of Lagrangian 33
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 8
Average blocksize in Hessian of Lagrangian 3.818182
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.5000e-01
Maximal coefficient 3.6000e+03
Infeasibility of initial point 3200
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
*        617      367      103      147        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        499      472       27        0        0        0        0        0
*  FX      6
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1636     1333      303        0
*
*  Solve m using MINLP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,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,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,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,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499;

Positive Variables  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,x140,x142,x144,x146,x148,x150,x152,x154,x156,x158,x160
          ,x162,x164,x166,x168,x170,x172,x174,x176,x178,x180,x182,x184,x186
          ,x188,x190,x192,x203,x205,x207,x209,x210,x212,x213,x215,x216,x218
          ,x220,x222,x278,x283,x288,x293,x298,x303,x308,x313,x318,x323,x328
          ,x333,x338,x345,x348,x353,x358,x363,x368,x373,x378,x383,x388,x393
          ,x398,x403,x408,x413,x414,x415,x416,x417,x418,x419,x420,x421,x422
          ,x423,x424,x425,x426,x427,x428,x429,x430,x431,x432,x433,x434,x435
          ,x436,x437,x438,x439,x440,x441,x442,x443,x444,x445,x446,x447,x448
          ,x449,x450,x451,x452,x453,x454,x455,x456,x457,x458,x459,x460,x461
          ,x462,x463,x464,x465,x466,x467,x468,x469,x470,x471,x472,x473,x474
          ,x475;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28;

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;


e1..    objvar - x278 - x283 - x288 - x293 - x298 - x303 - x308 - x313 - x318
      - x323 - x328 - x333 - x338 - x345 - x348 - x353 - x358 - x363 - x368
      - x373 - x378 - x383 - x388 - x393 - x398 - x403 - x408 =E= 0;

e2..    x141 + 27.42831624*x143 + 37.5407324*x145 - 57.2814121*x147 =E= 0;

e3..    x149 + 27.42831624*x151 - 57.2814121*x153 + 37.5407324*x155 =E= 0;

e4..    x157 + 27.42831624*x159 - 57.2814121*x161 + 37.5407324*x163 =E= 0;

e5..  - 57.2814121*x147 + x165 + 27.42831624*x167 + 37.5407324*x169 =E= 0;

e6..  - 57.2814121*x153 + x171 + 37.5407324*x173 + 27.42831624*x175 =E= 0;

e7..  - 57.2814121*x161 + x177 + 37.5407324*x179 + 27.42831624*x181 =E= 0;

e8..  - 57.2814121*x147 + x183 + 37.5407324*x185 + 27.42831624*x187 =E= 0;

e9..  - 57.2814121*x153 + x189 + 27.42831624*x191 + 37.5407324*x193 =E= 0;

e10..    x29 + 27.42831624*x30 + 37.5407324*x31 - 57.2814121*x161 =E= 0;

e11..    x32 - 76.45219958*x33 + 43.14087708*x34 + 50.37356589*x35 =E= 0;

e12..    x36 + 50.37356589*x37 - 76.45219958*x38 + 43.14087708*x39 =E= 0;

e13..    x40 + 43.14087708*x41 + 50.37356589*x42 - 76.45219958*x43 =E= 0;

e14..  - 76.45219958*x33 + x44 + 43.14087708*x45 + 50.37356589*x46 =E= 0;

e15..  - 76.45219958*x38 + x47 + 50.37356589*x48 + 43.14087708*x49 =E= 0;

e16..  - 76.45219958*x43 + x50 + 43.14087708*x51 + 50.37356589*x52 =E= 0;

e17..    x53 + 58.31011875*x54 - 69.39622571*x55 - 25.39911174*x56 =E= 0;

e18..    x57 - 25.39911174*x58 + 58.31011875*x59 - 69.39622571*x60 =E= 0;

e19..    x61 - 69.39622571*x62 + 58.31011875*x63 - 25.39911174*x64 =E= 0;

e20..  - 69.39622571*x55 + x65 + 58.31011875*x66 - 25.39911174*x67 =E= 0;

e21..  - 69.39622571*x60 + x68 - 25.39911174*x69 + 58.31011875*x70 =E= 0;

e22..  - 69.39622571*x62 + x71 + 58.31011875*x72 - 25.39911174*x73 =E= 0;

e23..    x74 - 2.03724124*x75 + 63.61644904*x76 - 34.92732674*x77 =E= 0;

e24..    x78 - 2.03724124*x79 - 34.92732674*x80 + 63.61644904*x81 =E= 0;

e25..    x82 - 2.03724124*x83 - 34.92732674*x84 + 63.61644904*x85 =E= 0;

e26..  - 34.92732674*x77 + x86 + 63.61644904*x87 - 2.03724124*x88 =E= 0;

e27..  - 34.92732674*x80 + x89 + 63.61644904*x90 - 2.03724124*x91 =E= 0;

e28..  - 34.92732674*x84 + x92 - 2.03724124*x93 + 63.61644904*x94 =E= 0;

e29..    x95 + x96 + x97 =G= 0.875;

e30..  - x98 + x99 =E= 0;

e31..  - x100 + x101 =E= 0;

e32..  - x102 + x103 =E= 0;

e33..  - x104 + x105 =E= 0;

e34..  - x106 + x107 =E= 0;

e35..  - x108 + x109 =E= 0;

e36..    x104 - x110 =E= 0;

e37..    x106 - x111 =E= 0;

e38..    x108 - x112 =E= 0;

e39..  - x113 + x114 =E= 0;

e40..  - x115 + x116 =E= 0;

e41..  - x117 + x118 =E= 0;

e42..    x119 =E= 0.296666667;

e43..    x120 =E= 0.294444444;

e44..    x121 =E= 0.283888889;

e45..    x95 - x99 =E= 0;

e46..    x96 - x101 =E= 0;

e47..    x97 - x103 =E= 0;

e48..    3600*x98 - 3600*x105 + 1800*x122 - 1800*x123 =E= 0;

e49..    3600*x100 - 3600*x107 + 1800*x124 - 1800*x125 =E= 0;

e50..    3600*x102 - 3600*x109 + 1800*x126 - 1800*x127 =E= 0;

e51..    3600*x110 - 3600*x114 + 720*x128 - 720*x129 =E= 0;

e52..    3600*x111 - 3600*x116 + 720*x130 - 720*x131 =E= 0;

e53..    3600*x112 - 3600*x118 + 720*x132 - 720*x133 =E= 0;

e54..    3600*x113 - 3600*x119 + 1600*x134 - 1600*x135 =E= 0;

