116 lines
2.0 KiB
Plaintext
116 lines
2.0 KiB
Plaintext
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% The Deussen Problem -------------------------------------------------------
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/*From mark@ecrc.de Tue Jul 14 11:05:16 1992
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I thought a propositional satisfiability example would be good.
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I therefore propose the Deussen problem Ulm027r1
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(chosen pretty well at random).
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Mark Wallace
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*/
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% the ulm027r1 problem has 16 solutions
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% no labeling
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deussen0(Vars) :-
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ulm027r1(L,Vars),
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solve_bools(L).
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% built-in labeling
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deussen1(Vars) :-
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ulm027r1(L,Vars),
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solve_bools(L),
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labeling.
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% user-defined labeling
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deussen2(Vars) :-
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ulm027r1(L,Vars),
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solve_bools(L),
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label_bool(Vars).
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solve_bools([]).
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solve_bools([X|L]) :-
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solve_bool(X,1), % boolean expression X must be 1 (true)
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solve_bools(L).
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% Deussen Problem Ulm027/1
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ulm027r1(
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[
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U12 + U3 + U2,
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U12 + ~~U3 + ~~U2,
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~~U12 + ~~U3 + U2,
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~~U12 + U3 + ~~U2,
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U13 + U4 + U12,
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U13 + ~~U4 + ~~U12,
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~~U13 + ~~U4 + U12,
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~~U13 + U4 + ~~U12,
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U14 + U5 + U13,
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U14 + ~~U5 + ~~U13,
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~~U14 + ~~U5 + U13,
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~~U14 + U5 + ~~U13,
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~~U14,
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U15 + U6 + U4,
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U15 + ~~U6 + ~~U4,
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~~U15 + ~~U6 + U4,
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~~U15 + U6 + ~~U4,
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U16 + U2 + U15,
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U16 + ~~U2 + ~~U15,
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~~U16 + ~~U2 + U15,
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~~U16 + U2 + ~~U15,
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U17 + U2 + U16,
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U17 + ~~U2 + ~~U16,
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~~U17 + ~~U2 + U16,
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~~U17 + U2 + ~~U16,
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U18 + U6 + U17,
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U18 + ~~U6 + ~~U17,
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~~U18 + ~~U6 + U17,
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~~U18 + U6 + ~~U17,
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~~U18,
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U19 + U10 + U3,
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U19 + ~~U10 + ~~U3,
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~~U19 + ~~U10 + U3,
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~~U19 + U10 + ~~U3,
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U20 + U11 + U19,
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U20 + ~~U11 + ~~U19,
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~~U20 + ~~U11 + U19,
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~~U20 + U11 + ~~U19,
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U21 + U6 + U20,
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U21 + ~~U6 + ~~U20,
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~~U21 + ~~U6 + U20,
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~~U21 + U6 + ~~U20,
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U22 + U7 + U21,
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U22 + ~~U7 + ~~U21,
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~~U22 + ~~U7 + U21,
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~~U22 + U7 + ~~U21,
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~~U22,
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U23 + U5 + U7,
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U23 + ~~U5 + ~~U7,
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~~U23 + ~~U5 + U7,
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~~U23 + U5 + ~~U7,
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U24 + U6 + U23,
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U24 + ~~U6 + ~~U23,
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~~U24 + ~~U6 + U23,
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~~U24 + U6 + ~~U23,
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U25 + U10 + U24,
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U25 + ~~U10 + ~~U24,
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~~U25 + ~~U10 + U24,
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~~U25 + U10 + ~~U24,
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U26 + U11 + U25,
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U26 + ~~U11 + ~~U25,
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~~U26 + ~~U11 + U25,
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~~U26 + U11 + ~~U25,
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~~U26
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],
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[
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%U1,
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U2,U3,U4,U5,U6,U7, %U8,U9,
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U10,U11,U12,U13,U14,U15,U16,U17,U18,U19,
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U20,U21,U22,U23,U24,U25,U26
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]).
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