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MAXSAT solving via MIP

Description
Using boolvar with and/or/not constraints, retrieving the associated mpvar for the formulation of the objective function, solution reporting for boolvar.


Source Files





nrm_10_4_1.mos

(!******************************************************
   Mosel Example Problems
   ======================

   file nrm_10_4_1.mos
   ```````````````````
   MAXSAT solving with Mosel.

   -- Mosel version of the problem instance normalized-mds_10_4_1.opb --
      Source: http://www.cril.univ-artois.fr/PB07/

   (c) 2020 Fair Isaac Corporation
       author: Y.Colombani, Jun. 2020
*******************************************************!)

model nrm_10_4_1
uses 'mmxprs'

declarations
 x: array(1..10) of boolvar
end-declarations

not x(1) and x(4) or not x(1) and x(7) or not x(1) and x(8) or not x(1) and x(6) or not x(1) and x(3) or not x(1) and x(5) or not x(1) and x(9) or x(1)
not x(2) and x(4) or not x(2) and x(6) or not x(2) and x(7) or not x(2) and x(3) or not x(2) and x(5) or x(2)
x(1) and not x(3) or x(2) and not x(3) or not x(3) and x(10) or not x(3) and x(8) or not x(3) and x(5) or not x(3) and x(9) or x(3)
x(1) and not x(4) or x(2) and not x(4) or not x(4) and x(10) or not x(4) and x(7) or not x(4) and x(9) or x(4)
x(1) and not x(5) or x(2) and not x(5) or x(3) and not x(5) or not x(5) and x(7) or x(5)
x(1) and not x(6) or x(2) and not x(6) or not x(6) and x(9) or not x(6) and x(8) or not x(6) and x(10) or x(6)
x(1) and not x(7) or x(2) and not x(7) or x(4) and not x(7) or x(5) and not x(7) or x(7)
x(1) and not x(8) or x(3) and not x(8) or x(6) and not x(8) or not x(8) and x(10) or x(8)
x(1) and not x(9) or x(3) and not x(9) or x(4) and not x(9) or x(6) and not x(9) or x(9)
x(3) and not x(10) or x(4) and not x(10) or x(6) and not x(10) or x(8) and not x(10) or x(10)

! Solve as MAXSAT problem and report solution values
 minimise(sum(i in 1..10) x(i).var)
 writeln("Obj:", getobjval)
 forall(i in 1..10) writeln("x(",i,")=", x(i).sol)
end-model

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