TSTP Solution File: PUZ015-2.006 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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  : 600s
% DateTime : Mon Jul 18 18:26:23 EDT 2022

% Result   : Unsatisfiable 3.44s 3.63s
% Output   : Refutation 3.52s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

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

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

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(6,plain,
    ( horizontal_1_2
    | vertical_1_2 ),
    inference('REWRITE',[status(thm)],[covered_1_2,uncovered1_1_1]) ).

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(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(12,plain,
    ( horizontal_2_1
    | vertical_2_1 ),
    inference('REWRITE',[status(thm)],[covered_2_1,uncovered2_1_1]) ).

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(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(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(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(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_1,negated_conjecture,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_4_1) ).

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(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(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(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(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(36,plain,
    ( horizontal_5_5
    | vertical_4_6 ),
    inference('REWRITE',[status(thm)],[covered_5_6,uncovered4_6_6]) ).

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

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_6_5,negated_conjecture,
    ( horizontal_6_5
    | horizontal_6_4
    | vertical_5_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',covered_6_5) ).

cnf(42,plain,
    ( horizontal_6_4
    | vertical_5_5 ),
    inference('REWRITE',[status(thm)],[covered_6_5,uncovered3_6_6]) ).

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_cover2_1_3,negated_conjecture,
    ( ~ horizontal_1_3
    | ~ horizontal_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_3) ).

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_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_1_5,negated_conjecture,
    ( ~ horizontal_1_5
    | ~ horizontal_1_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_1_5) ).

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_2_2,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_2_2) ).

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_cover3_2_2,negated_conjecture,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_2_2) ).

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_cover6_2_2,negated_conjecture,
    ( ~ horizontal_2_1
    | ~ vertical_1_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_2) ).

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_cover2_2_4,negated_conjecture,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_2_4) ).

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_cover4_2_4,negated_conjecture,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_2_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_cover6_2_4,negated_conjecture,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_2_4) ).

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_cover5_2_6,negated_conjecture,
    ( ~ vertical_2_6
    | ~ vertical_1_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_2_6) ).

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(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_cover3_3_1,negated_conjecture,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_1) ).

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

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_cover3_3_3,negated_conjecture,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover3_3_3) ).

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_cover5_3_3,negated_conjecture,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_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_cover1_3_5,negated_conjecture,
    ( ~ horizontal_3_5
    | ~ vertical_3_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_3_5) ).

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_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_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_5,negated_conjecture,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_3_5) ).

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_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_4_2,negated_conjecture,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_4_2) ).

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_cover4_4_2,negated_conjecture,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_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(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_cover1_4_4,negated_conjecture,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_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(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_cover4_4_4,negated_conjecture,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_4_4) ).

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_cover6_4_4,negated_conjecture,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_4_4) ).

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_cover5_4_6,negated_conjecture,
    ( ~ vertical_4_6
    | ~ vertical_3_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_4_6) ).

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_cover1_5_1,negated_conjecture,
    ( ~ horizontal_5_1
    | ~ vertical_5_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover1_5_1) ).

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_5_1,negated_conjecture,
    ( ~ vertical_5_1
    | ~ vertical_4_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover5_5_1) ).

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_cover2_5_3,negated_conjecture,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_5_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(unique_cover4_5_3,negated_conjecture,
    ( ~ vertical_5_3
    | ~ horizontal_5_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_5_3) ).

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_cover6_5_3,negated_conjecture,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_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_cover2_5_5,negated_conjecture,
    ( ~ horizontal_5_5
    | ~ horizontal_5_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_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_cover4_5_5,negated_conjecture,
    ( ~ vertical_5_5
    | ~ horizontal_5_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover4_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(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_cover2_6_2,negated_conjecture,
    ( ~ horizontal_6_2
    | ~ horizontal_6_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover2_6_2) ).

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_cover6_6_2,negated_conjecture,
    ( ~ horizontal_6_1
    | ~ vertical_5_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_2) ).

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(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_cover6_6_4,negated_conjecture,
    ( ~ horizontal_6_3
    | ~ vertical_5_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_cover6_6_4) ).

cnf(181,plain,
    ( horizontal_3_5
    | vertical_2_6
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_6,covered_3_6,36]) ).

cnf(182,plain,
    ( horizontal_4_1
    | vertical_3_1
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_5_1,covered_4_1,covered_6_1]) ).

cnf(184,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | vertical_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_5_3,covered_4_3,covered_6_3]) ).

cnf(186,plain,
    ( horizontal_4_5
    | horizontal_4_4
    | vertical_3_5
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_5_5,covered_4_5,42]) ).

cnf(187,plain,
    ( horizontal_3_5
    | horizontal_5_5
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_6,181,covered_1_6]) ).

cnf(188,plain,
    ( horizontal_4_1
    | horizontal_6_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,182,12]) ).

cnf(189,plain,
    ( horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4
    | horizontal_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_5,186,covered_2_5]) ).

cnf(190,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,187,42]) ).

cnf(192,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_5,187,covered_4_5]) ).

cnf(194,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_2,188,covered_5_2]) ).

cnf(195,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,184,covered_2_3]) ).

cnf(197,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,190,covered_5_4]) ).

cnf(198,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_5,192,covered_2_5]) ).

cnf(199,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_2,194,covered_3_2]) ).

cnf(200,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,197,covered_3_4]) ).

cnf(201,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,199,6]) ).

cnf(202,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,200,covered_1_4]) ).

cnf(203,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,201,covered_6_3]) ).

cnf(205,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,201,covered_4_3]) ).

cnf(206,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,202,187]) ).

cnf(207,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_6_2
    | horizontal_3_5
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,203,190]) ).

cnf(208,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,203,covered_5_4]) ).

cnf(209,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,206,covered_6_3]) ).

cnf(211,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,206,covered_4_3]) ).

cnf(213,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,205,covered_2_3]) ).

cnf(214,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_5
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,207,188]) ).

cnf(215,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,209,190]) ).

cnf(216,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_5
    | horizontal_1_5
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,214,covered_4_1]) ).

cnf(218,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,215,188]) ).

cnf(219,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,215,covered_5_2]) ).

cnf(220,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,208,covered_3_4]) ).

cnf(221,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,211,covered_2_3]) ).

cnf(222,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_5
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,216,12]) ).

cnf(223,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_5
    | horizontal_1_5
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,222,covered_3_2]) ).

cnf(225,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_5
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,223,6]) ).

cnf(227,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,225,186]) ).

cnf(228,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,219,218]) ).

cnf(230,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,220,covered_1_4]) ).

cnf(231,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_5_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,228,206]) ).

cnf(232,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,231,covered_6_1]) ).

cnf(235,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,227,203]) ).

cnf(236,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,232,215]) ).

cnf(237,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,236,186]) ).

cnf(239,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,230,188]) ).

cnf(240,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,239,42]) ).

cnf(244,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,240,203]) ).

cnf(249,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,235,188]) ).

cnf(251,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,237,covered_5_4]) ).

cnf(252,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,244,188]) ).

cnf(254,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,249,covered_4_1]) ).

cnf(256,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,252,201]) ).

cnf(258,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,256,covered_4_1]) ).

cnf(260,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,254,12]) ).

cnf(261,plain,
    ( horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,258,12]) ).

cnf(262,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,260,36]) ).

cnf(263,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,261,covered_3_2]) ).

cnf(264,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,262,42]) ).

cnf(265,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,263,6]) ).

cnf(266,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,265,225]) ).

cnf(268,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,265,186]) ).

cnf(270,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,251,covered_3_4]) ).

cnf(273,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,264,203]) ).

cnf(276,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,266,205]) ).

cnf(278,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,270,covered_1_4]) ).

cnf(279,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,278,covered_4_5]) ).

cnf(283,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,268,203]) ).

cnf(284,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,273,188]) ).

cnf(285,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,279,236]) ).

cnf(286,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,284,covered_4_1]) ).

cnf(289,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,285,covered_6_3]) ).

cnf(290,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,285,covered_4_3]) ).

cnf(295,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,286,12]) ).

cnf(297,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,295,208]) ).

cnf(301,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,276,covered_4_1]) ).

cnf(305,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,289,237]) ).

cnf(307,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,305,188]) ).

cnf(308,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,305,covered_5_2]) ).

cnf(311,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,283,188]) ).

cnf(313,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,301,12]) ).

cnf(314,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,307,36]) ).

cnf(316,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,311,covered_4_1]) ).

cnf(318,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,313,295]) ).

cnf(324,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,314,42]) ).

cnf(325,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,316,12]) ).

cnf(326,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_4_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_2,318,covered_3_2]) ).

cnf(327,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,325,36]) ).

cnf(329,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,297,188]) ).

cnf(332,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,324,covered_5_4]) ).

cnf(333,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,326,6]) ).

cnf(334,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,327,42]) ).

cnf(335,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,329,42]) ).

cnf(337,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,333,covered_3_2]) ).

cnf(338,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,334,203]) ).

cnf(340,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,335,203]) ).

cnf(341,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,337,6]) ).

cnf(343,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,341,290]) ).

cnf(344,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,340,188]) ).

cnf(345,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,344,201]) ).

cnf(346,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,345,covered_4_1]) ).

cnf(348,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,332,covered_3_4]) ).

cnf(350,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,338,188]) ).

cnf(351,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,346,12]) ).

cnf(352,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,350,covered_4_1]) ).

cnf(354,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,351,covered_3_2]) ).

cnf(355,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,348,covered_1_4]) ).

cnf(357,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,352,12]) ).

cnf(358,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,354,6]) ).

cnf(359,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,355,314]) ).

cnf(361,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,357,208]) ).

cnf(362,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_3,358,covered_2_3]) ).

cnf(363,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,358,184]) ).

cnf(365,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,359,covered_6_3]) ).

cnf(372,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,365,324]) ).

cnf(374,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,372,188]) ).

cnf(375,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,374,covered_3_4]) ).

cnf(376,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,343,36]) ).

cnf(378,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,375,covered_1_4]) ).

cnf(380,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,378,308]) ).

cnf(381,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,361,188]) ).

cnf(382,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,363,190]) ).

cnf(383,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,363,covered_5_4]) ).

cnf(385,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,376,42]) ).

cnf(386,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,381,42]) ).

cnf(387,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,382,188]) ).

cnf(389,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,382,covered_5_2]) ).

cnf(391,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,385,363]) ).

cnf(392,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,386,203]) ).

cnf(394,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,387,197]) ).

cnf(396,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,392,188]) ).

cnf(397,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,396,201]) ).

cnf(398,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,397,covered_4_1]) ).

cnf(400,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,380,285]) ).

cnf(403,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,398,12]) ).

cnf(404,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,400,covered_6_1]) ).

cnf(406,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,403,covered_3_2]) ).

cnf(411,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,394,187]) ).

cnf(412,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,404,305]) ).

cnf(413,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,406,6]) ).

cnf(414,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,411,covered_6_3]) ).

cnf(415,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,412,36]) ).

cnf(417,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,413,205]) ).

cnf(420,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,391,covered_5_2]) ).

cnf(423,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,415,42]) ).

cnf(428,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,414,190]) ).

cnf(429,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,423,covered_5_4]) ).

cnf(430,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,428,188]) ).

cnf(431,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,430,194]) ).

cnf(435,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,417,covered_4_1]) ).

cnf(438,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,420,378]) ).

cnf(442,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,431,covered_6_3]) ).

cnf(443,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,438,covered_4_3]) ).

cnf(444,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,429,covered_3_4]) ).

cnf(445,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,435,12]) ).

cnf(447,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,443,358]) ).

cnf(448,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,445,208]) ).

cnf(450,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,447,covered_6_1]) ).

