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Lógica matemática/ (ab!c!d)+(!a!b!c!d)+(abcd)+(a!bc!d)+(!abc!d)

Expresión (ab!c!d)+(!a!b!c!d)+(abcd)+(a!bc!d)+(!abc!d)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

    Ha introducido [src] 
    (a∧b∧c∧d)∨(a∧b∧(¬c)∧(¬d))∨(a∧c∧(¬b)∧(¬d))∨(b∧c∧(¬a)∧(¬d))∨((¬a)∧(¬b)∧(¬c)∧(¬d))
    (a∧b∧c∧d)∨(a∧b∧¬c∧¬d)∨(a∧c∧¬b∧¬d)∨(b∧c∧¬a∧¬d)∨(¬a∧¬b∧¬c∧¬d)\left(a \wedge b \wedge c \wedge d\right) \vee \left(a \wedge b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg a \wedge \neg d\right) \vee \left(\neg a \wedge \neg b \wedge \neg c \wedge \neg d\right)
    Solución detallada
    (a∧b∧c∧d)∨(a∧b∧¬c∧¬d)∨(a∧c∧¬b∧¬d)∨(b∧c∧¬a∧¬d)∨(¬a∧¬b∧¬c∧¬d)=(a∨¬d)∧(b∨¬d)∧(c∨¬d)∧(a∨b∨¬c)∧(a∨c∨¬b)∧(b∨c∨¬a)∧(d∨¬a∨¬b∨¬c)\left(a \wedge b \wedge c \wedge d\right) \vee \left(a \wedge b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg a \wedge \neg d\right) \vee \left(\neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) = \left(a \vee \neg d\right) \wedge \left(b \vee \neg d\right) \wedge \left(c \vee \neg d\right) \wedge \left(a \vee b \vee \neg c\right) \wedge \left(a \vee c \vee \neg b\right) \wedge \left(b \vee c \vee \neg a\right) \wedge \left(d \vee \neg a \vee \neg b \vee \neg c\right)
    Simplificación [src]
    (a∨¬d)∧(b∨¬d)∧(c∨¬d)∧(a∨b∨¬c)∧(a∨c∨¬b)∧(b∨c∨¬a)∧(d∨¬a∨¬b∨¬c)\left(a \vee \neg d\right) \wedge \left(b \vee \neg d\right) \wedge \left(c \vee \neg d\right) \wedge \left(a \vee b \vee \neg c\right) \wedge \left(a \vee c \vee \neg b\right) \wedge \left(b \vee c \vee \neg a\right) \wedge \left(d \vee \neg a \vee \neg b \vee \neg c\right) 
    (a∨(¬d))∧(b∨(¬d))∧(c∨(¬d))∧(a∨b∨(¬c))∧(a∨c∨(¬b))∧(b∨c∨(¬a))∧(d∨(¬a)∨(¬b)∨(¬c))
    Tabla de verdad 
    +---+---+---+---+--------+
| a | b | c | d | result |
+===+===+===+===+========+
| 0 | 0 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 0 | 0 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 0 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 0 | 1 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1      |
+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+--------+
    FNDP [src]
    (a∧b∧c∧d)∨(a∧b∧¬c∧¬d)∨(a∧c∧¬b∧¬d)∨(b∧c∧¬a∧¬d)∨(¬a∧¬b∧¬c∧¬d)\left(a \wedge b \wedge c \wedge d\right) \vee \left(a \wedge b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg a \wedge \neg d\right) \vee \left(\neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) 
    (a∧b∧c∧d)∨(a∧b∧(¬c)∧(¬d))∨(a∧c∧(¬b)∧(¬d))∨(b∧c∧(¬a)∧(¬d))∨((¬a)∧(¬b)∧(¬c)∧(¬d))
    FNC [src]
    Ya está reducido a FNC
