TPTP Problem File: PUZ028-4.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : PUZ028-4 : TPTP v8.2.0. Released v1.1.0.
% Domain : Puzzles
% Problem : People at a party
% Version : [SETHEO] axioms : Especial.
% Theorem formulation : Grounded axioms and simplified.
% English : We can always choose 3 persons who are either familiar
% with each other or not familiar with each other, from 6
% persons who meet at a party.
% Refs :
% Source : [SETHEO]
% Names : ramsey3a.lop [SETHEO]
% Status : Satisfiable
% Rating : 0.00 v2.4.0, 0.00 v2.0.0
% Syntax : Number of clauses : 270 ( 0 unt; 30 nHn; 270 RR)
% Number of literals : 780 ( 0 equ; 720 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% SPC : CNF_SAT_EPR_NEQ
% Comments : This version is satisfiable because familiarity is not meant in
% a symmetric way.
%--------------------------------------------------------------------------
%---- ++familiar(X,Y),
%---- ++not_familiar(X,Y),
%----All ground instances of the above clause:
%----X=1
%----Y-6
cnf(familiar_or_not_1_2,axiom,
( familiar(n1,n2)
| not_familiar(n1,n2) ) ).
cnf(familiar_or_not_1_3,axiom,
( familiar(n1,n3)
| not_familiar(n1,n3) ) ).
cnf(familiar_or_not_1_4,axiom,
( familiar(n1,n4)
| not_familiar(n1,n4) ) ).
cnf(familiar_or_not_1_5,axiom,
( familiar(n1,n5)
| not_familiar(n1,n5) ) ).
cnf(familiar_or_not_1_6,axiom,
( familiar(n1,n6)
| not_familiar(n1,n6) ) ).
%----X=2
%----Y-6
cnf(familiar_or_not_2_1,axiom,
( familiar(n2,n1)
| not_familiar(n2,n1) ) ).
cnf(familiar_or_not_2_3,axiom,
( familiar(n2,n3)
| not_familiar(n2,n3) ) ).
cnf(familiar_or_not_2_4,axiom,
( familiar(n2,n4)
| not_familiar(n2,n4) ) ).
cnf(familiar_or_not_2_5,axiom,
( familiar(n2,n5)
| not_familiar(n2,n5) ) ).
cnf(familiar_or_not_2_6,axiom,
( familiar(n2,n6)
| not_familiar(n2,n6) ) ).
%----X=3
%----Y-6
cnf(familiar_or_not_3_1,axiom,
( familiar(n3,n1)
| not_familiar(n3,n1) ) ).
cnf(familiar_or_not_3_2,axiom,
( familiar(n3,n2)
| not_familiar(n3,n2) ) ).
cnf(familiar_or_not_3_4,axiom,
( familiar(n3,n4)
| not_familiar(n3,n4) ) ).
cnf(familiar_or_not_3_5,axiom,
( familiar(n3,n5)
| not_familiar(n3,n5) ) ).
cnf(familiar_or_not_3_6,axiom,
( familiar(n3,n6)
| not_familiar(n3,n6) ) ).
%----X=4
%----Y-6
cnf(familiar_or_not_4_1,axiom,
( familiar(n4,n1)
| not_familiar(n4,n1) ) ).
cnf(familiar_or_not_4_2,axiom,
( familiar(n4,n2)
| not_familiar(n4,n2) ) ).
cnf(familiar_or_not_4_3,axiom,
( familiar(n4,n3)
| not_familiar(n4,n3) ) ).
cnf(familiar_or_not_4_5,axiom,
( familiar(n4,n5)
| not_familiar(n4,n5) ) ).
cnf(familiar_or_not_4_6,axiom,
( familiar(n4,n6)
| not_familiar(n4,n6) ) ).
%----X=5
%----Y-6
cnf(familiar_or_not_5_1,axiom,
( familiar(n5,n1)
| not_familiar(n5,n1) ) ).
cnf(familiar_or_not_5_2,axiom,
( familiar(n5,n2)
| not_familiar(n5,n2) ) ).
cnf(familiar_or_not_5_3,axiom,
( familiar(n5,n3)
| not_familiar(n5,n3) ) ).
cnf(familiar_or_not_5_4,axiom,
( familiar(n5,n4)
| not_familiar(n5,n4) ) ).
cnf(familiar_or_not_5_6,axiom,
( familiar(n5,n6)
| not_familiar(n5,n6) ) ).
%----X=6
%----Y-6
cnf(familiar_or_not_6_1,axiom,
( familiar(n6,n1)
| not_familiar(n6,n1) ) ).
cnf(familiar_or_not_6_2,axiom,
( familiar(n6,n2)
| not_familiar(n6,n2) ) ).
cnf(familiar_or_not_6_3,axiom,
( familiar(n6,n3)
| not_familiar(n6,n3) ) ).
cnf(familiar_or_not_6_4,axiom,
( familiar(n6,n4)
| not_familiar(n6,n4) ) ).
cnf(familiar_or_not_6_5,axiom,
( familiar(n6,n5)
| not_familiar(n6,n5) ) ).
%---- --familiar(X1,X2),
%---- --familiar(X2,X3),
%---- --familiar(X3,X1)]).