cnf(456,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,442,190]) ).

cnf(457,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,444,covered_1_4]) ).

cnf(458,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,450,391]) ).

cnf(460,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,456,188]) ).

cnf(461,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,457,415]) ).

cnf(462,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,458,covered_3_4]) ).

cnf(464,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,460,covered_4_1]) ).

cnf(466,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,461,covered_6_3]) ).

cnf(470,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,462,covered_1_4]) ).

cnf(472,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,464,12]) ).

cnf(473,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,470,covered_3_4]) ).

cnf(477,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,472,389]) ).

cnf(478,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,466,423]) ).

cnf(479,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,473,covered_1_4]) ).

cnf(480,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,478,covered_5_2]) ).

cnf(481,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,479,378]) ).

cnf(482,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,481,192]) ).

cnf(485,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,448,188]) ).

cnf(487,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,485,42]) ).

cnf(492,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,487,203]) ).

cnf(495,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,477,covered_4_3]) ).

cnf(496,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,480,378]) ).

cnf(497,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | vertical_2_6 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,482,covered_3_6]) ).

cnf(502,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,492,188]) ).

cnf(503,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,496,461]) ).

cnf(505,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,502,201]) ).

cnf(506,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,503,covered_6_1]) ).

cnf(508,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,505,covered_4_1]) ).

cnf(511,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,495,358]) ).

cnf(512,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_6,497,covered_1_6]) ).

cnf(513,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,506,478]) ).

cnf(514,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,508,12]) ).

cnf(515,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,511,covered_6_1]) ).

cnf(517,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,513,covered_3_4]) ).

cnf(518,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_2,514,covered_3_2]) ).

cnf(520,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,515,382]) ).

cnf(521,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,517,covered_1_4]) ).

cnf(522,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,518,6]) ).

cnf(525,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,520,197]) ).

cnf(527,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,520,512]) ).

cnf(528,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,521,192]) ).

cnf(531,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,522,covered_3_2]) ).

cnf(536,plain,
    ( horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,531,6]) ).

cnf(538,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,536,184]) ).

cnf(540,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,525,187]) ).

cnf(543,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,540,covered_6_3]) ).

cnf(544,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,527,472]) ).

cnf(545,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_4
    | vertical_2_6 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,528,covered_3_6]) ).

cnf(549,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,544,521]) ).

cnf(550,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,549,536]) ).

cnf(551,plain,
    ( horizontal_2_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,550,12]) ).

cnf(552,plain,
    ( horizontal_1_2
    | horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_2,551,6]) ).

cnf(553,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4
    | horizontal_2_5
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,552,189]) ).

cnf(556,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,543,190]) ).

cnf(557,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_6,545,covered_1_6]) ).

cnf(558,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,556,covered_5_2]) ).

cnf(559,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,557,197]) ).

cnf(560,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,538,covered_5_4]) ).

cnf(562,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,559,187]) ).

cnf(563,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,562,covered_6_3]) ).

cnf(565,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,558,472]) ).

cnf(566,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,565,540]) ).

cnf(567,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,566,covered_6_1]) ).

cnf(569,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,553,covered_5_4]) ).

cnf(571,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,560,covered_3_4]) ).

cnf(572,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,563,190]) ).

cnf(573,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,567,556]) ).

cnf(574,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,572,188]) ).

cnf(575,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,572,covered_5_2]) ).

cnf(576,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,573,472]) ).

cnf(577,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_5,576,covered_2_5]) ).

cnf(578,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,576,186]) ).

cnf(582,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,569,covered_3_4]) ).

cnf(583,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,571,covered_1_4]) ).

cnf(584,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,575,574]) ).

cnf(586,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,578,covered_5_4]) ).

cnf(587,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,578,363]) ).

cnf(588,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,583,188]) ).

cnf(590,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,583,covered_5_2]) ).

cnf(591,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,584,562]) ).

cnf(592,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,591,covered_6_1]) ).

cnf(593,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,588,42]) ).

cnf(596,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,592,572]) ).

cnf(597,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,596,521]) ).

cnf(600,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,597,184]) ).

cnf(604,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,593,538]) ).

cnf(605,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,582,covered_1_4]) ).

cnf(607,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,587,188]) ).

cnf(609,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,587,covered_5_2]) ).

cnf(613,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,604,188]) ).

cnf(614,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,605,covered_4_5]) ).

cnf(616,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,613,covered_4_3]) ).

cnf(619,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,607,36]) ).

cnf(621,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_5,614,covered_2_5]) ).

cnf(622,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,616,536]) ).

cnf(623,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,622,covered_3_4]) ).

cnf(626,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,600,190]) ).

cnf(627,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,600,covered_5_4]) ).

cnf(629,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,619,42]) ).

cnf(632,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,621,552]) ).

cnf(633,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,623,covered_1_4]) ).

cnf(635,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,632,covered_6_3]) ).

cnf(636,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,632,covered_4_3]) ).

cnf(637,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,633,194]) ).

cnf(638,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,626,188]) ).

cnf(640,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,626,covered_5_2]) ).

cnf(641,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,629,363]) ).

cnf(646,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,635,553]) ).

cnf(647,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,637,covered_6_3]) ).

cnf(649,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,638,197]) ).

cnf(650,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,641,188]) ).

cnf(651,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,646,188]) ).

cnf(654,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,650,383]) ).

cnf(655,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,636,536]) ).

cnf(658,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,647,covered_5_4]) ).

cnf(659,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,649,187]) ).

cnf(660,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,651,36]) ).

cnf(664,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,659,covered_6_3]) ).

cnf(666,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,654,188]) ).

cnf(667,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,655,36]) ).

cnf(670,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,660,42]) ).

cnf(672,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,666,42]) ).

cnf(673,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,664,190]) ).

cnf(674,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,667,42]) ).

cnf(675,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,670,covered_5_4]) ).

cnf(678,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,672,363]) ).

cnf(679,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,673,188]) ).

cnf(682,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,679,194]) ).

cnf(684,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,658,covered_3_4]) ).

cnf(686,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,674,covered_5_4]) ).

cnf(687,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,678,188]) ).

cnf(689,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,687,covered_4_3]) ).

cnf(693,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,682,covered_6_3]) ).

cnf(694,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,684,covered_1_4]) ).

cnf(697,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,689,358]) ).

cnf(699,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,694,188]) ).

cnf(701,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,697,586]) ).

cnf(705,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,699,42]) ).

cnf(709,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,675,covered_3_4]) ).

cnf(712,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,705,647]) ).

cnf(717,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,686,covered_3_4]) ).

cnf(718,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,693,190]) ).

cnf(719,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,709,covered_1_4]) ).

cnf(720,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,712,188]) ).

cnf(723,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,718,188]) ).

cnf(724,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,719,660]) ).

cnf(725,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,720,637]) ).

cnf(728,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,723,covered_4_1]) ).

cnf(730,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,724,covered_6_3]) ).

cnf(732,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,725,covered_4_1]) ).

cnf(734,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,717,covered_1_4]) ).

cnf(737,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,728,12]) ).

cnf(738,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,732,12]) ).

cnf(739,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,734,667]) ).

cnf(741,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,737,640]) ).

cnf(743,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,738,590]) ).

cnf(746,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,739,covered_4_3]) ).

cnf(747,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,701,covered_4_5]) ).

cnf(748,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,730,670]) ).

cnf(750,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,746,536]) ).

cnf(751,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,748,188]) ).

cnf(752,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,750,covered_3_4]) ).

cnf(754,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,751,covered_3_4]) ).

cnf(756,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,747,576]) ).

cnf(758,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,752,covered_1_4]) ).

cnf(759,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,754,covered_1_4]) ).

cnf(760,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,756,covered_6_3]) ).

cnf(762,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,758,covered_3_4]) ).

cnf(765,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,762,covered_1_4]) ).

cnf(766,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,765,759]) ).

cnf(767,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_3_1
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_5,766,covered_2_5]) ).

cnf(769,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,741,covered_4_3]) ).

cnf(770,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,760,578]) ).

cnf(773,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,767,552]) ).

cnf(774,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,770,188]) ).

cnf(777,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,773,536]) ).

cnf(778,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,774,36]) ).

cnf(782,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,777,12]) ).

cnf(783,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,782,181]) ).

cnf(784,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,769,597]) ).

cnf(785,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,778,42]) ).

cnf(786,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,784,covered_6_1]) ).

cnf(787,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,743,42]) ).

cnf(791,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,783,42]) ).

cnf(793,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_5,783,covered_4_5]) ).

cnf(795,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,785,covered_5_4]) ).

cnf(796,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,786,626]) ).

cnf(798,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,796,197]) ).

cnf(799,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,787,538]) ).

cnf(800,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,791,covered_5_4]) ).

cnf(801,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,791,538]) ).

cnf(802,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,798,187]) ).

cnf(804,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,799,covered_5_2]) ).

cnf(805,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,802,covered_6_3]) ).

cnf(806,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,795,697]) ).

cnf(808,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,804,738]) ).

cnf(809,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,806,778]) ).

cnf(810,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,808,covered_4_3]) ).

cnf(813,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,809,covered_6_3]) ).

cnf(815,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,805,190]) ).

cnf(817,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,810,536]) ).

cnf(818,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,815,covered_5_2]) ).

cnf(820,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,817,covered_4_3]) ).

cnf(825,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,801,188]) ).

cnf(827,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,801,covered_5_2]) ).

cnf(828,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,813,785]) ).

cnf(829,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,820,536]) ).

cnf(831,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,828,188]) ).

cnf(832,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,829,covered_6_1]) ).

cnf(835,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,831,697]) ).

cnf(836,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,835,194]) ).

cnf(837,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,825,800]) ).

cnf(839,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,832,583]) ).

cnf(844,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,818,737]) ).

cnf(845,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,836,covered_6_3]) ).

cnf(848,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,844,802]) ).

cnf(854,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,848,covered_6_1]) ).

cnf(855,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,837,783]) ).

cnf(857,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,839,42]) ).

cnf(860,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,854,815]) ).

cnf(861,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,855,covered_6_3]) ).

cnf(862,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,860,737]) ).

cnf(863,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,862,186]) ).

cnf(864,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,845,578]) ).

cnf(865,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,845,covered_5_4]) ).

cnf(868,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,857,538]) ).

cnf(873,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,861,791]) ).

cnf(874,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,868,832]) ).

cnf(875,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,873,188]) ).

cnf(876,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,874,covered_4_3]) ).

cnf(879,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,875,194]) ).

cnf(886,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,863,covered_5_4]) ).

cnf(887,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,863,600]) ).

cnf(888,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,864,188]) ).

cnf(889,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,876,536]) ).

cnf(890,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,888,covered_4_1]) ).

cnf(891,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,889,covered_3_4]) ).

cnf(896,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,879,covered_6_3]) ).

cnf(897,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,890,12]) ).

cnf(898,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,891,covered_1_4]) ).

cnf(900,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,897,36]) ).

cnf(901,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,898,738]) ).

cnf(904,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,901,793]) ).

cnf(908,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,900,42]) ).

cnf(912,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,887,188]) ).

cnf(914,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,887,covered_5_2]) ).

cnf(915,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,896,791]) ).

cnf(916,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,908,845]) ).

cnf(918,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,915,188]) ).

cnf(919,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,918,covered_4_1]) ).

cnf(923,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,912,36]) ).

cnf(924,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,919,12]) ).

cnf(925,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,924,827]) ).

cnf(926,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_4
    | vertical_2_6 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,904,covered_3_6]) ).

cnf(932,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,916,188]) ).

cnf(933,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,923,42]) ).

cnf(934,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,932,covered_4_1]) ).

