%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:11:02 EDT 2022

% Result   : Unsatisfiable 2.75s 2.91s
% Output   : Refutation 2.75s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ horizontal_1_1,
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(2,axiom,
    ~ vertical_1_1,
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(3,axiom,
    ~ horizontal_6_5,
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(4,axiom,
    ~ vertical_5_6,
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ horizontal_1_3
    | ~ vertical_1_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ horizontal_1_3
    | ~ horizontal_1_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(8,plain,
    ( ~ horizontal_1_2
    | ~ horizontal_1_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[7])]),
    [iquote('copy,7,propositional')] ).

cnf(9,axiom,
    ( ~ vertical_1_3
    | ~ horizontal_1_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(10,plain,
    ( ~ horizontal_1_2
    | ~ vertical_1_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[9])]),
    [iquote('copy,9,propositional')] ).

cnf(16,axiom,
    ( ~ horizontal_1_5
    | ~ vertical_1_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ horizontal_1_5
    | ~ horizontal_1_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(18,plain,
    ( ~ horizontal_1_4
    | ~ horizontal_1_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[17])]),
    [iquote('copy,17,propositional')] ).

cnf(19,axiom,
    ( ~ vertical_1_5
    | ~ horizontal_1_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(20,plain,
    ( ~ horizontal_1_4
    | ~ vertical_1_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[19])]),
    [iquote('copy,19,propositional')] ).

cnf(24,axiom,
    ( ~ horizontal_2_2
    | ~ vertical_2_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ horizontal_2_2
    | ~ horizontal_2_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(26,plain,
    ( ~ horizontal_2_1
    | ~ horizontal_2_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[25])]),
    [iquote('copy,25,propositional')] ).

cnf(27,axiom,
    ( ~ horizontal_2_2
    | ~ vertical_1_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(28,plain,
    ( ~ vertical_1_2
    | ~ horizontal_2_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[27])]),
    [iquote('copy,27,propositional')] ).

cnf(29,axiom,
    ( ~ vertical_2_2
    | ~ horizontal_2_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(30,plain,
    ( ~ horizontal_2_1
    | ~ vertical_2_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[29])]),
    [iquote('copy,29,propositional')] ).

cnf(31,axiom,
    ( ~ vertical_2_2
    | ~ vertical_1_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(32,plain,
    ( ~ vertical_1_2
    | ~ vertical_2_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[31])]),
    [iquote('copy,31,propositional')] ).

cnf(33,axiom,
    ( ~ horizontal_2_1
    | ~ vertical_1_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(34,plain,
    ( ~ vertical_1_2
    | ~ horizontal_2_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[33])]),
    [iquote('copy,33,propositional')] ).

cnf(46,axiom,
    ( ~ horizontal_2_4
    | ~ vertical_2_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(47,axiom,
    ( ~ horizontal_2_4
    | ~ horizontal_2_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(48,plain,
    ( ~ horizontal_2_3
    | ~ horizontal_2_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[47])]),
    [iquote('copy,47,propositional')] ).

cnf(49,axiom,
    ( ~ horizontal_2_4
    | ~ vertical_1_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(50,plain,
    ( ~ vertical_1_4
    | ~ horizontal_2_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[49])]),
    [iquote('copy,49,propositional')] ).

cnf(51,axiom,
    ( ~ vertical_2_4
    | ~ horizontal_2_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(52,plain,
    ( ~ horizontal_2_3
    | ~ vertical_2_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[51])]),
    [iquote('copy,51,propositional')] ).

cnf(53,axiom,
    ( ~ vertical_2_4
    | ~ vertical_1_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(54,plain,
    ( ~ vertical_1_4
    | ~ vertical_2_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[53])]),
    [iquote('copy,53,propositional')] ).

cnf(55,axiom,
    ( ~ horizontal_2_3
    | ~ vertical_1_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(56,plain,
    ( ~ vertical_1_4
    | ~ horizontal_2_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[55])]),
    [iquote('copy,55,propositional')] ).

cnf(68,axiom,
    ( ~ vertical_2_6
    | ~ horizontal_2_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(69,plain,
    ( ~ horizontal_2_5
    | ~ vertical_2_6 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[68])]),
    [iquote('copy,68,propositional')] ).

cnf(70,axiom,
    ( ~ vertical_2_6
    | ~ vertical_1_6 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(71,plain,
    ( ~ vertical_1_6
    | ~ vertical_2_6 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[70])]),
    [iquote('copy,70,propositional')] ).

cnf(72,axiom,
    ( ~ horizontal_2_5
    | ~ vertical_1_6 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(73,plain,
    ( ~ vertical_1_6
    | ~ horizontal_2_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[72])]),
    [iquote('copy,72,propositional')] ).

cnf(74,axiom,
    ( ~ horizontal_3_1
    | ~ vertical_3_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(75,axiom,
    ( ~ horizontal_3_1
    | ~ vertical_2_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(76,plain,
    ( ~ vertical_2_1
    | ~ horizontal_3_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[75])]),
    [iquote('copy,75,propositional')] ).

cnf(77,axiom,
    ( ~ vertical_3_1
    | ~ vertical_2_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(78,plain,
    ( ~ vertical_2_1
    | ~ vertical_3_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[77])]),
    [iquote('copy,77,propositional')] ).

cnf(90,axiom,
    ( ~ horizontal_3_3
    | ~ vertical_3_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(91,axiom,
    ( ~ horizontal_3_3
    | ~ horizontal_3_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(92,plain,
    ( ~ horizontal_3_2
    | ~ horizontal_3_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[91])]),
    [iquote('copy,91,propositional')] ).

cnf(93,axiom,
    ( ~ horizontal_3_3
    | ~ vertical_2_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(94,plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[93])]),
    [iquote('copy,93,propositional')] ).

cnf(95,axiom,
    ( ~ vertical_3_3
    | ~ horizontal_3_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(96,plain,
    ( ~ horizontal_3_2
    | ~ vertical_3_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[95])]),
    [iquote('copy,95,propositional')] ).

cnf(97,axiom,
    ( ~ vertical_3_3
    | ~ vertical_2_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(98,plain,
    ( ~ vertical_2_3
    | ~ vertical_3_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[97])]),
    [iquote('copy,97,propositional')] ).

cnf(99,axiom,
    ( ~ horizontal_3_2
    | ~ vertical_2_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(100,plain,
    ( ~ vertical_2_3
    | ~ horizontal_3_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[99])]),
    [iquote('copy,99,propositional')] ).

cnf(112,axiom,
    ( ~ horizontal_3_5
    | ~ vertical_3_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(113,axiom,
    ( ~ horizontal_3_5
    | ~ horizontal_3_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(114,plain,
    ( ~ horizontal_3_4
    | ~ horizontal_3_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[113])]),
    [iquote('copy,113,propositional')] ).

cnf(115,axiom,
    ( ~ horizontal_3_5
    | ~ vertical_2_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(116,plain,
    ( ~ vertical_2_5
    | ~ horizontal_3_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[115])]),
    [iquote('copy,115,propositional')] ).

cnf(117,axiom,
    ( ~ vertical_3_5
    | ~ horizontal_3_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(118,plain,
    ( ~ horizontal_3_4
    | ~ vertical_3_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[117])]),
    [iquote('copy,117,propositional')] ).

cnf(119,axiom,
    ( ~ vertical_3_5
    | ~ vertical_2_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(120,plain,
    ( ~ vertical_2_5
    | ~ vertical_3_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[119])]),
    [iquote('copy,119,propositional')] ).

cnf(121,axiom,
    ( ~ horizontal_3_4
    | ~ vertical_2_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(122,plain,
    ( ~ vertical_2_5
    | ~ horizontal_3_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[121])]),
    [iquote('copy,121,propositional')] ).

cnf(134,axiom,
    ( ~ horizontal_4_2
    | ~ vertical_4_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(135,axiom,
    ( ~ horizontal_4_2
    | ~ horizontal_4_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(136,plain,
    ( ~ horizontal_4_1
    | ~ horizontal_4_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[135])]),
    [iquote('copy,135,propositional')] ).

cnf(137,axiom,
    ( ~ horizontal_4_2
    | ~ vertical_3_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(138,plain,
    ( ~ vertical_3_2
    | ~ horizontal_4_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[137])]),
    [iquote('copy,137,propositional')] ).

cnf(139,axiom,
    ( ~ vertical_4_2
    | ~ horizontal_4_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(140,plain,
    ( ~ horizontal_4_1
    | ~ vertical_4_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[139])]),
    [iquote('copy,139,propositional')] ).

cnf(141,axiom,
    ( ~ vertical_4_2
    | ~ vertical_3_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(142,plain,
    ( ~ vertical_3_2
    | ~ vertical_4_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[141])]),
    [iquote('copy,141,propositional')] ).

cnf(143,axiom,
    ( ~ horizontal_4_1
    | ~ vertical_3_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(144,plain,
    ( ~ vertical_3_2
    | ~ horizontal_4_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[143])]),
    [iquote('copy,143,propositional')] ).

cnf(156,axiom,
    ( ~ horizontal_4_4
    | ~ vertical_4_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(157,axiom,
    ( ~ horizontal_4_4
    | ~ horizontal_4_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(158,plain,
    ( ~ horizontal_4_3
    | ~ horizontal_4_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[157])]),
    [iquote('copy,157,propositional')] ).

cnf(159,axiom,
    ( ~ horizontal_4_4
    | ~ vertical_3_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(160,plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[159])]),
    [iquote('copy,159,propositional')] ).

cnf(161,axiom,
    ( ~ vertical_4_4
    | ~ horizontal_4_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(162,plain,
    ( ~ horizontal_4_3
    | ~ vertical_4_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[161])]),
    [iquote('copy,161,propositional')] ).

cnf(163,axiom,
    ( ~ vertical_4_4
    | ~ vertical_3_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(164,plain,
    ( ~ vertical_3_4
    | ~ vertical_4_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[163])]),
    [iquote('copy,163,propositional')] ).

cnf(165,axiom,
    ( ~ horizontal_4_3
    | ~ vertical_3_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(166,plain,
    ( ~ vertical_3_4
    | ~ horizontal_4_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[165])]),
    [iquote('copy,165,propositional')] ).

cnf(178,axiom,
    ( ~ vertical_4_6
    | ~ horizontal_4_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(179,plain,
    ( ~ horizontal_4_5
    | ~ vertical_4_6 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[178])]),
    [iquote('copy,178,propositional')] ).

cnf(180,axiom,
    ( ~ vertical_4_6
    | ~ vertical_3_6 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(181,plain,
    ( ~ vertical_3_6
    | ~ vertical_4_6 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[180])]),
    [iquote('copy,180,propositional')] ).

cnf(182,axiom,
    ( ~ horizontal_4_5
    | ~ vertical_3_6 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(183,plain,
    ( ~ vertical_3_6
    | ~ horizontal_4_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[182])]),
    [iquote('copy,182,propositional')] ).

cnf(184,axiom,
    ( ~ horizontal_5_1
    | ~ vertical_5_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(185,axiom,
    ( ~ horizontal_5_1
    | ~ vertical_4_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(186,plain,
    ( ~ vertical_4_1
    | ~ horizontal_5_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[185])]),
    [iquote('copy,185,propositional')] ).

cnf(187,axiom,
    ( ~ vertical_5_1
    | ~ vertical_4_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(188,plain,
    ( ~ vertical_4_1
    | ~ vertical_5_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[187])]),
    [iquote('copy,187,propositional')] ).

cnf(200,axiom,
    ( ~ horizontal_5_3
    | ~ vertical_5_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(201,axiom,
    ( ~ horizontal_5_3
    | ~ horizontal_5_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(202,plain,
    ( ~ horizontal_5_2
    | ~ horizontal_5_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[201])]),
    [iquote('copy,201,propositional')] ).

cnf(203,axiom,
    ( ~ horizontal_5_3
    | ~ vertical_4_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(204,plain,
    ( ~ vertical_4_3
    | ~ horizontal_5_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[203])]),
    [iquote('copy,203,propositional')] ).

cnf(205,axiom,
    ( ~ vertical_5_3
    | ~ horizontal_5_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(206,plain,
    ( ~ horizontal_5_2
    | ~ vertical_5_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[205])]),
    [iquote('copy,205,propositional')] ).

cnf(207,axiom,
    ( ~ vertical_5_3
    | ~ vertical_4_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(208,plain,
    ( ~ vertical_4_3
    | ~ vertical_5_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[207])]),
    [iquote('copy,207,propositional')] ).

cnf(209,axiom,
    ( ~ horizontal_5_2
    | ~ vertical_4_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(210,plain,
    ( ~ vertical_4_3
    | ~ horizontal_5_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[209])]),
    [iquote('copy,209,propositional')] ).

cnf(222,axiom,
    ( ~ horizontal_5_5
    | ~ vertical_5_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(223,axiom,
    ( ~ horizontal_5_5
    | ~ horizontal_5_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(224,plain,
    ( ~ horizontal_5_4
    | ~ horizontal_5_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[223])]),
    [iquote('copy,223,propositional')] ).

cnf(225,axiom,
    ( ~ horizontal_5_5
    | ~ vertical_4_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(226,plain,
    ( ~ vertical_4_5
    | ~ horizontal_5_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[225])]),
    [iquote('copy,225,propositional')] ).

cnf(227,axiom,
    ( ~ vertical_5_5
    | ~ horizontal_5_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(228,plain,
    ( ~ horizontal_5_4
    | ~ vertical_5_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[227])]),
    [iquote('copy,227,propositional')] ).

cnf(229,axiom,
    ( ~ vertical_5_5
    | ~ vertical_4_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(230,plain,
    ( ~ vertical_4_5
    | ~ vertical_5_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[229])]),
    [iquote('copy,229,propositional')] ).

cnf(231,axiom,
    ( ~ horizontal_5_4
    | ~ vertical_4_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(232,plain,
    ( ~ vertical_4_5
    | ~ horizontal_5_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[231])]),
    [iquote('copy,231,propositional')] ).

cnf(237,axiom,
    ( ~ horizontal_6_2
    | ~ horizontal_6_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(238,plain,
    ( ~ horizontal_6_1
    | ~ horizontal_6_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[237])]),
    [iquote('copy,237,propositional')] ).

cnf(239,axiom,
    ( ~ horizontal_6_2
    | ~ vertical_5_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(240,plain,
    ( ~ vertical_5_2
    | ~ horizontal_6_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[239])]),
    [iquote('copy,239,propositional')] ).

cnf(241,axiom,
    ( ~ horizontal_6_1
    | ~ vertical_5_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(242,plain,
    ( ~ vertical_5_2
    | ~ horizontal_6_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[241])]),
    [iquote('copy,241,propositional')] ).

cnf(249,axiom,
    ( ~ horizontal_6_4
    | ~ horizontal_6_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(250,plain,
    ( ~ horizontal_6_3
    | ~ horizontal_6_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[249])]),
    [iquote('copy,249,propositional')] ).

cnf(251,axiom,
    ( ~ horizontal_6_4
    | ~ vertical_5_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(252,plain,
    ( ~ vertical_5_4
    | ~ horizontal_6_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[251])]),
    [iquote('copy,251,propositional')] ).

cnf(253,axiom,
    ( ~ horizontal_6_3
    | ~ vertical_5_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(254,plain,
    ( ~ vertical_5_4
    | ~ horizontal_6_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[253])]),
    [iquote('copy,253,propositional')] ).

cnf(257,axiom,
    ( horizontal_1_2
    | vertical_1_2
    | horizontal_1_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(258,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | vertical_1_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[257])]),
    [iquote('copy,257,propositional')] ).

cnf(261,axiom,
    ( horizontal_1_4
    | vertical_1_4
    | horizontal_1_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(262,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_1_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[261])]),
    [iquote('copy,261,propositional')] ).

cnf(265,axiom,
    ( vertical_1_6
    | horizontal_1_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(266,plain,
    ( horizontal_1_5
    | vertical_1_6 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[265])]),
    [iquote('copy,265,propositional')] ).

cnf(267,axiom,
    ( horizontal_2_1
    | vertical_2_1
    | vertical_1_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(268,plain,
    ( vertical_1_1
    | horizontal_2_1
    | vertical_2_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[267])]),
    [iquote('copy,267,propositional')] ).

cnf(271,axiom,
    ( horizontal_2_3
    | vertical_2_3
    | horizontal_2_2
    | vertical_1_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(272,plain,
    ( vertical_1_3
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[271])]),
    [iquote('copy,271,propositional')] ).

cnf(275,axiom,
    ( horizontal_2_5
    | vertical_2_5
    | horizontal_2_4
    | vertical_1_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(276,plain,
    ( vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | vertical_2_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[275])]),
    [iquote('copy,275,propositional')] ).

cnf(281,axiom,
    ( horizontal_3_2
    | vertical_3_2
    | horizontal_3_1
    | vertical_2_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(282,plain,
    ( vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[281])]),
    [iquote('copy,281,propositional')] ).

cnf(285,axiom,
    ( horizontal_3_4
    | vertical_3_4
    | horizontal_3_3
    | vertical_2_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(286,plain,
    ( vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[285])]),
    [iquote('copy,285,propositional')] ).

cnf(289,axiom,
    ( vertical_3_6
    | horizontal_3_5
    | vertical_2_6 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(290,plain,
    ( vertical_2_6
    | horizontal_3_5
    | vertical_3_6 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[289])]),
    [iquote('copy,289,propositional')] ).

cnf(291,axiom,
    ( horizontal_4_1
    | vertical_4_1
    | vertical_3_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(292,plain,
    ( vertical_3_1
    | horizontal_4_1
    | vertical_4_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[291])]),
    [iquote('copy,291,propositional')] ).

cnf(295,axiom,
    ( horizontal_4_3
    | vertical_4_3
    | horizontal_4_2
    | vertical_3_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(296,plain,
    ( vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[295])]),
    [iquote('copy,295,propositional')] ).

cnf(299,axiom,
    ( horizontal_4_5
    | vertical_4_5
    | horizontal_4_4
    | vertical_3_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(300,plain,
    ( vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | vertical_4_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[299])]),
    [iquote('copy,299,propositional')] ).

cnf(305,axiom,
    ( horizontal_5_2
    | vertical_5_2
    | horizontal_5_1
    | vertical_4_2 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(306,plain,
    ( vertical_4_2
    | horizontal_5_1
    | horizontal_5_2
    | vertical_5_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[305])]),
    [iquote('copy,305,propositional')] ).

cnf(309,axiom,
    ( horizontal_5_4
    | vertical_5_4
    | horizontal_5_3
    | vertical_4_4 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(310,plain,
    ( vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | vertical_5_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[309])]),
    [iquote('copy,309,propositional')] ).

cnf(313,axiom,
    ( vertical_5_6
    | horizontal_5_5
    | vertical_4_6 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(314,plain,
    ( vertical_5_6
    | vertical_4_6
    | horizontal_5_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[313])]),
    [iquote('copy,313,propositional')] ).

cnf(315,axiom,
    ( horizontal_6_1
    | vertical_5_1 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(316,plain,
    ( vertical_5_1
    | horizontal_6_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[315])]),
    [iquote('copy,315,propositional')] ).

cnf(319,axiom,
    ( horizontal_6_3
    | horizontal_6_2
    | vertical_5_3 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(320,plain,
    ( vertical_5_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[319])]),
    [iquote('copy,319,propositional')] ).

cnf(323,axiom,
    ( horizontal_6_5
    | horizontal_6_4
    | vertical_5_5 ),
    file('PUZ015-2.006.p',unknown),
    [] ).

cnf(324,plain,
    ( horizontal_6_5
    | vertical_5_5
    | horizontal_6_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[323])]),
    [iquote('copy,323,propositional')] ).

cnf(325,plain,
    ( vertical_3_1
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[292,188,316]),
    [iquote('hyper,292,188,316')] ).

cnf(326,plain,
    ( vertical_4_6
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[314,4]),
    [iquote('hyper,314,4')] ).

cnf(327,plain,
    ( vertical_2_6
    | horizontal_3_5
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[326,181,290]),
    [iquote('hyper,326,181,290')] ).

cnf(328,plain,
    ( vertical_1_1
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[325,78,268]),
    [iquote('hyper,325,78,268')] ).

cnf(329,plain,
    ( horizontal_1_5
    | horizontal_3_5
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[327,71,266]),
    [iquote('hyper,327,71,266')] ).

cnf(331,plain,
    ( horizontal_6_5
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[329,222,324]),
    [iquote('hyper,329,222,324')] ).

cnf(333,plain,
    ( vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[296,208,320]),
    [iquote('hyper,296,208,320')] ).

cnf(335,plain,
    ( horizontal_6_5
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[300,230,324]),
    [iquote('hyper,300,230,324')] ).

cnf(336,plain,
    ( horizontal_1_5
    | horizontal_3_5
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[300,226,329]),
    [iquote('hyper,300,226,329')] ).

cnf(337,plain,
    ( horizontal_2_1
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[328,2]),
    [iquote('hyper,328,2')] ).

cnf(338,plain,
    ( horizontal_2_1
    | horizontal_4_1
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[337,242,306]),
    [iquote('hyper,337,242,306')] ).

cnf(340,plain,
    ( horizontal_1_5
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[331,3]),
    [iquote('hyper,331,3')] ).

cnf(341,plain,
    ( horizontal_1_5
    | horizontal_3_5
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[340,252,310]),
    [iquote('hyper,340,252,310')] ).

cnf(343,plain,
    ( vertical_1_3
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[333,98,272]),
    [iquote('hyper,333,98,272')] ).

cnf(345,plain,
    ( horizontal_6_5
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[335,120,276]),
    [iquote('hyper,335,120,276')] ).

cnf(346,plain,
    ( horizontal_1_5
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[336,120,276]),
    [iquote('hyper,336,120,276')] ).

cnf(347,plain,
    ( horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[338,142,282]),
    [iquote('hyper,338,142,282')] ).

cnf(348,plain,
    ( horizontal_1_5
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[341,164,286]),
    [iquote('hyper,341,164,286')] ).

cnf(349,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[347,32,258]),
    [iquote('hyper,347,32,258')] ).

cnf(350,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[348,54,262]),
    [iquote('hyper,348,54,262')] ).

cnf(351,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[349,210,296]),
    [iquote('hyper,349,210,296')] ).

cnf(352,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[349,206,320]),
    [iquote('hyper,349,206,320')] ).

cnf(354,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[350,224,329]),
    [iquote('hyper,350,224,329')] ).

cnf(355,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | vertical_1_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[351,98,272]),
    [iquote('hyper,351,98,272')] ).

cnf(357,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[354,204,296]),
    [iquote('hyper,354,204,296')] ).

cnf(359,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[354,200,320]),
    [iquote('hyper,354,200,320')] ).

cnf(360,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[359,250,340]),
    [iquote('hyper,359,250,340')] ).

cnf(361,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[360,240,306]),
    [iquote('hyper,360,240,306')] ).

cnf(362,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[360,238,337]),
    [iquote('hyper,360,238,337')] ).

cnf(365,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[352,254,310]),
    [iquote('hyper,352,254,310')] ).

cnf(366,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[352,250,340]),
    [iquote('hyper,352,250,340')] ).

cnf(368,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[361,142,282]),
    [iquote('hyper,361,142,282')] ).

cnf(369,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[361,140,362]),
    [iquote('hyper,361,140,362')] ).

cnf(370,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[369,202,354]),
    [iquote('hyper,369,202,354')] ).

cnf(371,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[370,184,316]),
    [iquote('hyper,370,184,316')] ).

cnf(372,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[371,238,360]),
    [iquote('hyper,371,238,360')] ).

cnf(373,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[365,164,286]),
    [iquote('hyper,365,164,286')] ).

cnf(374,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[372,112,335]),
    [iquote('hyper,372,112,335')] ).

cnf(375,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[366,238,337]),
    [iquote('hyper,366,238,337')] ).

cnf(377,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[375,186,292]),
    [iquote('hyper,375,186,292')] ).

cnf(378,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[377,78,268]),
    [iquote('hyper,377,78,268')] ).

cnf(379,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[378,2]),
    [iquote('hyper,378,2')] ).

cnf(380,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[379,144,282]),
    [iquote('hyper,379,144,282')] ).

cnf(382,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[380,32,258]),
    [iquote('hyper,380,32,258')] ).

cnf(384,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[382,112,335]),
    [iquote('hyper,382,112,335')] ).

cnf(386,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[374,3]),
    [iquote('hyper,374,3')] ).

cnf(388,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[386,252,310]),
    [iquote('hyper,386,252,310')] ).

cnf(390,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[384,3]),
    [iquote('hyper,384,3')] ).

cnf(391,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[373,54,262]),
    [iquote('hyper,373,54,262')] ).

cnf(394,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[390,250,352]),
    [iquote('hyper,390,250,352')] ).

cnf(395,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[388,164,286]),
    [iquote('hyper,388,164,286')] ).

cnf(398,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[394,238,337]),
    [iquote('hyper,394,238,337')] ).

cnf(400,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[398,186,292]),
    [iquote('hyper,398,186,292')] ).

cnf(401,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[400,78,268]),
    [iquote('hyper,400,78,268')] ).

cnf(402,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[391,238,337]),
    [iquote('hyper,391,238,337')] ).

cnf(403,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[401,2]),
    [iquote('hyper,401,2')] ).

cnf(404,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[403,179,326]),
    [iquote('hyper,403,179,326')] ).

cnf(405,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[404,222,324]),
    [iquote('hyper,404,222,324')] ).

cnf(406,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[405,3]),
    [iquote('hyper,405,3')] ).

cnf(407,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[395,54,262]),
    [iquote('hyper,395,54,262')] ).

cnf(409,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[406,250,352]),
    [iquote('hyper,406,250,352')] ).

cnf(410,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[407,232,300]),
    [iquote('hyper,407,232,300')] ).

cnf(412,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[409,238,337]),
    [iquote('hyper,409,238,337')] ).

cnf(414,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[412,186,292]),
    [iquote('hyper,412,186,292')] ).

cnf(418,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[414,78,268]),
    [iquote('hyper,414,78,268')] ).

cnf(419,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[418,2]),
    [iquote('hyper,418,2')] ).

cnf(421,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[419,156,365]),
    [iquote('hyper,419,156,365')] ).

cnf(423,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[410,112,372]),
    [iquote('hyper,410,112,372')] ).

cnf(426,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[423,200,320]),
    [iquote('hyper,423,200,320')] ).

cnf(429,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[426,250,386]),
    [iquote('hyper,426,250,386')] ).

cnf(431,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[402,228,324]),
    [iquote('hyper,402,228,324')] ).

cnf(434,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[429,240,306]),
    [iquote('hyper,429,240,306')] ).

cnf(435,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[429,238,337]),
    [iquote('hyper,429,238,337')] ).

cnf(436,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[435,179,326]),
    [iquote('hyper,435,179,326')] ).

cnf(437,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[436,222,324]),
    [iquote('hyper,436,222,324')] ).

cnf(438,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[437,3]),
    [iquote('hyper,437,3')] ).

cnf(439,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[438,252,310]),
    [iquote('hyper,438,252,310')] ).

cnf(442,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[421,238,337]),
    [iquote('hyper,421,238,337')] ).

cnf(444,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[442,228,324]),
    [iquote('hyper,442,228,324')] ).

cnf(450,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[439,164,286]),
    [iquote('hyper,439,164,286')] ).

cnf(452,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[444,3]),
    [iquote('hyper,444,3')] ).

cnf(453,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[452,250,352]),
    [iquote('hyper,452,250,352')] ).

cnf(454,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[453,238,337]),
    [iquote('hyper,453,238,337')] ).

cnf(456,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[454,202,349]),
    [iquote('hyper,454,202,349')] ).

cnf(457,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[431,3]),
    [iquote('hyper,431,3')] ).

cnf(459,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[456,186,292]),
    [iquote('hyper,456,186,292')] ).

cnf(460,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[459,78,268]),
    [iquote('hyper,459,78,268')] ).

cnf(461,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[460,2]),
    [iquote('hyper,460,2')] ).

cnf(462,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[461,144,282]),
    [iquote('hyper,461,144,282')] ).

cnf(464,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[462,32,258]),
    [iquote('hyper,462,32,258')] ).

cnf(467,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[464,96,333]),
    [iquote('hyper,464,96,333')] ).

cnf(468,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[467,254,310]),
    [iquote('hyper,467,254,310')] ).

cnf(470,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[467,250,340]),
    [iquote('hyper,467,250,340')] ).

cnf(474,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[470,240,306]),
    [iquote('hyper,470,240,306')] ).

cnf(475,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[470,238,337]),
    [iquote('hyper,470,238,337')] ).

cnf(477,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[475,162,341]),
    [iquote('hyper,475,162,341')] ).

cnf(478,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[477,224,329]),
    [iquote('hyper,477,224,329')] ).

cnf(479,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[478,200,320]),
    [iquote('hyper,478,200,320')] ).

cnf(480,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[479,250,340]),
    [iquote('hyper,479,250,340')] ).

cnf(481,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[480,238,337]),
    [iquote('hyper,480,238,337')] ).

cnf(482,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[481,134,338]),
    [iquote('hyper,481,134,338')] ).

cnf(483,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[482,206,320]),
    [iquote('hyper,482,206,320')] ).

cnf(484,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[483,250,340]),
    [iquote('hyper,483,250,340')] ).

cnf(485,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[484,238,337]),
    [iquote('hyper,484,238,337')] ).

cnf(486,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[485,186,292]),
    [iquote('hyper,485,186,292')] ).

cnf(487,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[486,78,268]),
    [iquote('hyper,486,78,268')] ).

cnf(488,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[450,54,262]),
    [iquote('hyper,450,54,262')] ).

cnf(489,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[487,2]),
    [iquote('hyper,487,2')] ).

cnf(491,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[488,224,436]),
    [iquote('hyper,488,224,436')] ).

cnf(494,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[491,200,320]),
    [iquote('hyper,491,200,320')] ).

cnf(495,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[494,250,438]),
    [iquote('hyper,494,250,438')] ).

cnf(496,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[495,238,337]),
    [iquote('hyper,495,238,337')] ).

cnf(497,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[457,250,352]),
    [iquote('hyper,457,250,352')] ).

cnf(498,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[496,160,286]),
    [iquote('hyper,496,160,286')] ).

cnf(499,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[498,54,262]),
    [iquote('hyper,498,54,262')] ).

cnf(501,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[499,140,434]),
    [iquote('hyper,499,140,434')] ).

cnf(504,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[501,202,423]),
    [iquote('hyper,501,202,423')] ).

cnf(505,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[504,184,316]),
    [iquote('hyper,504,184,316')] ).

cnf(506,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[505,238,429]),
    [iquote('hyper,505,238,429')] ).

cnf(508,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[506,179,326]),
    [iquote('hyper,506,179,326')] ).

cnf(509,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[508,222,324]),
    [iquote('hyper,508,222,324')] ).

cnf(510,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[509,3]),
    [iquote('hyper,509,3')] ).

cnf(511,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[510,252,310]),
    [iquote('hyper,510,252,310')] ).

cnf(513,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[511,164,286]),
    [iquote('hyper,511,164,286')] ).

cnf(514,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[513,54,262]),
    [iquote('hyper,513,54,262')] ).

cnf(515,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[514,224,508]),
    [iquote('hyper,514,224,508')] ).

cnf(518,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[515,200,320]),
    [iquote('hyper,515,200,320')] ).

cnf(521,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[518,250,510]),
    [iquote('hyper,518,250,510')] ).

cnf(522,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[521,240,306]),
    [iquote('hyper,521,240,306')] ).

cnf(525,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[522,140,499]),
    [iquote('hyper,522,140,499')] ).

cnf(526,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[525,202,515]),
    [iquote('hyper,525,202,515')] ).

cnf(527,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[526,184,316]),
    [iquote('hyper,526,184,316')] ).

cnf(528,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[527,238,521]),
    [iquote('hyper,527,238,521')] ).

cnf(529,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[474,140,489]),
    [iquote('hyper,474,140,489')] ).

cnf(530,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[528,160,286]),
    [iquote('hyper,528,160,286')] ).

cnf(532,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[530,54,262]),
    [iquote('hyper,530,54,262')] ).

cnf(533,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[532,118,336]),
    [iquote('hyper,532,118,336')] ).

cnf(536,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_6
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[533,183,290]),
    [iquote('hyper,533,183,290')] ).

cnf(537,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[497,238,337]),
    [iquote('hyper,497,238,337')] ).

cnf(538,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[536,71,266]),
    [iquote('hyper,536,71,266')] ).

cnf(539,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[538,156,341]),
    [iquote('hyper,538,156,341')] ).

cnf(540,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[539,224,329]),
    [iquote('hyper,539,224,329')] ).

cnf(542,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[540,200,320]),
    [iquote('hyper,540,200,320')] ).

cnf(543,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[542,250,340]),
    [iquote('hyper,542,250,340')] ).

cnf(544,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[543,240,306]),
    [iquote('hyper,543,240,306')] ).

cnf(545,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[543,238,337]),
    [iquote('hyper,543,238,337')] ).

cnf(557,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[544,140,545]),
    [iquote('hyper,544,140,545')] ).

cnf(558,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[557,202,540]),
    [iquote('hyper,557,202,540')] ).

cnf(559,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[558,184,316]),
    [iquote('hyper,558,184,316')] ).

cnf(560,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[559,238,543]),
    [iquote('hyper,559,238,543')] ).

cnf(561,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[529,210,296]),
    [iquote('hyper,529,210,296')] ).

cnf(562,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[560,114,532]),
    [iquote('hyper,560,114,532')] ).

cnf(565,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[562,92,464]),
    [iquote('hyper,562,92,464')] ).

cnf(566,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[562,90,333]),
    [iquote('hyper,562,90,333')] ).

cnf(567,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[565,76,268]),
    [iquote('hyper,565,76,268')] ).

cnf(570,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[537,202,349]),
    [iquote('hyper,537,202,349')] ).

cnf(571,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[567,2]),
    [iquote('hyper,567,2')] ).

cnf(572,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5 ),
    inference(hyper,[status(thm)],[571,34,258]),
    [iquote('hyper,571,34,258')] ).

cnf(573,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[572,16,345]),
    [iquote('hyper,572,16,345')] ).

cnf(576,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[561,96,464]),
    [iquote('hyper,561,96,464')] ).

cnf(577,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[566,254,310]),
    [iquote('hyper,566,254,310')] ).

cnf(578,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[566,250,340]),
    [iquote('hyper,566,250,340')] ).

cnf(581,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[578,240,306]),
    [iquote('hyper,578,240,306')] ).

cnf(582,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[578,238,337]),
    [iquote('hyper,578,238,337')] ).

cnf(583,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[582,162,341]),
    [iquote('hyper,582,162,341')] ).

cnf(584,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[576,184,316]),
    [iquote('hyper,576,184,316')] ).

cnf(586,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[570,186,292]),
    [iquote('hyper,570,186,292')] ).

cnf(587,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[583,224,329]),
    [iquote('hyper,583,224,329')] ).

cnf(588,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[587,200,320]),
    [iquote('hyper,587,200,320')] ).

cnf(589,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[584,238,470]),
    [iquote('hyper,584,238,470')] ).

cnf(591,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[589,162,341]),
    [iquote('hyper,589,162,341')] ).

cnf(592,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[573,3]),
    [iquote('hyper,573,3')] ).

cnf(593,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[588,250,340]),
    [iquote('hyper,588,250,340')] ).

cnf(594,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[593,238,337]),
    [iquote('hyper,593,238,337')] ).

cnf(596,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[594,134,338]),
    [iquote('hyper,594,134,338')] ).

cnf(597,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[596,206,320]),
    [iquote('hyper,596,206,320')] ).

cnf(598,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[591,224,329]),
    [iquote('hyper,591,224,329')] ).

cnf(599,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[598,200,320]),
    [iquote('hyper,598,200,320')] ).

cnf(601,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[592,252,310]),
    [iquote('hyper,592,252,310')] ).

cnf(603,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[597,250,340]),
    [iquote('hyper,597,250,340')] ).

cnf(604,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[603,238,337]),
    [iquote('hyper,603,238,337')] ).

cnf(605,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[604,186,292]),
    [iquote('hyper,604,186,292')] ).

cnf(606,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[605,78,268]),
    [iquote('hyper,605,78,268')] ).

cnf(607,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[606,2]),
    [iquote('hyper,606,2')] ).

cnf(610,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[599,250,340]),
    [iquote('hyper,599,250,340')] ).

cnf(611,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[610,240,306]),
    [iquote('hyper,610,240,306')] ).

cnf(612,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[581,140,607]),
    [iquote('hyper,581,140,607')] ).

cnf(613,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[612,210,296]),
    [iquote('hyper,612,210,296')] ).

cnf(614,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[613,90,562]),
    [iquote('hyper,613,90,562')] ).

cnf(615,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[614,184,316]),
    [iquote('hyper,614,184,316')] ).

cnf(616,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[615,238,578]),
    [iquote('hyper,615,238,578')] ).

cnf(617,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[586,78,268]),
    [iquote('hyper,586,78,268')] ).

cnf(618,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[616,162,341]),
    [iquote('hyper,616,162,341')] ).

cnf(619,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[618,224,329]),
    [iquote('hyper,618,224,329')] ).

cnf(620,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[619,200,320]),
    [iquote('hyper,619,200,320')] ).

cnf(621,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[620,250,340]),
    [iquote('hyper,620,250,340')] ).

cnf(622,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[621,240,306]),
    [iquote('hyper,621,240,306')] ).

cnf(623,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[622,140,607]),
    [iquote('hyper,622,140,607')] ).

cnf(624,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[623,202,619]),
    [iquote('hyper,623,202,619')] ).

cnf(625,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[624,184,316]),
    [iquote('hyper,624,184,316')] ).

cnf(627,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[625,238,621]),
    [iquote('hyper,625,238,621')] ).

cnf(628,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[627,136,607]),
    [iquote('hyper,627,136,607')] ).

cnf(629,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[628,112,335]),
    [iquote('hyper,628,112,335')] ).

cnf(630,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[629,3]),
    [iquote('hyper,629,3')] ).

cnf(631,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[601,164,286]),
    [iquote('hyper,601,164,286')] ).

cnf(633,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[630,252,310]),
    [iquote('hyper,630,252,310')] ).

cnf(634,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[630,250,566]),
    [iquote('hyper,630,250,566')] ).

cnf(636,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[634,240,306]),
    [iquote('hyper,634,240,306')] ).

cnf(637,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[634,238,337]),
    [iquote('hyper,634,238,337')] ).

cnf(639,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[637,179,326]),
    [iquote('hyper,637,179,326')] ).

cnf(640,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[639,222,324]),
    [iquote('hyper,639,222,324')] ).

cnf(641,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[611,140,489]),
    [iquote('hyper,611,140,489')] ).

cnf(642,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[641,202,598]),
    [iquote('hyper,641,202,598')] ).

cnf(643,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[617,2]),
    [iquote('hyper,617,2')] ).

cnf(644,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[642,184,316]),
    [iquote('hyper,642,184,316')] ).

cnf(645,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[644,238,610]),
    [iquote('hyper,644,238,610')] ).

cnf(646,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[645,136,489]),
    [iquote('hyper,645,136,489')] ).

cnf(648,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[646,112,335]),
    [iquote('hyper,646,112,335')] ).

cnf(649,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[648,3]),
    [iquote('hyper,648,3')] ).

cnf(651,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[649,252,310]),
    [iquote('hyper,649,252,310')] ).

cnf(652,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[649,250,467]),
    [iquote('hyper,649,250,467')] ).

cnf(653,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[640,3]),
    [iquote('hyper,640,3')] ).

cnf(654,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[631,54,262]),
    [iquote('hyper,631,54,262')] ).

cnf(656,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[653,250,566]),
    [iquote('hyper,653,250,566')] ).

cnf(658,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[656,238,337]),
    [iquote('hyper,656,238,337')] ).

cnf(659,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[658,156,577]),
    [iquote('hyper,658,156,577')] ).