%----All ground instances of the above clause:
%----X=1
%----Y=1
%----Z-6
%----X=1
%----Y=2
%----Z-6
cnf(three_familiar_1_2_3,negated_conjecture,
( ~ familiar(n1,n2)
| ~ familiar(n2,n3)
| ~ familiar(n3,n1) ) ).
cnf(three_familiar_1_2_4,negated_conjecture,
( ~ familiar(n1,n2)
| ~ familiar(n2,n4)
| ~ familiar(n4,n1) ) ).
cnf(three_familiar_1_2_5,negated_conjecture,
( ~ familiar(n1,n2)
| ~ familiar(n2,n5)
| ~ familiar(n5,n1) ) ).
cnf(three_familiar_1_2_6,negated_conjecture,
( ~ familiar(n1,n2)
| ~ familiar(n2,n6)
| ~ familiar(n6,n1) ) ).
%----X=1
%----Y=3
%----Z-6
cnf(three_familiar_1_3_2,negated_conjecture,
( ~ familiar(n1,n3)
| ~ familiar(n3,n2)
| ~ familiar(n2,n1) ) ).
cnf(three_familiar_1_3_4,negated_conjecture,
( ~ familiar(n1,n3)
| ~ familiar(n3,n4)
| ~ familiar(n4,n1) ) ).
cnf(three_familiar_1_3_5,negated_conjecture,
( ~ familiar(n1,n3)
| ~ familiar(n3,n5)
| ~ familiar(n5,n1) ) ).
cnf(three_familiar_1_3_6,negated_conjecture,
( ~ familiar(n1,n3)
| ~ familiar(n3,n6)
| ~ familiar(n6,n1) ) ).
%----X=1
%----Y=4
%----Z-6
cnf(three_familiar_1_4_2,negated_conjecture,
( ~ familiar(n1,n4)
| ~ familiar(n4,n2)
| ~ familiar(n2,n1) ) ).
cnf(three_familiar_1_4_3,negated_conjecture,
( ~ familiar(n1,n4)
| ~ familiar(n4,n3)
| ~ familiar(n3,n1) ) ).
cnf(three_familiar_1_4_5,negated_conjecture,
( ~ familiar(n1,n4)
| ~ familiar(n4,n5)
| ~ familiar(n5,n1) ) ).
cnf(three_familiar_1_4_6,negated_conjecture,
( ~ familiar(n1,n4)
| ~ familiar(n4,n6)
| ~ familiar(n6,n1) ) ).
%----X=1
%----Y=5
%----Z-6
cnf(three_familiar_1_5_2,negated_conjecture,
( ~ familiar(n1,n5)
| ~ familiar(n5,n2)
| ~ familiar(n2,n1) ) ).
cnf(three_familiar_1_5_3,negated_conjecture,
( ~ familiar(n1,n5)
| ~ familiar(n5,n3)
| ~ familiar(n3,n1) ) ).
cnf(three_familiar_1_5_4,negated_conjecture,
( ~ familiar(n1,n5)
| ~ familiar(n5,n4)
| ~ familiar(n4,n1) ) ).
cnf(three_familiar_1_5_6,negated_conjecture,
( ~ familiar(n1,n5)
| ~ familiar(n5,n6)
| ~ familiar(n6,n1) ) ).
%----X=1
%----Y=6
%----Z-6
cnf(three_familiar_1_6_2,negated_conjecture,
( ~ familiar(n1,n6)
| ~ familiar(n6,n2)
| ~ familiar(n2,n1) ) ).
cnf(three_familiar_1_6_3,negated_conjecture,
( ~ familiar(n1,n6)
| ~ familiar(n6,n3)
| ~ familiar(n3,n1) ) ).
cnf(three_familiar_1_6_4,negated_conjecture,
( ~ familiar(n1,n6)
| ~ familiar(n6,n4)
| ~ familiar(n4,n1) ) ).
cnf(three_familiar_1_6_5,negated_conjecture,
( ~ familiar(n1,n6)
| ~ familiar(n6,n5)
| ~ familiar(n5,n1) ) ).
%----X=2
%----Y=1
%----Z-6
cnf(three_familiar_2_1_3,negated_conjecture,
( ~ familiar(n2,n1)
| ~ familiar(n1,n3)
| ~ familiar(n3,n2) ) ).
cnf(three_familiar_2_1_4,negated_conjecture,
( ~ familiar(n2,n1)
| ~ familiar(n1,n4)
| ~ familiar(n4,n2) ) ).
cnf(three_familiar_2_1_5,negated_conjecture,
( ~ familiar(n2,n1)
| ~ familiar(n1,n5)
| ~ familiar(n5,n2) ) ).
cnf(three_familiar_2_1_6,negated_conjecture,
( ~ familiar(n2,n1)
| ~ familiar(n1,n6)
| ~ familiar(n6,n2) ) ).
%----X=2
%----Y=2
%----Z-6
%----X=2
%----Y=3
%----Z-6
cnf(three_familiar_2_3_1,negated_conjecture,
( ~ familiar(n2,n3)
| ~ familiar(n3,n1)
| ~ familiar(n1,n2) ) ).
cnf(three_familiar_2_3_4,negated_conjecture,
( ~ familiar(n2,n3)
| ~ familiar(n3,n4)
| ~ familiar(n4,n2) ) ).
cnf(three_familiar_2_3_5,negated_conjecture,
( ~ familiar(n2,n3)
| ~ familiar(n3,n5)
| ~ familiar(n5,n2) ) ).
cnf(three_familiar_2_3_6,negated_conjecture,
( ~ familiar(n2,n3)
| ~ familiar(n3,n6)
| ~ familiar(n6,n2) ) ).