e55..    3600*x115 - 3600*x120 + 1600*x136 - 1600*x137 =E= 0;

e56..    3600*x117 - 3600*x121 + 1600*x138 - 1600*x139 =E= 0;

e57..  - x123 + x124 =E= 0;

e58..  - x125 + x126 =E= 0;

e59..  - x129 + x130 =E= 0;

e60..  - x131 + x132 =E= 0;

e61..  - x135 + x136 =E= 0;

e62..  - x137 + x138 =E= 0;

e63..  - 0.2*b2 + x140 =G= 0;

e64..  - 0.2*b3 + x142 =G= 0;

e65..  - 0.2*b4 + x144 =G= 0;

e66..  - 0.2*b5 + x146 =G= 0;

e67..  - 0.2*b6 + x148 =G= 0;

e68..  - 0.2*b7 + x150 =G= 0;

e69..  - 0.2*b8 + x152 =G= 0;

e70..  - 0.2*b9 + x154 =G= 0;

e71..  - 0.2*b10 + x156 =G= 0;

e72..  - 0.25*b11 + x158 =G= 0;

e73..  - 0.25*b12 + x160 =G= 0;

e74..  - 0.25*b13 + x162 =G= 0;

e75..  - 0.25*b14 + x164 =G= 0;

e76..  - 0.25*b15 + x166 =G= 0;

e77..  - 0.25*b16 + x168 =G= 0;

e78..  - 0.4*b17 + x170 =G= 0;

e79..  - 0.4*b18 + x172 =G= 0;

e80..  - 0.4*b19 + x174 =G= 0;

e81..  - 0.4*b20 + x176 =G= 0;

e82..  - 0.4*b21 + x178 =G= 0;

e83..  - 0.4*b22 + x180 =G= 0;

e84..  - 0.24*b23 + x182 =G= 0;

e85..  - 0.24*b24 + x184 =G= 0;

e86..  - 0.24*b25 + x186 =G= 0;

e87..  - 0.24*b26 + x188 =G= 0;

e88..  - 0.24*b27 + x190 =G= 0;

e89..  - 0.24*b28 + x192 =G= 0;

e90..  - 0.8*b2 + x140 =L= 0;

e91..  - 0.8*b3 + x142 =L= 0;

e92..  - 0.8*b4 + x144 =L= 0;

e93..  - 0.8*b5 + x146 =L= 0;

e94..  - 0.8*b6 + x148 =L= 0;

e95..  - 0.8*b7 + x150 =L= 0;

e96..  - 0.8*b8 + x152 =L= 0;

e97..  - 0.8*b9 + x154 =L= 0;

e98..  - 0.8*b10 + x156 =L= 0;

e99..  - 0.5*b11 + x158 =L= 0;

e100..  - 0.5*b12 + x160 =L= 0;

e101..  - 0.5*b13 + x162 =L= 0;

e102..  - 0.5*b14 + x164 =L= 0;

e103..  - 0.5*b15 + x166 =L= 0;

e104..  - 0.5*b16 + x168 =L= 0;

e105..  - 0.7*b17 + x170 =L= 0;

e106..  - 0.7*b18 + x172 =L= 0;

e107..  - 0.7*b19 + x174 =L= 0;

e108..  - 0.7*b20 + x176 =L= 0;

e109..  - 0.7*b21 + x178 =L= 0;

e110..  - 0.7*b22 + x180 =L= 0;

e111..  - 0.58*b23 + x182 =L= 0;

e112..  - 0.58*b24 + x184 =L= 0;

e113..  - 0.58*b25 + x186 =L= 0;

e114..  - 0.58*b26 + x188 =L= 0;

e115..  - 0.58*b27 + x190 =L= 0;

e116..  - 0.58*b28 + x192 =L= 0;

e117..  - x122 + x194 =E= 60;

e118..  - x124 + x195 =E= 60;

e119..  - x126 + x196 =E= 60;

e120..  - x128 + x197 =E= 90;

e121..  - x130 + x198 =E= 90;

e122..  - x132 + x199 =E= 90;

e123..  - x134 + x200 =E= 103;

e124..  - x136 + x201 =E= 103;

e125..  - x138 + x202 =E= 103;

e126..  - x194 + x203 - x204 =E= 0;

e127..  - x195 + x205 - x206 =E= 0;

e128..  - x196 + x207 - x208 =E= 0;

e129..    x209 - x210 - x211 =E= 0;

e130..    x212 - x213 - x214 =E= 0;

e131..    x215 - x216 - x217 =E= 0;

e132..  - x200 + x218 - x219 =E= 0;

e133..  - x201 + x220 - x221 =E= 0;

e134..  - x202 + x222 - x223 =E= 0;

e135..    x203 - x224 - x225 =E= 0;

e136..    x205 - x226 - x227 =E= 0;

e137..    x207 - x228 - x229 =E= 0;

e138..  - x194 + x209 - x230 =E= 0;

e139..  - x195 + x212 - x231 =E= 0;

e140..  - x196 + x215 - x232 =E= 0;

e141..  - x197 + x218 - x233 =E= 0;

e142..  - x198 + x220 - x234 =E= 0;

e143..  - x199 + x222 - x235 =E= 0;

e144..    0.2*b2 - x140 + x236 =L= 0.2;

e145..    0.2*b3 - x142 + x237 =L= 0.2;

e146..    0.2*b4 - x144 + x238 =L= 0.2;

e147..    0.2*b5 - x146 + x239 =L= 0.2;

e148..    0.2*b6 - x148 + x240 =L= 0.2;

e149..    0.2*b7 - x150 + x241 =L= 0.2;

e150..    0.2*b8 - x152 + x242 =L= 0.2;

e151..    0.2*b9 - x154 + x243 =L= 0.2;

e152..    0.2*b10 - x156 + x244 =L= 0.2;

e153..    0.25*b11 - x158 + x245 =L= 0.25;

e154..    0.25*b12 - x160 + x246 =L= 0.25;

e155..    0.25*b13 - x162 + x247 =L= 0.25;

e156..    0.25*b14 - x164 + x248 =L= 0.25;

e157..    0.25*b15 - x166 + x249 =L= 0.25;

e158..    0.25*b16 - x168 + x250 =L= 0.25;

e159..    0.4*b17 - x170 + x251 =L= 0.4;

e160..    0.4*b18 - x172 + x252 =L= 0.4;

e161..    0.4*b19 - x174 + x253 =L= 0.4;

e162..    0.4*b20 - x176 + x254 =L= 0.4;

e163..    0.4*b21 - x178 + x255 =L= 0.4;

