# NLP written by GAMS Convert at 02/17/22 17:20:17
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        78       78        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        90       90        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       240      210       30
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x2 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x3 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x4 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x5 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x6 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x7 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x8 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x9 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x10 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x11 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x12 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x13 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x14 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x15 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x16 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x17 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x18 = Var(within=Reals, bounds=(0.0001,None), initialize=1)
m.x19 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x20 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x21 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x22 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x23 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x24 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x25 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x26 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x27 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x28 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x29 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x30 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x31 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x32 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x33 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x34 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x35 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x36 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x37 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x38 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x39 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x40 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x41 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x42 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x43 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x44 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x45 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x46 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x47 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x48 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x49 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x50 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x51 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x52 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x53 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x54 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x55 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x56 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x57 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x58 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x59 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x60 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x61 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x62 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x63 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x64 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x65 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x66 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x67 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x68 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x69 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x70 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x71 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x72 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x73 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x74 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x75 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x76 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x77 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x78 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x79 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x80 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x81 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x82 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x83 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x84 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x85 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x86 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x87 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x88 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x89 = Var(within=Reals, bounds=(None,None), initialize=1)
m.x90 = Var(within=Reals, bounds=(None,None), initialize=1)

m.obj = Objective(sense=minimize, expr= -0.001 * (m.x20 * (464.504 - m.x20) +
    m.x19 * (405522.144 - m.x19) + m.x31 * (405407.292 - m.x31) + m.x22 * (
    349.33 - m.x22) + m.x21 * (555583.632 - m.x21) + m.x33 * (555699.024 -
    m.x33) + m.x24 * (361.078 - m.x24) + m.x23 * (5273.992 - m.x23) + m.x35 * (
    5276.2 - m.x35) + m.x26 * (423.116 - m.x26) + m.x25 * (119974.047 - m.x25)
    + m.x37 * (119997.18 - m.x37) + m.x28 * (464.504 - m.x28) + m.x27 * (
    38980.8 - m.x27) + m.x39 * (39110.4 - m.x39) + m.x32 * (167.578 - m.x32) +
    m.x43 * (405441.072 - m.x43) + m.x34 * (346.51 - m.x34) + m.x45 * (
    555910.576 - m.x45) + m.x36 * (359.834 - m.x36) + m.x47 * (5279.788 - m.x47)
    + m.x38 * (421.17 - m.x38) + m.x49 * (120093.918 - m.x49) + m.x40 * (
    430.508 - m.x40) + m.x51 * (39195.2 - m.x51) + m.x44 * (165.832 - m.x44) +
    m.x55 * (405616.728 - m.x55) + m.x46 * (347.442 - m.x46) + m.x57 * (
    556208.672 - m.x57) + m.x48 * (365.352 - m.x48) + m.x59 * (5281.812 - m.x59)
    + m.x50 * (415.676 - m.x50) + m.x61 * (120148.596 - m.x61) + m.x52 * (
    407.71 - m.x52) + m.x63 * (39305.6 - m.x63) + m.x56 * (160.268 - m.x56) +
    m.x67 * (405832.92 - m.x67) + m.x58 * (357.308 - m.x58) + m.x69 * (
    556449.072 - m.x69) + m.x60 * (371.834 - m.x60) + m.x71 * (5282.916 - m.x71)
    + m.x62 * (412.832 - m.x62) + m.x73 * (120182.244 - m.x73) + m.x64 * (
    372.616 - m.x64) + m.x75 * (39417.6 - m.x75) + m.x68 * (130.69 - m.x68) +
    m.x79 * (405907.236 - m.x79) + m.x70 * (376.02 - m.x70) + m.x81 * (
    556554.848 - m.x81) + m.x72 * (385.136 - m.x72) + m.x83 * (5282.916 - m.x83)
    + m.x74 * (408.6 - m.x74) + m.x85 * (120165.42 - m.x85) + m.x76 * (402.2
    - m.x76) + m.x87 * (39412.8 - m.x87) + m.x80 * (144.01 - m.x80) + m.x82 *
    (387.666 - m.x82) + m.x84 * (393.302 - m.x84) + m.x86 * (408.5 - m.x86) +
    m.x88 * (482.158 - m.x88)) + 734595853.838046)

m.e1 = Constraint(expr= -m.x19 + m.x20 + m.x31 == -22)
m.e2 = Constraint(expr= -m.x20 - m.x21 + m.x22 + m.x33 == -1)
m.e3 = Constraint(expr= -m.x22 - m.x23 + m.x24 + m.x35 == 3)
m.e4 = Constraint(expr= -m.x24 - m.x25 + m.x26 + m.x37 == -27.2)
m.e5 = Constraint(expr= -m.x26 - m.x27 + m.x28 + m.x39 == 51.5)
m.e6 = Constraint(expr= -m.x31 + m.x32 + m.x43 == 44)
m.e7 = Constraint(expr= -m.x32 - m.x33 + m.x34 + m.x45 == 162)
m.e8 = Constraint(expr= -m.x34 - m.x35 + m.x36 + m.x47 == 8)
m.e9 = Constraint(expr= -m.x36 - m.x37 + m.x38 + m.x49 == 12.5)
m.e10 = Constraint(expr= -m.x38 - m.x39 + m.x40 + m.x51 == 53.5)
m.e11 = Constraint(expr= -m.x43 + m.x44 + m.x55 == -11)
m.e12 = Constraint(expr= -m.x44 - m.x45 + m.x46 + m.x57 == 60)
m.e13 = Constraint(expr= -m.x46 - m.x47 + m.x48 + m.x59 == 10)
m.e14 = Constraint(expr= -m.x48 - m.x49 + m.x50 + m.x61 == 18)
m.e15 = Constraint(expr= -m.x50 - m.x51 + m.x52 + m.x63 == 39)
m.e16 = Constraint(expr= -m.x55 + m.x56 + m.x67 == 124)
m.e17 = Constraint(expr= -m.x56 - m.x57 + m.x58 + m.x69 == 246)
m.e18 = Constraint(expr= -m.x58 - m.x59 + m.x60 + m.x71 == 6)
m.e19 = Constraint(expr= -m.x60 - m.x61 + m.x62 + m.x73 == 9.7)
m.e20 = Constraint(expr= -m.x62 - m.x63 + m.x64 + m.x75 == 17.2)
m.e21 = Constraint(expr= -m.x67 + m.x68 + m.x79 == 127)