    (a∨¬d)∧(b∨¬d)∧(c∨¬d)∧(a∨b∨¬c)∧(a∨c∨¬b)∧(b∨c∨¬a)∧(d∨¬a∨¬b∨¬c)\left(a \vee \neg d\right) \wedge \left(b \vee \neg d\right) \wedge \left(c \vee \neg d\right) \wedge \left(a \vee b \vee \neg c\right) \wedge \left(a \vee c \vee \neg b\right) \wedge \left(b \vee c \vee \neg a\right) \wedge \left(d \vee \neg a \vee \neg b \vee \neg c\right) 
    (a∨(¬d))∧(b∨(¬d))∧(c∨(¬d))∧(a∨b∨(¬c))∧(a∨c∨(¬b))∧(b∨c∨(¬a))∧(d∨(¬a)∨(¬b)∨(¬c))
    FNCD [src]
    (a∨¬d)∧(b∨¬d)∧(c∨¬d)∧(a∨b∨¬c)∧(a∨c∨¬b)∧(b∨c∨¬a)∧(d∨¬a∨¬b∨¬c)\left(a \vee \neg d\right) \wedge \left(b \vee \neg d\right) \wedge \left(c \vee \neg d\right) \wedge \left(a \vee b \vee \neg c\right) \wedge \left(a \vee c \vee \neg b\right) \wedge \left(b \vee c \vee \neg a\right) \wedge \left(d \vee \neg a \vee \neg b \vee \neg c\right) 
    (a∨(¬d))∧(b∨(¬d))∧(c∨(¬d))∧(a∨b∨(¬c))∧(a∨c∨(¬b))∧(b∨c∨(¬a))∧(d∨(¬a)∨(¬b)∨(¬c))
    FND [src]
    (a∧¬a∧¬d)∨(b∧¬b∧¬d)∨(c∧¬c∧¬d)∨(a∧b∧c∧d)∨(a∧b∧c∧¬a)∨(a∧b∧c∧¬b)∨(a∧b∧c∧¬c)∨(a∧b∧d∧¬d)∨(a∧b∧¬a∧¬d)∨(a∧b∧¬b∧¬d)∨(a∧b∧¬c∧¬d)∨(a∧c∧d∧¬d)∨(a∧c∧¬a∧¬d)∨(a∧c∧¬b∧¬d)∨(a∧c∧¬c∧¬d)∨(a∧d∧¬a∧¬d)∨(a∧¬a∧¬b∧¬d)∨(a∧¬a∧¬c∧¬d)∨(b∧c∧d∧¬d)∨(b∧c∧¬a∧¬d)∨(b∧c∧¬b∧¬d)∨(b∧c∧¬c∧¬d)∨(b∧d∧¬b∧¬d)∨(b∧¬a∧¬b∧¬d)∨(b∧¬b∧¬c∧¬d)∨(c∧d∧¬c∧¬d)∨(c∧¬a∧¬c∧¬d)∨(c∧¬b∧¬c∧¬d)∨(¬a∧¬b∧¬c∧¬d)∨(a∧b∧c∧d∧¬a)∨(a∧b∧c∧d∧¬b)∨(a∧b∧c∧d∧¬c)∨(a∧b∧c∧d∧¬d)∨(a∧b∧c∧¬a∧¬b)∨(a∧b∧c∧¬a∧¬c)∨(a∧b∧c∧¬a∧¬d)∨(a∧b∧c∧¬b∧¬c)∨(a∧b∧c∧¬b∧¬d)∨(a∧b∧c∧¬c∧¬d)∨(a∧b∧d∧¬a∧¬d)∨(a∧b∧d∧¬b∧¬d)∨(a∧b∧d∧¬c∧¬d)∨(a∧b∧¬a∧¬b∧¬d)∨(a∧b∧¬a∧¬c∧¬d)∨(a∧b∧¬b∧¬c∧¬d)∨(a∧c∧d∧¬a∧¬d)∨(a∧c∧d∧¬b∧¬d)∨(a∧c∧d∧¬c∧¬d)∨(a∧c∧¬a∧¬b∧¬d)∨(a∧c∧¬a∧¬c∧¬d)∨(a∧c∧¬b∧¬c∧¬d)∨(a∧d∧¬a∧¬b∧¬d)∨(a∧d∧¬a∧¬c∧¬d)∨(a∧¬a∧¬b∧¬c∧¬d)∨(b∧c∧d∧¬a∧¬d)∨(b∧c∧d∧¬b∧¬d)∨(b∧c∧d∧¬c∧¬d)∨(b∧c∧¬a∧¬b∧¬d)∨(b∧c∧¬a∧¬c∧¬d)∨(b∧c∧¬b∧¬c∧¬d)∨(b∧d∧¬a∧¬b∧¬d)∨(b∧d∧¬b∧¬c∧¬d)∨(b∧¬a∧¬b∧¬c∧¬d)∨(c∧d∧¬a∧¬c∧¬d)∨(c∧d∧¬b∧¬c∧¬d)∨(c∧¬a∧¬b∧¬c∧¬d)∨(d∧¬a∧¬b∧¬c∧¬d)∨(a∧b∧c∧d∧¬a∧¬b)∨(a∧b∧c∧d∧¬a∧¬c)∨(a∧b∧c∧d∧¬a∧¬d)∨(a∧b∧c∧d∧¬b∧¬c)∨(a∧b∧c∧d∧¬b∧¬d)∨(a∧b∧c∧d∧¬c∧¬d)∨(a∧b∧c∧¬a∧¬b∧¬c)∨(a∧b∧c∧¬a∧¬b∧¬d)∨(a∧b∧c∧¬a∧¬c∧¬d)∨(a∧b∧c∧¬b∧¬c∧¬d)∨(a∧b∧d∧¬a∧¬b∧¬d)∨(a∧b∧d∧¬a∧¬c∧¬d)∨(a∧b∧d∧¬b∧¬c∧¬d)∨(a∧b∧¬a∧¬b∧¬c∧¬d)∨(a∧c∧d∧¬a∧¬b∧¬d)∨(a∧c∧d∧¬a∧¬c∧¬d)∨(a∧c∧d∧¬b∧¬c∧¬d)∨(a∧c∧¬a∧¬b∧¬c∧¬d)∨(a∧d∧¬a∧¬b∧¬c∧¬d)∨(b∧c∧d∧¬a∧¬b∧¬d)∨(b∧c∧d∧¬a∧¬c∧¬d)∨(b∧c∧d∧¬b∧¬c∧¬d)∨(b∧c∧¬a∧¬b∧¬c∧¬d)∨(b∧d∧¬a∧¬b∧¬c∧¬d)∨(c∧d∧¬a∧¬b∧¬c∧¬d)∨(a∧b∧c∧d∧¬a∧¬b∧¬c)∨(a∧b∧c∧d∧¬a∧¬b∧¬d)∨(a∧b∧c∧d∧¬a∧¬c∧¬d)∨(a∧b∧c∧d∧¬b∧¬c∧¬d)∨(a∧b∧c∧¬a∧¬b∧¬c∧¬d)∨(a∧b∧d∧¬a∧¬b∧¬c∧¬d)∨(a∧c∧d∧¬a∧¬b∧¬c∧¬d)∨(b∧c∧d∧¬a∧¬b∧¬c∧¬d)\left(a \wedge \neg a \wedge \neg d\right) \vee \left(b \wedge \neg b \wedge \neg d\right) \vee \left(c \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d\right) \vee \left(a \wedge b \wedge c \wedge \neg a\right) \vee \left(a \wedge b \wedge c \wedge \neg b\right) \vee \left(a \wedge b \wedge c \wedge \neg c\right) \vee \left(a \wedge b \wedge d \wedge \neg d\right) \vee \left(a \wedge b \wedge \neg a \wedge \neg d\right) \vee \left(a \wedge b \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg