%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ015-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:11:43 EDT 2023

% Result   : Unsatisfiable 0.20s 0.73s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   71
%            Number of leaves      :  155
% Syntax   : Number of formulae    :  856 (  36 unt;  60 typ;   0 def)
%            Number of atoms       : 2391 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives : 2919 (1324   ~;1595   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   61 (  60 usr;  61 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    horizontal_1_1: $o ).

tff(decl_23,type,
    vertical_1_1: $o ).

tff(decl_24,type,
    horizontal_6_5: $o ).

tff(decl_25,type,
    vertical_5_6: $o ).

tff(decl_26,type,
    horizontal_1_2: $o ).

tff(decl_27,type,
    vertical_1_2: $o ).

tff(decl_28,type,
    horizontal_1_3: $o ).

tff(decl_29,type,
    vertical_1_3: $o ).

tff(decl_30,type,
    horizontal_1_4: $o ).

tff(decl_31,type,
    vertical_1_4: $o ).

tff(decl_32,type,
    horizontal_1_5: $o ).

tff(decl_33,type,
    vertical_1_5: $o ).

tff(decl_34,type,
    vertical_1_6: $o ).

tff(decl_35,type,
    horizontal_2_1: $o ).

tff(decl_36,type,
    vertical_2_1: $o ).

tff(decl_37,type,
    horizontal_2_2: $o ).

tff(decl_38,type,
    vertical_2_2: $o ).

tff(decl_39,type,
    horizontal_2_3: $o ).

tff(decl_40,type,
    vertical_2_3: $o ).

tff(decl_41,type,
    horizontal_2_4: $o ).

tff(decl_42,type,
    vertical_2_4: $o ).

tff(decl_43,type,
    horizontal_2_5: $o ).

tff(decl_44,type,
    vertical_2_5: $o ).

tff(decl_45,type,
    vertical_2_6: $o ).

tff(decl_46,type,
    horizontal_3_1: $o ).

tff(decl_47,type,
    vertical_3_1: $o ).

tff(decl_48,type,
    horizontal_3_2: $o ).

tff(decl_49,type,
    vertical_3_2: $o ).

tff(decl_50,type,
    horizontal_3_3: $o ).

tff(decl_51,type,
    vertical_3_3: $o ).

tff(decl_52,type,
    horizontal_3_4: $o ).

tff(decl_53,type,
    vertical_3_4: $o ).

tff(decl_54,type,
    horizontal_3_5: $o ).

tff(decl_55,type,
    vertical_3_5: $o ).

tff(decl_56,type,
    vertical_3_6: $o ).

tff(decl_57,type,
    horizontal_4_1: $o ).

tff(decl_58,type,
    vertical_4_1: $o ).

tff(decl_59,type,
    horizontal_4_2: $o ).

tff(decl_60,type,
    vertical_4_2: $o ).

tff(decl_61,type,
    horizontal_4_3: $o ).

tff(decl_62,type,
    vertical_4_3: $o ).

tff(decl_63,type,
    horizontal_4_4: $o ).

tff(decl_64,type,
    vertical_4_4: $o ).

tff(decl_65,type,
    horizontal_4_5: $o ).

tff(decl_66,type,
    vertical_4_5: $o ).

tff(decl_67,type,
    vertical_4_6: $o ).

tff(decl_68,type,
    horizontal_5_1: $o ).

tff(decl_69,type,
    vertical_5_1: $o ).

tff(decl_70,type,
    horizontal_5_2: $o ).

tff(decl_71,type,
    vertical_5_2: $o ).

tff(decl_72,type,
    horizontal_5_3: $o ).

tff(decl_73,type,
    vertical_5_3: $o ).

tff(decl_74,type,
    horizontal_5_4: $o ).

tff(decl_75,type,
    vertical_5_4: $o ).

tff(decl_76,type,
    horizontal_5_5: $o ).

tff(decl_77,type,
    vertical_5_5: $o ).

tff(decl_78,type,
    horizontal_6_1: $o ).

tff(decl_79,type,
    horizontal_6_2: $o ).

tff(decl_80,type,
    horizontal_6_3: $o ).

tff(decl_81,type,
    horizontal_6_4: $o ).

cnf(unique_cover2_6_2,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ horizontal_6_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_6_2) ).

cnf(covered_6_1,negated_conjecture,
    ( horizontal_6_1
    | vertical_5_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_1) ).

cnf(unique_cover5_5_1,negated_conjecture,
    ( ~ vertical_5_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_1) ).

cnf(unique_cover2_6_4,negated_conjecture,
    ( ~ horizontal_6_4
    | ~ horizontal_6_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_6_4) ).

cnf(covered_6_3,negated_conjecture,
    ( horizontal_6_3
    | horizontal_6_2
    | vertical_5_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_3) ).

cnf(covered_4_1,negated_conjecture,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_1) ).

cnf(unique_cover1_5_1,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_5_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_1) ).

cnf(unique_cover6_6_2,negated_conjecture,
    ( ~ horizontal_6_1
    | ~ vertical_5_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_2) ).

cnf(unique_cover5_3_1,negated_conjecture,
    ( ~ vertical_3_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_1) ).

cnf(covered_6_5,negated_conjecture,
    ( horizontal_6_5
    | horizontal_6_4
    | vertical_5_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_5) ).

cnf(uncovered3_6_6,negated_conjecture,
    ~ horizontal_6_5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered3_6_6) ).

cnf(covered_5_6,negated_conjecture,
    ( vertical_5_6
    | horizontal_5_5
    | vertical_4_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_6) ).

cnf(uncovered4_6_6,negated_conjecture,
    ~ vertical_5_6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered4_6_6) ).

cnf(unique_cover3_6_2,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ vertical_5_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_6_2) ).

cnf(unique_cover2_1_5,negated_conjecture,
    ( ~ horizontal_1_5
    | ~ horizontal_1_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_5) ).

cnf(covered_1_6,negated_conjecture,
    ( vertical_1_6
    | horizontal_1_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_6) ).

cnf(covered_2_1,negated_conjecture,
    ( horizontal_2_1
    | vertical_2_1
    | vertical_1_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_1) ).

cnf(uncovered2_1_1,negated_conjecture,
    ~ vertical_1_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered2_1_1) ).

cnf(unique_cover4_4_6,negated_conjecture,
    ( ~ vertical_4_6
    | ~ horizontal_4_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_6) ).

cnf(unique_cover3_5_1,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_1) ).

cnf(unique_cover5_2_6,negated_conjecture,
    ( ~ vertical_2_6
    | ~ vertical_1_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_6) ).

cnf(unique_cover5_4_6,negated_conjecture,
    ( ~ vertical_4_6
    | ~ vertical_3_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_6) ).

cnf(covered_3_6,negated_conjecture,
    ( vertical_3_6
    | horizontal_3_5
    | vertical_2_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_6) ).

cnf(covered_4_5,negated_conjecture,
    ( horizontal_4_5
    | vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_5) ).

cnf(unique_cover1_5_3,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_5_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_3) ).

cnf(unique_cover1_5_5,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ vertical_5_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_5) ).

cnf(unique_cover5_5_5,negated_conjecture,
    ( ~ vertical_5_5
    | ~ vertical_4_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_5) ).

cnf(covered_5_2,negated_conjecture,
    ( horizontal_5_2
    | vertical_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_2) ).

cnf(unique_cover2_5_3,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_5_3) ).

cnf(covered_1_4,negated_conjecture,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_4) ).

cnf(unique_cover4_4_2,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_2) ).

cnf(unique_cover3_6_4,negated_conjecture,
    ( ~ horizontal_6_4
    | ~ vertical_5_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_6_4) ).

cnf(unique_cover2_1_3,negated_conjecture,
    ( ~ horizontal_1_3
    | ~ horizontal_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_3) ).

cnf(unique_cover6_2_6,negated_conjecture,
    ( ~ horizontal_2_5
    | ~ vertical_1_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_6) ).

cnf(covered_5_4,negated_conjecture,
    ( horizontal_5_4
    | vertical_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_5_4) ).

cnf(unique_cover2_5_5,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ horizontal_5_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_5_5) ).

cnf(unique_cover6_5_5,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_4_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_5_5) ).

cnf(unique_cover6_4_2,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_2) ).

cnf(unique_cover5_4_2,negated_conjecture,
    ( ~ vertical_4_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_2) ).

cnf(covered_1_2,negated_conjecture,
    ( horizontal_1_2
    | vertical_1_2
    | horizontal_1_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_1_2) ).

cnf(uncovered1_1_1,negated_conjecture,
    ~ horizontal_1_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uncovered1_1_1) ).

cnf(unique_cover4_1_5,negated_conjecture,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_1_5) ).

cnf(unique_cover1_1_5,negated_conjecture,
    ( ~ horizontal_1_5
    | ~ vertical_1_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_1_5) ).

cnf(unique_cover2_2_2,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ horizontal_2_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_2_2) ).

cnf(unique_cover6_5_3,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_5_3) ).

cnf(unique_cover3_3_5,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_5) ).

cnf(unique_cover4_2_6,negated_conjecture,
    ( ~ vertical_2_6
    | ~ horizontal_2_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_6) ).

cnf(unique_cover4_4_4,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_4) ).

cnf(unique_cover2_4_4,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_4) ).

cnf(covered_4_3,negated_conjecture,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_3) ).

cnf(unique_cover3_4_2,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_2) ).

cnf(unique_cover5_4_4,negated_conjecture,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_4) ).

cnf(unique_cover3_4_4,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_4_4) ).

cnf(unique_cover5_2_4,negated_conjecture,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_4) ).

cnf(unique_cover4_5_3,negated_conjecture,
    ( ~ vertical_5_3
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_5_3) ).

cnf(covered_2_5,negated_conjecture,
    ( horizontal_2_5
    | vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_5) ).

cnf(unique_cover1_2_4,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_4) ).

cnf(unique_cover1_3_5,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_5) ).

cnf(unique_cover5_3_5,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_5) ).

cnf(unique_cover3_3_1,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_1) ).

cnf(unique_cover2_3_5,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ horizontal_3_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_5) ).

cnf(unique_cover1_3_3,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_3) ).

cnf(covered_3_4,negated_conjecture,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_4) ).

cnf(unique_cover6_3_5,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_5) ).

cnf(unique_cover3_2_2,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_2) ).

cnf(covered_3_2,negated_conjecture,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_3_2) ).

cnf(unique_cover5_5_3,negated_conjecture,
    ( ~ vertical_5_3
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_3) ).

cnf(unique_cover3_2_4,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_4) ).

cnf(unique_cover1_2_2,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_2) ).

cnf(unique_cover2_4_2,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_2) ).

cnf(unique_cover1_4_2,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_4_2) ).

cnf(unique_cover2_3_3,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_3_3) ).

cnf(unique_cover6_2_4,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_4) ).

cnf(unique_cover2_2_4,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_2_4) ).

cnf(unique_cover6_2_2,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_2) ).

cnf(unique_cover4_3_3,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_3) ).

cnf(unique_cover4_2_2,negated_conjecture,
    ( ~ vertical_2_2
    | ~ horizontal_2_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_2) ).

cnf(unique_cover5_2_2,negated_conjecture,
    ( ~ vertical_2_2
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_2) ).

cnf(unique_cover1_1_3,negated_conjecture,
    ( ~ horizontal_1_3
    | ~ vertical_1_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_1_3) ).

cnf(unique_cover3_5_3,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_3) ).

cnf(covered_2_3,negated_conjecture,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_2_3) ).

cnf(unique_cover4_2_4,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_4) ).

cnf(unique_cover4_1_3,negated_conjecture,
    ( ~ vertical_1_3
    | ~ horizontal_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_1_3) ).

cnf(unique_cover4_3_5,negated_conjecture,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_3_5) ).

cnf(unique_cover5_3_3,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_3) ).

cnf(unique_cover1_3_1,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_1) ).

cnf(unique_cover6_4_4,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_4) ).

cnf(unique_cover3_3_3,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_3) ).

