What Does It Mean?: Solution (much more readable version)

(back to puzzle) (back to solution)
0 = 0
1 = 1
2 = 2
3 = 3
4 = 4
5 = 5

0 + 1 = 1
1 + 1 = 2
2 + 1 = 3
3 + 1 = 4
4 + 1 = 5
5 + 1 = 2 × 3

1 + 0 = 1
1 + 1 = 2
1 + 2 = 3
1 + 3 = 4
1 + 4 = 5
1 + 5 = 2 × 3

1 = 0 + 1
2 = 1 + 1
3 = 2 + 1
4 = 3 + 1
5 = 4 + 1
2 × 3 = 5 + 1

0 + 2 = 2
2 + 2 = 4
4 + 2 = 2 × 3

1 + 2 = 3
3 + 2 = 5
5 + 2 = 1 + 2 × 3

0 + 3 = 3
3 + 3 = 2 × 3

the absolute value of (0 - 1) = 1
the absolute value of (1 - 1) = 0
the absolute value of (2 - 1) = 1
the absolute value of (3 - 1) = 2
the absolute value of (4 - 1) = 3
the absolute value of (5 - 1) = 4

the absolute value of (0 - 3) = 3
the absolute value of (1 - 3) = 2
the absolute value of (2 - 3) = 1
the absolute value of (3 - 3) = 0
the absolute value of (4 - 3) = 1
the absolute value of (5 - 3) = 2

0 × 2 = 0
1 × 2 = 2
2 × 2 = 4

0 × 2 = 0 + 0
1 × 2 = 1 + 1
2 × 2 = 2 + 2
3 × 2 = 3 + 3
4 × 2 = 4 + 4
5 × 2 = 5 + 5

2 × 0 = 0 + 0
2 × 1 = 1 + 1
2 × 2 = 2 + 2
2 × 3 = 3 + 3
2 × 4 = 4 + 4
2 × 5 = 5 + 5

it is false that 1 = 0
it is false that 2 = 0
it is false that 3 = 0
it is false that 4 = 0
it is false that 5 = 0
it is false that 2 × 3 = 0

it is false that 0 = 1
it is false that 1 = 2
it is false that 2 = 3
it is false that 3 = 4
it is false that 4 = 5
it is false that 5 = 2 × 3

0 < 3
1 < 3
2 < 3
it is false that 3 < 3
it is false that 4 < 3
it is false that 5 < 3
it is false that 2 × 3 < 3

it is false that 0 > 3
it is false that 1 > 3
it is false that 2 > 3
it is false that 3 > 3
4 > 3
5 > 3
2 × 3 > 3

(0 = 3) = 0
(1 = 3) = 0
(2 = 3) = 0
(3 = 3) = 1
(4 = 3) = 0
(5 = 3) = 0

0 = (0 = 3)
0 = (1 = 3)
0 = (2 = 3)
1 = (3 = 3)
0 = (4 = 3)
0 = (5 = 3)

the negation of 0 = 1
the negation of 1 = 0
the negation of 2 = 0
the negation of 3 = 0
the negation of 4 = 0
the negation of 5 = 0

1 = the negation of 0
0 = the negation of 1
0 = the negation of 2
0 = the negation of 3
0 = the negation of 4
0 = the negation of 5

it is false that 0
1
2
3
4
5

1 + 1
it is false that the absolute value of (1 - 1)

0 / 3 = 0
1 / 3 > 0
1 / 3 < 1
2 / 3 > 0
2 / 3 < 1
3 / 3 = 1
4 / 3 > 1
4 / 3 < 2
5 / 3 > 1
5 / 3 < 2

the quotient when dividing 0 by 3 = 0
the quotient when dividing 1 by 3 = 0
the quotient when dividing 2 by 3 = 0
the quotient when dividing 3 by 3 = 1
the quotient when dividing 4 by 3 = 1
the quotient when dividing 5 by 3 = 1