e164..    0.4*b22 - x180 + x256 =L= 0.4;

e165..    0.24*b23 - x182 + x257 =L= 0.24;

e166..    0.24*b24 - x184 + x258 =L= 0.24;

e167..    0.24*b25 - x186 + x259 =L= 0.24;

e168..    0.24*b26 - x188 + x260 =L= 0.24;

e169..    0.24*b27 - x190 + x261 =L= 0.24;

e170..    0.24*b28 - x192 + x262 =L= 0.24;

e171..  - x140 + x236 =G= 0;

e172..  - x142 + x237 =G= 0;

e173..  - x144 + x238 =G= 0;

e174..  - x146 + x239 =G= 0;

e175..  - x148 + x240 =G= 0;

e176..  - x150 + x241 =G= 0;

e177..  - x152 + x242 =G= 0;

e178..  - x154 + x243 =G= 0;

e179..  - x156 + x244 =G= 0;

e180..  - x158 + x245 =G= 0;

e181..  - x160 + x246 =G= 0;

e182..  - x162 + x247 =G= 0;

e183..  - x164 + x248 =G= 0;

e184..  - x166 + x249 =G= 0;

e185..  - x168 + x250 =G= 0;

e186..  - x170 + x251 =G= 0;

e187..  - x172 + x252 =G= 0;

e188..  - x174 + x253 =G= 0;

e189..  - x176 + x254 =G= 0;

e190..  - x178 + x255 =G= 0;

e191..  - x180 + x256 =G= 0;

e192..  - x182 + x257 =G= 0;

e193..  - x184 + x258 =G= 0;

e194..  - x186 + x259 =G= 0;

e195..  - x188 + x260 =G= 0;

e196..  - x190 + x261 =G= 0;

e197..  - x192 + x262 =G= 0;

e198..  - 0.6*b2 + x236 =L= 0.2;

e199..  - 0.6*b3 + x237 =L= 0.2;

e200..  - 0.6*b4 + x238 =L= 0.2;

e201..  - 0.6*b5 + x239 =L= 0.2;

e202..  - 0.6*b6 + x240 =L= 0.2;

e203..  - 0.6*b7 + x241 =L= 0.2;

e204..  - 0.6*b8 + x242 =L= 0.2;

e205..  - 0.6*b9 + x243 =L= 0.2;

e206..  - 0.6*b10 + x244 =L= 0.2;

e207..  - 0.25*b11 + x245 =L= 0.25;

e208..  - 0.25*b12 + x246 =L= 0.25;

e209..  - 0.25*b13 + x247 =L= 0.25;

e210..  - 0.25*b14 + x248 =L= 0.25;

e211..  - 0.25*b15 + x249 =L= 0.25;

e212..  - 0.25*b16 + x250 =L= 0.25;

e213..  - 0.3*b17 + x251 =L= 0.4;

e214..  - 0.3*b18 + x252 =L= 0.4;

e215..  - 0.3*b19 + x253 =L= 0.4;

e216..  - 0.3*b20 + x254 =L= 0.4;

e217..  - 0.3*b21 + x255 =L= 0.4;

e218..  - 0.3*b22 + x256 =L= 0.4;

e219..  - 0.34*b23 + x257 =L= 0.24;

e220..  - 0.34*b24 + x258 =L= 0.24;

e221..  - 0.34*b25 + x259 =L= 0.24;

e222..  - 0.34*b26 + x260 =L= 0.24;

e223..  - 0.34*b27 + x261 =L= 0.24;

e224..  - 0.34*b28 + x262 =L= 0.24;

e225..  - 0.4*b2 + x263 =L= 0.6;

e226..  - 0.4*b3 + x264 =L= 0.6;

e227..  - 0.4*b4 + x265 =L= 0.6;

e228..  - 0.2*b11 + x266 =L= 0.8;

e229..  - 0.2*b12 + x267 =L= 0.8;

e230..  - 0.2*b13 + x268 =L= 0.8;

e231..  - 0.15*b17 + x269 =L= 0.85;

e232..  - 0.15*b18 + x270 =L= 0.85;

e233..  - 0.15*b19 + x271 =L= 0.85;

e234..  - 0.3*b23 + x272 =L= 0.7;

e235..  - 0.3*b24 + x273 =L= 0.7;

e236..  - 0.3*b25 + x274 =L= 0.7;

e237..    b2 - b5 =G= 0;

e238..    b3 - b6 =G= 0;

e239..    b4 - b7 =G= 0;

e240..    b5 - b8 =G= 0;

e241..    b6 - b9 =G= 0;

e242..    b7 - b10 =G= 0;

e243..    b11 - b14 =G= 0;

e244..    b12 - b15 =G= 0;

e245..    b13 - b16 =G= 0;

e246..    b17 - b20 =G= 0;

e247..    b18 - b21 =G= 0;

e248..    b19 - b22 =G= 0;

e249..    b23 - b26 =G= 0;

e250..    b24 - b27 =G= 0;

e251..    b25 - b28 =G= 0;

e252..    x99 - x140 - x146 - x152 =E= 0;

e253..    x101 - x142 - x148 - x154 =E= 0;

e254..    x103 - x144 - x150 - x156 =E= 0;

e255..    x105 - x158 - x164 - x170 - x176 =E= 0;

e256..    x107 - x160 - x166 - x172 - x178 =E= 0;

e257..    x109 - x162 - x168 - x174 - x180 =E= 0;

e258..    x114 - x182 - x188 =E= 0;

e259..    x116 - x184 - x190 =E= 0;

e260..    x118 - x186 - x192 =E= 0;

e261..  - 2000*b2 + x141 - x225 =G= -2000;

e262..  - 2000*b3 + x149 - x227 =G= -2000;

e263..  - 2000*b4 + x157 - x229 =G= -2000;

e264..  - 2000*b5 + x165 - x225 =G= -2000;

e265..  - 2000*b6 + x171 - x227 =G= -2000;

e266..  - 2000*b7 + x177 - x229 =G= -2000;

e267..  - 2000*b8 + x183 - x225 =G= -2000;

e268..  - 2000*b9 + x189 - x227 =G= -2000;

e269..  - 2000*b10 + x29 - x229 =G= -2000;

e270..  - 2000*b11 + x32 - x230 =G= -2000;

e271..  - 2000*b12 + x36 - x231 =G= -2000;

e272..  - 2000*b13 + x40 - x232 =G= -2000;

e273..  - 2000*b14 + x44 - x230 =G= -2000;

e274..  - 2000*b15 + x47 - x231 =G= -2000;

e275..  - 2000*b16 + x50 - x232 =G= -2000;