cnf(937,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_3_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,926,782]) ).

cnf(939,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,933,600]) ).

cnf(941,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,934,12]) ).

cnf(946,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,941,865]) ).

cnf(950,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,939,188]) ).

cnf(952,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,950,627]) ).

cnf(956,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,925,covered_4_3]) ).

cnf(968,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,956,536]) ).

cnf(972,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,968,covered_6_1]) ).

cnf(975,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,946,188]) ).

cnf(976,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,952,188]) ).

cnf(982,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,972,801]) ).

cnf(984,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,975,42]) ).

cnf(985,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,976,42]) ).

cnf(987,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,982,937]) ).

cnf(995,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,984,845]) ).

cnf(996,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,985,600]) ).

cnf(997,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,987,924]) ).

cnf(999,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,997,901]) ).

cnf(1000,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,999,536]) ).

cnf(1001,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1000,12]) ).

cnf(1002,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_2_4,1001,covered_1_4]) ).

cnf(1003,plain,
    ( horizontal_1_2
    | horizontal_1_4
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_2,1002,6]) ).

cnf(1004,plain,
    ( horizontal_1_2
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_1_5
    | horizontal_2_5
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_1_5,1003,577]) ).

cnf(1008,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,995,188]) ).

cnf(1009,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,996,188]) ).

cnf(1010,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1008,836]) ).

cnf(1011,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,1009,covered_4_3]) ).

cnf(1013,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1010,covered_4_1]) ).

cnf(1014,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,1011,597]) ).

cnf(1015,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1013,12]) ).

cnf(1016,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,1014,886]) ).

cnf(1017,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1015,609]) ).

cnf(1018,plain,
    ( horizontal_1_2
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_5
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1004,12]) ).

cnf(1022,plain,
    ( horizontal_1_2
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_6,1018,covered_1_6]) ).

cnf(1030,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,1016,covered_4_5]) ).

cnf(1032,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,1030,862]) ).

cnf(1036,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1032,covered_6_3]) ).

cnf(1037,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,1017,covered_4_3]) ).

cnf(1043,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1036,863]) ).

cnf(1044,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1037,358]) ).

cnf(1047,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1043,188]) ).

cnf(1048,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1044,covered_6_1]) ).

cnf(1049,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1047,36]) ).

cnf(1051,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1048,587]) ).

cnf(1052,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1049,42]) ).

cnf(1056,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1051,36]) ).

cnf(1059,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1052,covered_5_4]) ).

cnf(1060,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1056,42]) ).

cnf(1067,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1060,363]) ).

cnf(1079,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1067,covered_5_2]) ).

cnf(1083,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,1059,1014]) ).

cnf(1087,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,1083,1049]) ).

cnf(1088,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1087,covered_6_3]) ).

cnf(1096,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1079,1015]) ).

cnf(1098,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1088,1052]) ).

cnf(1101,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,1096,covered_4_3]) ).

cnf(1104,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1098,188]) ).

cnf(1106,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,1104,1014]) ).

cnf(1107,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,1106,194]) ).

cnf(1112,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1101,358]) ).

cnf(1115,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1112,covered_6_1]) ).

cnf(1124,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,1107,covered_6_3]) ).

cnf(1127,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1115,1067]) ).

cnf(1130,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,1127,covered_3_4]) ).

cnf(1145,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1124,863]) ).

cnf(1146,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,1124,covered_5_4]) ).

cnf(1152,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,1130,1022]) ).

cnf(1159,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1145,188]) ).

cnf(1160,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,1152,covered_3_4]) ).

cnf(1163,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1159,covered_4_1]) ).

cnf(1170,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,1160,1022]) ).

cnf(1172,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1163,12]) ).

cnf(1175,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,1170,1015]) ).

cnf(1177,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1172,36]) ).

cnf(1178,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,1175,576]) ).

cnf(1181,plain,
    ( horizontal_2_1
    | horizontal_3_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,1178,358]) ).

cnf(1182,plain,
    ( horizontal_2_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1181,12]) ).

cnf(1183,plain,
    ( horizontal_1_2
    | horizontal_1_5
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_2,1182,6]) ).

cnf(1184,plain,
    ( horizontal_1_2
    | horizontal_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_1_5,1183,1003]) ).

cnf(1185,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_1_5
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_3,1184,362]) ).

cnf(1188,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_3,1184,213]) ).

cnf(1190,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1177,42]) ).

cnf(1192,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1190,1124]) ).

cnf(1197,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1192,188]) ).

cnf(1199,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1197,covered_4_1]) ).

cnf(1202,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1185,12]) ).

cnf(1203,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1199,12]) ).

cnf(1205,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1202,1130]) ).

cnf(1208,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,1203,1146]) ).

cnf(1222,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1188,covered_4_1]) ).

cnf(1223,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1208,188]) ).

cnf(1229,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1223,42]) ).

cnf(1230,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,1205,covered_3_4]) ).

cnf(1232,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1222,12]) ).

cnf(1234,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1229,1124]) ).

cnf(1240,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,1232,208]) ).

cnf(1243,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1230,1202]) ).

cnf(1245,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1234,188]) ).

cnf(1246,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,1243,1015]) ).

cnf(1249,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1245,1107]) ).

cnf(1250,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,1246,576]) ).

cnf(1251,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1249,covered_4_1]) ).

cnf(1252,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,1250,358]) ).

cnf(1253,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1252,12]) ).

cnf(1254,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_2_2,1253,6]) ).

cnf(1255,plain,
    ( horizontal_1_2
    | horizontal_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_2,1254,6]) ).

cnf(1256,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4
    | horizontal_2_5
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,1255,189]) ).

cnf(1257,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1251,12]) ).

cnf(1259,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1257,914]) ).

cnf(1260,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1240,188]) ).

cnf(1261,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1260,42]) ).

cnf(1263,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1261,203]) ).

cnf(1265,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1256,covered_5_4]) ).

cnf(1267,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1256,203]) ).

cnf(1268,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1263,188]) ).

cnf(1269,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1268,201]) ).

cnf(1271,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1269,covered_4_1]) ).

cnf(1272,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1271,12]) ).

cnf(1273,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_2_3
    | horizontal_2_2
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_2,1272,covered_3_2]) ).

cnf(1275,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,1259,covered_4_3]) ).

cnf(1276,plain,
    ( horizontal_1_2
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,1273,6]) ).

cnf(1277,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_2_3
    | horizontal_2_2
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,1276,covered_3_2]) ).

cnf(1279,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,1265,covered_3_4]) ).

cnf(1280,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,1275,597]) ).

cnf(1281,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,1277,6]) ).

cnf(1282,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1280,covered_6_1]) ).

cnf(1283,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_3,1281,covered_2_3]) ).

cnf(1284,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1282,887]) ).

cnf(1285,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_3,1283,1184]) ).

cnf(1286,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1284,36]) ).

cnf(1287,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1285,12]) ).

cnf(1288,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1287,220]) ).

cnf(1291,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1286,42]) ).

cnf(1292,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1267,188]) ).

cnf(1293,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1279,1287]) ).

cnf(1294,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1291,600]) ).

cnf(1296,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1292,covered_4_1]) ).

cnf(1299,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1294,covered_5_2]) ).

cnf(1300,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1296,12]) ).

cnf(1301,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1300,36]) ).

cnf(1306,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1301,42]) ).

cnf(1307,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1306,203]) ).

cnf(1309,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1299,1257]) ).

cnf(1310,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,1309,covered_4_3]) ).

cnf(1312,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1307,188]) ).

cnf(1313,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,1310,597]) ).

cnf(1316,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1312,covered_4_1]) ).

cnf(1318,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1313,covered_6_1]) ).

cnf(1319,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,1293,covered_4_5]) ).

cnf(1323,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1316,12]) ).

cnf(1324,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1318,1294]) ).

cnf(1327,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,1323,208]) ).

cnf(1328,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,1324,627]) ).

cnf(1329,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1288,188]) ).

cnf(1330,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_5,1319,covered_2_5]) ).

cnf(1332,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1329,42]) ).

cnf(1338,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,1330,1255]) ).

cnf(1339,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1332,203]) ).

cnf(1342,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1338,covered_6_3]) ).

cnf(1343,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,1338,covered_4_3]) ).

cnf(1349,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1328,covered_5_2]) ).

cnf(1350,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1339,188]) ).

cnf(1352,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1350,201]) ).

cnf(1353,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1352,covered_4_1]) ).

cnf(1355,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1327,188]) ).

cnf(1356,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1342,1256]) ).

cnf(1360,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1353,12]) ).

cnf(1361,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1355,42]) ).

cnf(1362,plain,
    ( horizontal_1_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1356,188]) ).

cnf(1364,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,1360,covered_3_2]) ).

cnf(1367,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1361,203]) ).

cnf(1368,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1362,36]) ).

cnf(1371,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,1364,6]) ).

cnf(1373,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,1371,186]) ).

cnf(1375,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1349,1257]) ).

cnf(1376,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1367,188]) ).

cnf(1377,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1368,42]) ).

cnf(1378,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1375,42]) ).

cnf(1379,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1376,201]) ).

cnf(1380,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1379,covered_4_1]) ).

cnf(1383,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1377,covered_5_4]) ).

cnf(1384,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1378,600]) ).

cnf(1385,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1380,12]) ).

cnf(1386,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,1385,covered_3_2]) ).

cnf(1392,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1373,203]) ).

cnf(1394,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1384,covered_5_2]) ).

cnf(1395,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,1386,6]) ).

cnf(1396,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1395,184]) ).

cnf(1397,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1395,1343]) ).

cnf(1401,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1394,1257]) ).

cnf(1404,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,1401,covered_4_3]) ).

cnf(1406,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,1383,covered_3_4]) ).

cnf(1408,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,1404,597]) ).

cnf(1409,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,1408,covered_4_3]) ).

cnf(1411,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1392,188]) ).

cnf(1412,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1406,1287]) ).

cnf(1414,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,1409,597]) ).

cnf(1415,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1411,covered_4_1]) ).

cnf(1417,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,1412,1368]) ).

cnf(1421,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1414,covered_6_1]) ).

cnf(1423,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1417,covered_6_3]) ).

cnf(1429,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1415,12]) ).

cnf(1431,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1421,1328]) ).

cnf(1432,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1429,36]) ).

cnf(1437,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1423,1377]) ).

cnf(1438,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1432,42]) ).

cnf(1439,plain,
    ( horizontal_1_2
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1437,188]) ).

cnf(1440,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,1439,covered_3_4]) ).

cnf(1445,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1431,42]) ).

cnf(1446,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1438,203]) ).

cnf(1448,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1440,1287]) ).

cnf(1450,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1397,36]) ).

cnf(1459,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1445,600]) ).

cnf(1460,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1446,188]) ).

cnf(1461,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1450,42]) ).

cnf(1463,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1459,1421]) ).

cnf(1464,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1460,covered_4_1]) ).

cnf(1466,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,1463,covered_4_3]) ).

cnf(1469,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1461,1396]) ).

cnf(1473,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1464,12]) ).

cnf(1474,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,1466,597]) ).

cnf(1475,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,1473,208]) ).

cnf(1476,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,1474,886]) ).

cnf(1481,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1469,covered_5_2]) ).

cnf(1498,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1475,188]) ).

cnf(1499,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,1476,covered_4_5]) ).

cnf(1500,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1481,1448]) ).

cnf(1506,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1498,42]) ).

cnf(1507,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,1500,covered_4_3]) ).

cnf(1512,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,1499,862]) ).

cnf(1515,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1506,203]) ).

cnf(1516,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1507,1395]) ).

cnf(1519,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1512,covered_6_3]) ).

