# NLP written by GAMS Convert at 02/17/22 17:19:07
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         2        0        0        2        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         2        2        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#         4        2        2
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,3), initialize=2.3295)
m.x2 = Var(within=Reals, bounds=(0,4), initialize=3.17846)

m.obj = Objective(sense=minimize, expr= -m.x1 - m.x2)

m.e1 = Constraint(expr= 8 * m.x1**3 - 2 * m.x1**4 - 8 * m.x1**2 + m.x2 <= 2)
m.e2 = Constraint(expr= 32 * m.x1**3 - 4 * m.x1**4 - 88 * m.x1**2 + 96 * m.x1
    + m.x2 <= 36)