m.e22 = Constraint(expr= -m.x68 - m.x69 + m.x70 + m.x81 == 175)
m.e23 = Constraint(expr= -m.x70 - m.x71 + m.x72 + m.x83 == 3)
m.e24 = Constraint(expr= -m.x72 - m.x73 + m.x74 + m.x85 == 10)
m.e25 = Constraint(expr= -m.x74 - m.x75 + m.x76 + m.x87 == 30.2)
m.e26 = Constraint(expr= m.x19 - m.x79 + m.x80 == 78)
m.e27 = Constraint(expr= m.x21 - m.x80 - m.x81 + m.x82 == 156)
m.e28 = Constraint(expr= m.x23 - m.x82 - m.x83 + m.x84 == 3)
m.e29 = Constraint(expr= m.x25 - m.x84 - m.x85 + m.x86 == 14)
m.e30 = Constraint(expr= m.x27 - m.x86 - m.x87 + m.x88 == 23.2)
m.e31 = Constraint(expr= 0.0841168 * m.x29**2 * sqrt(m.x1) - m.x22 == 0)
m.e32 = Constraint(expr= 0.1280849 * m.x30**2 * sqrt(m.x2) - m.x24 == 0)
m.e33 = Constraint(expr= 0.2605 * m.x3**2.2 - m.x26 == 0)
m.e34 = Constraint(expr= 0.00103993344426 * m.x21 + 0.1086956521739 * m.x23 -
    m.x29 == 543.4)
m.e35 = Constraint(expr= -m.x1 + 0.002079866888519 * m.x21 - 0.2173913043478 *
    m.x23 == 0)
m.e36 = Constraint(expr= 0.2173913043478 * m.x23 - m.x30 == 543.4)
m.e37 = Constraint(expr= -m.x2 + 0.2173913043478 * m.x23 - 0.009510223490252 *
    m.x25 == 0)
m.e38 = Constraint(expr= -m.x3 + 0.009510223490252 * m.x25 == 550.11)
m.e39 = Constraint(expr= 0.0841168 * m.x41**2 * sqrt(m.x4) - m.x34 == 0)
m.e40 = Constraint(expr= 0.1280849 * m.x42**2 * sqrt(m.x5) - m.x36 == 0)
m.e41 = Constraint(expr= 0.2605 * m.x6**2.2 - m.x38 == 0)
m.e42 = Constraint(expr= 0.00103993344426 * m.x33 + 0.1086956521739 * m.x35 -
    m.x41 == 543.4)
m.e43 = Constraint(expr= -m.x4 + 0.002079866888519 * m.x33 - 0.2173913043478 *
    m.x35 == 0)
m.e44 = Constraint(expr= 0.2173913043478 * m.x35 - m.x42 == 543.4)
m.e45 = Constraint(expr= -m.x5 + 0.2173913043478 * m.x35 - 0.009510223490252 *
    m.x37 == 0)
m.e46 = Constraint(expr= -m.x6 + 0.009510223490252 * m.x37 == 550.11)
m.e47 = Constraint(expr= 0.0841168 * m.x53**2 * sqrt(m.x7) - m.x46 == 0)
m.e48 = Constraint(expr= 0.1280849 * m.x54**2 * sqrt(m.x8) - m.x48 == 0)
m.e49 = Constraint(expr= 0.2605 * m.x9**2.2 - m.x50 == 0)
m.e50 = Constraint(expr= 0.00103993344426 * m.x45 + 0.1086956521739 * m.x47 -
    m.x53 == 543.4)
m.e51 = Constraint(expr= -m.x7 + 0.002079866888519 * m.x45 - 0.2173913043478 *
    m.x47 == 0)
m.e52 = Constraint(expr= 0.2173913043478 * m.x47 - m.x54 == 543.4)
m.e53 = Constraint(expr= -m.x8 + 0.2173913043478 * m.x47 - 0.009510223490252 *
    m.x49 == 0)
m.e54 = Constraint(expr= -m.x9 + 0.009510223490252 * m.x49 == 550.11)
m.e55 = Constraint(expr= 0.0841168 * m.x65**2 * sqrt(m.x10) - m.x58 == 0)
m.e56 = Constraint(expr= 0.1280849 * m.x66**2 * sqrt(m.x11) - m.x60 == 0)
m.e57 = Constraint(expr= 0.2605 * m.x12**2.2 - m.x62 == 0)
m.e58 = Constraint(expr= 0.00103993344426 * m.x57 + 0.1086956521739 * m.x59 -
    m.x65 == 543.4)
m.e59 = Constraint(expr= -m.x10 + 0.002079866888519 * m.x57 - 0.2173913043478 *
    m.x59 == 0)
m.e60 = Constraint(expr= 0.2173913043478 * m.x59 - m.x66 == 543.4)
m.e61 = Constraint(expr= -m.x11 + 0.2173913043478 * m.x59 - 0.009510223490252 *
    m.x61 == 0)
m.e62 = Constraint(expr= -m.x12 + 0.009510223490252 * m.x61 == 550.11)
m.e63 = Constraint(expr= 0.0841168 * m.x77**2 * sqrt(m.x13) - m.x70 == 0)
m.e64 = Constraint(expr= 0.1280849 * m.x78**2 * sqrt(m.x14) - m.x72 == 0)
m.e65 = Constraint(expr= 0.2605 * m.x15**2.2 - m.x74 == 0)
m.e66 = Constraint(expr= 0.00103993344426 * m.x69 + 0.1086956521739 * m.x71 -
    m.x77 == 543.4)
m.e67 = Constraint(expr= -m.x13 + 0.002079866888519 * m.x69 - 0.2173913043478 *
    m.x71 == 0)
m.e68 = Constraint(expr= 0.2173913043478 * m.x71 - m.x78 == 543.4)
m.e69 = Constraint(expr= -m.x14 + 0.2173913043478 * m.x71 - 0.009510223490252 *
    m.x73 == 0)
m.e70 = Constraint(expr= -m.x15 + 0.009510223490252 * m.x73 == 550.11)
m.e71 = Constraint(expr= 0.0841168 * m.x89**2 * sqrt(m.x16) - m.x82 == 0)
m.e72 = Constraint(expr= 0.1280849 * m.x90**2 * sqrt(m.x17) - m.x84 == 0)
m.e73 = Constraint(expr= 0.2605 * m.x18**2.2 - m.x86 == 0)
m.e74 = Constraint(expr= 0.00103993344426 * m.x81 + 0.1086956521739 * m.x83 -
    m.x89 == 543.4)
m.e75 = Constraint(expr= -m.x16 + 0.002079866888519 * m.x81 - 0.2173913043478 *
    m.x83 == 0)
m.e76 = Constraint(expr= 0.2173913043478 * m.x83 - m.x90 == 543.4)
m.e77 = Constraint(expr= -m.x17 + 0.2173913043478 * m.x83 - 0.009510223490252 *
    m.x85 == 0)
m.e78 = Constraint(expr= -m.x18 + 0.009510223490252 * m.x85 == 550.11)