cnf(unique_cover6_3_3,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_3_3) ).

cnf(unique_cover6_4_6,negated_conjecture,
    ( ~ horizontal_4_5
    | ~ vertical_3_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_6) ).

cnf(unique_cover6_6_4,negated_conjecture,
    ( ~ horizontal_6_3
    | ~ vertical_5_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_4) ).

cnf(unique_cover4_5_5,negated_conjecture,
    ( ~ vertical_5_5
    | ~ horizontal_5_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_5_5) ).

cnf(unique_cover3_5_5,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ vertical_4_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_5_5) ).

cnf(unique_cover1_4_4,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_4_4) ).

cnf(unique_cover6_4_5,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_5) ).

cnf(c_0_95,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ horizontal_6_1 ),
    unique_cover2_6_2 ).

cnf(c_0_96,negated_conjecture,
    ( horizontal_6_1
    | vertical_5_1 ),
    covered_6_1 ).

cnf(c_0_97,negated_conjecture,
    ( ~ vertical_5_1
    | ~ vertical_4_1 ),
    unique_cover5_5_1 ).

cnf(c_0_98,negated_conjecture,
    ( vertical_5_1
    | ~ horizontal_6_2 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ horizontal_6_4
    | ~ horizontal_6_3 ),
    unique_cover2_6_4 ).

cnf(c_0_100,negated_conjecture,
    ( horizontal_6_3
    | horizontal_6_2
    | vertical_5_3 ),
    covered_6_3 ).

cnf(c_0_101,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ vertical_4_1 ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_102,negated_conjecture,
    ( horizontal_6_2
    | vertical_5_3
    | ~ horizontal_6_4 ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_103,negated_conjecture,
    ( vertical_5_3
    | ~ horizontal_6_4
    | ~ vertical_4_1 ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_104,negated_conjecture,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    covered_4_1 ).

cnf(c_0_105,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_5_1 ),
    unique_cover1_5_1 ).

cnf(c_0_106,negated_conjecture,
    ( ~ horizontal_6_1
    | ~ vertical_5_2 ),
    unique_cover6_6_2 ).

cnf(c_0_107,negated_conjecture,
    ( ~ vertical_3_1
    | ~ vertical_2_1 ),
    unique_cover5_3_1 ).

cnf(c_0_108,negated_conjecture,
    ( vertical_5_3
    | horizontal_4_1
    | vertical_3_1
    | ~ horizontal_6_4 ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,negated_conjecture,
    ( horizontal_6_5
    | horizontal_6_4
    | vertical_5_5 ),
    covered_6_5 ).

cnf(c_0_110,negated_conjecture,
    ~ horizontal_6_5,
    uncovered3_6_6 ).

cnf(c_0_111,negated_conjecture,
    ( vertical_5_6
    | horizontal_5_5
    | vertical_4_6 ),
    covered_5_6 ).

cnf(c_0_112,negated_conjecture,
    ~ vertical_5_6,
    uncovered4_6_6 ).

cnf(c_0_113,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ vertical_5_2 ),
    unique_cover3_6_2 ).

cnf(c_0_114,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_105,c_0_98]) ).

cnf(c_0_115,negated_conjecture,
    ( vertical_5_1
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_106,c_0_96]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ horizontal_1_5
    | ~ horizontal_1_4 ),
    unique_cover2_1_5 ).

cnf(c_0_117,negated_conjecture,
    ( vertical_1_6
    | horizontal_1_5 ),
    covered_1_6 ).

cnf(c_0_118,negated_conjecture,
    ( vertical_5_3
    | horizontal_4_1
    | ~ horizontal_6_4
    | ~ vertical_2_1 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_119,negated_conjecture,
    ( horizontal_6_4
    | vertical_5_5 ),
    inference(sr,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_120,negated_conjecture,
    ( horizontal_2_1
    | vertical_2_1
    | vertical_1_1 ),
    covered_2_1 ).

cnf(c_0_121,negated_conjecture,
    ~ vertical_1_1,
    uncovered2_1_1 ).

cnf(c_0_122,negated_conjecture,
    ( ~ vertical_4_6
    | ~ horizontal_4_5 ),
    unique_cover4_4_6 ).

cnf(c_0_123,negated_conjecture,
    ( horizontal_5_5
    | vertical_4_6 ),
    inference(sr,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_124,negated_conjecture,
    ( vertical_5_3
    | ~ horizontal_6_4
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_113,c_0_102]) ).

cnf(c_0_125,negated_conjecture,
    ( vertical_5_3
    | ~ horizontal_6_4
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_114,c_0_102]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ vertical_5_2
    | ~ vertical_4_1 ),
    inference(spm,[status(thm)],[c_0_97,c_0_115]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    unique_cover3_5_1 ).

cnf(c_0_128,negated_conjecture,
    ( ~ vertical_2_6
    | ~ vertical_1_6 ),
    unique_cover5_2_6 ).

cnf(c_0_129,negated_conjecture,
    ( vertical_1_6
    | ~ horizontal_1_4 ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ vertical_4_6
    | ~ vertical_3_6 ),
    unique_cover5_4_6 ).

cnf(c_0_131,negated_conjecture,
    ( vertical_3_6
    | horizontal_3_5
    | vertical_2_6 ),
    covered_3_6 ).

cnf(c_0_132,negated_conjecture,
    ( vertical_5_5
    | vertical_5_3
    | horizontal_4_1
    | ~ vertical_2_1 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_133,negated_conjecture,
    ( vertical_2_1
    | horizontal_2_1 ),
    inference(sr,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_134,negated_conjecture,
    ( horizontal_5_5
    | ~ horizontal_4_5 ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_135,negated_conjecture,
    ( horizontal_4_5
    | vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    covered_4_5 ).

cnf(c_0_136,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_5_3 ),
    unique_cover1_5_3 ).

cnf(c_0_137,negated_conjecture,
    ( vertical_5_5
    | vertical_5_3
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_124,c_0_119]) ).

cnf(c_0_138,negated_conjecture,
    ( vertical_5_5
    | vertical_5_3
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_125,c_0_119]) ).

cnf(c_0_139,negated_conjecture,
    ( horizontal_4_1
    | vertical_3_1
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_126,c_0_104]) ).

cnf(c_0_140,negated_conjecture,
    ( horizontal_4_1
    | vertical_3_1
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_127,c_0_104]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ vertical_2_6
    | ~ horizontal_1_4 ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_142,negated_conjecture,
    ( horizontal_3_5
    | vertical_2_6
    | ~ vertical_4_6 ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_143,negated_conjecture,
    ( vertical_5_5
    | vertical_5_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ vertical_5_5 ),
    unique_cover1_5_5 ).

cnf(c_0_145,negated_conjecture,
    ( horizontal_5_5
    | vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ vertical_5_5
    | ~ vertical_4_5 ),
    unique_cover5_5_5 ).

cnf(c_0_147,negated_conjecture,
    ( vertical_5_5
    | ~ horizontal_5_3
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_148,negated_conjecture,
    ( horizontal_5_2
    | vertical_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    covered_5_2 ).

cnf(c_0_149,negated_conjecture,
    ( vertical_5_5
    | ~ horizontal_5_3
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_136,c_0_138]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    unique_cover2_5_3 ).

cnf(c_0_151,negated_conjecture,
    ( horizontal_4_1
    | ~ vertical_5_2
    | ~ vertical_2_1 ),
    inference(spm,[status(thm)],[c_0_107,c_0_139]) ).

cnf(c_0_152,negated_conjecture,
    ( horizontal_4_1
    | ~ horizontal_5_1
    | ~ vertical_2_1 ),
    inference(spm,[status(thm)],[c_0_107,c_0_140]) ).

cnf(c_0_153,negated_conjecture,
    ( horizontal_3_5
    | ~ vertical_4_6
    | ~ horizontal_1_4 ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_154,negated_conjecture,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    covered_1_4 ).

cnf(c_0_155,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    unique_cover4_4_2 ).

cnf(c_0_156,negated_conjecture,
    ( vertical_5_5
    | horizontal_4_1
    | horizontal_2_1
    | ~ horizontal_5_3 ),
    inference(spm,[status(thm)],[c_0_136,c_0_143]) ).

cnf(c_0_157,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ vertical_5_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).

cnf(c_0_158,negated_conjecture,
    ( vertical_5_5
    | vertical_4_2
    | ~ horizontal_5_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ horizontal_6_4
    | ~ vertical_5_4 ),
    unique_cover3_6_4 ).

cnf(c_0_160,negated_conjecture,
    ( horizontal_4_1
    | horizontal_2_1
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_151,c_0_133]) ).

cnf(c_0_161,negated_conjecture,
    ( horizontal_4_1
    | horizontal_2_1
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_152,c_0_133]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ horizontal_1_3
    | ~ horizontal_1_2 ),
    unique_cover2_1_3 ).

cnf(c_0_163,negated_conjecture,
    ( horizontal_3_5
    | vertical_1_4
    | horizontal_1_3
    | ~ vertical_4_6 ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ horizontal_2_5
    | ~ vertical_1_6 ),
    unique_cover6_2_6 ).

cnf(c_0_165,negated_conjecture,
    ( vertical_5_5
    | horizontal_2_1
    | ~ horizontal_5_3
    | ~ vertical_4_2 ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_166,negated_conjecture,
    ( horizontal_4_4
    | vertical_4_2
    | vertical_3_5
    | ~ horizontal_5_3 ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_167,negated_conjecture,
    ( vertical_5_5
    | ~ vertical_5_4 ),
    inference(spm,[status(thm)],[c_0_159,c_0_119]) ).

cnf(c_0_168,negated_conjecture,
    ( horizontal_5_4
    | vertical_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    covered_5_4 ).

cnf(c_0_169,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ horizontal_5_4 ),
    unique_cover2_5_5 ).

cnf(c_0_170,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_4_5 ),
    unique_cover6_5_5 ).

cnf(c_0_171,negated_conjecture,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    unique_cover6_4_2 ).

cnf(c_0_172,negated_conjecture,
    ( horizontal_5_2
    | vertical_4_2
    | horizontal_4_1
    | horizontal_2_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_148]),c_0_161]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ vertical_4_2
    | ~ vertical_3_2 ),
    unique_cover5_4_2 ).

cnf(c_0_174,negated_conjecture,
    ( horizontal_3_5
    | vertical_1_4
    | ~ vertical_4_6
    | ~ horizontal_1_2 ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_175,negated_conjecture,
    ( horizontal_1_2
    | vertical_1_2
    | horizontal_1_1 ),
    covered_1_2 ).

cnf(c_0_176,negated_conjecture,
    ~ horizontal_1_1,
    uncovered1_1_1 ).

cnf(c_0_177,negated_conjecture,
    ( ~ horizontal_2_5
    | ~ horizontal_1_4 ),
    inference(spm,[status(thm)],[c_0_164,c_0_129]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    unique_cover4_1_5 ).

cnf(c_0_179,negated_conjecture,
    ( ~ horizontal_1_5
    | ~ vertical_1_5 ),
    unique_cover1_1_5 ).

cnf(c_0_180,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ horizontal_2_1 ),
    unique_cover2_2_2 ).

cnf(c_0_181,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | horizontal_2_1
    | ~ horizontal_5_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_165]),c_0_166]) ).

cnf(c_0_182,negated_conjecture,
    ( vertical_5_5
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_183,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ horizontal_5_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_145]),c_0_170]) ).

cnf(c_0_184,negated_conjecture,
    ( horizontal_5_2
    | horizontal_2_1
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).

cnf(c_0_185,negated_conjecture,
    ( horizontal_5_5
    | horizontal_3_5
    | vertical_1_4
    | ~ horizontal_1_2 ),
    inference(spm,[status(thm)],[c_0_174,c_0_123]) ).

cnf(c_0_186,negated_conjecture,
    ( vertical_1_2
    | horizontal_1_2 ),
    inference(sr,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_187,negated_conjecture,
    ( vertical_1_4
    | horizontal_1_3
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_177,c_0_154]) ).

