/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2022-02-19-aufgaben/synthese0010.txt

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


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

        b a x   a
0       0 0 0   0
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   0

        b a x   y
0       0 0 0   0
1       0 0 1   0
2       0 1 0   0
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   b
1       0 0 1   1
3       0 1 1   1
6       1 1 0   1

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

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



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

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

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



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

1;3     0 - 1
6       1 1 0

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

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

1;5     - 0 1
2       0 1 0

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

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

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

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


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