File: simpl4.in

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polylib 5.22.5-4%2Bdfsg
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# {i,j,k | k=0; 1<=i<=10; 1<=j<=10}
D 1
5 5
0 0 0 1 0
1 1 0 0 -1
1 -1 0 0 10
1 0 1 0 -1
1 0 -1 0 10
# {i,j,k | k=0; i+j>=25; i<=25; j<=25} |
# {i,j,k | k=0; 2<=j<=9; 0<=i<=2}
D 2
4 5
0 0 0 1 0
1 1 1 0 -25
1 -1 0 0 25
1 0 -1 0 25
5 5
0 0 0 1 0
1 0 1 0 -2
1 0 -1 0 9
1 1 0 0 0
1 -1 0 0 2
F 2

DomSimplify[readDom["{i,j,k | k=0; 1<=i<=10; 1<=j<=10}"],
            readDom["{i,j,k | k=0; i+j>=25; i<=25; j<=25} |
                     {i,j,k | k=0; 2<=j<=9; 0<=i<=2}"]]
(*answer =
domain[3, {i, j, k}, {pol[3, 4, 0, 1,
    {{1, 1, 0, 0, -1}, {1, -1, 0, 0, 10}, {1, 0, -1, 0, 10}},
    {{0, 0, 0, 1, 0}, {1, 0, -1, 0, 0}, {1, 1, 10, 0, 1}, {1, 10, 10, 0, 1}}]} ]
{i,j,k|i-1>=0;-i+10>=0;-j+10>=0}
*)