# MINLP written by GAMS Convert at 02/17/22 17:20:42
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         7        3        0        4        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#         9        6        3        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#        16       14        2
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.x1 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,None), 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.obj = Objective(sense=minimize, expr= 1.8 * m.x1 + 1.8 * m.x2 + 7 * m.x3 +
    m.x4 + 1.2 * m.x5 - 11 * m.x6 + 3.5 * m.b7 + m.b8 + 1.5 * m.b9)

m.e1 = Constraint(expr= -log(1 + m.x1) + m.x4 == 0)
m.e2 = Constraint(expr= -1.2 * log(1 + m.x2) + m.x5 == 0)
m.e3 = Constraint(expr= -0.9 * m.x3 - 0.9 * m.x4 - 0.9 * m.x5 + m.x6 == 0)
m.e4 = Constraint(expr= m.x6 - m.b7 <= 0)
m.e5 = Constraint(expr= m.x4 - 1.111111 * m.b8 <= 0)
m.e6 = Constraint(expr= m.x5 - 1.111111 * m.b9 <= 0)
m.e7 = Constraint(expr= m.b8 + m.b9 <= 1)