/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2021-11-20-learn/synthese0002.txt

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


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

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

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

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




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

        b a x   a
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

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



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

2;3     0 1 -
2;6     - 1 0
4;6     1 - 0

2;3     0 1 -
4;6     1 - 0
2;6     - 1 0

b := (not b and a) or (b and not x) or (a and not x)


        b a x   a
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

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

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

a := (not a and not x) or (not b and not x) or (b and not a)


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


2       0 1 0
5;7     1 - 1

y := (not b and a and not x) or (b and x)



b := (not b and a) or (b and not x) or (a and not x)
a := (not a and not x) or (not b and not x) or (b and not a)
y := (not b and a and not x) or (b and x)