cnf(660,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[643,144,282]),
    [iquote('hyper,643,144,282')] ).

cnf(664,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[652,240,306]),
    [iquote('hyper,652,240,306')] ).

cnf(665,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[652,238,337]),
    [iquote('hyper,652,238,337')] ).

cnf(667,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[659,238,337]),
    [iquote('hyper,659,238,337')] ).

cnf(669,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[667,228,324]),
    [iquote('hyper,667,228,324')] ).

cnf(671,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[660,32,258]),
    [iquote('hyper,660,32,258')] ).

cnf(672,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[671,122,276]),
    [iquote('hyper,671,122,276')] ).

cnf(673,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[671,118,335]),
    [iquote('hyper,671,118,335')] ).

cnf(675,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[665,179,326]),
    [iquote('hyper,665,179,326')] ).

cnf(678,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[669,3]),
    [iquote('hyper,669,3')] ).

cnf(679,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[678,250,566]),
    [iquote('hyper,678,250,566')] ).

cnf(681,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[679,238,337]),
    [iquote('hyper,679,238,337')] ).

cnf(683,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[681,204,296]),
    [iquote('hyper,681,204,296')] ).

cnf(684,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[654,232,300]),
    [iquote('hyper,654,232,300')] ).

cnf(686,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[683,90,562]),
    [iquote('hyper,683,90,562')] ).

cnf(687,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[686,162,633]),
    [iquote('hyper,686,162,633')] ).

cnf(688,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[675,222,324]),
    [iquote('hyper,675,222,324')] ).

cnf(689,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[687,232,300]),
    [iquote('hyper,687,232,300')] ).

cnf(690,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[689,112,628]),
    [iquote('hyper,689,112,628')] ).

cnf(691,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[690,200,320]),
    [iquote('hyper,690,200,320')] ).

cnf(692,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[691,250,630]),
    [iquote('hyper,691,250,630')] ).

cnf(693,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[692,238,337]),
    [iquote('hyper,692,238,337')] ).

cnf(694,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[693,179,326]),
    [iquote('hyper,693,179,326')] ).

cnf(695,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[694,222,324]),
    [iquote('hyper,694,222,324')] ).

cnf(696,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[695,3]),
    [iquote('hyper,695,3')] ).

cnf(697,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[696,252,310]),
    [iquote('hyper,696,252,310')] ).

cnf(698,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[697,162,686]),
    [iquote('hyper,697,162,686')] ).

cnf(699,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[698,224,694]),
    [iquote('hyper,698,224,694')] ).

cnf(700,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[699,200,320]),
    [iquote('hyper,699,200,320')] ).

cnf(701,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[700,250,696]),
    [iquote('hyper,700,250,696')] ).

cnf(702,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[701,238,337]),
    [iquote('hyper,701,238,337')] ).

cnf(703,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[702,158,686]),
    [iquote('hyper,702,158,686')] ).

cnf(705,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[703,134,338]),
    [iquote('hyper,703,134,338')] ).

cnf(706,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[705,206,320]),
    [iquote('hyper,705,206,320')] ).

cnf(707,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[672,16,572]),
    [iquote('hyper,672,16,572')] ).

cnf(708,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[706,254,310]),
    [iquote('hyper,706,254,310')] ).

cnf(709,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[706,250,630]),
    [iquote('hyper,706,250,630')] ).

cnf(710,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[709,238,337]),
    [iquote('hyper,709,238,337')] ).

cnf(711,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[710,186,292]),
    [iquote('hyper,710,186,292')] ).

cnf(712,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[673,3]),
    [iquote('hyper,673,3')] ).

cnf(713,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[711,78,268]),
    [iquote('hyper,711,78,268')] ).

cnf(714,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[713,2]),
    [iquote('hyper,713,2')] ).

cnf(715,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[714,179,326]),
    [iquote('hyper,714,179,326')] ).

cnf(716,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[715,222,324]),
    [iquote('hyper,715,222,324')] ).

cnf(719,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[716,3]),
    [iquote('hyper,716,3')] ).

cnf(721,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[719,250,706]),
    [iquote('hyper,719,250,706')] ).

cnf(722,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[721,238,337]),
    [iquote('hyper,721,238,337')] ).

cnf(723,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[722,186,292]),
    [iquote('hyper,722,186,292')] ).

cnf(724,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[723,78,268]),
    [iquote('hyper,723,78,268')] ).

cnf(725,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[724,2]),
    [iquote('hyper,724,2')] ).

cnf(727,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[707,90,351]),
    [iquote('hyper,707,90,351')] ).

cnf(730,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[708,156,725]),
    [iquote('hyper,708,156,725')] ).

cnf(731,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[730,238,337]),
    [iquote('hyper,730,238,337')] ).

cnf(732,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[731,228,324]),
    [iquote('hyper,731,228,324')] ).

cnf(734,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[732,3]),
    [iquote('hyper,732,3')] ).

cnf(735,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[684,120,276]),
    [iquote('hyper,684,120,276')] ).

cnf(736,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[734,250,706]),
    [iquote('hyper,734,250,706')] ).

cnf(737,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[736,238,337]),
    [iquote('hyper,736,238,337')] ).

cnf(739,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[737,202,705]),
    [iquote('hyper,737,202,705')] ).

cnf(740,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[739,186,292]),
    [iquote('hyper,739,186,292')] ).

cnf(741,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[740,78,268]),
    [iquote('hyper,740,78,268')] ).

cnf(742,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[741,2]),
    [iquote('hyper,741,2')] ).

cnf(744,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[742,140,636]),
    [iquote('hyper,742,140,636')] ).

cnf(746,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[688,3]),
    [iquote('hyper,688,3')] ).

cnf(747,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[744,210,296]),
    [iquote('hyper,744,210,296')] ).

cnf(749,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[746,250,467]),
    [iquote('hyper,746,250,467')] ).

cnf(750,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[747,90,562]),
    [iquote('hyper,747,90,562')] ).

cnf(753,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[712,250,352]),
    [iquote('hyper,712,250,352')] ).

cnf(754,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[750,184,316]),
    [iquote('hyper,750,184,316')] ).

cnf(755,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[754,238,634]),
    [iquote('hyper,754,238,634')] ).

cnf(756,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[755,179,326]),
    [iquote('hyper,755,179,326')] ).

cnf(757,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[756,222,324]),
    [iquote('hyper,756,222,324')] ).

cnf(758,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[757,3]),
    [iquote('hyper,757,3')] ).

cnf(760,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[758,250,566]),
    [iquote('hyper,758,250,566')] ).

cnf(762,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[760,240,306]),
    [iquote('hyper,760,240,306')] ).

cnf(764,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[749,238,337]),
    [iquote('hyper,749,238,337')] ).

cnf(766,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[764,156,468]),
    [iquote('hyper,764,156,468')] ).

cnf(767,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[762,140,742]),
    [iquote('hyper,762,140,742')] ).

cnf(770,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[767,210,296]),
    [iquote('hyper,767,210,296')] ).

cnf(771,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[770,90,562]),
    [iquote('hyper,770,90,562')] ).

cnf(772,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[771,184,316]),
    [iquote('hyper,771,184,316')] ).

cnf(773,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[772,238,760]),
    [iquote('hyper,772,238,760')] ).

cnf(775,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[727,186,292]),
    [iquote('hyper,727,186,292')] ).

cnf(776,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[773,156,577]),
    [iquote('hyper,773,156,577')] ).

cnf(778,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[776,240,306]),
    [iquote('hyper,776,240,306')] ).

cnf(783,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[766,238,337]),
    [iquote('hyper,766,238,337')] ).

cnf(784,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[783,228,324]),
    [iquote('hyper,783,228,324')] ).

cnf(786,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[778,140,742]),
    [iquote('hyper,778,140,742')] ).

cnf(787,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[786,228,324]),
    [iquote('hyper,786,228,324')] ).

cnf(790,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[784,3]),
    [iquote('hyper,784,3')] ).

cnf(791,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[790,250,467]),
    [iquote('hyper,790,250,467')] ).

cnf(793,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[791,238,337]),
    [iquote('hyper,791,238,337')] ).

cnf(795,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[793,204,296]),
    [iquote('hyper,793,204,296')] ).

cnf(796,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[735,16,572]),
    [iquote('hyper,735,16,572')] ).

cnf(797,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[795,96,464]),
    [iquote('hyper,795,96,464')] ).

cnf(799,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[797,162,651]),
    [iquote('hyper,797,162,651')] ).

cnf(800,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[787,3]),
    [iquote('hyper,787,3')] ).

cnf(801,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[800,250,566]),
    [iquote('hyper,800,250,566')] ).

cnf(803,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[801,240,306]),
    [iquote('hyper,801,240,306')] ).

cnf(804,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[803,140,742]),
    [iquote('hyper,803,140,742')] ).

cnf(806,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[804,204,296]),
    [iquote('hyper,804,204,296')] ).

cnf(807,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[806,90,562]),
    [iquote('hyper,806,90,562')] ).

cnf(808,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[807,210,296]),
    [iquote('hyper,807,210,296')] ).

cnf(810,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[808,90,562]),
    [iquote('hyper,808,90,562')] ).

cnf(811,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[753,238,337]),
    [iquote('hyper,753,238,337')] ).

cnf(813,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[810,184,316]),
    [iquote('hyper,810,184,316')] ).

cnf(814,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[813,238,776]),
    [iquote('hyper,813,238,776')] ).

cnf(815,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[814,228,324]),
    [iquote('hyper,814,228,324')] ).

cnf(817,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[815,3]),
    [iquote('hyper,815,3')] ).

cnf(819,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[817,250,566]),
    [iquote('hyper,817,250,566')] ).

cnf(821,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[819,238,813]),
    [iquote('hyper,819,238,813')] ).

cnf(823,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[821,204,296]),
    [iquote('hyper,821,204,296')] ).

cnf(824,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[823,90,562]),
    [iquote('hyper,823,90,562')] ).

cnf(825,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[824,162,633]),
    [iquote('hyper,824,162,633')] ).

cnf(826,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[825,232,300]),
    [iquote('hyper,825,232,300')] ).

cnf(827,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[826,112,628]),
    [iquote('hyper,826,112,628')] ).

cnf(828,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[827,200,320]),
    [iquote('hyper,827,200,320')] ).

cnf(829,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[828,250,630]),
    [iquote('hyper,828,250,630')] ).

cnf(830,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[829,240,306]),
    [iquote('hyper,829,240,306')] ).

cnf(831,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[830,140,742]),
    [iquote('hyper,830,140,742')] ).

cnf(832,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[831,202,827]),
    [iquote('hyper,831,202,827')] ).

cnf(833,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[775,78,268]),
    [iquote('hyper,775,78,268')] ).

cnf(834,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[832,184,316]),
    [iquote('hyper,832,184,316')] ).

cnf(835,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[834,238,829]),
    [iquote('hyper,834,238,829')] ).

cnf(836,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[835,179,326]),
    [iquote('hyper,835,179,326')] ).

cnf(837,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[836,222,324]),
    [iquote('hyper,836,222,324')] ).

cnf(838,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[837,3]),
    [iquote('hyper,837,3')] ).

cnf(839,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[838,252,310]),
    [iquote('hyper,838,252,310')] ).

cnf(840,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[839,162,824]),
    [iquote('hyper,839,162,824')] ).

cnf(841,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[840,224,836]),
    [iquote('hyper,840,224,836')] ).

cnf(844,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[841,200,320]),
    [iquote('hyper,841,200,320')] ).

cnf(845,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[844,250,838]),
    [iquote('hyper,844,250,838')] ).

cnf(846,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[845,240,306]),
    [iquote('hyper,845,240,306')] ).

cnf(847,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[846,140,742]),
    [iquote('hyper,846,140,742')] ).

cnf(848,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[847,202,841]),
    [iquote('hyper,847,202,841')] ).

cnf(849,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[848,184,316]),
    [iquote('hyper,848,184,316')] ).

cnf(850,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[849,238,845]),
    [iquote('hyper,849,238,845')] ).

cnf(851,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[850,158,824]),
    [iquote('hyper,850,158,824')] ).

cnf(855,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[851,136,742]),
    [iquote('hyper,851,136,742')] ).

cnf(856,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[855,30,368]),
    [iquote('hyper,855,30,368')] ).

cnf(857,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[856,202,354]),
    [iquote('hyper,856,202,354')] ).

cnf(860,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[857,184,316]),
    [iquote('hyper,857,184,316')] ).

cnf(862,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[796,204,296]),
    [iquote('hyper,796,204,296')] ).

cnf(863,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[796,200,320]),
    [iquote('hyper,796,200,320')] ).

cnf(864,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[860,238,360]),
    [iquote('hyper,860,238,360')] ).

cnf(865,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[864,112,335]),
    [iquote('hyper,864,112,335')] ).

cnf(866,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[799,232,300]),
    [iquote('hyper,799,232,300')] ).

cnf(867,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[865,3]),
    [iquote('hyper,865,3')] ).

cnf(869,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[811,186,292]),
    [iquote('hyper,811,186,292')] ).

cnf(871,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[867,252,310]),
    [iquote('hyper,867,252,310')] ).

cnf(872,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[866,112,646]),
    [iquote('hyper,866,112,646')] ).

cnf(873,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[872,200,320]),
    [iquote('hyper,872,200,320')] ).

cnf(874,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[873,250,649]),
    [iquote('hyper,873,250,649')] ).

cnf(875,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[874,238,337]),
    [iquote('hyper,874,238,337')] ).

cnf(876,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[875,179,326]),
    [iquote('hyper,875,179,326')] ).

cnf(877,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[876,222,324]),
    [iquote('hyper,876,222,324')] ).

cnf(878,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[877,3]),
    [iquote('hyper,877,3')] ).

cnf(879,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[833,2]),
    [iquote('hyper,833,2')] ).

cnf(880,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[878,252,310]),
    [iquote('hyper,878,252,310')] ).

cnf(881,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[880,162,797]),
    [iquote('hyper,880,162,797')] ).

cnf(882,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[881,224,876]),
    [iquote('hyper,881,224,876')] ).

cnf(883,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[882,200,320]),
    [iquote('hyper,882,200,320')] ).

cnf(884,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[883,250,878]),
    [iquote('hyper,883,250,878')] ).

cnf(885,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[884,238,337]),
    [iquote('hyper,884,238,337')] ).

cnf(886,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[885,158,797]),
    [iquote('hyper,885,158,797')] ).

cnf(887,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[886,134,338]),
    [iquote('hyper,886,134,338')] ).

cnf(889,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[887,206,320]),
    [iquote('hyper,887,206,320')] ).

cnf(890,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[889,254,310]),
    [iquote('hyper,889,254,310')] ).

cnf(891,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[889,250,649]),
    [iquote('hyper,889,250,649')] ).

cnf(892,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[891,238,337]),
    [iquote('hyper,891,238,337')] ).

cnf(893,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[892,186,292]),
    [iquote('hyper,892,186,292')] ).

cnf(894,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[893,78,268]),
    [iquote('hyper,893,78,268')] ).

cnf(895,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[894,2]),
    [iquote('hyper,894,2')] ).

cnf(896,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[895,179,326]),
    [iquote('hyper,895,179,326')] ).

cnf(897,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[896,222,324]),
    [iquote('hyper,896,222,324')] ).

cnf(899,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[897,3]),
    [iquote('hyper,897,3')] ).

cnf(901,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[899,250,889]),
    [iquote('hyper,899,250,889')] ).

cnf(902,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[901,238,337]),
    [iquote('hyper,901,238,337')] ).

cnf(903,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[902,186,292]),
    [iquote('hyper,902,186,292')] ).

cnf(904,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[903,78,268]),
    [iquote('hyper,903,78,268')] ).

cnf(905,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[904,2]),
    [iquote('hyper,904,2')] ).

cnf(907,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[890,156,905]),
    [iquote('hyper,890,156,905')] ).

cnf(908,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[907,238,337]),
    [iquote('hyper,907,238,337')] ).

cnf(909,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[908,228,324]),
    [iquote('hyper,908,228,324')] ).

cnf(911,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[909,3]),
    [iquote('hyper,909,3')] ).

cnf(912,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[911,250,889]),
    [iquote('hyper,911,250,889')] ).

cnf(913,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[912,238,337]),
    [iquote('hyper,912,238,337')] ).

cnf(915,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[913,202,887]),
    [iquote('hyper,913,202,887')] ).

cnf(916,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[915,186,292]),
    [iquote('hyper,915,186,292')] ).

cnf(917,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[863,250,592]),
    [iquote('hyper,863,250,592')] ).

cnf(918,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[916,78,268]),
    [iquote('hyper,916,78,268')] ).

cnf(919,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[918,2]),
    [iquote('hyper,918,2')] ).

cnf(920,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[919,140,664]),
    [iquote('hyper,919,140,664')] ).

cnf(922,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[917,240,306]),
    [iquote('hyper,917,240,306')] ).

cnf(923,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[917,238,337]),
    [iquote('hyper,917,238,337')] ).

cnf(924,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[920,210,296]),
    [iquote('hyper,920,210,296')] ).

cnf(925,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[924,96,464]),
    [iquote('hyper,924,96,464')] ).

cnf(926,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[925,184,316]),
    [iquote('hyper,925,184,316')] ).

cnf(927,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[869,78,268]),
    [iquote('hyper,869,78,268')] ).

cnf(928,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[926,238,652]),
    [iquote('hyper,926,238,652')] ).

cnf(929,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[928,179,326]),
    [iquote('hyper,928,179,326')] ).

cnf(930,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[929,222,324]),
    [iquote('hyper,929,222,324')] ).

cnf(931,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[930,3]),
    [iquote('hyper,930,3')] ).

cnf(933,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[931,250,467]),
    [iquote('hyper,931,250,467')] ).

cnf(935,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[933,240,306]),
    [iquote('hyper,933,240,306')] ).

cnf(937,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[871,164,286]),
    [iquote('hyper,871,164,286')] ).

cnf(938,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[935,140,919]),
    [iquote('hyper,935,140,919')] ).

cnf(939,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[938,210,296]),
    [iquote('hyper,938,210,296')] ).

cnf(940,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[939,96,464]),
    [iquote('hyper,939,96,464')] ).

cnf(941,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[940,184,316]),
    [iquote('hyper,940,184,316')] ).

cnf(943,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[941,238,933]),
    [iquote('hyper,941,238,933')] ).

cnf(945,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[943,156,468]),
    [iquote('hyper,943,156,468')] ).

cnf(947,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[945,240,306]),
    [iquote('hyper,945,240,306')] ).

cnf(950,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[923,179,326]),
    [iquote('hyper,923,179,326')] ).

cnf(952,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[927,2]),
    [iquote('hyper,927,2')] ).

cnf(954,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[952,179,326]),
    [iquote('hyper,952,179,326')] ).

cnf(956,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[954,222,324]),
    [iquote('hyper,954,222,324')] ).

cnf(957,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[937,54,262]),
    [iquote('hyper,937,54,262')] ).

cnf(958,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[957,232,300]),
    [iquote('hyper,957,232,300')] ).

cnf(960,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[958,112,864]),
    [iquote('hyper,958,112,864')] ).

cnf(964,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[960,200,320]),
    [iquote('hyper,960,200,320')] ).

cnf(965,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[964,250,867]),
    [iquote('hyper,964,250,867')] ).

cnf(966,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[965,240,306]),
    [iquote('hyper,965,240,306')] ).

cnf(968,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[947,140,919]),
    [iquote('hyper,947,140,919')] ).

cnf(969,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[968,228,324]),
    [iquote('hyper,968,228,324')] ).

cnf(971,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[950,222,324]),
    [iquote('hyper,950,222,324')] ).

cnf(975,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[956,3]),
    [iquote('hyper,956,3')] ).

cnf(977,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[975,250,352]),
    [iquote('hyper,975,250,352')] ).

cnf(979,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[966,142,282]),
    [iquote('hyper,966,142,282')] ).

cnf(980,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[969,3]),
    [iquote('hyper,969,3')] ).

cnf(981,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[980,250,467]),
    [iquote('hyper,980,250,467')] ).

cnf(983,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[981,240,306]),
    [iquote('hyper,981,240,306')] ).

cnf(984,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[983,140,919]),
    [iquote('hyper,983,140,919')] ).

cnf(986,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[984,204,296]),
    [iquote('hyper,984,204,296')] ).

cnf(987,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[986,96,464]),
    [iquote('hyper,986,96,464')] ).

cnf(989,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[987,210,296]),
    [iquote('hyper,987,210,296')] ).

cnf(991,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[989,96,464]),
    [iquote('hyper,989,96,464')] ).

cnf(993,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[991,184,316]),
    [iquote('hyper,991,184,316')] ).

cnf(994,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[993,238,945]),
    [iquote('hyper,993,238,945')] ).

cnf(998,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[994,228,324]),
    [iquote('hyper,994,228,324')] ).

cnf(1000,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[998,3]),
    [iquote('hyper,998,3')] ).

cnf(1001,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1000,250,467]),
    [iquote('hyper,1000,250,467')] ).

cnf(1003,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1001,238,993]),
    [iquote('hyper,1001,238,993')] ).

cnf(1004,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[971,3]),
    [iquote('hyper,971,3')] ).

cnf(1006,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1003,204,296]),
    [iquote('hyper,1003,204,296')] ).

cnf(1007,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1006,96,464]),
    [iquote('hyper,1006,96,464')] ).

cnf(1009,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1007,162,651]),
    [iquote('hyper,1007,162,651')] ).

cnf(1011,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1009,232,300]),
    [iquote('hyper,1009,232,300')] ).

cnf(1012,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1011,112,646]),
    [iquote('hyper,1011,112,646')] ).

cnf(1013,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1012,200,320]),
    [iquote('hyper,1012,200,320')] ).

cnf(1014,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1013,250,649]),
    [iquote('hyper,1013,250,649')] ).

cnf(1016,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1014,240,306]),
    [iquote('hyper,1014,240,306')] ).

cnf(1017,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1016,140,919]),
    [iquote('hyper,1016,140,919')] ).

cnf(1018,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1017,202,1012]),
    [iquote('hyper,1017,202,1012')] ).

cnf(1019,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1018,184,316]),
    [iquote('hyper,1018,184,316')] ).

cnf(1021,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1019,238,1014]),
    [iquote('hyper,1019,238,1014')] ).

cnf(1022,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1021,179,326]),
    [iquote('hyper,1021,179,326')] ).

cnf(1023,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1022,222,324]),
    [iquote('hyper,1022,222,324')] ).

cnf(1024,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1023,3]),
    [iquote('hyper,1023,3')] ).

cnf(1025,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1024,252,310]),
    [iquote('hyper,1024,252,310')] ).

cnf(1026,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1025,162,1007]),
    [iquote('hyper,1025,162,1007')] ).

cnf(1027,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1026,224,1022]),
    [iquote('hyper,1026,224,1022')] ).

cnf(1028,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1027,200,320]),
    [iquote('hyper,1027,200,320')] ).

cnf(1029,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[977,238,337]),
    [iquote('hyper,977,238,337')] ).

cnf(1030,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1028,250,1024]),
    [iquote('hyper,1028,250,1024')] ).

cnf(1031,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1030,240,306]),
    [iquote('hyper,1030,240,306')] ).

cnf(1032,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1031,140,919]),
    [iquote('hyper,1031,140,919')] ).

cnf(1033,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1032,202,1027]),
    [iquote('hyper,1032,202,1027')] ).

cnf(1034,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1033,184,316]),
    [iquote('hyper,1033,184,316')] ).

cnf(1035,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1034,238,1030]),
    [iquote('hyper,1034,238,1030')] ).

cnf(1036,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1035,158,1007]),
    [iquote('hyper,1035,158,1007')] ).

cnf(1037,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[1036,136,919]),
    [iquote('hyper,1036,136,919')] ).

cnf(1038,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[979,30,855]),
    [iquote('hyper,979,30,855')] ).

cnf(1039,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[1037,76,268]),
    [iquote('hyper,1037,76,268')] ).

cnf(1040,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[1039,2]),
    [iquote('hyper,1039,2')] ).

cnf(1041,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_5 ),
    inference(hyper,[status(thm)],[1040,34,258]),
    [iquote('hyper,1040,34,258')] ).

cnf(1042,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1041,16,345]),
    [iquote('hyper,1041,16,345')] ).

cnf(1044,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1042,3]),
    [iquote('hyper,1042,3')] ).

cnf(1046,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1044,252,310]),
    [iquote('hyper,1044,252,310')] ).

cnf(1047,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1044,250,352]),
    [iquote('hyper,1044,250,352')] ).

cnf(1052,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1029,186,292]),
    [iquote('hyper,1029,186,292')] ).

cnf(1053,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1038,202,960]),
    [iquote('hyper,1038,202,960')] ).

cnf(1056,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1053,184,316]),
    [iquote('hyper,1053,184,316')] ).

cnf(1057,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1056,238,965]),
    [iquote('hyper,1056,238,965')] ).

cnf(1058,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1004,252,310]),
    [iquote('hyper,1004,252,310')] ).

cnf(1059,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1057,179,326]),
    [iquote('hyper,1057,179,326')] ).

cnf(1060,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1059,222,324]),
    [iquote('hyper,1059,222,324')] ).

cnf(1061,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1060,3]),
    [iquote('hyper,1060,3')] ).

cnf(1062,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1061,252,310]),
    [iquote('hyper,1061,252,310')] ).

cnf(1064,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1052,78,268]),
    [iquote('hyper,1052,78,268')] ).

cnf(1065,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1062,164,286]),
    [iquote('hyper,1062,164,286')] ).

cnf(1067,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1064,2]),
    [iquote('hyper,1064,2')] ).

cnf(1068,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1067,156,365]),
    [iquote('hyper,1067,156,365')] ).

cnf(1069,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1065,54,262]),
    [iquote('hyper,1065,54,262')] ).

cnf(1070,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1069,224,1059]),
    [iquote('hyper,1069,224,1059')] ).

cnf(1075,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1070,200,320]),
    [iquote('hyper,1070,200,320')] ).

cnf(1076,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1075,250,1061]),
    [iquote('hyper,1075,250,1061')] ).

cnf(1077,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1076,240,306]),
    [iquote('hyper,1076,240,306')] ).

cnf(1082,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1077,142,282]),
    [iquote('hyper,1077,142,282')] ).

cnf(1083,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1082,30,855]),
    [iquote('hyper,1082,30,855')] ).

cnf(1084,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1083,202,1070]),
    [iquote('hyper,1083,202,1070')] ).

cnf(1085,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1047,238,337]),
    [iquote('hyper,1047,238,337')] ).

cnf(1088,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1084,184,316]),
    [iquote('hyper,1084,184,316')] ).

cnf(1089,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1088,238,1076]),
    [iquote('hyper,1088,238,1076')] ).

cnf(1090,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[1089,160,286]),
    [iquote('hyper,1089,160,286')] ).

cnf(1091,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[1090,54,262]),
    [iquote('hyper,1090,54,262')] ).

cnf(1093,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1091,118,336]),
    [iquote('hyper,1091,118,336')] ).

cnf(1096,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_6
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1093,183,290]),
    [iquote('hyper,1093,183,290')] ).

cnf(1097,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1096,71,266]),
    [iquote('hyper,1096,71,266')] ).

cnf(1098,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1097,156,341]),
    [iquote('hyper,1097,156,341')] ).

cnf(1099,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1058,164,286]),
    [iquote('hyper,1058,164,286')] ).

cnf(1100,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1098,224,329]),
    [iquote('hyper,1098,224,329')] ).

cnf(1102,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1100,200,320]),
    [iquote('hyper,1100,200,320')] ).

cnf(1103,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1102,250,340]),
    [iquote('hyper,1102,250,340')] ).

cnf(1104,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1103,240,306]),
    [iquote('hyper,1103,240,306')] ).

cnf(1113,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1104,142,282]),
    [iquote('hyper,1104,142,282')] ).

cnf(1114,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1113,30,855]),
    [iquote('hyper,1113,30,855')] ).

cnf(1115,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1114,202,1100]),
    [iquote('hyper,1114,202,1100')] ).

cnf(1118,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1115,184,316]),
    [iquote('hyper,1115,184,316')] ).

cnf(1119,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1068,238,337]),
    [iquote('hyper,1068,238,337')] ).

cnf(1120,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1118,238,1103]),
    [iquote('hyper,1118,238,1103')] ).

cnf(1121,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[1120,114,1091]),
    [iquote('hyper,1120,114,1091')] ).

cnf(1124,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1121,90,333]),
    [iquote('hyper,1121,90,333')] ).

cnf(1127,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1124,254,310]),
    [iquote('hyper,1124,254,310')] ).

cnf(1128,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1124,250,340]),
    [iquote('hyper,1124,250,340')] ).

cnf(1131,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1128,240,306]),
    [iquote('hyper,1128,240,306')] ).

cnf(1133,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1085,186,292]),
    [iquote('hyper,1085,186,292')] ).

cnf(1135,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1131,142,282]),
    [iquote('hyper,1131,142,282')] ).

cnf(1136,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1133,78,268]),
    [iquote('hyper,1133,78,268')] ).

cnf(1137,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1135,30,855]),
    [iquote('hyper,1135,30,855')] ).

cnf(1138,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1137,210,296]),
    [iquote('hyper,1137,210,296')] ).

cnf(1140,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1138,90,1121]),
    [iquote('hyper,1138,90,1121')] ).

cnf(1143,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1140,184,316]),
    [iquote('hyper,1140,184,316')] ).

cnf(1144,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1143,238,1128]),
    [iquote('hyper,1143,238,1128')] ).

cnf(1146,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1144,162,341]),
    [iquote('hyper,1144,162,341')] ).

cnf(1147,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1146,224,329]),
    [iquote('hyper,1146,224,329')] ).

cnf(1148,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1147,200,320]),
    [iquote('hyper,1147,200,320')] ).

cnf(1149,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1148,250,340]),
    [iquote('hyper,1148,250,340')] ).

cnf(1151,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1149,240,306]),
    [iquote('hyper,1149,240,306')] ).

cnf(1152,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1151,142,282]),
    [iquote('hyper,1151,142,282')] ).

cnf(1153,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1152,30,855]),
    [iquote('hyper,1152,30,855')] ).

cnf(1154,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1153,202,1147]),
    [iquote('hyper,1153,202,1147')] ).

cnf(1155,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1099,54,262]),
    [iquote('hyper,1099,54,262')] ).

cnf(1158,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1154,184,316]),
    [iquote('hyper,1154,184,316')] ).

cnf(1159,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1158,238,1149]),
    [iquote('hyper,1158,238,1149')] ).

cnf(1160,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1159,138,282]),
    [iquote('hyper,1159,138,282')] ).

cnf(1161,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1160,30,855]),
    [iquote('hyper,1160,30,855')] ).

cnf(1165,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1161,112,335]),
    [iquote('hyper,1161,112,335')] ).

cnf(1166,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1165,3]),
    [iquote('hyper,1165,3')] ).

cnf(1168,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1166,252,310]),
    [iquote('hyper,1166,252,310')] ).

cnf(1169,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1166,250,1124]),
    [iquote('hyper,1166,250,1124')] ).

cnf(1172,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1169,240,306]),
    [iquote('hyper,1169,240,306')] ).

cnf(1173,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1136,2]),
    [iquote('hyper,1136,2')] ).

cnf(1175,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1173,179,326]),
    [iquote('hyper,1173,179,326')] ).

cnf(1177,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1119,228,324]),
    [iquote('hyper,1119,228,324')] ).

cnf(1179,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1175,222,324]),
    [iquote('hyper,1175,222,324')] ).

cnf(1180,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1179,3]),
    [iquote('hyper,1179,3')] ).

cnf(1182,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1180,250,352]),
    [iquote('hyper,1180,250,352')] ).

cnf(1184,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1182,238,337]),
    [iquote('hyper,1182,238,337')] ).

cnf(1186,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1184,186,292]),
    [iquote('hyper,1184,186,292')] ).

cnf(1187,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1186,78,268]),
    [iquote('hyper,1186,78,268')] ).

cnf(1188,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1187,2]),
    [iquote('hyper,1187,2')] ).

cnf(1194,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1188,158,879]),
    [iquote('hyper,1188,158,879')] ).

cnf(1195,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1188,156,365]),
    [iquote('hyper,1188,156,365')] ).

cnf(1196,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1194,138,282]),
    [iquote('hyper,1194,138,282')] ).

cnf(1197,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1155,224,950]),
    [iquote('hyper,1155,224,950')] ).

cnf(1198,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1196,32,258]),
    [iquote('hyper,1196,32,258')] ).

cnf(1199,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1198,144,282]),
    [iquote('hyper,1198,144,282')] ).

cnf(1201,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1199,32,258]),
    [iquote('hyper,1199,32,258')] ).

cnf(1202,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1201,96,862]),
    [iquote('hyper,1201,96,862')] ).

cnf(1204,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1172,142,282]),
    [iquote('hyper,1172,142,282')] ).

cnf(1206,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1195,238,337]),
    [iquote('hyper,1195,238,337')] ).

cnf(1207,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1206,228,324]),
    [iquote('hyper,1206,228,324')] ).

cnf(1209,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1177,3]),
    [iquote('hyper,1177,3')] ).

cnf(1212,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1197,200,320]),
    [iquote('hyper,1197,200,320')] ).

cnf(1217,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1204,30,855]),
    [iquote('hyper,1204,30,855')] ).

cnf(1218,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1217,210,296]),
    [iquote('hyper,1217,210,296')] ).

cnf(1220,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1218,90,1121]),
    [iquote('hyper,1218,90,1121')] ).

cnf(1223,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1220,184,316]),
    [iquote('hyper,1220,184,316')] ).

cnf(1224,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1223,238,1169]),
    [iquote('hyper,1223,238,1169')] ).

cnf(1225,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1224,179,326]),
    [iquote('hyper,1224,179,326')] ).

cnf(1226,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1225,222,324]),
    [iquote('hyper,1225,222,324')] ).

cnf(1227,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1226,3]),
    [iquote('hyper,1226,3')] ).

cnf(1229,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1227,250,1124]),
    [iquote('hyper,1227,250,1124')] ).

cnf(1231,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1229,240,306]),
    [iquote('hyper,1229,240,306')] ).

cnf(1233,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1202,179,326]),
    [iquote('hyper,1202,179,326')] ).

cnf(1235,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1231,142,282]),
    [iquote('hyper,1231,142,282')] ).

cnf(1236,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1235,30,855]),
    [iquote('hyper,1235,30,855')] ).

cnf(1238,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1236,210,296]),
    [iquote('hyper,1236,210,296')] ).

cnf(1240,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1238,90,1121]),
    [iquote('hyper,1238,90,1121')] ).

cnf(1243,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1240,184,316]),
    [iquote('hyper,1240,184,316')] ).

cnf(1244,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1243,238,1229]),
    [iquote('hyper,1243,238,1229')] ).

cnf(1245,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1207,3]),
    [iquote('hyper,1207,3')] ).

cnf(1246,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1244,156,1127]),
    [iquote('hyper,1244,156,1127')] ).

cnf(1248,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1246,240,306]),
    [iquote('hyper,1246,240,306')] ).

cnf(1249,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1245,250,352]),
    [iquote('hyper,1245,250,352')] ).

cnf(1250,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1209,250,352]),
    [iquote('hyper,1209,250,352')] ).

cnf(1251,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1249,238,337]),
    [iquote('hyper,1249,238,337')] ).

cnf(1253,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1251,202,349]),
    [iquote('hyper,1251,202,349')] ).

cnf(1255,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1253,186,292]),
    [iquote('hyper,1253,186,292')] ).

cnf(1256,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1255,78,268]),
    [iquote('hyper,1255,78,268')] ).

cnf(1257,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1256,2]),
    [iquote('hyper,1256,2')] ).

cnf(1258,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1257,144,282]),
    [iquote('hyper,1257,144,282')] ).

cnf(1260,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1258,32,258]),
    [iquote('hyper,1258,32,258')] ).

cnf(1262,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1260,96,333]),
    [iquote('hyper,1260,96,333')] ).

cnf(1264,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1262,254,310]),
    [iquote('hyper,1262,254,310')] ).

cnf(1265,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1262,250,1044]),
    [iquote('hyper,1262,250,1044')] ).

cnf(1268,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1265,240,306]),
    [iquote('hyper,1265,240,306')] ).

cnf(1269,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1265,238,337]),
    [iquote('hyper,1265,238,337')] ).

cnf(1271,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1269,179,326]),
    [iquote('hyper,1269,179,326')] ).

cnf(1273,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1212,250,1004]),
    [iquote('hyper,1212,250,1004')] ).

cnf(1274,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1271,222,324]),
    [iquote('hyper,1271,222,324')] ).

cnf(1276,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1248,142,282]),
    [iquote('hyper,1248,142,282')] ).

cnf(1277,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1250,238,337]),
    [iquote('hyper,1250,238,337')] ).

cnf(1279,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1277,202,349]),
    [iquote('hyper,1277,202,349')] ).

cnf(1281,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1279,186,292]),
    [iquote('hyper,1279,186,292')] ).

cnf(1282,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1281,78,268]),
    [iquote('hyper,1281,78,268')] ).

cnf(1283,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1282,2]),
    [iquote('hyper,1282,2')] ).

cnf(1284,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1233,222,324]),
    [iquote('hyper,1233,222,324')] ).

cnf(1285,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[1283,144,282]),
    [iquote('hyper,1283,144,282')] ).

cnf(1287,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[1285,32,258]),
    [iquote('hyper,1285,32,258')] ).

cnf(1289,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1287,90,351]),
    [iquote('hyper,1287,90,351')] ).

cnf(1294,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1289,186,292]),
    [iquote('hyper,1289,186,292')] ).

cnf(1297,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1294,78,268]),
    [iquote('hyper,1294,78,268')] ).

cnf(1300,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1297,2]),
    [iquote('hyper,1297,2')] ).

cnf(1301,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1300,162,365]),
    [iquote('hyper,1300,162,365')] ).

cnf(1304,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1273,238,337]),
    [iquote('hyper,1273,238,337')] ).

cnf(1306,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1304,160,286]),
    [iquote('hyper,1304,160,286')] ).

cnf(1307,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1306,54,262]),
    [iquote('hyper,1306,54,262')] ).

cnf(1308,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1307,140,922]),
    [iquote('hyper,1307,140,922')] ).

cnf(1310,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1274,3]),
    [iquote('hyper,1274,3')] ).

cnf(1312,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1310,250,1262]),
    [iquote('hyper,1310,250,1262')] ).

cnf(1314,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1312,238,337]),
    [iquote('hyper,1312,238,337')] ).

cnf(1317,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1314,156,1264]),
    [iquote('hyper,1314,156,1264')] ).

cnf(1318,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1276,30,855]),
    [iquote('hyper,1276,30,855')] ).

cnf(1319,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1318,228,324]),
    [iquote('hyper,1318,228,324')] ).

cnf(1323,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1317,238,337]),
    [iquote('hyper,1317,238,337')] ).

cnf(1324,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1323,228,324]),
    [iquote('hyper,1323,228,324')] ).

cnf(1326,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1284,3]),
    [iquote('hyper,1284,3')] ).

cnf(1327,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1319,3]),
    [iquote('hyper,1319,3')] ).

cnf(1328,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1327,250,1124]),
    [iquote('hyper,1327,250,1124')] ).

cnf(1330,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1328,240,306]),
    [iquote('hyper,1328,240,306')] ).

cnf(1332,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1330,142,282]),
    [iquote('hyper,1330,142,282')] ).

cnf(1333,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1332,30,855]),
    [iquote('hyper,1332,30,855')] ).

cnf(1335,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1333,204,296]),
    [iquote('hyper,1333,204,296')] ).

cnf(1336,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1335,90,1121]),
    [iquote('hyper,1335,90,1121')] ).

cnf(1337,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1336,210,296]),
    [iquote('hyper,1336,210,296')] ).

cnf(1340,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1337,90,1121]),
    [iquote('hyper,1337,90,1121')] ).

cnf(1344,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1340,184,316]),
    [iquote('hyper,1340,184,316')] ).