cnf(1520,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1516,covered_6_1]) ).

cnf(1522,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1515,188]) ).

cnf(1525,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1520,1469]) ).

cnf(1528,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1522,201]) ).

cnf(1531,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,1525,covered_3_4]) ).

cnf(1533,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1528,covered_4_1]) ).

cnf(1536,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1519,863]) ).

cnf(1541,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1531,1287]) ).

cnf(1542,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1533,12]) ).

cnf(1543,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1536,covered_5_2]) ).

cnf(1546,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,1541,covered_3_4]) ).

cnf(1548,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,1542,covered_3_2]) ).

cnf(1552,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1546,1287]) ).

cnf(1553,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,1548,6]) ).

cnf(1558,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,1552,1448]) ).

cnf(1560,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,1553,205]) ).

cnf(1565,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_2_2
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_5,1558,covered_2_5]) ).

cnf(1568,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,1565,1255]) ).

cnf(1569,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,1568,1395]) ).

cnf(1570,plain,
    ( horizontal_1_2
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1569,12]) ).

cnf(1571,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,1570,181]) ).

cnf(1572,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1543,1257]) ).

cnf(1574,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1572,1512]) ).

cnf(1578,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1574,covered_6_1]) ).

cnf(1580,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1571,42]) ).

cnf(1582,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_5,1571,covered_4_5]) ).

cnf(1584,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1578,1536]) ).

cnf(1585,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1584,36]) ).

cnf(1589,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1560,covered_4_1]) ).

cnf(1593,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1580,covered_5_4]) ).

cnf(1596,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1585,42]) ).

cnf(1598,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1589,12]) ).

cnf(1600,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1596,covered_5_4]) ).

cnf(1601,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,1598,208]) ).

cnf(1605,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,1593,covered_3_4]) ).

cnf(1615,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,1600,1474]) ).

cnf(1618,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,1615,1585]) ).

cnf(1619,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1618,covered_6_3]) ).

cnf(1623,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1601,188]) ).

cnf(1629,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1623,42]) ).

cnf(1634,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1605,1287]) ).

cnf(1635,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1619,1596]) ).

cnf(1637,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1629,203]) ).

cnf(1638,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,1634,1571]) ).

cnf(1639,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1635,covered_5_2]) ).

cnf(1641,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1638,covered_6_3]) ).

cnf(1644,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1637,188]) ).

cnf(1646,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1644,201]) ).

cnf(1649,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1646,covered_4_1]) ).

cnf(1651,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1641,1580]) ).

cnf(1652,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1649,12]) ).

cnf(1654,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1651,188]) ).

cnf(1655,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1651,covered_5_2]) ).

cnf(1656,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_2,1652,covered_3_2]) ).

cnf(1659,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1639,1257]) ).

cnf(1660,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,1656,6]) ).

cnf(1661,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1659,1618]) ).

cnf(1662,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,1660,covered_3_2]) ).

cnf(1663,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1661,covered_6_1]) ).

cnf(1669,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_2,1662,6]) ).

cnf(1670,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1663,1635]) ).

cnf(1672,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1669,184]) ).

cnf(1674,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,1670,1474]) ).

cnf(1676,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_1_3
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,1674,1257]) ).

cnf(1679,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1655,1654]) ).

cnf(1681,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1679,1638]) ).

cnf(1683,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1681,covered_6_1]) ).

cnf(1685,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1683,1651]) ).

cnf(1686,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,1685,186]) ).

cnf(1689,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_2_4
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1672,1580]) ).

cnf(1695,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1686,covered_5_4]) ).

cnf(1698,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1689,188]) ).

cnf(1700,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1689,covered_5_2]) ).

cnf(1707,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,1698,1593]) ).

cnf(1719,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,1695,covered_3_4]) ).

cnf(1730,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,1707,1571]) ).

cnf(1731,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1719,1287]) ).

cnf(1735,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1730,covered_6_3]) ).

cnf(1736,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,1731,covered_4_5]) ).

cnf(1741,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,1736,1685]) ).

cnf(1746,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1741,covered_6_3]) ).

cnf(1747,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,1741,covered_4_3]) ).

cnf(1751,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1735,1580]) ).

cnf(1758,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1751,188]) ).

cnf(1759,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,1758,194]) ).

cnf(1761,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1746,1686]) ).

cnf(1765,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1761,188]) ).

cnf(1771,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1747,1669]) ).

cnf(1774,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,1759,covered_6_3]) ).

cnf(1777,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1765,36]) ).

cnf(1785,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,1771,36]) ).

cnf(1786,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1777,42]) ).

cnf(1790,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1774,1580]) ).

cnf(1793,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,1785,42]) ).

cnf(1794,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1786,covered_5_4]) ).

cnf(1796,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1790,188]) ).

cnf(1801,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,1796,covered_4_1]) ).

cnf(1804,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,1793,covered_5_4]) ).

cnf(1806,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,1801,12]) ).

cnf(1811,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,1806,1700]) ).

cnf(1816,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,1794,covered_3_4]) ).

cnf(1823,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,1804,covered_3_4]) ).

cnf(1827,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1816,1287]) ).

cnf(1830,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,1827,1777]) ).

cnf(1835,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,1830,covered_6_3]) ).

cnf(1840,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,1811,covered_4_3]) ).

cnf(1841,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1823,1287]) ).

cnf(1843,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,1841,1785]) ).

cnf(1846,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,1843,covered_4_3]) ).

cnf(1851,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1835,1786]) ).

cnf(1852,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1840,1669]) ).

cnf(1853,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,1846,1669]) ).

cnf(1855,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1851,188]) ).

cnf(1856,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1852,covered_6_1]) ).

cnf(1857,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,1853,covered_3_4]) ).

cnf(1860,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,1855,covered_3_4]) ).

cnf(1864,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1856,1689]) ).

cnf(1865,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1857,1287]) ).

cnf(1867,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1860,1287]) ).

cnf(1870,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_3_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,1865,covered_3_4]) ).

cnf(1877,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,1870,1287]) ).

cnf(1880,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,1877,1867]) ).

cnf(1885,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,1880,1582]) ).

cnf(1901,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_4
    | vertical_2_6 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,1885,covered_3_6]) ).

cnf(1914,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,1901,1570]) ).

cnf(1917,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,1914,1864]) ).

cnf(1927,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_1
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,1917,1806]) ).

cnf(1930,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,1927,1880]) ).

cnf(1931,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,1930,1669]) ).

cnf(1932,plain,
    ( horizontal_1_2
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,1931,12]) ).

cnf(1933,plain,
    ( horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_2_4,1932,1287]) ).

cnf(1934,plain,
    ( horizontal_1_2
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_2_2,1933,6]) ).

cnf(1935,plain,
    horizontal_1_2,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_2,1934,6]) ).

cnf(1938,plain,
    ~ horizontal_1_3,
    inference('REWRITE',[status(thm)],[unique_cover2_1_3,1935]) ).

cnf(1939,plain,
    ( horizontal_1_4
    | vertical_1_4 ),
    inference('REWRITE',[status(thm)],[covered_1_4,1938]) ).

cnf(1940,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4 ),
    inference('REWRITE',[status(thm)],[206,1938]) ).

cnf(1943,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_6_2 ),
    inference('REWRITE',[status(thm)],[215,1938]) ).

cnf(1944,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('REWRITE',[status(thm)],[219,1938]) ).

cnf(1945,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    inference('REWRITE',[status(thm)],[221,1938]) ).

cnf(1946,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_2_1 ),
    inference('REWRITE',[status(thm)],[1676,1938]) ).

cnf(1953,plain,
    ~ vertical_1_3,
    inference('REWRITE',[status(thm)],[unique_cover4_1_3,1935]) ).

cnf(1954,plain,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2 ),
    inference('REWRITE',[status(thm)],[covered_2_3,1953]) ).

cnf(1955,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('REWRITE',[status(thm)],[195,1953]) ).

cnf(1956,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('REWRITE',[status(thm)],[1945,1953]) ).

cnf(1957,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,1955,covered_5_4]) ).

cnf(1960,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,1957,covered_3_4]) ).

cnf(1966,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,1960,1939]) ).

cnf(1970,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1966,188]) ).

cnf(1971,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,1966,covered_5_2]) ).

cnf(1973,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,1970,42]) ).

cnf(1979,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,1956,covered_3_4]) ).

cnf(1980,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_2,1971,covered_3_2]) ).

cnf(1981,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,1973,1955]) ).

cnf(1983,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,1979,1939]) ).

cnf(1984,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1981,188]) ).

cnf(1985,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,1983,1944]) ).

cnf(1986,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,1984,covered_4_3]) ).

cnf(1989,plain,
    ( horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,1986,1954]) ).

cnf(1990,plain,
    ( horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,1989,covered_3_4]) ).

cnf(1992,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,1985,1940]) ).

cnf(1993,plain,
    ( horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,1990,1939]) ).

cnf(1995,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,1992,covered_6_1]) ).

cnf(1997,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,1993,194]) ).

cnf(1999,plain,
    ( horizontal_3_5
    | horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,1995,1943]) ).

cnf(2001,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,1999,186]) ).

cnf(2003,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,1997,covered_6_3]) ).

cnf(2005,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2001,covered_5_4]) ).

cnf(2007,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,2003,covered_5_4]) ).

cnf(2011,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2005,covered_3_4]) ).

cnf(2014,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2007,covered_3_4]) ).

cnf(2018,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2011,1939]) ).

cnf(2019,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2014,1939]) ).

cnf(2020,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,2018,covered_4_5]) ).

cnf(2022,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2019,188]) ).

cnf(2023,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2022,42]) ).

cnf(2027,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,2020,1999]) ).

cnf(2028,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2023,2003]) ).

cnf(2031,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2027,covered_6_3]) ).

cnf(2032,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2027,covered_4_3]) ).

cnf(2033,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2028,188]) ).

cnf(2034,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2033,1997]) ).

cnf(2035,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2034,covered_4_1]) ).

cnf(2037,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2031,2001]) ).

cnf(2038,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2035,12]) ).

cnf(2040,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2037,covered_5_2]) ).

cnf(2041,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2038,1971]) ).

cnf(2042,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2032,1954]) ).

cnf(2043,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2042,36]) ).

cnf(2044,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2043,42]) ).

cnf(2047,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2044,covered_5_4]) ).

cnf(2056,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2041,42]) ).

cnf(2059,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2047,covered_3_4]) ).

cnf(2064,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2056,1955]) ).

cnf(2065,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2059,1939]) ).

cnf(2066,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2065,2043]) ).

cnf(2068,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2066,covered_4_3]) ).

cnf(2070,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2064,covered_5_2]) ).

cnf(2071,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2068,1954]) ).

cnf(2072,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,2071,covered_3_4]) ).

cnf(2074,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2070,2038]) ).

cnf(2075,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2072,1939]) ).

cnf(2076,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2074,covered_4_3]) ).

cnf(2079,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,2075,covered_3_4]) ).

cnf(2084,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2076,1954]) ).

cnf(2085,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2079,1939]) ).

cnf(2086,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2084,covered_4_3]) ).

cnf(2089,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2085,2040]) ).

cnf(2091,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2086,1954]) ).

cnf(2092,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2091,covered_6_1]) ).

cnf(2094,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2092,1966]) ).

cnf(2097,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2089,2027]) ).

cnf(2098,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2094,42]) ).

cnf(2102,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2097,covered_6_1]) ).

cnf(2106,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2098,1955]) ).

cnf(2107,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2102,2037]) ).

cnf(2108,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2107,36]) ).

cnf(2109,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2106,2092]) ).

cnf(2110,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2108,42]) ).

