# MINLP written by GAMS Convert at 02/17/22 17:18:40
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#        41        0        0       41        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        80       60        0       20        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       120       80       40
#
# Reformulation has removed 1 variable and 1 equation

from pyomo.environ import *

model = m = ConcreteModel()

m.i1 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i2 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i3 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i4 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i5 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i6 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i7 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i8 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i9 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i10 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i11 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i12 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i13 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i14 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i15 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i16 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i17 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i18 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i19 = Var(within=Integers, bounds=(1,10), initialize=1)
m.i20 = Var(within=Integers, bounds=(1,10), initialize=1)
m.x21 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x22 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x23 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x24 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x25 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x26 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x27 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x28 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x29 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x30 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x31 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x32 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x33 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x34 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x35 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x36 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x37 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x38 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x39 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x40 = Var(within=Reals, bounds=(1e-05,10), initialize=1e-05)
m.x41 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x42 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x43 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x44 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x45 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x46 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x47 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x48 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x49 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x50 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x51 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x52 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x53 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x54 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x55 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x56 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x57 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x58 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x59 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x60 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x61 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x62 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x63 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x64 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x65 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x66 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x67 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x68 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x69 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x70 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x71 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x72 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x73 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x74 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x75 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x76 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x77 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x78 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x79 = Var(within=Reals, bounds=(None,None), initialize=0)
m.x80 = Var(within=Reals, bounds=(None,None), initialize=0)

m.obj = Objective(sense=minimize, expr= 1.1 * m.i1 + 1.86 * m.i2 + 0.86 * m.i3
    + 1.23 * m.i4 + 0.72 * m.i5 + 0.47 * m.i6 + 0.98 * m.i7 + 0.39 * m.i8 +
    0.25 * m.i9 + 0.41 * m.i10 + 0.29 * m.i11 + 0.38 * m.i12 + 1.49 * m.i13 +
    1.27 * m.i14 + 0.56 * m.i15 + 1.08 * m.i16 + 1.39 * m.i17 + m.i18 + 1.37 *
    m.i19 + 0.89 * m.i20 + 0.25 * m.x21 + 0.98 * m.x22 + 1.71 * m.x23 + 1.75 *
    m.x24 + 0.54 * m.x25 + 0.42 * m.x26 + 1.13 * m.x27 + 1.28 * m.x28 + 0.83 *
    m.x29 + 0.41 * m.x30 + 1.9 * m.x31 + 0.16 * m.x32 + 0.21 * m.x33 + 0.28 *
    m.x34 + 0.33 * m.x35 + 1.24 * m.x36 + 1.15 * m.x37 + 0.1 * m.x38 + 1.86 *
    m.x39 + 1.46 * m.x40)

m.e1 = Constraint(expr= m.x41 + m.x42 + m.x43 + m.x44 + m.x45 + m.x46 + m.x47
    + m.x48 + m.x49 + m.x50 + m.x51 + m.x52 + m.x53 + m.x54 + m.x55 + m.x56 +
    m.x57 + m.x58 + m.x59 + m.x60 + m.x61 + m.x62 + m.x63 + m.x64 + m.x65 +
    m.x66 + m.x67 + m.x68 + m.x69 + m.x70 + m.x71 + m.x72 + m.x73 + m.x74 +
    m.x75 + m.x76 + m.x77 + m.x78 + m.x79 + m.x80 <= -1.6094379124341)
m.e2 = Constraint(expr= -0.035 * log(m.i1) - m.x41 <= 0)
m.e3 = Constraint(expr= -0.003 * log(m.i2) - m.x42 <= 0)
m.e4 = Constraint(expr= -0.04 * log(m.i3) - m.x43 <= 0)
m.e5 = Constraint(expr= -0.044 * log(m.i4) - m.x44 <= 0)
m.e6 = Constraint(expr= -0.046 * log(m.i5) - m.x45 <= 0)
m.e7 = Constraint(expr= -0.04 * log(m.i6) - m.x46 <= 0)
m.e8 = Constraint(expr= -0.037 * log(m.i7) - m.x47 <= 0)
m.e9 = Constraint(expr= -0.024 * log(m.i8) - m.x48 <= 0)
m.e10 = Constraint(expr= -0.008 * log(m.i9) - m.x49 <= 0)
m.e11 = Constraint(expr= -0.019 * log(m.i10) - m.x50 <= 0)
m.e12 = Constraint(expr= -0.006 * log(m.i11) - m.x51 <= 0)
m.e13 = Constraint(expr= -0.001 * log(m.i12) - m.x52 <= 0)
m.e14 = Constraint(expr= -0.044 * log(m.i13) - m.x53 <= 0)
m.e15 = Constraint(expr= -0.014 * log(m.i14) - m.x54 <= 0)
m.e16 = Constraint(expr= -0.014 * log(m.i15) - m.x55 <= 0)
m.e17 = Constraint(expr= -0.016 * log(m.i16) - m.x56 <= 0)
m.e18 = Constraint(expr= -0.022 * log(m.i17) - m.x57 <= 0)
m.e19 = Constraint(expr= -0.03 * log(m.i18) - m.x58 <= 0)
m.e20 = Constraint(expr= -0.001 * log(m.i19) - m.x59 <= 0)
m.e21 = Constraint(expr= -0.039 * log(m.i20) - m.x60 <= 0)
m.e22 = Constraint(expr= -0.026 * log(m.x21) - m.x61 <= 0)
m.e23 = Constraint(expr= -0.04 * log(m.x22) - m.x62 <= 0)
m.e24 = Constraint(expr= -0.016 * log(m.x23) - m.x63 <= 0)
m.e25 = Constraint(expr= -log(m.x24**0.021) - m.x64 <= 0)
m.e26 = Constraint(expr= -log(m.x25**0.003) - m.x65 <= 0)
m.e27 = Constraint(expr= -0.008 * log(m.x26) - m.x66 <= 0)
m.e28 = Constraint(expr= -0.031 * log(m.x27) - m.x67 <= 0)
m.e29 = Constraint(expr= -0.015 * log(m.x28) - m.x68 <= 0)
m.e30 = Constraint(expr= -0.042 * log(m.x29) - m.x69 <= 0)
m.e31 = Constraint(expr= -0.006 * log(m.x30) - m.x70 <= 0)
m.e32 = Constraint(expr= -0.046 * log(m.x31) - m.x71 <= 0)
m.e33 = Constraint(expr= -0.025 * log(m.x32) - m.x72 <= 0)
m.e34 = Constraint(expr= -0.033 * log(m.x33) - m.x73 <= 0)
m.e35 = Constraint(expr= -0.047 * log(m.x34) - m.x74 <= 0)
m.e36 = Constraint(expr= -0.013 * log(m.x35) - m.x75 <= 0)
m.e37 = Constraint(expr= -0.019 * log(m.x36) - m.x76 <= 0)
m.e38 = Constraint(expr= -0.022 * log(m.x37) - m.x77 <= 0)
m.e39 = Constraint(expr= -0.036 * log(m.x38) - m.x78 <= 0)
m.e40 = Constraint(expr= -0.038 * log(m.x39) - m.x79 <= 0)
m.e41 = Constraint(expr= -0.005 * log(m.x40) - m.x80 <= 0)