cnf(1345,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1344,238,1246]),
    [iquote('hyper,1344,238,1246')] ).

cnf(1346,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1345,228,324]),
    [iquote('hyper,1345,228,324')] ).

cnf(1348,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1346,3]),
    [iquote('hyper,1346,3')] ).

cnf(1349,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1348,250,1124]),
    [iquote('hyper,1348,250,1124')] ).

cnf(1351,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1349,238,1344]),
    [iquote('hyper,1349,238,1344')] ).

cnf(1353,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1351,204,296]),
    [iquote('hyper,1351,204,296')] ).

cnf(1354,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1353,90,1121]),
    [iquote('hyper,1353,90,1121')] ).

cnf(1355,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1301,238,337]),
    [iquote('hyper,1301,238,337')] ).

cnf(1356,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1354,162,1168]),
    [iquote('hyper,1354,162,1168')] ).

cnf(1357,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1356,232,300]),
    [iquote('hyper,1356,232,300')] ).

cnf(1358,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1357,112,1161]),
    [iquote('hyper,1357,112,1161')] ).

cnf(1359,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1358,200,320]),
    [iquote('hyper,1358,200,320')] ).

cnf(1361,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1359,250,1166]),
    [iquote('hyper,1359,250,1166')] ).

cnf(1362,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1361,240,306]),
    [iquote('hyper,1361,240,306')] ).

cnf(1363,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1362,142,282]),
    [iquote('hyper,1362,142,282')] ).

cnf(1364,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1363,30,855]),
    [iquote('hyper,1363,30,855')] ).

cnf(1365,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1308,202,796]),
    [iquote('hyper,1308,202,796')] ).

cnf(1366,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1364,202,1358]),
    [iquote('hyper,1364,202,1358')] ).

cnf(1369,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1366,184,316]),
    [iquote('hyper,1366,184,316')] ).

cnf(1370,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1369,238,1361]),
    [iquote('hyper,1369,238,1361')] ).

cnf(1371,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1370,179,326]),
    [iquote('hyper,1370,179,326')] ).

cnf(1373,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1371,222,324]),
    [iquote('hyper,1371,222,324')] ).

cnf(1374,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1373,3]),
    [iquote('hyper,1373,3')] ).

cnf(1375,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1374,252,310]),
    [iquote('hyper,1374,252,310')] ).

cnf(1376,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1375,162,1354]),
    [iquote('hyper,1375,162,1354')] ).

cnf(1377,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1324,3]),
    [iquote('hyper,1324,3')] ).

cnf(1378,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1376,224,1371]),
    [iquote('hyper,1376,224,1371')] ).

cnf(1379,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1378,200,320]),
    [iquote('hyper,1378,200,320')] ).

cnf(1380,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1379,250,1374]),
    [iquote('hyper,1379,250,1374')] ).

cnf(1381,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1380,240,306]),
    [iquote('hyper,1380,240,306')] ).

cnf(1382,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1326,252,310]),
    [iquote('hyper,1326,252,310')] ).

cnf(1384,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1381,142,282]),
    [iquote('hyper,1381,142,282')] ).

cnf(1385,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1384,30,855]),
    [iquote('hyper,1384,30,855')] ).

cnf(1386,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1385,202,1378]),
    [iquote('hyper,1385,202,1378')] ).

cnf(1389,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1386,184,316]),
    [iquote('hyper,1386,184,316')] ).

cnf(1390,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1389,238,1380]),
    [iquote('hyper,1389,238,1380')] ).

cnf(1391,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1390,158,1354]),
    [iquote('hyper,1390,158,1354')] ).

cnf(1392,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1391,138,282]),
    [iquote('hyper,1391,138,282')] ).

cnf(1393,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1392,30,855]),
    [iquote('hyper,1392,30,855')] ).

cnf(1395,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1355,228,324]),
    [iquote('hyper,1355,228,324')] ).

cnf(1398,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1393,96,357]),
    [iquote('hyper,1393,96,357')] ).

cnf(1410,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1398,166,286]),
    [iquote('hyper,1398,166,286')] ).

cnf(1411,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1410,54,262]),
    [iquote('hyper,1410,54,262')] ).

cnf(1412,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1411,134,361]),
    [iquote('hyper,1411,134,361')] ).

cnf(1413,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1365,184,316]),
    [iquote('hyper,1365,184,316')] ).

cnf(1414,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1412,202,354]),
    [iquote('hyper,1412,202,354')] ).

cnf(1416,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1414,184,316]),
    [iquote('hyper,1414,184,316')] ).

cnf(1417,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1416,238,360]),
    [iquote('hyper,1416,238,360')] ).

cnf(1418,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1417,112,335]),
    [iquote('hyper,1417,112,335')] ).

cnf(1421,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1377,250,1262]),
    [iquote('hyper,1377,250,1262')] ).

cnf(1422,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1418,3]),
    [iquote('hyper,1418,3')] ).

cnf(1424,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1422,252,310]),
    [iquote('hyper,1422,252,310')] ).

cnf(1426,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1382,164,286]),
    [iquote('hyper,1382,164,286')] ).

cnf(1428,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1421,238,337]),
    [iquote('hyper,1421,238,337')] ).

cnf(1430,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1428,204,296]),
    [iquote('hyper,1428,204,296')] ).

cnf(1431,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1430,96,1260]),
    [iquote('hyper,1430,96,1260')] ).

cnf(1433,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1431,162,1046]),
    [iquote('hyper,1431,162,1046')] ).

cnf(1436,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1424,164,286]),
    [iquote('hyper,1424,164,286')] ).

cnf(1439,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1436,54,262]),
    [iquote('hyper,1436,54,262')] ).

cnf(1440,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1439,232,300]),
    [iquote('hyper,1439,232,300')] ).

cnf(1442,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1440,112,1417]),
    [iquote('hyper,1440,112,1417')] ).

cnf(1444,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1442,204,296]),
    [iquote('hyper,1442,204,296')] ).

cnf(1445,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1442,200,320]),
    [iquote('hyper,1442,200,320')] ).

cnf(1446,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1395,3]),
    [iquote('hyper,1395,3')] ).

cnf(1447,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1445,250,1422]),
    [iquote('hyper,1445,250,1422')] ).

cnf(1448,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1447,240,306]),
    [iquote('hyper,1447,240,306')] ).

cnf(1449,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1444,96,1393]),
    [iquote('hyper,1444,96,1393')] ).

cnf(1450,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1449,179,326]),
    [iquote('hyper,1449,179,326')] ).

cnf(1451,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1450,222,324]),
    [iquote('hyper,1450,222,324')] ).

cnf(1452,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1451,3]),
    [iquote('hyper,1451,3')] ).

cnf(1454,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1452,252,310]),
    [iquote('hyper,1452,252,310')] ).

cnf(1458,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1413,238,917]),
    [iquote('hyper,1413,238,917')] ).

cnf(1460,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1458,179,326]),
    [iquote('hyper,1458,179,326')] ).

cnf(1469,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1433,232,300]),
    [iquote('hyper,1433,232,300')] ).

cnf(1470,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1426,54,262]),
    [iquote('hyper,1426,54,262')] ).

cnf(1471,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1446,250,352]),
    [iquote('hyper,1446,250,352')] ).

cnf(1472,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1454,164,286]),
    [iquote('hyper,1454,164,286')] ).

cnf(1476,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1469,120,276]),
    [iquote('hyper,1469,120,276')] ).

cnf(1477,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1471,238,337]),
    [iquote('hyper,1471,238,337')] ).

cnf(1479,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1477,202,349]),
    [iquote('hyper,1477,202,349')] ).

cnf(1483,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1479,186,292]),
    [iquote('hyper,1479,186,292')] ).

cnf(1484,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1483,78,268]),
    [iquote('hyper,1483,78,268')] ).

cnf(1485,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1484,2]),
    [iquote('hyper,1484,2')] ).

cnf(1486,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1485,138,282]),
    [iquote('hyper,1485,138,282')] ).

cnf(1487,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1486,32,258]),
    [iquote('hyper,1486,32,258')] ).

cnf(1488,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1487,144,282]),
    [iquote('hyper,1487,144,282')] ).

cnf(1490,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[1488,32,258]),
    [iquote('hyper,1488,32,258')] ).

cnf(1491,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1490,96,333]),
    [iquote('hyper,1490,96,333')] ).

cnf(1494,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1472,54,262]),
    [iquote('hyper,1472,54,262')] ).

cnf(1495,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1494,224,1450]),
    [iquote('hyper,1494,224,1450')] ).

cnf(1498,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1495,204,296]),
    [iquote('hyper,1495,204,296')] ).

cnf(1499,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1498,96,1393]),
    [iquote('hyper,1498,96,1393')] ).

cnf(1500,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1499,160,286]),
    [iquote('hyper,1499,160,286')] ).

cnf(1501,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1500,54,262]),
    [iquote('hyper,1500,54,262')] ).

cnf(1502,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1501,166,286]),
    [iquote('hyper,1501,166,286')] ).

cnf(1504,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1502,54,262]),
    [iquote('hyper,1502,54,262')] ).

cnf(1505,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1504,134,1448]),
    [iquote('hyper,1504,134,1448')] ).

cnf(1506,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1470,224,1460]),
    [iquote('hyper,1470,224,1460')] ).

cnf(1507,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1505,202,1442]),
    [iquote('hyper,1505,202,1442')] ).

cnf(1509,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1507,184,316]),
    [iquote('hyper,1507,184,316')] ).

cnf(1510,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1509,238,1447]),
    [iquote('hyper,1509,238,1447')] ).

cnf(1511,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1510,179,326]),
    [iquote('hyper,1510,179,326')] ).

cnf(1513,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1511,222,324]),
    [iquote('hyper,1511,222,324')] ).

cnf(1514,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1513,3]),
    [iquote('hyper,1513,3')] ).

cnf(1515,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1514,252,310]),
    [iquote('hyper,1514,252,310')] ).

cnf(1516,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1515,164,286]),
    [iquote('hyper,1515,164,286')] ).

cnf(1518,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1516,54,262]),
    [iquote('hyper,1516,54,262')] ).

cnf(1519,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1518,224,1511]),
    [iquote('hyper,1518,224,1511')] ).

cnf(1521,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1519,200,320]),
    [iquote('hyper,1519,200,320')] ).

cnf(1522,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1476,16,1041]),
    [iquote('hyper,1476,16,1041')] ).

cnf(1523,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1521,250,1514]),
    [iquote('hyper,1521,250,1514')] ).

cnf(1524,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1523,240,306]),
    [iquote('hyper,1523,240,306')] ).

cnf(1525,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1524,134,1504]),
    [iquote('hyper,1524,134,1504')] ).

cnf(1526,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1525,202,1519]),
    [iquote('hyper,1525,202,1519')] ).

cnf(1529,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1526,184,316]),
    [iquote('hyper,1526,184,316')] ).

cnf(1530,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1529,238,1523]),
    [iquote('hyper,1529,238,1523')] ).

cnf(1531,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[1530,160,286]),
    [iquote('hyper,1530,160,286')] ).

cnf(1532,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[1531,54,262]),
    [iquote('hyper,1531,54,262')] ).

cnf(1534,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1532,118,336]),
    [iquote('hyper,1532,118,336')] ).

cnf(1537,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_6
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1534,183,290]),
    [iquote('hyper,1534,183,290')] ).

cnf(1538,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1537,71,266]),
    [iquote('hyper,1537,71,266')] ).

cnf(1539,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1538,156,341]),
    [iquote('hyper,1538,156,341')] ).

cnf(1540,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1539,224,329]),
    [iquote('hyper,1539,224,329')] ).

cnf(1541,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1540,204,296]),
    [iquote('hyper,1540,204,296')] ).

cnf(1542,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1540,200,320]),
    [iquote('hyper,1540,200,320')] ).

cnf(1543,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1542,250,340]),
    [iquote('hyper,1542,250,340')] ).

cnf(1544,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1543,240,306]),
    [iquote('hyper,1543,240,306')] ).

cnf(1552,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1541,96,1393]),
    [iquote('hyper,1541,96,1393')] ).

cnf(1554,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1506,204,296]),
    [iquote('hyper,1506,204,296')] ).

cnf(1556,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1552,158,1538]),
    [iquote('hyper,1552,158,1538')] ).

cnf(1557,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1544,134,1556]),
    [iquote('hyper,1544,134,1556')] ).

cnf(1558,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1557,202,1540]),
    [iquote('hyper,1557,202,1540')] ).

cnf(1561,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1558,184,316]),
    [iquote('hyper,1558,184,316')] ).

cnf(1562,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1561,238,1543]),
    [iquote('hyper,1561,238,1543')] ).

cnf(1563,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[1562,114,1532]),
    [iquote('hyper,1562,114,1532')] ).

cnf(1565,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[1563,92,1393]),
    [iquote('hyper,1563,92,1393')] ).

cnf(1566,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1522,200,320]),
    [iquote('hyper,1522,200,320')] ).

cnf(1568,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1565,74,325]),
    [iquote('hyper,1565,74,325')] ).

cnf(1569,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1568,242,306]),
    [iquote('hyper,1568,242,306')] ).

cnf(1570,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1568,238,360]),
    [iquote('hyper,1568,238,360')] ).

cnf(1573,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1570,140,361]),
    [iquote('hyper,1570,140,361')] ).

cnf(1574,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1573,202,354]),
    [iquote('hyper,1573,202,354')] ).

cnf(1575,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1574,184,316]),
    [iquote('hyper,1574,184,316')] ).

cnf(1576,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1575,238,360]),
    [iquote('hyper,1575,238,360')] ).

cnf(1578,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1576,112,335]),
    [iquote('hyper,1576,112,335')] ).

cnf(1579,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1578,3]),
    [iquote('hyper,1578,3')] ).

cnf(1581,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1579,252,310]),
    [iquote('hyper,1579,252,310')] ).

cnf(1583,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1581,164,286]),
    [iquote('hyper,1581,164,286')] ).

cnf(1584,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1583,54,262]),
    [iquote('hyper,1583,54,262')] ).

cnf(1585,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1584,232,300]),
    [iquote('hyper,1584,232,300')] ).

cnf(1587,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1585,112,1576]),
    [iquote('hyper,1585,112,1576')] ).

cnf(1590,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1587,200,320]),
    [iquote('hyper,1587,200,320')] ).

cnf(1591,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1590,250,1579]),
    [iquote('hyper,1590,250,1579')] ).

cnf(1592,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1591,240,306]),
    [iquote('hyper,1591,240,306')] ).

cnf(1593,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1591,238,1568]),
    [iquote('hyper,1591,238,1568')] ).

cnf(1594,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1554,96,1490]),
    [iquote('hyper,1554,96,1490')] ).

cnf(1595,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1593,179,326]),
    [iquote('hyper,1593,179,326')] ).

cnf(1596,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1595,222,324]),
    [iquote('hyper,1595,222,324')] ).

cnf(1597,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1596,3]),
    [iquote('hyper,1596,3')] ).

cnf(1598,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1597,252,310]),
    [iquote('hyper,1597,252,310')] ).

cnf(1601,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1598,164,286]),
    [iquote('hyper,1598,164,286')] ).

cnf(1602,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1601,54,262]),
    [iquote('hyper,1601,54,262')] ).

cnf(1603,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1566,250,1044]),
    [iquote('hyper,1566,250,1044')] ).

cnf(1604,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1602,224,1595]),
    [iquote('hyper,1602,224,1595')] ).

cnf(1607,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1604,200,320]),
    [iquote('hyper,1604,200,320')] ).

cnf(1608,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1607,250,1597]),
    [iquote('hyper,1607,250,1597')] ).

cnf(1611,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1608,238,1568]),
    [iquote('hyper,1608,238,1568')] ).

cnf(1612,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1611,160,286]),
    [iquote('hyper,1611,160,286')] ).

cnf(1613,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1612,54,262]),
    [iquote('hyper,1612,54,262')] ).

cnf(1614,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1613,140,1592]),
    [iquote('hyper,1613,140,1592')] ).

cnf(1618,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1614,202,1587]),
    [iquote('hyper,1614,202,1587')] ).

cnf(1619,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1618,184,316]),
    [iquote('hyper,1618,184,316')] ).

cnf(1620,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1619,238,1591]),
    [iquote('hyper,1619,238,1591')] ).

cnf(1621,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1620,179,326]),
    [iquote('hyper,1620,179,326')] ).

cnf(1623,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1621,222,324]),
    [iquote('hyper,1621,222,324')] ).

cnf(1624,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1623,3]),
    [iquote('hyper,1623,3')] ).

cnf(1625,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1624,252,310]),
    [iquote('hyper,1624,252,310')] ).

cnf(1626,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1625,164,286]),
    [iquote('hyper,1625,164,286')] ).

cnf(1628,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1594,160,286]),
    [iquote('hyper,1594,160,286')] ).

cnf(1629,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1626,54,262]),
    [iquote('hyper,1626,54,262')] ).

cnf(1630,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1629,224,1621]),
    [iquote('hyper,1629,224,1621')] ).

cnf(1633,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1630,200,320]),
    [iquote('hyper,1630,200,320')] ).

cnf(1637,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1633,250,1624]),
    [iquote('hyper,1633,250,1624')] ).

cnf(1638,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1637,240,306]),
    [iquote('hyper,1637,240,306')] ).

cnf(1640,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1638,140,1613]),
    [iquote('hyper,1638,140,1613')] ).

cnf(1641,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1603,238,337]),
    [iquote('hyper,1603,238,337')] ).

cnf(1642,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1640,202,1630]),
    [iquote('hyper,1640,202,1630')] ).

cnf(1643,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1642,184,316]),
    [iquote('hyper,1642,184,316')] ).

cnf(1644,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1643,238,1637]),
    [iquote('hyper,1643,238,1637')] ).

cnf(1645,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[1644,160,286]),
    [iquote('hyper,1644,160,286')] ).

cnf(1646,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[1645,54,262]),
    [iquote('hyper,1645,54,262')] ).

cnf(1647,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1646,118,336]),
    [iquote('hyper,1646,118,336')] ).

cnf(1650,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_2_6
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1647,183,290]),
    [iquote('hyper,1647,183,290')] ).

cnf(1651,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1650,71,266]),
    [iquote('hyper,1650,71,266')] ).

cnf(1653,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1651,156,341]),
    [iquote('hyper,1651,156,341')] ).

cnf(1654,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1653,224,329]),
    [iquote('hyper,1653,224,329')] ).

cnf(1656,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1654,200,320]),
    [iquote('hyper,1654,200,320')] ).

cnf(1657,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1656,250,340]),
    [iquote('hyper,1656,250,340')] ).

cnf(1658,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1657,240,306]),
    [iquote('hyper,1657,240,306')] ).

cnf(1659,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1657,238,1568]),
    [iquote('hyper,1657,238,1568')] ).

cnf(1666,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1658,140,1659]),
    [iquote('hyper,1658,140,1659')] ).

cnf(1667,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1666,202,1654]),
    [iquote('hyper,1666,202,1654')] ).

cnf(1672,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1667,184,316]),
    [iquote('hyper,1667,184,316')] ).

cnf(1673,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1672,238,1657]),
    [iquote('hyper,1672,238,1657')] ).

cnf(1674,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[1673,114,1646]),
    [iquote('hyper,1673,114,1646')] ).

cnf(1677,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1674,90,333]),
    [iquote('hyper,1674,90,333')] ).

cnf(1681,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1677,254,310]),
    [iquote('hyper,1677,254,310')] ).

cnf(1682,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1677,250,340]),
    [iquote('hyper,1677,250,340')] ).

cnf(1685,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1682,240,306]),
    [iquote('hyper,1682,240,306')] ).

cnf(1686,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1682,238,1568]),
    [iquote('hyper,1682,238,1568')] ).

cnf(1687,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1686,162,341]),
    [iquote('hyper,1686,162,341')] ).

cnf(1688,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1687,224,329]),
    [iquote('hyper,1687,224,329')] ).

cnf(1689,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1688,200,320]),
    [iquote('hyper,1688,200,320')] ).

cnf(1690,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1689,250,340]),
    [iquote('hyper,1689,250,340')] ).

cnf(1691,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1628,54,262]),
    [iquote('hyper,1628,54,262')] ).

cnf(1692,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1690,238,1568]),
    [iquote('hyper,1690,238,1568')] ).

cnf(1693,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1692,134,1569]),
    [iquote('hyper,1692,134,1569')] ).

cnf(1694,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1693,206,320]),
    [iquote('hyper,1693,206,320')] ).

cnf(1695,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1694,250,340]),
    [iquote('hyper,1694,250,340')] ).

cnf(1696,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1695,238,1568]),
    [iquote('hyper,1695,238,1568')] ).

cnf(1697,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1696,186,292]),
    [iquote('hyper,1696,186,292')] ).

cnf(1698,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1697,74,1565]),
    [iquote('hyper,1697,74,1565')] ).

cnf(1700,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1685,140,1698]),
    [iquote('hyper,1685,140,1698')] ).

cnf(1701,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1700,210,296]),
    [iquote('hyper,1700,210,296')] ).

cnf(1702,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1701,90,1674]),
    [iquote('hyper,1701,90,1674')] ).

cnf(1704,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1641,179,326]),
    [iquote('hyper,1641,179,326')] ).

cnf(1706,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1702,184,316]),
    [iquote('hyper,1702,184,316')] ).

cnf(1707,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1706,238,1682]),
    [iquote('hyper,1706,238,1682')] ).

cnf(1708,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1707,162,341]),
    [iquote('hyper,1707,162,341')] ).

cnf(1709,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1708,224,329]),
    [iquote('hyper,1708,224,329')] ).

cnf(1710,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1709,200,320]),
    [iquote('hyper,1709,200,320')] ).

cnf(1711,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1710,250,340]),
    [iquote('hyper,1710,250,340')] ).

cnf(1712,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1711,240,306]),
    [iquote('hyper,1711,240,306')] ).

cnf(1713,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1712,140,1698]),
    [iquote('hyper,1712,140,1698')] ).

cnf(1715,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1713,202,1709]),
    [iquote('hyper,1713,202,1709')] ).

cnf(1716,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1715,184,316]),
    [iquote('hyper,1715,184,316')] ).

cnf(1717,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1716,238,1711]),
    [iquote('hyper,1716,238,1711')] ).

cnf(1718,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[1717,136,1698]),
    [iquote('hyper,1717,136,1698')] ).

cnf(1719,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1718,112,335]),
    [iquote('hyper,1718,112,335')] ).

cnf(1720,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1719,3]),
    [iquote('hyper,1719,3')] ).

cnf(1722,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1720,252,310]),
    [iquote('hyper,1720,252,310')] ).

cnf(1723,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1720,250,1677]),
    [iquote('hyper,1720,250,1677')] ).

cnf(1728,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1723,240,306]),
    [iquote('hyper,1723,240,306')] ).

cnf(1729,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1723,238,1568]),
    [iquote('hyper,1723,238,1568')] ).

cnf(1730,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1729,179,326]),
    [iquote('hyper,1729,179,326')] ).

cnf(1731,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1730,222,324]),
    [iquote('hyper,1730,222,324')] ).

cnf(1732,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1691,166,286]),
    [iquote('hyper,1691,166,286')] ).

cnf(1733,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1731,3]),
    [iquote('hyper,1731,3')] ).

cnf(1735,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1733,250,1677]),
    [iquote('hyper,1733,250,1677')] ).

cnf(1737,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1735,238,1568]),
    [iquote('hyper,1735,238,1568')] ).

cnf(1738,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1737,156,1681]),
    [iquote('hyper,1737,156,1681')] ).

cnf(1741,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1738,238,1568]),
    [iquote('hyper,1738,238,1568')] ).

cnf(1742,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1741,228,324]),
    [iquote('hyper,1741,228,324')] ).

cnf(1744,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1742,3]),
    [iquote('hyper,1742,3')] ).

cnf(1745,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1744,250,1677]),
    [iquote('hyper,1744,250,1677')] ).

cnf(1747,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1745,238,1568]),
    [iquote('hyper,1745,238,1568')] ).

cnf(1749,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1747,204,296]),
    [iquote('hyper,1747,204,296')] ).

cnf(1750,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1749,90,1674]),
    [iquote('hyper,1749,90,1674')] ).

cnf(1751,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1750,162,1722]),
    [iquote('hyper,1750,162,1722')] ).

cnf(1752,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1704,222,324]),
    [iquote('hyper,1704,222,324')] ).

cnf(1753,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1751,232,300]),
    [iquote('hyper,1751,232,300')] ).

cnf(1754,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1753,112,1718]),
    [iquote('hyper,1753,112,1718')] ).

cnf(1755,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1754,200,320]),
    [iquote('hyper,1754,200,320')] ).

cnf(1756,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1755,250,1720]),
    [iquote('hyper,1755,250,1720')] ).

cnf(1757,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1756,238,1568]),
    [iquote('hyper,1756,238,1568')] ).

cnf(1758,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1757,179,326]),
    [iquote('hyper,1757,179,326')] ).

cnf(1759,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1758,222,324]),
    [iquote('hyper,1758,222,324')] ).

cnf(1760,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1759,3]),
    [iquote('hyper,1759,3')] ).

cnf(1762,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1760,252,310]),
    [iquote('hyper,1760,252,310')] ).

cnf(1763,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1762,162,1750]),
    [iquote('hyper,1762,162,1750')] ).

cnf(1764,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1763,224,1758]),
    [iquote('hyper,1763,224,1758')] ).

cnf(1765,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1764,200,320]),
    [iquote('hyper,1764,200,320')] ).

cnf(1766,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1765,250,1760]),
    [iquote('hyper,1765,250,1760')] ).

cnf(1767,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1766,238,1568]),
    [iquote('hyper,1766,238,1568')] ).

cnf(1768,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1767,158,1750]),
    [iquote('hyper,1767,158,1750')] ).

cnf(1769,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1768,134,1569]),
    [iquote('hyper,1768,134,1569')] ).

cnf(1770,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1769,206,320]),
    [iquote('hyper,1769,206,320')] ).

cnf(1771,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1770,254,310]),
    [iquote('hyper,1770,254,310')] ).

cnf(1772,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1770,250,1720]),
    [iquote('hyper,1770,250,1720')] ).

cnf(1773,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1772,238,1568]),
    [iquote('hyper,1772,238,1568')] ).

cnf(1774,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1773,186,292]),
    [iquote('hyper,1773,186,292')] ).

cnf(1776,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1774,74,1565]),
    [iquote('hyper,1774,74,1565')] ).

cnf(1777,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1776,179,326]),
    [iquote('hyper,1776,179,326')] ).

cnf(1778,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1777,222,324]),
    [iquote('hyper,1777,222,324')] ).

cnf(1779,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1778,3]),
    [iquote('hyper,1778,3')] ).

cnf(1781,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1779,250,1770]),
    [iquote('hyper,1779,250,1770')] ).

cnf(1782,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1781,238,1568]),
    [iquote('hyper,1781,238,1568')] ).

cnf(1783,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1782,186,292]),
    [iquote('hyper,1782,186,292')] ).

cnf(1784,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1783,74,1565]),
    [iquote('hyper,1783,74,1565')] ).

cnf(1785,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1771,156,1784]),
    [iquote('hyper,1771,156,1784')] ).

cnf(1786,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1785,238,1568]),
    [iquote('hyper,1785,238,1568')] ).

cnf(1787,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1786,228,324]),
    [iquote('hyper,1786,228,324')] ).

cnf(1789,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1732,54,262]),
    [iquote('hyper,1732,54,262')] ).

cnf(1790,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1787,3]),
    [iquote('hyper,1787,3')] ).

cnf(1791,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1790,250,1770]),
    [iquote('hyper,1790,250,1770')] ).

cnf(1792,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1791,238,1568]),
    [iquote('hyper,1791,238,1568')] ).

cnf(1794,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1792,202,1769]),
    [iquote('hyper,1792,202,1769')] ).

cnf(1796,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1794,186,292]),
    [iquote('hyper,1794,186,292')] ).

cnf(1797,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1796,74,1565]),
    [iquote('hyper,1796,74,1565')] ).

cnf(1798,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1797,140,1728]),
    [iquote('hyper,1797,140,1728')] ).

cnf(1799,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1798,210,296]),
    [iquote('hyper,1798,210,296')] ).

cnf(1800,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1752,3]),
    [iquote('hyper,1752,3')] ).

cnf(1801,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1799,90,1674]),
    [iquote('hyper,1799,90,1674')] ).

cnf(1802,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1801,184,316]),
    [iquote('hyper,1801,184,316')] ).

cnf(1803,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1802,238,1723]),
    [iquote('hyper,1802,238,1723')] ).

cnf(1804,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1803,179,326]),
    [iquote('hyper,1803,179,326')] ).

cnf(1807,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1804,222,324]),
    [iquote('hyper,1804,222,324')] ).

cnf(1808,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1807,3]),
    [iquote('hyper,1807,3')] ).

cnf(1810,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1808,250,1677]),
    [iquote('hyper,1808,250,1677')] ).

cnf(1812,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1810,240,306]),
    [iquote('hyper,1810,240,306')] ).

cnf(1815,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1812,140,1797]),
    [iquote('hyper,1812,140,1797')] ).

cnf(1816,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1815,210,296]),
    [iquote('hyper,1815,210,296')] ).

cnf(1817,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[1789,136,1307]),
    [iquote('hyper,1789,136,1307')] ).

cnf(1818,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1816,90,1674]),
    [iquote('hyper,1816,90,1674')] ).

cnf(1819,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1818,184,316]),
    [iquote('hyper,1818,184,316')] ).

cnf(1820,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1819,238,1810]),
    [iquote('hyper,1819,238,1810')] ).

cnf(1821,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1820,156,1681]),
    [iquote('hyper,1820,156,1681')] ).

cnf(1824,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1821,240,306]),
    [iquote('hyper,1821,240,306')] ).

cnf(1825,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1800,252,310]),
    [iquote('hyper,1800,252,310')] ).

cnf(1826,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[1817,122,276]),
    [iquote('hyper,1817,122,276')] ).

cnf(1831,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1824,140,1797]),
    [iquote('hyper,1824,140,1797')] ).

cnf(1832,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1831,228,324]),
    [iquote('hyper,1831,228,324')] ).

cnf(1834,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[1826,16,1041]),
    [iquote('hyper,1826,16,1041')] ).

cnf(1836,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[1834,92,1490]),
    [iquote('hyper,1834,92,1490')] ).

cnf(1837,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[1836,76,268]),
    [iquote('hyper,1836,76,268')] ).

cnf(1838,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[1837,2]),
    [iquote('hyper,1837,2')] ).

cnf(1839,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1838,69,327]),
    [iquote('hyper,1838,69,327')] ).

cnf(1842,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1839,222,324]),
    [iquote('hyper,1839,222,324')] ).

cnf(1844,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1842,3]),
    [iquote('hyper,1842,3')] ).

cnf(1845,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1844,252,310]),
    [iquote('hyper,1844,252,310')] ).

cnf(1846,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1844,250,1491]),
    [iquote('hyper,1844,250,1491')] ).

cnf(1847,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1832,3]),
    [iquote('hyper,1832,3')] ).

cnf(1848,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1825,162,1431]),
    [iquote('hyper,1825,162,1431')] ).

cnf(1849,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1847,250,1677]),
    [iquote('hyper,1847,250,1677')] ).

cnf(1851,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1849,240,306]),
    [iquote('hyper,1849,240,306')] ).

cnf(1852,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1851,140,1797]),
    [iquote('hyper,1851,140,1797')] ).

cnf(1854,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1852,204,296]),
    [iquote('hyper,1852,204,296')] ).

cnf(1855,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1854,90,1674]),
    [iquote('hyper,1854,90,1674')] ).

cnf(1856,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1855,210,296]),
    [iquote('hyper,1855,210,296')] ).

cnf(1858,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1856,90,1674]),
    [iquote('hyper,1856,90,1674')] ).

cnf(1861,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1858,184,316]),
    [iquote('hyper,1858,184,316')] ).

cnf(1862,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1861,238,1821]),
    [iquote('hyper,1861,238,1821')] ).

cnf(1863,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1862,228,324]),
    [iquote('hyper,1862,228,324')] ).

cnf(1865,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1863,3]),
    [iquote('hyper,1863,3')] ).

cnf(1867,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1865,250,1677]),
    [iquote('hyper,1865,250,1677')] ).

cnf(1869,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1867,238,1861]),
    [iquote('hyper,1867,238,1861')] ).

cnf(1871,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1869,204,296]),
    [iquote('hyper,1869,204,296')] ).

cnf(1872,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1871,90,1674]),
    [iquote('hyper,1871,90,1674')] ).

cnf(1873,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1872,162,1722]),
    [iquote('hyper,1872,162,1722')] ).

cnf(1874,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1873,232,300]),
    [iquote('hyper,1873,232,300')] ).

cnf(1875,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1874,112,1718]),
    [iquote('hyper,1874,112,1718')] ).

cnf(1876,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1875,200,320]),
    [iquote('hyper,1875,200,320')] ).

cnf(1879,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1876,250,1720]),
    [iquote('hyper,1876,250,1720')] ).

cnf(1880,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1879,240,306]),
    [iquote('hyper,1879,240,306')] ).

cnf(1881,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1880,140,1797]),
    [iquote('hyper,1880,140,1797')] ).

cnf(1882,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1881,202,1875]),
    [iquote('hyper,1881,202,1875')] ).

cnf(1884,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1882,184,316]),
    [iquote('hyper,1882,184,316')] ).

cnf(1885,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1884,238,1879]),
    [iquote('hyper,1884,238,1879')] ).

cnf(1886,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1885,179,326]),
    [iquote('hyper,1885,179,326')] ).

cnf(1887,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1886,222,324]),
    [iquote('hyper,1886,222,324')] ).

cnf(1889,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1846,240,306]),
    [iquote('hyper,1846,240,306')] ).

cnf(1890,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[1846,238,337]),
    [iquote('hyper,1846,238,337')] ).

cnf(1891,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1887,3]),
    [iquote('hyper,1887,3')] ).

cnf(1892,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1891,252,310]),
    [iquote('hyper,1891,252,310')] ).

cnf(1893,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1892,162,1872]),
    [iquote('hyper,1892,162,1872')] ).

cnf(1894,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1893,224,1886]),
    [iquote('hyper,1893,224,1886')] ).

cnf(1895,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1848,224,1704]),
    [iquote('hyper,1848,224,1704')] ).

cnf(1896,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1894,200,320]),
    [iquote('hyper,1894,200,320')] ).

cnf(1897,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1896,250,1891]),
    [iquote('hyper,1896,250,1891')] ).

cnf(1898,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1897,240,306]),
    [iquote('hyper,1897,240,306')] ).

cnf(1899,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1898,140,1797]),
    [iquote('hyper,1898,140,1797')] ).

cnf(1902,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1899,202,1894]),
    [iquote('hyper,1899,202,1894')] ).

cnf(1903,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[1902,184,316]),
    [iquote('hyper,1902,184,316')] ).

cnf(1904,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1903,238,1897]),
    [iquote('hyper,1903,238,1897')] ).

cnf(1905,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1904,158,1872]),
    [iquote('hyper,1904,158,1872')] ).

cnf(1907,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_1_5 ),
    inference(hyper,[status(thm)],[1905,136,1797]),
    [iquote('hyper,1905,136,1797')] ).

cnf(1908,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1907,16,345]),
    [iquote('hyper,1907,16,345')] ).

cnf(1909,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1908,3]),
    [iquote('hyper,1908,3')] ).

cnf(1911,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1909,252,310]),
    [iquote('hyper,1909,252,310')] ).

cnf(1916,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1911,164,286]),
    [iquote('hyper,1911,164,286')] ).

cnf(1917,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1895,200,320]),
    [iquote('hyper,1895,200,320')] ).

cnf(1918,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1890,162,1845]),
    [iquote('hyper,1890,162,1845')] ).

cnf(1925,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1916,54,262]),
    [iquote('hyper,1916,54,262')] ).

cnf(1926,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1925,232,300]),
    [iquote('hyper,1925,232,300')] ).

cnf(1930,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1926,120,276]),
    [iquote('hyper,1926,120,276')] ).

cnf(1931,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1930,16,1907]),
    [iquote('hyper,1930,16,1907')] ).

cnf(1933,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1931,204,296]),
    [iquote('hyper,1931,204,296')] ).

cnf(1934,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1931,200,320]),
    [iquote('hyper,1931,200,320')] ).

cnf(1938,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1934,250,1909]),
    [iquote('hyper,1934,250,1909')] ).

cnf(1939,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1938,240,306]),
    [iquote('hyper,1938,240,306')] ).

cnf(1940,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1938,238,337]),
    [iquote('hyper,1938,238,337')] ).

cnf(1942,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1940,179,326]),
    [iquote('hyper,1940,179,326')] ).

cnf(1944,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1942,222,324]),
    [iquote('hyper,1942,222,324')] ).

cnf(1945,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1917,250,1800]),
    [iquote('hyper,1917,250,1800')] ).

cnf(1946,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1945,238,337]),
    [iquote('hyper,1945,238,337')] ).

cnf(1948,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[1946,158,1431]),
    [iquote('hyper,1946,158,1431')] ).

cnf(1949,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1948,134,338]),
    [iquote('hyper,1948,134,338')] ).

cnf(1950,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1949,206,320]),
    [iquote('hyper,1949,206,320')] ).

cnf(1951,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1918,224,1839]),
    [iquote('hyper,1918,224,1839')] ).

cnf(1952,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1950,254,310]),
    [iquote('hyper,1950,254,310')] ).

cnf(1953,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1950,250,1044]),
    [iquote('hyper,1950,250,1044')] ).

cnf(1961,plain,
    ( horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1933,98,272]),
    [iquote('hyper,1933,98,272')] ).

cnf(1962,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[1939,142,282]),
    [iquote('hyper,1939,142,282')] ).

cnf(1964,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1944,3]),
    [iquote('hyper,1944,3')] ).

cnf(1965,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1964,252,310]),
    [iquote('hyper,1964,252,310')] ).

cnf(1966,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[1951,200,320]),
    [iquote('hyper,1951,200,320')] ).

cnf(1968,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1953,238,337]),
    [iquote('hyper,1953,238,337')] ).

cnf(1969,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1968,186,292]),
    [iquote('hyper,1968,186,292')] ).

cnf(1970,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1969,78,268]),
    [iquote('hyper,1969,78,268')] ).

cnf(1971,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[1970,2]),
    [iquote('hyper,1970,2')] ).

cnf(1973,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[1971,179,326]),
    [iquote('hyper,1971,179,326')] ).

cnf(1975,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1973,222,324]),
    [iquote('hyper,1973,222,324')] ).

cnf(1976,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1975,3]),
    [iquote('hyper,1975,3')] ).

cnf(1978,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1976,250,1950]),
    [iquote('hyper,1976,250,1950')] ).

cnf(1979,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1978,238,337]),
    [iquote('hyper,1978,238,337')] ).

cnf(1980,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1979,186,292]),
    [iquote('hyper,1979,186,292')] ).

cnf(1981,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1980,78,268]),
    [iquote('hyper,1980,78,268')] ).

cnf(1984,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[1981,2]),
    [iquote('hyper,1981,2')] ).

cnf(1987,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1952,156,1984]),
    [iquote('hyper,1952,156,1984')] ).

cnf(1988,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1987,238,337]),
    [iquote('hyper,1987,238,337')] ).

cnf(1989,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1988,228,324]),
    [iquote('hyper,1988,228,324')] ).

cnf(1992,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[1989,3]),
    [iquote('hyper,1989,3')] ).

cnf(1993,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1992,250,1950]),
    [iquote('hyper,1992,250,1950')] ).

cnf(1994,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[1993,238,337]),
    [iquote('hyper,1993,238,337')] ).

cnf(1996,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[1994,202,1949]),
    [iquote('hyper,1994,202,1949')] ).

cnf(1998,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1996,186,292]),
    [iquote('hyper,1996,186,292')] ).

cnf(1999,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1998,78,268]),
    [iquote('hyper,1998,78,268')] ).