cnf(c_0_188,negated_conjecture,
    ( vertical_1_4
    | horizontal_1_3
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_178,c_0_154]) ).

cnf(c_0_189,negated_conjecture,
    ( vertical_1_6
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_179,c_0_117]) ).

cnf(c_0_190,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ horizontal_5_3
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_191,negated_conjecture,
    ( horizontal_5_3
    | vertical_4_4
    | horizontal_4_4
    | vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_182]),c_0_183]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    unique_cover6_5_3 ).

cnf(c_0_193,negated_conjecture,
    ( horizontal_5_2
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_180,c_0_184]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ vertical_2_5 ),
    unique_cover3_3_5 ).

cnf(c_0_195,negated_conjecture,
    ( horizontal_5_5
    | horizontal_3_5
    | vertical_1_4
    | vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_196,negated_conjecture,
    ( vertical_1_4
    | ~ horizontal_2_5
    | ~ horizontal_1_2 ),
    inference(spm,[status(thm)],[c_0_162,c_0_187]) ).

cnf(c_0_197,negated_conjecture,
    ( vertical_1_4
    | ~ vertical_1_5
    | ~ horizontal_1_2 ),
    inference(spm,[status(thm)],[c_0_162,c_0_188]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ vertical_2_6
    | ~ horizontal_2_5 ),
    unique_cover4_2_6 ).

cnf(c_0_199,negated_conjecture,
    ( ~ vertical_2_6
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_128,c_0_189]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    unique_cover4_4_4 ).

cnf(c_0_201,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_3_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    unique_cover2_4_4 ).

cnf(c_0_203,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_204,negated_conjecture,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    covered_4_3 ).

cnf(c_0_205,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    unique_cover3_4_2 ).

cnf(c_0_206,negated_conjecture,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    unique_cover5_4_4 ).

cnf(c_0_207,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_4_2
    | vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_166,c_0_191]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    unique_cover3_4_4 ).

cnf(c_0_209,negated_conjecture,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    unique_cover5_2_4 ).

cnf(c_0_210,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_4
    | vertical_1_2
    | ~ vertical_2_5 ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ vertical_5_3
    | ~ horizontal_5_2 ),
    unique_cover4_5_3 ).

cnf(c_0_212,negated_conjecture,
    ( vertical_1_4
    | vertical_1_2
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_196,c_0_186]) ).

cnf(c_0_213,negated_conjecture,
    ( horizontal_2_5
    | vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    covered_2_5 ).

cnf(c_0_214,negated_conjecture,
    ( vertical_1_4
    | vertical_1_2
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_197,c_0_186]) ).

cnf(c_0_215,negated_conjecture,
    ( horizontal_3_5
    | ~ vertical_4_6
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_198,c_0_142]) ).

cnf(c_0_216,negated_conjecture,
    ( horizontal_3_5
    | ~ vertical_4_6
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_199,c_0_142]) ).

cnf(c_0_217,negated_conjecture,
    ( vertical_3_5
    | ~ horizontal_4_3
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).

cnf(c_0_218,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_3
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]) ).

cnf(c_0_219,negated_conjecture,
    ( vertical_4_2
    | vertical_3_5
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]) ).

cnf(c_0_220,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_2
    | ~ vertical_2_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_221,negated_conjecture,
    ( vertical_5_5
    | horizontal_4_1
    | horizontal_2_1
    | ~ horizontal_5_2 ),
    inference(spm,[status(thm)],[c_0_211,c_0_143]) ).

cnf(c_0_222,negated_conjecture,
    ( vertical_2_5
    | horizontal_2_4
    | vertical_1_4
    | vertical_1_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    unique_cover1_2_4 ).

cnf(c_0_224,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ vertical_3_5 ),
    unique_cover1_3_5 ).

cnf(c_0_225,negated_conjecture,
    ( horizontal_5_5
    | horizontal_3_5
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_215,c_0_123]) ).

cnf(c_0_226,negated_conjecture,
    ( horizontal_5_5
    | horizontal_3_5
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_216,c_0_123]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    unique_cover5_3_5 ).

cnf(c_0_228,negated_conjecture,
    ( vertical_3_5
    | vertical_3_3
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_229,negated_conjecture,
    ( vertical_3_5
    | ~ vertical_3_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_173,c_0_219]) ).

cnf(c_0_230,negated_conjecture,
    ( vertical_1_2
    | ~ vertical_5_5
    | ~ vertical_2_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_220]) ).

cnf(c_0_231,negated_conjecture,
    ( vertical_5_5
    | horizontal_2_1
    | ~ horizontal_5_2
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_171,c_0_221]) ).

cnf(c_0_232,negated_conjecture,
    ( vertical_2_5
    | vertical_1_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_222]),c_0_223]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    unique_cover3_3_1 ).

cnf(c_0_234,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ horizontal_3_4 ),
    unique_cover2_3_5 ).

cnf(c_0_235,negated_conjecture,
    ( horizontal_5_5
    | ~ vertical_3_5
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_224,c_0_225]) ).

cnf(c_0_236,negated_conjecture,
    ( horizontal_5_5
    | ~ vertical_3_5
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_224,c_0_226]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    unique_cover1_3_3 ).

cnf(c_0_238,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_3_2
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_3_2
    | ~ vertical_2_5 ),
    inference(spm,[status(thm)],[c_0_227,c_0_229]) ).

cnf(c_0_240,negated_conjecture,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    covered_3_4 ).

cnf(c_0_241,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    unique_cover6_3_5 ).

cnf(c_0_242,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]),c_0_184]) ).

cnf(c_0_243,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    unique_cover3_2_2 ).

cnf(c_0_244,negated_conjecture,
    ( horizontal_2_1
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_233,c_0_133]) ).

cnf(c_0_245,negated_conjecture,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    covered_3_2 ).

cnf(c_0_246,negated_conjecture,
    ( ~ vertical_5_3
    | ~ vertical_4_3 ),
    unique_cover5_5_3 ).

cnf(c_0_247,negated_conjecture,
    ( horizontal_5_5
    | ~ horizontal_3_4
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_234,c_0_225]) ).

cnf(c_0_248,negated_conjecture,
    ( horizontal_5_5
    | ~ horizontal_3_4
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_234,c_0_226]) ).

cnf(c_0_249,negated_conjecture,
    ( horizontal_5_5
    | horizontal_2_4
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_213]),c_0_236]),c_0_227]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    unique_cover3_2_4 ).

cnf(c_0_251,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_4
    | vertical_1_2
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_224,c_0_195]) ).

cnf(c_0_252,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_158]),c_0_232]) ).

cnf(c_0_253,negated_conjecture,
    ( vertical_3_5
    | ~ vertical_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_201]),c_0_208]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_2
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_255,negated_conjecture,
    ( horizontal_3_3
    | vertical_2_4
    | ~ vertical_3_2
    | ~ vertical_2_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_242]),c_0_243]) ).

cnf(c_0_257,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | vertical_2_2
    | horizontal_2_1 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    unique_cover1_2_2 ).

cnf(c_0_259,negated_conjecture,
    ( vertical_5_5
    | ~ vertical_5_2
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_246,c_0_137]) ).

cnf(c_0_260,negated_conjecture,
    ( vertical_5_5
    | ~ horizontal_5_1
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_246,c_0_138]) ).

cnf(c_0_261,negated_conjecture,
    ( horizontal_5_5
    | horizontal_2_4
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_213]),c_0_248]),c_0_241]) ).

cnf(c_0_262,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_4
    | vertical_1_2
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_234,c_0_195]) ).

cnf(c_0_263,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_5_5
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_144,c_0_249]) ).

cnf(c_0_264,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_2
    | ~ vertical_3_5
    | ~ horizontal_2_4 ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_265,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_165]),c_0_232]),c_0_252]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_227,c_0_253]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]) ).

cnf(c_0_268,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_257]),c_0_258]) ).

cnf(c_0_269,negated_conjecture,
    ( vertical_5_5
    | horizontal_4_1
    | horizontal_2_1
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_246,c_0_143]) ).

cnf(c_0_270,negated_conjecture,
    ( vertical_5_5
    | vertical_4_2
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_148]),c_0_260]),c_0_192]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    unique_cover2_4_2 ).

cnf(c_0_272,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    unique_cover1_4_2 ).

cnf(c_0_273,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_5_5
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_261]) ).

cnf(c_0_274,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_2
    | ~ horizontal_3_4
    | ~ horizontal_2_4 ),
    inference(spm,[status(thm)],[c_0_250,c_0_262]) ).

cnf(c_0_275,negated_conjecture,
    ( vertical_4_2
    | horizontal_2_4
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_263,c_0_158]) ).

cnf(c_0_276,negated_conjecture,
    ( vertical_1_2
    | ~ vertical_5_5
    | ~ vertical_3_5
    | ~ horizontal_2_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_264]) ).

cnf(c_0_277,negated_conjecture,
    ( vertical_1_2
    | ~ horizontal_5_4
    | ~ vertical_2_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_169,c_0_220]) ).

cnf(c_0_278,negated_conjecture,
    ( horizontal_5_4
    | horizontal_5_3
    | vertical_4_4
    | vertical_1_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_182]),c_0_232]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_265]),c_0_243]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    unique_cover2_3_3 ).

cnf(c_0_281,negated_conjecture,
    ( horizontal_3_3
    | vertical_2_4
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_240]),c_0_241]) ).

cnf(c_0_282,negated_conjecture,
    ( horizontal_3_2
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_283,negated_conjecture,
    ( vertical_5_5
    | horizontal_2_1
    | ~ vertical_4_3
    | ~ vertical_4_2 ),
    inference(spm,[status(thm)],[c_0_155,c_0_269]) ).

cnf(c_0_284,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ vertical_4_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_270]),c_0_232]) ).

cnf(c_0_285,negated_conjecture,
    ( vertical_5_5
    | horizontal_2_1
    | ~ horizontal_5_2
    | ~ horizontal_4_2 ),
    inference(spm,[status(thm)],[c_0_271,c_0_221]) ).

cnf(c_0_286,negated_conjecture,
    ( horizontal_5_2
    | horizontal_2_1
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_172]),c_0_272]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    unique_cover6_2_4 ).

cnf(c_0_288,negated_conjecture,
    ( vertical_4_2
    | horizontal_2_4
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_273,c_0_158]) ).

cnf(c_0_289,negated_conjecture,
    ( vertical_1_2
    | ~ vertical_5_5
    | ~ horizontal_3_4
    | ~ horizontal_2_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_274]) ).

cnf(c_0_290,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_4
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_169,c_0_249]) ).

cnf(c_0_291,negated_conjecture,
    ( horizontal_2_4
    | horizontal_2_1
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_165]),c_0_275]) ).

cnf(c_0_292,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_158]),c_0_275]) ).

cnf(c_0_293,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_2_5
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_243,c_0_277]) ).

cnf(c_0_294,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_278]),c_0_279]) ).

cnf(c_0_295,negated_conjecture,
    ( vertical_2_4
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282]) ).

cnf(c_0_296,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ vertical_4_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_283]),c_0_232]),c_0_284]) ).

cnf(c_0_297,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_4_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_285]),c_0_232]),c_0_286]) ).

cnf(c_0_298,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_2
    | ~ vertical_2_5
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_287,c_0_210]) ).

cnf(c_0_299,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    unique_cover2_2_4 ).

cnf(c_0_300,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_4
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_169,c_0_261]) ).

cnf(c_0_301,negated_conjecture,
    ( horizontal_2_4
    | horizontal_2_1
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_165]),c_0_288]) ).

cnf(c_0_302,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_158]),c_0_288]) ).

cnf(c_0_303,negated_conjecture,
    ( horizontal_5_3
    | vertical_4_4
    | horizontal_2_4
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_182]),c_0_290]) ).

cnf(c_0_304,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_165]),c_0_291]),c_0_292]) ).

cnf(c_0_305,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_295]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_296]),c_0_243]) ).

cnf(c_0_307,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_297]),c_0_243]) ).

