# MINLP written by GAMS Convert at 02/17/22 17:18:40
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         1        0        0        1        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        40       20        0       20        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        40        0       40
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i2 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i3 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i4 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i5 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i6 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i7 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i8 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i9 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i10 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i11 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i12 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i13 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i14 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i15 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i16 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i17 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i18 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i19 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i20 = Var(within=Integers, bounds=(1,10), initialize=1)
m.x21 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x22 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x23 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x24 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x25 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x26 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x27 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x28 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x29 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x30 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x31 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x32 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x33 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x34 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x35 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x36 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x37 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x38 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x39 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x40 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)

m.obj = Objective(sense=minimize, expr= 1.1 * m.i1 + 1.86 * m.i2 + 0.86 * m.i3
    + 1.23 * m.i4 + 0.72 * m.i5 + 0.47 * m.i6 + 0.98 * m.i7 + 0.39 * m.i8 +
    0.25 * m.i9 + 0.41 * m.i10 + 0.29 * m.i11 + 0.38 * m.i12 + 1.49 * m.i13 +
    1.27 * m.i14 + 0.56 * m.i15 + 1.08 * m.i16 + 1.39 * m.i17 + m.i18 + 1.37 *
    m.i19 + 0.89 * m.i20 + 0.25 * m.x21 + 0.98 * m.x22 + 1.71 * m.x23 + 1.75 *
    m.x24 + 0.54 * m.x25 + 0.42 * m.x26 + 1.13 * m.x27 + 1.28 * m.x28 + 0.83 *
    m.x29 + 0.41 * m.x30 + 1.9 * m.x31 + 0.16 * m.x32 + 0.21 * m.x33 + 0.28 *
    m.x34 + 0.33 * m.x35 + 1.24 * m.x36 + 1.15 * m.x37 + 0.1 * m.x38 + 1.86 *
    m.x39 + 1.46 * m.x40)

m.e1 = Constraint(expr= -0.2 * m.i1**0.035 * m.i2**0.003 * m.i3**0.04 * m.i4**
    0.044 * m.i5**0.046 * m.i6**0.04 * m.i7**0.037 * m.i8**0.024 * m.i9**0.008
    * m.i10**0.019 * m.i11**0.006 * m.i12**0.001 * m.i13**0.044 * m.i14**0.014
    * m.i15**0.014 * m.i16**0.016 * m.i17**0.022 * m.i18**0.03 * m.i19**0.001
    * m.i20**0.039 * m.x21**0.026 * m.x22**0.04 * m.x23**0.016 * m.x24**0.021
    * m.x25**0.003 * m.x26**0.008 * m.x27**0.031 * m.x28**0.015 * m.x29**0.042
    * m.x30**0.006 * m.x31**0.046 * m.x32**0.025 * m.x33**0.033 * m.x34**0.047
    * m.x35**0.013 * m.x36**0.019 * m.x37**0.022 * m.x38**0.036 * m.x39**0.038
    * m.x40**0.005 <= -1)