/media/sda-magnetic/david/Dok-15-2023-11-27/fernuni-hagen/cs-i-ii/old-cs-2-01/2021-11-20-learn/synthese0007.txt

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

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




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

        b a x   a
1       0 0 1   1
3       0 1 1   1
6       1 1 0   1

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




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

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

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

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

1;3     0 - 1
6       1 1 0

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


        b a x   y
Gruppe 0:
0       0 0 0   1
Gruppe 1:
1       0 0 1   1
2       0 1 0   1
4       1 0 0   1
Gruppe 2:
3       0 1 1   1
5       1 0 1   1

0;1     0 0 -
0;2     0 - 0
0;4     - 0 0 
1;3     0 - 1
2;3     0 1 -
1;5     - 0 1
4;5     1 0 -


1;5     - 0 1
0;4     - 0 0 
1;3     0 - 1
0;2     0 - 0
2;3     0 1 -
4;5     1 0 -
0;1     0 0 -



Gruppe 1:
1;5     - 0 1
Gruppe 0:
0;4     - 0 0 

1;5;0;4     - 0 -

Gruppe 1:
1;3     0 - 1
Gruppe 0:
0;2     0 - 0


1;3;0;2     0 - -

Gruppe 1:
2;3     0 1 -
4;5     1 0 -
Gruppe 0:
0;1     0 0 -

2;3;0;1     0 - -
4;5;0;1     - 0 -

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


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