cnf(c_0_308,negated_conjecture,
    ( vertical_1_2
    | ~ vertical_5_5
    | ~ vertical_2_5
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_144,c_0_298]) ).

cnf(c_0_309,negated_conjecture,
    ( vertical_2_5
    | vertical_1_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_222]),c_0_299]) ).

cnf(c_0_310,negated_conjecture,
    ( horizontal_5_3
    | vertical_4_4
    | horizontal_2_4
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_182]),c_0_300]) ).

cnf(c_0_311,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_165]),c_0_301]),c_0_302]) ).

cnf(c_0_312,negated_conjecture,
    ( vertical_1_2
    | ~ horizontal_5_4
    | ~ vertical_3_5
    | ~ horizontal_2_4 ),
    inference(spm,[status(thm)],[c_0_169,c_0_264]) ).

cnf(c_0_313,negated_conjecture,
    ( horizontal_5_4
    | horizontal_5_3
    | vertical_4_4
    | vertical_1_2
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_182]),c_0_303]) ).

cnf(c_0_314,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_3_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_304]),c_0_243]) ).

cnf(c_0_315,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_3
    | ~ vertical_3_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_180,c_0_291]) ).

cnf(c_0_316,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_200,c_0_305]) ).

cnf(c_0_317,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_3
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_204]),c_0_307]) ).

cnf(c_0_318,negated_conjecture,
    ( horizontal_2_4
    | horizontal_2_1
    | ~ vertical_3_5
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_231]),c_0_184]) ).

cnf(c_0_319,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_1_2 ),
    unique_cover6_2_2 ).

cnf(c_0_320,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_158]),c_0_309]) ).

cnf(c_0_321,negated_conjecture,
    ( vertical_4_2
    | horizontal_2_4
    | ~ vertical_4_3
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_273,c_0_270]) ).

cnf(c_0_322,negated_conjecture,
    ( vertical_1_2
    | ~ horizontal_5_4
    | ~ horizontal_3_4
    | ~ horizontal_2_4 ),
    inference(spm,[status(thm)],[c_0_169,c_0_274]) ).

cnf(c_0_323,negated_conjecture,
    ( horizontal_5_4
    | horizontal_5_3
    | vertical_4_4
    | vertical_1_2
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_182]),c_0_310]) ).

cnf(c_0_324,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_311]),c_0_243]) ).

cnf(c_0_325,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_3
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_180,c_0_301]) ).

cnf(c_0_326,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_3_5
    | ~ horizontal_2_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_243,c_0_312]) ).

cnf(c_0_327,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ vertical_3_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_313]),c_0_314]) ).

cnf(c_0_328,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_4
    | ~ vertical_3_5
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_315,c_0_303]) ).

cnf(c_0_329,negated_conjecture,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    unique_cover4_3_3 ).

cnf(c_0_330,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_295]) ).

cnf(c_0_331,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ vertical_3_5
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_231]),c_0_318]),c_0_184]) ).

cnf(c_0_332,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_3
    | ~ vertical_3_5
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_291]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ vertical_2_2
    | ~ horizontal_2_1 ),
    unique_cover4_2_2 ).

cnf(c_0_334,negated_conjecture,
    ( ~ vertical_2_2
    | ~ vertical_1_2 ),
    unique_cover5_2_2 ).

cnf(c_0_335,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_5_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_165]),c_0_309]),c_0_320]) ).

cnf(c_0_336,negated_conjecture,
    ( horizontal_2_4
    | horizontal_2_1
    | ~ vertical_4_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_283]),c_0_321]) ).

cnf(c_0_337,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ vertical_4_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_270]),c_0_321]) ).

cnf(c_0_338,negated_conjecture,
    ( horizontal_2_4
    | horizontal_2_1
    | ~ horizontal_4_2
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_285]),c_0_286]) ).

cnf(c_0_339,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ horizontal_3_4
    | ~ horizontal_2_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_243,c_0_322]) ).

cnf(c_0_340,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_323]),c_0_324]) ).

cnf(c_0_341,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_4
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_325,c_0_310]) ).

cnf(c_0_342,negated_conjecture,
    ( horizontal_2_4
    | horizontal_2_1
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_231]),c_0_184]) ).

cnf(c_0_343,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_3_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]) ).

cnf(c_0_344,negated_conjecture,
    ( ~ vertical_2_5
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_330]),c_0_282]) ).

cnf(c_0_345,negated_conjecture,
    ( vertical_2_5
    | ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_243,c_0_232]) ).

cnf(c_0_346,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_331]),c_0_243]) ).

cnf(c_0_347,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ horizontal_5_3
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_181]) ).

cnf(c_0_348,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_3_5
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_232]),c_0_223]),c_0_227]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ horizontal_1_3
    | ~ vertical_1_3 ),
    unique_cover1_1_3 ).

cnf(c_0_350,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_311]),c_0_334]) ).

cnf(c_0_351,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_3
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_333,c_0_301]) ).

cnf(c_0_352,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_3_5
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_304]),c_0_334]) ).

cnf(c_0_353,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_3
    | ~ vertical_3_5
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_333,c_0_291]) ).

cnf(c_0_354,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ horizontal_5_3
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_333,c_0_181]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_265]),c_0_334]) ).

cnf(c_0_356,negated_conjecture,
    ( vertical_1_2
    | ~ horizontal_5_4
    | ~ vertical_2_5
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_169,c_0_298]) ).

cnf(c_0_357,negated_conjecture,
    ( horizontal_5_4
    | horizontal_5_3
    | vertical_4_4
    | vertical_1_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_182]),c_0_309]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_335]),c_0_334]) ).

cnf(c_0_359,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ vertical_4_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_283]),c_0_336]),c_0_337]) ).

cnf(c_0_360,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_4_2
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_285]),c_0_338]),c_0_286]) ).

cnf(c_0_361,negated_conjecture,
    ( vertical_4_4
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341]) ).

cnf(c_0_362,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_231]),c_0_342]),c_0_184]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_343]),c_0_253]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_365,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_346,c_0_228]) ).

cnf(c_0_366,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | vertical_2_5
    | ~ horizontal_5_3
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_347,c_0_232]) ).

cnf(c_0_367,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_3_5
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_303]),c_0_223]) ).

cnf(c_0_368,negated_conjecture,
    ( horizontal_5_2
    | ~ vertical_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_184]) ).

cnf(c_0_369,negated_conjecture,
    ( vertical_1_4
    | ~ horizontal_2_5
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_349,c_0_187]) ).

cnf(c_0_370,negated_conjecture,
    ( vertical_1_4
    | ~ vertical_1_5
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_349,c_0_188]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ horizontal_3_4
    | ~ horizontal_2_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_334,c_0_322]) ).

cnf(c_0_372,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_323]),c_0_350]) ).

cnf(c_0_373,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_4
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_351,c_0_310]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_3_5
    | ~ horizontal_2_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_334,c_0_312]) ).

cnf(c_0_375,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ vertical_3_5
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_313]),c_0_352]) ).

cnf(c_0_376,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_4
    | ~ vertical_3_5
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_353,c_0_303]) ).

cnf(c_0_377,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_3_5
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_354,c_0_191]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_2_5
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_334,c_0_277]) ).

cnf(c_0_379,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_278]),c_0_355]) ).

cnf(c_0_380,negated_conjecture,
    ( vertical_2_5
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_334,c_0_232]) ).

cnf(c_0_381,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ vertical_4_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_270]),c_0_309]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_2_5
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_334,c_0_356]) ).

cnf(c_0_383,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_357]),c_0_358]) ).

cnf(c_0_384,negated_conjecture,
    ( vertical_2_5
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_334,c_0_309]) ).

cnf(c_0_385,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_359]),c_0_243]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_360]),c_0_243]) ).

cnf(c_0_387,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_200,c_0_361]) ).

cnf(c_0_388,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_362]),c_0_243]) ).

cnf(c_0_389,negated_conjecture,
    ( horizontal_3_4
    | horizontal_3_3
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_240]),c_0_364]) ).

cnf(c_0_390,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_237,c_0_365]) ).

cnf(c_0_391,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_2_5
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_191]),c_0_367]) ).

cnf(c_0_392,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_284]),c_0_173]),c_0_192]) ).

cnf(c_0_393,negated_conjecture,
    ( vertical_2_5
    | horizontal_2_4
    | vertical_1_4
    | ~ vertical_1_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_213]),c_0_370]) ).

cnf(c_0_394,negated_conjecture,
    ( vertical_4_4
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_373]) ).

cnf(c_0_395,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_3_5
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_376]) ).

cnf(c_0_396,negated_conjecture,
    ( vertical_3_5
    | ~ vertical_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_377]),c_0_208]) ).

cnf(c_0_397,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_380]) ).

cnf(c_0_398,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ vertical_4_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_283]),c_0_309]),c_0_381]) ).

cnf(c_0_399,negated_conjecture,
    ( horizontal_2_1
    | vertical_1_2
    | ~ horizontal_4_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_285]),c_0_309]),c_0_286]) ).

cnf(c_0_400,negated_conjecture,
    ( vertical_4_4
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384]) ).

cnf(c_0_401,negated_conjecture,
    ( vertical_4_2
    | horizontal_2_4
    | ~ vertical_4_3
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_263,c_0_270]) ).

cnf(c_0_402,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_3 ),
    unique_cover3_5_3 ).

cnf(c_0_403,negated_conjecture,
    ( vertical_3_3
    | ~ horizontal_3_4
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_204]),c_0_386]),c_0_387]) ).

cnf(c_0_404,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_390]) ).

cnf(c_0_405,negated_conjecture,
    ( vertical_2_5
    | ~ horizontal_4_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_391]),c_0_202]) ).

cnf(c_0_406,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_3
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_204]),c_0_205]) ).

cnf(c_0_407,negated_conjecture,
    ( vertical_2_5
    | ~ vertical_2_4
    | ~ vertical_1_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_393]),c_0_223]) ).

cnf(c_0_408,negated_conjecture,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    covered_2_3 ).

cnf(c_0_409,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    unique_cover4_2_4 ).

cnf(c_0_410,negated_conjecture,
    ( horizontal_3_5
    | vertical_1_4
    | ~ vertical_4_6
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_349,c_0_163]) ).

cnf(c_0_411,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_359]),c_0_334]) ).

cnf(c_0_412,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_360]),c_0_334]) ).

cnf(c_0_413,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_200,c_0_394]) ).

cnf(c_0_414,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_395]),c_0_396]) ).

cnf(c_0_415,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_296]),c_0_334]) ).

cnf(c_0_416,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_297]),c_0_334]) ).

cnf(c_0_417,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_200,c_0_397]) ).

cnf(c_0_418,negated_conjecture,
    ( ~ vertical_1_3
    | ~ horizontal_1_2 ),
    unique_cover4_1_3 ).

cnf(c_0_419,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_398]),c_0_334]) ).

cnf(c_0_420,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_399]),c_0_334]) ).

cnf(c_0_421,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_200,c_0_400]) ).

cnf(c_0_422,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_3_5
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_309]),c_0_299]),c_0_227]) ).

cnf(c_0_423,negated_conjecture,
    ( vertical_4_4
    | vertical_4_2
    | horizontal_2_4
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_275,c_0_303]) ).

cnf(c_0_424,negated_conjecture,
    ( vertical_4_2
    | vertical_1_2
    | ~ vertical_4_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_270]),c_0_401]) ).

cnf(c_0_425,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_3_5
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_402,c_0_191]) ).

cnf(c_0_426,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_252]),c_0_173]),c_0_150]) ).

cnf(c_0_427,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_302]),c_0_173]),c_0_150]) ).

cnf(c_0_428,negated_conjecture,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    unique_cover4_3_5 ).

cnf(c_0_429,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_403,c_0_389]) ).

cnf(c_0_430,negated_conjecture,
    ( horizontal_3_2
    | ~ horizontal_2_2 ),
    inference(spm,[status(thm)],[c_0_404,c_0_268]) ).

cnf(c_0_431,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    unique_cover5_3_3 ).