cnf(2000,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[1999,2]),
    [iquote('hyper,1999,2')] ).

cnf(2001,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2000,140,1268]),
    [iquote('hyper,2000,140,1268')] ).

cnf(2007,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[1965,164,286]),
    [iquote('hyper,1965,164,286')] ).

cnf(2008,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[1966,250,1844]),
    [iquote('hyper,1966,250,1844')] ).

cnf(2009,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2008,238,337]),
    [iquote('hyper,2008,238,337')] ).

cnf(2010,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2009,134,338]),
    [iquote('hyper,2009,134,338')] ).

cnf(2011,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2010,206,320]),
    [iquote('hyper,2010,206,320')] ).

cnf(2012,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2001,210,296]),
    [iquote('hyper,2001,210,296')] ).

cnf(2018,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2007,54,262]),
    [iquote('hyper,2007,54,262')] ).

cnf(2019,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2018,224,1942]),
    [iquote('hyper,2018,224,1942')] ).

cnf(2022,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2019,200,320]),
    [iquote('hyper,2019,200,320')] ).

cnf(2024,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2022,250,1964]),
    [iquote('hyper,2022,250,1964')] ).

cnf(2025,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2024,238,337]),
    [iquote('hyper,2024,238,337')] ).

cnf(2027,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2025,160,286]),
    [iquote('hyper,2025,160,286')] ).

cnf(2029,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2027,54,262]),
    [iquote('hyper,2027,54,262')] ).

cnf(2031,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2029,140,1939]),
    [iquote('hyper,2029,140,1939')] ).

cnf(2033,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2011,250,1844]),
    [iquote('hyper,2011,250,1844')] ).

cnf(2034,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2031,202,1931]),
    [iquote('hyper,2031,202,1931')] ).

cnf(2035,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2034,184,316]),
    [iquote('hyper,2034,184,316')] ).

cnf(2036,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2035,238,1938]),
    [iquote('hyper,2035,238,1938')] ).

cnf(2038,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2036,179,326]),
    [iquote('hyper,2036,179,326')] ).

cnf(2040,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2012,96,1260]),
    [iquote('hyper,2012,96,1260')] ).

cnf(2041,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2038,222,324]),
    [iquote('hyper,2038,222,324')] ).

cnf(2042,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2041,3]),
    [iquote('hyper,2041,3')] ).

cnf(2043,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2042,252,310]),
    [iquote('hyper,2042,252,310')] ).

cnf(2044,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2033,238,337]),
    [iquote('hyper,2033,238,337')] ).

cnf(2045,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2044,186,292]),
    [iquote('hyper,2044,186,292')] ).

cnf(2046,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2045,78,268]),
    [iquote('hyper,2045,78,268')] ).

cnf(2048,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2046,2]),
    [iquote('hyper,2046,2')] ).

cnf(2049,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2048,140,1889]),
    [iquote('hyper,2048,140,1889')] ).

cnf(2051,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2040,184,316]),
    [iquote('hyper,2040,184,316')] ).

cnf(2053,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2043,164,286]),
    [iquote('hyper,2043,164,286')] ).

cnf(2054,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2051,238,1265]),
    [iquote('hyper,2051,238,1265')] ).

cnf(2056,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2054,179,326]),
    [iquote('hyper,2054,179,326')] ).

cnf(2058,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2056,222,324]),
    [iquote('hyper,2056,222,324')] ).

cnf(2061,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2053,54,262]),
    [iquote('hyper,2053,54,262')] ).

cnf(2062,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2061,224,2038]),
    [iquote('hyper,2061,224,2038')] ).

cnf(2065,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2062,200,320]),
    [iquote('hyper,2062,200,320')] ).

cnf(2067,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2065,250,2042]),
    [iquote('hyper,2065,250,2042')] ).

cnf(2068,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2067,240,306]),
    [iquote('hyper,2067,240,306')] ).

cnf(2069,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2058,3]),
    [iquote('hyper,2058,3')] ).

cnf(2072,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2069,250,1262]),
    [iquote('hyper,2069,250,1262')] ).

cnf(2074,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2072,240,306]),
    [iquote('hyper,2072,240,306')] ).

cnf(2076,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2068,140,2029]),
    [iquote('hyper,2068,140,2029')] ).

cnf(2078,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2076,202,2062]),
    [iquote('hyper,2076,202,2062')] ).

cnf(2079,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2078,184,316]),
    [iquote('hyper,2078,184,316')] ).

cnf(2080,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2079,238,2067]),
    [iquote('hyper,2079,238,2067')] ).

cnf(2082,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[2080,160,286]),
    [iquote('hyper,2080,160,286')] ).

cnf(2083,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2049,210,296]),
    [iquote('hyper,2049,210,296')] ).

cnf(2084,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[2082,54,262]),
    [iquote('hyper,2082,54,262')] ).

cnf(2085,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[2084,122,276]),
    [iquote('hyper,2084,122,276')] ).

cnf(2087,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[2085,16,1907]),
    [iquote('hyper,2085,16,1907')] ).

cnf(2090,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2087,90,333]),
    [iquote('hyper,2087,90,333')] ).

cnf(2094,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2090,254,310]),
    [iquote('hyper,2090,254,310')] ).

cnf(2095,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2090,250,1909]),
    [iquote('hyper,2090,250,1909')] ).

cnf(2098,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2095,240,306]),
    [iquote('hyper,2095,240,306')] ).

cnf(2099,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2095,238,337]),
    [iquote('hyper,2095,238,337')] ).

cnf(2101,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2099,179,326]),
    [iquote('hyper,2099,179,326')] ).

cnf(2103,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2101,222,324]),
    [iquote('hyper,2101,222,324')] ).

cnf(2105,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2103,3]),
    [iquote('hyper,2103,3')] ).

cnf(2107,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2105,250,2090]),
    [iquote('hyper,2105,250,2090')] ).

cnf(2109,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2107,238,337]),
    [iquote('hyper,2107,238,337')] ).

cnf(2111,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2109,156,2094]),
    [iquote('hyper,2109,156,2094')] ).

cnf(2115,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2111,238,337]),
    [iquote('hyper,2111,238,337')] ).

cnf(2116,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2115,228,324]),
    [iquote('hyper,2115,228,324')] ).

cnf(2118,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2116,3]),
    [iquote('hyper,2116,3')] ).

cnf(2119,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2118,250,2090]),
    [iquote('hyper,2118,250,2090')] ).

cnf(2122,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2119,238,337]),
    [iquote('hyper,2119,238,337')] ).

cnf(2124,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2122,204,296]),
    [iquote('hyper,2122,204,296')] ).

cnf(2125,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2124,90,2087]),
    [iquote('hyper,2124,90,2087')] ).

cnf(2126,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2125,162,1911]),
    [iquote('hyper,2125,162,1911')] ).

cnf(2128,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2126,232,300]),
    [iquote('hyper,2126,232,300')] ).

cnf(2129,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2128,120,276]),
    [iquote('hyper,2128,120,276')] ).

cnf(2130,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2129,16,1907]),
    [iquote('hyper,2129,16,1907')] ).

cnf(2131,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2130,200,320]),
    [iquote('hyper,2130,200,320')] ).

cnf(2132,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2131,250,1909]),
    [iquote('hyper,2131,250,1909')] ).

cnf(2133,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2132,238,337]),
    [iquote('hyper,2132,238,337')] ).

cnf(2135,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2133,179,326]),
    [iquote('hyper,2133,179,326')] ).

cnf(2137,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2135,222,324]),
    [iquote('hyper,2135,222,324')] ).

cnf(2138,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2074,140,2000]),
    [iquote('hyper,2074,140,2000')] ).

cnf(2139,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2137,3]),
    [iquote('hyper,2137,3')] ).

cnf(2140,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2139,252,310]),
    [iquote('hyper,2139,252,310')] ).

cnf(2143,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2138,210,296]),
    [iquote('hyper,2138,210,296')] ).

cnf(2144,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2140,162,2125]),
    [iquote('hyper,2140,162,2125')] ).

cnf(2145,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2144,224,2135]),
    [iquote('hyper,2144,224,2135')] ).

cnf(2146,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2145,200,320]),
    [iquote('hyper,2145,200,320')] ).

cnf(2147,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2083,96,1490]),
    [iquote('hyper,2083,96,1490')] ).

cnf(2148,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2146,250,2139]),
    [iquote('hyper,2146,250,2139')] ).

cnf(2149,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2148,238,337]),
    [iquote('hyper,2148,238,337')] ).

cnf(2151,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2149,158,2125]),
    [iquote('hyper,2149,158,2125')] ).

cnf(2153,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2151,134,338]),
    [iquote('hyper,2151,134,338')] ).

cnf(2155,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2153,206,320]),
    [iquote('hyper,2153,206,320')] ).

cnf(2156,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2155,254,310]),
    [iquote('hyper,2155,254,310')] ).

cnf(2157,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2155,250,1909]),
    [iquote('hyper,2155,250,1909')] ).

cnf(2158,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2157,238,337]),
    [iquote('hyper,2157,238,337')] ).

cnf(2159,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2158,186,292]),
    [iquote('hyper,2158,186,292')] ).

cnf(2160,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2159,78,268]),
    [iquote('hyper,2159,78,268')] ).

cnf(2161,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2160,2]),
    [iquote('hyper,2160,2')] ).

cnf(2163,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2161,179,326]),
    [iquote('hyper,2161,179,326')] ).

cnf(2166,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2163,222,324]),
    [iquote('hyper,2163,222,324')] ).

cnf(2167,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2166,3]),
    [iquote('hyper,2166,3')] ).

cnf(2169,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2167,250,2155]),
    [iquote('hyper,2167,250,2155')] ).

cnf(2170,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2169,238,337]),
    [iquote('hyper,2169,238,337')] ).

cnf(2171,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2170,186,292]),
    [iquote('hyper,2170,186,292')] ).

cnf(2172,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2171,78,268]),
    [iquote('hyper,2171,78,268')] ).

cnf(2173,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2172,2]),
    [iquote('hyper,2172,2')] ).

cnf(2176,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2143,96,1260]),
    [iquote('hyper,2143,96,1260')] ).

cnf(2177,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2176,184,316]),
    [iquote('hyper,2176,184,316')] ).

cnf(2182,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2177,238,2072]),
    [iquote('hyper,2177,238,2072')] ).

cnf(2185,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2182,156,1264]),
    [iquote('hyper,2182,156,1264')] ).

cnf(2186,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2147,184,316]),
    [iquote('hyper,2147,184,316')] ).

cnf(2187,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2156,156,2173]),
    [iquote('hyper,2156,156,2173')] ).

cnf(2189,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2187,238,337]),
    [iquote('hyper,2187,238,337')] ).

cnf(2190,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2189,228,324]),
    [iquote('hyper,2189,228,324')] ).

cnf(2192,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2190,3]),
    [iquote('hyper,2190,3')] ).

cnf(2193,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2192,250,2155]),
    [iquote('hyper,2192,250,2155')] ).

cnf(2195,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2193,238,337]),
    [iquote('hyper,2193,238,337')] ).

cnf(2197,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2195,202,2153]),
    [iquote('hyper,2195,202,2153')] ).

cnf(2198,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2197,186,292]),
    [iquote('hyper,2197,186,292')] ).

cnf(2199,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2198,78,268]),
    [iquote('hyper,2198,78,268')] ).

cnf(2200,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2199,2]),
    [iquote('hyper,2199,2')] ).

cnf(2202,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2200,140,2098]),
    [iquote('hyper,2200,140,2098')] ).

cnf(2208,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2185,240,306]),
    [iquote('hyper,2185,240,306')] ).

cnf(2209,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2186,238,1846]),
    [iquote('hyper,2186,238,1846')] ).

cnf(2210,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2209,162,1845]),
    [iquote('hyper,2209,162,1845')] ).

cnf(2214,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2202,210,296]),
    [iquote('hyper,2202,210,296')] ).

cnf(2215,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2210,224,1839]),
    [iquote('hyper,2210,224,1839')] ).

cnf(2217,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2215,200,320]),
    [iquote('hyper,2215,200,320')] ).

cnf(2218,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2214,90,2087]),
    [iquote('hyper,2214,90,2087')] ).

cnf(2219,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2218,184,316]),
    [iquote('hyper,2218,184,316')] ).

cnf(2220,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2219,238,2095]),
    [iquote('hyper,2219,238,2095')] ).

cnf(2222,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2220,179,326]),
    [iquote('hyper,2220,179,326')] ).

cnf(2224,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2222,222,324]),
    [iquote('hyper,2222,222,324')] ).

cnf(2225,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2224,3]),
    [iquote('hyper,2224,3')] ).

cnf(2228,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2225,250,2090]),
    [iquote('hyper,2225,250,2090')] ).

cnf(2230,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2228,240,306]),
    [iquote('hyper,2228,240,306')] ).

cnf(2231,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2217,250,1844]),
    [iquote('hyper,2217,250,1844')] ).

cnf(2232,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2231,240,306]),
    [iquote('hyper,2231,240,306')] ).

cnf(2233,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2230,140,2200]),
    [iquote('hyper,2230,140,2200')] ).

cnf(2234,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2233,210,296]),
    [iquote('hyper,2233,210,296')] ).

cnf(2235,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2234,90,2087]),
    [iquote('hyper,2234,90,2087')] ).

cnf(2236,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2235,184,316]),
    [iquote('hyper,2235,184,316')] ).

cnf(2237,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2236,238,2228]),
    [iquote('hyper,2236,238,2228')] ).

cnf(2240,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2237,156,2094]),
    [iquote('hyper,2237,156,2094')] ).

cnf(2242,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2240,240,306]),
    [iquote('hyper,2240,240,306')] ).

cnf(2247,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2208,140,2000]),
    [iquote('hyper,2208,140,2000')] ).

cnf(2251,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2232,140,2048]),
    [iquote('hyper,2232,140,2048')] ).

cnf(2252,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2251,202,2215]),
    [iquote('hyper,2251,202,2215')] ).

cnf(2254,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2252,184,316]),
    [iquote('hyper,2252,184,316')] ).

cnf(2255,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2254,238,2231]),
    [iquote('hyper,2254,238,2231')] ).

cnf(2256,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[2255,136,2048]),
    [iquote('hyper,2255,136,2048')] ).

cnf(2265,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2242,140,2200]),
    [iquote('hyper,2242,140,2200')] ).

cnf(2266,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2265,228,324]),
    [iquote('hyper,2265,228,324')] ).

cnf(2268,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2247,228,324]),
    [iquote('hyper,2247,228,324')] ).

cnf(2288,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2266,3]),
    [iquote('hyper,2266,3')] ).

cnf(2289,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2288,250,2090]),
    [iquote('hyper,2288,250,2090')] ).

cnf(2290,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2268,3]),
    [iquote('hyper,2268,3')] ).

cnf(2292,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2289,240,306]),
    [iquote('hyper,2289,240,306')] ).

cnf(2293,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2292,140,2200]),
    [iquote('hyper,2292,140,2200')] ).

cnf(2295,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2293,204,296]),
    [iquote('hyper,2293,204,296')] ).

cnf(2297,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2295,90,2087]),
    [iquote('hyper,2295,90,2087')] ).

cnf(2298,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2297,210,296]),
    [iquote('hyper,2297,210,296')] ).

cnf(2300,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2298,90,2087]),
    [iquote('hyper,2298,90,2087')] ).

cnf(2302,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2300,184,316]),
    [iquote('hyper,2300,184,316')] ).

cnf(2304,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2302,238,2240]),
    [iquote('hyper,2302,238,2240')] ).

cnf(2305,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2304,228,324]),
    [iquote('hyper,2304,228,324')] ).

cnf(2307,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2305,3]),
    [iquote('hyper,2305,3')] ).

cnf(2308,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2307,250,2090]),
    [iquote('hyper,2307,250,2090')] ).

cnf(2311,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2308,238,2302]),
    [iquote('hyper,2308,238,2302')] ).

cnf(2313,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2311,204,296]),
    [iquote('hyper,2311,204,296')] ).

cnf(2314,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2313,90,2087]),
    [iquote('hyper,2313,90,2087')] ).

cnf(2315,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2314,162,1911]),
    [iquote('hyper,2314,162,1911')] ).

cnf(2321,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2315,232,300]),
    [iquote('hyper,2315,232,300')] ).

cnf(2322,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2321,120,276]),
    [iquote('hyper,2321,120,276')] ).

cnf(2323,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2322,16,1907]),
    [iquote('hyper,2322,16,1907')] ).

cnf(2324,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2323,200,320]),
    [iquote('hyper,2323,200,320')] ).

cnf(2326,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2324,250,1909]),
    [iquote('hyper,2324,250,1909')] ).

cnf(2327,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2326,240,306]),
    [iquote('hyper,2326,240,306')] ).

cnf(2328,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2327,140,2200]),
    [iquote('hyper,2327,140,2200')] ).

cnf(2329,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2328,202,2323]),
    [iquote('hyper,2328,202,2323')] ).

cnf(2330,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2329,184,316]),
    [iquote('hyper,2329,184,316')] ).

cnf(2331,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2330,238,2326]),
    [iquote('hyper,2330,238,2326')] ).

cnf(2333,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2331,179,326]),
    [iquote('hyper,2331,179,326')] ).

cnf(2335,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2333,222,324]),
    [iquote('hyper,2333,222,324')] ).

cnf(2336,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2335,3]),
    [iquote('hyper,2335,3')] ).

cnf(2337,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2336,252,310]),
    [iquote('hyper,2336,252,310')] ).

cnf(2339,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2337,162,2314]),
    [iquote('hyper,2337,162,2314')] ).

cnf(2340,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2339,224,2333]),
    [iquote('hyper,2339,224,2333')] ).

cnf(2341,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2340,200,320]),
    [iquote('hyper,2340,200,320')] ).

cnf(2342,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2341,250,2336]),
    [iquote('hyper,2341,250,2336')] ).

cnf(2343,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2290,250,1262]),
    [iquote('hyper,2290,250,1262')] ).

cnf(2344,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2342,240,306]),
    [iquote('hyper,2342,240,306')] ).

cnf(2345,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2344,140,2200]),
    [iquote('hyper,2344,140,2200')] ).

cnf(2346,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2345,202,2340]),
    [iquote('hyper,2345,202,2340')] ).

cnf(2347,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2346,184,316]),
    [iquote('hyper,2346,184,316')] ).

cnf(2349,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2347,238,2342]),
    [iquote('hyper,2347,238,2342')] ).

cnf(2351,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2349,158,2314]),
    [iquote('hyper,2349,158,2314')] ).

cnf(2352,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[2351,136,2200]),
    [iquote('hyper,2351,136,2200')] ).

cnf(2353,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2352,69,327]),
    [iquote('hyper,2352,69,327')] ).

cnf(2356,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2353,226,300]),
    [iquote('hyper,2353,226,300')] ).

cnf(2357,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2353,222,324]),
    [iquote('hyper,2353,222,324')] ).

cnf(2358,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2357,3]),
    [iquote('hyper,2357,3')] ).

cnf(2359,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2358,252,310]),
    [iquote('hyper,2358,252,310')] ).

cnf(2361,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2359,164,286]),
    [iquote('hyper,2359,164,286')] ).

cnf(2362,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2361,54,262]),
    [iquote('hyper,2361,54,262')] ).

cnf(2363,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2362,224,2353]),
    [iquote('hyper,2362,224,2353')] ).

cnf(2366,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2363,200,320]),
    [iquote('hyper,2363,200,320')] ).

cnf(2367,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2366,250,2358]),
    [iquote('hyper,2366,250,2358')] ).

cnf(2368,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2367,240,306]),
    [iquote('hyper,2367,240,306')] ).

cnf(2369,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2367,238,337]),
    [iquote('hyper,2367,238,337')] ).

cnf(2374,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2368,140,2369]),
    [iquote('hyper,2368,140,2369')] ).

cnf(2377,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2374,202,2363]),
    [iquote('hyper,2374,202,2363')] ).

cnf(2378,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2377,184,316]),
    [iquote('hyper,2377,184,316')] ).

cnf(2379,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[2378,238,2367]),
    [iquote('hyper,2378,238,2367')] ).

cnf(2380,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2379,112,335]),
    [iquote('hyper,2379,112,335')] ).

cnf(2381,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2380,3]),
    [iquote('hyper,2380,3')] ).

cnf(2383,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2381,252,310]),
    [iquote('hyper,2381,252,310')] ).

cnf(2384,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2383,164,286]),
    [iquote('hyper,2383,164,286')] ).

cnf(2387,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2384,54,262]),
    [iquote('hyper,2384,54,262')] ).

cnf(2388,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2387,232,300]),
    [iquote('hyper,2387,232,300')] ).

cnf(2390,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2388,112,2379]),
    [iquote('hyper,2388,112,2379')] ).

cnf(2393,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2390,200,320]),
    [iquote('hyper,2390,200,320')] ).

cnf(2395,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2393,250,2381]),
    [iquote('hyper,2393,250,2381')] ).

cnf(2396,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2395,240,306]),
    [iquote('hyper,2395,240,306')] ).

cnf(2397,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2395,238,337]),
    [iquote('hyper,2395,238,337')] ).

cnf(2398,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2397,179,326]),
    [iquote('hyper,2397,179,326')] ).

cnf(2400,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2343,240,306]),
    [iquote('hyper,2343,240,306')] ).

cnf(2401,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2398,222,324]),
    [iquote('hyper,2398,222,324')] ).

cnf(2402,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2401,3]),
    [iquote('hyper,2401,3')] ).

cnf(2403,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2402,252,310]),
    [iquote('hyper,2402,252,310')] ).

cnf(2407,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2403,164,286]),
    [iquote('hyper,2403,164,286')] ).

cnf(2411,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2407,54,262]),
    [iquote('hyper,2407,54,262')] ).

cnf(2414,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2411,224,2398]),
    [iquote('hyper,2411,224,2398')] ).

cnf(2417,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2414,200,320]),
    [iquote('hyper,2414,200,320')] ).

cnf(2418,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2417,250,2402]),
    [iquote('hyper,2417,250,2402')] ).

cnf(2420,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2418,238,337]),
    [iquote('hyper,2418,238,337')] ).

cnf(2421,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2420,160,286]),
    [iquote('hyper,2420,160,286')] ).

cnf(2422,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2421,54,262]),
    [iquote('hyper,2421,54,262')] ).

cnf(2424,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2422,140,2396]),
    [iquote('hyper,2422,140,2396')] ).

cnf(2427,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2424,202,2390]),
    [iquote('hyper,2424,202,2390')] ).

cnf(2428,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2427,184,316]),
    [iquote('hyper,2427,184,316')] ).

cnf(2429,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2428,238,2395]),
    [iquote('hyper,2428,238,2395')] ).

cnf(2430,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2429,179,326]),
    [iquote('hyper,2429,179,326')] ).

cnf(2431,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2430,222,324]),
    [iquote('hyper,2430,222,324')] ).

cnf(2432,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2431,3]),
    [iquote('hyper,2431,3')] ).

cnf(2434,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2432,252,310]),
    [iquote('hyper,2432,252,310')] ).

cnf(2435,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2434,164,286]),
    [iquote('hyper,2434,164,286')] ).

cnf(2436,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2435,54,262]),
    [iquote('hyper,2435,54,262')] ).

cnf(2437,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2436,224,2430]),
    [iquote('hyper,2436,224,2430')] ).

cnf(2440,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2437,200,320]),
    [iquote('hyper,2437,200,320')] ).

cnf(2441,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2440,250,2432]),
    [iquote('hyper,2440,250,2432')] ).

cnf(2442,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2441,240,306]),
    [iquote('hyper,2441,240,306')] ).

cnf(2447,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2442,140,2422]),
    [iquote('hyper,2442,140,2422')] ).

cnf(2448,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2447,202,2437]),
    [iquote('hyper,2447,202,2437')] ).

cnf(2449,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2448,184,316]),
    [iquote('hyper,2448,184,316')] ).

cnf(2451,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2449,238,2441]),
    [iquote('hyper,2449,238,2441')] ).

cnf(2452,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[2451,160,286]),
    [iquote('hyper,2451,160,286')] ).

cnf(2453,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[2452,54,262]),
    [iquote('hyper,2452,54,262')] ).

cnf(2454,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2453,118,2356]),
    [iquote('hyper,2453,118,2356')] ).

cnf(2456,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[2453,114,2256]),
    [iquote('hyper,2453,114,2256')] ).

cnf(2458,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_6
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2454,183,290]),
    [iquote('hyper,2454,183,290')] ).

cnf(2460,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[2456,92,1490]),
    [iquote('hyper,2456,92,1490')] ).

cnf(2461,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[2460,76,268]),
    [iquote('hyper,2460,76,268')] ).

cnf(2462,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[2461,2]),
    [iquote('hyper,2461,2')] ).

cnf(2463,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2400,140,2000]),
    [iquote('hyper,2400,140,2000')] ).

cnf(2464,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[2462,50,262]),
    [iquote('hyper,2462,50,262')] ).

cnf(2465,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3
    | horizontal_1_4 ),
    inference(hyper,[status(thm)],[2464,34,258]),
    [iquote('hyper,2464,34,258')] ).

cnf(2466,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_1_3 ),
    inference(hyper,[status(thm)],[2465,18,1041]),
    [iquote('hyper,2465,18,1041')] ).

cnf(2469,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2466,6,355]),
    [iquote('hyper,2466,6,355')] ).

cnf(2472,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2458,69,2352]),
    [iquote('hyper,2458,69,2352')] ).

cnf(2473,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2472,156,2359]),
    [iquote('hyper,2472,156,2359')] ).

cnf(2484,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2473,224,2353]),
    [iquote('hyper,2473,224,2353')] ).

cnf(2486,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2484,200,320]),
    [iquote('hyper,2484,200,320')] ).

cnf(2488,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2463,204,296]),
    [iquote('hyper,2463,204,296')] ).

cnf(2491,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2486,250,2358]),
    [iquote('hyper,2486,250,2358')] ).

cnf(2492,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2491,240,306]),
    [iquote('hyper,2491,240,306')] ).

cnf(2493,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2491,238,337]),
    [iquote('hyper,2491,238,337')] ).

cnf(2495,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2469,186,292]),
    [iquote('hyper,2469,186,292')] ).

cnf(2503,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2492,140,2493]),
    [iquote('hyper,2492,140,2493')] ).

cnf(2504,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2503,202,2484]),
    [iquote('hyper,2503,202,2484')] ).

cnf(2505,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2504,184,316]),
    [iquote('hyper,2504,184,316')] ).

cnf(2506,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[2505,238,2491]),
    [iquote('hyper,2505,238,2491')] ).

cnf(2508,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[2506,114,2453]),
    [iquote('hyper,2506,114,2453')] ).

cnf(2511,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2508,90,333]),
    [iquote('hyper,2508,90,333')] ).

cnf(2515,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2511,254,310]),
    [iquote('hyper,2511,254,310')] ).

cnf(2516,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2511,250,2358]),
    [iquote('hyper,2511,250,2358')] ).

cnf(2519,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2516,240,306]),
    [iquote('hyper,2516,240,306')] ).

cnf(2520,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2516,238,337]),
    [iquote('hyper,2516,238,337')] ).

cnf(2521,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2520,162,2359]),
    [iquote('hyper,2520,162,2359')] ).

cnf(2528,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2521,224,2353]),
    [iquote('hyper,2521,224,2353')] ).

cnf(2529,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2528,200,320]),
    [iquote('hyper,2528,200,320')] ).

cnf(2531,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2529,250,2358]),
    [iquote('hyper,2529,250,2358')] ).

cnf(2532,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2531,238,337]),
    [iquote('hyper,2531,238,337')] ).

cnf(2534,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2532,134,338]),
    [iquote('hyper,2532,134,338')] ).

cnf(2535,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2534,206,320]),
    [iquote('hyper,2534,206,320')] ).

cnf(2537,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2535,250,2358]),
    [iquote('hyper,2535,250,2358')] ).

cnf(2538,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2537,238,337]),
    [iquote('hyper,2537,238,337')] ).

cnf(2539,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2538,186,292]),
    [iquote('hyper,2538,186,292')] ).

cnf(2540,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2488,96,1260]),
    [iquote('hyper,2488,96,1260')] ).

cnf(2541,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2539,78,268]),
    [iquote('hyper,2539,78,268')] ).

cnf(2542,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2541,2]),
    [iquote('hyper,2541,2')] ).

cnf(2545,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2495,78,268]),
    [iquote('hyper,2495,78,268')] ).

cnf(2546,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2519,140,2542]),
    [iquote('hyper,2519,140,2542')] ).

cnf(2547,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2546,210,296]),
    [iquote('hyper,2546,210,296')] ).

cnf(2548,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2547,90,2508]),
    [iquote('hyper,2547,90,2508')] ).

cnf(2549,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2548,184,316]),
    [iquote('hyper,2548,184,316')] ).

cnf(2550,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2549,238,2516]),
    [iquote('hyper,2549,238,2516')] ).

cnf(2551,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2550,162,2359]),
    [iquote('hyper,2550,162,2359')] ).

cnf(2552,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2551,224,2353]),
    [iquote('hyper,2551,224,2353')] ).

cnf(2553,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2552,200,320]),
    [iquote('hyper,2552,200,320')] ).

cnf(2554,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2553,250,2358]),
    [iquote('hyper,2553,250,2358')] ).

cnf(2555,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2554,240,306]),
    [iquote('hyper,2554,240,306')] ).

cnf(2556,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2555,140,2542]),
    [iquote('hyper,2555,140,2542')] ).

cnf(2557,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2556,202,2552]),
    [iquote('hyper,2556,202,2552')] ).

cnf(2558,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2557,184,316]),
    [iquote('hyper,2557,184,316')] ).

cnf(2560,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2558,238,2554]),
    [iquote('hyper,2558,238,2554')] ).

cnf(2561,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[2560,136,2542]),
    [iquote('hyper,2560,136,2542')] ).

cnf(2562,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2561,112,335]),
    [iquote('hyper,2561,112,335')] ).

cnf(2563,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2562,3]),
    [iquote('hyper,2562,3')] ).

cnf(2566,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2563,252,310]),
    [iquote('hyper,2563,252,310')] ).

cnf(2567,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2563,250,2511]),
    [iquote('hyper,2563,250,2511')] ).

cnf(2569,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2567,240,306]),
    [iquote('hyper,2567,240,306')] ).

cnf(2570,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2567,238,337]),
    [iquote('hyper,2567,238,337')] ).

cnf(2572,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2570,179,326]),
    [iquote('hyper,2570,179,326')] ).

cnf(2573,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2572,222,324]),
    [iquote('hyper,2572,222,324')] ).

cnf(2577,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2540,210,296]),
    [iquote('hyper,2540,210,296')] ).

cnf(2580,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2573,3]),
    [iquote('hyper,2573,3')] ).

cnf(2582,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2580,250,2511]),
    [iquote('hyper,2580,250,2511')] ).

cnf(2584,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2582,238,337]),
    [iquote('hyper,2582,238,337')] ).

cnf(2585,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2584,156,2515]),
    [iquote('hyper,2584,156,2515')] ).

cnf(2589,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2577,96,1260]),
    [iquote('hyper,2577,96,1260')] ).

cnf(2591,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2589,184,316]),
    [iquote('hyper,2589,184,316')] ).

cnf(2592,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2591,238,2185]),
    [iquote('hyper,2591,238,2185')] ).

cnf(2593,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2545,2]),
    [iquote('hyper,2545,2')] ).

cnf(2595,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2585,238,337]),
    [iquote('hyper,2585,238,337')] ).

cnf(2596,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2595,228,324]),
    [iquote('hyper,2595,228,324')] ).

cnf(2598,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2592,228,324]),
    [iquote('hyper,2592,228,324')] ).

cnf(2601,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2593,162,365]),
    [iquote('hyper,2593,162,365')] ).

cnf(2603,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2596,3]),
    [iquote('hyper,2596,3')] ).

cnf(2604,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2603,250,2511]),
    [iquote('hyper,2603,250,2511')] ).

cnf(2606,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2604,238,337]),
    [iquote('hyper,2604,238,337')] ).

cnf(2608,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2606,204,296]),
    [iquote('hyper,2606,204,296')] ).

cnf(2610,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2608,90,2508]),
    [iquote('hyper,2608,90,2508')] ).

cnf(2611,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2610,162,2566]),
    [iquote('hyper,2610,162,2566')] ).

cnf(2612,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2611,232,300]),
    [iquote('hyper,2611,232,300')] ).

cnf(2613,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2612,112,2561]),
    [iquote('hyper,2612,112,2561')] ).

cnf(2614,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2613,200,320]),
    [iquote('hyper,2613,200,320')] ).

cnf(2615,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2614,250,2563]),
    [iquote('hyper,2614,250,2563')] ).

cnf(2616,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2615,238,337]),
    [iquote('hyper,2615,238,337')] ).

cnf(2617,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2616,179,326]),
    [iquote('hyper,2616,179,326')] ).

cnf(2619,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2617,222,324]),
    [iquote('hyper,2617,222,324')] ).

cnf(2620,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2619,3]),
    [iquote('hyper,2619,3')] ).

cnf(2621,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2620,252,310]),
    [iquote('hyper,2620,252,310')] ).

cnf(2622,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2621,162,2610]),
    [iquote('hyper,2621,162,2610')] ).

cnf(2623,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2622,224,2617]),
    [iquote('hyper,2622,224,2617')] ).

cnf(2624,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2623,200,320]),
    [iquote('hyper,2623,200,320')] ).

cnf(2625,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2624,250,2620]),
    [iquote('hyper,2624,250,2620')] ).

cnf(2626,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2625,238,337]),
    [iquote('hyper,2625,238,337')] ).

cnf(2628,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2626,158,2610]),
    [iquote('hyper,2626,158,2610')] ).

cnf(2630,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2628,134,338]),
    [iquote('hyper,2628,134,338')] ).

cnf(2631,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2630,206,320]),
    [iquote('hyper,2630,206,320')] ).

cnf(2633,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2631,254,310]),
    [iquote('hyper,2631,254,310')] ).

cnf(2634,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2631,250,2563]),
    [iquote('hyper,2631,250,2563')] ).

cnf(2635,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2634,238,337]),
    [iquote('hyper,2634,238,337')] ).

cnf(2636,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2635,186,292]),
    [iquote('hyper,2635,186,292')] ).

cnf(2637,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2636,78,268]),
    [iquote('hyper,2636,78,268')] ).

cnf(2640,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2637,2]),
    [iquote('hyper,2637,2')] ).

cnf(2641,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2640,179,326]),
    [iquote('hyper,2640,179,326')] ).

cnf(2642,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2641,222,324]),
    [iquote('hyper,2641,222,324')] ).

cnf(2643,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2642,3]),
    [iquote('hyper,2642,3')] ).

cnf(2645,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2643,250,2631]),
    [iquote('hyper,2643,250,2631')] ).

cnf(2646,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2645,238,337]),
    [iquote('hyper,2645,238,337')] ).

cnf(2647,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2646,186,292]),
    [iquote('hyper,2646,186,292')] ).

cnf(2648,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2647,78,268]),
    [iquote('hyper,2647,78,268')] ).

cnf(2650,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2648,2]),
    [iquote('hyper,2648,2')] ).

cnf(2651,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2633,156,2650]),
    [iquote('hyper,2633,156,2650')] ).

cnf(2652,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2651,238,337]),
    [iquote('hyper,2651,238,337')] ).

cnf(2653,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2652,228,324]),
    [iquote('hyper,2652,228,324')] ).

cnf(2655,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2653,3]),
    [iquote('hyper,2653,3')] ).

cnf(2656,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2655,250,2631]),
    [iquote('hyper,2655,250,2631')] ).

cnf(2657,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2656,238,337]),
    [iquote('hyper,2656,238,337')] ).

cnf(2658,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2598,3]),
    [iquote('hyper,2598,3')] ).

cnf(2660,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2657,202,2630]),
    [iquote('hyper,2657,202,2630')] ).

cnf(2661,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2660,186,292]),
    [iquote('hyper,2660,186,292')] ).

cnf(2662,plain,
    ( vertical_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2661,78,268]),
    [iquote('hyper,2661,78,268')] ).

cnf(2663,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2662,2]),
    [iquote('hyper,2662,2')] ).

cnf(2665,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2663,140,2569]),
    [iquote('hyper,2663,140,2569')] ).

cnf(2668,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2601,238,337]),
    [iquote('hyper,2601,238,337')] ).

cnf(2669,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2658,250,1262]),
    [iquote('hyper,2658,250,1262')] ).

cnf(2670,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2665,210,296]),
    [iquote('hyper,2665,210,296')] ).

cnf(2672,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2669,238,2591]),
    [iquote('hyper,2669,238,2591')] ).

cnf(2674,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2672,204,296]),
    [iquote('hyper,2672,204,296')] ).

cnf(2675,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2674,96,1260]),
    [iquote('hyper,2674,96,1260')] ).

cnf(2676,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2675,166,286]),
    [iquote('hyper,2675,166,286')] ).

cnf(2677,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2675,162,1046]),
    [iquote('hyper,2675,162,1046')] ).

cnf(2678,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2670,90,2508]),
    [iquote('hyper,2670,90,2508')] ).

cnf(2679,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2678,184,316]),
    [iquote('hyper,2678,184,316')] ).

cnf(2682,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2679,238,2567]),
    [iquote('hyper,2679,238,2567')] ).

cnf(2683,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2682,179,326]),
    [iquote('hyper,2682,179,326')] ).

cnf(2684,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2683,222,324]),
    [iquote('hyper,2683,222,324')] ).

cnf(2685,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2684,3]),
    [iquote('hyper,2684,3')] ).

cnf(2687,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2685,250,2511]),
    [iquote('hyper,2685,250,2511')] ).

cnf(2689,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2687,240,306]),
    [iquote('hyper,2687,240,306')] ).

cnf(2691,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2689,140,2663]),
    [iquote('hyper,2689,140,2663')] ).

cnf(2692,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2691,210,296]),
    [iquote('hyper,2691,210,296')] ).

cnf(2693,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2692,90,2508]),
    [iquote('hyper,2692,90,2508')] ).

cnf(2694,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2693,184,316]),
    [iquote('hyper,2693,184,316')] ).

cnf(2695,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2694,238,2687]),
    [iquote('hyper,2694,238,2687')] ).

cnf(2696,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2695,156,2515]),
    [iquote('hyper,2695,156,2515')] ).

cnf(2698,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2696,240,306]),
    [iquote('hyper,2696,240,306')] ).

cnf(2706,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2668,228,324]),
    [iquote('hyper,2668,228,324')] ).

cnf(2709,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2677,232,300]),
    [iquote('hyper,2677,232,300')] ).

cnf(2710,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2698,140,2663]),
    [iquote('hyper,2698,140,2663')] ).

cnf(2711,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2710,228,324]),
    [iquote('hyper,2710,228,324')] ).

cnf(2727,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2706,3]),
    [iquote('hyper,2706,3')] ).

cnf(2728,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2709,120,276]),
    [iquote('hyper,2709,120,276')] ).

cnf(2729,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2711,3]),
    [iquote('hyper,2711,3')] ).

cnf(2730,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2729,250,2511]),
    [iquote('hyper,2729,250,2511')] ).

cnf(2732,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2730,240,306]),
    [iquote('hyper,2730,240,306')] ).

cnf(2734,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2732,140,2663]),
    [iquote('hyper,2732,140,2663')] ).

cnf(2736,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2734,204,296]),
    [iquote('hyper,2734,204,296')] ).

cnf(2737,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2736,90,2508]),
    [iquote('hyper,2736,90,2508')] ).

cnf(2739,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2737,210,296]),
    [iquote('hyper,2737,210,296')] ).

cnf(2741,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2739,90,2508]),
    [iquote('hyper,2739,90,2508')] ).

cnf(2743,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2741,184,316]),
    [iquote('hyper,2741,184,316')] ).

cnf(2744,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2743,238,2696]),
    [iquote('hyper,2743,238,2696')] ).