%----X=2
%----Y=4
%----Z-6
cnf(three_familiar_2_4_1,negated_conjecture,
( ~ familiar(n2,n4)
| ~ familiar(n4,n1)
| ~ familiar(n1,n2) ) ).
cnf(three_familiar_2_4_3,negated_conjecture,
( ~ familiar(n2,n4)
| ~ familiar(n4,n3)
| ~ familiar(n3,n2) ) ).
cnf(three_familiar_2_4_5,negated_conjecture,
( ~ familiar(n2,n4)
| ~ familiar(n4,n5)
| ~ familiar(n5,n2) ) ).
cnf(three_familiar_2_4_6,negated_conjecture,
( ~ familiar(n2,n4)
| ~ familiar(n4,n6)
| ~ familiar(n6,n2) ) ).
%----X=2
%----Y=5
%----Z-6
cnf(three_familiar_2_5_1,negated_conjecture,
( ~ familiar(n2,n5)
| ~ familiar(n5,n1)
| ~ familiar(n1,n2) ) ).
cnf(three_familiar_2_5_3,negated_conjecture,
( ~ familiar(n2,n5)
| ~ familiar(n5,n3)
| ~ familiar(n3,n2) ) ).
cnf(three_familiar_2_5_4,negated_conjecture,
( ~ familiar(n2,n5)
| ~ familiar(n5,n4)
| ~ familiar(n4,n2) ) ).
cnf(three_familiar_2_5_6,negated_conjecture,
( ~ familiar(n2,n5)
| ~ familiar(n5,n6)
| ~ familiar(n6,n2) ) ).
%----X=2
%----Y=6
%----Z-6
cnf(three_familiar_2_6_1,negated_conjecture,
( ~ familiar(n2,n6)
| ~ familiar(n6,n1)
| ~ familiar(n1,n2) ) ).
cnf(three_familiar_2_6_3,negated_conjecture,
( ~ familiar(n2,n6)
| ~ familiar(n6,n3)
| ~ familiar(n3,n2) ) ).
cnf(three_familiar_2_6_4,negated_conjecture,
( ~ familiar(n2,n6)
| ~ familiar(n6,n4)
| ~ familiar(n4,n2) ) ).
cnf(three_familiar_2_6_5,negated_conjecture,
( ~ familiar(n2,n6)
| ~ familiar(n6,n5)
| ~ familiar(n5,n2) ) ).
%----X=3
%----Y=1
%----Z-1
cnf(three_familiar_3_1_2,negated_conjecture,
( ~ familiar(n3,n1)
| ~ familiar(n1,n2)
| ~ familiar(n2,n3) ) ).
cnf(three_familiar_3_1_4,negated_conjecture,
( ~ familiar(n3,n1)
| ~ familiar(n1,n4)
| ~ familiar(n4,n3) ) ).
cnf(three_familiar_3_1_5,negated_conjecture,
( ~ familiar(n3,n1)
| ~ familiar(n1,n5)
| ~ familiar(n5,n3) ) ).
cnf(three_familiar_3_1_6,negated_conjecture,
( ~ familiar(n3,n1)
| ~ familiar(n1,n6)
| ~ familiar(n6,n3) ) ).
%----X=3
%----Y=2
%----Z-6
cnf(three_familiar_3_2_1,negated_conjecture,
( ~ familiar(n3,n2)
| ~ familiar(n2,n1)
| ~ familiar(n1,n3) ) ).
cnf(three_familiar_3_2_4,negated_conjecture,
( ~ familiar(n3,n2)
| ~ familiar(n2,n4)
| ~ familiar(n4,n3) ) ).
cnf(three_familiar_3_2_5,negated_conjecture,
( ~ familiar(n3,n2)
| ~ familiar(n2,n5)
| ~ familiar(n5,n3) ) ).
cnf(three_familiar_3_2_6,negated_conjecture,
( ~ familiar(n3,n2)
| ~ familiar(n2,n6)
| ~ familiar(n6,n3) ) ).
%----X=3
%----Y=3
%----Z-6
%----X=3
%----Y=4
%----Z-6
cnf(three_familiar_3_4_1,negated_conjecture,
( ~ familiar(n3,n4)
| ~ familiar(n4,n1)
| ~ familiar(n1,n3) ) ).
cnf(three_familiar_3_4_2,negated_conjecture,
( ~ familiar(n3,n4)
| ~ familiar(n4,n2)
| ~ familiar(n2,n3) ) ).
cnf(three_familiar_3_4_5,negated_conjecture,
( ~ familiar(n3,n4)
| ~ familiar(n4,n5)
| ~ familiar(n5,n3) ) ).
cnf(three_familiar_3_4_6,negated_conjecture,
( ~ familiar(n3,n4)
| ~ familiar(n4,n6)
| ~ familiar(n6,n3) ) ).
%----X=3
%----Y=5
%----Z-6
cnf(three_familiar_3_5_1,negated_conjecture,
( ~ familiar(n3,n5)
| ~ familiar(n5,n1)
| ~ familiar(n1,n3) ) ).
cnf(three_familiar_3_5_2,negated_conjecture,
( ~ familiar(n3,n5)
| ~ familiar(n5,n2)
| ~ familiar(n2,n3) ) ).
cnf(three_familiar_3_5_4,negated_conjecture,
( ~ familiar(n3,n5)
| ~ familiar(n5,n4)
| ~ familiar(n4,n3) ) ).
cnf(three_familiar_3_5_6,negated_conjecture,
( ~ familiar(n3,n5)
| ~ familiar(n5,n6)
| ~ familiar(n6,n3) ) ).