e276..  - 2000*b17 + x53 - x230 =G= -2000;

e277..  - 2000*b18 + x57 - x231 =G= -2000;

e278..  - 2000*b19 + x61 - x232 =G= -2000;

e279..  - 2000*b20 + x65 - x230 =G= -2000;

e280..  - 2000*b21 + x68 - x231 =G= -2000;

e281..  - 2000*b22 + x71 - x232 =G= -2000;

e282..  - 2000*b23 + x74 - x233 =G= -2000;

e283..  - 2000*b24 + x78 - x234 =G= -2000;

e284..  - 2000*b25 + x82 - x235 =G= -2000;

e285..  - 2000*b26 + x86 - x233 =G= -2000;

e286..  - 2000*b27 + x89 - x234 =G= -2000;

e287..  - 2000*b28 + x92 - x235 =G= -2000;

e288..    1049*b2 + x141 - x225 =L= 1049;

e289..    1049*b3 + x149 - x227 =L= 1049;

e290..    1049*b4 + x157 - x229 =L= 1049;

e291..    1049*b5 + x165 - x225 =L= 1049;

e292..    1049*b6 + x171 - x227 =L= 1049;

e293..    1049*b7 + x177 - x229 =L= 1049;

e294..    1049*b8 + x183 - x225 =L= 1049;

e295..    1049*b9 + x189 - x227 =L= 1049;

e296..    1049*b10 + x29 - x229 =L= 1049;

e297..    1065*b11 + x32 - x230 =L= 1065;

e298..    1065*b12 + x36 - x231 =L= 1065;

e299..    1065*b13 + x40 - x232 =L= 1065;

e300..    1065*b14 + x44 - x230 =L= 1065;

e301..    1065*b15 + x47 - x231 =L= 1065;

e302..    1065*b16 + x50 - x232 =L= 1065;

e303..    1065*b17 + x53 - x230 =L= 1065;

e304..    1065*b18 + x57 - x231 =L= 1065;

e305..    1065*b19 + x61 - x232 =L= 1065;

e306..    1065*b20 + x65 - x230 =L= 1065;

e307..    1065*b21 + x68 - x231 =L= 1065;

e308..    1065*b22 + x71 - x232 =L= 1065;

e309..    1095*b23 + x74 - x233 =L= 1095;

e310..    1095*b24 + x78 - x234 =L= 1095;

e311..    1095*b25 + x82 - x235 =L= 1095;

e312..    1095*b26 + x86 - x233 =L= 1095;

e313..    1095*b27 + x89 - x234 =L= 1095;

e314..    1095*b28 + x92 - x235 =L= 1095;

e315..  - x197 + x210 =G= 0;

e316..  - x198 + x213 =G= 0;

e317..  - x199 + x216 =G= 0;

e318..    x200 - x275 =G= 0;

e319..    x201 - x276 =G= 0;

e320..    x202 - x277 =G= 0;

e321..  - 0.309838295393634*x278 + 13.94696158*x279 + 24.46510819*x280
        - 7.28623839*x281 - 23.57687014*x282 =L= 0;

e322..  - 0.309838295393634*x283 + 13.94696158*x284 + 24.46510819*x285
        - 7.28623839*x286 - 23.57687014*x287 =L= 0;

e323..  - 0.309838295393634*x288 + 13.94696158*x289 + 24.46510819*x290
        - 7.28623839*x291 - 23.57687014*x292 =L= 0;

e324..  - 0.309838295393634*x293 + 13.94696158*x294 + 24.46510819*x295
        - 7.28623839*x296 - 23.57687014*x297 =L= 0;

e325..  - 0.309838295393634*x298 + 13.94696158*x299 + 24.46510819*x300
        - 7.28623839*x301 - 23.57687014*x302 =L= 0;

e326..  - 0.309838295393634*x303 + 13.94696158*x304 + 24.46510819*x305
        - 7.28623839*x306 - 23.57687014*x307 =L= 0;

e327..  - 0.309838295393634*x308 + 13.94696158*x309 + 24.46510819*x310
        - 7.28623839*x311 - 23.57687014*x312 =L= 0;

e328..  - 0.309838295393634*x313 + 13.94696158*x314 + 24.46510819*x315
        - 7.28623839*x316 - 23.57687014*x317 =L= 0;

e329..  - 0.309838295393634*x318 + 13.94696158*x319 + 24.46510819*x320
        - 7.28623839*x321 - 23.57687014*x322 =L= 0;

e330..  - 0.309838295393634*x323 + 29.29404529*x324 - 108.39408287*x325
        + 442.21990639*x326 - 454.58448169*x327 =L= 0;

e331..  - 0.309838295393634*x328 + 29.29404529*x329 - 108.39408287*x330
        + 442.21990639*x331 - 454.58448169*x332 =L= 0;

e332..  - 0.309838295393634*x333 + 29.29404529*x334 - 108.39408287*x335
        + 442.21990639*x336 - 454.58448169*x337 =L= 0;

e333..  - 0.309838295393634*x338 + 29.29404529*x339 - 108.39408287*x340
        + 442.21990639*x341 - 454.58448169*x342 =L= 0;

e334..    442.21990639*x343 - 454.58448169*x344 - 0.309838295393634*x345
        + 29.29404529*x346 - 108.39408287*x347 =L= 0;

e335..  - 0.309838295393634*x348 + 29.29404529*x349 - 108.39408287*x350
        + 442.21990639*x351 - 454.58448169*x352 =L= 0;

e336..  - 0.309838295393634*x353 + 25.92674585*x354 + 18.13482123*x355
        + 22.12766012*x356 - 42.68950769*x357 =L= 0;

e337..  - 0.309838295393634*x358 + 25.92674585*x359 + 18.13482123*x360
        + 22.12766012*x361 - 42.68950769*x362 =L= 0;

e338..  - 0.309838295393634*x363 + 25.92674585*x364 + 18.13482123*x365
        + 22.12766012*x366 - 42.68950769*x367 =L= 0;

e339..  - 0.309838295393634*x368 + 25.92674585*x369 + 18.13482123*x370
        + 22.12766012*x371 - 42.68950769*x372 =L= 0;

e340..  - 0.309838295393634*x373 + 25.92674585*x374 + 18.13482123*x375
        + 22.12766012*x376 - 42.68950769*x377 =L= 0;

e341..  - 0.309838295393634*x378 + 25.92674585*x379 + 18.13482123*x380
        + 22.12766012*x381 - 42.68950769*x382 =L= 0;

e342..  - 0.309838295393634*x383 + 17.4714791*x384 - 39.98407808*x385
        + 134.55943082*x386 - 135.88441782*x387 =L= 0;