cnf(c_0_432,negated_conjecture,
    ( vertical_3_3
    | vertical_2_5
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_405,c_0_406]) ).

cnf(c_0_433,negated_conjecture,
    ( vertical_2_5
    | vertical_2_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_345]),c_0_409]) ).

cnf(c_0_434,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | ~ vertical_1_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_257]),c_0_334]) ).

cnf(c_0_435,negated_conjecture,
    ( horizontal_5_5
    | horizontal_3_5
    | vertical_1_4
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_410,c_0_123]) ).

cnf(c_0_436,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    unique_cover1_3_1 ).

cnf(c_0_437,negated_conjecture,
    ( vertical_3_3
    | ~ horizontal_3_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_204]),c_0_412]),c_0_413]) ).

cnf(c_0_438,negated_conjecture,
    ( horizontal_3_4
    | horizontal_3_3
    | vertical_2_4
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_414,c_0_240]) ).

cnf(c_0_439,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_2_4
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_204]),c_0_416]),c_0_417]) ).

cnf(c_0_440,negated_conjecture,
    ( vertical_1_2
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_418,c_0_186]) ).

cnf(c_0_441,negated_conjecture,
    ( vertical_3_3
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_204]),c_0_420]),c_0_421]) ).

cnf(c_0_442,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_2_5
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_227,c_0_396]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_320]),c_0_173]),c_0_150]) ).

cnf(c_0_444,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_3_5
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_303]),c_0_299]) ).

cnf(c_0_445,negated_conjecture,
    ( vertical_4_2
    | horizontal_2_4
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_423]),c_0_219]) ).

cnf(c_0_446,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_3_5
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_424]),c_0_173]),c_0_192]) ).

cnf(c_0_447,negated_conjecture,
    ( vertical_3_5
    | ~ vertical_4_3
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_425]),c_0_208]) ).

cnf(c_0_448,negated_conjecture,
    ( vertical_3_5
    | ~ horizontal_4_2
    | ~ vertical_3_4 ),
    inference(spm,[status(thm)],[c_0_272,c_0_219]) ).

cnf(c_0_449,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    unique_cover6_4_4 ).

cnf(c_0_450,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_191]),c_0_367]) ).

cnf(c_0_451,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_191]),c_0_428]) ).

cnf(c_0_452,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_337]),c_0_173]),c_0_192]) ).

cnf(c_0_453,negated_conjecture,
    ( horizontal_3_3
    | ~ horizontal_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_429]),c_0_430]) ).

cnf(c_0_454,negated_conjecture,
    ( vertical_2_5
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_433]) ).

cnf(c_0_455,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | vertical_2_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_434,c_0_232]) ).

cnf(c_0_456,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_4
    | ~ vertical_2_5
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_194,c_0_435]) ).

cnf(c_0_457,negated_conjecture,
    ( vertical_5_3
    | horizontal_4_1
    | ~ horizontal_6_4
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_436,c_0_108]) ).

cnf(c_0_458,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_439]) ).

cnf(c_0_459,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    unique_cover3_3_3 ).

cnf(c_0_460,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_440,c_0_408]) ).

cnf(c_0_461,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_237,c_0_441]) ).

cnf(c_0_462,negated_conjecture,
    ( horizontal_3_3
    | vertical_2_4
    | ~ vertical_2_5
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_240]),c_0_241]) ).

cnf(c_0_463,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_191]),c_0_444]) ).

cnf(c_0_464,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_381]),c_0_173]),c_0_192]) ).

cnf(c_0_465,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_3_4
    | ~ vertical_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_342]) ).

cnf(c_0_466,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_3_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_173,c_0_445]) ).

cnf(c_0_467,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_3
    | ~ vertical_3_5
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_204]),c_0_205]) ).

cnf(c_0_468,negated_conjecture,
    ( vertical_3_5
    | vertical_3_3
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_204]),c_0_448]),c_0_449]) ).

cnf(c_0_469,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_450]),c_0_202]) ).

cnf(c_0_470,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_451]),c_0_202]) ).

cnf(c_0_471,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_3
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_204]),c_0_205]) ).

cnf(c_0_472,negated_conjecture,
    ~ horizontal_2_2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_453]),c_0_430]) ).

cnf(c_0_473,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    unique_cover6_3_3 ).

cnf(c_0_474,negated_conjecture,
    ( horizontal_3_2
    | vertical_2_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_454,c_0_455]) ).

cnf(c_0_475,negated_conjecture,
    ( horizontal_5_5
    | ~ vertical_2_5
    | ~ vertical_2_4
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_209,c_0_456]) ).

cnf(c_0_476,negated_conjecture,
    ( ~ horizontal_4_5
    | ~ vertical_3_6 ),
    unique_cover6_4_6 ).

cnf(c_0_477,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_5_3
    | ~ horizontal_3_4
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_301]) ).

cnf(c_0_478,negated_conjecture,
    ( vertical_5_5
    | vertical_5_3
    | horizontal_4_1
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_457,c_0_119]) ).

cnf(c_0_479,negated_conjecture,
    ( ~ vertical_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_458]),c_0_459]) ).

cnf(c_0_480,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_460]),c_0_258]) ).

cnf(c_0_481,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_2_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_462]),c_0_384]),c_0_409]) ).

cnf(c_0_482,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_463]),c_0_202]) ).

cnf(c_0_483,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_3
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_204]),c_0_205]) ).

cnf(c_0_484,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_309]),c_0_299]),c_0_241]) ).

cnf(c_0_485,negated_conjecture,
    ( horizontal_3_4
    | horizontal_3_3
    | vertical_2_4
    | horizontal_2_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_466,c_0_240]) ).

cnf(c_0_486,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_467]),c_0_468]) ).

cnf(c_0_487,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_469,c_0_406]) ).

cnf(c_0_488,negated_conjecture,
    ( vertical_3_3
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_489,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_3
    | vertical_1_3 ),
    inference(sr,[status(thm)],[c_0_408,c_0_472]) ).

cnf(c_0_490,negated_conjecture,
    ( vertical_2_5
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_433]) ).

cnf(c_0_491,negated_conjecture,
    ( horizontal_5_5
    | vertical_2_3
    | horizontal_2_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_408]),c_0_433]),c_0_409]) ).

cnf(c_0_492,negated_conjecture,
    ( ~ horizontal_6_3
    | ~ vertical_5_4 ),
    unique_cover6_6_4 ).

cnf(c_0_493,negated_conjecture,
    ( horizontal_3_5
    | vertical_2_6
    | ~ horizontal_4_5 ),
    inference(spm,[status(thm)],[c_0_476,c_0_131]) ).

cnf(c_0_494,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_309]),c_0_299]),c_0_241]) ).

cnf(c_0_495,negated_conjecture,
    ( vertical_5_5
    | horizontal_4_1
    | ~ horizontal_5_3
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_136,c_0_478]) ).

cnf(c_0_496,negated_conjecture,
    ~ vertical_2_2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_481]) ).

cnf(c_0_497,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | horizontal_2_1
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_231]),c_0_184]) ).

cnf(c_0_498,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_482,c_0_483]) ).

cnf(c_0_499,negated_conjecture,
    ( horizontal_3_3
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_299]),c_0_409]) ).

cnf(c_0_500,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_240]),c_0_487]),c_0_488]) ).

cnf(c_0_501,negated_conjecture,
    ( horizontal_5_5
    | vertical_2_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_489]),c_0_490]),c_0_409]) ).

cnf(c_0_502,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_2
    | ~ vertical_5_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_491]) ).

cnf(c_0_503,negated_conjecture,
    ( horizontal_6_2
    | vertical_5_3
    | ~ vertical_5_4 ),
    inference(spm,[status(thm)],[c_0_492,c_0_100]) ).

cnf(c_0_504,negated_conjecture,
    ( horizontal_3_5
    | ~ horizontal_4_5
    | ~ horizontal_1_4 ),
    inference(spm,[status(thm)],[c_0_141,c_0_493]) ).

cnf(c_0_505,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | vertical_2_5
    | ~ horizontal_5_3
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_347,c_0_309]) ).

cnf(c_0_506,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_4_3
    | ~ horizontal_3_4
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_336]) ).

cnf(c_0_507,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_4_2
    | ~ horizontal_3_4
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_338]) ).

cnf(c_0_508,negated_conjecture,
    ( vertical_4_4
    | ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_310]),c_0_299]) ).

cnf(c_0_509,negated_conjecture,
    ( vertical_5_5
    | ~ horizontal_5_3
    | ~ vertical_4_2
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_155,c_0_495]) ).

cnf(c_0_510,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | horizontal_3_1 ),
    inference(sr,[status(thm)],[c_0_245,c_0_496]) ).

cnf(c_0_511,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ vertical_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_497]) ).

cnf(c_0_512,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_3
    | vertical_1_2 ),
    inference(sr,[status(thm)],[c_0_460,c_0_472]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_498]),c_0_499]) ).

cnf(c_0_514,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_500]),c_0_459]) ).

cnf(c_0_515,negated_conjecture,
    ( vertical_2_3
    | ~ vertical_5_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_501]) ).

cnf(c_0_516,negated_conjecture,
    ( vertical_4_2
    | vertical_2_3
    | ~ horizontal_5_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_158]),c_0_279]) ).

cnf(c_0_517,negated_conjecture,
    ( vertical_5_3
    | ~ vertical_5_4
    | ~ vertical_4_1 ),
    inference(spm,[status(thm)],[c_0_101,c_0_503]) ).

cnf(c_0_518,negated_conjecture,
    ( horizontal_3_5
    | vertical_1_4
    | horizontal_1_3
    | ~ horizontal_4_5 ),
    inference(spm,[status(thm)],[c_0_504,c_0_154]) ).

cnf(c_0_519,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_2_5
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_191]),c_0_444]) ).

cnf(c_0_520,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_3_4
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_206,c_0_444]) ).

cnf(c_0_521,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_309]),c_0_299]),c_0_241]) ).

cnf(c_0_522,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_309]),c_0_299]),c_0_241]) ).

cnf(c_0_523,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_200,c_0_508]) ).

cnf(c_0_524,negated_conjecture,
    ( vertical_5_3
    | ~ vertical_5_4
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_113,c_0_503]) ).

cnf(c_0_525,negated_conjecture,
    ( vertical_5_3
    | ~ vertical_5_4
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_114,c_0_503]) ).

cnf(c_0_526,negated_conjecture,
    ( vertical_5_5
    | vertical_3_2
    | horizontal_3_2
    | ~ horizontal_5_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_158]) ).

cnf(c_0_527,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_513]),c_0_514]) ).

cnf(c_0_528,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_1
    | ~ horizontal_5_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_165]),c_0_516]) ).

cnf(c_0_529,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_5_4
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_169,c_0_501]) ).

cnf(c_0_530,negated_conjecture,
    ( vertical_5_3
    | horizontal_4_1
    | vertical_3_1
    | ~ vertical_5_4 ),
    inference(spm,[status(thm)],[c_0_517,c_0_104]) ).

cnf(c_0_531,negated_conjecture,
    ( ~ vertical_5_5
    | ~ horizontal_5_4 ),
    unique_cover4_5_5 ).

cnf(c_0_532,negated_conjecture,
    ( horizontal_3_5
    | vertical_1_4
    | ~ horizontal_4_5
    | ~ horizontal_1_2 ),
    inference(spm,[status(thm)],[c_0_162,c_0_518]) ).

cnf(c_0_533,negated_conjecture,
    ( vertical_2_5
    | ~ horizontal_4_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_519]),c_0_202]) ).

cnf(c_0_534,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_3_4
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_520,c_0_468]) ).

cnf(c_0_535,negated_conjecture,
    ( vertical_3_3
    | ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_204]),c_0_522]),c_0_523]) ).

cnf(c_0_536,negated_conjecture,
    ( horizontal_5_4
    | vertical_5_3
    | horizontal_5_3
    | vertical_4_4
    | ~ vertical_5_2 ),
    inference(spm,[status(thm)],[c_0_524,c_0_168]) ).

