# MINLP written by GAMS Convert at 02/17/22 17:18:20
#
# 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        0        0       20        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=(-1,2), initialize=0)
m.i2 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i3 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i4 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i5 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i6 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i7 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i8 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i9 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i10 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i11 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i12 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i13 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i14 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i15 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i16 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i17 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i18 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i19 = Var(within=Integers, bounds=(-1,2), initialize=0)
m.i20 = Var(within=Integers, bounds=(-1,2), initialize=0)

m.obj = Objective(sense=minimize, expr= -m.i1 - m.i2 - m.i3 - m.i4 - m.i5 -
    m.i6 - m.i7 - m.i8 - m.i9 - m.i10 - m.i11 - m.i12 - m.i13 - m.i14 - m.i15
    - m.i16 - m.i17 - m.i18 - m.i19 - m.i20)

m.e1 = Constraint(expr= 0.0560877535068921 * m.i19**2 - 0.0560877535068921 *
    m.i19 + 0.0234361418326102 * m.i18**2 - 0.0234361418326102 * m.i18 +
    0.0804348252437088 * m.i17**2 - 0.0804348252437088 * m.i17 +
    0.083180630465482 * m.i16**2 - 0.083180630465482 * m.i16 +
    0.0168840147598981 * m.i15**2 - 0.0168840147598981 * m.i15 +
    0.0642555768399037 * m.i14**2 - 0.0642555768399037 * m.i14 +
    0.0515967329760445 * m.i13**2 - 0.0515967329760445 * m.i13 +
    0.0291406913653282 * m.i12**2 - 0.0291406913653282 * m.i12 +
    0.0358736092274657 * m.i11**2 - 0.0358736092274657 * m.i11 +
    0.0403619397376071 * m.i10**2 - 0.0403619397376071 * m.i10 +
    0.0604484044580273 * m.i9**2 - 0.0604484044580273 * m.i9 +
    0.0534869191762675 * m.i8**2 - 0.0534869191762675 * m.i8 +
    0.0820022096762534 * m.i7**2 - 0.0820022096762534 * m.i7 +
    0.0369575272885052 * m.i6**2 - 0.0369575272885052 * m.i6 +
    0.00889217633273991 * m.i5**2 - 0.00889217633273991 * m.i5 +
    0.0674863595874412 * m.i4**2 - 0.0674863595874412 * m.i4 +
    0.0436989257405813 * m.i3**2 - 0.0436989257405813 * m.i3 +
    0.0218982155241878 * m.i2**2 - 0.0218982155241878 * m.i2 +
    0.0699896991762921 * m.i1**2 - 0.0699896991762921 * m.i1 +
    0.0738876470847639 * m.i20**2 - 0.0738876470847639 * m.i20
    <= -9.99999999999335e-05)