# NLP written by GAMS Convert at 02/17/22 17:21:47
#
# Equation counts
# Total E G L N X C B
# 77 42 0 35 0 0 0 0
#
# Variable counts
# x b i s1s s2s sc si
# Total cont binary integer sos1 sos2 scont sint
# 58 58 0 0 0 0 0 0
# FX 0
#
# Nonzero counts
# Total const NL
# 391 311 80
#
# Reformulation has removed 1 variable and 1 equation
from pyomo.environ import *
model = m = ConcreteModel()
m.x1 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x2 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x3 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x4 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x5 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x6 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x7 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x8 = Var(within=Reals, bounds=(0,1), initialize=0)
m.x9 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x10 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x11 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x12 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x13 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x14 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x15 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x16 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x17 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x18 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x19 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x20 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x21 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x22 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x23 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x24 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x25 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x26 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x27 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x28 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x29 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x30 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x31 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x32 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x33 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x34 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x35 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x36 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x37 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x38 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x39 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x40 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x41 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x42 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x43 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x44 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x45 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x46 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x47 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x48 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x49 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x50 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x51 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x52 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x53 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x54 = Var(within=Reals, bounds=(0,15), initialize=0)
m.x55 = Var(within=Reals, bounds=(0,25), initialize=0)
m.x56 = Var(within=Reals, bounds=(0,10), initialize=0)
m.x57 = Var(within=Reals, bounds=(0,20), initialize=0)
m.x58 = Var(within=Reals, bounds=(0,15), initialize=0)
m.obj = Objective(sense=minimize, expr= 5 * m.x19 - 10 * m.x20 - 15 * m.x21 + 9
* m.x22 + 5 * m.x23 - 3 * m.x24 - 18 * m.x25 - 23 * m.x26 + m.x27 - 3 *
m.x28 - 6 * m.x29 - 21 * m.x30 - 26 * m.x31 - 2 * m.x32 - 6 * m.x33 - 5 *
m.x34 - 20 * m.x35 - 25 * m.x36 - m.x37 - 5 * m.x38 - 4 * m.x39 - 19 *
m.x40 - 24 * m.x41 - 4 * m.x43 - 7 * m.x44 - 22 * m.x45 - 27 * m.x46 - 3 *
m.x47 - 7 * m.x48 - 5 * m.x49 - 20 * m.x50 - 25 * m.x51 - m.x52 - 5 * m.x53
- 5 * m.x54 - 20 * m.x55 - 25 * m.x56 - m.x57 - 5 * m.x58)
m.e1 = Constraint(expr= m.x19 + m.x20 + m.x21 + m.x22 + m.x23 <= 85)
m.e2 = Constraint(expr= m.x24 + m.x25 + m.x26 + m.x27 + m.x28 <= 85)
m.e3 = Constraint(expr= m.x29 + m.x30 + m.x31 + m.x32 + m.x33 <= 85)
m.e4 = Constraint(expr= m.x34 + m.x35 + m.x36 + m.x37 + m.x38 <= 85)
m.e5 = Constraint(expr= m.x39 + m.x40 + m.x41 + m.x42 + m.x43 <= 85)
m.e6 = Constraint(expr= m.x44 + m.x45 + m.x46 + m.x47 + m.x48 <= 85)
m.e7 = Constraint(expr= m.x49 + m.x50 + m.x51 + m.x52 + m.x53 <= 85)
m.e8 = Constraint(expr= m.x54 + m.x55 + m.x56 + m.x57 + m.x58 <= 85)
m.e9 = Constraint(expr= m.x19 + m.x20 + m.x21 + m.x22 + m.x23 + m.x24 + m.x25
+ m.x26 + m.x27 + m.x28 + m.x29 + m.x30 + m.x31 + m.x32 + m.x33 + m.x34 +
m.x35 + m.x36 + m.x37 + m.x38 <= 85)
m.e10 = Constraint(expr= m.x39 + m.x40 + 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 <= 85)
m.e11 = Constraint(expr= m.x19 + m.x24 + m.x29 + m.x34 + m.x39 + m.x44 + m.x49
+ m.x54 <= 15)
m.e12 = Constraint(expr= m.x20 + m.x25 + m.x30 + m.x35 + m.x40 + m.x45 + m.x50
+ m.x55 <= 25)
m.e13 = Constraint(expr= m.x21 + m.x26 + m.x31 + m.x36 + m.x41 + m.x46 + m.x51
+ m.x56 <= 10)
m.e14 = Constraint(expr= m.x22 + m.x27 + m.x32 + m.x37 + m.x42 + m.x47 + m.x52
+ m.x57 <= 20)
m.e15 = Constraint(expr= m.x23 + m.x28 + m.x33 + m.x38 + m.x43 + m.x48 + m.x53
+ m.x58 <= 15)
m.e16 = Constraint(expr= -0.7 * m.x19 + 0.2 * m.x24 + 0.3 * m.x34 + 0.4 * m.x39
+ 0.3 * m.x49 + 0.2 * m.x54 <= 0)
m.e17 = Constraint(expr= 0.2 * m.x19 + 0.1 * m.x24 + 0.2 * m.x29 - 0.5 * m.x34
+ 0.1 * m.x39 - 0.6 * m.x44 - 0.2 * m.x49 - 0.0999999999999999 * m.x54
<= 0)
m.e18 = Constraint(expr= -0.0999999999999999 * m.x19 + 0.3 * m.x24 + 0.3 *
m.x34 + 0.2 * m.x39 + 0.1 * m.x49 - 0.2 * m.x54 <= 0)
m.e19 = Constraint(expr= -0.7 * m.x19 - 0.0999999999999999 * m.x24 - 0.3 *
m.x29 - 0.4 * m.x34 + 0.3 * m.x39 + 0.3 * m.x44 - 0.2 * m.x49 -
0.0999999999999999 * m.x54 <= 0)
m.e20 = Constraint(expr= -0.9 * m.x20 - 0.2 * m.x30 + 0.1 * m.x35 + 0.2 * m.x40
- 0.2 * m.x45 + 0.1 * m.x50 <= 0)
m.e21 = Constraint(expr= 0.6 * m.x20 + 0.5 * m.x25 + 0.6 * m.x30 - 0.1 * m.x35
+ 0.5 * m.x40 - 0.2 * m.x45 + 0.2 * m.x50 + 0.3 * m.x55 <= 0)
m.e22 = Constraint(expr= -0.5 * m.x20 - 0.1 * m.x25 - 0.4 * m.x30 - 0.1 * m.x35
- 0.2 * m.x40 - 0.4 * m.x45 - 0.3 * m.x50 - 0.6 * m.x55 <= 0)
m.e23 = Constraint(expr= -0.4 * m.x20 + 0.2 * m.x25 - 0.0999999999999999 *
m.x35 + 0.6 * m.x40 + 0.6 * m.x45 + 0.1 * m.x50 + 0.2 * m.x55 <= 0)
m.e24 = Constraint(expr= -0.8 * m.x21 + 0.0999999999999999 * m.x26 - 0.1 *
m.x31 + 0.2 * m.x36 + 0.3 * m.x41 - 0.1 * m.x46 + 0.2 * m.x51 +
0.0999999999999999 * m.x56 <= 0)
m.e25 = Constraint(expr= 0.6 * m.x21 + 0.5 * m.x26 + 0.6 * m.x31 - 0.1 * m.x36
+ 0.5 * m.x41 - 0.2 * m.x46 + 0.2 * m.x51 + 0.3 * m.x56 <= 0)
m.e26 = Constraint(expr= -0.6 * m.x21 - 0.2 * m.x26 - 0.5 * m.x31 - 0.2 * m.x36