a \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge d \wedge \neg a \wedge \neg d\right) \vee \left(a \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg a \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge d \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(c \wedge d \wedge \neg c \wedge \neg d\right) \vee \left(c \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(c \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(\neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg a\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg b\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge \neg a \wedge \neg b\right) \vee \left(a \wedge b \wedge c \wedge \neg a \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge \neg a \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge \neg b \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d \wedge \neg a \wedge \neg d\right) \vee \left(a \wedge b \wedge d \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge d \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg a \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge d \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge d \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg a \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge d \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge d \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(c \wedge d \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(c \wedge d \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(c \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(d \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg a \wedge \neg b\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg a \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg a \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg b \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge \neg a \wedge \neg b \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge d \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge d \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge d \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(c \wedge d \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg a \wedge \neg b \wedge \neg c\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg a \wedge \neg b \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg a \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge d \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge c \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge b \wedge d \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(a \wedge c \wedge d \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) \vee \left(b \wedge c \wedge d \wedge \neg a \wedge \neg b \wedge \neg c \wedge \neg d\right) 
    (a∧b∧c∧d)∨(a∧(¬a)∧(¬d))∨(b∧(¬b)∧(¬d))∨(c∧(¬c)∧(¬d))∨(a∧b∧c∧(¬a))∨(a∧b∧c∧(¬b))∨(a∧b∧c∧(¬c))∨(a∧b∧d∧(¬d))∨(a∧c∧d∧(¬d))∨(b∧c∧d∧(¬d))∨(a∧b∧(¬a)∧(¬d))∨(a∧b∧(¬b)∧(¬d))∨(a∧b∧(¬c)∧(¬d))∨(a∧c∧(¬a)∧(¬d))∨(a∧c∧(¬b)∧(¬d))∨(a∧c∧(¬c)∧(¬d))∨(a∧d∧(¬a)∧(¬d))∨(b∧c∧(¬a)∧(¬d))∨(b∧c∧(¬b)∧(¬d))∨(b∧c∧(¬c)∧(¬d))∨(b∧d∧(¬b)∧(¬d))∨(c∧d∧(¬c)∧(¬d))∨(a∧b∧c∧d∧(¬a))∨(a∧b∧c∧d∧(¬b))∨(a∧b∧c∧d∧(¬c))∨(a∧b∧c∧d∧(¬d))∨(a∧(¬a)∧(¬b)∧(¬d))∨(a∧(¬a)∧(¬c)∧(¬d))∨(b∧(¬a)∧(¬b)∧(¬d))∨(b∧(¬b)∧(¬c)∧(¬d))∨(c∧(¬a)∧(¬c)∧(¬d))∨(c∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧c∧(¬a)∧(¬b))∨(a∧b∧c∧(¬a)∧(¬c))∨(a∧b∧c∧(¬a)∧(¬d))∨(a∧b∧c∧(¬b)∧(¬c))∨(a∧b∧c∧(¬b)∧(¬d))∨(a∧b∧c∧(¬c)∧(¬d))∨(a∧b∧d∧(¬a)∧(¬d))∨(a∧b∧d∧(¬b)∧(¬d))∨(a∧b∧d∧(¬c)∧(¬d))∨(a∧c∧d∧(¬a)∧(¬d))∨(a∧c∧d∧(¬b)∧(¬d))∨(a∧c∧d∧(¬c)∧(¬d))∨(b∧c∧d∧(¬a)∧(¬d))∨(b∧c∧d∧(¬b)∧(¬d))∨(b∧c∧d∧(¬c)∧(¬d))∨((¬a)∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧(¬a)∧(¬b)∧(¬d))∨(a∧b∧(¬a)∧(¬c)∧(¬d))∨(a∧b∧(¬b)∧(¬c)∧(¬d))∨(a∧c∧(¬a)∧(¬b)∧(¬d))∨(a∧c∧(¬a)∧(¬c)∧(¬d))∨(a∧c∧(¬b)∧(¬c)∧(¬d))∨(a∧d∧(¬a)∧(¬b)∧(¬d))∨(a∧d∧(¬a)∧(¬c)∧(¬d))∨(b∧c∧(¬a)∧(¬b)∧(¬d))∨(b∧c∧(¬a)∧(¬c)∧(¬d))∨(b∧c∧(¬b)∧(¬c)∧(¬d))∨(b∧d∧(¬a)∧(¬b)∧(¬d))∨(b∧d∧(¬b)∧(¬c)∧(¬d))∨(c∧d∧(¬a)∧(¬c)∧(¬d))∨(c∧d∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧c∧d∧(¬a)∧(¬b))∨(a∧b∧c∧d∧(¬a)∧(¬c))∨(a∧b∧c∧d∧(¬a)∧(¬d))∨(a∧b∧c∧d∧(¬b)∧(¬c))∨(a∧b∧c∧d∧(¬b)∧(¬d))∨(a∧b∧c∧d∧(¬c)∧(¬d))∨(a∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(b∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(c∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(d∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧c∧(¬a)∧(¬b)∧(¬c))∨(a∧b∧c∧(¬a)∧(¬b)∧(¬d))∨(a∧b∧c∧(¬a)∧(¬c)∧(¬d))∨(a∧b∧c∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧d∧(¬a)∧(¬b)∧(¬d))∨(a∧b∧d∧(¬a)∧(¬c)∧(¬d))∨(a∧b∧d∧(¬b)∧(¬c)∧(¬d))∨(a∧c∧d∧(¬a)∧(¬b)∧(¬d))∨(a∧c∧d∧(¬a)∧(¬c)∧(¬d))∨(a∧c∧d∧(¬b)∧(¬c)∧(¬d))∨(b∧c∧d∧(¬a)∧(¬b)∧(¬d))∨(b∧c∧d∧(¬a)∧(¬c)∧(¬d))∨(b∧c∧d∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(a∧c∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(a∧d∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(b∧c∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(b∧d∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(c∧d∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧c∧d∧(¬a)∧(¬b)∧(¬c))∨(a∧b∧c∧d∧(¬a)∧(¬b)∧(¬d))∨(a∧b∧c∧d∧(¬a)∧(¬c)∧(¬d))∨(a∧b∧c∧d∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧c∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(a∧b∧d∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(a∧c∧d∧(¬a)∧(¬b)∧(¬c)∧(¬d))∨(b∧c∧d∧(¬a)∧(¬b)∧(¬c)∧(¬d))
    © Sr Examen – Калькулятор