%----X=3
%----Y=6
%----Z-6
cnf(three_familiar_3_6_1,negated_conjecture,
( ~ familiar(n3,n6)
| ~ familiar(n6,n1)
| ~ familiar(n1,n3) ) ).
cnf(three_familiar_3_6_2,negated_conjecture,
( ~ familiar(n3,n6)
| ~ familiar(n6,n2)
| ~ familiar(n2,n3) ) ).
cnf(three_familiar_3_6_4,negated_conjecture,
( ~ familiar(n3,n6)
| ~ familiar(n6,n4)
| ~ familiar(n4,n3) ) ).
cnf(three_familiar_3_6_5,negated_conjecture,
( ~ familiar(n3,n6)
| ~ familiar(n6,n5)
| ~ familiar(n5,n3) ) ).
%----X=4
%----Y=1
%----Z-6
cnf(three_familiar_4_1_2,negated_conjecture,
( ~ familiar(n4,n1)
| ~ familiar(n1,n2)
| ~ familiar(n2,n4) ) ).
cnf(three_familiar_4_1_3,negated_conjecture,
( ~ familiar(n4,n1)
| ~ familiar(n1,n3)
| ~ familiar(n3,n4) ) ).
cnf(three_familiar_4_1_5,negated_conjecture,
( ~ familiar(n4,n1)
| ~ familiar(n1,n5)
| ~ familiar(n5,n4) ) ).
cnf(three_familiar_4_1_6,negated_conjecture,
( ~ familiar(n4,n1)
| ~ familiar(n1,n6)
| ~ familiar(n6,n4) ) ).
%----X=4
%----Y=2
%----Z-6
cnf(three_familiar_4_2_1,negated_conjecture,
( ~ familiar(n4,n2)
| ~ familiar(n2,n1)
| ~ familiar(n1,n4) ) ).
cnf(three_familiar_4_2_3,negated_conjecture,
( ~ familiar(n4,n2)
| ~ familiar(n2,n3)
| ~ familiar(n3,n4) ) ).
cnf(three_familiar_4_2_5,negated_conjecture,
( ~ familiar(n4,n2)
| ~ familiar(n2,n5)
| ~ familiar(n5,n4) ) ).
cnf(three_familiar_4_2_6,negated_conjecture,
( ~ familiar(n4,n2)
| ~ familiar(n2,n6)
| ~ familiar(n6,n4) ) ).
%----X=4
%----Y=3
%----Z-6
cnf(three_familiar_4_3_1,negated_conjecture,
( ~ familiar(n4,n3)
| ~ familiar(n3,n1)
| ~ familiar(n1,n4) ) ).
cnf(three_familiar_4_3_2,negated_conjecture,
( ~ familiar(n4,n3)
| ~ familiar(n3,n2)
| ~ familiar(n2,n4) ) ).
cnf(three_familiar_4_3_5,negated_conjecture,
( ~ familiar(n4,n3)
| ~ familiar(n3,n5)
| ~ familiar(n5,n4) ) ).
cnf(three_familiar_4_3_6,negated_conjecture,
( ~ familiar(n4,n3)
| ~ familiar(n3,n6)
| ~ familiar(n6,n4) ) ).
%----X=4
%----Y=4
%----Z-6
%----X=4
%----Y=5
%----Z-6
cnf(three_familiar_4_5_1,negated_conjecture,
( ~ familiar(n4,n5)
| ~ familiar(n5,n1)
| ~ familiar(n1,n4) ) ).
cnf(three_familiar_4_5_2,negated_conjecture,
( ~ familiar(n4,n5)
| ~ familiar(n5,n2)
| ~ familiar(n2,n4) ) ).
cnf(three_familiar_4_5_3,negated_conjecture,
( ~ familiar(n4,n5)
| ~ familiar(n5,n3)
| ~ familiar(n3,n4) ) ).
cnf(three_familiar_4_5_6,negated_conjecture,
( ~ familiar(n4,n5)
| ~ familiar(n5,n6)
| ~ familiar(n6,n4) ) ).
%----X=4
%----Y=6
%----Z-6
cnf(three_familiar_4_6_1,negated_conjecture,
( ~ familiar(n4,n6)
| ~ familiar(n6,n1)
| ~ familiar(n1,n4) ) ).
cnf(three_familiar_4_6_2,negated_conjecture,
( ~ familiar(n4,n6)
| ~ familiar(n6,n2)
| ~ familiar(n2,n4) ) ).
cnf(three_familiar_4_6_3,negated_conjecture,
( ~ familiar(n4,n6)
| ~ familiar(n6,n3)
| ~ familiar(n3,n4) ) ).
cnf(three_familiar_4_6_5,negated_conjecture,
( ~ familiar(n4,n6)
| ~ familiar(n6,n5)
| ~ familiar(n5,n4) ) ).
%----X=5
%----Y=1
%----Z-6
cnf(three_familiar_5_1_2,negated_conjecture,
( ~ familiar(n5,n1)
| ~ familiar(n1,n2)
| ~ familiar(n2,n5) ) ).
cnf(three_familiar_5_1_3,negated_conjecture,
( ~ familiar(n5,n1)
| ~ familiar(n1,n3)
| ~ familiar(n3,n5) ) ).
cnf(three_familiar_5_1_4,negated_conjecture,
( ~ familiar(n5,n1)
| ~ familiar(n1,n4)
| ~ familiar(n4,n5) ) ).
cnf(three_familiar_5_1_6,negated_conjecture,
( ~ familiar(n5,n1)
| ~ familiar(n1,n6)
| ~ familiar(n6,n5) ) ).
