tp043.apm

Model tp043
  ! Source version 1

  Variables
    x[1:4] = 0
    obj
  End Variables

  Equations
    8 - x[1]^2 - x[2]^2 - x[3]^2 - x[4]^2 &
      - x[1] + x[2] - x[3] + x[4] >= 0
    10 - x[1]^2 - 2*x[2]^2 - x[3]^2 - 2*x[4]^2 &
       + x[1] + x[4] >= 0
    5 - 2*x[1]^2 - x[2]^2 - x[3]^2 &
      - 2*x[1] + x[2] + x[4] >= 0

    obj = x[1]^2 + x[2]^2 + 2*x[3]^2 + x[4]^2 &
        - 5*x[1] - 5*x[2] - 21*x[3] + 7*x[4]

    ! best known objective = -44
    ! begin of best known solution
    ! x[1] =  0
    ! x[2] =  1
    ! x[3] =  2
    ! x[4] = -1
    ! end of best known solution
  End Equations
End Model