# NLP written by GAMS Convert at 02/17/22 17:19:10
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        12       12        0        0        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        17       17        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        48       24       24
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(4,6), initialize=4.343494264)
m.x2 = Var(within=Reals, bounds=(-6,-4), initialize=-4.313466584)
m.x3 = Var(within=Reals, bounds=(2,4), initialize=3.100750712)
m.x4 = Var(within=Reals, bounds=(-3,-1), initialize=-2.397724192)
m.x5 = Var(within=Reals, bounds=(1,3), initialize=1.584424234)
m.x6 = Var(within=Reals, bounds=(-2,0), initialize=-1.551894266)
m.x7 = Var(within=Reals, bounds=(0.5,2.5), initialize=1.199661008)
m.x8 = Var(within=Reals, bounds=(-1.5,0.5), initialize=0.212540694)
m.x9 = Var(within=Reals, bounds=(0.2,2.2), initialize=0.334227446)
m.x10 = Var(within=Reals, bounds=(-1.2,0.8), initialize=-0.199578662)
m.x11 = Var(within=Reals, bounds=(0.1,2.1), initialize=2.096235254)
m.x12 = Var(within=Reals, bounds=(-1.1,0.9), initialize=0.057466756)
m.x13 = Var(within=Reals, bounds=(0,1), initialize=0.991133039)
m.x14 = Var(within=Reals, bounds=(0,1), initialize=0.762250467)
m.x15 = Var(within=Reals, bounds=(1.1,1.3), initialize=1.1261384966)
m.x16 = Var(within=Reals, bounds=(0,1), initialize=0.639718759)
m.x17 = Var(within=Reals, bounds=(0,1), initialize=0.159517864)

m.obj = Objective(sense=minimize, expr= (-5 + m.x1)**2 + (5 + m.x2)**2 + (-3 +
    m.x3)**2 + (2 + m.x4)**2 + (-2 + m.x5)**2 + (1 + m.x6)**2 + (-1.5 + m.x7)**
    2 + (0.5 + m.x8)**2 + (-1.2 + m.x9)**2 + (0.2 + m.x10)**2 + (-1.1 + m.x11)
    **2 + (0.1 + m.x12)**2)

m.e1 = Constraint(expr= m.x14 / 0.1570795**m.x15 - m.x1 + m.x13 == 0)
m.e2 = Constraint(expr= m.x14 / 0.314159**m.x15 - m.x3 + m.x13 == 0)
m.e3 = Constraint(expr= m.x14 / 0.4712385**m.x15 - m.x5 + m.x13 == 0)
m.e4 = Constraint(expr= m.x14 / 0.628318**m.x15 - m.x7 + m.x13 == 0)
m.e5 = Constraint(expr= m.x14 / 0.7853975**m.x15 - m.x9 + m.x13 == 0)
m.e6 = Constraint(expr= m.x14 / 0.942477**m.x15 - m.x11 + m.x13 == 0)
m.e7 = Constraint(expr= -m.x17 / 0.1570795**m.x15 - m.x2 + 0.1570795 * m.x16
    == 0)
m.e8 = Constraint(expr= -m.x17 / 0.314159**m.x15 - m.x4 + 0.314159 * m.x16
    == 0)
m.e9 = Constraint(expr= -m.x17 / 0.4712385**m.x15 - m.x6 + 0.4712385 * m.x16
    == 0)
m.e10 = Constraint(expr= -m.x17 / 0.628318**m.x15 - m.x8 + 0.628318 * m.x16
    == 0)
m.e11 = Constraint(expr= -m.x17 / 0.7853975**m.x15 - m.x10 + 0.7853975 * m.x16
    == 0)
m.e12 = Constraint(expr= -m.x17 / 0.942477**m.x15 - m.x12 + 0.942477 * m.x16
    == 0)