cnf(2111,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2109,covered_4_3]) ).

cnf(2115,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2110,covered_5_4]) ).

cnf(2116,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2111,1954]) ).

cnf(2118,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,2116,covered_3_4]) ).

cnf(2120,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2118,1939]) ).

cnf(2121,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,2120,2038]) ).

cnf(2123,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,2121,186]) ).

cnf(2128,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2115,covered_3_4]) ).

cnf(2133,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2123,covered_5_4]) ).

cnf(2134,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2123,1955]) ).

cnf(2135,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2128,1939]) ).

cnf(2136,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2135,2108]) ).

cnf(2138,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2136,covered_6_3]) ).

cnf(2141,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2138,2110]) ).

cnf(2142,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2141,covered_5_2]) ).

cnf(2144,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2134,188]) ).

cnf(2146,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2134,covered_5_2]) ).

cnf(2148,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2144,36]) ).

cnf(2151,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2142,2085]) ).

cnf(2152,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2148,42]) ).

cnf(2153,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2151,2136]) ).

cnf(2154,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2153,covered_6_1]) ).

cnf(2157,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2152,1955]) ).

cnf(2159,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2154,2141]) ).

cnf(2161,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,2159,covered_3_4]) ).

cnf(2163,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2157,188]) ).

cnf(2164,plain,
    ( horizontal_1_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2161,1939]) ).

cnf(2166,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,2163,1957]) ).

cnf(2167,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,2164,192]) ).

cnf(2171,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2166,188]) ).

cnf(2172,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_4
    | vertical_2_6 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,2167,covered_3_6]) ).

cnf(2176,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2171,42]) ).

cnf(2180,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_6,2172,covered_1_6]) ).

cnf(2181,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2176,1955]) ).

cnf(2183,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,2180,197]) ).

cnf(2185,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2181,188]) ).

cnf(2186,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2185,covered_4_3]) ).

cnf(2190,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2183,187]) ).

cnf(2192,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2186,1954]) ).

cnf(2193,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2190,covered_6_3]) ).

cnf(2194,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2190,covered_4_3]) ).

cnf(2196,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,2192,2133]) ).

cnf(2199,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2193,190]) ).

cnf(2201,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2199,covered_5_2]) ).

cnf(2203,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2194,1954]) ).

cnf(2204,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,2203,2180]) ).

cnf(2206,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,2196,covered_4_5]) ).

cnf(2209,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2201,2204]) ).

cnf(2210,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,2206,2121]) ).

cnf(2211,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2209,2190]) ).

cnf(2212,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2210,covered_6_3]) ).

cnf(2213,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2211,covered_6_1]) ).

cnf(2216,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2213,2199]) ).

cnf(2218,plain,
    ( horizontal_1_5
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,2216,2164]) ).

cnf(2219,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_3,2218,1954]) ).

cnf(2220,plain,
    ( horizontal_1_5
    | horizontal_1_4
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_4,2219,1939]) ).

cnf(2222,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2212,2123]) ).

cnf(2224,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2222,188]) ).

cnf(2226,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2224,36]) ).

cnf(2229,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2226,42]) ).

cnf(2232,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2229,covered_5_4]) ).

cnf(2236,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,2232,2192]) ).

cnf(2238,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2236,2226]) ).

cnf(2241,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2238,covered_6_3]) ).

cnf(2242,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2241,2229]) ).

cnf(2243,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2242,188]) ).

cnf(2244,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,2243,2192]) ).

cnf(2245,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2244,194]) ).

cnf(2247,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,2245,covered_6_3]) ).

cnf(2250,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2247,2123]) ).

cnf(2251,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,2247,covered_5_4]) ).

cnf(2257,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2250,188]) ).

cnf(2258,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2257,covered_4_1]) ).

cnf(2259,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2258,12]) ).

cnf(2260,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2259,36]) ).

cnf(2262,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2260,42]) ).

cnf(2263,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2262,2247]) ).

cnf(2266,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2263,188]) ).

cnf(2267,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2266,covered_4_1]) ).

cnf(2269,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2267,12]) ).

cnf(2271,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,2269,2251]) ).

cnf(2277,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2271,188]) ).

cnf(2280,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2277,42]) ).

cnf(2281,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2280,2247]) ).

cnf(2283,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2281,188]) ).

cnf(2284,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2283,2245]) ).

cnf(2285,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2284,covered_4_1]) ).

cnf(2287,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2285,12]) ).

cnf(2289,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2287,2146]) ).

cnf(2297,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2289,covered_4_3]) ).

cnf(2298,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2297,1954]) ).

cnf(2299,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2298,covered_6_1]) ).

cnf(2301,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2299,2134]) ).

cnf(2303,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2301,36]) ).

cnf(2306,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2303,42]) ).

cnf(2309,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2306,1955]) ).

cnf(2313,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2309,covered_5_2]) ).

cnf(2321,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2313,2287]) ).

cnf(2323,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2321,covered_4_3]) ).

cnf(2324,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2323,1954]) ).

cnf(2325,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2324,covered_6_1]) ).

cnf(2327,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2325,2309]) ).

cnf(2328,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,2327,1957]) ).

cnf(2334,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2328,covered_5_2]) ).

cnf(2338,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2334,2287]) ).

cnf(2339,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2338,42]) ).

cnf(2341,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2339,1955]) ).

cnf(2344,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2341,covered_5_2]) ).

cnf(2346,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2344,2287]) ).

cnf(2347,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2346,covered_4_3]) ).

cnf(2350,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2347,1954]) ).

cnf(2352,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2350,covered_4_3]) ).

cnf(2354,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2352,1954]) ).

cnf(2355,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2354,covered_6_1]) ).

cnf(2356,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2355,2328]) ).

cnf(2360,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2356,42]) ).

cnf(2363,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2360,1955]) ).

cnf(2365,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2363,2355]) ).

cnf(2367,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2365,covered_4_3]) ).

cnf(2369,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2367,1954]) ).

cnf(2370,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,2369,2133]) ).

cnf(2374,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,2370,covered_4_5]) ).

cnf(2377,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,2374,2121]) ).

cnf(2378,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2377,covered_6_3]) ).

cnf(2380,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2378,2123]) ).

cnf(2382,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2380,covered_5_2]) ).

cnf(2388,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2382,2287]) ).

cnf(2389,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2388,2377]) ).

cnf(2390,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2389,covered_6_1]) ).

cnf(2391,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2390,2380]) ).

cnf(2392,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2391,36]) ).

cnf(2394,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2392,42]) ).

cnf(2396,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2394,covered_5_4]) ).

cnf(2403,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,2396,2369]) ).

cnf(2404,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2403,2392]) ).

cnf(2405,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2404,covered_6_3]) ).

cnf(2407,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2405,2394]) ).

cnf(2409,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2407,covered_5_2]) ).

cnf(2414,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2409,2287]) ).

cnf(2415,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2414,2404]) ).

cnf(2416,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2415,covered_6_1]) ).

cnf(2419,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2416,2407]) ).

cnf(2420,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,2419,2369]) ).

cnf(2421,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_1_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,2420,2287]) ).

cnf(2422,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_1_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_3,2421,1954]) ).

cnf(2423,plain,
    ( horizontal_2_2
    | horizontal_1_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_4,2422,1939]) ).

cnf(2424,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_2,2423,199]) ).

cnf(2429,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,2424,covered_6_3]) ).

cnf(2431,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2424,covered_4_3]) ).

cnf(2436,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,2429,covered_5_4]) ).

cnf(2442,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2436,covered_3_4]) ).

cnf(2444,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2442,1939]) ).

cnf(2446,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2444,188]) ).

cnf(2447,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2446,42]) ).

cnf(2451,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2447,2429]) ).

cnf(2456,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2451,188]) ).

cnf(2457,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2456,2424]) ).

cnf(2458,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2457,covered_4_1]) ).

cnf(2461,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2458,12]) ).

cnf(2463,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,2461,covered_3_2]) ).

cnf(2465,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_2,2463,2423]) ).

cnf(2468,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,2465,186]) ).

cnf(2473,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2468,2429]) ).

cnf(2480,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2473,188]) ).

cnf(2482,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2480,covered_4_1]) ).

cnf(2485,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2482,12]) ).

cnf(2486,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2485,36]) ).

cnf(2488,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2486,42]) ).

cnf(2489,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2488,2429]) ).

cnf(2492,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2489,188]) ).

cnf(2494,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2492,covered_4_1]) ).

cnf(2500,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2494,12]) ).

cnf(2501,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,2500,2436]) ).

cnf(2504,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2501,188]) ).

cnf(2506,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2504,42]) ).

cnf(2509,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2506,2429]) ).

cnf(2512,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2509,188]) ).

cnf(2514,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2512,2424]) ).

cnf(2519,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2514,covered_4_1]) ).

cnf(2521,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2519,12]) ).

cnf(2522,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,2521,covered_3_2]) ).

cnf(2523,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_2,2522,2423]) ).

cnf(2525,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,2523,2431]) ).

cnf(2537,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2525,covered_4_1]) ).

cnf(2543,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2537,12]) ).

cnf(2544,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,2543,2436]) ).

cnf(2549,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2544,188]) ).

cnf(2551,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2549,42]) ).

cnf(2555,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2551,2429]) ).

cnf(2560,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2555,188]) ).

cnf(2561,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2560,2424]) ).

cnf(2563,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2561,covered_4_1]) ).

cnf(2564,plain,
    ( horizontal_1_5
    | horizontal_1_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_2_2,1946,2220]) ).

cnf(2565,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2563,12]) ).

cnf(2566,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4
    | horizontal_2_5
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,2564,189]) ).

cnf(2567,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_2,2565,covered_3_2]) ).

cnf(2568,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_2,2567,2423]) ).

cnf(2569,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_2,2568,covered_3_2]) ).

cnf(2575,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_2,2569,2423]) ).

cnf(2576,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2575,184]) ).

cnf(2582,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2566,covered_5_4]) ).

cnf(2584,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,2576,covered_5_4]) ).

cnf(2590,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2582,covered_3_4]) ).

cnf(2594,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2584,covered_3_4]) ).

cnf(2601,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2590,1939]) ).

cnf(2605,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,2601,covered_4_5]) ).

cnf(2607,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2594,1939]) ).

cnf(2610,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_5,2605,covered_2_5]) ).

cnf(2611,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2607,188]) ).

cnf(2613,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2607,covered_5_2]) ).

cnf(2619,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,2610,2564]) ).

cnf(2620,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2611,42]) ).

cnf(2626,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2619,covered_6_3]) ).

cnf(2627,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2619,covered_4_3]) ).

cnf(2630,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2620,2576]) ).

cnf(2634,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2626,2566]) ).

cnf(2635,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2630,188]) ).

cnf(2636,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2634,188]) ).

cnf(2637,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2634,covered_5_2]) ).

cnf(2638,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2635,covered_4_3]) ).

cnf(2641,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2627,1954]) ).

cnf(2642,plain,
    ( horizontal_1_4
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2627,2575]) ).

cnf(2643,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2638,2575]) ).

cnf(2644,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,2643,covered_3_4]) ).

cnf(2647,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2636,36]) ).

cnf(2650,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2644,1939]) ).

cnf(2652,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2650,194]) ).

cnf(2654,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2641,36]) ).

cnf(2657,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2642,36]) ).

cnf(2661,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2647,42]) ).

cnf(2664,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,2652,covered_6_3]) ).

cnf(2665,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2654,42]) ).

cnf(2666,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2657,42]) ).

cnf(2667,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2661,covered_5_4]) ).

cnf(2674,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2665,covered_5_4]) ).

cnf(2676,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2666,covered_5_4]) ).

