TPTP Problem File: PUZ015-2.006.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : PUZ015-2.006 : TPTP v8.2.0. Released v1.2.0.
% Domain : Puzzles
% Problem : Checkerboard and Dominoes : Opposing corners removed
% Version : [Sti93] axioms : Especial.
% Theorem formulation : Propositional.
% English : There is a checker board whose upper left and lower right
% squares have been removed. There is a box of dominoes that
% are one square by two squares in size. Can you exactly cover
% the checker board with dominoes? The size is the dimension of
% the checker board.
% Refs : [Sti93] Stickel (1993), Email to G. Sutcliffe
% Source : [Sti93]
% Names : - [Sti93]
% Status : Unsatisfiable
% Rating : 0.00 v2.4.0, 0.00 v2.1.0
% Syntax : Number of clauses : 184 ( 4 unt; 34 nHn; 184 RR)
% Number of literals : 412 ( 0 equ; 296 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 60 ( 60 usr; 60 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% SPC : CNF_UNS_PRP
% Comments : horizontal(R,C) means there is a horizontal tile from (R,C)
% to (R,C+1). vertical(R,C) means there is a vertical tile from
% (R,C) to (R+1,C).
% : tptp2X: -f tptp -s6 PUZ015-2.g
%--------------------------------------------------------------------------
cnf(uncovered1_1_1,negated_conjecture,
~ horizontal_1_1 ).
cnf(uncovered2_1_1,negated_conjecture,
~ vertical_1_1 ).
cnf(uncovered3_6_6,negated_conjecture,
~ horizontal_6_5 ).
cnf(uncovered4_6_6,negated_conjecture,
~ vertical_5_6 ).
cnf(covered_1_2,negated_conjecture,
( horizontal_1_2
| vertical_1_2
| horizontal_1_1 ) ).
cnf(covered_1_3,negated_conjecture,
( horizontal_1_3
| vertical_1_3
| horizontal_1_2 ) ).
cnf(covered_1_4,negated_conjecture,
( horizontal_1_4
| vertical_1_4
| horizontal_1_3 ) ).
cnf(covered_1_5,negated_conjecture,
( horizontal_1_5
| vertical_1_5
| horizontal_1_4 ) ).
cnf(covered_1_6,negated_conjecture,
( vertical_1_6
| horizontal_1_5 ) ).
cnf(covered_2_1,negated_conjecture,
( horizontal_2_1
| vertical_2_1
| vertical_1_1 ) ).
cnf(covered_2_2,negated_conjecture,
( horizontal_2_2
| vertical_2_2
| horizontal_2_1
| vertical_1_2 ) ).
cnf(covered_2_3,negated_conjecture,
( horizontal_2_3
| vertical_2_3
| horizontal_2_2
| vertical_1_3 ) ).
cnf(covered_2_4,negated_conjecture,
( horizontal_2_4
| vertical_2_4
| horizontal_2_3
| vertical_1_4 ) ).
cnf(covered_2_5,negated_conjecture,
( horizontal_2_5
| vertical_2_5
| horizontal_2_4
| vertical_1_5 ) ).
cnf(covered_2_6,negated_conjecture,
( vertical_2_6
| horizontal_2_5
| vertical_1_6 ) ).
cnf(covered_3_1,negated_conjecture,
( horizontal_3_1
| vertical_3_1
| vertical_2_1 ) ).
cnf(covered_3_2,negated_conjecture,
( horizontal_3_2
| vertical_3_2
| horizontal_3_1
| vertical_2_2 ) ).
cnf(covered_3_3,negated_conjecture,
( horizontal_3_3
| vertical_3_3
| horizontal_3_2
| vertical_2_3 ) ).
cnf(covered_3_4,negated_conjecture,
( horizontal_3_4
| vertical_3_4
| horizontal_3_3
| vertical_2_4 ) ).
cnf(covered_3_5,negated_conjecture,
( horizontal_3_5
| vertical_3_5
| horizontal_3_4
| vertical_2_5 ) ).
cnf(covered_3_6,negated_conjecture,
( vertical_3_6
| horizontal_3_5
| vertical_2_6 ) ).
cnf(covered_4_1,negated_conjecture,
( horizontal_4_1
| vertical_4_1
| vertical_3_1 ) ).
cnf(covered_4_2,negated_conjecture,
( horizontal_4_2
| vertical_4_2
| horizontal_4_1
| vertical_3_2 ) ).
cnf(covered_4_3,negated_conjecture,
( horizontal_4_3
| vertical_4_3
| horizontal_4_2
| vertical_3_3 ) ).
cnf(covered_4_4,negated_conjecture,
( horizontal_4_4
| vertical_4_4
| horizontal_4_3
| vertical_3_4 ) ).
cnf(covered_4_5,negated_conjecture,
( horizontal_4_5
| vertical_4_5
| horizontal_4_4
| vertical_3_5 ) ).
