# NLP written by GAMS Convert at 02/17/22 17:18:03 # # Equation counts # Total E G L N X C B # 98 98 0 0 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 100 100 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 289 242 47 # # Reformulation has removed 1 variable and 1 equation from pyomo.environ import * model = m = ConcreteModel() m.x1 = Var(within=Reals, bounds=(-3,3), initialize=0) m.x2 = Var(within=Reals, bounds=(-3,3), initialize=0) m.x3 = Var(within=Reals, bounds=(None,None), initialize=0) m.x4 = Var(within=Reals, bounds=(None,None), initialize=0) m.x5 = Var(within=Reals, bounds=(None,None), initialize=0) m.x6 = Var(within=Reals, bounds=(None,None), initialize=0) m.x7 = Var(within=Reals, bounds=(None,None), initialize=0) m.x8 = Var(within=Reals, bounds=(None,None), initialize=0) m.x9 = Var(within=Reals, bounds=(None,None), initialize=0) m.x10 = Var(within=Reals, bounds=(None,None), initialize=0) m.x11 = Var(within=Reals, bounds=(None,None), initialize=0) m.x12 = Var(within=Reals, bounds=(None,None), initialize=0) m.x13 = Var(within=Reals, bounds=(None,None), initialize=0) m.x14 = Var(within=Reals, bounds=(None,None), initialize=0) m.x15 = Var(within=Reals, bounds=(None,None), initialize=0) m.x16 = Var(within=Reals, bounds=(None,None), initialize=0) m.x17 = Var(within=Reals, bounds=(None,None), initialize=0) m.x18 = Var(within=Reals, bounds=(None,None), initialize=0) m.x19 = Var(within=Reals, bounds=(None,None), initialize=0) m.x20 = Var(within=Reals, bounds=(None,None), initialize=0) m.x21 = Var(within=Reals, bounds=(None,None), initialize=0) m.x22 = Var(within=Reals, bounds=(None,None), initialize=0) m.x23 = Var(within=Reals, bounds=(None,None), initialize=0) m.x24 = Var(within=Reals, bounds=(None,None), initialize=0) m.x25 = Var(within=Reals, bounds=(None,None), initialize=0) m.x26 = Var(within=Reals, bounds=(None,None), initialize=0) m.x27 = Var(within=Reals, bounds=(None,None), initialize=0) m.x28 = Var(within=Reals, bounds=(None,None), initialize=0) m.x29 = Var(within=Reals, bounds=(None,None), initialize=0) m.x30 = Var(within=Reals, bounds=(None,None), initialize=0) m.x31 = Var(within=Reals, bounds=(None,None), initialize=0) m.x32 = Var(within=Reals, bounds=(None,None), initialize=0) m.x33 = Var(within=Reals, bounds=(None,None), initialize=0) m.x34 = Var(within=Reals, bounds=(None,None), initialize=0) m.x35 = Var(within=Reals, bounds=(None,None), initialize=0) m.x36 = Var(within=Reals, bounds=(None,None), initialize=0) m.x37 = Var(within=Reals, bounds=(None,None), initialize=0) m.x38 = Var(within=Reals, bounds=(None,None), initialize=0) m.x39 = Var(within=Reals, bounds=(None,None), initialize=0) m.x40 = Var(within=Reals, bounds=(None,None), initialize=0) m.x41 = Var(within=Reals, bounds=(None,None), initialize=0) m.x42 = Var(within=Reals, bounds=(None,None), initialize=0) m.x43 = Var(within=Reals, bounds=(None,None), initialize=0) m.x44 = Var(within=Reals, bounds=(None,None), initialize=0) m.x45 = Var(within=Reals, bounds=(None,None), initialize=0) m.x46 = Var(within=Reals, bounds=(None,None), initialize=0) m.x47 = Var(within=Reals, bounds=(None,None), initialize=0) m.x48 = Var(within=Reals, bounds=(None,None), initialize=0) m.x49 = Var(within=Reals, bounds=(None,None), initialize=0) m.x50 = Var(within=Reals, bounds=(None,None), initialize=0) m.x51 = Var(within=Reals, bounds=(None,None), initialize=0) m.x52 = Var(within=Reals, bounds=(None,None), initialize=0) m.x53 = Var(within=Reals, bounds=(None,None), initialize=0) m.x54 = Var(within=Reals, bounds=(None,None), initialize=0) m.x55 = Var(within=Reals, bounds=(None,None), initialize=0) m.x56 = Var(within=Reals, bounds=(None,None), initialize=0) m.x57 = Var(within=Reals, bounds=(None,None), initialize=0) m.x58 = Var(within=Reals, bounds=(None,None), initialize=0) m.x59 = Var(within=Reals, bounds=(None,None), initialize=0) m.x60 = Var(within=Reals, bounds=(None,None), initialize=0) m.x61 = Var(within=Reals, bounds=(None,None), initialize=0) m.x62 = Var(within=Reals, bounds=(None,None), initialize=0) m.x63 = Var(within=Reals, bounds=(None,None), initialize=0) m.x64 = Var(within=Reals, bounds=(None,None), initialize=0) m.x65 = Var(within=Reals, bounds=(None,None), initialize=0) m.x66 = Var(within=Reals, bounds=(None,None), initialize=0) m.x67 = Var(within=Reals, bounds=(None,None), initialize=0) m.x68 = Var(within=Reals, bounds=(None,None), initialize=0) m.x69 = Var(within=Reals, bounds=(None,None), initialize=0) m.x70 = Var(within=Reals, bounds=(None,None), initialize=0) m.x71 = Var(within=Reals, bounds=(None,None), initialize=0) m.x72 = Var(within=Reals, bounds=(None,None), initialize=0) m.x73 = Var(within=Reals, bounds=(None,None), initialize=0) m.x74 = Var(within=Reals, bounds=(None,None), initialize=0) m.x75 = Var(within=Reals, bounds=(None,None), initialize=0) m.x76 = Var(within=Reals, bounds=(None,None), initialize=0) m.x77 = Var(within=Reals, bounds=(None,None), initialize=0) m.x78 = Var(within=Reals, bounds=(None,None), initialize=0) m.x79 = Var(within=Reals, bounds=(None,None), initialize=0) m.x80 = Var(within=Reals, bounds=(None,None), initialize=0) m.x81 = Var(within=Reals, bounds=(None,None), initialize=0) m.x82 = Var(within=Reals, bounds=(None,None), initialize=0) m.x83 = Var(within=Reals, bounds=(None,None), initialize=0) m.x84 = Var(within=Reals, bounds=(None,None), initialize=0) m.x85 = Var(within=Reals, bounds=(None,None), initialize=0) m.x86 = Var(within=Reals, bounds=(None,None), initialize=0) m.x87 = Var(within=Reals, bounds=(None,None), initialize=0) m.x88 = Var(within=Reals, bounds=(None,None), initialize=0) m.x89 = Var(within=Reals, bounds=(None,None), initialize=0) m.x90 = Var(within=Reals, bounds=(None,None), initialize=0) m.x91 = Var(within=Reals, bounds=(None,None), initialize=0) m.x92 = Var(within=Reals, bounds=(None,None), initialize=0) m.x93 = Var(within=Reals, bounds=(None,None), initialize=0) m.x94 = Var(within=Reals, bounds=(None,None), initialize=0) m.x95 = Var(within=Reals, bounds=(None,None), initialize=0) m.x96 = Var(within=Reals, bounds=(None,None), initialize=0) m.x97 = Var(within=Reals, bounds=(None,None), initialize=0) m.x98 = Var(within=Reals, bounds=(None,None), initialize=0) m.x99 = Var(within=Reals, bounds=(None,None), initialize=0) m.x100 = Var(within=Reals, bounds=(None,None), initialize=0) m.obj = Objective(sense=minimize, expr= m.x52) m.e1 = Constraint(expr= -tanh(m.x54) + m.x5 == 0) m.e2 = Constraint(expr= -tanh(m.x55) + m.x6 == 0) m.e3 = Constraint(expr= -tanh(m.x56) + m.x7 == 0) m.e4 = Constraint(expr= -tanh(m.x57) + m.x8 == 0) m.e5 = Constraint(expr= -tanh(m.x58) + m.x9 == 0) m.e6 = Constraint(expr= -tanh(m.x59) + m.x10 == 0) m.e7 = Constraint(expr= -tanh(m.x60) + m.x11 == 0) m.e8 = Constraint(expr= -tanh(m.x61) + m.x12 == 0) m.e9 = Constraint(expr= -tanh(m.x62) + m.x13 == 0) m.e10 = Constraint(expr= -tanh(m.x63) + m.x14 == 0) m.e11 = Constraint(expr= -tanh(m.x64) + m.x15 == 0) m.e12 = Constraint(expr= -tanh(m.x65) + m.x16 == 0) m.e13 = Constraint(expr= -tanh(m.x66) + m.x17 == 0) m.e14 = Constraint(expr= -tanh(m.x67) + m.x18 == 0) m.e15 = Constraint(expr= -tanh(m.x68) + m.x19 == 0) m.e16 = Constraint(expr= -tanh(m.x69) + m.x20 == 0) m.e17 = Constraint(expr= -tanh(m.x70) + m.x21 == 0) m.e18 = Constraint(expr= -tanh(m.x71) + m.x22 == 0) m.e19 = Constraint(expr= -tanh(m.x72) + m.x23 == 0) m.e20 = Constraint(expr= -tanh(m.x73) + m.x24 == 0) m.e21 = Constraint(expr= -tanh(m.x74) + m.x25 == 0) m.e22 = Constraint(expr= -tanh(m.x75) + m.x26 == 0) m.e23 = Constraint(expr= -tanh(m.x76) + m.x27 == 0) m.e24 = Constraint(expr= -tanh(m.x77) + m.x28 == 0) m.e25 = Constraint(expr= -tanh(m.x78) + m.x29 == 0) m.e26 = Constraint(expr= -tanh(m.x79) + m.x30 == 0) m.e27 = Constraint(expr= -tanh(m.x80) + m.x31 == 0) m.e28 = Constraint(expr= -tanh(m.x81) + m.x32 == 0) m.e29 = Constraint(expr= -tanh(m.x82) + m.x33 == 0) m.e30 = Constraint(expr= -tanh(m.x83) + m.x34 == 0) m.e31 = Constraint(expr= -tanh(m.x84) + m.x35 == 0) m.e32 = Constraint(expr= -tanh(m.x85) + m.x36 == 0) m.e33 = Constraint(expr= -tanh(m.x86) + m.x37 == 0) m.e34 = Constraint(expr= -tanh(m.x87) + m.x38 == 0) m.e35 = Constraint(expr= -tanh(m.x88) + m.x39 == 0) m.e36 = Constraint(expr= -tanh(m.x89) + m.x40 == 0) m.e37 = Constraint(expr= -tanh(m.x90) + m.x41 == 0) m.e38 = Constraint(expr= -tanh(m.x91) + m.x42 == 0) m.e39 = Constraint(expr= -tanh(m.x92) + m.x43 == 0) m.e40 = Constraint(expr= -tanh(m.x93) + m.x44 == 0) m.e41 = Constraint(expr= -tanh(m.x94) + m.x45 == 0) m.e42 = Constraint(expr= -tanh(m.x95) + m.x46 == 0) m.e43 = Constraint(expr= -tanh(m.x96) + m.x47 == 0) m.e44 = Constraint(expr= -tanh(m.x97) + m.x48 == 0) m.e45 = Constraint(expr= -tanh(m.x98) + m.x49 == 0) m.e46 = Constraint(expr= -tanh(m.x99) + m.x50 == 0) m.e47 = Constraint(expr= -tanh(m.x100) + m.x51 == 0) m.e48 = Constraint(expr= 0.065704 * m.x5 - 0.033719 * m.x6 + 0.76133 * m.x7 - 0.48805 * m.x8 + 0.10716 * m.x9 - 0.12256 * m.x10 - 