e343..  - 0.309838295393634*x388 + 17.4714791*x389 - 39.98407808*x390
        + 134.55943082*x391 - 135.88441782*x392 =L= 0;

e344..  - 0.309838295393634*x393 + 17.4714791*x394 - 39.98407808*x395
        + 134.55943082*x396 - 135.88441782*x397 =L= 0;

e345..  - 0.309838295393634*x398 + 17.4714791*x399 - 39.98407808*x400
        + 134.55943082*x401 - 135.88441782*x402 =L= 0;

e346..  - 0.309838295393634*x403 + 17.4714791*x404 - 39.98407808*x405
        + 134.55943082*x406 - 135.88441782*x407 =L= 0;

e347..  - 0.309838295393634*x408 + 17.4714791*x409 - 39.98407808*x410
        + 134.55943082*x411 - 135.88441782*x412 =L= 0;

e348.. sqr(x98) - x413 =E= 0;

e349..    x204 - 5*x413 =E= 0;

e350.. sqr(x100) - x414 =E= 0;

e351..    x206 - 5*x414 =E= 0;

e352.. sqr(x102) - x415 =E= 0;

e353..    x208 - 5*x415 =E= 0;

e354.. sqr(x104) - x416 =E= 0;

e355..    x211 - 4*x416 =E= 0;

e356.. sqr(x106) - x417 =E= 0;

e357..    x214 - 4*x417 =E= 0;

e358.. sqr(x108) - x418 =E= 0;

e359..    x217 - 4*x418 =E= 0;

e360.. sqr(x113) - x419 =E= 0;

e361..    x219 - 5*x419 =E= 0;

e362.. sqr(x115) - x420 =E= 0;

e363..    x221 - 5*x420 =E= 0;

e364.. sqr(x117) - x421 =E= 0;

e365..    x223 - 5*x421 =E= 0;

e366.. sqr(x140) - x422 =E= 0;

e367..    x143 - x422 =E= 0;

e368.. POWER(x140,3) - x423 =E= 0;

e369..    x282 - x423 =E= 0;

e370.. sqr(x142) - x424 =E= 0;

e371..    x151 - x424 =E= 0;

e372.. POWER(x142,3) - x425 =E= 0;

e373..    x287 - x425 =E= 0;

e374.. sqr(x144) - x426 =E= 0;

e375..    x159 - x426 =E= 0;

e376.. POWER(x144,3) - x427 =E= 0;

e377..    x292 - x427 =E= 0;

e378.. sqr(x146) - x428 =E= 0;

e379..    x167 - x428 =E= 0;

e380.. POWER(x146,3) - x429 =E= 0;

e381..    x297 - x429 =E= 0;

e382.. sqr(x148) - x430 =E= 0;

e383..    x175 - x430 =E= 0;

e384.. POWER(x148,3) - x431 =E= 0;

e385..    x302 - x431 =E= 0;

e386.. sqr(x150) - x432 =E= 0;

e387..    x181 - x432 =E= 0;

e388.. POWER(x150,3) - x433 =E= 0;

e389..    x307 - x433 =E= 0;

e390.. sqr(x152) - x434 =E= 0;

e391..    x187 - x434 =E= 0;

e392.. POWER(x152,3) - x435 =E= 0;

e393..    x312 - x435 =E= 0;

e394.. sqr(x154) - x436 =E= 0;

e395..    x191 - x436 =E= 0;

e396.. POWER(x154,3) - x437 =E= 0;

e397..    x317 - x437 =E= 0;

e398.. sqr(x156) - x438 =E= 0;

e399..    x30 - x438 =E= 0;

e400.. POWER(x156,3) - x439 =E= 0;

e401..    x322 - x439 =E= 0;

e402.. sqr(x158) - x440 =E= 0;

e403..    x35 - x440 =E= 0;

e404.. POWER(x158,3) - x441 =E= 0;

e405..    x327 - x441 =E= 0;

e406.. sqr(x160) - x442 =E= 0;

e407..    x37 - x442 =E= 0;

e408.. POWER(x160,3) - x443 =E= 0;

e409..    x332 - x443 =E= 0;

e410.. sqr(x162) - x444 =E= 0;

e411..    x42 - x444 =E= 0;

e412.. POWER(x162,3) - x445 =E= 0;

e413..    x337 - x445 =E= 0;

e414.. sqr(x164) - x446 =E= 0;

e415..    x46 - x446 =E= 0;

e416.. POWER(x164,3) - x447 =E= 0;

e417..    x342 - x447 =E= 0;

e418.. sqr(x166) - x448 =E= 0;

e419..    x48 - x448 =E= 0;

e420.. POWER(x166,3) - x449 =E= 0;

e421..    x344 - x449 =E= 0;

e422.. sqr(x168) - x450 =E= 0;

e423..    x52 - x450 =E= 0;

e424.. POWER(x168,3) - x451 =E= 0;

e425..    x352 - x451 =E= 0;

e426.. sqr(x170) - x452 =E= 0;

e427..    x56 - x452 =E= 0;

e428.. POWER(x170,3) - x453 =E= 0;

e429..    x357 - x453 =E= 0;

e430.. sqr(x172) - x454 =E= 0;

e431..    x58 - x454 =E= 0;

e432.. POWER(x172,3) - x455 =E= 0;

e433..    x362 - x455 =E= 0;

e434.. sqr(x174) - x456 =E= 0;

e435..    x64 - x456 =E= 0;

e436.. POWER(x174,3) - x457 =E= 0;

e437..    x367 - x457 =E= 0;

e438.. sqr(x176) - x458 =E= 0;

e439..    x67 - x458 =E= 0;

e440.. POWER(x176,3) - x459 =E= 0;

e441..    x372 - x459 =E= 0;

e442.. sqr(x178) - x460 =E= 0;

e443..    x69 - x460 =E= 0;

e444.. POWER(x178,3) - x461 =E= 0;

e445..    x377 - x461 =E= 0;

e446.. sqr(x180) - x462 =E= 0;

e447..    x73 - x462 =E= 0;

e448.. POWER(x180,3) - x463 =E= 0;

e449..    x382 - x463 =E= 0;

e450.. sqr(x182) - x464 =E= 0;

e451..    x76 - x464 =E= 0;

e452.. POWER(x182,3) - x465 =E= 0;

e453..    x387 - x465 =E= 0;

e454.. sqr(x184) - x466 =E= 0;

e455..    x81 - x466 =E= 0;

e456.. POWER(x184,3) - x467 =E= 0;

