# MINLP written by GAMS Convert at 02/17/22 17:22:53
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         6        0        0        6        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         4        2        2        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        12       12        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.b1 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b2 = Var(within=Binary, bounds=(0,1), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,6), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,5), initialize=0)

m.obj = Objective(sense=minimize, expr= -m.x3**2 + 4 * m.x3 - m.x4**2 + 2 *
    m.x4 + 2 * m.b1 + 2 * m.b2 + 2)

m.e1 = Constraint(expr= -m.x3 + 3 * m.x4 <= 5)
m.e2 = Constraint(expr= 2 * m.x3 - m.x4 <= 5)
m.e3 = Constraint(expr= -2 * m.x3 + m.x4 <= 0)
m.e4 = Constraint(expr= m.x3 - 3 * m.x4 <= 0)
m.e5 = Constraint(expr= -6 * m.b1 + m.x3 <= 0)
m.e6 = Constraint(expr= -5 * m.b2 + m.x4 <= 0)