## TPTP Problem File: SYN870-1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN870-1 : TPTP v8.1.0. Released v2.5.0.
% Domain   : Syntactic (Translated)
% Problem  : QBF, SSS - K=4 C=20 V=4 D=4.4
% Version  : Especial.
% English  :

% Refs     : [Sch99] Schmidt (1999), Decidability by Resolution for Proposit
%          : [HS00a] Hustadt & Schmidt (2000), MSPASS: Modal Reasoning by Tr
%          : [HS00b] Hustadt & Schmidt (2000), Issues of Decidability for De
%          : [Sch01] Schmidt (2001), Email to G. Sutcliffe
% Source   : [Sch01]
% Names    : p-qbf-cnfSSS-K4-C20-V4-D4.4 [Sch01]

% Status   : Satisfiable
% Rating   : 0.00 v7.3.0, 0.25 v7.0.0, 0.20 v6.4.0, 0.33 v6.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.20 v6.0.0, 0.33 v5.5.0, 0.00 v2.6.0, 0.17 v2.5.0
% Syntax   : Number of clauses     :   56 (   1 unt;  14 nHn;  22 RR)
%            Number of literals    :  780 (   0 equ; 710 neg)
%            Maximal clause size   :   24 (  13 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   40 (  40 usr;   1 prp; 0-20 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :  664 (  55 sgn)
% SPC      : CNF_SAT_EPR_NEQ

% Comments : Optimised functional translation in terms of n-ary predicates
%            for the modal QBF formulae.
%--------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
ssNder1_0 ).

cnf(clause2,negated_conjecture,
( ~ ssNder1_0
| ssNder1_1r1(U) ) ).

cnf(clause3,negated_conjecture,
( ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_2r1r1(U,V) ) ).

cnf(clause4,negated_conjecture,
( ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_3r1r1r1(U,V,W) ) ).

cnf(clause5,negated_conjecture,
( ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_4r1r1r1r1(U,V,W,X) ) ).

cnf(clause6,negated_conjecture,
( ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv16_5r1r1r1r1r1(U,V,W,X,skc30) ) ).

cnf(clause7,negated_conjecture,
( ~ ssPv16_5r1r1r1r1r1(U,V,W,X,skc31)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause8,negated_conjecture,
( ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_5r1r1r1r1r1(U,V,W,X,Y) ) ).

cnf(clause9,negated_conjecture,
( ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,skc28) ) ).

cnf(clause10,negated_conjecture,
( ~ ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,skc29)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause11,negated_conjecture,
( ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z) ) ).

cnf(clause12,negated_conjecture,
( ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,skc26) ) ).

cnf(clause13,negated_conjecture,
( ~ ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,skc27)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause14,negated_conjecture,
( ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1) ) ).

cnf(clause15,negated_conjecture,
( ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv13_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,skc24) ) ).

cnf(clause16,negated_conjecture,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,skc25)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause17,negated_conjecture,
( ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2) ) ).

cnf(clause18,negated_conjecture,
( ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3) ) ).

cnf(clause19,negated_conjecture,
( ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssPv18_3r1r1r1(U,V,W)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssPv20_1r1(U)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,Z) ) ).

cnf(clause20,negated_conjecture,
( ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4) ) ).

cnf(clause21,negated_conjecture,
( ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5) ) ).

cnf(clause22,negated_conjecture,
( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6) ) ).

cnf(clause23,negated_conjecture,
( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,skc22) ) ).

cnf(clause24,negated_conjecture,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,skc23)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause25,negated_conjecture,
( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7) ) ).

cnf(clause26,negated_conjecture,
( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,skc20) ) ).

cnf(clause27,negated_conjecture,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,skc21)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause28,negated_conjecture,
( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssPv16_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1) ) ).

cnf(clause29,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8) ) ).

cnf(clause30,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,skc18) ) ).

cnf(clause31,negated_conjecture,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,skc19)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause32,negated_conjecture,
( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssPv17_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssPv18_3r1r1r1(U,V,W)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause33,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssPv19_2r1r1(U,V)
| ~ ssNder1_2r1r1(U,V)
| ~ ssPv20_1r1(U)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause34,negated_conjecture,
( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ).

cnf(clause35,negated_conjecture,
( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc16) ) ).

cnf(clause36,negated_conjecture,
( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,skc17)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0 ) ).

cnf(clause37,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ssPv13_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2) ) ).

cnf(clause38,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4) ) ).

cnf(clause39,negated_conjecture,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv17_4r1r1r1r1(U,V,W,X) ) ).

cnf(clause40,negated_conjecture,
( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10) ) ).

cnf(clause41,negated_conjecture,
( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ssPv19_2r1r1(U,V) ) ).

cnf(clause42,negated_conjecture,
( ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ) ).

cnf(clause43,negated_conjecture,
( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ssPv17_4r1r1r1r1(U,V,W,X) ) ).

cnf(clause44,negated_conjecture,
( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ssPv20_1r1(U) ) ).

cnf(clause45,negated_conjecture,
( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12) ) ).

cnf(clause46,negated_conjecture,
( ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssPv20_1r1(U)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1) ) ).

cnf(clause47,negated_conjecture,
( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssPv20_1r1(U)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv13_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1) ) ).

cnf(clause48,negated_conjecture,
( ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ) ).

cnf(clause49,negated_conjecture,
( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ssPv20_1r1(U) ) ).

cnf(clause50,negated_conjecture,
( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv12_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3) ) ).

cnf(clause51,negated_conjecture,
( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssPv16_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ssPv20_1r1(U) ) ).

cnf(clause52,negated_conjecture,
( ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1) ) ).

cnf(clause53,negated_conjecture,
( ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ssPv15_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ssPv20_1r1(U) ) ).

cnf(clause54,negated_conjecture,
( ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9) ) ).

cnf(clause55,negated_conjecture,
( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssPv14_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssPv16_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14) ) ).

cnf(clause56,negated_conjecture,
( ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2)
| ~ ssNder1_7r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1)
| ~ ssNder1_6r1r1r1r1r1r1(U,V,W,X,Y,Z)
| ~ ssNder1_5r1r1r1r1r1(U,V,W,X,Y)
| ~ ssNder1_4r1r1r1r1(U,V,W,X)
| ~ ssNder1_3r1r1r1(U,V,W)
| ~ ssNder1_2r1r1(U,V)
| ~ ssNder1_1r1(U)
| ~ ssNder1_0
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(U,V,W,X,Y,Z,X1,X2,X3,X4,X5,X6,X7,X8) ) ).

%--------------------------------------------------------------------------
```