/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-02-19-aufgaben/synthese0003.txt

        b a x   b a y
0       0 0 0   1 1 1
1       0 0 1   0 1 0
2       0 1 0   1 1 0
3       0 1 1   0 0 1
4       1 0 0   1 0 1
5       1 0 1   1 1 0
6       1 1 0   1 0 1
7       1 1 1   0 1 0


        b a x   b
0       0 0 0   1
1       0 0 1   0
2       0 1 0   1
3       0 1 1   0
4       1 0 0   1
5       1 0 1   1
6       1 1 0   1
7       1 1 1   0

        b a x   a
0       0 0 0   1
1       0 0 1   1
2       0 1 0   1
3       0 1 1   0
4       1 0 0   0
5       1 0 1   1
6       1 1 0   0
7       1 1 1   1

        b a x   y
0       0 0 0   1
1       0 0 1   0
2       0 1 0   0
3       0 1 1   1
4       1 0 0   1
5       1 0 1   0
6       1 1 0   1
7       1 1 1   0



        b a x   b
0       0 0 0   1
2       0 1 0   1
4       1 0 0   1
5       1 0 1   1
6       1 1 0   1

        b a x   a
0       0 0 0   1
1       0 0 1   1
2       0 1 0   1
5       1 0 1   1
7       1 1 1   1

        b a x   y
0       0 0 0   1
3       0 1 1   1
4       1 0 0   1
6       1 1 0   1



        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
5       1 0 1   1
6       1 1 0   1

        b a x   a
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
2       0 1 0   1
5       1 0 1   1
Gruppe 3:
7       1 1 1   1

        b a x   y
Gruppe 0:
0       0 0 0   1
Gruppe 1:
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
6       1 1 0   1



        b a x   b
Gruppe 0:
0       0 0 0   1
Gruppe 1:
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
5       1 0 1   1
6       1 1 0   1

0;2     0 - 1
0;4     - 0 0 
4;6     1 - 0
4;5     1 0 -
1;6     - 1 0



0;4     - 0 0 
1;6     - 1 0
0;2     0 - 1
4;6     1 - 0
4;5     1 0 -

0;4;1;6     - - 0
0;2         0 - 1
4;6         1 - 0
4;5         1 0 -

b <- (not x) or (not b and x) or (b and not x) or (b and not a)


        b a x   a
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
2       0 1 0   1
Gruppe 2:
5       1 0 1   1
Gruppe 3:
7       1 1 1   1


0;1     0 0 -
0;2     0 - 0
5;7     1 - 1

a <- (not b and not a) or (not b and not x) or (b and x)



        b a x   y
Gruppe 0:
0       0 0 0   1
Gruppe 1:
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
6       1 1 0   1

0;4     - 0 0
3       0 1 1 
4;6     1 - 0

y <- (not a and not x) or (not b and a and x) or (b and not x)


b <- (not x) or (not b and x) or (b and not x) or (b and not a)
a <- (not b and not a) or (not b and not x) or (b and x)
y <- (not a and not x) or (not b and a and x) or (b and not x)