cnf(2746,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2744,228,324]),
    [iquote('hyper,2744,228,324')] ).

cnf(2748,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2746,3]),
    [iquote('hyper,2746,3')] ).

cnf(2749,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2748,250,2511]),
    [iquote('hyper,2748,250,2511')] ).

cnf(2751,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2749,238,2743]),
    [iquote('hyper,2749,238,2743')] ).

cnf(2754,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2751,204,296]),
    [iquote('hyper,2751,204,296')] ).

cnf(2755,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[2754,90,2508]),
    [iquote('hyper,2754,90,2508')] ).

cnf(2756,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2755,162,2566]),
    [iquote('hyper,2755,162,2566')] ).

cnf(2757,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2756,232,300]),
    [iquote('hyper,2756,232,300')] ).

cnf(2758,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2727,250,352]),
    [iquote('hyper,2727,250,352')] ).

cnf(2759,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2757,112,2561]),
    [iquote('hyper,2757,112,2561')] ).

cnf(2760,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2759,200,320]),
    [iquote('hyper,2759,200,320')] ).

cnf(2761,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2760,250,2563]),
    [iquote('hyper,2760,250,2563')] ).

cnf(2762,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2761,240,306]),
    [iquote('hyper,2761,240,306')] ).

cnf(2763,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2728,16,1041]),
    [iquote('hyper,2728,16,1041')] ).

cnf(2764,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2762,140,2663]),
    [iquote('hyper,2762,140,2663')] ).

cnf(2765,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2764,202,2759]),
    [iquote('hyper,2764,202,2759')] ).

cnf(2766,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2765,184,316]),
    [iquote('hyper,2765,184,316')] ).

cnf(2767,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2766,238,2761]),
    [iquote('hyper,2766,238,2761')] ).

cnf(2771,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2767,179,326]),
    [iquote('hyper,2767,179,326')] ).

cnf(2772,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2771,222,324]),
    [iquote('hyper,2771,222,324')] ).

cnf(2773,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2772,3]),
    [iquote('hyper,2772,3')] ).

cnf(2774,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2773,252,310]),
    [iquote('hyper,2773,252,310')] ).

cnf(2779,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2774,162,2755]),
    [iquote('hyper,2774,162,2755')] ).

cnf(2780,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2779,224,2771]),
    [iquote('hyper,2779,224,2771')] ).

cnf(2781,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2780,200,320]),
    [iquote('hyper,2780,200,320')] ).

cnf(2782,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2781,250,2773]),
    [iquote('hyper,2781,250,2773')] ).

cnf(2785,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2782,240,306]),
    [iquote('hyper,2782,240,306')] ).

cnf(2786,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2785,140,2663]),
    [iquote('hyper,2785,140,2663')] ).

cnf(2787,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2786,202,2780]),
    [iquote('hyper,2786,202,2780')] ).

cnf(2788,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2787,184,316]),
    [iquote('hyper,2787,184,316')] ).

cnf(2790,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2788,238,2782]),
    [iquote('hyper,2788,238,2782')] ).

cnf(2791,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2790,158,2755]),
    [iquote('hyper,2790,158,2755')] ).

cnf(2792,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[2791,136,2663]),
    [iquote('hyper,2791,136,2663')] ).

cnf(2793,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[2792,50,262]),
    [iquote('hyper,2792,50,262')] ).

cnf(2794,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2758,238,337]),
    [iquote('hyper,2758,238,337')] ).

cnf(2795,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2793,30,1962]),
    [iquote('hyper,2793,30,1962')] ).

cnf(2796,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2763,200,320]),
    [iquote('hyper,2763,200,320')] ).

cnf(2808,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2794,202,349]),
    [iquote('hyper,2794,202,349')] ).

cnf(2810,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2808,186,292]),
    [iquote('hyper,2808,186,292')] ).

cnf(2812,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2810,78,268]),
    [iquote('hyper,2810,78,268')] ).

cnf(2813,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2812,2]),
    [iquote('hyper,2812,2')] ).

cnf(2815,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2813,138,282]),
    [iquote('hyper,2813,138,282')] ).

cnf(2816,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2815,32,258]),
    [iquote('hyper,2815,32,258')] ).

cnf(2817,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[2816,144,282]),
    [iquote('hyper,2816,144,282')] ).

cnf(2819,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[2817,32,258]),
    [iquote('hyper,2817,32,258')] ).

cnf(2820,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | vertical_1_3
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[2819,100,272]),
    [iquote('hyper,2819,100,272')] ).

cnf(2821,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2795,202,1931]),
    [iquote('hyper,2795,202,1931')] ).

cnf(2822,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[2820,6,2466]),
    [iquote('hyper,2820,6,2466')] ).

cnf(2823,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[2822,76,268]),
    [iquote('hyper,2822,76,268')] ).

cnf(2824,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[2823,2]),
    [iquote('hyper,2823,2')] ).

cnf(2825,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2824,52,2676]),
    [iquote('hyper,2824,52,2676')] ).

cnf(2828,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2796,250,1044]),
    [iquote('hyper,2796,250,1044')] ).

cnf(2829,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[2825,136,2000]),
    [iquote('hyper,2825,136,2000')] ).

cnf(2830,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | vertical_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[2829,122,276]),
    [iquote('hyper,2829,122,276')] ).

cnf(2832,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[2830,16,1041]),
    [iquote('hyper,2830,16,1041')] ).

cnf(2834,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[2832,92,1260]),
    [iquote('hyper,2832,92,1260')] ).

cnf(2838,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[2834,76,268]),
    [iquote('hyper,2834,76,268')] ).

cnf(2839,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[2838,2]),
    [iquote('hyper,2838,2')] ).

cnf(2840,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2839,69,327]),
    [iquote('hyper,2839,69,327')] ).

cnf(2843,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2840,222,324]),
    [iquote('hyper,2840,222,324')] ).

cnf(2846,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2821,184,316]),
    [iquote('hyper,2821,184,316')] ).

cnf(2847,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2843,3]),
    [iquote('hyper,2843,3')] ).

cnf(2848,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_5
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2847,252,310]),
    [iquote('hyper,2847,252,310')] ).

cnf(2851,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2848,164,286]),
    [iquote('hyper,2848,164,286')] ).

cnf(2852,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2828,240,306]),
    [iquote('hyper,2828,240,306')] ).

cnf(2853,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2846,238,1938]),
    [iquote('hyper,2846,238,1938')] ).

cnf(2855,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2853,179,326]),
    [iquote('hyper,2853,179,326')] ).

cnf(2857,plain,
    ( horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2855,222,324]),
    [iquote('hyper,2855,222,324')] ).

cnf(2868,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2851,52,2824]),
    [iquote('hyper,2851,52,2824')] ).

cnf(2869,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2868,224,2840]),
    [iquote('hyper,2868,224,2840')] ).

cnf(2872,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2869,200,320]),
    [iquote('hyper,2869,200,320')] ).

cnf(2873,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2872,250,2847]),
    [iquote('hyper,2872,250,2847')] ).

cnf(2878,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2873,240,306]),
    [iquote('hyper,2873,240,306')] ).

cnf(2879,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2873,238,337]),
    [iquote('hyper,2873,238,337')] ).

cnf(2881,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2852,140,2000]),
    [iquote('hyper,2852,140,2000')] ).

cnf(2882,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2857,3]),
    [iquote('hyper,2857,3')] ).

cnf(2883,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2882,252,310]),
    [iquote('hyper,2882,252,310')] ).

cnf(2889,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2878,140,2879]),
    [iquote('hyper,2878,140,2879')] ).

cnf(2891,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2889,202,2869]),
    [iquote('hyper,2889,202,2869')] ).

cnf(2892,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2891,184,316]),
    [iquote('hyper,2891,184,316')] ).

cnf(2893,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[2892,238,2873]),
    [iquote('hyper,2892,238,2873')] ).

cnf(2894,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2893,112,335]),
    [iquote('hyper,2893,112,335')] ).

cnf(2896,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2881,202,2763]),
    [iquote('hyper,2881,202,2763')] ).

cnf(2897,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2896,184,316]),
    [iquote('hyper,2896,184,316')] ).

cnf(2898,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2897,238,2828]),
    [iquote('hyper,2897,238,2828')] ).

cnf(2900,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2898,179,326]),
    [iquote('hyper,2898,179,326')] ).

cnf(2902,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2900,222,324]),
    [iquote('hyper,2900,222,324')] ).

cnf(2903,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2902,3]),
    [iquote('hyper,2902,3')] ).

cnf(2904,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2903,252,310]),
    [iquote('hyper,2903,252,310')] ).

cnf(2905,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2883,164,286]),
    [iquote('hyper,2883,164,286')] ).

cnf(2906,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2894,3]),
    [iquote('hyper,2894,3')] ).

cnf(2908,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2906,252,310]),
    [iquote('hyper,2906,252,310')] ).

cnf(2909,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2904,162,2675]),
    [iquote('hyper,2904,162,2675')] ).

cnf(2912,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2909,224,2900]),
    [iquote('hyper,2909,224,2900')] ).

cnf(2913,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2912,200,320]),
    [iquote('hyper,2912,200,320')] ).

cnf(2914,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2913,250,2903]),
    [iquote('hyper,2913,250,2903')] ).

cnf(2915,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2914,240,306]),
    [iquote('hyper,2914,240,306')] ).

cnf(2916,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2915,140,2000]),
    [iquote('hyper,2915,140,2000')] ).

cnf(2917,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2916,202,2912]),
    [iquote('hyper,2916,202,2912')] ).

cnf(2918,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[2917,184,316]),
    [iquote('hyper,2917,184,316')] ).

cnf(2919,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2918,238,2914]),
    [iquote('hyper,2918,238,2914')] ).

cnf(2922,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[2919,158,2675]),
    [iquote('hyper,2919,158,2675')] ).

cnf(2923,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[2922,136,2000]),
    [iquote('hyper,2922,136,2000')] ).

cnf(2924,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[2923,76,268]),
    [iquote('hyper,2923,76,268')] ).

cnf(2925,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[2924,2]),
    [iquote('hyper,2924,2')] ).

cnf(2927,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2925,69,327]),
    [iquote('hyper,2925,69,327')] ).

cnf(2930,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2927,222,324]),
    [iquote('hyper,2927,222,324')] ).

cnf(2931,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2930,3]),
    [iquote('hyper,2930,3')] ).

cnf(2933,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_5
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2931,252,310]),
    [iquote('hyper,2931,252,310')] ).

cnf(2934,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2931,250,352]),
    [iquote('hyper,2931,250,352')] ).

cnf(2936,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2934,238,337]),
    [iquote('hyper,2934,238,337')] ).

cnf(2937,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2905,54,262]),
    [iquote('hyper,2905,54,262')] ).

cnf(2939,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2936,186,292]),
    [iquote('hyper,2936,186,292')] ).

cnf(2940,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2939,78,268]),
    [iquote('hyper,2939,78,268')] ).

cnf(2941,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[2940,2]),
    [iquote('hyper,2940,2')] ).

cnf(2942,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[2941,144,282]),
    [iquote('hyper,2941,144,282')] ).

cnf(2944,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[2942,32,258]),
    [iquote('hyper,2942,32,258')] ).

cnf(2945,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2944,112,335]),
    [iquote('hyper,2944,112,335')] ).

cnf(2946,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2945,3]),
    [iquote('hyper,2945,3')] ).

cnf(2947,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2908,164,286]),
    [iquote('hyper,2908,164,286')] ).

cnf(2950,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2946,250,352]),
    [iquote('hyper,2946,250,352')] ).

cnf(2953,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2937,224,2855]),
    [iquote('hyper,2937,224,2855')] ).

cnf(2956,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[2953,200,320]),
    [iquote('hyper,2953,200,320')] ).

cnf(2959,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2950,238,337]),
    [iquote('hyper,2950,238,337')] ).

cnf(2961,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2959,186,292]),
    [iquote('hyper,2959,186,292')] ).

cnf(2964,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2961,78,268]),
    [iquote('hyper,2961,78,268')] ).

cnf(2965,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[2964,2]),
    [iquote('hyper,2964,2')] ).

cnf(2966,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[2965,179,326]),
    [iquote('hyper,2965,179,326')] ).

cnf(2968,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2966,222,324]),
    [iquote('hyper,2966,222,324')] ).

cnf(2970,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[2968,3]),
    [iquote('hyper,2968,3')] ).

cnf(2972,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2970,250,352]),
    [iquote('hyper,2970,250,352')] ).

cnf(2973,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[2972,238,337]),
    [iquote('hyper,2972,238,337')] ).

cnf(2975,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2973,186,292]),
    [iquote('hyper,2973,186,292')] ).

cnf(2976,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2947,52,2824]),
    [iquote('hyper,2947,52,2824')] ).

cnf(2977,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2975,78,268]),
    [iquote('hyper,2975,78,268')] ).

cnf(2978,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[2977,2]),
    [iquote('hyper,2977,2')] ).

cnf(2980,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2978,156,365]),
    [iquote('hyper,2978,156,365')] ).

cnf(2990,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[2956,250,2882]),
    [iquote('hyper,2956,250,2882')] ).

cnf(2991,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2990,240,306]),
    [iquote('hyper,2990,240,306')] ).

cnf(3004,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[2976,232,300]),
    [iquote('hyper,2976,232,300')] ).

cnf(3006,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[2980,238,337]),
    [iquote('hyper,2980,238,337')] ).

cnf(3007,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3006,228,324]),
    [iquote('hyper,3006,228,324')] ).

cnf(3024,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3004,112,2893]),
    [iquote('hyper,3004,112,2893')] ).

cnf(3027,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3024,200,320]),
    [iquote('hyper,3024,200,320')] ).

cnf(3028,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3007,3]),
    [iquote('hyper,3007,3')] ).

cnf(3029,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3028,250,352]),
    [iquote('hyper,3028,250,352')] ).

cnf(3030,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3029,238,337]),
    [iquote('hyper,3029,238,337')] ).

cnf(3032,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3030,202,349]),
    [iquote('hyper,3030,202,349')] ).

cnf(3033,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[2991,142,282]),
    [iquote('hyper,2991,142,282')] ).

cnf(3035,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3032,186,292]),
    [iquote('hyper,3032,186,292')] ).

cnf(3036,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3035,78,268]),
    [iquote('hyper,3035,78,268')] ).

cnf(3037,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3036,2]),
    [iquote('hyper,3036,2')] ).

cnf(3038,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | vertical_2_2
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[3037,144,282]),
    [iquote('hyper,3037,144,282')] ).

cnf(3040,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[3038,32,258]),
    [iquote('hyper,3038,32,258')] ).

cnf(3041,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3040,96,333]),
    [iquote('hyper,3040,96,333')] ).

cnf(3042,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3041,254,310]),
    [iquote('hyper,3041,254,310')] ).

cnf(3043,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3041,250,2931]),
    [iquote('hyper,3041,250,2931')] ).

cnf(3047,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3043,240,306]),
    [iquote('hyper,3043,240,306')] ).

cnf(3048,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3043,238,337]),
    [iquote('hyper,3043,238,337')] ).

cnf(3051,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3048,162,2933]),
    [iquote('hyper,3048,162,2933')] ).

cnf(3052,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3051,224,2927]),
    [iquote('hyper,3051,224,2927')] ).

cnf(3053,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3052,200,320]),
    [iquote('hyper,3052,200,320')] ).

cnf(3054,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3053,250,2931]),
    [iquote('hyper,3053,250,2931')] ).

cnf(3055,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3054,238,337]),
    [iquote('hyper,3054,238,337')] ).

cnf(3056,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3055,134,338]),
    [iquote('hyper,3055,134,338')] ).

cnf(3057,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3056,206,320]),
    [iquote('hyper,3056,206,320')] ).

cnf(3058,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3057,250,2931]),
    [iquote('hyper,3057,250,2931')] ).

cnf(3059,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3058,238,337]),
    [iquote('hyper,3058,238,337')] ).

cnf(3060,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3059,186,292]),
    [iquote('hyper,3059,186,292')] ).

cnf(3061,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3060,78,268]),
    [iquote('hyper,3060,78,268')] ).

cnf(3062,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3061,2]),
    [iquote('hyper,3061,2')] ).

cnf(3065,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3027,250,2906]),
    [iquote('hyper,3027,250,2906')] ).

cnf(3067,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3065,238,337]),
    [iquote('hyper,3065,238,337')] ).

cnf(3068,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3067,179,326]),
    [iquote('hyper,3067,179,326')] ).

cnf(3069,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3068,222,324]),
    [iquote('hyper,3068,222,324')] ).

cnf(3071,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3047,140,3062]),
    [iquote('hyper,3047,140,3062')] ).

cnf(3072,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3071,210,296]),
    [iquote('hyper,3071,210,296')] ).

cnf(3074,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3072,96,3040]),
    [iquote('hyper,3072,96,3040')] ).

cnf(3075,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3074,184,316]),
    [iquote('hyper,3074,184,316')] ).

cnf(3076,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3075,238,3043]),
    [iquote('hyper,3075,238,3043')] ).

cnf(3078,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3076,162,2933]),
    [iquote('hyper,3076,162,2933')] ).

cnf(3079,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3033,30,2793]),
    [iquote('hyper,3033,30,2793')] ).

cnf(3080,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3078,224,2927]),
    [iquote('hyper,3078,224,2927')] ).

cnf(3081,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3080,200,320]),
    [iquote('hyper,3080,200,320')] ).

cnf(3082,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3081,250,2931]),
    [iquote('hyper,3081,250,2931')] ).

cnf(3083,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3082,240,306]),
    [iquote('hyper,3082,240,306')] ).

cnf(3086,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3083,140,3062]),
    [iquote('hyper,3083,140,3062')] ).

cnf(3087,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3086,202,3080]),
    [iquote('hyper,3086,202,3080')] ).

cnf(3088,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3087,184,316]),
    [iquote('hyper,3087,184,316')] ).

cnf(3091,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3088,238,3082]),
    [iquote('hyper,3088,238,3082')] ).

cnf(3092,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[3091,136,3062]),
    [iquote('hyper,3091,136,3062')] ).

cnf(3093,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3092,112,335]),
    [iquote('hyper,3092,112,335')] ).

cnf(3094,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3093,3]),
    [iquote('hyper,3093,3')] ).

cnf(3096,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3094,252,310]),
    [iquote('hyper,3094,252,310')] ).

cnf(3097,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3094,250,3041]),
    [iquote('hyper,3094,250,3041')] ).

cnf(3100,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3097,240,306]),
    [iquote('hyper,3097,240,306')] ).

cnf(3101,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3097,238,337]),
    [iquote('hyper,3097,238,337')] ).

cnf(3102,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3069,3]),
    [iquote('hyper,3069,3')] ).

cnf(3103,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3101,179,326]),
    [iquote('hyper,3101,179,326')] ).

cnf(3104,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3102,252,310]),
    [iquote('hyper,3102,252,310')] ).

cnf(3106,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3103,222,324]),
    [iquote('hyper,3103,222,324')] ).

cnf(3107,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3079,202,2953]),
    [iquote('hyper,3079,202,2953')] ).

cnf(3111,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3107,184,316]),
    [iquote('hyper,3107,184,316')] ).

cnf(3112,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3111,238,2990]),
    [iquote('hyper,3111,238,2990')] ).

cnf(3114,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[3112,160,286]),
    [iquote('hyper,3112,160,286')] ).

cnf(3115,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[3114,54,262]),
    [iquote('hyper,3114,54,262')] ).

cnf(3117,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[3115,122,276]),
    [iquote('hyper,3115,122,276')] ).

cnf(3119,plain,
    ( horizontal_1_3
    | horizontal_1_4
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[3117,16,1907]),
    [iquote('hyper,3117,16,1907')] ).

cnf(3121,plain,
    ( horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[3119,94,272]),
    [iquote('hyper,3119,94,272')] ).

cnf(3130,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3106,3]),
    [iquote('hyper,3106,3')] ).

cnf(3132,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3130,250,3041]),
    [iquote('hyper,3130,250,3041')] ).

cnf(3134,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3132,238,337]),
    [iquote('hyper,3132,238,337')] ).

cnf(3136,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3134,156,3042]),
    [iquote('hyper,3134,156,3042')] ).

cnf(3145,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3136,238,337]),
    [iquote('hyper,3136,238,337')] ).

cnf(3146,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3145,228,324]),
    [iquote('hyper,3145,228,324')] ).

cnf(3152,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3146,3]),
    [iquote('hyper,3146,3')] ).

cnf(3153,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3152,250,3041]),
    [iquote('hyper,3152,250,3041')] ).

cnf(3155,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3153,238,337]),
    [iquote('hyper,3153,238,337')] ).

cnf(3157,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3155,204,296]),
    [iquote('hyper,3155,204,296')] ).

cnf(3158,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3157,96,3040]),
    [iquote('hyper,3157,96,3040')] ).

cnf(3160,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3158,162,3096]),
    [iquote('hyper,3158,162,3096')] ).

cnf(3161,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3104,164,286]),
    [iquote('hyper,3104,164,286')] ).

cnf(3173,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3160,232,300]),
    [iquote('hyper,3160,232,300')] ).

cnf(3176,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3173,112,3092]),
    [iquote('hyper,3173,112,3092')] ).

cnf(3177,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3176,200,320]),
    [iquote('hyper,3176,200,320')] ).

cnf(3178,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3177,250,3094]),
    [iquote('hyper,3177,250,3094')] ).

cnf(3180,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3178,238,337]),
    [iquote('hyper,3178,238,337')] ).

cnf(3181,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3180,179,326]),
    [iquote('hyper,3180,179,326')] ).

cnf(3182,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3181,222,324]),
    [iquote('hyper,3181,222,324')] ).

cnf(3183,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3182,3]),
    [iquote('hyper,3182,3')] ).

cnf(3185,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3183,252,310]),
    [iquote('hyper,3183,252,310')] ).

cnf(3186,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3185,162,3158]),
    [iquote('hyper,3185,162,3158')] ).

cnf(3187,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3186,224,3181]),
    [iquote('hyper,3186,224,3181')] ).

cnf(3188,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3187,200,320]),
    [iquote('hyper,3187,200,320')] ).

cnf(3189,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3188,250,3183]),
    [iquote('hyper,3188,250,3183')] ).

cnf(3190,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3189,238,337]),
    [iquote('hyper,3189,238,337')] ).

cnf(3191,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3190,158,3158]),
    [iquote('hyper,3190,158,3158')] ).

cnf(3192,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3191,134,338]),
    [iquote('hyper,3191,134,338')] ).

cnf(3193,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3192,206,320]),
    [iquote('hyper,3192,206,320')] ).

cnf(3194,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3193,254,310]),
    [iquote('hyper,3193,254,310')] ).

cnf(3196,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3193,250,3094]),
    [iquote('hyper,3193,250,3094')] ).

cnf(3197,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3196,238,337]),
    [iquote('hyper,3196,238,337')] ).

cnf(3198,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3197,186,292]),
    [iquote('hyper,3197,186,292')] ).

cnf(3199,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3198,78,268]),
    [iquote('hyper,3198,78,268')] ).

cnf(3200,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3199,2]),
    [iquote('hyper,3199,2')] ).

cnf(3201,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3200,179,326]),
    [iquote('hyper,3200,179,326')] ).

cnf(3202,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3201,222,324]),
    [iquote('hyper,3201,222,324')] ).

cnf(3203,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3202,3]),
    [iquote('hyper,3202,3')] ).

cnf(3205,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3203,250,3193]),
    [iquote('hyper,3203,250,3193')] ).

cnf(3206,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3205,238,337]),
    [iquote('hyper,3205,238,337')] ).

cnf(3207,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3206,186,292]),
    [iquote('hyper,3206,186,292')] ).

cnf(3209,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3207,78,268]),
    [iquote('hyper,3207,78,268')] ).

cnf(3210,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3209,2]),
    [iquote('hyper,3209,2')] ).

cnf(3213,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3161,52,2824]),
    [iquote('hyper,3161,52,2824')] ).

cnf(3216,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3194,156,3210]),
    [iquote('hyper,3194,156,3210')] ).

cnf(3217,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3216,238,337]),
    [iquote('hyper,3216,238,337')] ).

cnf(3218,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3217,228,324]),
    [iquote('hyper,3217,228,324')] ).

cnf(3220,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3218,3]),
    [iquote('hyper,3218,3')] ).

cnf(3221,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3220,250,3193]),
    [iquote('hyper,3220,250,3193')] ).

cnf(3222,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3221,238,337]),
    [iquote('hyper,3221,238,337')] ).

cnf(3225,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3222,202,3192]),
    [iquote('hyper,3222,202,3192')] ).

cnf(3226,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3225,186,292]),
    [iquote('hyper,3225,186,292')] ).

cnf(3227,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3226,78,268]),
    [iquote('hyper,3226,78,268')] ).

cnf(3228,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3227,2]),
    [iquote('hyper,3227,2')] ).

cnf(3230,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3228,140,3100]),
    [iquote('hyper,3228,140,3100')] ).

cnf(3232,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3213,224,3068]),
    [iquote('hyper,3213,224,3068')] ).

cnf(3235,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3232,200,320]),
    [iquote('hyper,3232,200,320')] ).

cnf(3239,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3230,210,296]),
    [iquote('hyper,3230,210,296')] ).

cnf(3240,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3235,250,3102]),
    [iquote('hyper,3235,250,3102')] ).

cnf(3244,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3240,238,337]),
    [iquote('hyper,3240,238,337')] ).

cnf(3245,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3244,160,286]),
    [iquote('hyper,3244,160,286')] ).

cnf(3246,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3245,52,2824]),
    [iquote('hyper,3245,52,2824')] ).

cnf(3248,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3239,96,3040]),
    [iquote('hyper,3239,96,3040')] ).

cnf(3249,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3248,184,316]),
    [iquote('hyper,3248,184,316')] ).

cnf(3250,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3249,238,3097]),
    [iquote('hyper,3249,238,3097')] ).

cnf(3251,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3250,179,326]),
    [iquote('hyper,3250,179,326')] ).

cnf(3253,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3251,222,324]),
    [iquote('hyper,3251,222,324')] ).

cnf(3254,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3253,3]),
    [iquote('hyper,3253,3')] ).

cnf(3256,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3254,250,3041]),
    [iquote('hyper,3254,250,3041')] ).

cnf(3258,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3256,240,306]),
    [iquote('hyper,3256,240,306')] ).

cnf(3272,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3258,140,3228]),
    [iquote('hyper,3258,140,3228')] ).

cnf(3273,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3272,210,296]),
    [iquote('hyper,3272,210,296')] ).

cnf(3274,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3273,96,3040]),
    [iquote('hyper,3273,96,3040')] ).

cnf(3275,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3274,184,316]),
    [iquote('hyper,3274,184,316')] ).

cnf(3276,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3275,238,3256]),
    [iquote('hyper,3275,238,3256')] ).

cnf(3277,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3276,160,286]),
    [iquote('hyper,3276,160,286')] ).

cnf(3279,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3277,52,2824]),
    [iquote('hyper,3277,52,2824')] ).

cnf(3283,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3279,166,286]),
    [iquote('hyper,3279,166,286')] ).

cnf(3284,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3283,52,2824]),
    [iquote('hyper,3283,52,2824')] ).

cnf(3285,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[3284,136,3246]),
    [iquote('hyper,3284,136,3246')] ).

cnf(3288,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[3285,114,3092]),
    [iquote('hyper,3285,114,3092')] ).

cnf(3290,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[3288,92,3040]),
    [iquote('hyper,3288,92,3040')] ).

cnf(3291,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[3290,76,268]),
    [iquote('hyper,3290,76,268')] ).

cnf(3292,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[3291,2]),
    [iquote('hyper,3291,2')] ).

cnf(3294,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[3292,48,2824]),
    [iquote('hyper,3292,48,2824')] ).

cnf(3295,plain,
    ( horizontal_1_1
    | horizontal_1_2
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[3294,28,258]),
    [iquote('hyper,3294,28,258')] ).

cnf(3296,plain,
    ( horizontal_1_1
    | horizontal_1_2 ),
    inference(hyper,[status(thm)],[3295,34,258]),
    [iquote('hyper,3295,34,258')] ).

cnf(3297,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[3296,10,3121]),
    [iquote('hyper,3296,10,3121')] ).

cnf(3298,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3296,10,1961]),
    [iquote('hyper,3296,10,1961')] ).

cnf(3299,plain,
    ( horizontal_1_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3296,10,343]),
    [iquote('hyper,3296,10,343')] ).

cnf(3301,plain,
    ( horizontal_1_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3299,254,310]),
    [iquote('hyper,3299,254,310')] ).

cnf(3303,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3299,250,340]),
    [iquote('hyper,3299,250,340')] ).

cnf(3306,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3303,240,306]),
    [iquote('hyper,3303,240,306')] ).

cnf(3307,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3303,238,337]),
    [iquote('hyper,3303,238,337')] ).

cnf(3308,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[3297,100,272]),
    [iquote('hyper,3297,100,272')] ).

cnf(3310,plain,
    ( horizontal_1_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3301,164,286]),
    [iquote('hyper,3301,164,286')] ).

cnf(3312,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3298,179,326]),
    [iquote('hyper,3298,179,326')] ).

cnf(3316,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3307,162,341]),
    [iquote('hyper,3307,162,341')] ).

cnf(3318,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[3308,10,3296]),
    [iquote('hyper,3308,10,3296')] ).

cnf(3320,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3318,74,325]),
    [iquote('hyper,3318,74,325')] ).

cnf(3325,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3320,238,1938]),
    [iquote('hyper,3320,238,1938')] ).

cnf(3328,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3306,142,282]),
    [iquote('hyper,3306,142,282')] ).

cnf(3329,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3316,224,329]),
    [iquote('hyper,3316,224,329')] ).

cnf(3333,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3329,200,320]),
    [iquote('hyper,3329,200,320')] ).

cnf(3334,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3333,250,340]),
    [iquote('hyper,3333,250,340')] ).

cnf(3335,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3334,238,337]),
    [iquote('hyper,3334,238,337')] ).

cnf(3336,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3310,54,262]),
    [iquote('hyper,3310,54,262')] ).

cnf(3339,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3335,134,338]),
    [iquote('hyper,3335,134,338')] ).

cnf(3340,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3339,206,320]),
    [iquote('hyper,3339,206,320')] ).

cnf(3341,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3340,250,340]),
    [iquote('hyper,3340,250,340')] ).

cnf(3342,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3341,238,337]),
    [iquote('hyper,3341,238,337')] ).

cnf(3343,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3342,186,292]),
    [iquote('hyper,3342,186,292')] ).

cnf(3344,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3343,78,268]),
    [iquote('hyper,3343,78,268')] ).

cnf(3345,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3312,222,324]),
    [iquote('hyper,3312,222,324')] ).

cnf(3346,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3344,2]),
    [iquote('hyper,3344,2')] ).

cnf(3348,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3346,140,3306]),
    [iquote('hyper,3346,140,3306')] ).

cnf(3350,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3348,210,296]),
    [iquote('hyper,3348,210,296')] ).

cnf(3351,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3350,98,272]),
    [iquote('hyper,3350,98,272')] ).

cnf(3352,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3351,10,3296]),
    [iquote('hyper,3351,10,3296')] ).

cnf(3353,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3352,184,316]),
    [iquote('hyper,3352,184,316')] ).

cnf(3354,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3353,238,3303]),
    [iquote('hyper,3353,238,3303')] ).

cnf(3356,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3354,162,341]),
    [iquote('hyper,3354,162,341')] ).

cnf(3358,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3356,224,329]),
    [iquote('hyper,3356,224,329')] ).

cnf(3359,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3358,200,320]),
    [iquote('hyper,3358,200,320')] ).

cnf(3360,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3359,250,340]),
    [iquote('hyper,3359,250,340')] ).

cnf(3361,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3360,240,306]),
    [iquote('hyper,3360,240,306')] ).

cnf(3362,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3361,140,3346]),
    [iquote('hyper,3361,140,3346')] ).

cnf(3363,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3362,202,3358]),
    [iquote('hyper,3362,202,3358')] ).

cnf(3364,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3363,184,316]),
    [iquote('hyper,3363,184,316')] ).

cnf(3365,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3364,238,3360]),
    [iquote('hyper,3364,238,3360')] ).

cnf(3368,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[3365,136,3346]),
    [iquote('hyper,3365,136,3346')] ).

cnf(3370,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3368,112,335]),
    [iquote('hyper,3368,112,335')] ).

cnf(3371,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3370,3]),
    [iquote('hyper,3370,3')] ).

cnf(3373,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3371,252,310]),
    [iquote('hyper,3371,252,310')] ).

cnf(3374,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3371,250,3299]),
    [iquote('hyper,3371,250,3299')] ).

cnf(3380,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3325,179,326]),
    [iquote('hyper,3325,179,326')] ).

cnf(3383,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3374,240,306]),
    [iquote('hyper,3374,240,306')] ).

cnf(3384,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3374,238,337]),
    [iquote('hyper,3374,238,337')] ).

cnf(3386,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3384,179,326]),
    [iquote('hyper,3384,179,326')] ).

cnf(3387,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3386,222,324]),
    [iquote('hyper,3386,222,324')] ).

cnf(3393,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3387,3]),
    [iquote('hyper,3387,3')] ).

cnf(3395,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3393,250,3299]),
    [iquote('hyper,3393,250,3299')] ).

cnf(3397,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3395,238,337]),
    [iquote('hyper,3395,238,337')] ).

cnf(3399,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3397,156,3301]),
    [iquote('hyper,3397,156,3301')] ).

cnf(3402,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3399,238,337]),
    [iquote('hyper,3399,238,337')] ).

cnf(3403,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3402,228,324]),
    [iquote('hyper,3402,228,324')] ).

cnf(3405,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3403,3]),
    [iquote('hyper,3403,3')] ).

cnf(3406,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3405,250,3299]),
    [iquote('hyper,3405,250,3299')] ).

cnf(3408,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3406,238,337]),
    [iquote('hyper,3406,238,337')] ).

cnf(3410,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3408,204,296]),
    [iquote('hyper,3408,204,296')] ).

cnf(3411,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3410,98,272]),
    [iquote('hyper,3410,98,272')] ).

cnf(3415,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3411,10,3296]),
    [iquote('hyper,3411,10,3296')] ).

cnf(3417,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3415,162,3373]),
    [iquote('hyper,3415,162,3373')] ).

cnf(3420,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3336,240,306]),
    [iquote('hyper,3336,240,306')] ).

cnf(3422,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3417,232,300]),
    [iquote('hyper,3417,232,300')] ).

cnf(3423,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3422,112,3368]),
    [iquote('hyper,3422,112,3368')] ).

cnf(3424,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3423,200,320]),
    [iquote('hyper,3423,200,320')] ).

cnf(3425,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3424,250,3371]),
    [iquote('hyper,3424,250,3371')] ).

cnf(3426,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3345,3]),
    [iquote('hyper,3345,3')] ).

cnf(3427,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3425,238,337]),
    [iquote('hyper,3425,238,337')] ).

cnf(3428,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3427,179,326]),
    [iquote('hyper,3427,179,326')] ).

cnf(3429,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3428,222,324]),
    [iquote('hyper,3428,222,324')] ).

cnf(3430,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3429,3]),
    [iquote('hyper,3429,3')] ).

cnf(3431,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3430,252,310]),
    [iquote('hyper,3430,252,310')] ).

cnf(3432,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3431,162,3415]),
    [iquote('hyper,3431,162,3415')] ).

cnf(3433,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3432,224,3428]),
    [iquote('hyper,3432,224,3428')] ).

cnf(3434,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3433,200,320]),
    [iquote('hyper,3433,200,320')] ).

cnf(3435,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3434,250,3430]),
    [iquote('hyper,3434,250,3430')] ).

cnf(3436,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3435,238,337]),
    [iquote('hyper,3435,238,337')] ).

cnf(3437,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3436,158,3415]),
    [iquote('hyper,3436,158,3415')] ).

cnf(3440,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3437,134,338]),
    [iquote('hyper,3437,134,338')] ).

cnf(3441,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3440,206,320]),
    [iquote('hyper,3440,206,320')] ).

cnf(3442,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3441,254,310]),
    [iquote('hyper,3441,254,310')] ).

cnf(3443,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3441,250,3371]),
    [iquote('hyper,3441,250,3371')] ).

cnf(3444,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3380,222,324]),
    [iquote('hyper,3380,222,324')] ).

cnf(3445,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3443,238,337]),
    [iquote('hyper,3443,238,337')] ).

cnf(3446,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3445,186,292]),
    [iquote('hyper,3445,186,292')] ).

cnf(3447,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3446,78,268]),
    [iquote('hyper,3446,78,268')] ).

cnf(3448,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3447,2]),
    [iquote('hyper,3447,2')] ).

cnf(3449,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3448,179,326]),
    [iquote('hyper,3448,179,326')] ).

cnf(3450,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3449,222,324]),
    [iquote('hyper,3449,222,324')] ).

cnf(3451,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3450,3]),
    [iquote('hyper,3450,3')] ).

cnf(3453,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3451,250,3441]),
    [iquote('hyper,3451,250,3441')] ).

cnf(3455,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3453,238,337]),
    [iquote('hyper,3453,238,337')] ).

cnf(3456,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3455,186,292]),
    [iquote('hyper,3455,186,292')] ).

cnf(3457,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3456,78,268]),
    [iquote('hyper,3456,78,268')] ).

cnf(3458,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3457,2]),
    [iquote('hyper,3457,2')] ).

cnf(3461,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3442,156,3458]),
    [iquote('hyper,3442,156,3458')] ).

cnf(3462,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3461,238,337]),
    [iquote('hyper,3461,238,337')] ).

cnf(3463,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3462,228,324]),
    [iquote('hyper,3462,228,324')] ).

cnf(3465,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3463,3]),
    [iquote('hyper,3463,3')] ).

cnf(3466,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3465,250,3441]),
    [iquote('hyper,3465,250,3441')] ).

cnf(3467,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3466,238,337]),
    [iquote('hyper,3466,238,337')] ).

cnf(3469,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3467,202,3440]),
    [iquote('hyper,3467,202,3440')] ).

cnf(3470,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3469,186,292]),
    [iquote('hyper,3469,186,292')] ).

cnf(3471,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3470,78,268]),
    [iquote('hyper,3470,78,268')] ).

cnf(3472,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3471,2]),
    [iquote('hyper,3471,2')] ).

cnf(3475,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3472,140,3383]),
    [iquote('hyper,3472,140,3383')] ).

cnf(3477,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3475,210,296]),
    [iquote('hyper,3475,210,296')] ).

cnf(3478,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3477,98,272]),
    [iquote('hyper,3477,98,272')] ).

cnf(3479,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3478,10,3296]),
    [iquote('hyper,3478,10,3296')] ).

cnf(3480,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3479,184,316]),
    [iquote('hyper,3479,184,316')] ).

cnf(3481,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3480,238,3374]),
    [iquote('hyper,3480,238,3374')] ).

cnf(3482,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3481,179,326]),
    [iquote('hyper,3481,179,326')] ).

cnf(3483,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3482,222,324]),
    [iquote('hyper,3482,222,324')] ).

cnf(3484,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3483,3]),
    [iquote('hyper,3483,3')] ).

cnf(3486,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3484,250,3299]),
    [iquote('hyper,3484,250,3299')] ).

cnf(3489,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3486,240,306]),
    [iquote('hyper,3486,240,306')] ).

cnf(3492,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3489,140,3472]),
    [iquote('hyper,3489,140,3472')] ).

cnf(3493,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3492,210,296]),
    [iquote('hyper,3492,210,296')] ).

cnf(3494,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3493,98,272]),
    [iquote('hyper,3493,98,272')] ).

cnf(3495,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3494,10,3296]),
    [iquote('hyper,3494,10,3296')] ).

cnf(3496,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3495,184,316]),
    [iquote('hyper,3495,184,316')] ).

cnf(3498,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3496,238,3486]),
    [iquote('hyper,3496,238,3486')] ).