%----X=5
%----Y=2
%----Z-6
cnf(three_familiar_5_2_1,negated_conjecture,
( ~ familiar(n5,n2)
| ~ familiar(n2,n1)
| ~ familiar(n1,n5) ) ).
cnf(three_familiar_5_2_3,negated_conjecture,
( ~ familiar(n5,n2)
| ~ familiar(n2,n3)
| ~ familiar(n3,n5) ) ).
cnf(three_familiar_5_2_4,negated_conjecture,
( ~ familiar(n5,n2)
| ~ familiar(n2,n4)
| ~ familiar(n4,n5) ) ).
cnf(three_familiar_5_2_6,negated_conjecture,
( ~ familiar(n5,n2)
| ~ familiar(n2,n6)
| ~ familiar(n6,n5) ) ).
%----X=5
%----Y=3
%----Z-6
cnf(three_familiar_5_3_1,negated_conjecture,
( ~ familiar(n5,n3)
| ~ familiar(n3,n1)
| ~ familiar(n1,n5) ) ).
cnf(three_familiar_5_3_2,negated_conjecture,
( ~ familiar(n5,n3)
| ~ familiar(n3,n2)
| ~ familiar(n2,n5) ) ).
cnf(three_familiar_5_3_4,negated_conjecture,
( ~ familiar(n5,n3)
| ~ familiar(n3,n4)
| ~ familiar(n4,n5) ) ).
cnf(three_familiar_5_3_6,negated_conjecture,
( ~ familiar(n5,n3)
| ~ familiar(n3,n6)
| ~ familiar(n6,n5) ) ).
%----X=5
%----Y=4
%----Z-6
cnf(three_familiar_5_4_1,negated_conjecture,
( ~ familiar(n5,n4)
| ~ familiar(n4,n1)
| ~ familiar(n1,n5) ) ).
cnf(three_familiar_5_4_2,negated_conjecture,
( ~ familiar(n5,n4)
| ~ familiar(n4,n2)
| ~ familiar(n2,n5) ) ).
cnf(three_familiar_5_4_3,negated_conjecture,
( ~ familiar(n5,n4)
| ~ familiar(n4,n3)
| ~ familiar(n3,n5) ) ).
cnf(three_familiar_5_4_6,negated_conjecture,
( ~ familiar(n5,n4)
| ~ familiar(n4,n6)
| ~ familiar(n6,n5) ) ).
%----X=5
%----Y=5
%----Z-6
%----X=5
%----Y=6
%----Z-6
cnf(three_familiar_5_6_1,negated_conjecture,
( ~ familiar(n5,n6)
| ~ familiar(n6,n1)
| ~ familiar(n1,n5) ) ).
cnf(three_familiar_5_6_2,negated_conjecture,
( ~ familiar(n5,n6)
| ~ familiar(n6,n2)
| ~ familiar(n2,n5) ) ).
cnf(three_familiar_5_6_3,negated_conjecture,
( ~ familiar(n5,n6)
| ~ familiar(n6,n3)
| ~ familiar(n3,n5) ) ).
cnf(three_familiar_5_6_4,negated_conjecture,
( ~ familiar(n5,n6)
| ~ familiar(n6,n4)
| ~ familiar(n4,n5) ) ).
%----X=6
%----Y=1
%----Z-6
cnf(three_familiar_6_1_2,negated_conjecture,
( ~ familiar(n6,n1)
| ~ familiar(n1,n2)
| ~ familiar(n2,n6) ) ).
cnf(three_familiar_6_1_3,negated_conjecture,
( ~ familiar(n6,n1)
| ~ familiar(n1,n3)
| ~ familiar(n3,n6) ) ).
cnf(three_familiar_6_1_4,negated_conjecture,
( ~ familiar(n6,n1)
| ~ familiar(n1,n4)
| ~ familiar(n4,n6) ) ).
cnf(three_familiar_6_1_5,negated_conjecture,
( ~ familiar(n6,n1)
| ~ familiar(n1,n5)
| ~ familiar(n5,n6) ) ).
%----X=6
%----Y=2
%----Z-6
cnf(three_familiar_6_2_1,negated_conjecture,
( ~ familiar(n6,n2)
| ~ familiar(n2,n1)
| ~ familiar(n1,n6) ) ).
cnf(three_familiar_6_2_3,negated_conjecture,
( ~ familiar(n6,n2)
| ~ familiar(n2,n3)
| ~ familiar(n3,n6) ) ).
cnf(three_familiar_6_2_4,negated_conjecture,
( ~ familiar(n6,n2)
| ~ familiar(n2,n4)
| ~ familiar(n4,n6) ) ).
cnf(three_familiar_6_2_5,negated_conjecture,
( ~ familiar(n6,n2)
| ~ familiar(n2,n5)
| ~ familiar(n5,n6) ) ).
%----X=6
%----Y=3
%----Z-6
cnf(three_familiar_6_3_1,negated_conjecture,
( ~ familiar(n6,n3)
| ~ familiar(n3,n1)
| ~ familiar(n1,n6) ) ).
cnf(three_familiar_6_3_2,negated_conjecture,
( ~ familiar(n6,n3)
| ~ familiar(n3,n2)
| ~ familiar(n2,n6) ) ).
cnf(three_familiar_6_3_4,negated_conjecture,
( ~ familiar(n6,n3)
| ~ familiar(n3,n4)
| ~ familiar(n4,n6) ) ).
cnf(three_familiar_6_3_5,negated_conjecture,
( ~ familiar(n6,n3)
| ~ familiar(n3,n5)
| ~ familiar(n5,n6) ) ).