cnf(c_0_537,negated_conjecture,
    ( horizontal_5_4
    | vertical_5_3
    | horizontal_5_3
    | vertical_4_4
    | ~ horizontal_5_1 ),
    inference(spm,[status(thm)],[c_0_525,c_0_168]) ).

cnf(c_0_538,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | horizontal_3_2
    | ~ horizontal_5_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_526]),c_0_527]) ).

cnf(c_0_539,negated_conjecture,
    ( vertical_4_2
    | vertical_2_3
    | ~ vertical_4_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_270]),c_0_306]) ).

cnf(c_0_540,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_5_3
    | ~ vertical_2_4
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_528]) ).

cnf(c_0_541,negated_conjecture,
    ( horizontal_5_3
    | vertical_4_4
    | vertical_2_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_182]),c_0_529]) ).

cnf(c_0_542,negated_conjecture,
    ( vertical_5_3
    | horizontal_4_1
    | ~ vertical_5_4
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_436,c_0_530]) ).

cnf(c_0_543,negated_conjecture,
    ( vertical_5_5
    | horizontal_4_1
    | ~ vertical_4_3
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_246,c_0_478]) ).

cnf(c_0_544,negated_conjecture,
    ( horizontal_2_1
    | ~ horizontal_5_4
    | ~ horizontal_5_2
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_531,c_0_231]) ).

cnf(c_0_545,negated_conjecture,
    ( horizontal_3_5
    | vertical_1_4
    | vertical_1_2
    | ~ horizontal_4_5 ),
    inference(spm,[status(thm)],[c_0_532,c_0_186]) ).

cnf(c_0_546,negated_conjecture,
    ( vertical_3_3
    | vertical_2_5
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_533,c_0_483]) ).

cnf(c_0_547,negated_conjecture,
    ( vertical_3_3
    | horizontal_3_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_240]),c_0_409]),c_0_535]) ).

cnf(c_0_548,negated_conjecture,
    ( horizontal_4_1
    | ~ vertical_5_2
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_436,c_0_139]) ).

cnf(c_0_549,negated_conjecture,
    ( horizontal_4_1
    | ~ horizontal_5_1
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_436,c_0_140]) ).

cnf(c_0_550,negated_conjecture,
    ( horizontal_2_1
    | ~ horizontal_5_3
    | ~ vertical_4_5
    | ~ vertical_4_2 ),
    inference(spm,[status(thm)],[c_0_146,c_0_165]) ).

cnf(c_0_551,negated_conjecture,
    ( vertical_4_2
    | ~ horizontal_5_3
    | ~ vertical_4_5 ),
    inference(spm,[status(thm)],[c_0_146,c_0_158]) ).

cnf(c_0_552,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ vertical_4_5 ),
    unique_cover3_5_5 ).

cnf(c_0_553,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ vertical_5_2
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_536]),c_0_402]) ).

cnf(c_0_554,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ horizontal_5_1
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_537]),c_0_402]) ).

cnf(c_0_555,negated_conjecture,
    ( vertical_4_2
    | ~ horizontal_5_4
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_531,c_0_270]) ).

cnf(c_0_556,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_3_5
    | horizontal_3_2 ),
    inference(spm,[status(thm)],[c_0_538,c_0_191]) ).

cnf(c_0_557,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_1
    | ~ vertical_4_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_283]),c_0_539]) ).

cnf(c_0_558,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_1
    | ~ horizontal_4_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_285]),c_0_286]) ).

cnf(c_0_559,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_5_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_512]),c_0_409]) ).

cnf(c_0_560,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    unique_cover1_4_4 ).

cnf(c_0_561,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_541]),c_0_514]) ).

cnf(c_0_562,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_3_5
    | ~ vertical_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_318]) ).

cnf(c_0_563,negated_conjecture,
    ( horizontal_5_4
    | vertical_5_3
    | horizontal_5_3
    | vertical_4_4
    | horizontal_4_1
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_542,c_0_168]) ).

cnf(c_0_564,negated_conjecture,
    ( vertical_5_5
    | ~ vertical_4_3
    | ~ vertical_4_2
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_155,c_0_543]) ).

cnf(c_0_565,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ horizontal_5_2
    | ~ vertical_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_544]) ).

cnf(c_0_566,negated_conjecture,
    ( horizontal_5_2
    | vertical_2_3
    | horizontal_2_3
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_460]),c_0_193]) ).

cnf(c_0_567,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_3_5
    | horizontal_3_5
    | vertical_1_4
    | vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_545,c_0_135]) ).

cnf(c_0_568,negated_conjecture,
    ( vertical_2_5
    | ~ vertical_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_546]),c_0_499]) ).

cnf(c_0_569,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | vertical_2_5
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_434,c_0_309]) ).

cnf(c_0_570,negated_conjecture,
    ( ~ horizontal_3_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_547]),c_0_280]) ).

cnf(c_0_571,negated_conjecture,
    ( horizontal_5_2
    | vertical_4_2
    | horizontal_4_1
    | ~ horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_548,c_0_148]),c_0_549]) ).

cnf(c_0_572,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_5
    | ~ vertical_1_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_550]),c_0_551]) ).

cnf(c_0_573,negated_conjecture,
    ( vertical_1_2
    | ~ vertical_4_5
    | ~ vertical_2_5
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_552,c_0_298]) ).

cnf(c_0_574,negated_conjecture,
    ( vertical_4_4
    | vertical_4_2
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_553,c_0_148]),c_0_554]),c_0_192]),c_0_555]) ).

cnf(c_0_575,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_512]),c_0_422]) ).

cnf(c_0_576,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | vertical_2_3
    | horizontal_2_3
    | ~ horizontal_5_3 ),
    inference(spm,[status(thm)],[c_0_347,c_0_512]) ).

cnf(c_0_577,negated_conjecture,
    ( vertical_3_5
    | horizontal_3_2
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_556]),c_0_208]) ).

cnf(c_0_578,negated_conjecture,
    ( vertical_2_3
    | ~ vertical_4_3
    | ~ vertical_2_4
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_557]) ).

cnf(c_0_579,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_4_2
    | ~ vertical_2_4
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_558]) ).

cnf(c_0_580,negated_conjecture,
    ( vertical_4_4
    | vertical_2_3
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_559,c_0_541]) ).

cnf(c_0_581,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_560,c_0_561]) ).

cnf(c_0_582,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_232]),c_0_223]),c_0_227]) ).

cnf(c_0_583,negated_conjecture,
    ( horizontal_3_5
    | ~ horizontal_4_5
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_198,c_0_493]) ).

cnf(c_0_584,negated_conjecture,
    ( horizontal_3_5
    | ~ horizontal_4_5
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_199,c_0_493]) ).

cnf(c_0_585,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | horizontal_4_1
    | ~ vertical_4_3
    | ~ horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_563]),c_0_402]) ).

cnf(c_0_586,negated_conjecture,
    ( vertical_5_5
    | vertical_3_2
    | horizontal_3_2
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_510]),c_0_270]) ).

cnf(c_0_587,negated_conjecture,
    ( ~ horizontal_5_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_512]),c_0_566]),c_0_513]),c_0_514]) ).

cnf(c_0_588,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_1_4
    | vertical_1_2
    | ~ vertical_2_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_567]),c_0_227]) ).

cnf(c_0_589,negated_conjecture,
    ( vertical_2_5
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_570]) ).

cnf(c_0_590,negated_conjecture,
    ( vertical_5_5
    | horizontal_4_1
    | ~ horizontal_5_2
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_211,c_0_478]) ).

cnf(c_0_591,negated_conjecture,
    ( horizontal_5_2
    | ~ horizontal_4_2
    | ~ horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_571]),c_0_272]) ).

cnf(c_0_592,negated_conjecture,
    ( horizontal_5_2
    | ~ horizontal_4_2
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_333,c_0_286]) ).

cnf(c_0_593,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_5
    | ~ vertical_2_5
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_572,c_0_573]) ).

cnf(c_0_594,negated_conjecture,
    ( vertical_4_2
    | ~ horizontal_4_4
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_560,c_0_574]) ).

cnf(c_0_595,negated_conjecture,
    ( horizontal_4_4
    | vertical_4_2
    | vertical_3_5
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_157,c_0_270]) ).

cnf(c_0_596,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_4
    | vertical_2_3
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_575,c_0_303]) ).

cnf(c_0_597,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | vertical_3_5
    | vertical_2_3
    | horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_576,c_0_191]) ).

cnf(c_0_598,negated_conjecture,
    ( ~ vertical_3_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_577]),c_0_570]) ).

cnf(c_0_599,negated_conjecture,
    ( vertical_2_3
    | ~ vertical_4_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_578,c_0_512]),c_0_409]) ).

cnf(c_0_600,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_4_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_512]),c_0_409]) ).

cnf(c_0_601,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_4_3
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_200,c_0_580]) ).

cnf(c_0_602,negated_conjecture,
    ( ~ vertical_3_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_527]),c_0_582]) ).

cnf(c_0_603,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | vertical_2_3
    | horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_460]),c_0_268]) ).

cnf(c_0_604,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_512]),c_0_494]) ).

cnf(c_0_605,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_3_5
    | horizontal_3_5
    | ~ horizontal_2_5 ),
    inference(spm,[status(thm)],[c_0_583,c_0_135]) ).

cnf(c_0_606,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_3_5
    | horizontal_3_5
    | ~ vertical_1_5 ),
    inference(spm,[status(thm)],[c_0_584,c_0_135]) ).

cnf(c_0_607,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ vertical_4_3
    | ~ horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_585]),c_0_574]) ).

cnf(c_0_608,negated_conjecture,
    ( horizontal_3_2
    | ~ horizontal_5_4
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_586]),c_0_587]) ).

cnf(c_0_609,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_1_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_588]),c_0_589]) ).

cnf(c_0_610,negated_conjecture,
    ( vertical_5_5
    | ~ horizontal_5_2
    | ~ horizontal_4_2
    | ~ horizontal_3_1 ),
    inference(spm,[status(thm)],[c_0_271,c_0_590]) ).

cnf(c_0_611,negated_conjecture,
    ( horizontal_5_2
    | horizontal_3_2
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_245]),c_0_592]),c_0_205]) ).

cnf(c_0_612,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ vertical_4_5
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_309]),c_0_593]) ).

cnf(c_0_613,negated_conjecture,
    ( horizontal_5_3
    | vertical_4_4
    | ~ vertical_4_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_182]),c_0_170]) ).

cnf(c_0_614,negated_conjecture,
    ( vertical_4_2
    | vertical_3_5
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_594,c_0_595]) ).

cnf(c_0_615,negated_conjecture,
    ( vertical_4_2
    | vertical_3_5
    | ~ horizontal_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_207]),c_0_202]) ).

cnf(c_0_616,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_4
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_427,c_0_310]) ).

cnf(c_0_617,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3
    | ~ vertical_3_5
    | ~ vertical_3_4 ),
    inference(spm,[status(thm)],[c_0_206,c_0_596]) ).

cnf(c_0_618,negated_conjecture,
    ( vertical_3_5
    | vertical_2_3
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_597]),c_0_598]),c_0_208]) ).

cnf(c_0_619,negated_conjecture,
    ( vertical_3_3
    | vertical_2_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_204]),c_0_600]),c_0_601]) ).

cnf(c_0_620,negated_conjecture,
    ( horizontal_3_2
    | vertical_2_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_409]) ).

cnf(c_0_621,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_4
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_604,c_0_310]) ).

cnf(c_0_622,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | ~ horizontal_3_4
    | ~ horizontal_2_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_605]),c_0_428]) ).

cnf(c_0_623,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | ~ horizontal_3_4
    | ~ vertical_1_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_606]),c_0_428]) ).

cnf(c_0_624,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_4_5
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_552,c_0_261]) ).

cnf(c_0_625,negated_conjecture,
    ( vertical_4_4
    | vertical_3_2
    | horizontal_3_2
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_510]),c_0_608]) ).