e457..    x392 - x467 =E= 0;

e458.. sqr(x186) - x468 =E= 0;

e459..    x85 - x468 =E= 0;

e460.. POWER(x186,3) - x469 =E= 0;

e461..    x397 - x469 =E= 0;

e462.. sqr(x188) - x470 =E= 0;

e463..    x87 - x470 =E= 0;

e464.. POWER(x188,3) - x471 =E= 0;

e465..    x402 - x471 =E= 0;

e466.. sqr(x190) - x472 =E= 0;

e467..    x90 - x472 =E= 0;

e468.. POWER(x190,3) - x473 =E= 0;

e469..    x407 - x473 =E= 0;

e470.. sqr(x192) - x474 =E= 0;

e471..    x94 - x474 =E= 0;

e472.. POWER(x192,3) - x475 =E= 0;

e473..    x412 - x475 =E= 0;

e474.. x140*x263 - x145 =E= 0;

e475.. x263*x422 - x281 =E= 0;

e476.. x146*x263 - x169 =E= 0;

e477.. x263*x428 - x296 =E= 0;

e478.. x152*x263 - x185 =E= 0;

e479.. x263*x434 - x311 =E= 0;

e480.. sqr(x263) - x476 =E= 0;

e481..    x147 - x476 =E= 0;

e482.. x140*x476 - x280 =E= 0;

e483.. x146*x476 - x295 =E= 0;

e484.. x152*x476 - x310 =E= 0;

e485.. POWER(x263,3) - x477 =E= 0;

e486.. b2*x477 - x279 =E= 0;

e487.. b5*x477 - x294 =E= 0;

e488.. b8*x477 - x309 =E= 0;

e489.. x142*x264 - x155 =E= 0;

e490.. x264*x424 - x286 =E= 0;

e491.. x148*x264 - x173 =E= 0;

e492.. x264*x430 - x301 =E= 0;

e493.. x154*x264 - x193 =E= 0;

e494.. x264*x436 - x316 =E= 0;

e495.. sqr(x264) - x478 =E= 0;

e496..    x153 - x478 =E= 0;

e497.. x142*x478 - x285 =E= 0;

e498.. x148*x478 - x300 =E= 0;

e499.. x154*x478 - x315 =E= 0;

e500.. POWER(x264,3) - x479 =E= 0;

e501.. b3*x479 - x284 =E= 0;

e502.. b6*x479 - x299 =E= 0;

e503.. b9*x479 - x314 =E= 0;

e504.. x144*x265 - x163 =E= 0;

e505.. x265*x426 - x291 =E= 0;

e506.. x150*x265 - x179 =E= 0;

e507.. x265*x432 - x306 =E= 0;

e508.. x156*x265 - x31 =E= 0;

e509.. x265*x438 - x321 =E= 0;

e510.. sqr(x265) - x480 =E= 0;

e511..    x161 - x480 =E= 0;

e512.. x144*x480 - x290 =E= 0;

e513.. x150*x480 - x305 =E= 0;

e514.. x156*x480 - x320 =E= 0;

e515.. POWER(x265,3) - x481 =E= 0;

e516.. b4*x481 - x289 =E= 0;

e517.. b7*x481 - x304 =E= 0;

e518.. b10*x481 - x319 =E= 0;

e519.. x158*x266 - x34 =E= 0;

e520.. x266*x440 - x326 =E= 0;

e521.. x164*x266 - x45 =E= 0;

e522.. x266*x446 - x341 =E= 0;

e523.. sqr(x266) - x482 =E= 0;

e524..    x33 - x482 =E= 0;

e525.. x158*x482 - x325 =E= 0;

e526.. x164*x482 - x340 =E= 0;

e527.. POWER(x266,3) - x483 =E= 0;

e528.. b11*x483 - x324 =E= 0;

e529.. b14*x483 - x339 =E= 0;

e530.. x160*x267 - x39 =E= 0;

e531.. x267*x442 - x331 =E= 0;

e532.. x166*x267 - x49 =E= 0;

e533.. x267*x448 - x343 =E= 0;

e534.. sqr(x267) - x484 =E= 0;

e535..    x38 - x484 =E= 0;

e536.. x160*x484 - x330 =E= 0;

e537.. x166*x484 - x347 =E= 0;

e538.. POWER(x267,3) - x485 =E= 0;

e539.. b12*x485 - x329 =E= 0;

e540.. b15*x485 - x346 =E= 0;

e541.. x162*x268 - x41 =E= 0;

e542.. x268*x444 - x336 =E= 0;

e543.. x168*x268 - x51 =E= 0;

e544.. x268*x450 - x351 =E= 0;

e545.. sqr(x268) - x486 =E= 0;

e546..    x43 - x486 =E= 0;

e547.. x162*x486 - x335 =E= 0;

e548.. x168*x486 - x350 =E= 0;

e549.. POWER(x268,3) - x487 =E= 0;

e550.. b13*x487 - x334 =E= 0;

e551.. b16*x487 - x349 =E= 0;

e552.. x170*x269 - x54 =E= 0;

e553.. x269*x452 - x356 =E= 0;

e554.. x176*x269 - x66 =E= 0;

e555.. x269*x458 - x371 =E= 0;

e556.. sqr(x269) - x488 =E= 0;

e557..    x55 - x488 =E= 0;

e558.. x170*x488 - x355 =E= 0;

e559.. x176*x488 - x370 =E= 0;

e560.. POWER(x269,3) - x489 =E= 0;

e561.. b17*x489 - x354 =E= 0;

e562.. b20*x489 - x369 =E= 0;

e563.. x172*x270 - x59 =E= 0;

e564.. x270*x454 - x361 =E= 0;

e565.. x178*x270 - x70 =E= 0;

e566.. x270*x460 - x376 =E= 0;

e567.. sqr(x270) - x490 =E= 0;

e568..    x60 - x490 =E= 0;

e569.. x172*x490 - x360 =E= 0;

e570.. x178*x490 - x375 =E= 0;

e571.. POWER(x270,3) - x491 =E= 0;

e572.. b18*x491 - x359 =E= 0;

e573.. b21*x491 - x374 =E= 0;

e574.. x174*x271 - x63 =E= 0;

e575.. x271*x456 - x366 =E= 0;

e576.. x180*x271 - x72 =E= 0;

e577.. x271*x462 - x381 =E= 0;

e578.. sqr(x271) - x492 =E= 0;

e579..    x62 - x492 =E= 0;

e580.. x174*x492 - x365 =E= 0;

e581.. x180*x492 - x380 =E= 0;

e582.. POWER(x271,3) - x493 =E= 0;