cnf(3500,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3498,156,3301]),
    [iquote('hyper,3498,156,3301')] ).

cnf(3502,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3500,240,306]),
    [iquote('hyper,3500,240,306')] ).

cnf(3503,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3420,142,282]),
    [iquote('hyper,3420,142,282')] ).

cnf(3518,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3426,252,310]),
    [iquote('hyper,3426,252,310')] ).

cnf(3522,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3502,140,3472]),
    [iquote('hyper,3502,140,3472')] ).

cnf(3523,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3522,228,324]),
    [iquote('hyper,3522,228,324')] ).

cnf(3525,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3444,3]),
    [iquote('hyper,3444,3')] ).

cnf(3526,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3523,3]),
    [iquote('hyper,3523,3')] ).

cnf(3527,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3526,250,3299]),
    [iquote('hyper,3526,250,3299')] ).

cnf(3529,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3527,240,306]),
    [iquote('hyper,3527,240,306')] ).

cnf(3532,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3529,140,3472]),
    [iquote('hyper,3529,140,3472')] ).

cnf(3534,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3532,204,296]),
    [iquote('hyper,3532,204,296')] ).

cnf(3535,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3534,98,272]),
    [iquote('hyper,3534,98,272')] ).

cnf(3536,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3535,10,3296]),
    [iquote('hyper,3535,10,3296')] ).

cnf(3537,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3536,210,296]),
    [iquote('hyper,3536,210,296')] ).

cnf(3539,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3537,98,272]),
    [iquote('hyper,3537,98,272')] ).

cnf(3540,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3539,10,3296]),
    [iquote('hyper,3539,10,3296')] ).

cnf(3542,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3540,184,316]),
    [iquote('hyper,3540,184,316')] ).

cnf(3543,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3503,30,2793]),
    [iquote('hyper,3503,30,2793')] ).

cnf(3544,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3542,238,3500]),
    [iquote('hyper,3542,238,3500')] ).

cnf(3545,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3544,228,324]),
    [iquote('hyper,3544,228,324')] ).

cnf(3547,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3545,3]),
    [iquote('hyper,3545,3')] ).

cnf(3548,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3547,250,3299]),
    [iquote('hyper,3547,250,3299')] ).

cnf(3551,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3548,238,3542]),
    [iquote('hyper,3548,238,3542')] ).

cnf(3553,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3551,204,296]),
    [iquote('hyper,3551,204,296')] ).

cnf(3554,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3553,98,272]),
    [iquote('hyper,3553,98,272')] ).

cnf(3555,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3554,10,3296]),
    [iquote('hyper,3554,10,3296')] ).

cnf(3559,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3555,162,3373]),
    [iquote('hyper,3555,162,3373')] ).

cnf(3561,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3559,232,300]),
    [iquote('hyper,3559,232,300')] ).

cnf(3562,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3518,164,286]),
    [iquote('hyper,3518,164,286')] ).

cnf(3563,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3561,112,3368]),
    [iquote('hyper,3561,112,3368')] ).

cnf(3564,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3563,200,320]),
    [iquote('hyper,3563,200,320')] ).

cnf(3565,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3564,250,3371]),
    [iquote('hyper,3564,250,3371')] ).

cnf(3566,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3565,240,306]),
    [iquote('hyper,3565,240,306')] ).

cnf(3570,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3566,140,3472]),
    [iquote('hyper,3566,140,3472')] ).

cnf(3571,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3570,202,3563]),
    [iquote('hyper,3570,202,3563')] ).

cnf(3572,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3571,184,316]),
    [iquote('hyper,3571,184,316')] ).

cnf(3573,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3572,238,3565]),
    [iquote('hyper,3572,238,3565')] ).

cnf(3575,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3573,179,326]),
    [iquote('hyper,3573,179,326')] ).

cnf(3576,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3575,222,324]),
    [iquote('hyper,3575,222,324')] ).

cnf(3577,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3576,3]),
    [iquote('hyper,3576,3')] ).

cnf(3578,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3577,252,310]),
    [iquote('hyper,3577,252,310')] ).

cnf(3579,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3525,252,310]),
    [iquote('hyper,3525,252,310')] ).

cnf(3580,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3578,162,3555]),
    [iquote('hyper,3578,162,3555')] ).

cnf(3581,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3580,224,3575]),
    [iquote('hyper,3580,224,3575')] ).

cnf(3582,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3581,200,320]),
    [iquote('hyper,3581,200,320')] ).

cnf(3583,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3582,250,3577]),
    [iquote('hyper,3582,250,3577')] ).

cnf(3586,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3583,240,306]),
    [iquote('hyper,3583,240,306')] ).

cnf(3587,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3586,140,3472]),
    [iquote('hyper,3586,140,3472')] ).

cnf(3588,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3587,202,3581]),
    [iquote('hyper,3587,202,3581')] ).

cnf(3589,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3588,184,316]),
    [iquote('hyper,3588,184,316')] ).

cnf(3591,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3543,228,324]),
    [iquote('hyper,3543,228,324')] ).

cnf(3594,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3589,238,3583]),
    [iquote('hyper,3589,238,3583')] ).

cnf(3595,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3594,158,3555]),
    [iquote('hyper,3594,158,3555')] ).

cnf(3597,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[3595,136,3472]),
    [iquote('hyper,3595,136,3472')] ).

cnf(3598,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3597,52,348]),
    [iquote('hyper,3597,52,348')] ).

cnf(3600,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3598,224,329]),
    [iquote('hyper,3598,224,329')] ).

cnf(3603,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3600,200,320]),
    [iquote('hyper,3600,200,320')] ).

cnf(3604,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3603,250,340]),
    [iquote('hyper,3603,250,340')] ).

cnf(3605,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3604,240,306]),
    [iquote('hyper,3604,240,306')] ).

cnf(3606,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3604,238,337]),
    [iquote('hyper,3604,238,337')] ).

cnf(3607,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3562,54,262]),
    [iquote('hyper,3562,54,262')] ).

cnf(3611,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3605,140,3606]),
    [iquote('hyper,3605,140,3606')] ).

cnf(3612,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3611,202,3600]),
    [iquote('hyper,3611,202,3600')] ).

cnf(3613,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3612,184,316]),
    [iquote('hyper,3612,184,316')] ).

cnf(3614,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[3613,238,3604]),
    [iquote('hyper,3613,238,3604')] ).

cnf(3616,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3614,112,335]),
    [iquote('hyper,3614,112,335')] ).

cnf(3617,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3616,3]),
    [iquote('hyper,3616,3')] ).

cnf(3619,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3617,252,310]),
    [iquote('hyper,3617,252,310')] ).

cnf(3622,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3619,164,286]),
    [iquote('hyper,3619,164,286')] ).

cnf(3623,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3622,52,3597]),
    [iquote('hyper,3622,52,3597')] ).

cnf(3624,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3623,232,300]),
    [iquote('hyper,3623,232,300')] ).

cnf(3627,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3624,112,3614]),
    [iquote('hyper,3624,112,3614')] ).

cnf(3630,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3627,200,320]),
    [iquote('hyper,3627,200,320')] ).

cnf(3631,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3630,250,3617]),
    [iquote('hyper,3630,250,3617')] ).

cnf(3632,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3579,164,286]),
    [iquote('hyper,3579,164,286')] ).

cnf(3633,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3631,240,306]),
    [iquote('hyper,3631,240,306')] ).

cnf(3634,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3631,238,337]),
    [iquote('hyper,3631,238,337')] ).

cnf(3635,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3634,179,326]),
    [iquote('hyper,3634,179,326')] ).

cnf(3636,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3635,222,324]),
    [iquote('hyper,3635,222,324')] ).

cnf(3637,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3636,3]),
    [iquote('hyper,3636,3')] ).

cnf(3638,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3637,252,310]),
    [iquote('hyper,3637,252,310')] ).

cnf(3640,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3638,164,286]),
    [iquote('hyper,3638,164,286')] ).

cnf(3643,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3640,52,3597]),
    [iquote('hyper,3640,52,3597')] ).

cnf(3644,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3643,224,3635]),
    [iquote('hyper,3643,224,3635')] ).

cnf(3647,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3644,200,320]),
    [iquote('hyper,3644,200,320')] ).

cnf(3648,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3647,250,3637]),
    [iquote('hyper,3647,250,3637')] ).

cnf(3649,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3648,238,337]),
    [iquote('hyper,3648,238,337')] ).

cnf(3650,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3649,160,286]),
    [iquote('hyper,3649,160,286')] ).

cnf(3651,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3650,52,3597]),
    [iquote('hyper,3650,52,3597')] ).

cnf(3652,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3591,3]),
    [iquote('hyper,3591,3')] ).

cnf(3654,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3651,140,3633]),
    [iquote('hyper,3651,140,3633')] ).

cnf(3656,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3654,202,3627]),
    [iquote('hyper,3654,202,3627')] ).

cnf(3657,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3656,184,316]),
    [iquote('hyper,3656,184,316')] ).

cnf(3658,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3657,238,3631]),
    [iquote('hyper,3657,238,3631')] ).

cnf(3659,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3658,179,326]),
    [iquote('hyper,3658,179,326')] ).

cnf(3660,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3659,222,324]),
    [iquote('hyper,3659,222,324')] ).

cnf(3663,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3660,3]),
    [iquote('hyper,3660,3')] ).

cnf(3664,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3663,252,310]),
    [iquote('hyper,3663,252,310')] ).

cnf(3665,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3664,164,286]),
    [iquote('hyper,3664,164,286')] ).

cnf(3666,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3665,52,3597]),
    [iquote('hyper,3665,52,3597')] ).

cnf(3667,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3607,224,3312]),
    [iquote('hyper,3607,224,3312')] ).

cnf(3668,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3666,224,3659]),
    [iquote('hyper,3666,224,3659')] ).

cnf(3671,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3668,200,320]),
    [iquote('hyper,3668,200,320')] ).

cnf(3672,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3671,250,3663]),
    [iquote('hyper,3671,250,3663')] ).

cnf(3673,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3672,240,306]),
    [iquote('hyper,3672,240,306')] ).

cnf(3674,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3673,140,3651]),
    [iquote('hyper,3673,140,3651')] ).

cnf(3675,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3674,202,3668]),
    [iquote('hyper,3674,202,3668')] ).

cnf(3677,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3675,184,316]),
    [iquote('hyper,3675,184,316')] ).

cnf(3678,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3677,238,3672]),
    [iquote('hyper,3677,238,3672')] ).

cnf(3679,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[3678,160,286]),
    [iquote('hyper,3678,160,286')] ).

cnf(3680,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[3679,52,3597]),
    [iquote('hyper,3679,52,3597')] ).

cnf(3684,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3680,118,336]),
    [iquote('hyper,3680,118,336')] ).

cnf(3687,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_6
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3684,183,290]),
    [iquote('hyper,3684,183,290')] ).

cnf(3688,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3687,71,266]),
    [iquote('hyper,3687,71,266')] ).

cnf(3689,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3632,54,262]),
    [iquote('hyper,3632,54,262')] ).

cnf(3690,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3688,156,341]),
    [iquote('hyper,3688,156,341')] ).

cnf(3691,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3690,224,329]),
    [iquote('hyper,3690,224,329')] ).

cnf(3693,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3691,200,320]),
    [iquote('hyper,3691,200,320')] ).

cnf(3694,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3693,250,340]),
    [iquote('hyper,3693,250,340')] ).

cnf(3697,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3694,240,306]),
    [iquote('hyper,3694,240,306')] ).

cnf(3698,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3694,238,337]),
    [iquote('hyper,3694,238,337')] ).

cnf(3702,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3652,250,3299]),
    [iquote('hyper,3652,250,3299')] ).

cnf(3707,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3697,140,3698]),
    [iquote('hyper,3697,140,3698')] ).

cnf(3709,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3667,204,296]),
    [iquote('hyper,3667,204,296')] ).

cnf(3710,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3707,202,3691]),
    [iquote('hyper,3707,202,3691')] ).

cnf(3711,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3710,184,316]),
    [iquote('hyper,3710,184,316')] ).

cnf(3712,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[3711,238,3694]),
    [iquote('hyper,3711,238,3694')] ).

cnf(3713,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[3712,114,3680]),
    [iquote('hyper,3712,114,3680')] ).

cnf(3717,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3713,90,333]),
    [iquote('hyper,3713,90,333')] ).

cnf(3720,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3717,254,310]),
    [iquote('hyper,3717,254,310')] ).

cnf(3721,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3717,250,340]),
    [iquote('hyper,3717,250,340')] ).

cnf(3724,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3721,240,306]),
    [iquote('hyper,3721,240,306')] ).

cnf(3725,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3721,238,337]),
    [iquote('hyper,3721,238,337')] ).

cnf(3727,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3725,162,341]),
    [iquote('hyper,3725,162,341')] ).

cnf(3728,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3727,224,329]),
    [iquote('hyper,3727,224,329')] ).

cnf(3729,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3728,200,320]),
    [iquote('hyper,3728,200,320')] ).

cnf(3730,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3729,250,340]),
    [iquote('hyper,3729,250,340')] ).

cnf(3731,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3689,224,3380]),
    [iquote('hyper,3689,224,3380')] ).

cnf(3732,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3730,238,337]),
    [iquote('hyper,3730,238,337')] ).

cnf(3734,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3732,134,338]),
    [iquote('hyper,3732,134,338')] ).

cnf(3735,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3734,206,320]),
    [iquote('hyper,3734,206,320')] ).

cnf(3736,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3735,250,340]),
    [iquote('hyper,3735,250,340')] ).

cnf(3737,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3736,238,337]),
    [iquote('hyper,3736,238,337')] ).

cnf(3738,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3737,186,292]),
    [iquote('hyper,3737,186,292')] ).

cnf(3739,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3738,78,268]),
    [iquote('hyper,3738,78,268')] ).

cnf(3742,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3739,2]),
    [iquote('hyper,3739,2')] ).

cnf(3746,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3702,240,306]),
    [iquote('hyper,3702,240,306')] ).

cnf(3747,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3724,140,3742]),
    [iquote('hyper,3724,140,3742')] ).

cnf(3748,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3747,210,296]),
    [iquote('hyper,3747,210,296')] ).

cnf(3749,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3748,90,3713]),
    [iquote('hyper,3748,90,3713')] ).

cnf(3750,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3709,98,272]),
    [iquote('hyper,3709,98,272')] ).

cnf(3751,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3749,184,316]),
    [iquote('hyper,3749,184,316')] ).

cnf(3752,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3751,238,3721]),
    [iquote('hyper,3751,238,3721')] ).

cnf(3753,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3752,162,341]),
    [iquote('hyper,3752,162,341')] ).

cnf(3754,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3753,224,329]),
    [iquote('hyper,3753,224,329')] ).

cnf(3756,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3754,200,320]),
    [iquote('hyper,3754,200,320')] ).

cnf(3757,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3756,250,340]),
    [iquote('hyper,3756,250,340')] ).

cnf(3758,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3757,240,306]),
    [iquote('hyper,3757,240,306')] ).

cnf(3759,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3758,140,3742]),
    [iquote('hyper,3758,140,3742')] ).

cnf(3761,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3759,202,3754]),
    [iquote('hyper,3759,202,3754')] ).

cnf(3762,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3761,184,316]),
    [iquote('hyper,3761,184,316')] ).

cnf(3763,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3762,238,3757]),
    [iquote('hyper,3762,238,3757')] ).

cnf(3764,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[3763,136,3742]),
    [iquote('hyper,3763,136,3742')] ).

cnf(3766,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3731,200,320]),
    [iquote('hyper,3731,200,320')] ).

cnf(3768,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3764,112,335]),
    [iquote('hyper,3764,112,335')] ).

cnf(3769,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3768,3]),
    [iquote('hyper,3768,3')] ).

cnf(3771,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3769,252,310]),
    [iquote('hyper,3769,252,310')] ).

cnf(3772,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3769,250,3717]),
    [iquote('hyper,3769,250,3717')] ).

cnf(3776,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3772,240,306]),
    [iquote('hyper,3772,240,306')] ).

cnf(3777,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3772,238,337]),
    [iquote('hyper,3772,238,337')] ).

cnf(3778,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3777,179,326]),
    [iquote('hyper,3777,179,326')] ).

cnf(3780,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3778,222,324]),
    [iquote('hyper,3778,222,324')] ).

cnf(3781,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3780,3]),
    [iquote('hyper,3780,3')] ).

cnf(3783,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3781,250,3717]),
    [iquote('hyper,3781,250,3717')] ).

cnf(3785,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3783,238,337]),
    [iquote('hyper,3783,238,337')] ).

cnf(3786,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3746,142,282]),
    [iquote('hyper,3746,142,282')] ).

cnf(3787,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3785,156,3720]),
    [iquote('hyper,3785,156,3720')] ).

cnf(3789,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3787,238,337]),
    [iquote('hyper,3787,238,337')] ).

cnf(3790,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3789,228,324]),
    [iquote('hyper,3789,228,324')] ).

cnf(3792,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3790,3]),
    [iquote('hyper,3790,3')] ).

cnf(3793,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3750,10,3296]),
    [iquote('hyper,3750,10,3296')] ).

cnf(3794,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3792,250,3717]),
    [iquote('hyper,3792,250,3717')] ).

cnf(3796,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3794,238,337]),
    [iquote('hyper,3794,238,337')] ).

cnf(3798,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3796,204,296]),
    [iquote('hyper,3796,204,296')] ).

cnf(3799,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3798,90,3713]),
    [iquote('hyper,3798,90,3713')] ).

cnf(3802,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3799,162,3771]),
    [iquote('hyper,3799,162,3771')] ).

cnf(3803,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3802,232,300]),
    [iquote('hyper,3802,232,300')] ).

cnf(3804,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3803,112,3764]),
    [iquote('hyper,3803,112,3764')] ).

cnf(3805,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3804,200,320]),
    [iquote('hyper,3804,200,320')] ).

cnf(3808,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3805,250,3769]),
    [iquote('hyper,3805,250,3769')] ).

cnf(3809,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3808,238,337]),
    [iquote('hyper,3808,238,337')] ).

cnf(3810,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3809,179,326]),
    [iquote('hyper,3809,179,326')] ).

cnf(3811,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3810,222,324]),
    [iquote('hyper,3810,222,324')] ).

cnf(3812,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3811,3]),
    [iquote('hyper,3811,3')] ).

cnf(3813,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3812,252,310]),
    [iquote('hyper,3812,252,310')] ).

cnf(3814,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3813,162,3799]),
    [iquote('hyper,3813,162,3799')] ).

cnf(3815,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3814,224,3810]),
    [iquote('hyper,3814,224,3810')] ).

cnf(3816,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3766,250,3525]),
    [iquote('hyper,3766,250,3525')] ).

cnf(3817,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3815,200,320]),
    [iquote('hyper,3815,200,320')] ).

cnf(3818,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3817,250,3812]),
    [iquote('hyper,3817,250,3812')] ).

cnf(3819,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3818,238,337]),
    [iquote('hyper,3818,238,337')] ).

cnf(3820,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3819,158,3799]),
    [iquote('hyper,3819,158,3799')] ).

cnf(3823,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3820,134,338]),
    [iquote('hyper,3820,134,338')] ).

cnf(3824,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3823,206,320]),
    [iquote('hyper,3823,206,320')] ).

cnf(3825,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3824,254,310]),
    [iquote('hyper,3824,254,310')] ).

cnf(3826,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3824,250,3769]),
    [iquote('hyper,3824,250,3769')] ).

cnf(3827,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3826,238,337]),
    [iquote('hyper,3826,238,337')] ).

cnf(3828,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3827,186,292]),
    [iquote('hyper,3827,186,292')] ).

cnf(3829,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3828,78,268]),
    [iquote('hyper,3828,78,268')] ).

cnf(3830,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3829,2]),
    [iquote('hyper,3829,2')] ).

cnf(3832,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3830,179,326]),
    [iquote('hyper,3830,179,326')] ).

cnf(3833,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3832,222,324]),
    [iquote('hyper,3832,222,324')] ).

cnf(3834,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3833,3]),
    [iquote('hyper,3833,3')] ).

cnf(3836,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3834,250,3824]),
    [iquote('hyper,3834,250,3824')] ).

cnf(3837,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3836,238,337]),
    [iquote('hyper,3836,238,337')] ).

cnf(3838,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3837,186,292]),
    [iquote('hyper,3837,186,292')] ).

cnf(3839,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3838,78,268]),
    [iquote('hyper,3838,78,268')] ).

cnf(3840,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3839,2]),
    [iquote('hyper,3839,2')] ).

cnf(3841,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3786,30,2793]),
    [iquote('hyper,3786,30,2793')] ).

cnf(3842,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3825,156,3840]),
    [iquote('hyper,3825,156,3840')] ).

cnf(3843,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3842,238,337]),
    [iquote('hyper,3842,238,337')] ).

cnf(3844,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3843,228,324]),
    [iquote('hyper,3843,228,324')] ).

cnf(3847,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3793,160,286]),
    [iquote('hyper,3793,160,286')] ).

cnf(3848,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3844,3]),
    [iquote('hyper,3844,3')] ).

cnf(3849,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3848,250,3824]),
    [iquote('hyper,3848,250,3824')] ).

cnf(3850,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3849,238,337]),
    [iquote('hyper,3849,238,337')] ).

cnf(3852,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3850,202,3823]),
    [iquote('hyper,3850,202,3823')] ).

cnf(3853,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3852,186,292]),
    [iquote('hyper,3852,186,292')] ).

cnf(3854,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3853,78,268]),
    [iquote('hyper,3853,78,268')] ).

cnf(3855,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3854,2]),
    [iquote('hyper,3854,2')] ).

cnf(3857,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3855,140,3776]),
    [iquote('hyper,3855,140,3776')] ).

cnf(3861,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3857,210,296]),
    [iquote('hyper,3857,210,296')] ).

cnf(3862,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3861,90,3713]),
    [iquote('hyper,3861,90,3713')] ).

cnf(3863,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3862,184,316]),
    [iquote('hyper,3862,184,316')] ).

cnf(3864,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3863,238,3772]),
    [iquote('hyper,3863,238,3772')] ).

cnf(3865,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3864,179,326]),
    [iquote('hyper,3864,179,326')] ).

cnf(3866,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3865,222,324]),
    [iquote('hyper,3865,222,324')] ).

cnf(3868,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3866,3]),
    [iquote('hyper,3866,3')] ).

cnf(3870,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3868,250,3717]),
    [iquote('hyper,3868,250,3717')] ).

cnf(3872,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3870,240,306]),
    [iquote('hyper,3870,240,306')] ).

cnf(3873,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3816,238,3320]),
    [iquote('hyper,3816,238,3320')] ).

cnf(3874,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3872,140,3855]),
    [iquote('hyper,3872,140,3855')] ).

cnf(3875,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3874,210,296]),
    [iquote('hyper,3874,210,296')] ).

cnf(3876,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3875,90,3713]),
    [iquote('hyper,3875,90,3713')] ).

cnf(3878,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3876,184,316]),
    [iquote('hyper,3876,184,316')] ).

cnf(3879,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3878,238,3870]),
    [iquote('hyper,3878,238,3870')] ).

cnf(3880,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3879,156,3720]),
    [iquote('hyper,3879,156,3720')] ).

cnf(3882,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3880,240,306]),
    [iquote('hyper,3880,240,306')] ).

cnf(3885,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3841,204,296]),
    [iquote('hyper,3841,204,296')] ).

cnf(3887,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3873,160,286]),
    [iquote('hyper,3873,160,286')] ).

cnf(3888,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3882,140,3855]),
    [iquote('hyper,3882,140,3855')] ).

cnf(3889,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3888,228,324]),
    [iquote('hyper,3888,228,324')] ).

cnf(3891,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3887,54,262]),
    [iquote('hyper,3887,54,262')] ).

cnf(3894,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3889,3]),
    [iquote('hyper,3889,3')] ).

cnf(3895,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3894,250,3717]),
    [iquote('hyper,3894,250,3717')] ).

cnf(3896,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3847,54,262]),
    [iquote('hyper,3847,54,262')] ).

cnf(3898,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3895,240,306]),
    [iquote('hyper,3895,240,306')] ).

cnf(3899,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3898,140,3855]),
    [iquote('hyper,3898,140,3855')] ).

cnf(3901,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3899,204,296]),
    [iquote('hyper,3899,204,296')] ).

cnf(3903,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3901,90,3713]),
    [iquote('hyper,3901,90,3713')] ).

cnf(3904,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3903,210,296]),
    [iquote('hyper,3903,210,296')] ).

cnf(3906,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3904,90,3713]),
    [iquote('hyper,3904,90,3713')] ).

cnf(3908,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3906,184,316]),
    [iquote('hyper,3906,184,316')] ).

cnf(3911,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3908,238,3880]),
    [iquote('hyper,3908,238,3880')] ).

cnf(3912,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3911,228,324]),
    [iquote('hyper,3911,228,324')] ).

cnf(3914,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3912,3]),
    [iquote('hyper,3912,3')] ).

cnf(3915,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3914,250,3717]),
    [iquote('hyper,3914,250,3717')] ).

cnf(3917,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3915,238,3908]),
    [iquote('hyper,3915,238,3908')] ).

cnf(3919,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3917,204,296]),
    [iquote('hyper,3917,204,296')] ).

cnf(3920,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[3919,90,3713]),
    [iquote('hyper,3919,90,3713')] ).

cnf(3921,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3920,162,3771]),
    [iquote('hyper,3920,162,3771')] ).

cnf(3923,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3921,232,300]),
    [iquote('hyper,3921,232,300')] ).

cnf(3924,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3923,112,3764]),
    [iquote('hyper,3923,112,3764')] ).

cnf(3925,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3924,200,320]),
    [iquote('hyper,3924,200,320')] ).

cnf(3926,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3925,250,3769]),
    [iquote('hyper,3925,250,3769')] ).

cnf(3927,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3885,98,272]),
    [iquote('hyper,3885,98,272')] ).

cnf(3928,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3926,240,306]),
    [iquote('hyper,3926,240,306')] ).

cnf(3929,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3928,140,3855]),
    [iquote('hyper,3928,140,3855')] ).

cnf(3930,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3929,202,3924]),
    [iquote('hyper,3929,202,3924')] ).

cnf(3931,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3930,184,316]),
    [iquote('hyper,3930,184,316')] ).

cnf(3933,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3931,238,3926]),
    [iquote('hyper,3931,238,3926')] ).

cnf(3934,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3933,179,326]),
    [iquote('hyper,3933,179,326')] ).

cnf(3935,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3934,222,324]),
    [iquote('hyper,3934,222,324')] ).

cnf(3936,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3935,3]),
    [iquote('hyper,3935,3')] ).

cnf(3937,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3896,166,286]),
    [iquote('hyper,3896,166,286')] ).

cnf(3939,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3936,252,310]),
    [iquote('hyper,3936,252,310')] ).

cnf(3940,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3939,162,3920]),
    [iquote('hyper,3939,162,3920')] ).

cnf(3941,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[3940,224,3934]),
    [iquote('hyper,3940,224,3934')] ).

cnf(3942,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3941,200,320]),
    [iquote('hyper,3941,200,320')] ).

cnf(3945,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3942,250,3936]),
    [iquote('hyper,3942,250,3936')] ).

cnf(3946,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3945,240,306]),
    [iquote('hyper,3945,240,306')] ).

cnf(3947,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3946,140,3855]),
    [iquote('hyper,3946,140,3855')] ).

cnf(3948,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3947,202,3941]),
    [iquote('hyper,3947,202,3941')] ).

cnf(3951,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[3948,184,316]),
    [iquote('hyper,3948,184,316')] ).

cnf(3952,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[3951,238,3945]),
    [iquote('hyper,3951,238,3945')] ).

cnf(3953,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3952,158,3920]),
    [iquote('hyper,3952,158,3920')] ).

cnf(3954,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[3953,136,3855]),
    [iquote('hyper,3953,136,3855')] ).

cnf(3956,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3954,24,347]),
    [iquote('hyper,3954,24,347')] ).

cnf(3958,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[3956,206,320]),
    [iquote('hyper,3956,206,320')] ).

cnf(3960,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3958,254,310]),
    [iquote('hyper,3958,254,310')] ).

cnf(3961,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3958,250,340]),
    [iquote('hyper,3958,250,340')] ).

cnf(3962,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3927,10,3296]),
    [iquote('hyper,3927,10,3296')] ).

cnf(3963,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3961,238,337]),
    [iquote('hyper,3961,238,337')] ).

cnf(3965,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3963,186,292]),
    [iquote('hyper,3963,186,292')] ).

cnf(3966,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3965,78,268]),
    [iquote('hyper,3965,78,268')] ).

cnf(3967,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[3966,2]),
    [iquote('hyper,3966,2')] ).

cnf(3969,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[3967,144,282]),
    [iquote('hyper,3967,144,282')] ).

cnf(3971,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[3969,24,3954]),
    [iquote('hyper,3969,24,3954')] ).

cnf(3973,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3971,112,335]),
    [iquote('hyper,3971,112,335')] ).

cnf(3974,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[3937,54,262]),
    [iquote('hyper,3937,54,262')] ).

cnf(3975,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3973,3]),
    [iquote('hyper,3973,3')] ).

cnf(3978,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3975,250,3958]),
    [iquote('hyper,3975,250,3958')] ).

cnf(3980,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[3974,136,3891]),
    [iquote('hyper,3974,136,3891')] ).

cnf(3982,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | vertical_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[3980,122,276]),
    [iquote('hyper,3980,122,276')] ).

cnf(3984,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[3982,16,1907]),
    [iquote('hyper,3982,16,1907')] ).

cnf(3986,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[3984,94,272]),
    [iquote('hyper,3984,94,272')] ).

cnf(3987,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[3986,10,3296]),
    [iquote('hyper,3986,10,3296')] ).

cnf(3989,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[3987,69,327]),
    [iquote('hyper,3987,69,327')] ).

cnf(3991,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3989,226,300]),
    [iquote('hyper,3989,226,300')] ).

cnf(3992,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3989,222,324]),
    [iquote('hyper,3989,222,324')] ).

cnf(3993,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[3992,3]),
    [iquote('hyper,3992,3')] ).

cnf(3995,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3993,252,310]),
    [iquote('hyper,3993,252,310')] ).

cnf(3996,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[3993,250,3299]),
    [iquote('hyper,3993,250,3299')] ).

cnf(3998,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3978,238,337]),
    [iquote('hyper,3978,238,337')] ).

cnf(3999,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3962,210,296]),
    [iquote('hyper,3962,210,296')] ).

cnf(4003,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[3998,186,292]),
    [iquote('hyper,3998,186,292')] ).

cnf(4004,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4003,78,268]),
    [iquote('hyper,4003,78,268')] ).

cnf(4005,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4004,2]),
    [iquote('hyper,4004,2')] ).

cnf(4006,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4005,179,326]),
    [iquote('hyper,4005,179,326')] ).

cnf(4010,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4006,222,324]),
    [iquote('hyper,4006,222,324')] ).

cnf(4011,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4010,3]),
    [iquote('hyper,4010,3')] ).

cnf(4013,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4011,250,3958]),
    [iquote('hyper,4011,250,3958')] ).

cnf(4014,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4013,238,337]),
    [iquote('hyper,4013,238,337')] ).

cnf(4016,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4014,186,292]),
    [iquote('hyper,4014,186,292')] ).

cnf(4017,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4016,78,268]),
    [iquote('hyper,4016,78,268')] ).

cnf(4018,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4017,2]),
    [iquote('hyper,4017,2')] ).

cnf(4020,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4018,156,3960]),
    [iquote('hyper,4018,156,3960')] ).

cnf(4021,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[3995,164,286]),
    [iquote('hyper,3995,164,286')] ).

cnf(4023,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[3996,240,306]),
    [iquote('hyper,3996,240,306')] ).

cnf(4030,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4020,238,337]),
    [iquote('hyper,4020,238,337')] ).

cnf(4031,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4030,228,324]),
    [iquote('hyper,4030,228,324')] ).

cnf(4033,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[3999,98,272]),
    [iquote('hyper,3999,98,272')] ).

cnf(4036,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4031,3]),
    [iquote('hyper,4031,3')] ).

cnf(4037,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4036,250,3958]),
    [iquote('hyper,4036,250,3958')] ).

cnf(4038,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4037,238,337]),
    [iquote('hyper,4037,238,337')] ).

cnf(4040,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4038,202,3956]),
    [iquote('hyper,4038,202,3956')] ).

cnf(4042,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4040,186,292]),
    [iquote('hyper,4040,186,292')] ).

cnf(4043,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4042,78,268]),
    [iquote('hyper,4042,78,268')] ).

cnf(4044,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4043,2]),
    [iquote('hyper,4043,2')] ).

cnf(4045,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | vertical_2_2
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[4044,144,282]),
    [iquote('hyper,4044,144,282')] ).

cnf(4047,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[4045,24,3954]),
    [iquote('hyper,4045,24,3954')] ).

cnf(4048,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4047,96,333]),
    [iquote('hyper,4047,96,333')] ).

cnf(4049,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4021,54,262]),
    [iquote('hyper,4021,54,262')] ).

cnf(4050,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4048,254,310]),
    [iquote('hyper,4048,254,310')] ).

cnf(4051,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4048,250,340]),
    [iquote('hyper,4048,250,340')] ).

cnf(4054,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4051,240,306]),
    [iquote('hyper,4051,240,306')] ).

cnf(4055,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4051,238,337]),
    [iquote('hyper,4051,238,337')] ).

cnf(4057,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4055,162,341]),
    [iquote('hyper,4055,162,341')] ).

cnf(4058,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4057,224,329]),
    [iquote('hyper,4057,224,329')] ).

cnf(4060,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4058,200,320]),
    [iquote('hyper,4058,200,320')] ).

cnf(4061,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4060,250,340]),
    [iquote('hyper,4060,250,340')] ).

cnf(4062,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4061,238,337]),
    [iquote('hyper,4061,238,337')] ).

cnf(4063,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4062,134,338]),
    [iquote('hyper,4062,134,338')] ).

cnf(4064,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4023,142,282]),
    [iquote('hyper,4023,142,282')] ).

cnf(4065,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4063,206,320]),
    [iquote('hyper,4063,206,320')] ).

cnf(4066,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4065,250,340]),
    [iquote('hyper,4065,250,340')] ).

cnf(4067,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4066,238,337]),
    [iquote('hyper,4066,238,337')] ).

cnf(4068,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4067,186,292]),
    [iquote('hyper,4067,186,292')] ).

cnf(4069,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4033,10,3296]),
    [iquote('hyper,4033,10,3296')] ).

cnf(4070,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4068,78,268]),
    [iquote('hyper,4068,78,268')] ).

cnf(4071,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4070,2]),
    [iquote('hyper,4070,2')] ).

cnf(4075,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4054,140,4071]),
    [iquote('hyper,4054,140,4071')] ).

cnf(4076,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4049,224,3989]),
    [iquote('hyper,4049,224,3989')] ).

cnf(4077,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4075,210,296]),
    [iquote('hyper,4075,210,296')] ).

cnf(4078,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4077,96,4047]),
    [iquote('hyper,4077,96,4047')] ).

cnf(4079,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4078,184,316]),
    [iquote('hyper,4078,184,316')] ).

cnf(4080,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4079,238,4051]),
    [iquote('hyper,4079,238,4051')] ).

cnf(4082,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4080,162,341]),
    [iquote('hyper,4080,162,341')] ).

cnf(4083,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4082,224,329]),
    [iquote('hyper,4082,224,329')] ).

cnf(4084,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4083,200,320]),
    [iquote('hyper,4083,200,320')] ).

cnf(4085,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4084,250,340]),
    [iquote('hyper,4084,250,340')] ).

cnf(4086,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4064,30,2793]),
    [iquote('hyper,4064,30,2793')] ).

cnf(4087,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4085,240,306]),
    [iquote('hyper,4085,240,306')] ).

cnf(4088,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4087,140,4071]),
    [iquote('hyper,4087,140,4071')] ).

cnf(4089,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4088,202,4083]),
    [iquote('hyper,4088,202,4083')] ).

cnf(4093,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4069,184,316]),
    [iquote('hyper,4069,184,316')] ).

cnf(4094,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4089,184,316]),
    [iquote('hyper,4089,184,316')] ).

cnf(4095,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4094,238,4085]),
    [iquote('hyper,4094,238,4085')] ).

cnf(4096,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[4095,136,4071]),
    [iquote('hyper,4095,136,4071')] ).

cnf(4098,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4096,112,335]),
    [iquote('hyper,4096,112,335')] ).

cnf(4100,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4098,3]),
    [iquote('hyper,4098,3')] ).

cnf(4102,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4100,252,310]),
    [iquote('hyper,4100,252,310')] ).

cnf(4103,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4100,250,4048]),
    [iquote('hyper,4100,250,4048')] ).

cnf(4106,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4103,240,306]),
    [iquote('hyper,4103,240,306')] ).

cnf(4107,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4103,238,337]),
    [iquote('hyper,4103,238,337')] ).

cnf(4108,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4107,179,326]),
    [iquote('hyper,4107,179,326')] ).

cnf(4109,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4108,222,324]),
    [iquote('hyper,4108,222,324')] ).

cnf(4111,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4076,204,296]),
    [iquote('hyper,4076,204,296')] ).

cnf(4112,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4076,200,320]),
    [iquote('hyper,4076,200,320')] ).

cnf(4119,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4086,210,296]),
    [iquote('hyper,4086,210,296')] ).

cnf(4121,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4109,3]),
    [iquote('hyper,4109,3')] ).

cnf(4123,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4121,250,4048]),
    [iquote('hyper,4121,250,4048')] ).

cnf(4125,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4123,238,337]),
    [iquote('hyper,4123,238,337')] ).

cnf(4127,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4125,156,4050]),
    [iquote('hyper,4125,156,4050')] ).

cnf(4129,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4127,238,337]),
    [iquote('hyper,4127,238,337')] ).

cnf(4130,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4129,228,324]),
    [iquote('hyper,4129,228,324')] ).

cnf(4132,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4130,3]),
    [iquote('hyper,4130,3')] ).

cnf(4133,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4132,250,4048]),
    [iquote('hyper,4132,250,4048')] ).

cnf(4135,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4133,238,337]),
    [iquote('hyper,4133,238,337')] ).

cnf(4137,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4135,204,296]),
    [iquote('hyper,4135,204,296')] ).

cnf(4138,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4137,96,4047]),
    [iquote('hyper,4137,96,4047')] ).

cnf(4140,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4093,238,3336]),
    [iquote('hyper,4093,238,3336')] ).

cnf(4142,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4138,162,4102]),
    [iquote('hyper,4138,162,4102')] ).

cnf(4143,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4142,232,300]),
    [iquote('hyper,4142,232,300')] ).

cnf(4144,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4143,112,4096]),
    [iquote('hyper,4143,112,4096')] ).

cnf(4145,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4144,200,320]),
    [iquote('hyper,4144,200,320')] ).

cnf(4146,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4145,250,4100]),
    [iquote('hyper,4145,250,4100')] ).

cnf(4147,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4146,238,337]),
    [iquote('hyper,4146,238,337')] ).

cnf(4148,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4147,179,326]),
    [iquote('hyper,4147,179,326')] ).

cnf(4149,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4148,222,324]),
    [iquote('hyper,4148,222,324')] ).

cnf(4150,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4149,3]),
    [iquote('hyper,4149,3')] ).

cnf(4151,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4150,252,310]),
    [iquote('hyper,4150,252,310')] ).

cnf(4152,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4151,162,4138]),
    [iquote('hyper,4151,162,4138')] ).

cnf(4153,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4152,224,4148]),
    [iquote('hyper,4152,224,4148')] ).

cnf(4154,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4153,200,320]),
    [iquote('hyper,4153,200,320')] ).

cnf(4155,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4154,250,4150]),
    [iquote('hyper,4154,250,4150')] ).

cnf(4156,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4155,238,337]),
    [iquote('hyper,4155,238,337')] ).

cnf(4157,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4156,158,4138]),
    [iquote('hyper,4156,158,4138')] ).