cnf(covered_4_6,negated_conjecture,
( vertical_4_6
| horizontal_4_5
| vertical_3_6 ) ).
cnf(covered_5_1,negated_conjecture,
( horizontal_5_1
| vertical_5_1
| vertical_4_1 ) ).
cnf(covered_5_2,negated_conjecture,
( horizontal_5_2
| vertical_5_2
| horizontal_5_1
| vertical_4_2 ) ).
cnf(covered_5_3,negated_conjecture,
( horizontal_5_3
| vertical_5_3
| horizontal_5_2
| vertical_4_3 ) ).
cnf(covered_5_4,negated_conjecture,
( horizontal_5_4
| vertical_5_4
| horizontal_5_3
| vertical_4_4 ) ).
cnf(covered_5_5,negated_conjecture,
( horizontal_5_5
| vertical_5_5
| horizontal_5_4
| vertical_4_5 ) ).
cnf(covered_5_6,negated_conjecture,
( vertical_5_6
| horizontal_5_5
| vertical_4_6 ) ).
cnf(covered_6_1,negated_conjecture,
( horizontal_6_1
| vertical_5_1 ) ).
cnf(covered_6_2,negated_conjecture,
( horizontal_6_2
| horizontal_6_1
| vertical_5_2 ) ).
cnf(covered_6_3,negated_conjecture,
( horizontal_6_3
| horizontal_6_2
| vertical_5_3 ) ).
cnf(covered_6_4,negated_conjecture,
( horizontal_6_4
| horizontal_6_3
| vertical_5_4 ) ).
cnf(covered_6_5,negated_conjecture,
( horizontal_6_5
| horizontal_6_4
| vertical_5_5 ) ).
cnf(unique_cover1_1_2,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_2 ) ).
cnf(unique_cover2_1_2,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_1_1 ) ).
cnf(unique_cover4_1_2,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_1_1 ) ).
cnf(unique_cover1_1_3,negated_conjecture,
( ~ horizontal_1_3
| ~ vertical_1_3 ) ).
cnf(unique_cover2_1_3,negated_conjecture,
( ~ horizontal_1_3
| ~ horizontal_1_2 ) ).
cnf(unique_cover4_1_3,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_1_2 ) ).
cnf(unique_cover1_1_4,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_4 ) ).
cnf(unique_cover2_1_4,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_1_3 ) ).
cnf(unique_cover4_1_4,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_1_3 ) ).
cnf(unique_cover1_1_5,negated_conjecture,
( ~ horizontal_1_5
| ~ vertical_1_5 ) ).
cnf(unique_cover2_1_5,negated_conjecture,
( ~ horizontal_1_5
| ~ horizontal_1_4 ) ).
cnf(unique_cover4_1_5,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_4 ) ).
cnf(unique_cover4_1_6,negated_conjecture,
( ~ vertical_1_6
| ~ horizontal_1_5 ) ).
cnf(unique_cover1_2_1,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_2_1 ) ).
cnf(unique_cover3_2_1,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_1 ) ).
cnf(unique_cover5_2_1,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_1_1 ) ).
cnf(unique_cover1_2_2,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_2_2 ) ).
cnf(unique_cover2_2_2,negated_conjecture,
( ~ horizontal_2_2
| ~ horizontal_2_1 ) ).
cnf(unique_cover3_2_2,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_1_2 ) ).
cnf(unique_cover4_2_2,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_1 ) ).
cnf(unique_cover5_2_2,negated_conjecture,
( ~ vertical_2_2
| ~ vertical_1_2 ) ).
cnf(unique_cover6_2_2,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_1_2 ) ).
cnf(unique_cover1_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_3 ) ).
cnf(unique_cover2_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_2 ) ).
cnf(unique_cover3_2_3,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_1_3 ) ).
cnf(unique_cover4_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_2 ) ).
cnf(unique_cover5_2_3,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_1_3 ) ).
cnf(unique_cover6_2_3,negated_conjecture,
( ~ horizontal_2_2
| ~ vertical_1_3 ) ).
cnf(unique_cover1_2_4,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_2_4 ) ).
cnf(unique_cover2_2_4,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_2_3 ) ).
cnf(unique_cover3_2_4,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_1_4 ) ).
cnf(unique_cover4_2_4,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_2_3 ) ).
cnf(unique_cover5_2_4,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_1_4 ) ).
cnf(unique_cover6_2_4,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_1_4 ) ).
cnf(unique_cover1_2_5,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_2_5 ) ).
cnf(unique_cover2_2_5,negated_conjecture,
( ~ horizontal_2_5
| ~ horizontal_2_4 ) ).
cnf(unique_cover3_2_5,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_1_5 ) ).
cnf(unique_cover4_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_4 ) ).
