# MINLP written by GAMS Convert at 02/17/22 17:18:21
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        19        6       12        1        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        19       10        9        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        46       42        4
#
# 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.b3 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b4 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b5 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b6 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b7 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b8 = Var(within=Binary, bounds=(0,1), initialize=0)
m.b9 = Var(within=Binary, bounds=(0,1), initialize=0)
m.x10 = Var(within=Reals, bounds=(5.52146091786225,7.82404601085629)
    , initialize=6.70502272492805)
m.x11 = Var(within=Reals, bounds=(5.52146091786225,7.82404601085629)
    , initialize=7.11048783303622)
m.x12 = Var(within=Reals, bounds=(5.52146091786225,7.82404601085629)
    , initialize=7.30700912709102)
m.x13 = Var(within=Reals, bounds=(5.40367788220586,6.4377516497364)
    , initialize=5.92071476597113)
m.x14 = Var(within=Reals, bounds=(4.60517018598809,6.03228654162824)
    , initialize=5.31872836380816)
m.x15 = Var(within=Reals, bounds=(1.89711998488588,2.99573227355399)
    , initialize=1.89711998488588)
m.x16 = Var(within=Reals, bounds=(1.38629436111989,2.484906649788)
    , initialize=1.38629436111989)
m.x17 = Var(within=Reals, bounds=(0,1.09861228866811), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,1.09861228866811), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,1.09861228866811), initialize=0)

m.obj = Objective(sense=minimize, expr= 250 * exp(0.6 * m.x10 + m.x17) + 500 *
    exp(0.6 * m.x11 + m.x18) + 340 * exp(0.6 * m.x12 + m.x19))

m.e1 = Constraint(expr= m.x10 - m.x13 >= 0.693147180559945)
m.e2 = Constraint(expr= m.x11 - m.x13 >= 1.09861228866811)
m.e3 = Constraint(expr= m.x12 - m.x13 >= 1.38629436111989)
m.e4 = Constraint(expr= m.x10 - m.x14 >= 1.38629436111989)
m.e5 = Constraint(expr= m.x11 - m.x14 >= 1.79175946922805)
m.e6 = Constraint(expr= m.x12 - m.x14 >= 1.09861228866811)
m.e7 = Constraint(expr= m.x15 + m.x17 >= 2.07944154167984)
m.e8 = Constraint(expr= m.x15 + m.x18 >= 2.99573227355399)
m.e9 = Constraint(expr= m.x15 + m.x19 >= 1.38629436111989)
m.e10 = Constraint(expr= m.x16 + m.x17 >= 2.30258509299405)
m.e11 = Constraint(expr= m.x16 + m.x18 >= 2.484906649788)
m.e12 = Constraint(expr= m.x16 + m.x19 >= 1.09861228866811)
m.e13 = Constraint(expr= 2e+05 * exp(-m.x13 + m.x15) + 1.5e+05 * exp(-m.x14 +
    m.x16) <= 6000)
m.e14 = Constraint(expr= -0.693147180559945 * m.b4 - 1.09861228866811 * m.b7 +
    m.x17 == 0)
m.e15 = Constraint(expr= -0.693147180559945 * m.b5 - 1.09861228866811 * m.b8 +
    m.x18 == 0)
m.e16 = Constraint(expr= -0.693147180559945 * m.b6 - 1.09861228866811 * m.b9 +
    m.x19 == 0)
m.e17 = Constraint(expr= m.b1 + m.b4 + m.b7 == 1)
m.e18 = Constraint(expr= m.b2 + m.b5 + m.b8 == 1)
m.e19 = Constraint(expr= m.b3 + m.b6 + m.b9 == 1)