#  MINLP written by GAMS Convert at 05/15/20 00:50:54
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          4        1        3        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#          4        1        0        3        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         13        1       12        0
# 
#  Reformulation has removed 1 variable and 1 equation


from pyomo.environ import *

model = m = ConcreteModel()


m.i1 = Var(within=Integers,bounds=(0,200),initialize=1)
m.i2 = Var(within=Integers,bounds=(0,200),initialize=1)
m.i3 = Var(within=Integers,bounds=(0,200),initialize=1)

m.obj = Objective(expr=7*m.i1**2 + 6*m.i2**2 - 15.8*m.i1 - 93.2*m.i2 + 8*m.i3**2 - 6*m.i3*m.i1 + 4*m.i3*m.i2 - 63*m.i3
                       , sense=minimize)

m.c1 = Constraint(expr=(-9*m.i1**2) - 10*m.i1*m.i2 - 8*m.i2**2 - 5*m.i3**2 - 6*m.i3*m.i1 - 10*m.i3*m.i2 >= -1000)

m.c2 = Constraint(expr=(-6*m.i1**2) - 8*m.i1*m.i2 - 6*m.i2**2 - 4*m.i3**2 - 2*m.i3*m.i1 - 2*m.i3*m.i2 >= -550)

m.c3 = Constraint(expr=(-9*m.i1**2) - 6*m.i2**2 - 8*m.i3**2 + 2*m.i2*m.i1 + 2*m.i3*m.i2 >= -340)