cnf(unique_cover5_2_5,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_1_5 ) ).
cnf(unique_cover6_2_5,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_1_5 ) ).
cnf(unique_cover4_2_6,negated_conjecture,
( ~ vertical_2_6
| ~ horizontal_2_5 ) ).
cnf(unique_cover5_2_6,negated_conjecture,
( ~ vertical_2_6
| ~ vertical_1_6 ) ).
cnf(unique_cover6_2_6,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_1_6 ) ).
cnf(unique_cover1_3_1,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_1 ) ).
cnf(unique_cover3_3_1,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_1 ) ).
cnf(unique_cover5_3_1,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_2_1 ) ).
cnf(unique_cover1_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_2 ) ).
cnf(unique_cover2_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_1 ) ).
cnf(unique_cover3_3_2,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_2 ) ).
cnf(unique_cover4_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_1 ) ).
cnf(unique_cover5_3_2,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_2_2 ) ).
cnf(unique_cover6_3_2,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_2_2 ) ).
cnf(unique_cover1_3_3,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_3 ) ).
cnf(unique_cover2_3_3,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_2 ) ).
cnf(unique_cover3_3_3,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_3 ) ).
cnf(unique_cover4_3_3,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_2 ) ).
cnf(unique_cover5_3_3,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_2_3 ) ).
cnf(unique_cover6_3_3,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_2_3 ) ).
cnf(unique_cover1_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_4 ) ).
cnf(unique_cover2_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_3 ) ).
cnf(unique_cover3_3_4,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_2_4 ) ).
cnf(unique_cover4_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_3 ) ).
cnf(unique_cover5_3_4,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_2_4 ) ).
cnf(unique_cover6_3_4,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_2_4 ) ).
cnf(unique_cover1_3_5,negated_conjecture,
( ~ horizontal_3_5
| ~ vertical_3_5 ) ).
cnf(unique_cover2_3_5,negated_conjecture,
( ~ horizontal_3_5
| ~ horizontal_3_4 ) ).
cnf(unique_cover3_3_5,negated_conjecture,
( ~ horizontal_3_5
| ~ vertical_2_5 ) ).
cnf(unique_cover4_3_5,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_3_4 ) ).
cnf(unique_cover5_3_5,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_2_5 ) ).
cnf(unique_cover6_3_5,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_2_5 ) ).
cnf(unique_cover4_3_6,negated_conjecture,
( ~ vertical_3_6
| ~ horizontal_3_5 ) ).
cnf(unique_cover5_3_6,negated_conjecture,
( ~ vertical_3_6
| ~ vertical_2_6 ) ).
cnf(unique_cover6_3_6,negated_conjecture,
( ~ horizontal_3_5
| ~ vertical_2_6 ) ).
cnf(unique_cover1_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_1 ) ).
cnf(unique_cover3_4_1,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_1 ) ).
cnf(unique_cover5_4_1,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_3_1 ) ).
cnf(unique_cover1_4_2,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_4_2 ) ).
cnf(unique_cover2_4_2,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_1 ) ).
cnf(unique_cover3_4_2,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_2 ) ).
cnf(unique_cover4_4_2,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_1 ) ).
cnf(unique_cover5_4_2,negated_conjecture,
( ~ vertical_4_2
| ~ vertical_3_2 ) ).
cnf(unique_cover6_4_2,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_3_2 ) ).
cnf(unique_cover1_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_3 ) ).
cnf(unique_cover2_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_2 ) ).
cnf(unique_cover3_4_3,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_3 ) ).
cnf(unique_cover4_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_2 ) ).
cnf(unique_cover5_4_3,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_3_3 ) ).
cnf(unique_cover6_4_3,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_3_3 ) ).
cnf(unique_cover1_4_4,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_4_4 ) ).
cnf(unique_cover2_4_4,negated_conjecture,
( ~ horizontal_4_4
| ~ horizontal_4_3 ) ).
cnf(unique_cover3_4_4,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_3_4 ) ).
cnf(unique_cover4_4_4,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_4_3 ) ).
cnf(unique_cover5_4_4,negated_conjecture,
( ~ vertical_4_4
| ~ vertical_3_4 ) ).
cnf(unique_cover6_4_4,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_3_4 ) ).
cnf(unique_cover1_4_5,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_4_5 ) ).
cnf(unique_cover2_4_5,negated_conjecture,
( ~ horizontal_4_5
| ~ horizontal_4_4 ) ).
cnf(unique_cover3_4_5,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_3_5 ) ).
cnf(unique_cover4_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_4 ) ).
cnf(unique_cover5_4_5,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_3_5 ) ).
cnf(unique_cover6_4_5,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_3_5 ) ).
cnf(unique_cover4_4_6,negated_conjecture,
( ~ vertical_4_6
| ~ horizontal_4_5 ) ).