- 0.3 * m.x41 - 0.5 * m.x46 - 0.4 * m.x51 - 0.7 * m.x56 <= 0)
m.e27 = Constraint(expr= -0.9 * m.x21 - 0.3 * m.x26 - 0.5 * m.x31 - 0.6 * m.x36
+ 0.1 * m.x41 + 0.1 * m.x46 - 0.4 * m.x51 - 0.3 * m.x56 <= 0)
m.e28 = Constraint(expr= -0.7 * m.x22 + 0.2 * m.x27 + 0.3 * m.x37 + 0.4 * m.x42
+ 0.3 * m.x52 + 0.2 * m.x57 <= 0)
m.e29 = Constraint(expr= 0.8 * m.x22 + 0.7 * m.x27 + 0.8 * m.x32 +
0.0999999999999999 * m.x37 + 0.7 * m.x42 + 0.4 * m.x52 + 0.5 * m.x57 <= 0)
m.e30 = Constraint(expr= -0.4 * m.x22 - 0.3 * m.x32 - 0.0999999999999999 *
m.x42 - 0.3 * m.x47 - 0.2 * m.x52 - 0.5 * m.x57 <= 0)
m.e31 = Constraint(expr= -0.6 * m.x22 - 0.2 * m.x32 - 0.3 * m.x37 + 0.4 * m.x42
+ 0.4 * m.x47 - 0.1 * m.x52 <= 0)
m.e32 = Constraint(expr= -1.1 * m.x23 - 0.2 * m.x28 - 0.4 * m.x33 - 0.1 * m.x38
- 0.4 * m.x48 - 0.1 * m.x53 - 0.2 * m.x58 <= 0)
m.e33 = Constraint(expr= -0.0999999999999999 * m.x28 - 0.7 * m.x38 -
0.0999999999999999 * m.x43 - 0.8 * m.x48 - 0.4 * m.x53 - 0.3 * m.x58 <= 0)
m.e34 = Constraint(expr= -0.7 * m.x23 - 0.3 * m.x28 - 0.6 * m.x33 - 0.3 * m.x38
- 0.4 * m.x43 - 0.6 * m.x48 - 0.5 * m.x53 - 0.8 * m.x58 <= 0)
m.e35 = Constraint(expr= -1.5 * m.x23 - 0.9 * m.x28 - 1.1 * m.x33 - 1.2 * m.x38
- 0.5 * m.x43 - 0.5 * m.x48 - m.x53 - 0.9 * m.x58 <= 0)
m.e36 = Constraint(expr= m.x1 + m.x2 + m.x3 + m.x4 == 1)
m.e37 = Constraint(expr= m.x5 + m.x6 + m.x7 + m.x8 == 1)
m.e38 = Constraint(expr= -m.x1 * m.x9 + m.x19 == 0)
m.e39 = Constraint(expr= -m.x1 * m.x10 + m.x20 == 0)
m.e40 = Constraint(expr= -m.x1 * m.x11 + m.x21 == 0)
m.e41 = Constraint(expr= -m.x1 * m.x12 + m.x22 == 0)
m.e42 = Constraint(expr= -m.x1 * m.x13 + m.x23 == 0)
m.e43 = Constraint(expr= -m.x2 * m.x9 + m.x24 == 0)
m.e44 = Constraint(expr= -m.x2 * m.x10 + m.x25 == 0)
m.e45 = Constraint(expr= -m.x2 * m.x11 + m.x26 == 0)
m.e46 = Constraint(expr= -m.x2 * m.x12 + m.x27 == 0)
m.e47 = Constraint(expr= -m.x2 * m.x13 + m.x28 == 0)
m.e48 = Constraint(expr= -m.x3 * m.x9 + m.x29 == 0)
m.e49 = Constraint(expr= -m.x3 * m.x10 + m.x30 == 0)
m.e50 = Constraint(expr= -m.x3 * m.x11 + m.x31 == 0)
m.e51 = Constraint(expr= -m.x3 * m.x12 + m.x32 == 0)
m.e52 = Constraint(expr= -m.x3 * m.x13 + m.x33 == 0)
m.e53 = Constraint(expr= -m.x4 * m.x9 + m.x34 == 0)
m.e54 = Constraint(expr= -m.x4 * m.x10 + m.x35 == 0)
m.e55 = Constraint(expr= -m.x4 * m.x11 + m.x36 == 0)
m.e56 = Constraint(expr= -m.x4 * m.x12 + m.x37 == 0)
m.e57 = Constraint(expr= -m.x4 * m.x13 + m.x38 == 0)
m.e58 = Constraint(expr= -m.x5 * m.x14 + m.x39 == 0)
m.e59 = Constraint(expr= -m.x5 * m.x15 + m.x40 == 0)
m.e60 = Constraint(expr= -m.x5 * m.x16 + m.x41 == 0)
m.e61 = Constraint(expr= -m.x5 * m.x17 + m.x42 == 0)
m.e62 = Constraint(expr= -m.x5 * m.x18 + m.x43 == 0)
m.e63 = Constraint(expr= -m.x6 * m.x14 + m.x44 == 0)
m.e64 = Constraint(expr= -m.x6 * m.x15 + m.x45 == 0)
m.e65 = Constraint(expr= -m.x6 * m.x16 + m.x46 == 0)
m.e66 = Constraint(expr= -m.x6 * m.x17 + m.x47 == 0)
m.e67 = Constraint(expr= -m.x6 * m.x18 + m.x48 == 0)
m.e68 = Constraint(expr= -m.x7 * m.x14 + m.x49 == 0)
m.e69 = Constraint(expr= -m.x7 * m.x15 + m.x50 == 0)
m.e70 = Constraint(expr= -m.x7 * m.x16 + m.x51 == 0)
m.e71 = Constraint(expr= -m.x7 * m.x17 + m.x52 == 0)
m.e72 = Constraint(expr= -m.x7 * m.x18 + m.x53 == 0)
m.e73 = Constraint(expr= -m.x8 * m.x14 + m.x54 == 0)
m.e74 = Constraint(expr= -m.x8 * m.x15 + m.x55 == 0)
m.e75 = Constraint(expr= -m.x8 * m.x16 + m.x56 == 0)
m.e76 = Constraint(expr= -m.x8 * m.x17 + m.x57 == 0)
m.e77 = Constraint(expr= -m.x8 * m.x18 + m.x58 == 0)