e583.. b19*x493 - x364 =E= 0;

e584.. b22*x493 - x379 =E= 0;

e585.. x182*x272 - x75 =E= 0;

e586.. x272*x464 - x386 =E= 0;

e587.. x188*x272 - x88 =E= 0;

e588.. x272*x470 - x401 =E= 0;

e589.. sqr(x272) - x494 =E= 0;

e590..    x77 - x494 =E= 0;

e591.. x182*x494 - x385 =E= 0;

e592.. x188*x494 - x400 =E= 0;

e593.. POWER(x272,3) - x495 =E= 0;

e594.. b23*x495 - x384 =E= 0;

e595.. b26*x495 - x399 =E= 0;

e596.. x184*x273 - x79 =E= 0;

e597.. x273*x466 - x391 =E= 0;

e598.. x190*x273 - x91 =E= 0;

e599.. x273*x472 - x406 =E= 0;

e600.. sqr(x273) - x496 =E= 0;

e601..    x80 - x496 =E= 0;

e602.. x184*x496 - x390 =E= 0;

e603.. x190*x496 - x405 =E= 0;

e604.. POWER(x273,3) - x497 =E= 0;

e605.. b24*x497 - x389 =E= 0;

e606.. b27*x497 - x404 =E= 0;

e607.. x186*x274 - x83 =E= 0;

e608.. x274*x468 - x396 =E= 0;

e609.. x192*x274 - x93 =E= 0;

e610.. x274*x474 - x411 =E= 0;

e611.. sqr(x274) - x498 =E= 0;

e612..    x84 - x498 =E= 0;

e613.. x186*x498 - x395 =E= 0;

e614.. x192*x498 - x410 =E= 0;

e615.. POWER(x274,3) - x499 =E= 0;

e616.. b25*x499 - x394 =E= 0;

e617.. b28*x499 - x409 =E= 0;