cnf(unique_cover5_4_6,negated_conjecture,
( ~ vertical_4_6
| ~ vertical_3_6 ) ).
cnf(unique_cover6_4_6,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_3_6 ) ).
cnf(unique_cover1_5_1,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_5_1 ) ).
cnf(unique_cover3_5_1,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_1 ) ).
cnf(unique_cover5_5_1,negated_conjecture,
( ~ vertical_5_1
| ~ vertical_4_1 ) ).
cnf(unique_cover1_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_5_2 ) ).
cnf(unique_cover2_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_1 ) ).
cnf(unique_cover3_5_2,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_2 ) ).
cnf(unique_cover4_5_2,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_5_1 ) ).
cnf(unique_cover5_5_2,negated_conjecture,
( ~ vertical_5_2
| ~ vertical_4_2 ) ).
cnf(unique_cover6_5_2,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_4_2 ) ).
cnf(unique_cover1_5_3,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_5_3 ) ).
cnf(unique_cover2_5_3,negated_conjecture,
( ~ horizontal_5_3
| ~ horizontal_5_2 ) ).
cnf(unique_cover3_5_3,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_3 ) ).
cnf(unique_cover4_5_3,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_5_2 ) ).
cnf(unique_cover5_5_3,negated_conjecture,
( ~ vertical_5_3
| ~ vertical_4_3 ) ).
cnf(unique_cover6_5_3,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_4_3 ) ).
cnf(unique_cover1_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_5_4 ) ).
cnf(unique_cover2_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_3 ) ).
cnf(unique_cover3_5_4,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_4 ) ).
cnf(unique_cover4_5_4,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_5_3 ) ).
cnf(unique_cover5_5_4,negated_conjecture,
( ~ vertical_5_4
| ~ vertical_4_4 ) ).
cnf(unique_cover6_5_4,negated_conjecture,
( ~ horizontal_5_3
| ~ vertical_4_4 ) ).
cnf(unique_cover1_5_5,negated_conjecture,
( ~ horizontal_5_5
| ~ vertical_5_5 ) ).
cnf(unique_cover2_5_5,negated_conjecture,
( ~ horizontal_5_5
| ~ horizontal_5_4 ) ).
cnf(unique_cover3_5_5,negated_conjecture,
( ~ horizontal_5_5
| ~ vertical_4_5 ) ).
cnf(unique_cover4_5_5,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_5_4 ) ).
cnf(unique_cover5_5_5,negated_conjecture,
( ~ vertical_5_5
| ~ vertical_4_5 ) ).
cnf(unique_cover6_5_5,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_4_5 ) ).
cnf(unique_cover4_5_6,negated_conjecture,
( ~ vertical_5_6
| ~ horizontal_5_5 ) ).
cnf(unique_cover5_5_6,negated_conjecture,
( ~ vertical_5_6
| ~ vertical_4_6 ) ).
cnf(unique_cover6_5_6,negated_conjecture,
( ~ horizontal_5_5
| ~ vertical_4_6 ) ).
cnf(unique_cover3_6_1,negated_conjecture,
( ~ horizontal_6_1
| ~ vertical_5_1 ) ).
cnf(unique_cover2_6_2,negated_conjecture,
( ~ horizontal_6_2
| ~ horizontal_6_1 ) ).
cnf(unique_cover3_6_2,negated_conjecture,
( ~ horizontal_6_2
| ~ vertical_5_2 ) ).
cnf(unique_cover6_6_2,negated_conjecture,
( ~ horizontal_6_1
| ~ vertical_5_2 ) ).
cnf(unique_cover2_6_3,negated_conjecture,
( ~ horizontal_6_3
| ~ horizontal_6_2 ) ).
cnf(unique_cover3_6_3,negated_conjecture,
( ~ horizontal_6_3
| ~ vertical_5_3 ) ).
cnf(unique_cover6_6_3,negated_conjecture,
( ~ horizontal_6_2
| ~ vertical_5_3 ) ).
cnf(unique_cover2_6_4,negated_conjecture,
( ~ horizontal_6_4
| ~ horizontal_6_3 ) ).
cnf(unique_cover3_6_4,negated_conjecture,
( ~ horizontal_6_4
| ~ vertical_5_4 ) ).
cnf(unique_cover6_6_4,negated_conjecture,
( ~ horizontal_6_3
| ~ vertical_5_4 ) ).
cnf(unique_cover2_6_5,negated_conjecture,
( ~ horizontal_6_5
| ~ horizontal_6_4 ) ).
cnf(unique_cover3_6_5,negated_conjecture,
( ~ horizontal_6_5
| ~ vertical_5_5 ) ).
cnf(unique_cover6_6_5,negated_conjecture,
( ~ horizontal_6_4
| ~ vertical_5_5 ) ).
%--------------------------------------------------------------------------