# MINLP written by GAMS Convert at 02/17/22 17:18:39
#
# 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=(0,5), initialize=0)
m.i2 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i3 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i4 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i5 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i6 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i7 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i8 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i9 = Var(within=Integers, bounds=(0,5), initialize=0)
m.i10 = Var(within=Integers, bounds=(0,5), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x14 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x15 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,5), initialize=0)
m.x20 = Var(within=Reals, bounds=(0,5), initialize=0)

m.obj = Objective(sense=minimize, expr= -0.175 * m.i1 - 0.39 * m.i2 - 0.83 *
    m.i3 - 0.805 * m.i4 - 0.06 * m.i5 - 0.4 * m.i6 - 0.52 * m.i7 - 0.415 * m.i8
    - 0.655 * m.i9 - 0.63 * m.i10 - 0.29 * m.x11 - 0.43 * m.x12 - 0.015 *
    m.x13 - 0.985 * m.x14 - 0.165 * m.x15 - 0.105 * m.x16 - 0.37 * m.x17 - 0.2
    * m.x18 - 0.49 * m.x19 - 0.34 * m.x20)

m.e1 = Constraint(expr= sqrt(m.i1**2 + m.i2**2 + m.i3**2 + m.i4**2 + m.i5**2 +
    m.i6**2 + m.i7**2 + m.i8**2 + m.i9**2 + m.i10**2 + m.x11**2 + m.x12**2 +
    m.x13**2 + m.x14**2 + m.x15**2 + m.x16**2 + m.x17**2 + m.x18**2 + m.x19**2
    + m.x20**2 + 0.0001) <= 10)