%----X=6
%----Y=4
%----Z-6
cnf(three_familiar_6_4_1,negated_conjecture,
( ~ familiar(n6,n4)
| ~ familiar(n4,n1)
| ~ familiar(n1,n6) ) ).
cnf(three_familiar_6_4_2,negated_conjecture,
( ~ familiar(n6,n4)
| ~ familiar(n4,n2)
| ~ familiar(n2,n6) ) ).
cnf(three_familiar_6_4_3,negated_conjecture,
( ~ familiar(n6,n4)
| ~ familiar(n4,n3)
| ~ familiar(n3,n6) ) ).
cnf(three_familiar_6_4_5,negated_conjecture,
( ~ familiar(n6,n4)
| ~ familiar(n4,n5)
| ~ familiar(n5,n6) ) ).
%----X=6
%----Y=5
%----Z-6
cnf(three_familiar_6_5_1,negated_conjecture,
( ~ familiar(n6,n5)
| ~ familiar(n5,n1)
| ~ familiar(n1,n6) ) ).
cnf(three_familiar_6_5_2,negated_conjecture,
( ~ familiar(n6,n5)
| ~ familiar(n5,n2)
| ~ familiar(n2,n6) ) ).
cnf(three_familiar_6_5_3,negated_conjecture,
( ~ familiar(n6,n5)
| ~ familiar(n5,n3)
| ~ familiar(n3,n6) ) ).
cnf(three_familiar_6_5_4,negated_conjecture,
( ~ familiar(n6,n5)
| ~ familiar(n5,n4)
| ~ familiar(n4,n6) ) ).
%----X=6
%----Y=6
%----Z-6
%---- --not_familiar(X1,X2),
%---- --not_familiar(X2,X3),
%---- --not_familiar(X3,X1)]).
%----All ground instances of the above clause:
%----X=1
%----Y=1
%----Z-6
%----X=1
%----Y=2
%----Z-6
cnf(three_not_familiar_1_2_3,negated_conjecture,
( ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n1) ) ).
cnf(three_not_familiar_1_2_4,negated_conjecture,
( ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n1) ) ).
cnf(three_not_familiar_1_2_5,negated_conjecture,
( ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n1) ) ).
cnf(three_not_familiar_1_2_6,negated_conjecture,
( ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n1) ) ).
%----X=1
%----Y=3
%----Z-6
cnf(three_not_familiar_1_3_2,negated_conjecture,
( ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n1) ) ).
cnf(three_not_familiar_1_3_4,negated_conjecture,
( ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n1) ) ).
cnf(three_not_familiar_1_3_5,negated_conjecture,
( ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n1) ) ).
cnf(three_not_familiar_1_3_6,negated_conjecture,
( ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n1) ) ).
%----X=1
%----Y=4
%----Z-6
cnf(three_not_familiar_1_4_2,negated_conjecture,
( ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n1) ) ).
cnf(three_not_familiar_1_4_3,negated_conjecture,
( ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n1) ) ).
cnf(three_not_familiar_1_4_5,negated_conjecture,
( ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n1) ) ).
cnf(three_not_familiar_1_4_6,negated_conjecture,
( ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n1) ) ).
%----X=1
%----Y=5
%----Z-6
cnf(three_not_familiar_1_5_2,negated_conjecture,
( ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n1) ) ).
cnf(three_not_familiar_1_5_3,negated_conjecture,
( ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n1) ) ).
cnf(three_not_familiar_1_5_4,negated_conjecture,
( ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n1) ) ).
cnf(three_not_familiar_1_5_6,negated_conjecture,
( ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n1) ) ).
%----X=1
%----Y=6
%----Z-6
cnf(three_not_familiar_1_6_2,negated_conjecture,
( ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n1) ) ).
cnf(three_not_familiar_1_6_3,negated_conjecture,
( ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n1) ) ).
cnf(three_not_familiar_1_6_4,negated_conjecture,
( ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n1) ) ).
cnf(three_not_familiar_1_6_5,negated_conjecture,
( ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n1) ) ).
%----X=2
%----Y=1
%----Z-6
cnf(three_not_familiar_2_1_3,negated_conjecture,
( ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n2) ) ).
cnf(three_not_familiar_2_1_4,negated_conjecture,
( ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n2) ) ).
cnf(three_not_familiar_2_1_5,negated_conjecture,
( ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n2) ) ).
cnf(three_not_familiar_2_1_6,negated_conjecture,
( ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n2) ) ).
%----X=2
%----Y=2
%----Z-6
%----X=2
%----Y=3
%----Z-6
cnf(three_not_familiar_2_3_1,negated_conjecture,
( ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n2) ) ).
cnf(three_not_familiar_2_3_4,negated_conjecture,
( ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n2) ) ).
cnf(three_not_familiar_2_3_5,negated_conjecture,
( ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n2) ) ).
cnf(three_not_familiar_2_3_6,negated_conjecture,
( ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n2) ) ).
%----X=2
%----Y=4
%----Z-6
cnf(three_not_familiar_2_4_1,negated_conjecture,
( ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n2) ) ).
cnf(three_not_familiar_2_4_3,negated_conjecture,
( ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n2) ) ).
cnf(three_not_familiar_2_4_5,negated_conjecture,
( ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n2) ) ).
cnf(three_not_familiar_2_4_6,negated_conjecture,
( ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n2) ) ).