cnf(c_0_626,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | ~ vertical_4_5
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_573]),c_0_569]) ).

cnf(c_0_627,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_609]),c_0_570]),c_0_513]) ).

cnf(c_0_628,negated_conjecture,
    ( vertical_5_5
    | horizontal_3_2
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_510]),c_0_611]),c_0_205]) ).

cnf(c_0_629,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_4_5
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_612,c_0_613]) ).

cnf(c_0_630,negated_conjecture,
    ( vertical_4_2
    | horizontal_4_2
    | vertical_3_5
    | vertical_3_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_204]),c_0_615]) ).

cnf(c_0_631,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_4_4
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_560,c_0_616]) ).

cnf(c_0_632,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_3_5
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_512]),c_0_513]),c_0_514]) ).

cnf(c_0_633,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3
    | ~ vertical_3_4 ),
    inference(spm,[status(thm)],[c_0_617,c_0_618]) ).

cnf(c_0_634,negated_conjecture,
    ( vertical_2_3
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_619]),c_0_620]) ).

cnf(c_0_635,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3
    | ~ horizontal_4_4
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_560,c_0_621]) ).

cnf(c_0_636,negated_conjecture,
    ( horizontal_4_4
    | horizontal_2_4
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_213]),c_0_623]),c_0_241]),c_0_624]) ).

cnf(c_0_637,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | ~ horizontal_4_4
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_560,c_0_625]) ).

cnf(c_0_638,negated_conjecture,
    ( horizontal_4_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_626,c_0_627]),c_0_570]),c_0_513]) ).

cnf(c_0_639,negated_conjecture,
    ( vertical_1_2
    | ~ horizontal_4_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_628]),c_0_589]),c_0_570]) ).

cnf(c_0_640,negated_conjecture,
    ( vertical_4_4
    | horizontal_4_4
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_629,c_0_627]) ).

cnf(c_0_641,negated_conjecture,
    ( vertical_3_5
    | vertical_3_3
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_630]),c_0_205]) ).

cnf(c_0_642,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_527]),c_0_632]) ).

cnf(c_0_643,negated_conjecture,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_2_4
    | vertical_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_240]),c_0_634]) ).

cnf(c_0_644,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_635,c_0_636]) ).

cnf(c_0_645,negated_conjecture,
    ( ~ vertical_4_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_637,c_0_638]),c_0_570]),c_0_513]) ).

cnf(c_0_646,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_639]),c_0_570]),c_0_205]) ).

cnf(c_0_647,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_640]),c_0_202]) ).

cnf(c_0_648,negated_conjecture,
    ( horizontal_3_4
    | horizontal_3_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_240]),c_0_409]) ).

cnf(c_0_649,negated_conjecture,
    ( vertical_3_3
    | horizontal_2_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_632,c_0_641]) ).

cnf(c_0_650,negated_conjecture,
    ( horizontal_3_3
    | horizontal_2_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_643]),c_0_514]) ).

cnf(c_0_651,negated_conjecture,
    ( horizontal_3_3
    | horizontal_2_4
    | vertical_2_3 ),
    inference(spm,[status(thm)],[c_0_644,c_0_643]) ).

cnf(c_0_652,negated_conjecture,
    ( vertical_3_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_645,c_0_204]),c_0_646]),c_0_647]) ).

cnf(c_0_653,negated_conjecture,
    ( horizontal_3_3
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_648]),c_0_589]) ).

cnf(c_0_654,negated_conjecture,
    ( horizontal_2_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_649]),c_0_650]) ).

cnf(c_0_655,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_651]),c_0_473]) ).

cnf(c_0_656,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_4
    | ~ horizontal_3_4
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_234,c_0_435]) ).

cnf(c_0_657,negated_conjecture,
    ~ horizontal_2_3,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_652]),c_0_653]) ).

cnf(c_0_658,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3
    | horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_603]),c_0_655]) ).

cnf(c_0_659,negated_conjecture,
    ( horizontal_3_5
    | vertical_1_4
    | ~ horizontal_4_5
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_349,c_0_518]) ).

cnf(c_0_660,negated_conjecture,
    ( vertical_5_3
    | horizontal_4_1
    | ~ vertical_5_4
    | ~ vertical_2_1 ),
    inference(spm,[status(thm)],[c_0_107,c_0_530]) ).

cnf(c_0_661,negated_conjecture,
    ( horizontal_5_5
    | ~ horizontal_3_4
    | ~ horizontal_2_4
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_250,c_0_656]) ).

cnf(c_0_662,negated_conjecture,
    ( vertical_2_3
    | vertical_1_3 ),
    inference(sr,[status(thm)],[c_0_489,c_0_657]) ).

cnf(c_0_663,negated_conjecture,
    ( horizontal_2_4
    | vertical_2_3 ),
    inference(sr,[status(thm)],[c_0_658,c_0_657]) ).

cnf(c_0_664,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_3_5
    | horizontal_3_5
    | vertical_1_4
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_659,c_0_135]) ).

cnf(c_0_665,negated_conjecture,
    ( vertical_5_3
    | horizontal_4_1
    | horizontal_2_1
    | ~ vertical_5_4 ),
    inference(spm,[status(thm)],[c_0_660,c_0_133]) ).

cnf(c_0_666,negated_conjecture,
    ( horizontal_5_5
    | vertical_1_4
    | ~ vertical_3_5
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_224,c_0_435]) ).

cnf(c_0_667,negated_conjecture,
    ( horizontal_5_5
    | vertical_2_3
    | horizontal_2_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_489]),c_0_261]) ).

cnf(c_0_668,negated_conjecture,
    ( horizontal_5_5
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_662]),c_0_663]) ).

cnf(c_0_669,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_1_4
    | ~ horizontal_3_4
    | ~ vertical_1_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_664]),c_0_428]) ).

cnf(c_0_670,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(spm,[status(thm)],[c_0_560,c_0_508]) ).

cnf(c_0_671,negated_conjecture,
    ( horizontal_5_4
    | vertical_5_3
    | horizontal_5_3
    | vertical_4_4
    | horizontal_4_1
    | horizontal_2_1 ),
    inference(spm,[status(thm)],[c_0_665,c_0_168]) ).

cnf(c_0_672,negated_conjecture,
    ( vertical_2_3
    | vertical_1_2 ),
    inference(sr,[status(thm)],[c_0_512,c_0_657]) ).

cnf(c_0_673,negated_conjecture,
    ( horizontal_5_5
    | ~ vertical_3_5
    | ~ horizontal_2_4
    | ~ vertical_1_3 ),
    inference(spm,[status(thm)],[c_0_250,c_0_666]) ).

cnf(c_0_674,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_3
    | ~ vertical_5_5
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_667]) ).

cnf(c_0_675,negated_conjecture,
    ( vertical_2_3
    | ~ vertical_5_5
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_144,c_0_668]) ).

cnf(c_0_676,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_5_4
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_169,c_0_668]) ).

cnf(c_0_677,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | ~ horizontal_3_4
    | ~ vertical_1_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_669]),c_0_636]) ).

cnf(c_0_678,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ horizontal_2_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_636]),c_0_299]) ).

cnf(c_0_679,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | horizontal_4_1
    | horizontal_2_1
    | ~ horizontal_5_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_671]),c_0_150]) ).

cnf(c_0_680,negated_conjecture,
    ( horizontal_5_2
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_672]),c_0_514]) ).

cnf(c_0_681,negated_conjecture,
    ( horizontal_5_5
    | vertical_2_3
    | horizontal_2_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_489]),c_0_249]) ).

cnf(c_0_682,negated_conjecture,
    ( vertical_4_2
    | vertical_2_3
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_158]),c_0_494]) ).

cnf(c_0_683,negated_conjecture,
    ( horizontal_5_3
    | vertical_4_4
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_182]),c_0_676]) ).

cnf(c_0_684,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_3
    | ~ vertical_4_5
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_552,c_0_667]) ).

cnf(c_0_685,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_677,c_0_489]),c_0_678]) ).

cnf(c_0_686,negated_conjecture,
    ( vertical_4_4
    | horizontal_2_1
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_679]),c_0_680]),c_0_587]) ).

cnf(c_0_687,negated_conjecture,
    ( horizontal_5_5
    | vertical_2_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_662]),c_0_663]) ).

cnf(c_0_688,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_3
    | ~ vertical_5_5
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_144,c_0_681]) ).

cnf(c_0_689,negated_conjecture,
    ( vertical_4_4
    | vertical_4_2
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_682,c_0_683]) ).

cnf(c_0_690,negated_conjecture,
    ( horizontal_4_4
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_685]),c_0_678]) ).

cnf(c_0_691,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_686]) ).

cnf(c_0_692,negated_conjecture,
    ( horizontal_2_1
    | ~ horizontal_5_2
    | ~ vertical_4_5
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_146,c_0_231]) ).

cnf(c_0_693,negated_conjecture,
    ( vertical_2_3
    | ~ vertical_5_5
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_144,c_0_687]) ).

cnf(c_0_694,negated_conjecture,
    ( vertical_4_2
    | vertical_2_3
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_158]),c_0_422]) ).

cnf(c_0_695,negated_conjecture,
    ( vertical_4_2
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_689]),c_0_690]) ).

cnf(c_0_696,negated_conjecture,
    ( vertical_4_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_672]),c_0_514]) ).

cnf(c_0_697,negated_conjecture,
    ( ~ vertical_4_3
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_192,c_0_680]) ).

cnf(c_0_698,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_4_5
    | ~ vertical_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_692]) ).

cnf(c_0_699,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_1
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_165]),c_0_694]) ).

cnf(c_0_700,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_5_4
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_169,c_0_687]) ).

cnf(c_0_701,negated_conjecture,
    ( vertical_2_3
    | horizontal_2_1
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_675,c_0_165]),c_0_695]) ).

cnf(c_0_702,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_200,c_0_696]) ).

cnf(c_0_703,negated_conjecture,
    ( horizontal_4_3
    | vertical_3_3
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_204]),c_0_205]) ).

cnf(c_0_704,negated_conjecture,
    ( ~ vertical_4_5
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_698,c_0_512]),c_0_566]),c_0_513]),c_0_514]) ).

cnf(c_0_705,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_699]),c_0_672]) ).

cnf(c_0_706,negated_conjecture,
    ( horizontal_5_3
    | vertical_4_4
    | vertical_2_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_182]),c_0_700]) ).

cnf(c_0_707,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_701]),c_0_672]) ).

cnf(c_0_708,negated_conjecture,
    ( vertical_3_3
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_702,c_0_703]) ).

cnf(c_0_709,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_560,c_0_696]) ).

cnf(c_0_710,negated_conjecture,
    ( horizontal_4_4
    | ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_685]),c_0_514]) ).

cnf(c_0_711,negated_conjecture,
    ( vertical_4_4
    | vertical_2_3
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_705,c_0_706]) ).

cnf(c_0_712,negated_conjecture,
    ( vertical_4_4
    | vertical_2_3
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_707,c_0_683]) ).

cnf(c_0_713,negated_conjecture,
    ( ~ vertical_3_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_206,c_0_696]) ).

cnf(c_0_714,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_237,c_0_708]) ).

cnf(c_0_715,negated_conjecture,
    ( ~ horizontal_3_4
    | ~ vertical_3_2 ),
    inference(spm,[status(thm)],[c_0_709,c_0_710]) ).

cnf(c_0_716,negated_conjecture,
    ( vertical_2_3
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_711]),c_0_618]) ).

cnf(c_0_717,negated_conjecture,
    ( vertical_2_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_712]),c_0_690]) ).

cnf(c_0_718,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | vertical_2_3 ),
    inference(sr,[status(thm)],[c_0_603,c_0_657]) ).

cnf(c_0_719,negated_conjecture,
    ~ vertical_3_2,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_240]),c_0_602]),c_0_714]),c_0_715]) ).

cnf(c_0_720,negated_conjecture,
    ( horizontal_3_3
    | vertical_2_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_240]),c_0_634]),c_0_717]) ).

