# NLP written by GAMS Convert at 02/17/22 17:20:49 # # Equation counts # Total E G L N X C B # 86 42 0 44 0 0 0 0 # # Variable counts # x b i s1s s2s sc si # Total cont binary integer sos1 sos2 scont sint # 42 42 0 0 0 0 0 0 # FX 0 # # Nonzero counts # Total const NL # 384 114 270 # # 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=(0,1), initialize=0) m.x10 = Var(within=Reals, bounds=(0,1), initialize=0) m.x11 = Var(within=Reals, bounds=(0,1), initialize=0) m.x12 = Var(within=Reals, bounds=(0,1), initialize=0) m.x13 = Var(within=Reals, bounds=(0,1), initialize=0) m.x14 = Var(within=Reals, bounds=(0,1), initialize=0) m.x15 = Var(within=Reals, bounds=(0,1), initialize=0) m.x16 = Var(within=Reals, bounds=(0,1), initialize=0) m.x17 = Var(within=Reals, bounds=(0,1), initialize=0) m.x18 = Var(within=Reals, bounds=(0,1), initialize=0) m.x19 = Var(within=Reals, bounds=(0,1), initialize=0) m.x20 = Var(within=Reals, bounds=(0,1), initialize=0) m.x21 = Var(within=Reals, bounds=(0,1), initialize=0) m.x22 = Var(within=Reals, bounds=(0,1), initialize=0) m.x23 = Var(within=Reals, bounds=(0,1), initialize=0) m.x24 = Var(within=Reals, bounds=(0,1), initialize=0) m.x25 = Var(within=Reals, bounds=(0,1), initialize=0) m.x26 = Var(within=Reals, bounds=(0,1), initialize=0) m.x27 = Var(within=Reals, bounds=(0,1), initialize=0) m.x28 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x29 = Var(within=Reals, bounds=(0,1), initialize=0) m.x30 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x31 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x32 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x33 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x34 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x35 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x36 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x37 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x38 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x39 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x40 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x41 = Var(within=Reals, bounds=(-1,1), initialize=0) m.x42 = Var(within=Reals, bounds=(-1,1), initialize=0) m.obj = Objective(sense=minimize, expr= m.x1) m.e1 = Constraint(expr= -m.x2 * m.x3 * m.x4 + m.x5 == 0) m.e2 = Constraint(expr= -m.x2 * m.x3 * m.x6 + m.x7 == 0) m.e3 = Constraint(expr= -m.x2 * m.x3 * m.x8 + m.x9 == 0) m.e4 = Constraint(expr= -m.x2 * m.x3 * m.x10 + m.x11 == 0) m.e5 = Constraint(expr= -m.x2 * m.x4 * m.x6 + m.x12 == 0) m.e6 = Constraint(expr= -m.x2 * m.x4 * m.x8 + m.x13 == 0) m.e7 = Constraint(expr= -m.x2 * m.x4 * m.x10 + m.x14 == 0) m.e8 = Constraint(expr= -m.x2 * m.x6 * m.x8 + m.x15 == 0) m.e9 = Constraint(expr= -m.x2 * m.x6 * m.x10 + m.x16 == 0) m.e10 = Constraint(expr= -m.x2 * m.x8 * m.x10 + m.x17 == 0) m.e11 = Constraint(expr= -m.x3 * m.x4 * m.x6 + m.x18 == 0) m.e12 = Constraint(expr= -m.x3 * m.x4 * m.x8 + m.x19 == 0) m.e13 = Constraint(expr= -m.x3 * m.x4 * m.x10 + m.x20 == 0) m.e14 = Constraint(expr= -m.x3 * m.x6 * m.x8 + m.x21 == 0) m.e15 = Constraint(expr= -m.x3 * m.x6 * m.x10 + m.x22 == 0) m.e16 = Constraint(expr= -m.x3 * m.x8 * m.x10 + m.x23 == 0) m.e17 = Constraint(expr= -m.x4 * m.x6 * m.x8 + m.x24 == 0) m.e18 = Constraint(expr= -m.x4 * m.x6 * m.x10 + m.x25 == 0) m.e19 = Constraint(expr= -m.x4 * m.x8 * m.x10 + m.x26 == 0) m.e20 = Constraint(expr= -m.x6 * m.x8 * m.x10 + m.x27 == 0) m.e21 = Constraint(expr= m.x2 + m.x3 + m.x4 + m.x6 + m.x8 + m.x10 == 4) m.e22 = Constraint(expr= m.x28 - m.x29 <= 0) m.e23 = Constraint(expr= -m.x29 + m.x30 <= 0) m.e24 = Constraint(expr= -m.x29 + m.x31 <= 0) m.e25 = Constraint(expr= -m.x29 + m.x32 <= 0) m.e26 = Constraint(expr= -m.x29 + m.x33 <= 0) m.e27 = Constraint(expr= -m.x29 + m.x34 <= 0) m.e28 = Constraint(expr= -m.x29 + m.x35 <= 0) m.e29 = Constraint(expr= -m.x29 + m.x36 <= 0) m.e30 = Constraint(expr= -m.x29 + m.x37 <= 0) m.e31 = Constraint(expr= -m.x29 + m.x38 <= 0) m.e32 = Constraint(expr= -m.x29 + m.x39 <= 0) m.e33 = Constraint(expr= -m.x29 + m.x40 <= 0) m.e34 = Constraint(expr= -m.x29 + m.x41 <= 0) m.e35 = Constraint(expr= -m.x29 + m.x42 <= 0) m.e36 = Constraint(expr= m.x18 * m.x28**2 + m.x19 * m.x30**2 + m.x20 * m.x31**2 + m.x21 * m.x32**2 + m.x22 * m.x33**2 + m.x23 * m.x34**2 + m.x24 * m.x35** 2 + m.x25 * m.x36**2 + m.x26 * m.x37**2 + m.x27 * m.x38**2 == 1) m.e37 = Constraint(expr= m.x12 * m.x28**2 + m.x13 * m.x30**2 + m.x14 * m.x31**2 + m.x15 * m.x32**2 + m.x16 * m.x33**2 + m.x17 * m.x34**2 + m.x24 * m.x39** 2 + m.x25 * m.x40**2 + m.x26 * m.x41**2 + m.x27 * m.x42**2 == 1) m.e38 = Constraint(expr= m.x7 * m.x28**2 + m.x9 * m.x30**2 + m.x11 * m.x31**2 + m.x15 * m.x35**2 + m.x16 * m.x36**2 + m.x17 * m.x37**2 + m.x21 * m.x39** 2 + m.x22 * m.x40**2 + m.x23 * m.x41**2 + m.x27 * m.x29**2 == 1) m.e39 = Constraint(expr= m.x5 * m.x28**2 + m.x9 * m.x32**2 + m.x11 * m.x33**2 + m.x13 * m.x35**2 + m.x14 * m.x36**2 + m.x17 * m.x38**2 + m.x19 * m.x39** 2 + m.x20 * m.x40**2 + m.x23 * m.x42**2 + m.x26 * m.x29**2 == 1) m.e40 = Constraint(expr= m.x5 * m.x30**2 + m.x7 * m.x32**2 + m.x11 * m.x34**2 + m.x12 * m.x35**2 + m.x14 * m.x37**2 + m.x16 * m.x38**2 + m.x18 * m.x39** 2 + m.x20 * m.x41**2 + m.x22 * m.x42**2 + m.x25 * m.x29**2 == 1) m.e41 = Constraint(expr= m.x5 * m.x31**2 + m.x7 * m.x33**2 + m.x9 * m.x34**2 + m.x12 * m.x36**2 + m.x13 * m.x37**2 + m.x15 * m.x38**2 + m.x18 * m.x40**2 + m.x19 * m.x41**2 + m.x21 * m.x42**2 + m.x24 * m.x29**2 == 1) m.e42 = Constraint(expr= m.x28 * m.x34 - m.x30 * m.x33 + m.x31 * m.x32 == 0) m.e43 = Constraint(expr= m.x28 * m.x37 - m.x30 * m.x36 + m.x31 * m.x35 == 0) m.e44 = Constraint(expr= m.x28 * m.x41 - m.x30 * m.x40 + m.x31 * m.x39 == 0) m.e45 = Constraint(expr= m.x28 * m.x38 - m.x32 * m.x36 + m.x33 * m.x35 == 0) m.e46 = Constraint(expr= m.x28 * m.x42 - m.x32 * m.x40 + m.x33 * m.x39 == 0) m.e47 = Constraint(expr= m.x28 * m.x29 - m.x35 * m.x40 + m.x36 * m.x39 == 0) m.e48 = Constraint(expr= m.x30 * m.x38 - m.x32 * m.x37 + m.x34 * m.x35 == 0) m.e49 = Constraint(expr= m.x30 * m.x42 - m.x32 * m.x41 + m.x34 * m.x39 == 0) m.e50 = Constraint(expr= m.x29 * m.x30 - m.x35 * m.x41 + m.x37 * m.x39 == 0) m.e51 = Constraint(expr= m.x31 * m.x38 - m.x33 * m.x37 + m.x34 * m.x36 == 0) m.e52 = Constraint(expr= m.x31 * m.x42 - m.x33 * m.x41 + m.x34 * m.x40 == 0) m.e53 = Constraint(expr= m.x29 * m.x31 - m.x36 * m.x41 + m.x37 * m.x40 == 0) m.e54 = Constraint(expr= m.x29 * m.x32 - m.x35 * m.x42 + m.x38 * m.x39 == 0) m.e55 = Constraint(expr= m.x29 * m.x33 - m.x36 * m.x42 + m.x38 * m.x40 == 0) m.e56 = Constraint(expr= m.x29 * m.x34 - m.x37 * m.x42 + m.x38 * m.x41 == 0) m.e57 = Constraint(expr= -m.x1 - m.x28 <= 0) m.e58 = Constraint(expr= -m.x1 + m.x28 <= 0) m.e59 = Constraint(expr= -m.x1 - m.x30 <= 0) m.e60 = Constraint(expr= -m.x1 + m.x30 <= 0) m.e61 = Constraint(expr= -m.x1 - m.x31 <= 0) m.e62 = Constraint(expr= -m.x1 + m.x31 <= 0) m.e63 = Constraint(expr= -m.x1 - m.x32 <= 0) m.e64 = Constraint(expr= -m.x1 + m.x32 <= 0) m.e65 = Constraint(expr= -m.x1 - m.x33 <= 0) m.e66 = Constraint(expr= -m.x1 + m.x33 <= 0) m.e67 = Constraint(expr= -m.x1 - m.x34 <= 0) m.e68 = Constraint(expr= -m.x1 + m.x34 <= 0) m.e69 = Constraint(expr= -m.x1 - m.x35 <= 0) m.e70 = Constraint(expr= -m.x1 + m.x35 <= 0) m.e71 = Constraint(expr= -m.x1 - m.x36 <= 0) m.e72 = Constraint(expr= -m.x1 + m.x36 <= 0) m.e73 = Constraint(expr= -m.x1 - m.x37 <= 0) m.e74 = Constraint(expr= -m.x1 + m.x37 <= 0) m.e75 = Constraint(expr= -m.x1 - m.x38 <= 0) m.e76 = Constraint(expr= -m.x1 + m.x38 <= 0) m.e77 = Constraint(expr= -m.x1 - m.x39 <= 0) m.e78 = Constraint(expr= -m.x1 + m.x39 <= 0) m.e79 = Constraint(expr= -m.x1 - m.x40 <= 0) m.e80 = Constraint(expr= -m.x1 + m.x40 <= 0) m.e81 = Constraint(expr= -m.x1 - m.x41 <= 0) m.e82 = Constraint(expr= -m.x1 + m.x41 <= 0) m.e83 = Constraint(expr= -m.x1 - m.x42 <= 0) m.e84 = Constraint(expr= -m.x1 + m.x42 <= 0) m.e85 = Constraint(expr= -m.x1 - m.x29 <= 0) m.e86 = Constraint(expr= -m.x1 + m.x29 <= 0)