# NLP written by GAMS Convert at 03/03/22 14:42:56
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        12        9        1        2        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        13       13        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        38       10       28
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(1,16), initialize=6)
m.x2 = Var(within=Reals, bounds=(1,16), initialize=5)
m.x3 = Var(within=Reals, bounds=(1,16), initialize=6)
m.x4 = Var(within=Reals, bounds=(1,16), initialize=3)
m.x5 = Var(within=Reals, bounds=(1,1000), initialize=1000)
m.x6 = Var(within=Reals, bounds=(0.0001,None), initialize=1.6)
m.x7 = Var(within=Reals, bounds=(0.0001,None), initialize=0.3)
m.x8 = Var(within=Reals, bounds=(1,None), initialize=1)
m.x9 = Var(within=Reals, bounds=(None,50), initialize=50)
m.x10 = Var(within=Reals, bounds=(100,None), initialize=600)
m.x11 = Var(within=Reals, bounds=(1,None), initialize=1)
m.x12 = Var(within=Reals, bounds=(0.0001,None), initialize=0.0001)
m.x13 = Var(within=Reals, bounds=(0.01,None), initialize=0.01)

m.obj = Objective(sense=minimize, expr= m.x6 + m.x7)

m.e1 = Constraint(expr= -1.42857142857143 * m.x4 * m.x5 + 1e+04 * m.x7 == 0)
m.e2 = Constraint(expr= 10 * m.x6 * m.x8 - 0.00968946189201592 * (m.x1**4 -
    m.x2**4) * m.x3 == 0)
m.e3 = Constraint(expr= 143.3076 * m.x9 * m.x4 - 1e+04 * m.x6 == 0)
m.e4 = Constraint(expr= 3.1415927 * (0.001 * m.x8)**3 * m.x5 - 6e-06 * m.x3 *
    m.x4 * m.x12 == 0)
m.e5 = Constraint(expr= 101000 * m.x11 * m.x12 - 1.57079635 * m.x5 * m.x13
    == 0)
m.e6 = Constraint(expr= log10(0.8 + 8.112 * m.x3) - 10964781961.4318 * m.x10**(
    -3.55) == 0)
m.e7 = Constraint(expr= -0.5 * m.x9 + m.x10 == 560)
m.e8 = Constraint(expr= m.x1 - m.x2 >= 0)
m.e9 = Constraint(expr= 0.0307 * m.x4**2 - 0.3864 * (0.0062831854 * m.x1 * m.x8)
    **2 * m.x5 <= 0)
m.e10 = Constraint(expr= 101000 * m.x11 - 15707.9635 * m.x13 <= 0)
m.e11 = Constraint(expr= -log(m.x1) + log(m.x2) + m.x12 == 0)
m.e12 = Constraint(expr= -m.x1**2 + m.x2**2 + m.x13 == 0)