0.47773 * m.x11 - 1.4593 * m.x12 - 0.12829 * m.x13 - 0.17066 * m.x14 + 0.031784 * m.x15 - 1.0343 * m.x16 + 0.7515 * m.x17 - 0.17572 * m.x18 - 0.89455 * m.x19 + 1.0327 * m.x20 - 0.053874 * m.x21 - 0.32397 * m.x22 - 1.8663 * m.x23 - 0.5493 * m.x24 + 0.60609 * m.x25 - 0.40068 * m.x26 + 0.92391 * m.x27 + 0.93709 * m.x28 + 0.24686 * m.x29 + 1.7127 * m.x30 + 0.30011 * m.x31 + 0.28025 * m.x32 + 0.23534 * m.x33 - 1.205 * m.x34 + 0.50945 * m.x35 + 0.20317 * m.x36 - 0.26555 * m.x37 + 1.6129 * m.x38 + 0.28066 * m.x39 + 0.080875 * m.x40 + 0.26354 * m.x41 - 0.17364 * m.x42 + 0.58227 * m.x43 + 0.15634 * m.x44 - 0.20363 * m.x45 - 0.041905 * m.x46 + 0.43558 * m.x47 - 0.031562 * m.x48 + 1.0758 * m.x49 + 0.96224 * m.x50 - 0.042862 * m.x51 + m.x53 == -0.060465315174905) m.e49 = Constraint(expr= m.x52 - 6.969979437085875 * m.x53 == 0.7601908525553558) m.e50 = Constraint(expr= -0.33393267662969284 * m.x1 + m.x3 == -0.0004457779206294976) m.e51 = Constraint(expr= -0.3345887696749378 * m.x2 + m.x4 == -0.0002029955280284934) m.e52 = Constraint(expr= -9.10703116886844 * m.x3 - 2.94337038212874 * m.x4 + m.x54 == -9.63015944232877) m.e53 = Constraint(expr= 6.93102790414726 * m.x3 - 3.75196310820969 * m.x4 + m.x55 == 7.31017275430626) m.e54 = Constraint(expr= 3.36432203670221 * m.x3 + 0.82525521613015 * m.x4 + m.x56 == 2.98200536306973) m.e55 = Constraint(expr= 1.64194568809983 * m.x3 + 4.48523835606202 * m.x4 + m.x57 == 2.77237105961281) m.e56 = Constraint(expr= -0.00226437988375905 * m.x3 + 4.867765277275 * m.x4 + m.x58 == -4.42497349082323) m.e57 = Constraint(expr= 7.19863262227284 * m.x3 + 1.87895940079179 * m.x4 + m.x59 == 6.25777205138423) m.e58 = Constraint(expr= -0.74811043850941 * m.x3 + 4.20191684807602 * m.x4 + m.x60 == -2.62626886981211) m.e59 = Constraint(expr= 2.65321880831968 * m.x3 + 2.19715149631687 * m.x4 + m.x61 == 1.60241051102647) m.e60 = Constraint(expr= 1.95895703624561 * m.x3 + 6.61501085095858 * m.x4 + m.x62 == -3.21372438941966) m.e61 = Constraint(expr= 0.976462786697995 * m.x3 + 5.4722226686442 * m.x4 + m.x63 == -3.43511278570442) m.e62 = Constraint(expr= 9.05631954225151 * m.x3 - 0.860748840616473 * m.x4 + m.x64 == 6.80778429540444) m.e63 = Constraint(expr= 2.51698650443046 * m.x3 - 1.12325188704783 * m.x4 + m.x65 == 1.46066391523409) m.e64 = Constraint(expr= 2.53263349216247 * m.x3 - 2.83124829526224 * m.x4 + m.x66 == 2.00914786562159) m.e65 = Constraint(expr= 1.64022926216511 * m.x3 - 6.71323991116741 * m.x4 + m.x67 == 2.30586986684063) m.e66 = Constraint(expr= 1.7873770187918 * m.x3 - 3.68278580116741 * m.x4 + m.x68 == 1.39928381929576) m.e67 = Constraint(expr= 4.22195373550896 * m.x3 - 0.396477134417836 * m.x4 + m.x69 == 0.964209592889774) m.e68 = Constraint(expr= 2.41239470358791 * m.x3 - 8.80924154690345 * m.x4 + m.x70 == 4.23134871494298) m.e69 = Constraint(expr= -0.442923139035927 * m.x3 - 5.28020902797231 * m.x4 + m.x71 == 2.04241734851624) m.e70 = Constraint(expr= 3.51805314742391 * m.x3 - 1.30278510763279 * m.x4 + m.x72 == 0.0651561391008471) m.e71 = Constraint(expr= -0.113212023605603 * m.x3 + 4.72324347930784 * m.x4 + m.x73 == -0.853205151783354) m.e72 = Constraint(expr= 3.95665396270945 * m.x3 + 1.27626711582506 * m.x4 + m.x74 == 0.814440074164862) m.e73 = Constraint(expr= 4.7695955444504 * m.x3 + 0.773487861729487 * m.x4 + m.x75 == -0.111247602721831) m.e74 = Constraint(expr= 2.05027781679787 * m.x3 - 2.50975207869453 * m.x4 + m.x76 == 0.0820486511860433) m.e75 = Constraint(expr= 3.66654493886071 * m.x3 + 2.38892762517696 * m.x4 + m.x77 == -0.891390460987188) m.e76 = Constraint(expr= 3.27998735486886 * m.x3 - 2.59050296919374 * m.x4 + m.x78 == -0.739390789012633) m.e77 = Constraint(expr= 1.6153208627896 * m.x3 + 2.33417975474504 * m.x4 + m.x79 == 0.871854475217263) m.e78 = Constraint(expr= -1.11358422125162 * m.x3 - 5.30599002390186 * m.x4 + m.x80 == -1.00704834952813) m.e79 = Constraint(expr= -2.92402686265607 * m.x3 - 2.89613202071523 * m.x4 + m.x81 == -0.232468557606477) m.e80 = Constraint(expr= -1.81867167443697 * m.x3 + 7.33812407332642 * m.x4 + m.x82 == 2.54135224708381) m.e81 = Constraint(expr= 3.10542197925959 * m.x3 + 2.12619668948654 * m.x4 + m.x83 == -0.68717003462119) m.e82 = Constraint(expr= 1.74472150970003 * m.x3 + 4.95282077029394 * m.x4 + m.x84 == -2.17551955892824) m.e83 = Constraint(expr= -2.65152859120729 * m.x3 + 4.38271460759243 * m.x4 + m.x85 == 1.53042126339426) m.e84 = Constraint(expr= 4.1487314966423 * m.x3 + 1.36838462771498 * m.x4 + m.x86 == -2.02423652126007) m.e85 = Constraint(expr= 3.71026588633397 * m.x3 - 0.240322230905286 * m.x4 + m.x87 == -0.902116571066426) m.e86 = Constraint(expr= 0.136858569888465 * m.x3 + 6.22839150715604 * m.x4 + m.x88 == 2.22245776134561) m.e87 = Constraint(expr= -2.29273626384379 * m.x3 + 9.49277618264744 * m.x4 + m.x89 == 4.61447478864626) m.e88 = Constraint(expr= -3.29404103074185 * m.x3 - 4.22870341832834 * m.x4 + m.x90 == 2.65015883530254) m.e89 = Constraint(expr= 0.236622607550426 * m.x3 + 6.32282202964636 * m.x4 + m.x91 == 4.10022407859802) m.e90 = Constraint(expr= -3.50739896377168 * m.x3 + 1.52421925481854 * m.x4 + m.x92 == 1.81299728715722) m.e91 = Constraint(expr= -3.82419999460229 * m.x3 + 3.12341880053042 * m.x4 + m.x93 == 3.64656884309529) m.e92 = Constraint(expr= -3.66913363409212 * m.x3 + 0.319990400846123 * m.x4 + m.x94 == 2.89624962044085) m.e93 = Constraint(expr= -8.1823967031854 * m.x3 - 4.01934818658146 * m.x4 + m.x95 == 7.19040411962699) m.e94 = Constraint(expr= 2.45448375388046 * m.x3 - 4.00420657536838 * m.x4 + m.x96 == -2.8116643770919) m.e95 = Constraint(expr= 6.4400062979969 * m.x3 + 8.07408273005427 * m.x4 + m.x97 == -6.51730187495992) m.e96 = Constraint(expr= -4.28496179289514 * m.x3 + 8.05160576591809 * m.x4 + m.x98 == 9.22764002248408) m.e97 = Constraint(expr= 4.52908595891183 * m.x3 - 8.45807037184382 * m.x4 + m.x99 == -9.71433325733342) m.e98 = Constraint(expr= 9.03003295779029 * m.x3 + 5.87007164848379 * m.x4 + m.x100 == -8.54369465648149)