%----X=2
%----Y=5
%----Z-6
cnf(three_not_familiar_2_5_1,negated_conjecture,
( ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n2) ) ).
cnf(three_not_familiar_2_5_3,negated_conjecture,
( ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n2) ) ).
cnf(three_not_familiar_2_5_4,negated_conjecture,
( ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n2) ) ).
cnf(three_not_familiar_2_5_6,negated_conjecture,
( ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n2) ) ).
%----X=2
%----Y=6
%----Z-6
cnf(three_not_familiar_2_6_1,negated_conjecture,
( ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n2) ) ).
cnf(three_not_familiar_2_6_3,negated_conjecture,
( ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n2) ) ).
cnf(three_not_familiar_2_6_4,negated_conjecture,
( ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n2) ) ).
cnf(three_not_familiar_2_6_5,negated_conjecture,
( ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n2) ) ).
%----X=3
%----Y=1
%----Z-1
cnf(three_not_familiar_3_1_2,negated_conjecture,
( ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n3) ) ).
cnf(three_not_familiar_3_1_4,negated_conjecture,
( ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n3) ) ).
cnf(three_not_familiar_3_1_5,negated_conjecture,
( ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n3) ) ).
cnf(three_not_familiar_3_1_6,negated_conjecture,
( ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n3) ) ).
%----X=3
%----Y=2
%----Z-6
cnf(three_not_familiar_3_2_1,negated_conjecture,
( ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n3) ) ).
cnf(three_not_familiar_3_2_4,negated_conjecture,
( ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n3) ) ).
cnf(three_not_familiar_3_2_5,negated_conjecture,
( ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n3) ) ).
cnf(three_not_familiar_3_2_6,negated_conjecture,
( ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n3) ) ).
%----X=3
%----Y=3
%----Z-6
%----X=3
%----Y=4
%----Z-6
cnf(three_not_familiar_3_4_1,negated_conjecture,
( ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n3) ) ).
cnf(three_not_familiar_3_4_2,negated_conjecture,
( ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n3) ) ).
cnf(three_not_familiar_3_4_5,negated_conjecture,
( ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n3) ) ).
cnf(three_not_familiar_3_4_6,negated_conjecture,
( ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n3) ) ).
%----X=3
%----Y=5
%----Z-6
cnf(three_not_familiar_3_5_1,negated_conjecture,
( ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n3) ) ).
cnf(three_not_familiar_3_5_2,negated_conjecture,
( ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n3) ) ).
cnf(three_not_familiar_3_5_4,negated_conjecture,
( ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n3) ) ).
cnf(three_not_familiar_3_5_6,negated_conjecture,
( ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n3) ) ).
%----X=3
%----Y=6
%----Z-6
cnf(three_not_familiar_3_6_1,negated_conjecture,
( ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n3) ) ).
cnf(three_not_familiar_3_6_2,negated_conjecture,
( ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n3) ) ).
cnf(three_not_familiar_3_6_4,negated_conjecture,
( ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n3) ) ).
cnf(three_not_familiar_3_6_5,negated_conjecture,
( ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n3) ) ).
%----X=4
%----Y=1
%----Z-6
cnf(three_not_familiar_4_1_2,negated_conjecture,
( ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n4) ) ).
cnf(three_not_familiar_4_1_3,negated_conjecture,
( ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n4) ) ).
cnf(three_not_familiar_4_1_5,negated_conjecture,
( ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n4) ) ).
cnf(three_not_familiar_4_1_6,negated_conjecture,
( ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n4) ) ).
%----X=4
%----Y=2
%----Z-6
cnf(three_not_familiar_4_2_1,negated_conjecture,
( ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n4) ) ).
cnf(three_not_familiar_4_2_3,negated_conjecture,
( ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n4) ) ).
cnf(three_not_familiar_4_2_5,negated_conjecture,
( ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n4) ) ).
cnf(three_not_familiar_4_2_6,negated_conjecture,
( ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n4) ) ).
%----X=4
%----Y=3
%----Z-6
cnf(three_not_familiar_4_3_1,negated_conjecture,
( ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n4) ) ).
cnf(three_not_familiar_4_3_2,negated_conjecture,
( ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n4) ) ).
cnf(three_not_familiar_4_3_5,negated_conjecture,
( ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n4) ) ).
cnf(three_not_familiar_4_3_6,negated_conjecture,
( ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n4) ) ).
%----X=4
%----Y=4
%----Z-6
%----X=4
%----Y=5
%----Z-6
cnf(three_not_familiar_4_5_1,negated_conjecture,
( ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n4) ) ).
cnf(three_not_familiar_4_5_2,negated_conjecture,
( ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n4) ) ).
cnf(three_not_familiar_4_5_3,negated_conjecture,
( ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n4) ) ).
cnf(three_not_familiar_4_5_6,negated_conjecture,
( ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n4) ) ).
%----X=4
%----Y=6
%----Z-6
cnf(three_not_familiar_4_6_1,negated_conjecture,
( ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n4) ) ).
cnf(three_not_familiar_4_6_2,negated_conjecture,
( ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n4) ) ).
cnf(three_not_familiar_4_6_3,negated_conjecture,
( ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n4) ) ).
cnf(three_not_familiar_4_6_5,negated_conjecture,
( ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n4) ) ).
%----X=5
%----Y=1
%----Z-6
cnf(three_not_familiar_5_1_2,negated_conjecture,
( ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n5) ) ).
cnf(three_not_familiar_5_1_3,negated_conjecture,
( ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n5) ) ).
cnf(three_not_familiar_5_1_4,negated_conjecture,
( ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n5) ) ).
cnf(three_not_familiar_5_1_6,negated_conjecture,
( ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n6)
| ~ not_familiar(n6,n5) ) ).