cnf(4158,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4157,134,338]),
    [iquote('hyper,4157,134,338')] ).

cnf(4159,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4158,206,320]),
    [iquote('hyper,4158,206,320')] ).

cnf(4160,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4159,254,310]),
    [iquote('hyper,4159,254,310')] ).

cnf(4161,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4159,250,4100]),
    [iquote('hyper,4159,250,4100')] ).

cnf(4162,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4111,98,272]),
    [iquote('hyper,4111,98,272')] ).

cnf(4163,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4161,238,337]),
    [iquote('hyper,4161,238,337')] ).

cnf(4164,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4163,186,292]),
    [iquote('hyper,4163,186,292')] ).

cnf(4165,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4164,78,268]),
    [iquote('hyper,4164,78,268')] ).

cnf(4166,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4165,2]),
    [iquote('hyper,4165,2')] ).

cnf(4167,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4112,250,3993]),
    [iquote('hyper,4112,250,3993')] ).

cnf(4168,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4166,179,326]),
    [iquote('hyper,4166,179,326')] ).

cnf(4169,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4168,222,324]),
    [iquote('hyper,4168,222,324')] ).

cnf(4170,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4169,3]),
    [iquote('hyper,4169,3')] ).

cnf(4172,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4170,250,4159]),
    [iquote('hyper,4170,250,4159')] ).

cnf(4174,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4172,238,337]),
    [iquote('hyper,4172,238,337')] ).

cnf(4175,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4174,186,292]),
    [iquote('hyper,4174,186,292')] ).

cnf(4176,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4175,78,268]),
    [iquote('hyper,4175,78,268')] ).

cnf(4177,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4176,2]),
    [iquote('hyper,4176,2')] ).

cnf(4178,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4119,98,272]),
    [iquote('hyper,4119,98,272')] ).

cnf(4180,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4160,156,4177]),
    [iquote('hyper,4160,156,4177')] ).

cnf(4181,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4180,238,337]),
    [iquote('hyper,4180,238,337')] ).

cnf(4182,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4181,228,324]),
    [iquote('hyper,4181,228,324')] ).

cnf(4184,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4182,3]),
    [iquote('hyper,4182,3')] ).

cnf(4185,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4184,250,4159]),
    [iquote('hyper,4184,250,4159')] ).

cnf(4186,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4185,238,337]),
    [iquote('hyper,4185,238,337')] ).

cnf(4190,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4186,202,4158]),
    [iquote('hyper,4186,202,4158')] ).

cnf(4191,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4190,186,292]),
    [iquote('hyper,4190,186,292')] ).

cnf(4192,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4191,78,268]),
    [iquote('hyper,4191,78,268')] ).

cnf(4193,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4192,2]),
    [iquote('hyper,4192,2')] ).

cnf(4195,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4140,228,324]),
    [iquote('hyper,4140,228,324')] ).

cnf(4198,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4193,140,4106]),
    [iquote('hyper,4193,140,4106')] ).

cnf(4200,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4167,240,306]),
    [iquote('hyper,4167,240,306')] ).

cnf(4201,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4198,210,296]),
    [iquote('hyper,4198,210,296')] ).

cnf(4202,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4162,10,3296]),
    [iquote('hyper,4162,10,3296')] ).

cnf(4203,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4201,96,4047]),
    [iquote('hyper,4201,96,4047')] ).

cnf(4204,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4203,184,316]),
    [iquote('hyper,4203,184,316')] ).

cnf(4205,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4204,238,4103]),
    [iquote('hyper,4204,238,4103')] ).

cnf(4206,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4205,179,326]),
    [iquote('hyper,4205,179,326')] ).

cnf(4208,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4206,222,324]),
    [iquote('hyper,4206,222,324')] ).

cnf(4209,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4208,3]),
    [iquote('hyper,4208,3')] ).

cnf(4211,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4209,250,4048]),
    [iquote('hyper,4209,250,4048')] ).

cnf(4213,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4211,240,306]),
    [iquote('hyper,4211,240,306')] ).

cnf(4214,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4178,10,3296]),
    [iquote('hyper,4178,10,3296')] ).

cnf(4216,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4213,140,4193]),
    [iquote('hyper,4213,140,4193')] ).

cnf(4217,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4216,210,296]),
    [iquote('hyper,4216,210,296')] ).

cnf(4219,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4217,96,4047]),
    [iquote('hyper,4217,96,4047')] ).

cnf(4220,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4219,184,316]),
    [iquote('hyper,4219,184,316')] ).

cnf(4221,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4220,238,4211]),
    [iquote('hyper,4220,238,4211')] ).

cnf(4223,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4221,156,4050]),
    [iquote('hyper,4221,156,4050')] ).

cnf(4225,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4223,240,306]),
    [iquote('hyper,4223,240,306')] ).

cnf(4226,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4202,166,286]),
    [iquote('hyper,4202,166,286')] ).

cnf(4228,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4195,3]),
    [iquote('hyper,4195,3')] ).

cnf(4231,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4225,140,4193]),
    [iquote('hyper,4225,140,4193')] ).

cnf(4232,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4231,228,324]),
    [iquote('hyper,4231,228,324')] ).

cnf(4234,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4226,54,262]),
    [iquote('hyper,4226,54,262')] ).

cnf(4239,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4200,134,4234]),
    [iquote('hyper,4200,134,4234')] ).

cnf(4240,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4232,3]),
    [iquote('hyper,4232,3')] ).

cnf(4241,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4240,250,4048]),
    [iquote('hyper,4240,250,4048')] ).

cnf(4243,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4241,240,306]),
    [iquote('hyper,4241,240,306')] ).

cnf(4246,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4214,184,316]),
    [iquote('hyper,4214,184,316')] ).

cnf(4247,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4243,140,4193]),
    [iquote('hyper,4243,140,4193')] ).

cnf(4249,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4247,204,296]),
    [iquote('hyper,4247,204,296')] ).

cnf(4250,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4249,96,4047]),
    [iquote('hyper,4249,96,4047')] ).

cnf(4251,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4250,210,296]),
    [iquote('hyper,4250,210,296')] ).

cnf(4253,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4228,250,3299]),
    [iquote('hyper,4228,250,3299')] ).

cnf(4254,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4251,96,4047]),
    [iquote('hyper,4251,96,4047')] ).

cnf(4256,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4254,184,316]),
    [iquote('hyper,4254,184,316')] ).

cnf(4257,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4256,238,4223]),
    [iquote('hyper,4256,238,4223')] ).

cnf(4258,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4257,228,324]),
    [iquote('hyper,4257,228,324')] ).

cnf(4260,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4258,3]),
    [iquote('hyper,4258,3')] ).

cnf(4261,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4260,250,4048]),
    [iquote('hyper,4260,250,4048')] ).

cnf(4263,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4261,238,4256]),
    [iquote('hyper,4261,238,4256')] ).

cnf(4265,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4263,204,296]),
    [iquote('hyper,4263,204,296')] ).

cnf(4267,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4265,96,4047]),
    [iquote('hyper,4265,96,4047')] ).

cnf(4269,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4267,162,4102]),
    [iquote('hyper,4267,162,4102')] ).

cnf(4270,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_5
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4269,232,300]),
    [iquote('hyper,4269,232,300')] ).

cnf(4272,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4270,112,4096]),
    [iquote('hyper,4270,112,4096')] ).

cnf(4273,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4272,200,320]),
    [iquote('hyper,4272,200,320')] ).

cnf(4274,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4273,250,4100]),
    [iquote('hyper,4273,250,4100')] ).

cnf(4275,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4274,240,306]),
    [iquote('hyper,4274,240,306')] ).

cnf(4276,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4239,202,4076]),
    [iquote('hyper,4239,202,4076')] ).

cnf(4277,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4275,140,4193]),
    [iquote('hyper,4275,140,4193')] ).

cnf(4278,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4277,202,4272]),
    [iquote('hyper,4277,202,4272')] ).

cnf(4279,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4278,184,316]),
    [iquote('hyper,4278,184,316')] ).

cnf(4280,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4279,238,4274]),
    [iquote('hyper,4279,238,4274')] ).

cnf(4281,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4280,179,326]),
    [iquote('hyper,4280,179,326')] ).

cnf(4282,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4281,222,324]),
    [iquote('hyper,4281,222,324')] ).

cnf(4283,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4282,3]),
    [iquote('hyper,4282,3')] ).

cnf(4284,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4283,252,310]),
    [iquote('hyper,4283,252,310')] ).

cnf(4285,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4284,162,4267]),
    [iquote('hyper,4284,162,4267')] ).

cnf(4286,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4285,224,4281]),
    [iquote('hyper,4285,224,4281')] ).

cnf(4287,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4286,200,320]),
    [iquote('hyper,4286,200,320')] ).

cnf(4288,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4287,250,4283]),
    [iquote('hyper,4287,250,4283')] ).

cnf(4289,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4246,238,3996]),
    [iquote('hyper,4246,238,3996')] ).

cnf(4290,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4288,240,306]),
    [iquote('hyper,4288,240,306')] ).

cnf(4291,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4290,140,4193]),
    [iquote('hyper,4290,140,4193')] ).

cnf(4292,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4291,202,4286]),
    [iquote('hyper,4291,202,4286')] ).

cnf(4293,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4292,184,316]),
    [iquote('hyper,4292,184,316')] ).

cnf(4295,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4253,238,4093]),
    [iquote('hyper,4253,238,4093')] ).

cnf(4296,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4293,238,4288]),
    [iquote('hyper,4293,238,4288')] ).

cnf(4297,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4296,158,4267]),
    [iquote('hyper,4296,158,4267')] ).

cnf(4298,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[4297,136,4193]),
    [iquote('hyper,4297,136,4193')] ).

cnf(4299,plain,
    ( horizontal_1_1
    | vertical_1_1
    | horizontal_1_5
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[4298,76,268]),
    [iquote('hyper,4298,76,268')] ).

cnf(4301,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[4299,2]),
    [iquote('hyper,4299,2')] ).

cnf(4302,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4301,30,3328]),
    [iquote('hyper,4301,30,3328')] ).

cnf(4304,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4276,184,316]),
    [iquote('hyper,4276,184,316')] ).

cnf(4305,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[4304,238,4167]),
    [iquote('hyper,4304,238,4167')] ).

cnf(4307,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4305,112,335]),
    [iquote('hyper,4305,112,335')] ).

cnf(4310,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4302,210,296]),
    [iquote('hyper,4302,210,296')] ).

cnf(4315,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | vertical_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4295,204,296]),
    [iquote('hyper,4295,204,296')] ).

cnf(4324,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4307,3]),
    [iquote('hyper,4307,3')] ).

cnf(4327,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4310,98,272]),
    [iquote('hyper,4310,98,272')] ).

cnf(4330,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4324,252,310]),
    [iquote('hyper,4324,252,310')] ).

cnf(4337,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4327,10,3296]),
    [iquote('hyper,4327,10,3296')] ).

cnf(4340,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4337,184,316]),
    [iquote('hyper,4337,184,316')] ).

cnf(4341,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4340,238,3303]),
    [iquote('hyper,4340,238,3303')] ).

cnf(4343,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4341,162,341]),
    [iquote('hyper,4341,162,341')] ).

cnf(4345,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4343,224,329]),
    [iquote('hyper,4343,224,329')] ).

cnf(4347,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4345,200,320]),
    [iquote('hyper,4345,200,320')] ).

cnf(4348,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4347,250,340]),
    [iquote('hyper,4347,250,340')] ).

cnf(4349,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4348,240,306]),
    [iquote('hyper,4348,240,306')] ).

cnf(4350,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4315,98,272]),
    [iquote('hyper,4315,98,272')] ).

cnf(4353,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4349,142,282]),
    [iquote('hyper,4349,142,282')] ).

cnf(4360,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4330,164,286]),
    [iquote('hyper,4330,164,286')] ).

cnf(4380,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4353,30,4301]),
    [iquote('hyper,4353,30,4301')] ).

cnf(4381,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4380,202,4345]),
    [iquote('hyper,4380,202,4345')] ).

cnf(4384,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4381,184,316]),
    [iquote('hyper,4381,184,316')] ).

cnf(4385,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4384,238,4348]),
    [iquote('hyper,4384,238,4348')] ).

cnf(4386,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4350,10,3296]),
    [iquote('hyper,4350,10,3296')] ).

cnf(4388,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[4385,138,282]),
    [iquote('hyper,4385,138,282')] ).

cnf(4389,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[4388,30,4301]),
    [iquote('hyper,4388,30,4301')] ).

cnf(4390,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | vertical_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[4389,116,276]),
    [iquote('hyper,4389,116,276')] ).

cnf(4391,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4389,112,335]),
    [iquote('hyper,4389,112,335')] ).

cnf(4393,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4391,3]),
    [iquote('hyper,4391,3')] ).

cnf(4396,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4393,250,3299]),
    [iquote('hyper,4393,250,3299')] ).

cnf(4401,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4360,54,262]),
    [iquote('hyper,4360,54,262')] ).

cnf(4402,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4386,166,286]),
    [iquote('hyper,4386,166,286')] ).

cnf(4408,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4396,240,306]),
    [iquote('hyper,4396,240,306')] ).

cnf(4410,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4402,54,262]),
    [iquote('hyper,4402,54,262')] ).

cnf(4412,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[4410,138,282]),
    [iquote('hyper,4410,138,282')] ).

cnf(4413,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[4412,30,2793]),
    [iquote('hyper,4412,30,2793')] ).

cnf(4414,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4413,118,3991]),
    [iquote('hyper,4413,118,3991')] ).

cnf(4417,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4401,232,300]),
    [iquote('hyper,4401,232,300')] ).

cnf(4425,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_6
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4414,183,290]),
    [iquote('hyper,4414,183,290')] ).

cnf(4432,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4417,112,4305]),
    [iquote('hyper,4417,112,4305')] ).

cnf(4435,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4432,200,320]),
    [iquote('hyper,4432,200,320')] ).

cnf(4438,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4425,69,3987]),
    [iquote('hyper,4425,69,3987')] ).

cnf(4440,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4438,158,4289]),
    [iquote('hyper,4438,158,4289')] ).

cnf(4443,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[4440,138,282]),
    [iquote('hyper,4440,138,282')] ).

cnf(4444,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[4443,30,2793]),
    [iquote('hyper,4443,30,2793')] ).

cnf(4445,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[4444,114,4413]),
    [iquote('hyper,4444,114,4413')] ).

cnf(4447,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[4445,94,272]),
    [iquote('hyper,4445,94,272')] ).

cnf(4448,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[4447,10,3296]),
    [iquote('hyper,4447,10,3296')] ).

cnf(4449,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[4448,100,272]),
    [iquote('hyper,4448,100,272')] ).

cnf(4452,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[4449,10,3296]),
    [iquote('hyper,4449,10,3296')] ).

cnf(4454,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4452,74,325]),
    [iquote('hyper,4452,74,325')] ).

cnf(4455,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4454,242,306]),
    [iquote('hyper,4454,242,306')] ).

cnf(4457,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4454,238,3996]),
    [iquote('hyper,4454,238,3996')] ).

cnf(4460,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4408,142,282]),
    [iquote('hyper,4408,142,282')] ).

cnf(4461,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4457,162,3995]),
    [iquote('hyper,4457,162,3995')] ).

cnf(4463,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4461,224,3989]),
    [iquote('hyper,4461,224,3989')] ).

cnf(4464,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4463,200,320]),
    [iquote('hyper,4463,200,320')] ).

cnf(4466,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4464,250,3993]),
    [iquote('hyper,4464,250,3993')] ).

cnf(4467,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4466,238,4454]),
    [iquote('hyper,4466,238,4454')] ).

cnf(4469,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4467,134,4455]),
    [iquote('hyper,4467,134,4455')] ).

cnf(4470,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4469,206,320]),
    [iquote('hyper,4469,206,320')] ).

cnf(4471,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4470,250,3993]),
    [iquote('hyper,4470,250,3993')] ).

cnf(4472,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4471,238,4454]),
    [iquote('hyper,4471,238,4454')] ).

cnf(4473,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4472,186,292]),
    [iquote('hyper,4472,186,292')] ).

cnf(4474,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4473,74,4452]),
    [iquote('hyper,4473,74,4452')] ).

cnf(4475,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4474,140,4023]),
    [iquote('hyper,4474,140,4023')] ).

cnf(4476,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4475,210,296]),
    [iquote('hyper,4475,210,296')] ).

cnf(4477,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4476,98,272]),
    [iquote('hyper,4476,98,272')] ).

cnf(4478,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4477,10,3296]),
    [iquote('hyper,4477,10,3296')] ).

cnf(4479,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4478,184,316]),
    [iquote('hyper,4478,184,316')] ).

cnf(4480,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4479,238,3996]),
    [iquote('hyper,4479,238,3996')] ).

cnf(4481,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4480,162,3995]),
    [iquote('hyper,4480,162,3995')] ).

cnf(4483,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4481,224,3989]),
    [iquote('hyper,4481,224,3989')] ).

cnf(4484,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4483,200,320]),
    [iquote('hyper,4483,200,320')] ).

cnf(4485,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4484,250,3993]),
    [iquote('hyper,4484,250,3993')] ).

cnf(4486,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4485,240,306]),
    [iquote('hyper,4485,240,306')] ).

cnf(4489,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4486,140,4474]),
    [iquote('hyper,4486,140,4474')] ).

cnf(4490,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4489,202,4483]),
    [iquote('hyper,4489,202,4483')] ).

cnf(4491,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4490,184,316]),
    [iquote('hyper,4490,184,316')] ).

cnf(4492,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4491,238,4485]),
    [iquote('hyper,4491,238,4485')] ).

cnf(4494,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[4492,136,4474]),
    [iquote('hyper,4492,136,4474')] ).

cnf(4495,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4494,112,335]),
    [iquote('hyper,4494,112,335')] ).

cnf(4496,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4495,3]),
    [iquote('hyper,4495,3')] ).

cnf(4499,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4496,250,3299]),
    [iquote('hyper,4496,250,3299')] ).

cnf(4502,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4499,238,4454]),
    [iquote('hyper,4499,238,4454')] ).

cnf(4503,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4502,179,326]),
    [iquote('hyper,4502,179,326')] ).

cnf(4504,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4503,222,324]),
    [iquote('hyper,4503,222,324')] ).

cnf(4505,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4435,250,4496]),
    [iquote('hyper,4435,250,4496')] ).

cnf(4506,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4505,240,306]),
    [iquote('hyper,4505,240,306')] ).

cnf(4507,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4505,238,4454]),
    [iquote('hyper,4505,238,4454')] ).

cnf(4509,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4507,179,326]),
    [iquote('hyper,4507,179,326')] ).

cnf(4510,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4509,222,324]),
    [iquote('hyper,4509,222,324')] ).

cnf(4511,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4504,3]),
    [iquote('hyper,4504,3')] ).

cnf(4513,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4511,250,3299]),
    [iquote('hyper,4511,250,3299')] ).

cnf(4515,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4513,238,4454]),
    [iquote('hyper,4513,238,4454')] ).

cnf(4516,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4515,160,286]),
    [iquote('hyper,4515,160,286')] ).

cnf(4518,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4510,3]),
    [iquote('hyper,4510,3')] ).

cnf(4520,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4516,54,262]),
    [iquote('hyper,4516,54,262')] ).

cnf(4521,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4520,166,286]),
    [iquote('hyper,4520,166,286')] ).

cnf(4523,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[4521,54,262]),
    [iquote('hyper,4521,54,262')] ).

cnf(4525,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4523,134,4455]),
    [iquote('hyper,4523,134,4455')] ).

cnf(4526,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4525,206,320]),
    [iquote('hyper,4525,206,320')] ).

cnf(4531,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4460,30,4301]),
    [iquote('hyper,4460,30,4301')] ).

cnf(4533,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4526,250,4518]),
    [iquote('hyper,4526,250,4518')] ).

cnf(4546,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4531,210,296]),
    [iquote('hyper,4531,210,296')] ).

cnf(4548,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4533,238,4454]),
    [iquote('hyper,4533,238,4454')] ).

cnf(4549,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_3_1
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4548,186,292]),
    [iquote('hyper,4548,186,292')] ).

cnf(4551,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4549,74,4452]),
    [iquote('hyper,4549,74,4452')] ).

cnf(4552,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4551,160,286]),
    [iquote('hyper,4551,160,286')] ).

cnf(4553,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[4552,54,262]),
    [iquote('hyper,4552,54,262')] ).

cnf(4567,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4506,140,4553]),
    [iquote('hyper,4506,140,4553')] ).

cnf(4587,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4546,98,272]),
    [iquote('hyper,4546,98,272')] ).

cnf(4617,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4567,202,4432]),
    [iquote('hyper,4567,202,4432')] ).

cnf(4619,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4617,184,316]),
    [iquote('hyper,4617,184,316')] ).

cnf(4634,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4587,10,3296]),
    [iquote('hyper,4587,10,3296')] ).

cnf(4655,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4619,238,4505]),
    [iquote('hyper,4619,238,4505')] ).

cnf(4679,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4634,184,316]),
    [iquote('hyper,4634,184,316')] ).

cnf(4687,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4655,179,326]),
    [iquote('hyper,4655,179,326')] ).

cnf(4698,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4687,222,324]),
    [iquote('hyper,4687,222,324')] ).

cnf(4725,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4679,238,4396]),
    [iquote('hyper,4679,238,4396')] ).

cnf(4728,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[4725,179,326]),
    [iquote('hyper,4725,179,326')] ).

cnf(4756,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4698,3]),
    [iquote('hyper,4698,3')] ).

cnf(4758,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4728,222,324]),
    [iquote('hyper,4728,222,324')] ).

cnf(4773,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4756,252,310]),
    [iquote('hyper,4756,252,310')] ).

cnf(4795,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[4758,3]),
    [iquote('hyper,4758,3')] ).

cnf(4804,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4773,164,286]),
    [iquote('hyper,4773,164,286')] ).

cnf(4808,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4795,250,3299]),
    [iquote('hyper,4795,250,3299')] ).

cnf(4810,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | vertical_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4808,240,306]),
    [iquote('hyper,4808,240,306')] ).

cnf(4847,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4804,54,262]),
    [iquote('hyper,4804,54,262')] ).

cnf(4863,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4810,142,282]),
    [iquote('hyper,4810,142,282')] ).

cnf(4900,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4847,224,4687]),
    [iquote('hyper,4847,224,4687')] ).

cnf(4904,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4900,200,320]),
    [iquote('hyper,4900,200,320')] ).

cnf(4914,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4904,250,4756]),
    [iquote('hyper,4904,250,4756')] ).

cnf(4915,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4914,240,306]),
    [iquote('hyper,4914,240,306')] ).

cnf(4916,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4863,30,4301]),
    [iquote('hyper,4863,30,4301')] ).

cnf(4929,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | vertical_3_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4916,210,296]),
    [iquote('hyper,4916,210,296')] ).

cnf(4944,plain,
    ( horizontal_1_1
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4929,98,272]),
    [iquote('hyper,4929,98,272')] ).

cnf(4945,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4944,10,3296]),
    [iquote('hyper,4944,10,3296')] ).

cnf(4948,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4945,184,316]),
    [iquote('hyper,4945,184,316')] ).

cnf(4950,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4948,238,4808]),
    [iquote('hyper,4948,238,4808')] ).

cnf(4951,plain,
    ( horizontal_1_1
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4950,160,286]),
    [iquote('hyper,4950,160,286')] ).

cnf(4955,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4915,140,4553]),
    [iquote('hyper,4915,140,4553')] ).

cnf(4956,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[4955,202,4900]),
    [iquote('hyper,4955,202,4900')] ).

cnf(4957,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[4956,184,316]),
    [iquote('hyper,4956,184,316')] ).

cnf(4958,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4957,238,4914]),
    [iquote('hyper,4957,238,4914')] ).

cnf(4959,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[4958,160,286]),
    [iquote('hyper,4958,160,286')] ).

cnf(4961,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[4959,54,262]),
    [iquote('hyper,4959,54,262')] ).

cnf(4962,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[4961,114,4494]),
    [iquote('hyper,4961,114,4494')] ).

cnf(4964,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[4962,94,272]),
    [iquote('hyper,4962,94,272')] ).

cnf(4965,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[4964,10,3296]),
    [iquote('hyper,4964,10,3296')] ).

cnf(4967,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[4965,50,262]),
    [iquote('hyper,4965,50,262')] ).

cnf(4968,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[4967,56,262]),
    [iquote('hyper,4967,56,262')] ).

cnf(4969,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_4 ),
    inference(hyper,[status(thm)],[4968,26,2793]),
    [iquote('hyper,4968,26,2793')] ).

cnf(4970,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[4969,20,4390]),
    [iquote('hyper,4969,20,4390')] ).

cnf(4971,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[4969,20,346]),
    [iquote('hyper,4969,20,346')] ).

cnf(4974,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | vertical_2_6
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4971,183,290]),
    [iquote('hyper,4971,183,290')] ).

cnf(4983,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[4974,71,266]),
    [iquote('hyper,4974,71,266')] ).

cnf(4986,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[4983,156,341]),
    [iquote('hyper,4983,156,341')] ).

cnf(4987,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[4986,224,329]),
    [iquote('hyper,4986,224,329')] ).

cnf(4989,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[4987,204,296]),
    [iquote('hyper,4987,204,296')] ).

cnf(4990,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[4987,200,320]),
    [iquote('hyper,4987,200,320')] ).

cnf(4991,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[4990,250,340]),
    [iquote('hyper,4990,250,340')] ).

cnf(4992,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4991,240,306]),
    [iquote('hyper,4991,240,306')] ).

cnf(4993,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[4970,100,272]),
    [iquote('hyper,4970,100,272')] ).

cnf(5003,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | vertical_2_2
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[4992,142,282]),
    [iquote('hyper,4992,142,282')] ).

cnf(5004,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[4993,10,3296]),
    [iquote('hyper,4993,10,3296')] ).

cnf(5006,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5004,74,325]),
    [iquote('hyper,5004,74,325')] ).

cnf(5008,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5006,238,4991]),
    [iquote('hyper,5006,238,4991')] ).

cnf(5012,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5008,140,4992]),
    [iquote('hyper,5008,140,4992')] ).

cnf(5014,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5012,202,4987]),
    [iquote('hyper,5012,202,4987')] ).

cnf(5016,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5014,184,316]),
    [iquote('hyper,5014,184,316')] ).

cnf(5017,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[5016,238,4991]),
    [iquote('hyper,5016,238,4991')] ).

cnf(5018,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | vertical_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[5017,116,276]),
    [iquote('hyper,5017,116,276')] ).

cnf(5019,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[5018,20,4969]),
    [iquote('hyper,5018,20,4969')] ).

cnf(5020,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[5019,73,266]),
    [iquote('hyper,5019,73,266')] ).

cnf(5021,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[5020,46,4951]),
    [iquote('hyper,5020,46,4951')] ).

cnf(5033,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5003,30,4301]),
    [iquote('hyper,5003,30,4301')] ).

cnf(5034,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5033,202,4987]),
    [iquote('hyper,5033,202,4987')] ).

cnf(5037,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5034,184,316]),
    [iquote('hyper,5034,184,316')] ).

cnf(5038,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[5037,238,4991]),
    [iquote('hyper,5037,238,4991')] ).

cnf(5040,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[5038,116,276]),
    [iquote('hyper,5038,116,276')] ).

cnf(5041,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[5040,20,4969]),
    [iquote('hyper,5040,20,4969')] ).

cnf(5042,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[5041,96,4989]),
    [iquote('hyper,5041,96,4989')] ).

cnf(5045,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[5042,158,4983]),
    [iquote('hyper,5042,158,4983')] ).

cnf(5049,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5045,134,4992]),
    [iquote('hyper,5045,134,4992')] ).

cnf(5050,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5049,202,4987]),
    [iquote('hyper,5049,202,4987')] ).

cnf(5052,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5050,184,316]),
    [iquote('hyper,5050,184,316')] ).

cnf(5053,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[5052,238,4991]),
    [iquote('hyper,5052,238,4991')] ).

cnf(5054,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[5053,116,276]),
    [iquote('hyper,5053,116,276')] ).

cnf(5055,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[5054,20,4969]),
    [iquote('hyper,5054,20,4969')] ).

cnf(5057,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5055,74,325]),
    [iquote('hyper,5055,74,325')] ).

cnf(5059,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5057,238,4991]),
    [iquote('hyper,5057,238,4991')] ).

cnf(5061,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5059,140,4992]),
    [iquote('hyper,5059,140,4992')] ).

cnf(5062,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5061,202,4987]),
    [iquote('hyper,5061,202,4987')] ).

cnf(5063,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5062,184,316]),
    [iquote('hyper,5062,184,316')] ).

cnf(5066,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[5063,238,4991]),
    [iquote('hyper,5063,238,4991')] ).

cnf(5067,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | vertical_1_5
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[5066,116,276]),
    [iquote('hyper,5066,116,276')] ).

cnf(5068,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4
    | horizontal_2_5 ),
    inference(hyper,[status(thm)],[5067,20,4969]),
    [iquote('hyper,5067,20,4969')] ).

cnf(5069,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[5068,73,266]),
    [iquote('hyper,5068,73,266')] ).

cnf(5070,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[5021,166,286]),
    [iquote('hyper,5021,166,286')] ).

cnf(5089,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[5070,46,5069]),
    [iquote('hyper,5070,46,5069')] ).

cnf(5091,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | vertical_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[5089,138,282]),
    [iquote('hyper,5089,138,282')] ).

cnf(5094,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[5091,30,4301]),
    [iquote('hyper,5091,30,4301')] ).

cnf(5095,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[5094,114,4389]),
    [iquote('hyper,5094,114,4389')] ).

cnf(5097,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[5095,94,272]),
    [iquote('hyper,5095,94,272')] ).

cnf(5098,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[5097,10,3296]),
    [iquote('hyper,5097,10,3296')] ).

cnf(5099,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[5098,100,272]),
    [iquote('hyper,5098,100,272')] ).

cnf(5102,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[5099,10,3296]),
    [iquote('hyper,5099,10,3296')] ).

cnf(5104,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5102,74,325]),
    [iquote('hyper,5102,74,325')] ).

cnf(5105,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5104,242,306]),
    [iquote('hyper,5104,242,306')] ).

cnf(5108,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[5104,238,3303]),
    [iquote('hyper,5104,238,3303')] ).

cnf(5111,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5108,162,341]),
    [iquote('hyper,5108,162,341')] ).

cnf(5118,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5111,224,329]),
    [iquote('hyper,5111,224,329')] ).

cnf(5119,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5118,200,320]),
    [iquote('hyper,5118,200,320')] ).

cnf(5120,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5119,250,340]),
    [iquote('hyper,5119,250,340')] ).

cnf(5121,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[5120,238,5104]),
    [iquote('hyper,5120,238,5104')] ).

cnf(5123,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5121,134,5105]),
    [iquote('hyper,5121,134,5105')] ).

cnf(5124,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5123,206,320]),
    [iquote('hyper,5123,206,320')] ).

cnf(5126,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5124,250,340]),
    [iquote('hyper,5124,250,340')] ).

cnf(5127,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5126,238,5104]),
    [iquote('hyper,5126,238,5104')] ).

cnf(5128,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5127,186,292]),
    [iquote('hyper,5127,186,292')] ).

cnf(5129,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5128,74,5102]),
    [iquote('hyper,5128,74,5102')] ).

cnf(5131,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5129,140,3306]),
    [iquote('hyper,5129,140,3306')] ).

cnf(5138,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5131,210,296]),
    [iquote('hyper,5131,210,296')] ).

cnf(5139,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5138,98,272]),
    [iquote('hyper,5138,98,272')] ).

cnf(5140,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5139,10,3296]),
    [iquote('hyper,5139,10,3296')] ).

cnf(5141,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5140,184,316]),
    [iquote('hyper,5140,184,316')] ).

cnf(5142,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[5141,238,3303]),
    [iquote('hyper,5141,238,3303')] ).

cnf(5143,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5142,162,341]),
    [iquote('hyper,5142,162,341')] ).

cnf(5145,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5143,224,329]),
    [iquote('hyper,5143,224,329')] ).

cnf(5147,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5145,200,320]),
    [iquote('hyper,5145,200,320')] ).

cnf(5148,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5147,250,340]),
    [iquote('hyper,5147,250,340')] ).

cnf(5149,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | vertical_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5148,240,306]),
    [iquote('hyper,5148,240,306')] ).

cnf(5151,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5149,140,5129]),
    [iquote('hyper,5149,140,5129')] ).

cnf(5152,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5151,202,5145]),
    [iquote('hyper,5151,202,5145')] ).

cnf(5153,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5152,184,316]),
    [iquote('hyper,5152,184,316')] ).

cnf(5154,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[5153,238,5148]),
    [iquote('hyper,5153,238,5148')] ).

cnf(5157,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_5 ),
    inference(hyper,[status(thm)],[5154,136,5129]),
    [iquote('hyper,5154,136,5129')] ).

cnf(5158,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5157,112,335]),
    [iquote('hyper,5157,112,335')] ).

cnf(5159,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5158,3]),
    [iquote('hyper,5158,3')] ).

cnf(5161,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_4
    | vertical_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5159,252,310]),
    [iquote('hyper,5159,252,310')] ).

cnf(5162,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5159,250,3299]),
    [iquote('hyper,5159,250,3299')] ).

cnf(5168,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5161,164,286]),
    [iquote('hyper,5161,164,286')] ).

cnf(5171,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[5162,238,5104]),
    [iquote('hyper,5162,238,5104')] ).

cnf(5173,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[5171,179,326]),
    [iquote('hyper,5171,179,326')] ).

cnf(5175,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5173,222,324]),
    [iquote('hyper,5173,222,324')] ).

cnf(5179,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5175,3]),
    [iquote('hyper,5175,3')] ).

cnf(5181,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5179,250,3299]),
    [iquote('hyper,5179,250,3299')] ).

cnf(5183,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[5181,238,5104]),
    [iquote('hyper,5181,238,5104')] ).

cnf(5185,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5183,156,3301]),
    [iquote('hyper,5183,156,3301')] ).

cnf(5196,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5185,238,5104]),
    [iquote('hyper,5185,238,5104')] ).

cnf(5197,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5196,228,324]),
    [iquote('hyper,5196,228,324')] ).

cnf(5202,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5197,3]),
    [iquote('hyper,5197,3')] ).

cnf(5203,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5202,250,3299]),
    [iquote('hyper,5202,250,3299')] ).

cnf(5205,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5203,238,5104]),
    [iquote('hyper,5203,238,5104')] ).

cnf(5206,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5168,46,5069]),
    [iquote('hyper,5168,46,5069')] ).

cnf(5208,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[5205,204,296]),
    [iquote('hyper,5205,204,296')] ).

cnf(5209,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[5208,98,272]),
    [iquote('hyper,5208,98,272')] ).

cnf(5210,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[5209,10,3296]),
    [iquote('hyper,5209,10,3296')] ).

cnf(5211,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5210,162,5161]),
    [iquote('hyper,5210,162,5161')] ).

cnf(5214,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | vertical_3_5
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5206,232,300]),
    [iquote('hyper,5206,232,300')] ).

cnf(5216,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_5
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5211,232,300]),
    [iquote('hyper,5211,232,300')] ).

cnf(5217,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5214,112,5157]),
    [iquote('hyper,5214,112,5157')] ).

cnf(5221,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5217,200,320]),
    [iquote('hyper,5217,200,320')] ).

cnf(5222,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5216,112,5157]),
    [iquote('hyper,5216,112,5157')] ).

cnf(5223,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5222,200,320]),
    [iquote('hyper,5222,200,320')] ).

cnf(5227,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5221,250,5159]),
    [iquote('hyper,5221,250,5159')] ).

cnf(5228,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5227,240,306]),
    [iquote('hyper,5227,240,306')] ).

cnf(5232,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5223,250,5159]),
    [iquote('hyper,5223,250,5159')] ).

cnf(5233,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[5232,238,5104]),
    [iquote('hyper,5232,238,5104')] ).

cnf(5234,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[5233,179,326]),
    [iquote('hyper,5233,179,326')] ).

cnf(5236,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5234,222,324]),
    [iquote('hyper,5234,222,324')] ).

cnf(5237,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5236,3]),
    [iquote('hyper,5236,3')] ).

cnf(5238,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5237,252,310]),
    [iquote('hyper,5237,252,310')] ).

cnf(5244,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5238,162,5210]),
    [iquote('hyper,5238,162,5210')] ).

cnf(5245,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5244,224,5234]),
    [iquote('hyper,5244,224,5234')] ).

cnf(5246,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5245,200,320]),
    [iquote('hyper,5245,200,320')] ).

cnf(5248,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5246,250,5237]),
    [iquote('hyper,5246,250,5237')] ).

cnf(5249,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[5248,238,5104]),
    [iquote('hyper,5248,238,5104')] ).

cnf(5250,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[5249,158,5210]),
    [iquote('hyper,5249,158,5210')] ).

cnf(5252,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5250,134,5105]),
    [iquote('hyper,5250,134,5105')] ).

cnf(5254,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5252,206,320]),
    [iquote('hyper,5252,206,320')] ).

cnf(5255,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | vertical_4_4
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5254,254,310]),
    [iquote('hyper,5254,254,310')] ).

cnf(5256,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5254,250,5159]),
    [iquote('hyper,5254,250,5159')] ).

cnf(5257,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5256,238,5104]),
    [iquote('hyper,5256,238,5104')] ).

cnf(5258,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[5257,186,292]),
    [iquote('hyper,5257,186,292')] ).

cnf(5259,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[5258,74,5102]),
    [iquote('hyper,5258,74,5102')] ).

cnf(5260,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[5259,179,326]),
    [iquote('hyper,5259,179,326')] ).

cnf(5261,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5260,222,324]),
    [iquote('hyper,5260,222,324')] ).

cnf(5263,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5261,3]),
    [iquote('hyper,5261,3')] ).

cnf(5265,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5263,250,5254]),
    [iquote('hyper,5263,250,5254')] ).

cnf(5266,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5265,238,5104]),
    [iquote('hyper,5265,238,5104')] ).

cnf(5267,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[5266,186,292]),
    [iquote('hyper,5266,186,292')] ).

cnf(5269,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[5267,74,5102]),
    [iquote('hyper,5267,74,5102')] ).

cnf(5270,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5269,160,286]),
    [iquote('hyper,5269,160,286')] ).

cnf(5271,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5270,46,5069]),
    [iquote('hyper,5270,46,5069')] ).

cnf(5282,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5228,140,5271]),
    [iquote('hyper,5228,140,5271')] ).

cnf(5286,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5255,156,5269]),
    [iquote('hyper,5255,156,5269')] ).

cnf(5288,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5286,238,5104]),
    [iquote('hyper,5286,238,5104')] ).

cnf(5289,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5288,228,324]),
    [iquote('hyper,5288,228,324')] ).

cnf(5291,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5289,3]),
    [iquote('hyper,5289,3')] ).

cnf(5292,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5291,250,5254]),
    [iquote('hyper,5291,250,5254')] ).

cnf(5294,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5292,238,5104]),
    [iquote('hyper,5292,238,5104')] ).

cnf(5296,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5294,202,5252]),
    [iquote('hyper,5294,202,5252')] ).

cnf(5297,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5296,186,292]),
    [iquote('hyper,5296,186,292')] ).

cnf(5298,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[5297,74,5102]),
    [iquote('hyper,5297,74,5102')] ).

cnf(5304,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5282,202,5217]),
    [iquote('hyper,5282,202,5217')] ).

cnf(5305,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5304,184,316]),
    [iquote('hyper,5304,184,316')] ).

cnf(5307,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_4_5 ),
    inference(hyper,[status(thm)],[5305,238,5227]),
    [iquote('hyper,5305,238,5227')] ).

cnf(5308,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_5 ),
    inference(hyper,[status(thm)],[5307,179,326]),
    [iquote('hyper,5307,179,326')] ).