cnf(c_0_721,negated_conjecture,
    ( horizontal_3_2
    | vertical_2_3 ),
    inference(sr,[status(thm)],[c_0_718,c_0_719]) ).

cnf(c_0_722,negated_conjecture,
    ( vertical_3_2
    | horizontal_3_2
    | horizontal_2_1 ),
    inference(sr,[status(thm)],[c_0_257,c_0_496]) ).

cnf(c_0_723,negated_conjecture,
    vertical_2_3,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_720]),c_0_721]) ).

cnf(c_0_724,negated_conjecture,
    ( horizontal_2_4
    | horizontal_2_1
    | ~ horizontal_4_2
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_285]),c_0_286]) ).

cnf(c_0_725,negated_conjecture,
    ( horizontal_3_2
    | horizontal_3_1 ),
    inference(sr,[status(thm)],[c_0_510,c_0_719]) ).

cnf(c_0_726,negated_conjecture,
    ( horizontal_3_2
    | horizontal_2_4
    | ~ horizontal_5_3
    | ~ horizontal_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_526]),c_0_642]) ).

cnf(c_0_727,negated_conjecture,
    ( horizontal_3_2
    | horizontal_2_4
    | ~ horizontal_5_3
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_526]),c_0_632]) ).

cnf(c_0_728,negated_conjecture,
    ( horizontal_3_2
    | horizontal_2_1 ),
    inference(sr,[status(thm)],[c_0_722,c_0_719]) ).

cnf(c_0_729,negated_conjecture,
    ~ horizontal_3_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_473,c_0_723])]) ).

cnf(c_0_730,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | horizontal_4_1
    | ~ horizontal_5_2
    | ~ horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_563]),c_0_150]) ).

cnf(c_0_731,negated_conjecture,
    ( vertical_5_5
    | horizontal_3_2
    | vertical_2_2
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_245]),c_0_611]),c_0_205]) ).

cnf(c_0_732,negated_conjecture,
    ( horizontal_2_4
    | ~ horizontal_4_2
    | ~ vertical_3_5
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_333,c_0_724]) ).

cnf(c_0_733,negated_conjecture,
    ( vertical_4_4
    | horizontal_3_2
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_725]),c_0_608]) ).

cnf(c_0_734,negated_conjecture,
    ( vertical_4_4
    | horizontal_3_2
    | horizontal_2_4
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_726,c_0_310]) ).

cnf(c_0_735,negated_conjecture,
    ( vertical_4_4
    | horizontal_3_2
    | horizontal_2_4
    | ~ vertical_3_5 ),
    inference(spm,[status(thm)],[c_0_727,c_0_303]) ).

cnf(c_0_736,negated_conjecture,
    horizontal_2_1,
    inference(sr,[status(thm)],[c_0_728,c_0_729]) ).

cnf(c_0_737,negated_conjecture,
    ( horizontal_5_4
    | vertical_4_4
    | ~ horizontal_4_2
    | ~ horizontal_3_1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_730]),c_0_591]) ).

cnf(c_0_738,negated_conjecture,
    ( horizontal_3_2
    | ~ horizontal_5_4
    | ~ horizontal_4_2 ),
    inference(spm,[status(thm)],[c_0_531,c_0_628]) ).

cnf(c_0_739,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | horizontal_2_1
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_285]),c_0_286]) ).

cnf(c_0_740,negated_conjecture,
    ( horizontal_3_2
    | horizontal_2_4
    | ~ horizontal_4_2
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_731]),c_0_732]) ).

cnf(c_0_741,negated_conjecture,
    ( horizontal_3_2
    | ~ horizontal_4_4
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_560,c_0_733]) ).

cnf(c_0_742,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | horizontal_3_2
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_586]),c_0_527]) ).

cnf(c_0_743,negated_conjecture,
    ~ vertical_3_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_723])]) ).

cnf(c_0_744,negated_conjecture,
    ( horizontal_3_2
    | horizontal_2_4
    | ~ horizontal_4_4
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_560,c_0_734]) ).

cnf(c_0_745,negated_conjecture,
    ( horizontal_3_2
    | horizontal_2_4
    | ~ vertical_3_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_735]),c_0_577]) ).

cnf(c_0_746,negated_conjecture,
    ( horizontal_3_2
    | ~ vertical_1_2 ),
    inference(spm,[status(thm)],[c_0_319,c_0_728]) ).

cnf(c_0_747,negated_conjecture,
    ( vertical_1_2
    | ~ vertical_4_5
    | ~ vertical_2_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_552,c_0_220]) ).

cnf(c_0_748,negated_conjecture,
    ~ vertical_1_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_736])]) ).

cnf(c_0_749,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_1_2
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_588]),c_0_490]) ).

cnf(c_0_750,negated_conjecture,
    ( vertical_4_4
    | horizontal_3_2
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_737,c_0_510]),c_0_205]),c_0_738]) ).

cnf(c_0_751,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | ~ horizontal_4_2
    | ~ vertical_2_2 ),
    inference(spm,[status(thm)],[c_0_333,c_0_739]) ).

cnf(c_0_752,negated_conjecture,
    ( horizontal_3_2
    | vertical_1_2
    | ~ horizontal_4_2
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_628]),c_0_740]) ).

cnf(c_0_753,negated_conjecture,
    ( vertical_3_5
    | horizontal_3_2
    | ~ vertical_4_3 ),
    inference(spm,[status(thm)],[c_0_741,c_0_742]) ).

cnf(c_0_754,negated_conjecture,
    ( vertical_4_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference(sr,[status(thm)],[c_0_204,c_0_743]) ).

cnf(c_0_755,negated_conjecture,
    ( horizontal_3_2
    | horizontal_2_4
    | ~ horizontal_3_4 ),
    inference(spm,[status(thm)],[c_0_744,c_0_636]) ).

cnf(c_0_756,negated_conjecture,
    ( horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | vertical_2_4
    | horizontal_2_4 ),
    inference(spm,[status(thm)],[c_0_745,c_0_240]) ).

cnf(c_0_757,negated_conjecture,
    ( horizontal_3_2
    | ~ vertical_4_5
    | ~ vertical_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_746,c_0_747]),c_0_490]) ).

cnf(c_0_758,negated_conjecture,
    ( vertical_4_5
    | horizontal_4_4
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_748,c_0_749]) ).

cnf(c_0_759,negated_conjecture,
    ( horizontal_3_2
    | ~ horizontal_4_4
    | ~ horizontal_4_2 ),
    inference(spm,[status(thm)],[c_0_560,c_0_750]) ).

cnf(c_0_760,negated_conjecture,
    ( horizontal_4_4
    | vertical_3_5
    | horizontal_3_2
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_731]),c_0_751]) ).

cnf(c_0_761,negated_conjecture,
    ( horizontal_3_2
    | ~ horizontal_4_2
    | ~ vertical_3_5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_752]),c_0_205]) ).

cnf(c_0_762,negated_conjecture,
    ( vertical_3_5
    | horizontal_3_2
    | ~ horizontal_4_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_556]),c_0_202]) ).

cnf(c_0_763,negated_conjecture,
    ( horizontal_4_3
    | horizontal_4_2
    | vertical_3_5 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_754]),c_0_729]) ).

cnf(c_0_764,negated_conjecture,
    ( horizontal_3_3
    | vertical_2_4
    | horizontal_2_4 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_655]) ).

cnf(c_0_765,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    unique_cover6_4_5 ).

cnf(c_0_766,negated_conjecture,
    ( horizontal_4_4
    | ~ vertical_2_4 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_757,c_0_758]),c_0_729]) ).

cnf(c_0_767,negated_conjecture,
    ( horizontal_3_2
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_760]),c_0_761]) ).

cnf(c_0_768,negated_conjecture,
    ( horizontal_4_2
    | vertical_3_5 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_763]),c_0_729]) ).

cnf(c_0_769,negated_conjecture,
    ( vertical_2_4
    | horizontal_2_4
    | ~ vertical_2_3 ),
    inference(spm,[status(thm)],[c_0_459,c_0_764]) ).

cnf(c_0_770,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_2_4 ),
    inference(spm,[status(thm)],[c_0_765,c_0_766]) ).

cnf(c_0_771,negated_conjecture,
    vertical_3_5,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_767,c_0_768]),c_0_729]) ).

cnf(c_0_772,negated_conjecture,
    horizontal_1_2,
    inference(sr,[status(thm)],[c_0_186,c_0_748]) ).

cnf(c_0_773,negated_conjecture,
    ( vertical_2_4
    | horizontal_2_4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_769,c_0_723])]) ).

cnf(c_0_774,negated_conjecture,
    ~ vertical_2_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_770,c_0_771])]) ).

cnf(c_0_775,negated_conjecture,
    ~ horizontal_1_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_772])]) ).

cnf(c_0_776,negated_conjecture,
    horizontal_2_4,
    inference(sr,[status(thm)],[c_0_773,c_0_774]) ).

cnf(c_0_777,negated_conjecture,
    ( vertical_1_4
    | horizontal_1_4 ),
    inference(sr,[status(thm)],[c_0_154,c_0_775]) ).

cnf(c_0_778,negated_conjecture,
    ~ vertical_1_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_776])]) ).

cnf(c_0_779,negated_conjecture,
    horizontal_1_4,
    inference(sr,[status(thm)],[c_0_777,c_0_778]) ).

cnf(c_0_780,negated_conjecture,
    ~ horizontal_3_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_771])]) ).

cnf(c_0_781,negated_conjecture,
    ~ vertical_4_6,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_779])]),c_0_780]) ).

cnf(c_0_782,negated_conjecture,
    horizontal_3_1,
    inference(sr,[status(thm)],[c_0_725,c_0_729]) ).

cnf(c_0_783,negated_conjecture,
    ~ horizontal_3_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_459,c_0_723])]) ).

cnf(c_0_784,negated_conjecture,
    horizontal_5_5,
    inference(sr,[status(thm)],[c_0_123,c_0_781]) ).

cnf(c_0_785,negated_conjecture,
    ( horizontal_5_2
    | ~ horizontal_4_2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_591,c_0_782])]) ).

cnf(c_0_786,negated_conjecture,
    ( vertical_3_4
    | horizontal_3_4
    | vertical_2_4 ),
    inference(sr,[status(thm)],[c_0_240,c_0_783]) ).

cnf(c_0_787,negated_conjecture,
    ~ horizontal_3_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_771])]) ).

cnf(c_0_788,negated_conjecture,
    ~ vertical_5_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_784])]) ).

cnf(c_0_789,negated_conjecture,
    ( vertical_5_5
    | ~ horizontal_4_2 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_610,c_0_782])]),c_0_785]) ).

cnf(c_0_790,negated_conjecture,
    ( vertical_5_5
    | ~ vertical_4_3 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_564,c_0_782])]),c_0_270]) ).

cnf(c_0_791,negated_conjecture,
    vertical_3_4,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_786,c_0_774]),c_0_787]) ).

cnf(c_0_792,negated_conjecture,
    ~ horizontal_4_2,
    inference(spm,[status(thm)],[c_0_788,c_0_789]) ).

cnf(c_0_793,negated_conjecture,
    ~ vertical_4_3,
    inference(spm,[status(thm)],[c_0_788,c_0_790]) ).

cnf(c_0_794,negated_conjecture,
    ~ horizontal_4_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_791])]) ).

cnf(c_0_795,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_754,c_0_792]),c_0_793]),c_0_794]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : PUZ015-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 22:23:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 0.20/0.73  % Version  : CSE_E---1.5
% 0.20/0.73  % Problem  : theBenchmark.p
% 0.20/0.73  % Proof found
% 0.20/0.73  % SZS status Theorem for theBenchmark.p
% 0.20/0.73  % SZS output start Proof
% See solution above
% 0.62/0.75  % Total time : 0.162000 s
% 0.62/0.75  % SZS output end Proof
% 0.62/0.75  % Total time : 0.167000 s
%------------------------------------------------------------------------------