cnf(2679,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_4,2664,covered_5_4]) ).

cnf(2687,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2667,covered_3_4]) ).

cnf(2688,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2674,covered_3_4]) ).

cnf(2689,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2676,covered_3_4]) ).

cnf(2691,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2687,1939]) ).

cnf(2693,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2691,2647]) ).

cnf(2696,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2693,covered_6_3]) ).

cnf(2699,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2679,covered_3_4]) ).

cnf(2701,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2688,1939]) ).

cnf(2702,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2689,1939]) ).

cnf(2703,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2701,2654]) ).

cnf(2704,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2702,2657]) ).

cnf(2706,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2703,covered_4_3]) ).

cnf(2708,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2704,covered_4_3]) ).

cnf(2710,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2696,2661]) ).

cnf(2712,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2699,1939]) ).

cnf(2713,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2706,1954]) ).

cnf(2714,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2708,2575]) ).

cnf(2715,plain,
    ( horizontal_1_4
    | horizontal_4_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2710,188]) ).

cnf(2716,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2712,188]) ).

cnf(2717,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,2713,covered_3_4]) ).

cnf(2719,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,2714,covered_3_4]) ).

cnf(2721,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,2715,covered_3_4]) ).

cnf(2723,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2716,42]) ).

cnf(2728,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2717,1939]) ).

cnf(2729,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2719,1939]) ).

cnf(2730,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2721,1939]) ).

cnf(2731,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2723,2664]) ).

cnf(2734,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,2728,covered_3_4]) ).

cnf(2735,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,2729,covered_3_4]) ).

cnf(2738,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2731,188]) ).

cnf(2739,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2734,1939]) ).

cnf(2740,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2735,1939]) ).

cnf(2742,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2738,2652]) ).

cnf(2744,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2739,2637]) ).

cnf(2745,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,2740,2730]) ).

cnf(2747,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2742,covered_4_1]) ).

cnf(2748,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_3_1
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_5,2745,covered_2_5]) ).

cnf(2753,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2747,12]) ).

cnf(2754,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,2748,2564]) ).

cnf(2756,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2753,2613]) ).

cnf(2757,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,2754,2575]) ).

cnf(2758,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,2757,12]) ).

cnf(2759,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,2758,181]) ).

cnf(2763,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2759,42]) ).

cnf(2765,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_5,2759,covered_4_5]) ).

cnf(2766,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2744,2619]) ).

cnf(2767,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2763,covered_5_4]) ).

cnf(2768,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2763,2576]) ).

cnf(2769,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2766,covered_6_1]) ).

cnf(2771,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2769,2634]) ).

cnf(2772,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,2771,36]) ).

cnf(2778,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2772,42]) ).

cnf(2779,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2756,42]) ).

cnf(2785,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2778,covered_5_4]) ).

cnf(2786,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2768,188]) ).

cnf(2788,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2768,covered_5_2]) ).

cnf(2789,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2779,2576]) ).

cnf(2791,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,2786,2767]) ).

cnf(2793,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2789,covered_5_2]) ).

cnf(2797,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2785,covered_3_4]) ).

cnf(2798,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2793,2753]) ).

cnf(2801,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2798,covered_4_3]) ).

cnf(2809,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2791,2759]) ).

cnf(2810,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2797,1939]) ).

cnf(2811,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2801,2575]) ).

cnf(2812,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2809,covered_6_3]) ).

cnf(2813,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2810,2772]) ).

cnf(2814,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2811,covered_4_3]) ).

cnf(2818,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2813,covered_6_3]) ).

cnf(2820,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2814,2575]) ).

cnf(2823,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2820,covered_6_1]) ).

cnf(2826,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2812,2763]) ).

cnf(2827,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2818,2778]) ).

cnf(2828,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2823,2607]) ).

cnf(2830,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2826,188]) ).

cnf(2831,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2827,covered_5_2]) ).

cnf(2832,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2830,194]) ).

cnf(2836,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2828,42]) ).

cnf(2839,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,2832,covered_6_3]) ).

cnf(2848,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2831,2739]) ).

cnf(2849,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2836,2576]) ).

cnf(2852,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2848,2813]) ).

cnf(2855,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2852,covered_6_1]) ).

cnf(2857,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2839,2763]) ).

cnf(2858,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2849,2823]) ).

cnf(2859,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2855,2827]) ).

cnf(2860,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2857,188]) ).

cnf(2861,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2858,covered_4_3]) ).

cnf(2864,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,2859,covered_3_4]) ).

cnf(2866,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,2860,covered_4_1]) ).

cnf(2867,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2861,2575]) ).

cnf(2868,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2864,1939]) ).

cnf(2869,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_1,2866,12]) ).

cnf(2870,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,2867,covered_3_4]) ).

cnf(2871,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2
    | vertical_1_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_5,2868,covered_2_5]) ).

cnf(2873,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,2869,2788]) ).

cnf(2876,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2870,1939]) ).

cnf(2877,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_1_5,2871,2564]) ).

cnf(2878,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,2876,2753]) ).

cnf(2879,plain,
    ( horizontal_1_4
    | horizontal_2_5
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_3,2877,1954]) ).

cnf(2881,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,2878,2765]) ).

cnf(2883,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,2879,181]) ).

cnf(2885,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,2883,42]) ).

cnf(2887,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_5,2883,covered_4_5]) ).

cnf(2890,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2873,covered_4_3]) ).

cnf(2895,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2885,covered_5_4]) ).

cnf(2896,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2885,1955]) ).

cnf(2897,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_4
    | vertical_2_6 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,2881,covered_3_6]) ).

cnf(2901,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_3,2890,2575]) ).

cnf(2904,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2901,covered_6_1]) ).

cnf(2908,plain,
    ( horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,2897,2758]) ).

cnf(2909,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2904,2768]) ).

cnf(2913,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,2909,2908]) ).

cnf(2921,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2895,covered_3_4]) ).

cnf(2923,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2896,covered_5_2]) ).

cnf(2925,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_3_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,2913,2869]) ).

cnf(2926,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,2925,2878]) ).

cnf(2927,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_3,2926,2575]) ).

cnf(2928,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_1,2927,12]) ).

cnf(2929,plain,
    ( horizontal_1_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_2_4,2928,1939]) ).

cnf(2931,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_2,2929,1980]) ).

cnf(2932,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2921,1939]) ).

cnf(2933,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_2,2923,covered_3_2]) ).

cnf(2935,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2932,2883]) ).

cnf(2937,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2935,covered_6_3]) ).

cnf(2939,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,2935,covered_4_3]) ).

cnf(2941,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2937,2885]) ).

cnf(2943,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2941,covered_5_2]) ).

cnf(2947,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_2,2933,2929]) ).

cnf(2948,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2939,1954]) ).

cnf(2949,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,2948,covered_3_4]) ).

cnf(2951,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,2949,1939]) ).

cnf(2953,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,2943,2951]) ).

cnf(2956,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,2953,2935]) ).

cnf(2957,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2956,covered_6_1]) ).

cnf(2960,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,2947,covered_4_3]) ).

cnf(2963,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2957,2941]) ).

cnf(2967,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,2963,186]) ).

cnf(2969,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,2960,1954]) ).

cnf(2972,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,2969,covered_6_1]) ).

cnf(2978,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,2931,42]) ).

cnf(2982,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,2972,2896]) ).

cnf(2985,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,2982,2895]) ).

cnf(2987,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,2967,covered_5_4]) ).

cnf(2989,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2978,1955]) ).

cnf(2992,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,2985,2883]) ).

cnf(2994,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,2989,covered_5_2]) ).

cnf(2997,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,2992,covered_6_3]) ).

cnf(2999,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_2,2994,covered_3_2]) ).

cnf(3000,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,2987,covered_3_4]) ).

cnf(3005,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,2997,2885]) ).

cnf(3006,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_2,2999,2929]) ).

cnf(3008,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3005,covered_5_2]) ).

cnf(3009,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3006,covered_4_3]) ).

cnf(3012,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,3000,1939]) ).

cnf(3015,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3009,1954]) ).

cnf(3016,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,3012,covered_4_5]) ).

cnf(3020,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,3015,covered_4_3]) ).

cnf(3026,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,3016,2963]) ).

cnf(3027,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_1
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3020,1954]) ).

cnf(3029,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3026,covered_6_3]) ).

cnf(3030,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3026,covered_4_3]) ).

cnf(3031,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3027,covered_6_1]) ).

cnf(3034,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_2
    | horizontal_5_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_2,3008,covered_3_2]) ).

cnf(3036,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3031,1966]) ).

cnf(3039,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3029,2967]) ).

cnf(3040,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_2,3034,2929]) ).

cnf(3042,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3040,2992]) ).

cnf(3043,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3042,covered_6_1]) ).

cnf(3047,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3030,1954]) ).

cnf(3048,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_5,3036,42]) ).

cnf(3051,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3043,3005]) ).

cnf(3053,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,3047,36]) ).

cnf(3054,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_2,3051,covered_3_2]) ).

cnf(3056,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3048,1955]) ).

cnf(3058,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,3053,42]) ).

cnf(3060,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_2,3054,2929]) ).

cnf(3064,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3056,3031]) ).

cnf(3067,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,3058,covered_5_4]) ).

cnf(3069,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3064,covered_4_3]) ).

cnf(3080,plain,
    ( horizontal_1_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3069,1954]) ).

cnf(3083,plain,
    ( horizontal_1_4
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,3080,covered_3_4]) ).

cnf(3090,plain,
    ( horizontal_1_4
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,3083,1939]) ).

cnf(3092,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_2,3090,covered_3_2]) ).

cnf(3096,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,3067,covered_3_4]) ).

cnf(3097,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_2,3092,2929]) ).

cnf(3099,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,3097,3060]) ).

cnf(3104,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,3096,1939]) ).

cnf(3105,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_2
    | horizontal_3_1
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_3,3099,1954]) ).

cnf(3106,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3104,3053]) ).

cnf(3107,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_3,3105,1954]) ).

cnf(3109,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3106,covered_4_3]) ).

cnf(3110,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_1,3107,182]) ).

cnf(3111,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3109,1954]) ).

cnf(3112,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,3111,covered_3_4]) ).

cnf(3117,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_6_2,3110,covered_5_2]) ).

cnf(3118,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3110,2896]) ).

cnf(3119,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3110,3039]) ).

cnf(3121,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,3112,1939]) ).

cnf(3122,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,3121,covered_3_4]) ).

cnf(3131,plain,
    ( horizontal_1_4
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,3122,1939]) ).

cnf(3137,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3117,3131]) ).

cnf(3138,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_4,3118,2895]) ).

cnf(3143,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,3119,36]) ).

cnf(3147,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,3137,covered_6_3]) ).

cnf(3148,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3138,2883]) ).

cnf(3149,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,3143,42]) ).

cnf(3153,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3148,covered_6_3]) ).

cnf(3161,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3147,3149]) ).

cnf(3163,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3153,2885]) ).

cnf(3167,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3163,3110]) ).

cnf(3172,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3167,3117]) ).

cnf(3173,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3161,3110]) ).

cnf(3177,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,3173,covered_4_1]) ).

cnf(3185,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_5_3,3172,covered_6_3]) ).

cnf(3186,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_1,3177,3107]) ).

cnf(3190,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,3186,covered_3_4]) ).

cnf(3198,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_2_4,3190,1939]) ).

cnf(3202,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,3198,3131]) ).

cnf(3203,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,3202,2887]) ).

cnf(3206,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3185,2885]) ).

cnf(3212,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3206,3110]) ).

cnf(3214,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5
    | vertical_3_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_1,3212,covered_4_1]) ).