%----X=5
%----Y=2
%----Z-6
cnf(three_not_familiar_5_2_1,negated_conjecture,
( ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n5) ) ).
cnf(three_not_familiar_5_2_3,negated_conjecture,
( ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n5) ) ).
cnf(three_not_familiar_5_2_4,negated_conjecture,
( ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n5) ) ).
cnf(three_not_familiar_5_2_6,negated_conjecture,
( ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n6)
| ~ not_familiar(n6,n5) ) ).
%----X=5
%----Y=3
%----Z-6
cnf(three_not_familiar_5_3_1,negated_conjecture,
( ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n5) ) ).
cnf(three_not_familiar_5_3_2,negated_conjecture,
( ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n5) ) ).
cnf(three_not_familiar_5_3_4,negated_conjecture,
( ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n5) ) ).
cnf(three_not_familiar_5_3_6,negated_conjecture,
( ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n6)
| ~ not_familiar(n6,n5) ) ).
%----X=5
%----Y=4
%----Z-6
cnf(three_not_familiar_5_4_1,negated_conjecture,
( ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n5) ) ).
cnf(three_not_familiar_5_4_2,negated_conjecture,
( ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n5) ) ).
cnf(three_not_familiar_5_4_3,negated_conjecture,
( ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n5) ) ).
cnf(three_not_familiar_5_4_6,negated_conjecture,
( ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n6)
| ~ not_familiar(n6,n5) ) ).
%----X=5
%----Y=5
%----Z-6
%----X=5
%----Y=6
%----Z-6
cnf(three_not_familiar_5_6_1,negated_conjecture,
( ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n5) ) ).
cnf(three_not_familiar_5_6_2,negated_conjecture,
( ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n5) ) ).
cnf(three_not_familiar_5_6_3,negated_conjecture,
( ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n5) ) ).
cnf(three_not_familiar_5_6_4,negated_conjecture,
( ~ not_familiar(n5,n6)
| ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n5) ) ).
%----X=6
%----Y=1
%----Z-6
cnf(three_not_familiar_6_1_2,negated_conjecture,
( ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n2)
| ~ not_familiar(n2,n6) ) ).
cnf(three_not_familiar_6_1_3,negated_conjecture,
( ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n3)
| ~ not_familiar(n3,n6) ) ).
cnf(three_not_familiar_6_1_4,negated_conjecture,
( ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n4)
| ~ not_familiar(n4,n6) ) ).
cnf(three_not_familiar_6_1_5,negated_conjecture,
( ~ not_familiar(n6,n1)
| ~ not_familiar(n1,n5)
| ~ not_familiar(n5,n6) ) ).
%----X=6
%----Y=2
%----Z-6
cnf(three_not_familiar_6_2_1,negated_conjecture,
( ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n1)
| ~ not_familiar(n1,n6) ) ).
cnf(three_not_familiar_6_2_3,negated_conjecture,
( ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n3)
| ~ not_familiar(n3,n6) ) ).
cnf(three_not_familiar_6_2_4,negated_conjecture,
( ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n4)
| ~ not_familiar(n4,n6) ) ).
cnf(three_not_familiar_6_2_5,negated_conjecture,
( ~ not_familiar(n6,n2)
| ~ not_familiar(n2,n5)
| ~ not_familiar(n5,n6) ) ).
%----X=6
%----Y=3
%----Z-6
cnf(three_not_familiar_6_3_1,negated_conjecture,
( ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n1)
| ~ not_familiar(n1,n6) ) ).
cnf(three_not_familiar_6_3_2,negated_conjecture,
( ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n2)
| ~ not_familiar(n2,n6) ) ).
cnf(three_not_familiar_6_3_4,negated_conjecture,
( ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n4)
| ~ not_familiar(n4,n6) ) ).
cnf(three_not_familiar_6_3_5,negated_conjecture,
( ~ not_familiar(n6,n3)
| ~ not_familiar(n3,n5)
| ~ not_familiar(n5,n6) ) ).
%----X=6
%----Y=4
%----Z-6
cnf(three_not_familiar_6_4_1,negated_conjecture,
( ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n1)
| ~ not_familiar(n1,n6) ) ).
cnf(three_not_familiar_6_4_2,negated_conjecture,
( ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n2)
| ~ not_familiar(n2,n6) ) ).
cnf(three_not_familiar_6_4_3,negated_conjecture,
( ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n3)
| ~ not_familiar(n3,n6) ) ).
cnf(three_not_familiar_6_4_5,negated_conjecture,
( ~ not_familiar(n6,n4)
| ~ not_familiar(n4,n5)
| ~ not_familiar(n5,n6) ) ).
%----X=6
%----Y=5
%----Z-6
cnf(three_not_familiar_6_5_1,negated_conjecture,
( ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n1)
| ~ not_familiar(n1,n6) ) ).
cnf(three_not_familiar_6_5_2,negated_conjecture,
( ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n2)
| ~ not_familiar(n2,n6) ) ).
cnf(three_not_familiar_6_5_3,negated_conjecture,
( ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n3)
| ~ not_familiar(n3,n6) ) ).
cnf(three_not_familiar_6_5_4,negated_conjecture,
( ~ not_familiar(n6,n5)
| ~ not_familiar(n5,n4)
| ~ not_familiar(n4,n6) ) ).
%----X=6
%----Y=6
%----Z-6
%--------------------------------------------------------------------------