# NLP written by GAMS Convert at 03/03/22 14:44:47
#
# 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
#         3        3        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#         3        3        0
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,1), initialize=0)

m.obj = Objective(sense=minimize, expr= 9 * m.x1 * m.x1 - 15 * m.x1 + 9 * m.x2
    * m.x2 - 12 * m.x2 + 9 * m.x3 * m.x3 - 9 * m.x3)

m.e1 = Constraint(expr= m.x1 + m.x2 + m.x3 <= 1e+10)