0 mod 3 = 0
1 mod 3 = 1
2 mod 3 = 2
3 mod 3 = 0
4 mod 3 = 1
5 mod 3 = 2

the minimum of 0 and 3 = 0
the minimum of 1 and 3 = 1
the minimum of 2 and 3 = 2
the minimum of 3 and 3 = 3
the minimum of 4 and 3 = 3
the minimum of 5 and 3 = 3

the maximum of 0 and 3 = 3
the maximum of 1 and 3 = 3
the maximum of 2 and 3 = 3
the maximum of 3 and 3 = 3
the maximum of 4 and 3 = 4
the maximum of 5 and 3 = 5

it is false that 0 is a y such that (y = 3)
it is false that 1 is a y such that (y = 3)
it is false that 2 is a y such that (y = 3)
3 is a y such that (y = 3)
it is false that 4 is a y such that (y = 3)
it is false that 5 is a y such that (y = 3)

3 is a y such that (3 = y)
it is false that 5 is a y such that (3 = y)

0 is a y such that (y < 3)
1 is a y such that (y < 3)
2 is a y such that (y < 3)
it is false that 3 is a y such that (y < 3)
it is false that 4 is a y such that (y < 3)
it is false that 5 is a y such that (y < 3)

it is false that 0 is a y such that (y > 3)
it is false that 1 is a y such that (y > 3)
it is false that 2 is a y such that (y > 3)
it is false that 3 is a y such that (y > 3)
4 is a y such that (y > 3)
5 is a y such that (y > 3)

the sum of all y such that (y < 2) = 1
the product of all y such that (y < 2) = 1
the minimum of all y such that (y < 2) = 1
the maximum of all y such that (y < 2) = 1
the sum of all y such that (y < 3) = 3
the product of all y such that (y < 3) = 2
the minimum of all y such that (y < 3) = 1
the maximum of all y such that (y < 3) = 2
the sum of all y such that (y < 4) = 2 × 3
the product of all y such that (y < 4) = 2 × 3
the minimum of all y such that (y < 4) = 1
the maximum of all y such that (y < 4) = 3

the sum of all y such that 0 = 0
the product of all y such that 0 = 1
the sum of all y such that (0 = y) = 0
the product of all y such that (0 = y) = 1

it is false that 0 is a y such that the minimum of y < 5 and (y mod 2)
1 is a y such that the minimum of y < 5 and (y mod 2)
it is false that 2 is a y such that the minimum of y < 5 and (y mod 2)
3 is a y such that the minimum of y < 5 and (y mod 2)
it is false that 4 is a y such that the minimum of y < 5 and (y mod 2)
it is false that 5 is a y such that the minimum of y < 5 and (y mod 2)

the sum of all y such that the minimum of y < 5 and (y mod 2) = 4
the product of all y such that the minimum of y < 5 and (y mod 2) = 3
the minimum of all y such that the minimum of y < 5 and (y mod 2) = 1
the maximum of all y such that the minimum of y < 5 and (y mod 2) = 3

it is false that the sum of all y such that (y < 2) = 3
the sum of all y such that (y < 3) = 3
it is false that the sum of all y such that (y < 4) = 3
it is false that the sum of all y such that (y < 3) = 2 × 3
the sum of all y such that (y < 4) = 2 × 3
it is false that the sum of all y such that (y < 5) = 2 × 3

it is false that 2 is a y such that (the sum of all z such that (z < y) = 3)
3 is a y such that (the sum of all z such that (z < y) = 3)
it is false that 4 is a y such that (the sum of all z such that (z < y) = 3)
it is false that 3 is a y such that (the sum of all z such that (z < y) = 2 × 3)
4 is a y such that (the sum of all z such that (z < y) = 2 × 3)
it is false that 5 is a y such that (the sum of all z such that (z < y) = 2 × 3)

1 + 1 + (1 + 1) = 4
1 + 1 + (1 + 2) = 5
1 + 1 + 2 × 2 = 2 × 3
3 × 4 × (5 × 5) = the sum of all y such that (y < 5 × 5)