52 lines
1.4 KiB
Prolog
52 lines
1.4 KiB
Prolog
puzzle :-
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% 1. This is a numbered list of twelve statements.
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L = [A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12],
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L ins 0..1,
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element(1, L, 1),
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% 2. Exactly 3 of the last 6 statements are true.
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A2 #<==> A7 + A8 + A9 + A10 + A11 + A12 #= 3,
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% 3. Exactly 2 of the even-numbered statements are true.
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A3 #<==> A2 + A4 + A6 + A8 + A10 + A12 #= 2,
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% 4. If statement 5 is true, then statements 6 and 7 are both true.
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A4 #<==> (A5 #==> (A6 #/\ A7)),
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% 5. The 3 preceding statements are all false.
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A5 #<==> A2 + A3 + A4 #= 0,
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% 6. Exactly 4 of the odd-numbered statements are true.
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A6 #==> A1 + A3 + A5 + A7 + A9 + A11 #= 4,
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% 7. Either statement 2 or 3 is true, but not both.
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A7 #<==> A2 + A3 #= 1,
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% 8. If statement 7 is true, then 5 and 6 are both true.
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A8 #<==> (A7 #==> A5 #/\ A6),
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% 9. Exactly 3 of the first 6 statements are true.
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A9 #<==> A1 + A2 + A3 + A4 + A5 + A6 #= 3,
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% 10. The next two statements are both true.
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A10 #<==> A11 #/\ A12,
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% 11. Exactly 1 of statements 7, 8 and 9 are true.
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A11 #<==> A7 + A8 + A9 #= 1,
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% 12. Exactly 4 of the preceding statements are true.
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A12 #<==> A1 + A2 + A3 + A4 + A5 + A6 + A7 +A8 + A9 + A10 + A11 #= 4,
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label(L),
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numlist(1, 12, NL),
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write('Statements '),
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maplist(my_write, NL, L),
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writeln('are true').
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my_write(N, 1) :-
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format('~w ', [N]).
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my_write(_N, 0).
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