# 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
#        20       10        0       10        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        20        0       20
#
# 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.x11 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x12 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x13 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x14 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x15 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x16 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x17 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x18 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x19 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x20 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)

m.obj = Objective(sense=minimize, expr= 1.5 * m.i1 + 0.51 * m.i2 + 1.01 * m.i3
    + 1.4 * m.i4 + 1.78 * m.i5 + 1.92 * m.i6 + 1.09 * m.i7 + 0.48 * m.i8 +
    0.67 * m.i9 + 0.52 * m.i10 + 1.68 * m.x11 + 0.51 * m.x12 + 1.63 * m.x13 +
    0.49 * m.x14 + 1.86 * m.x15 + 0.7 * m.x16 + 0.39 * m.x17 + 0.5 * m.x18 +
    1.23 * m.x19 + 0.95 * m.x20)

m.e1 = Constraint(expr= -0.2 * m.i1**0.065 * m.i2**0.004 * m.i3**0.084 * m.i4**
    0.093 * m.i5**0.06 * m.i6**0.075 * m.i7**0.074 * m.i8**0.039 * m.i9**0.065
    * m.i10**0.017 * m.x11**0.07 * m.x12**0.03 * m.x13**0.028 * m.x14**0.005
    * m.x15**0.01 * m.x16**0.082 * m.x17**0.069 * m.x18**0.032 * m.x19**0.095
    * m.x20**0.003 <= -1)