cnf(3219,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_1,3214,3107]) ).

cnf(3220,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,3219,2923]) ).

cnf(3221,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | vertical_2_6 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,3203,covered_3_6]) ).

cnf(3229,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_6,3221,2879]) ).

cnf(3233,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_3,3220,covered_4_3]) ).

cnf(3248,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3233,1954]) ).

cnf(3253,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3248,covered_6_1]) ).

cnf(3263,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3253,2896]) ).

cnf(3267,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,3263,3229]) ).

cnf(3276,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_2,3267,3219]) ).

cnf(3277,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,3276,3202]) ).

cnf(3278,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_3,3277,1954]) ).

cnf(3279,plain,
    ( horizontal_1_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_2_4,3278,1939]) ).

cnf(3280,plain,
    ( horizontal_1_4
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_2_4,3279,1939]) ).

cnf(3281,plain,
    horizontal_1_4,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_2_2,3280,2929]) ).

cnf(3285,plain,
    ~ horizontal_1_5,
    inference('REWRITE',[status(thm)],[unique_cover2_1_5,3281]) ).

cnf(3286,plain,
    vertical_1_6,
    inference('REWRITE',[status(thm)],[covered_1_6,3285]) ).

cnf(3287,plain,
    ~ vertical_2_6,
    inference('REWRITE',[status(thm)],[unique_cover5_2_6,3286]) ).

cnf(3288,plain,
    ( vertical_3_6
    | horizontal_3_5 ),
    inference('REWRITE',[status(thm)],[covered_3_6,3287]) ).

cnf(3289,plain,
    ( horizontal_3_5
    | horizontal_5_5 ),
    inference('REWRITE',[status(thm)],[181,3287]) ).

cnf(3290,plain,
    ~ horizontal_2_5,
    inference('REWRITE',[status(thm)],[unique_cover6_2_6,3286]) ).

cnf(3291,plain,
    ( vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    inference('REWRITE',[status(thm)],[covered_2_5,3290]) ).

cnf(3293,plain,
    ( horizontal_3_5
    | horizontal_6_4 ),
    inference('REWRITE',[status(thm)],[190,3285]) ).

cnf(3294,plain,
    ( horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference('REWRITE',[status(thm)],[192,3285]) ).

cnf(3295,plain,
    ( horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('REWRITE',[status(thm)],[197,3285]) ).

cnf(3296,plain,
    ( horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_4
    | vertical_1_5 ),
    inference('REWRITE',[status(thm)],[198,3290,3285]) ).

cnf(3297,plain,
    ( horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('REWRITE',[status(thm)],[200,3285]) ).

cnf(3323,plain,
    ~ vertical_1_5,
    inference('REWRITE',[status(thm)],[unique_cover4_1_5,3281]) ).

cnf(3324,plain,
    ( vertical_2_5
    | horizontal_2_4 ),
    inference('REWRITE',[status(thm)],[3291,3323]) ).

cnf(3326,plain,
    ( horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_2_4 ),
    inference('REWRITE',[status(thm)],[3296,3323]) ).

cnf(3333,plain,
    ( horizontal_3_5
    | horizontal_4_4
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,3326,3288]) ).

cnf(3334,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,3333,3295]) ).

cnf(3335,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,3333,covered_3_4]) ).

cnf(3337,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3334,3289]) ).

cnf(3338,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3337,covered_6_3]) ).

cnf(3339,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3337,covered_4_3]) ).

cnf(3342,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3338,3293]) ).

cnf(3343,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3342,188]) ).

cnf(3344,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3342,covered_5_2]) ).

cnf(3345,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3339,1954]) ).

cnf(3348,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_5_2
    | horizontal_5_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,3344,3343]) ).

cnf(3350,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,3345,3333]) ).

cnf(3351,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3350,3344]) ).

cnf(3353,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_5_1
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3348,3337]) ).

cnf(3354,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_2_1
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3353,covered_6_1]) ).

cnf(3355,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3351,3337]) ).

cnf(3356,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3354,3342]) ).

cnf(3357,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3355,covered_6_1]) ).

cnf(3359,plain,
    ( horizontal_2_4
    | horizontal_2_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_5,3356,3324]) ).

cnf(3360,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3359,3297]) ).

cnf(3361,plain,
    ( horizontal_3_5
    | horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3357,3342]) ).

cnf(3362,plain,
    ( horizontal_2_4
    | horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_5,3361,3324]) ).

cnf(3363,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3362,3297]) ).

cnf(3365,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3360,3289]) ).

cnf(3366,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3365,covered_6_3]) ).

cnf(3369,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3363,3289]) ).

cnf(3370,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3369,covered_6_3]) ).

cnf(3372,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3369,covered_4_3]) ).

cnf(3373,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3366,3293]) ).

cnf(3374,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3373,188]) ).

cnf(3375,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3373,covered_5_2]) ).

cnf(3378,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3370,3293]) ).

cnf(3380,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3378,covered_5_2]) ).

cnf(3381,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3372,1954]) ).

cnf(3382,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,3381,covered_3_4]) ).

cnf(3383,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,3375,3374]) ).

cnf(3384,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3382,3362]) ).

cnf(3385,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3383,3365]) ).

cnf(3387,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3385,covered_6_1]) ).

cnf(3389,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3380,3384]) ).

cnf(3390,plain,
    ( horizontal_2_1
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3387,3373]) ).

cnf(3391,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,3390,186]) ).

cnf(3392,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3389,3369]) ).

cnf(3393,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3392,covered_6_1]) ).

cnf(3395,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3393,3378]) ).

cnf(3396,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,3395,186]) ).

cnf(3398,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,3391,covered_5_4]) ).

cnf(3400,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,3396,covered_5_4]) ).

cnf(3402,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,3398,covered_3_4]) ).

cnf(3403,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3402,3359]) ).

cnf(3404,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,3403,covered_4_5]) ).

cnf(3406,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,3400,covered_3_4]) ).

cnf(3409,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,3404,3390]) ).

cnf(3411,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3409,covered_6_3]) ).

cnf(3413,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3406,3362]) ).

cnf(3414,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3
    | vertical_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_5_5,3413,covered_4_5]) ).

cnf(3416,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3411,3391]) ).

cnf(3417,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_5,3414,3395]) ).

cnf(3418,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3416,188]) ).

cnf(3419,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3416,covered_5_2]) ).

cnf(3421,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3417,covered_6_3]) ).

cnf(3422,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3417,covered_4_3]) ).

cnf(3424,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,3418,36]) ).

cnf(3425,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3421,3396]) ).

cnf(3426,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,3424,42]) ).

cnf(3427,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3425,covered_5_2]) ).

cnf(3429,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3422,1954]) ).

cnf(3430,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,3426,covered_5_4]) ).

cnf(3431,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,3429,36]) ).

cnf(3432,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,3431,42]) ).

cnf(3435,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,3432,covered_5_4]) ).

cnf(3436,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,3430,covered_3_4]) ).

cnf(3439,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3436,3359]) ).

cnf(3440,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3439,3424]) ).

cnf(3442,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3440,covered_6_3]) ).

cnf(3444,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,3435,covered_3_4]) ).

cnf(3446,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3442,3426]) ).

cnf(3447,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3444,3362]) ).

cnf(3448,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3446,188]) ).

cnf(3449,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3447,3431]) ).

cnf(3450,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,3448,covered_3_4]) ).

cnf(3452,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3449,covered_4_3]) ).

cnf(3453,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3450,3359]) ).

cnf(3454,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3452,1954]) ).

cnf(3456,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,3453,3419]) ).

cnf(3457,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,3454,covered_3_4]) ).

cnf(3458,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3457,3362]) ).

cnf(3459,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_4,3458,covered_3_4]) ).

cnf(3460,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3459,3362]) ).

cnf(3462,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3460,3427]) ).

cnf(3463,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3456,3409]) ).

cnf(3464,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3463,covered_6_1]) ).

cnf(3465,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3464,3416]) ).

cnf(3466,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,3465,36]) ).

cnf(3467,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3462,3417]) ).

cnf(3468,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,3466,42]) ).

cnf(3469,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3467,covered_6_1]) ).

cnf(3471,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,3468,covered_5_4]) ).

cnf(3472,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3469,3425]) ).

cnf(3473,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_6,3472,36]) ).

cnf(3474,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_5,3473,42]) ).

cnf(3475,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_4,3474,covered_5_4]) ).

cnf(3476,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,3471,covered_3_4]) ).

cnf(3477,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3476,3359]) ).

cnf(3478,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3477,3466]) ).

cnf(3480,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3478,covered_6_3]) ).

cnf(3482,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_4_4,3475,covered_3_4]) ).

cnf(3483,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3480,3468]) ).

cnf(3484,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3482,3362]) ).

cnf(3485,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3483,covered_5_2]) ).

cnf(3486,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3484,3473]) ).

cnf(3488,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3486,covered_6_3]) ).

cnf(3489,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3488,3474]) ).

cnf(3490,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3489,covered_5_2]) ).

cnf(3491,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,3485,3453]) ).

cnf(3492,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3491,3478]) ).

cnf(3493,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3492,covered_6_1]) ).

cnf(3494,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3493,3483]) ).

cnf(3495,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,3494,covered_3_4]) ).

cnf(3496,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3490,3460]) ).

cnf(3497,plain,
    ( horizontal_2_1
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3495,3359]) ).

cnf(3498,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3496,3486]) ).

cnf(3499,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,3497,3294]) ).

cnf(3502,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3498,covered_6_1]) ).

cnf(3504,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3502,3489]) ).

cnf(3505,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_4_4,3504,covered_3_4]) ).

cnf(3506,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_2_4,3505,3362]) ).

cnf(3507,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_3_5,3506,3294]) ).

cnf(3510,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,3499,3288]) ).

cnf(3513,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,3510,3295]) ).

cnf(3516,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_4_6,3507,3288]) ).

cnf(3520,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3513,3289]) ).

cnf(3521,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_4
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_4,3516,3295]) ).

cnf(3522,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3520,covered_6_3]) ).

cnf(3526,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_5,3521,3289]) ).

cnf(3527,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3522,3293]) ).

cnf(3528,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_3
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_3,3526,covered_6_3]) ).

cnf(3529,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_5_3,3526,covered_4_3]) ).

cnf(3530,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3527,188]) ).

cnf(3531,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3527,covered_5_2]) ).

cnf(3535,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_4,3528,3293]) ).

cnf(3536,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_6_2,3535,covered_5_2]) ).

cnf(3537,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover5_3_3,3529,1954]) ).

cnf(3538,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_4_2,3531,3530]) ).

cnf(3539,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,3537,3516]) ).

cnf(3540,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3538,3520]) ).

cnf(3542,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3540,covered_6_1]) ).

cnf(3544,plain,
    ( horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3542,3527]) ).

cnf(3545,plain,
    ( horizontal_2_1
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,3544,3497]) ).

cnf(3548,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3536,3539]) ).

cnf(3549,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3548,3526]) ).

cnf(3550,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3549,covered_6_1]) ).

cnf(3552,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3550,3535]) ).

cnf(3553,plain,
    ( horizontal_2_3
    | horizontal_2_2
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_3_5,3552,3506]) ).

cnf(3554,plain,
    ( horizontal_2_3
    | horizontal_2_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_3,3553,1954]) ).

cnf(3556,plain,
    ( horizontal_2_2
    | horizontal_3_5
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover4_2_4,3554,3335]) ).

cnf(3568,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_5,3556,3324]) ).

cnf(3570,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover6_3_5,3568,3324]) ).

cnf(3571,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_3
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_3_3,3570,3339]) ).

cnf(3585,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_4_4,3571,3333]) ).