* set non-default bounds
x29.lo = -1000; x29.up = 1000;
x32.lo = -1000; x32.up = 1000;
x36.lo = -1000; x36.up = 1000;
x40.lo = -1000; x40.up = 1000;
x44.lo = -1000; x44.up = 1000;
x47.lo = -1000; x47.up = 1000;
x50.lo = -1000; x50.up = 1000;
x53.lo = -1000; x53.up = 1000;
x57.lo = -1000; x57.up = 1000;
x61.lo = -1000; x61.up = 1000;
x65.lo = -1000; x65.up = 1000;
x68.lo = -1000; x68.up = 1000;
x71.lo = -1000; x71.up = 1000;
x74.lo = -1000; x74.up = 1000;
x78.lo = -1000; x78.up = 1000;
x82.lo = -1000; x82.up = 1000;
x86.lo = -1000; x86.up = 1000;
x89.lo = -1000; x89.up = 1000;
x92.lo = -1000; x92.up = 1000;
x95.up = 5;
x96.up = 5;
x97.up = 5;
x98.up = 5;
x99.up = 2.4;
x100.up = 5;
x101.up = 2.4;
x102.up = 5;
x103.up = 2.4;
x104.up = 5;
x105.up = 2.4;
x106.up = 5;
x107.up = 2.4;
x108.up = 5;
x109.up = 2.4;
x110.up = 5;
x111.up = 5;
x112.up = 5;
x113.up = 5;
x114.up = 1.16;
x115.up = 5;
x116.up = 1.16;
x117.up = 5;
x118.up = 1.16;
x119.up = 5;
x120.up = 5;
x121.up = 5;
x122.fx = 3.5;
x123.lo = 2; x123.up = 5;
x124.lo = 2; x124.up = 5;
x125.lo = 2; x125.up = 5;
x126.lo = 2; x126.up = 5;
x127.lo = 2; x127.up = 5;
x128.fx = 4.1;
x129.lo = 2.5; x129.up = 5;
x130.lo = 2.5; x130.up = 5;
x131.lo = 2.5; x131.up = 5;
x132.lo = 2.5; x132.up = 5;
x133.lo = 2.5; x133.up = 5;
x134.fx = 4;
x135.lo = 2; x135.up = 6;
x136.lo = 2; x136.up = 6;
x137.lo = 2; x137.up = 6;
x138.lo = 2; x138.up = 6;
x139.lo = 2; x139.up = 6;
x140.up = 0.8;
x141.lo = -1000; x141.up = 1000;
x142.up = 0.8;
x144.up = 0.8;
x146.up = 0.8;
x148.up = 0.8;
x149.lo = -1000; x149.up = 1000;
x150.up = 0.8;
x152.up = 0.8;
x154.up = 0.8;
x156.up = 0.8;
x157.lo = -1000; x157.up = 1000;
x158.up = 0.5;
x160.up = 0.5;
x162.up = 0.5;
x164.up = 0.5;
x165.lo = -1000; x165.up = 1000;
x166.up = 0.5;
x168.up = 0.5;
x170.up = 0.7;
x171.lo = -1000; x171.up = 1000;
x172.up = 0.7;
x174.up = 0.7;
x176.up = 0.7;
x177.lo = -1000; x177.up = 1000;
x178.up = 0.7;
x180.up = 0.7;
x182.up = 0.58;
x183.lo = -1000; x183.up = 1000;
x184.up = 0.58;
x186.up = 0.58;
x188.up = 0.58;
x189.lo = -1000; x189.up = 1000;
x190.up = 0.58;
x192.up = 0.58;
x194.lo = 62; x194.up = 65;
x195.lo = 62; x195.up = 65;
x196.lo = 62; x196.up = 65;
x197.lo = 92.5; x197.up = 95;
x198.lo = 92.5; x198.up = 95;
x199.lo = 92.5; x199.up = 95;
x200.lo = 105; x200.up = 109;
x201.lo = 105; x201.up = 109;
x202.lo = 105; x202.up = 109;
x203.up = 1000;
x204.lo = -125; x204.up = 125;
x205.up = 1000;
x206.lo = -125; x206.up = 125;
x207.up = 1000;
x208.lo = -125; x208.up = 125;
x209.up = 1000;
x210.up = 1000;
x211.lo = -100; x211.up = 100;
x212.up = 1000;
x213.up = 1000;
x214.lo = -100; x214.up = 100;
x215.up = 1000;
x216.up = 1000;
x217.lo = -100; x217.up = 100;
x218.up = 1000;
x219.lo = -125; x219.up = 125;
x220.up = 1000;
x221.lo = -125; x221.up = 125;
x222.up = 1000;
x223.lo = -125; x223.up = 125;
x224.fx = 49;
x225.lo = -49; x225.up = 1000;
x226.fx = 49;
x227.lo = -49; x227.up = 1000;
x228.fx = 49;
x229.lo = -49; x229.up = 1000;
x230.lo = -65; x230.up = 1000;
x231.lo = -65; x231.up = 1000;
x232.lo = -65; x232.up = 1000;
x233.lo = -95; x233.up = 1000;
x234.lo = -95; x234.up = 1000;
x235.lo = -95; x235.up = 1000;
x236.lo = 0.2; x236.up = 0.8;
x237.lo = 0.2; x237.up = 0.8;
x238.lo = 0.2; x238.up = 0.8;
x239.lo = 0.2; x239.up = 0.8;
x240.lo = 0.2; x240.up = 0.8;
x241.lo = 0.2; x241.up = 0.8;
x242.lo = 0.2; x242.up = 0.8;
x243.lo = 0.2; x243.up = 0.8;
x244.lo = 0.2; x244.up = 0.8;
x245.lo = 0.25; x245.up = 0.5;
x246.lo = 0.25; x246.up = 0.5;
x247.lo = 0.25; x247.up = 0.5;
x248.lo = 0.25; x248.up = 0.5;
x249.lo = 0.25; x249.up = 0.5;
x250.lo = 0.25; x250.up = 0.5;
x251.lo = 0.4; x251.up = 0.7;
x252.lo = 0.4; x252.up = 0.7;
x253.lo = 0.4; x253.up = 0.7;
x254.lo = 0.4; x254.up = 0.7;
x255.lo = 0.4; x255.up = 0.7;
x256.lo = 0.4; x256.up = 0.7;
x257.lo = 0.24; x257.up = 0.58;
x258.lo = 0.24; x258.up = 0.58;
x259.lo = 0.24; x259.up = 0.58;
x260.lo = 0.24; x260.up = 0.58;
x261.lo = 0.24; x261.up = 0.58;
x262.lo = 0.24; x262.up = 0.58;
x263.lo = 0.6; x263.up = 1;
x264.lo = 0.6; x264.up = 1;
x265.lo = 0.6; x265.up = 1;
x266.lo = 0.8; x266.up = 1;
x267.lo = 0.8; x267.up = 1;
x268.lo = 0.8; x268.up = 1;
x269.lo = 0.85; x269.up = 1;
x270.lo = 0.85; x270.up = 1;
x271.lo = 0.85; x271.up = 1;
x272.lo = 0.7; x272.up = 1;
x273.lo = 0.7; x273.up = 1;
x274.lo = 0.7; x274.up = 1;
x275.lo = 100; x275.up = 1000;
x276.lo = 100; x276.up = 1000;
x277.lo = 100; x277.up = 1000;
x278.up = 54.1717996137183;
x283.up = 54.1717996137183;
x288.up = 54.1717996137183;
x293.up = 54.1717996137183;
x298.up = 54.1717996137183;
x303.up = 54.1717996137183;
x308.up = 54.1717996137183;
x313.up = 54.1717996137183;
x318.up = 54.1717996137183;
x323.up = 93.045051789432;
x328.up = 93.045051789432;
x333.up = 93.045051789432;
x338.up = 93.045051789432;
x345.up = 93.045051789432;
x348.up = 93.045051789432;
x353.up = 112.384987749469;
x358.up = 112.384987749469;
x363.up = 112.384987749469;
x368.up = 112.384987749469;
x373.up = 112.384987749469;
x378.up = 112.384987749469;
x383.up = 42.066542469172;
x388.up = 42.066542469172;
x393.up = 42.066542469172;
x398.up = 42.066542469172;
x403.up = 42.066542469172;
x408.up = 42.066542469172;
x413.up = 25;
x414.up = 25;
x415.up = 25;
x416.up = 25;
x417.up = 25;
x418.up = 25;
x419.up = 25;
x420.up = 25;
x421.up = 25;
x422.up = 0.64;
x423.up = 0.512;
x424.up = 0.64;
x425.up = 0.512;
x426.up = 0.64;
x427.up = 0.512;
x428.up = 0.64;
x429.up = 0.512;
x430.up = 0.64;
x431.up = 0.512;
x432.up = 0.64;
x433.up = 0.512;
x434.up = 0.64;
x435.up = 0.512;
x436.up = 0.64;
x437.up = 0.512;
x438.up = 0.64;
x439.up = 0.512;
x440.up = 0.25;
x441.up = 0.125;
x442.up = 0.25;
x443.up = 0.125;
x444.up = 0.25;
x445.up = 0.125;
x446.up = 0.25;
x447.up = 0.125;
x448.up = 0.25;
x449.up = 0.125;
x450.up = 0.25;
x451.up = 0.125;
x452.up = 0.49;
x453.up = 0.343;
x454.up = 0.49;
x455.up = 0.343;
x456.up = 0.49;
x457.up = 0.343;
x458.up = 0.49;
x459.up = 0.343;
x460.up = 0.49;
x461.up = 0.343;
x462.up = 0.49;
x463.up = 0.343;
x464.up = 0.3364;
x465.up = 0.195112;
x466.up = 0.3364;
x467.up = 0.195112;
x468.up = 0.3364;
x469.up = 0.195112;
x470.up = 0.3364;
x471.up = 0.195112;
x472.up = 0.3364;
x473.up = 0.195112;
x474.up = 0.3364;
x475.up = 0.195112;
x476.lo = 0.36; x476.up = 1;
x477.lo = 0.216; x477.up = 1;
x478.lo = 0.36; x478.up = 1;
x479.lo = 0.216; x479.up = 1;
x480.lo = 0.36; x480.up = 1;
x481.lo = 0.216; x481.up = 1;
x482.lo = 0.64; x482.up = 1;
x483.lo = 0.512; x483.up = 1;
x484.lo = 0.64; x484.up = 1;
x485.lo = 0.512; x485.up = 1;
x486.lo = 0.64; x486.up = 1;
x487.lo = 0.512; x487.up = 1;
x488.lo = 0.7225; x488.up = 1;
x489.lo = 0.614125; x489.up = 1;
x490.lo = 0.7225; x490.up = 1;
x491.lo = 0.614125; x491.up = 1;
x492.lo = 0.7225; x492.up = 1;
x493.lo = 0.614125; x493.up = 1;
x494.lo = 0.49; x494.up = 1;
x495.lo = 0.343; x495.up = 1;
x496.lo = 0.49; x496.up = 1;
x497.lo = 0.343; x497.up = 1;
x498.lo = 0.49; x498.up = 1;
x499.lo = 0.343; x499.up = 1;

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% minimizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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