# NLP written by GAMS Convert at 02/17/22 17:19:11
#
# 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
# 13 13 0 0 0 0 0 0
# FX 0
#
# Nonzero counts
# Total const NL
# 29 19 10
#
# 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.x7 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,None), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,None), initialize=0)
m.obj = Objective(sense=minimize, expr= -m.x1 + 10 * m.x2 - m.x3)
m.e1 = Constraint(expr= m.x1 + m.x2 + m.x4 == 1)
m.e2 = Constraint(expr= m.x1 + m.x3 + m.x5 == 1)
m.e3 = Constraint(expr= m.x2 + m.x3 + m.x6 == 1)
m.e4 = Constraint(expr= -m.x2 + m.x7 == 0)
m.e5 = Constraint(expr= -m.x3 + m.x8 == 0)
m.e6 = Constraint(expr= m.x9 * m.x4 == 0)
m.e7 = Constraint(expr= m.x10 * m.x5 == 0)
m.e8 = Constraint(expr= m.x11 * m.x6 == 0)
m.e9 = Constraint(expr= m.x12 * m.x7 == 0)
m.e10 = Constraint(expr= m.x13 * m.x8 == 0)
m.e11 = Constraint(expr= m.x9 + m.x11 - m.x12 == 1)
m.e12 = Constraint(expr= m.x10 + m.x11 - m.x13 == 1)