cnf(3587,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_2
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_4_2,3585,3344]) ).

cnf(3603,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_5_3,3587,3337]) ).

cnf(3608,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover1_5_1,3603,covered_6_1]) ).

cnf(3617,plain,
    ( horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_6_2,3608,3342]) ).

cnf(3620,plain,
    ( horizontal_2_2
    | horizontal_2_4 ),
    inference('HYPERRESOLVE',[status(thm)],[unique_cover3_3_5,3617,3324]) ).

cnf(3622,plain,
    horizontal_2_2,
    inference('HYPERRESOLVE',[status(thm)],[unique_cover2_2_4,3620,3554]) ).

cnf(3623,plain,
    ~ vertical_2_2,
    inference('REWRITE',[status(thm)],[unique_cover1_2_2,3622]) ).

cnf(3624,plain,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1 ),
    inference('REWRITE',[status(thm)],[covered_3_2,3623]) ).

cnf(3627,plain,
    ~ horizontal_2_1,
    inference('REWRITE',[status(thm)],[unique_cover2_2_2,3622]) ).

cnf(3628,plain,
    vertical_2_1,
    inference('REWRITE',[status(thm)],[12,3627]) ).

cnf(3629,plain,
    ~ horizontal_3_1,
    inference('REWRITE',[status(thm)],[unique_cover3_3_1,3628]) ).

cnf(3630,plain,
    ( horizontal_3_2
    | vertical_3_2 ),
    inference('REWRITE',[status(thm)],[3624,3629]) ).

cnf(3632,plain,
    ~ vertical_3_1,
    inference('REWRITE',[status(thm)],[unique_cover5_3_1,3628]) ).

cnf(3633,plain,
    ( horizontal_4_1
    | vertical_4_1 ),
    inference('REWRITE',[status(thm)],[covered_4_1,3632]) ).

cnf(3634,plain,
    ( horizontal_4_1
    | horizontal_6_1 ),
    inference('REWRITE',[status(thm)],[188,3627]) ).

cnf(3643,plain,
    horizontal_3_3,
    inference('REWRITE',[status(thm)],[3545,3627]) ).

cnf(3647,plain,
    ~ horizontal_3_2,
    inference('REWRITE',[status(thm)],[unique_cover2_3_3,3643]) ).

cnf(3648,plain,
    vertical_3_2,
    inference('REWRITE',[status(thm)],[3630,3647]) ).

cnf(3652,plain,
    ~ vertical_4_2,
    inference('REWRITE',[status(thm)],[unique_cover5_4_2,3648]) ).

cnf(3653,plain,
    ( horizontal_5_2
    | vertical_5_2
    | horizontal_5_1 ),
    inference('REWRITE',[status(thm)],[covered_5_2,3652]) ).

cnf(3655,plain,
    ~ horizontal_4_1,
    inference('REWRITE',[status(thm)],[unique_cover6_4_2,3648]) ).

cnf(3656,plain,
    vertical_4_1,
    inference('REWRITE',[status(thm)],[3633,3655]) ).

cnf(3657,plain,
    ~ horizontal_5_1,
    inference('REWRITE',[status(thm)],[unique_cover3_5_1,3656]) ).

cnf(3658,plain,
    ( horizontal_5_2
    | vertical_5_2 ),
    inference('REWRITE',[status(thm)],[3653,3657]) ).

cnf(3660,plain,
    horizontal_6_1,
    inference('REWRITE',[status(thm)],[3634,3655]) ).

cnf(3661,plain,
    ~ horizontal_6_2,
    inference('REWRITE',[status(thm)],[unique_cover2_6_2,3660]) ).

cnf(3662,plain,
    ( horizontal_6_3
    | vertical_5_3 ),
    inference('REWRITE',[status(thm)],[covered_6_3,3661]) ).

cnf(3664,plain,
    ~ vertical_5_2,
    inference('REWRITE',[status(thm)],[unique_cover6_6_2,3660]) ).

cnf(3665,plain,
    horizontal_5_2,
    inference('REWRITE',[status(thm)],[3658,3664]) ).

cnf(3666,plain,
    ~ horizontal_5_3,
    inference('REWRITE',[status(thm)],[unique_cover2_5_3,3665]) ).

cnf(3667,plain,
    ( horizontal_5_4
    | vertical_5_4
    | vertical_4_4 ),
    inference('REWRITE',[status(thm)],[covered_5_4,3666]) ).

cnf(3669,plain,
    ~ vertical_5_3,
    inference('REWRITE',[status(thm)],[unique_cover4_5_3,3665]) ).

cnf(3670,plain,
    horizontal_6_3,
    inference('REWRITE',[status(thm)],[3662,3669]) ).

cnf(3671,plain,
    ~ horizontal_6_4,
    inference('REWRITE',[status(thm)],[unique_cover2_6_4,3670]) ).

cnf(3672,plain,
    vertical_5_5,
    inference('REWRITE',[status(thm)],[42,3671]) ).

cnf(3673,plain,
    ~ horizontal_5_5,
    inference('REWRITE',[status(thm)],[unique_cover1_5_5,3672]) ).

cnf(3674,plain,
    vertical_4_6,
    inference('REWRITE',[status(thm)],[36,3673]) ).

cnf(3675,plain,
    ~ horizontal_4_5,
    inference('REWRITE',[status(thm)],[unique_cover4_4_6,3674]) ).

cnf(3676,plain,
    ( vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    inference('REWRITE',[status(thm)],[covered_4_5,3675]) ).

cnf(3679,plain,
    horizontal_3_5,
    inference('REWRITE',[status(thm)],[3289,3673]) ).

cnf(3680,plain,
    ~ vertical_3_5,
    inference('REWRITE',[status(thm)],[unique_cover1_3_5,3679]) ).

cnf(3681,plain,
    ( vertical_4_5
    | horizontal_4_4 ),
    inference('REWRITE',[status(thm)],[3676,3680]) ).

cnf(3683,plain,
    ~ horizontal_5_4,
    inference('REWRITE',[status(thm)],[unique_cover4_5_5,3672]) ).

cnf(3684,plain,
    ( vertical_5_4
    | vertical_4_4 ),
    inference('REWRITE',[status(thm)],[3667,3683]) ).

cnf(3685,plain,
    ~ vertical_4_5,
    inference('REWRITE',[status(thm)],[unique_cover5_5_5,3672]) ).

cnf(3686,plain,
    horizontal_4_4,
    inference('REWRITE',[status(thm)],[3681,3685]) ).

cnf(3687,plain,
    ~ vertical_4_4,
    inference('REWRITE',[status(thm)],[unique_cover1_4_4,3686]) ).

cnf(3688,plain,
    vertical_5_4,
    inference('REWRITE',[status(thm)],[3684,3687]) ).

cnf(3692,plain,
    $false,
    inference('REWRITE',[status(thm)],[unique_cover6_6_4,3688,3670]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 03:22:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T03:22:40
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-29T03:22:40
% 3.44/3.63  
% 3.44/3.63  
% 3.44/3.63  #||
% 3.44/3.63  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/3.63  % SZS output start Refutation
% See solution above
% 3.52/3.73  ||#
% 3.52/3.73  
% 3.52/3.73  ; Summary of computation:
% 3.52/3.73  ;     34055 formulas have been input or derived (from 3203 formulas).
% 3.52/3.73  ;      3692 (11%) were retained.  Of these,
% 3.52/3.73  ;         3632 (98%) were simplified or subsumed later,
% 3.52/3.73  ;           60 ( 2%) are still being kept.
% 3.52/3.73  ; 
% 3.52/3.73  ; Run time in seconds excluding printing time:
% 3.52/3.73  ;     0.018   1%   Read assertion file          (1 call)
% 3.52/3.73  ;     0.005   0%   Assert                       (184 calls)
% 3.52/3.73  ;     0.249   8%   Process new row              (32,889 calls)
% 3.52/3.73  ;     0.602  19%   Resolution                   (6,404 calls)
% 3.52/3.73  ;     0.005   0%   Paramodulation               (3,202 calls)
% 3.52/3.73  ;     0.022   1%   Factoring                    (3,050 calls)
% 3.52/3.73  ;     0.040   1%   Condensing                   (23,368 calls)
% 3.52/3.73  ;     1.460  46%   Forward subsumption          (23,368 calls)
% 3.52/3.73  ;     0.136   4%   Backward subsumption         (3,628 calls)
% 3.52/3.73  ;     0.092   3%   Clause clause subsumption    (23,009 calls)
% 3.52/3.73  ;     0.331  10%   Forward simplification       (23,438 calls)
% 3.52/3.73  ;     0.006   0%   Backward simplification      (3,688 calls)
% 3.52/3.74  ;     0.052   2%   Ordering                     (40,283 calls)
% 3.52/3.74  ;     0.001   0%   Sortal reasoning             (32 calls)
% 3.52/3.74  ;     0.001   0%   Purity testing               (1 call)
% 3.52/3.74  ;     0.148   5%   Other
% 3.52/3.74  ;     3.168        Total
% 3.52/3.74  ;     3.276        Real time
% 3.52/3.74  ; 
% 3.52/3.74  ; Term-hash-array has 0 terms in all.
% 3.52/3.74  ; Feature-vector-row-index has 0 entries (313 at peak, 3,628 added, 3,628 deleted).
% 3.52/3.74  ; Feature-vector-row-index has 1 node (790 at peak, 15,632 added, 15,631 deleted).
% 3.52/3.74  ;  Retrieved 499,611 possibly forward subsuming rows in 23,368 calls.
% 3.52/3.74  ;  Retrieved 6,173 possibly backward subsumed rows in 3,628 calls.
% 3.52/3.74  ; Path-index has 59 entries (60 at peak, 63 added, 4 deleted).
% 3.52/3.74  ; Path-index has 60 nodes (61 at peak, 64 added, 4 deleted).
% 3.52/3.74  ; Trie-index has 59 entries (60 at peak, 63 added, 4 deleted).
% 3.52/3.74  ; Trie-index has 60 nodes (61 at peak, 64 added, 4 deleted).
% 3.52/3.74  ; Retrieved 59 instance terms in 59 calls.
% 3.52/3.74  ; Retrieved 25,155 unifiable terms in 25,167 calls.
% 3.52/3.74  ; 
% 3.52/3.74  ; The agenda of backward simplifiable rows to process has 24 entries:
% 3.52/3.74  ;    24 with value 0
% 3.52/3.74  ; The agenda of rows to process has 5 entries:
% 3.52/3.74  ;     1 with value 90              1 with value 93               1 with value 96
% 3.52/3.74  ;     1 with value 91              1 with value 94
% 3.52/3.74  ; The agenda of input rows to give has 39 entries:
% 3.52/3.74  ;    39 with value 1
% 3.52/3.74  ; The agenda of rows to give has 6 entries:
% 3.52/3.74  ;     1 with value (4 2)           1 with value (4 16)           1 with value (4 89)
% 3.52/3.74  ;     1 with value (4 3)           1 with value (4 76)           1 with value (4 303)
% 3.52/3.74  Evaluation took:
% 3.52/3.74    3.276 seconds of real time
% 3.52/3.74    3.050061 seconds of user run time
% 3.52/3.74    0.225983 seconds of system run time
% 3.52/3.74    [Run times include 0.092 seconds GC run time.]
% 3.52/3.74    0 calls to %EVAL
% 3.52/3.74    0 page faults and
% 3.52/3.74    444,723,256 bytes consed.
% 3.52/3.74  :PROOF-FOUND
% 3.52/3.74  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T03:22:44
% 3.52/3.74  :PROOF-FOUND
% 3.52/3.74  * 
%------------------------------------------------------------------------------