cnf(5309,plain,
    ( horizontal_1_1
    | horizontal_6_5
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5308,222,324]),
    [iquote('hyper,5308,222,324')] ).

cnf(5310,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_4 ),
    inference(hyper,[status(thm)],[5309,3]),
    [iquote('hyper,5309,3')] ).

cnf(5314,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | vertical_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5310,252,310]),
    [iquote('hyper,5310,252,310')] ).

cnf(5320,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5314,164,286]),
    [iquote('hyper,5314,164,286')] ).

cnf(5336,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[5320,46,5069]),
    [iquote('hyper,5320,46,5069')] ).

cnf(5337,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[5336,224,5308]),
    [iquote('hyper,5336,224,5308')] ).

cnf(5340,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2
    | horizontal_6_3 ),
    inference(hyper,[status(thm)],[5337,200,320]),
    [iquote('hyper,5337,200,320')] ).

cnf(5341,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_2 ),
    inference(hyper,[status(thm)],[5340,250,5310]),
    [iquote('hyper,5340,250,5310')] ).

cnf(5344,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | vertical_4_2
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5341,240,306]),
    [iquote('hyper,5341,240,306')] ).

cnf(5363,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[5344,140,5298]),
    [iquote('hyper,5344,140,5298')] ).

cnf(5366,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[5363,202,5337]),
    [iquote('hyper,5363,202,5337')] ).

cnf(5367,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4
    | horizontal_6_1 ),
    inference(hyper,[status(thm)],[5366,184,316]),
    [iquote('hyper,5366,184,316')] ).

cnf(5369,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[5367,238,5341]),
    [iquote('hyper,5367,238,5341')] ).

cnf(5370,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | vertical_2_4
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[5369,160,286]),
    [iquote('hyper,5369,160,286')] ).

cnf(5372,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[5370,46,5069]),
    [iquote('hyper,5370,46,5069')] ).

cnf(5373,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[5372,114,5157]),
    [iquote('hyper,5372,114,5157')] ).

cnf(5375,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | vertical_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[5373,94,272]),
    [iquote('hyper,5373,94,272')] ).

cnf(5376,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[5375,10,3296]),
    [iquote('hyper,5375,10,3296')] ).

cnf(5378,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[5376,48,5069]),
    [iquote('hyper,5376,48,5069')] ).

cnf(5379,plain,
    ( horizontal_1_1
    | horizontal_1_3
    | horizontal_1_5 ),
    inference(hyper,[status(thm)],[5378,26,4301]),
    [iquote('hyper,5378,26,4301')] ).

cnf(5380,plain,
    ( horizontal_1_1
    | horizontal_1_3 ),
    inference(hyper,[status(thm)],[5379,18,4969]),
    [iquote('hyper,5379,18,4969')] ).

cnf(5382,plain,
    horizontal_1_1,
    inference(hyper,[status(thm)],[5380,8,3296]),
    [iquote('hyper,5380,8,3296')] ).

cnf(5383,plain,
    $false,
    inference(binary,[status(thm)],[5382,1]),
    [iquote('binary,5382.1,1.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : PUZ015-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 01:50:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.90/2.09  ----- Otter 3.3f, August 2004 -----
% 1.90/2.09  The process was started by sandbox on n019.cluster.edu,
% 1.90/2.09  Wed Jul 27 01:50:07 2022
% 1.90/2.09  The command was "./otter".  The process ID is 14914.
% 1.90/2.09  
% 1.90/2.09  set(prolog_style_variables).
% 1.90/2.09  set(auto).
% 1.90/2.09     dependent: set(auto1).
% 1.90/2.09     dependent: set(process_input).
% 1.90/2.09     dependent: clear(print_kept).
% 1.90/2.09     dependent: clear(print_new_demod).
% 1.90/2.09     dependent: clear(print_back_demod).
% 1.90/2.09     dependent: clear(print_back_sub).
% 1.90/2.09     dependent: set(control_memory).
% 1.90/2.09     dependent: assign(max_mem, 12000).
% 1.90/2.09     dependent: assign(pick_given_ratio, 4).
% 1.90/2.09     dependent: assign(stats_level, 1).
% 1.90/2.09     dependent: assign(max_seconds, 10800).
% 1.90/2.09  clear(print_given).
% 1.90/2.09  
% 1.90/2.09  list(usable).
% 1.90/2.09  0 [] -horizontal_1_1.
% 1.90/2.09  0 [] -vertical_1_1.
% 1.90/2.09  0 [] -horizontal_6_5.
% 1.90/2.09  0 [] -vertical_5_6.
% 1.90/2.09  0 [] horizontal_1_2|vertical_1_2|horizontal_1_1.
% 1.90/2.09  0 [] horizontal_1_3|vertical_1_3|horizontal_1_2.
% 1.90/2.09  0 [] horizontal_1_4|vertical_1_4|horizontal_1_3.
% 1.90/2.09  0 [] horizontal_1_5|vertical_1_5|horizontal_1_4.
% 1.90/2.09  0 [] vertical_1_6|horizontal_1_5.
% 1.90/2.09  0 [] horizontal_2_1|vertical_2_1|vertical_1_1.
% 1.90/2.09  0 [] horizontal_2_2|vertical_2_2|horizontal_2_1|vertical_1_2.
% 1.90/2.09  0 [] horizontal_2_3|vertical_2_3|horizontal_2_2|vertical_1_3.
% 1.90/2.09  0 [] horizontal_2_4|vertical_2_4|horizontal_2_3|vertical_1_4.
% 1.90/2.09  0 [] horizontal_2_5|vertical_2_5|horizontal_2_4|vertical_1_5.
% 1.90/2.09  0 [] vertical_2_6|horizontal_2_5|vertical_1_6.
% 1.90/2.09  0 [] horizontal_3_1|vertical_3_1|vertical_2_1.
% 1.90/2.09  0 [] horizontal_3_2|vertical_3_2|horizontal_3_1|vertical_2_2.
% 1.90/2.09  0 [] horizontal_3_3|vertical_3_3|horizontal_3_2|vertical_2_3.
% 1.90/2.09  0 [] horizontal_3_4|vertical_3_4|horizontal_3_3|vertical_2_4.
% 1.90/2.09  0 [] horizontal_3_5|vertical_3_5|horizontal_3_4|vertical_2_5.
% 1.90/2.09  0 [] vertical_3_6|horizontal_3_5|vertical_2_6.
% 1.90/2.09  0 [] horizontal_4_1|vertical_4_1|vertical_3_1.
% 1.90/2.09  0 [] horizontal_4_2|vertical_4_2|horizontal_4_1|vertical_3_2.
% 1.90/2.09  0 [] horizontal_4_3|vertical_4_3|horizontal_4_2|vertical_3_3.
% 1.90/2.09  0 [] horizontal_4_4|vertical_4_4|horizontal_4_3|vertical_3_4.
% 1.90/2.09  0 [] horizontal_4_5|vertical_4_5|horizontal_4_4|vertical_3_5.
% 1.90/2.09  0 [] vertical_4_6|horizontal_4_5|vertical_3_6.
% 1.90/2.09  0 [] horizontal_5_1|vertical_5_1|vertical_4_1.
% 1.90/2.09  0 [] horizontal_5_2|vertical_5_2|horizontal_5_1|vertical_4_2.
% 1.90/2.09  0 [] horizontal_5_3|vertical_5_3|horizontal_5_2|vertical_4_3.
% 1.90/2.09  0 [] horizontal_5_4|vertical_5_4|horizontal_5_3|vertical_4_4.
% 1.90/2.09  0 [] horizontal_5_5|vertical_5_5|horizontal_5_4|vertical_4_5.
% 1.90/2.09  0 [] vertical_5_6|horizontal_5_5|vertical_4_6.
% 1.90/2.09  0 [] horizontal_6_1|vertical_5_1.
% 1.90/2.09  0 [] horizontal_6_2|horizontal_6_1|vertical_5_2.
% 1.90/2.09  0 [] horizontal_6_3|horizontal_6_2|vertical_5_3.
% 1.90/2.09  0 [] horizontal_6_4|horizontal_6_3|vertical_5_4.
% 1.90/2.09  0 [] horizontal_6_5|horizontal_6_4|vertical_5_5.
% 1.90/2.09  0 [] -horizontal_1_2| -vertical_1_2.
% 1.90/2.09  0 [] -horizontal_1_2| -horizontal_1_1.
% 1.90/2.09  0 [] -vertical_1_2| -horizontal_1_1.
% 1.90/2.09  0 [] -horizontal_1_3| -vertical_1_3.
% 1.90/2.09  0 [] -horizontal_1_3| -horizontal_1_2.
% 1.90/2.09  0 [] -vertical_1_3| -horizontal_1_2.
% 1.90/2.09  0 [] -horizontal_1_4| -vertical_1_4.
% 1.90/2.09  0 [] -horizontal_1_4| -horizontal_1_3.
% 1.90/2.09  0 [] -vertical_1_4| -horizontal_1_3.
% 1.90/2.09  0 [] -horizontal_1_5| -vertical_1_5.
% 1.90/2.09  0 [] -horizontal_1_5| -horizontal_1_4.
% 1.90/2.09  0 [] -vertical_1_5| -horizontal_1_4.
% 1.90/2.09  0 [] -vertical_1_6| -horizontal_1_5.
% 1.90/2.09  0 [] -horizontal_2_1| -vertical_2_1.
% 1.90/2.09  0 [] -horizontal_2_1| -vertical_1_1.
% 1.90/2.09  0 [] -vertical_2_1| -vertical_1_1.
% 1.90/2.09  0 [] -horizontal_2_2| -vertical_2_2.
% 1.90/2.09  0 [] -horizontal_2_2| -horizontal_2_1.
% 1.90/2.09  0 [] -horizontal_2_2| -vertical_1_2.
% 1.90/2.09  0 [] -vertical_2_2| -horizontal_2_1.
% 1.90/2.09  0 [] -vertical_2_2| -vertical_1_2.
% 1.90/2.09  0 [] -horizontal_2_1| -vertical_1_2.
% 1.90/2.09  0 [] -horizontal_2_3| -vertical_2_3.
% 1.90/2.09  0 [] -horizontal_2_3| -horizontal_2_2.
% 1.90/2.09  0 [] -horizontal_2_3| -vertical_1_3.
% 1.90/2.09  0 [] -vertical_2_3| -horizontal_2_2.
% 1.90/2.09  0 [] -vertical_2_3| -vertical_1_3.
% 1.90/2.09  0 [] -horizontal_2_2| -vertical_1_3.
% 1.90/2.09  0 [] -horizontal_2_4| -vertical_2_4.
% 1.90/2.09  0 [] -horizontal_2_4| -horizontal_2_3.
% 1.90/2.09  0 [] -horizontal_2_4| -vertical_1_4.
% 1.90/2.09  0 [] -vertical_2_4| -horizontal_2_3.
% 1.90/2.09  0 [] -vertical_2_4| -vertical_1_4.
% 1.90/2.09  0 [] -horizontal_2_3| -vertical_1_4.
% 1.90/2.09  0 [] -horizontal_2_5| -vertical_2_5.
% 1.90/2.09  0 [] -horizontal_2_5| -horizontal_2_4.
% 1.90/2.09  0 [] -horizontal_2_5| -vertical_1_5.
% 1.90/2.09  0 [] -vertical_2_5| -horizontal_2_4.
% 1.90/2.09  0 [] -vertical_2_5| -vertical_1_5.
% 1.90/2.09  0 [] -horizontal_2_4| -vertical_1_5.
% 1.90/2.09  0 [] -vertical_2_6| -horizontal_2_5.
% 1.90/2.09  0 [] -vertical_2_6| -vertical_1_6.
% 1.90/2.09  0 [] -horizontal_2_5| -vertical_1_6.
% 1.90/2.09  0 [] -horizontal_3_1| -vertical_3_1.
% 1.90/2.09  0 [] -horizontal_3_1| -vertical_2_1.
% 1.90/2.09  0 [] -vertical_3_1| -vertical_2_1.
% 1.90/2.09  0 [] -horizontal_3_2| -vertical_3_2.
% 1.90/2.09  0 [] -horizontal_3_2| -horizontal_3_1.
% 1.90/2.09  0 [] -horizontal_3_2| -vertical_2_2.
% 1.90/2.09  0 [] -vertical_3_2| -horizontal_3_1.
% 1.90/2.09  0 [] -vertical_3_2| -vertical_2_2.
% 1.90/2.09  0 [] -horizontal_3_1| -vertical_2_2.
% 1.90/2.09  0 [] -horizontal_3_3| -vertical_3_3.
% 1.90/2.09  0 [] -horizontal_3_3| -horizontal_3_2.
% 1.90/2.09  0 [] -horizontal_3_3| -vertical_2_3.
% 1.90/2.09  0 [] -vertical_3_3| -horizontal_3_2.
% 1.90/2.09  0 [] -vertical_3_3| -vertical_2_3.
% 1.90/2.09  0 [] -horizontal_3_2| -vertical_2_3.
% 1.90/2.09  0 [] -horizontal_3_4| -vertical_3_4.
% 1.90/2.09  0 [] -horizontal_3_4| -horizontal_3_3.
% 1.90/2.09  0 [] -horizontal_3_4| -vertical_2_4.
% 1.90/2.09  0 [] -vertical_3_4| -horizontal_3_3.
% 1.90/2.09  0 [] -vertical_3_4| -vertical_2_4.
% 1.90/2.09  0 [] -horizontal_3_3| -vertical_2_4.
% 1.90/2.09  0 [] -horizontal_3_5| -vertical_3_5.
% 1.90/2.09  0 [] -horizontal_3_5| -horizontal_3_4.
% 1.90/2.09  0 [] -horizontal_3_5| -vertical_2_5.
% 1.90/2.09  0 [] -vertical_3_5| -horizontal_3_4.
% 1.90/2.09  0 [] -vertical_3_5| -vertical_2_5.
% 1.90/2.09  0 [] -horizontal_3_4| -vertical_2_5.
% 1.90/2.09  0 [] -vertical_3_6| -horizontal_3_5.
% 1.90/2.09  0 [] -vertical_3_6| -vertical_2_6.
% 1.90/2.09  0 [] -horizontal_3_5| -vertical_2_6.
% 1.90/2.09  0 [] -horizontal_4_1| -vertical_4_1.
% 1.90/2.09  0 [] -horizontal_4_1| -vertical_3_1.
% 1.90/2.09  0 [] -vertical_4_1| -vertical_3_1.
% 1.90/2.09  0 [] -horizontal_4_2| -vertical_4_2.
% 1.90/2.09  0 [] -horizontal_4_2| -horizontal_4_1.
% 1.90/2.09  0 [] -horizontal_4_2| -vertical_3_2.
% 1.90/2.09  0 [] -vertical_4_2| -horizontal_4_1.
% 1.90/2.09  0 [] -vertical_4_2| -vertical_3_2.
% 1.90/2.09  0 [] -horizontal_4_1| -vertical_3_2.
% 1.90/2.09  0 [] -horizontal_4_3| -vertical_4_3.
% 1.90/2.09  0 [] -horizontal_4_3| -horizontal_4_2.
% 1.90/2.09  0 [] -horizontal_4_3| -vertical_3_3.
% 1.90/2.09  0 [] -vertical_4_3| -horizontal_4_2.
% 1.90/2.09  0 [] -vertical_4_3| -vertical_3_3.
% 1.90/2.09  0 [] -horizontal_4_2| -vertical_3_3.
% 1.90/2.09  0 [] -horizontal_4_4| -vertical_4_4.
% 1.90/2.09  0 [] -horizontal_4_4| -horizontal_4_3.
% 1.90/2.09  0 [] -horizontal_4_4| -vertical_3_4.
% 1.90/2.09  0 [] -vertical_4_4| -horizontal_4_3.
% 1.90/2.09  0 [] -vertical_4_4| -vertical_3_4.
% 1.90/2.09  0 [] -horizontal_4_3| -vertical_3_4.
% 1.90/2.09  0 [] -horizontal_4_5| -vertical_4_5.
% 1.90/2.09  0 [] -horizontal_4_5| -horizontal_4_4.
% 1.90/2.09  0 [] -horizontal_4_5| -vertical_3_5.
% 1.90/2.09  0 [] -vertical_4_5| -horizontal_4_4.
% 1.90/2.09  0 [] -vertical_4_5| -vertical_3_5.
% 1.90/2.09  0 [] -horizontal_4_4| -vertical_3_5.
% 1.90/2.09  0 [] -vertical_4_6| -horizontal_4_5.
% 1.90/2.09  0 [] -vertical_4_6| -vertical_3_6.
% 1.90/2.09  0 [] -horizontal_4_5| -vertical_3_6.
% 1.90/2.09  0 [] -horizontal_5_1| -vertical_5_1.
% 1.90/2.09  0 [] -horizontal_5_1| -vertical_4_1.
% 1.90/2.09  0 [] -vertical_5_1| -vertical_4_1.
% 1.90/2.09  0 [] -horizontal_5_2| -vertical_5_2.
% 1.90/2.09  0 [] -horizontal_5_2| -horizontal_5_1.
% 1.90/2.09  0 [] -horizontal_5_2| -vertical_4_2.
% 1.90/2.09  0 [] -vertical_5_2| -horizontal_5_1.
% 1.90/2.09  0 [] -vertical_5_2| -vertical_4_2.
% 1.90/2.09  0 [] -horizontal_5_1| -vertical_4_2.
% 1.90/2.09  0 [] -horizontal_5_3| -vertical_5_3.
% 1.90/2.09  0 [] -horizontal_5_3| -horizontal_5_2.
% 1.90/2.09  0 [] -horizontal_5_3| -vertical_4_3.
% 1.90/2.09  0 [] -vertical_5_3| -horizontal_5_2.
% 1.90/2.09  0 [] -vertical_5_3| -vertical_4_3.
% 1.90/2.09  0 [] -horizontal_5_2| -vertical_4_3.
% 1.90/2.09  0 [] -horizontal_5_4| -vertical_5_4.
% 1.90/2.09  0 [] -horizontal_5_4| -horizontal_5_3.
% 1.90/2.09  0 [] -horizontal_5_4| -vertical_4_4.
% 1.90/2.09  0 [] -vertical_5_4| -horizontal_5_3.
% 1.90/2.09  0 [] -vertical_5_4| -vertical_4_4.
% 1.90/2.09  0 [] -horizontal_5_3| -vertical_4_4.
% 1.90/2.09  0 [] -horizontal_5_5| -vertical_5_5.
% 1.90/2.09  0 [] -horizontal_5_5| -horizontal_5_4.
% 1.90/2.09  0 [] -horizontal_5_5| -vertical_4_5.
% 1.90/2.09  0 [] -vertical_5_5| -horizontal_5_4.
% 1.90/2.09  0 [] -vertical_5_5| -vertical_4_5.
% 1.90/2.09  0 [] -horizontal_5_4| -vertical_4_5.
% 1.90/2.09  0 [] -vertical_5_6| -horizontal_5_5.
% 1.90/2.09  0 [] -vertical_5_6| -vertical_4_6.
% 1.90/2.09  0 [] -horizontal_5_5| -vertical_4_6.
% 1.90/2.09  0 [] -horizontal_6_1| -vertical_5_1.
% 1.90/2.09  0 [] -horizontal_6_2| -horizontal_6_1.
% 1.90/2.09  0 [] -horizontal_6_2| -vertical_5_2.
% 1.90/2.09  0 [] -horizontal_6_1| -vertical_5_2.
% 1.90/2.09  0 [] -horizontal_6_3| -horizontal_6_2.
% 1.90/2.09  0 [] -horizontal_6_3| -vertical_5_3.
% 1.90/2.09  0 [] -horizontal_6_2| -vertical_5_3.
% 1.90/2.09  0 [] -horizontal_6_4| -horizontal_6_3.
% 1.90/2.09  0 [] -horizontal_6_4| -vertical_5_4.
% 1.90/2.09  0 [] -horizontal_6_3| -vertical_5_4.
% 1.90/2.09  0 [] -horizontal_6_5| -horizontal_6_4.
% 1.90/2.09  0 [] -horizontal_6_5| -vertical_5_5.
% 1.90/2.09  0 [] -horizontal_6_4| -vertical_5_5.
% 1.90/2.09  end_of_list.
% 1.90/2.09  
% 1.90/2.09  SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.90/2.09  
% 1.90/2.09  The clause set is propositional; the strategy will be
% 1.90/2.09  ordered hyperresolution with the propositional
% 1.90/2.09  optimizations, with satellites in sos and nuclei in usable.
% 1.90/2.09  
% 1.90/2.09     dependent: set(hyper_res).
% 1.90/2.09     dependent: set(propositional).
% 1.90/2.09     dependent: set(sort_literals).
% 1.90/2.09  
% 1.90/2.09  ------------> process usable:
% 1.90/2.09  ** KEPT (pick-wt=1): 1 [] -horizontal_1_1.
% 1.90/2.09  ** KEPT (pick-wt=1): 2 [] -vertical_1_1.
% 1.90/2.09  ** KEPT (pick-wt=1): 3 [] -horizontal_6_5.
% 1.90/2.09  ** KEPT (pick-wt=1): 4 [] -vertical_5_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 5 [] -horizontal_1_2| -vertical_1_2.
% 1.90/2.09    Following clause subsumed by 1 during input processing: 0 [propositional] -horizontal_1_1| -horizontal_1_2.
% 1.90/2.09    Following clause subsumed by 1 during input processing: 0 [propositional] -horizontal_1_1| -vertical_1_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 6 [] -horizontal_1_3| -vertical_1_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 8 [copy,7,propositional] -horizontal_1_2| -horizontal_1_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 10 [copy,9,propositional] -horizontal_1_2| -vertical_1_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 11 [] -horizontal_1_4| -vertical_1_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 13 [copy,12,propositional] -horizontal_1_3| -horizontal_1_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 15 [copy,14,propositional] -horizontal_1_3| -vertical_1_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 16 [] -horizontal_1_5| -vertical_1_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 18 [copy,17,propositional] -horizontal_1_4| -horizontal_1_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 20 [copy,19,propositional] -horizontal_1_4| -vertical_1_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 22 [copy,21,propositional] -horizontal_1_5| -vertical_1_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 23 [] -horizontal_2_1| -vertical_2_1.
% 1.90/2.09    Following clause subsumed by 2 during input processing: 0 [propositional] -vertical_1_1| -horizontal_2_1.
% 1.90/2.09    Following clause subsumed by 2 during input processing: 0 [propositional] -vertical_1_1| -vertical_2_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 24 [] -horizontal_2_2| -vertical_2_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 26 [copy,25,propositional] -horizontal_2_1| -horizontal_2_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 28 [copy,27,propositional] -vertical_1_2| -horizontal_2_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 30 [copy,29,propositional] -horizontal_2_1| -vertical_2_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 32 [copy,31,propositional] -vertical_1_2| -vertical_2_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 34 [copy,33,propositional] -vertical_1_2| -horizontal_2_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 35 [] -horizontal_2_3| -vertical_2_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 37 [copy,36,propositional] -horizontal_2_2| -horizontal_2_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 39 [copy,38,propositional] -vertical_1_3| -horizontal_2_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 41 [copy,40,propositional] -horizontal_2_2| -vertical_2_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 43 [copy,42,propositional] -vertical_1_3| -vertical_2_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 45 [copy,44,propositional] -vertical_1_3| -horizontal_2_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 46 [] -horizontal_2_4| -vertical_2_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 48 [copy,47,propositional] -horizontal_2_3| -horizontal_2_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 50 [copy,49,propositional] -vertical_1_4| -horizontal_2_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 52 [copy,51,propositional] -horizontal_2_3| -vertical_2_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 54 [copy,53,propositional] -vertical_1_4| -vertical_2_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 56 [copy,55,propositional] -vertical_1_4| -horizontal_2_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 57 [] -horizontal_2_5| -vertical_2_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 59 [copy,58,propositional] -horizontal_2_4| -horizontal_2_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 61 [copy,60,propositional] -vertical_1_5| -horizontal_2_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 63 [copy,62,propositional] -horizontal_2_4| -vertical_2_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 65 [copy,64,propositional] -vertical_1_5| -vertical_2_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 67 [copy,66,propositional] -vertical_1_5| -horizontal_2_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 69 [copy,68,propositional] -horizontal_2_5| -vertical_2_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 71 [copy,70,propositional] -vertical_1_6| -vertical_2_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 73 [copy,72,propositional] -vertical_1_6| -horizontal_2_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 74 [] -horizontal_3_1| -vertical_3_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 76 [copy,75,propositional] -vertical_2_1| -horizontal_3_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 78 [copy,77,propositional] -vertical_2_1| -vertical_3_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 79 [] -horizontal_3_2| -vertical_3_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 81 [copy,80,propositional] -horizontal_3_1| -horizontal_3_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 83 [copy,82,propositional] -vertical_2_2| -horizontal_3_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 85 [copy,84,propositional] -horizontal_3_1| -vertical_3_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 87 [copy,86,propositional] -vertical_2_2| -vertical_3_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 89 [copy,88,propositional] -vertical_2_2| -horizontal_3_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 90 [] -horizontal_3_3| -vertical_3_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 92 [copy,91,propositional] -horizontal_3_2| -horizontal_3_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 94 [copy,93,propositional] -vertical_2_3| -horizontal_3_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 96 [copy,95,propositional] -horizontal_3_2| -vertical_3_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 98 [copy,97,propositional] -vertical_2_3| -vertical_3_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 100 [copy,99,propositional] -vertical_2_3| -horizontal_3_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 101 [] -horizontal_3_4| -vertical_3_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 103 [copy,102,propositional] -horizontal_3_3| -horizontal_3_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 105 [copy,104,propositional] -vertical_2_4| -horizontal_3_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 107 [copy,106,propositional] -horizontal_3_3| -vertical_3_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 109 [copy,108,propositional] -vertical_2_4| -vertical_3_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 111 [copy,110,propositional] -vertical_2_4| -horizontal_3_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 112 [] -horizontal_3_5| -vertical_3_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 114 [copy,113,propositional] -horizontal_3_4| -horizontal_3_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 116 [copy,115,propositional] -vertical_2_5| -horizontal_3_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 118 [copy,117,propositional] -horizontal_3_4| -vertical_3_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 120 [copy,119,propositional] -vertical_2_5| -vertical_3_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 122 [copy,121,propositional] -vertical_2_5| -horizontal_3_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 124 [copy,123,propositional] -horizontal_3_5| -vertical_3_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 126 [copy,125,propositional] -vertical_2_6| -vertical_3_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 128 [copy,127,propositional] -vertical_2_6| -horizontal_3_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 129 [] -horizontal_4_1| -vertical_4_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 131 [copy,130,propositional] -vertical_3_1| -horizontal_4_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 133 [copy,132,propositional] -vertical_3_1| -vertical_4_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 134 [] -horizontal_4_2| -vertical_4_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 136 [copy,135,propositional] -horizontal_4_1| -horizontal_4_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 138 [copy,137,propositional] -vertical_3_2| -horizontal_4_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 140 [copy,139,propositional] -horizontal_4_1| -vertical_4_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 142 [copy,141,propositional] -vertical_3_2| -vertical_4_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 144 [copy,143,propositional] -vertical_3_2| -horizontal_4_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 145 [] -horizontal_4_3| -vertical_4_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 147 [copy,146,propositional] -horizontal_4_2| -horizontal_4_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 149 [copy,148,propositional] -vertical_3_3| -horizontal_4_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 151 [copy,150,propositional] -horizontal_4_2| -vertical_4_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 153 [copy,152,propositional] -vertical_3_3| -vertical_4_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 155 [copy,154,propositional] -vertical_3_3| -horizontal_4_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 156 [] -horizontal_4_4| -vertical_4_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 158 [copy,157,propositional] -horizontal_4_3| -horizontal_4_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 160 [copy,159,propositional] -vertical_3_4| -horizontal_4_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 162 [copy,161,propositional] -horizontal_4_3| -vertical_4_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 164 [copy,163,propositional] -vertical_3_4| -vertical_4_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 166 [copy,165,propositional] -vertical_3_4| -horizontal_4_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 167 [] -horizontal_4_5| -vertical_4_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 169 [copy,168,propositional] -horizontal_4_4| -horizontal_4_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 171 [copy,170,propositional] -vertical_3_5| -horizontal_4_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 173 [copy,172,propositional] -horizontal_4_4| -vertical_4_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 175 [copy,174,propositional] -vertical_3_5| -vertical_4_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 177 [copy,176,propositional] -vertical_3_5| -horizontal_4_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 179 [copy,178,propositional] -horizontal_4_5| -vertical_4_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 181 [copy,180,propositional] -vertical_3_6| -vertical_4_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 183 [copy,182,propositional] -vertical_3_6| -horizontal_4_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 184 [] -horizontal_5_1| -vertical_5_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 186 [copy,185,propositional] -vertical_4_1| -horizontal_5_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 188 [copy,187,propositional] -vertical_4_1| -vertical_5_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 189 [] -horizontal_5_2| -vertical_5_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 191 [copy,190,propositional] -horizontal_5_1| -horizontal_5_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 193 [copy,192,propositional] -vertical_4_2| -horizontal_5_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 195 [copy,194,propositional] -horizontal_5_1| -vertical_5_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 197 [copy,196,propositional] -vertical_4_2| -vertical_5_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 199 [copy,198,propositional] -vertical_4_2| -horizontal_5_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 200 [] -horizontal_5_3| -vertical_5_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 202 [copy,201,propositional] -horizontal_5_2| -horizontal_5_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 204 [copy,203,propositional] -vertical_4_3| -horizontal_5_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 206 [copy,205,propositional] -horizontal_5_2| -vertical_5_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 208 [copy,207,propositional] -vertical_4_3| -vertical_5_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 210 [copy,209,propositional] -vertical_4_3| -horizontal_5_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 211 [] -horizontal_5_4| -vertical_5_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 213 [copy,212,propositional] -horizontal_5_3| -horizontal_5_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 215 [copy,214,propositional] -vertical_4_4| -horizontal_5_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 217 [copy,216,propositional] -horizontal_5_3| -vertical_5_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 219 [copy,218,propositional] -vertical_4_4| -vertical_5_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 221 [copy,220,propositional] -vertical_4_4| -horizontal_5_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 222 [] -horizontal_5_5| -vertical_5_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 224 [copy,223,propositional] -horizontal_5_4| -horizontal_5_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 226 [copy,225,propositional] -vertical_4_5| -horizontal_5_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 228 [copy,227,propositional] -horizontal_5_4| -vertical_5_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 230 [copy,229,propositional] -vertical_4_5| -vertical_5_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 232 [copy,231,propositional] -vertical_4_5| -horizontal_5_4.
% 1.90/2.09    Following clause subsumed by 4 during input processing: 0 [] -vertical_5_6| -horizontal_5_5.
% 1.90/2.09    Following clause subsumed by 4 during input processing: 0 [] -vertical_5_6| -vertical_4_6.
% 1.90/2.09  ** KEPT (pick-wt=2): 234 [copy,233,propositional] -vertical_4_6| -horizontal_5_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 236 [copy,235,propositional] -vertical_5_1| -horizontal_6_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 238 [copy,237,propositional] -horizontal_6_1| -horizontal_6_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 240 [copy,239,propositional] -vertical_5_2| -horizontal_6_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 242 [copy,241,propositional] -vertical_5_2| -horizontal_6_1.
% 1.90/2.09  ** KEPT (pick-wt=2): 244 [copy,243,propositional] -horizontal_6_2| -horizontal_6_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 246 [copy,245,propositional] -vertical_5_3| -horizontal_6_3.
% 1.90/2.09  ** KEPT (pick-wt=2): 248 [copy,247,propositional] -vertical_5_3| -horizontal_6_2.
% 1.90/2.09  ** KEPT (pick-wt=2): 250 [copy,249,propositional] -horizontal_6_3| -horizontal_6_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 252 [copy,251,propositional] -vertical_5_4| -horizontal_6_4.
% 1.90/2.09  ** KEPT (pick-wt=2): 254 [copy,253,propositional] -vertical_5_4| -horizontal_6_3.
% 1.90/2.09    Following clause subsumed by 3 during input processing: 0 [] -horizontal_6_5| -horizontal_6_4.
% 1.90/2.09    Following clause subsumed by 3 during input processing: 0 [] -horizontal_6_5| -vertical_5_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 256 [copy,255,propositional] -vertical_5_5| -horizontal_6_4.
% 1.90/2.09  
% 1.90/2.09  ------------> process sos:
% 1.90/2.09  ** KEPT (pick-wt=3): 258 [copy,257,propositional] horizontal_1_1|horizontal_1_2|vertical_1_2.
% 1.90/2.09  ** KEPT (pick-wt=3): 260 [copy,259,propositional] horizontal_1_2|horizontal_1_3|vertical_1_3.
% 1.90/2.09  ** KEPT (pick-wt=3): 262 [copy,261,propositional] horizontal_1_3|horizontal_1_4|vertical_1_4.
% 1.90/2.09  ** KEPT (pick-wt=3): 264 [copy,263,propositional] horizontal_1_4|horizontal_1_5|vertical_1_5.
% 1.90/2.09  ** KEPT (pick-wt=2): 266 [copy,265,propositional] horizontal_1_5|vertical_1_6.
% 2.75/2.91  ** KEPT (pick-wt=3): 268 [copy,267,propositional] vertical_1_1|horizontal_2_1|vertical_2_1.
% 2.75/2.91  ** KEPT (pick-wt=4): 270 [copy,269,propositional] vertical_1_2|horizontal_2_1|horizontal_2_2|vertical_2_2.
% 2.75/2.91  ** KEPT (pick-wt=4): 272 [copy,271,propositional] vertical_1_3|horizontal_2_2|horizontal_2_3|vertical_2_3.
% 2.75/2.91  ** KEPT (pick-wt=4): 274 [copy,273,propositional] vertical_1_4|horizontal_2_3|horizontal_2_4|vertical_2_4.
% 2.75/2.91  ** KEPT (pick-wt=4): 276 [copy,275,propositional] vertical_1_5|horizontal_2_4|horizontal_2_5|vertical_2_5.
% 2.75/2.91  ** KEPT (pick-wt=3): 278 [copy,277,propositional] vertical_1_6|horizontal_2_5|vertical_2_6.
% 2.75/2.91  ** KEPT (pick-wt=3): 280 [copy,279,propositional] vertical_2_1|horizontal_3_1|vertical_3_1.
% 2.75/2.91  ** KEPT (pick-wt=4): 282 [copy,281,propositional] vertical_2_2|horizontal_3_1|horizontal_3_2|vertical_3_2.
% 2.75/2.91  ** KEPT (pick-wt=4): 284 [copy,283,propositional] vertical_2_3|horizontal_3_2|horizontal_3_3|vertical_3_3.
% 2.75/2.91  ** KEPT (pick-wt=4): 286 [copy,285,propositional] vertical_2_4|horizontal_3_3|horizontal_3_4|vertical_3_4.
% 2.75/2.91  ** KEPT (pick-wt=4): 288 [copy,287,propositional] vertical_2_5|horizontal_3_4|horizontal_3_5|vertical_3_5.
% 2.75/2.91  ** KEPT (pick-wt=3): 290 [copy,289,propositional] vertical_2_6|horizontal_3_5|vertical_3_6.
% 2.75/2.91  ** KEPT (pick-wt=3): 292 [copy,291,propositional] vertical_3_1|horizontal_4_1|vertical_4_1.
% 2.75/2.91  ** KEPT (pick-wt=4): 294 [copy,293,propositional] vertical_3_2|horizontal_4_1|horizontal_4_2|vertical_4_2.
% 2.75/2.91  ** KEPT (pick-wt=4): 296 [copy,295,propositional] vertical_3_3|horizontal_4_2|horizontal_4_3|vertical_4_3.
% 2.75/2.91  ** KEPT (pick-wt=4): 298 [copy,297,propositional] vertical_3_4|horizontal_4_3|horizontal_4_4|vertical_4_4.
% 2.75/2.91  ** KEPT (pick-wt=4): 300 [copy,299,propositional] vertical_3_5|horizontal_4_4|horizontal_4_5|vertical_4_5.
% 2.75/2.91  ** KEPT (pick-wt=3): 302 [copy,301,propositional] vertical_3_6|horizontal_4_5|vertical_4_6.
% 2.75/2.91  ** KEPT (pick-wt=3): 304 [copy,303,propositional] vertical_4_1|horizontal_5_1|vertical_5_1.
% 2.75/2.91  ** KEPT (pick-wt=4): 306 [copy,305,propositional] vertical_4_2|horizontal_5_1|horizontal_5_2|vertical_5_2.
% 2.75/2.91  ** KEPT (pick-wt=4): 308 [copy,307,propositional] vertical_4_3|horizontal_5_2|horizontal_5_3|vertical_5_3.
% 2.75/2.91  ** KEPT (pick-wt=4): 310 [copy,309,propositional] vertical_4_4|horizontal_5_3|horizontal_5_4|vertical_5_4.
% 2.75/2.91  ** KEPT (pick-wt=4): 312 [copy,311,propositional] vertical_4_5|horizontal_5_4|horizontal_5_5|vertical_5_5.
% 2.75/2.91  ** KEPT (pick-wt=3): 314 [copy,313,propositional] vertical_5_6|vertical_4_6|horizontal_5_5.
% 2.75/2.91  ** KEPT (pick-wt=2): 316 [copy,315,propositional] vertical_5_1|horizontal_6_1.
% 2.75/2.91  ** KEPT (pick-wt=3): 318 [copy,317,propositional] vertical_5_2|horizontal_6_1|horizontal_6_2.
% 2.75/2.91  ** KEPT (pick-wt=3): 320 [copy,319,propositional] vertical_5_3|horizontal_6_2|horizontal_6_3.
% 2.75/2.91  ** KEPT (pick-wt=3): 322 [copy,321,propositional] vertical_5_4|horizontal_6_3|horizontal_6_4.
% 2.75/2.91  ** KEPT (pick-wt=3): 324 [copy,323,propositional] horizontal_6_5|vertical_5_5|horizontal_6_4.
% 2.75/2.91  
% 2.75/2.91  ======= end of input processing =======
% 2.75/2.91  
% 2.75/2.91  =========== start of search ===========
% 2.75/2.91  
% 2.75/2.91  -------- PROOF -------- 
% 2.75/2.91  
% 2.75/2.91  ----> UNIT CONFLICT at   0.81 sec ----> 5383 [binary,5382.1,1.1] $F.
% 2.75/2.91  
% 2.75/2.91  Length of proof is 2896.  Level of proof is 1640.
% 2.75/2.91  
% 2.75/2.91  ---------------- PROOF ----------------
% 2.75/2.91  % SZS status Unsatisfiable
% 2.75/2.91  % SZS output start Refutation
% See solution above
% 2.75/2.93  ------------ end of proof -------------
% 2.75/2.93  
% 2.75/2.93  
% 2.75/2.93  Search stopped by max_proofs option.
% 2.75/2.93  
% 2.75/2.93  
% 2.75/2.93  Search stopped by max_proofs option.
% 2.75/2.93  
% 2.75/2.93  ============ end of search ============
% 2.75/2.93  
% 2.75/2.93  -------------- statistics -------------
% 2.75/2.93  clauses given               4415
% 2.75/2.93  clauses generated          49753
% 2.75/2.93  clauses kept                5234
% 2.75/2.93  clauses forward subsumed   44703
% 2.75/2.93  clauses back subsumed       4983
% 2.75/2.93  Kbytes malloced             2929
% 2.75/2.93  
% 2.75/2.93  ----------- times (seconds) -----------
% 2.75/2.93  user CPU time          0.84          (0 hr, 0 min, 0 sec)
% 2.75/2.93  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.75/2.93  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 2.75/2.93  
% 2.75/2.93  That finishes the proof of the theorem.
% 2.75/2.93  
% 2.75/2.93  Process 14914 finished Wed Jul 27 01:50:09 2022
% 2.75/2.93  Otter interrupted
% 2.75/2.93  PROOF FOUND
%------------------------------------------------------------------------------