# MINLP written by GAMS Convert at 02/17/22 17:20:42
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         0        0        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        10        0        0       10        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#         0        0        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i2 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i3 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i4 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i5 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i6 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i7 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i8 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i9 = Var(within=Integers, bounds=(3,9), initialize=5)
m.i10 = Var(within=Integers, bounds=(3,9), initialize=5)

m.obj = Objective(sense=minimize, expr= log(-2 + m.i1)**2 + log(10 - m.i1)**2
    + log(-2 + m.i2)**2 + log(10 - m.i2)**2 + log(-2 + m.i3)**2 + log(10 -
    m.i3)**2 + log(-2 + m.i4)**2 + log(10 - m.i4)**2 + log(-2 + m.i5)**2 + log(
    10 - m.i5)**2 + log(-2 + m.i6)**2 + log(10 - m.i6)**2 + log(-2 + m.i7)**2
    + log(10 - m.i7)**2 + log(-2 + m.i8)**2 + log(10 - m.i8)**2 + log(-2 +
    m.i9)**2 + log(10 - m.i9)**2 + log(-2 + m.i10)**2 + log(10 - m.i10)**2 - (
    m.i1 * m.i2 * m.i3 * m.i4 * m.i5 * m.i6 * m.i7 * m.i8 * m.i9 * m.i10)**0.2)

