%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n004.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 13:11:13 EDT 2022

% Result   : Unsatisfiable 1.82s 2.00s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ vertical_1_2,
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(5,axiom,
    ~ horizontal_1_1,
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ horizontal_1_4
    | ~ vertical_1_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ horizontal_2_1
    | ~ vertical_1_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(11,plain,
    ( ~ vertical_1_1
    | ~ horizontal_2_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[10])]),
    [iquote('copy,10,propositional')] ).

cnf(12,axiom,
    ( ~ vertical_2_1
    | ~ vertical_1_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(13,plain,
    ( ~ vertical_1_1
    | ~ vertical_2_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[12])]),
    [iquote('copy,12,propositional')] ).

cnf(19,axiom,
    ( ~ horizontal_2_3
    | ~ vertical_2_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ horizontal_2_3
    | ~ horizontal_2_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(21,plain,
    ( ~ horizontal_2_2
    | ~ horizontal_2_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[20])]),
    [iquote('copy,20,propositional')] ).

cnf(22,axiom,
    ( ~ vertical_2_3
    | ~ horizontal_2_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(23,plain,
    ( ~ horizontal_2_2
    | ~ vertical_2_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[22])]),
    [iquote('copy,22,propositional')] ).

cnf(35,axiom,
    ( ~ vertical_2_5
    | ~ horizontal_2_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(36,plain,
    ( ~ horizontal_2_4
    | ~ vertical_2_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[35])]),
    [iquote('copy,35,propositional')] ).

cnf(37,axiom,
    ( ~ vertical_2_5
    | ~ vertical_1_5 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(38,plain,
    ( ~ vertical_1_5
    | ~ vertical_2_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[37])]),
    [iquote('copy,37,propositional')] ).

cnf(46,axiom,
    ( ~ horizontal_3_2
    | ~ vertical_3_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(47,axiom,
    ( ~ horizontal_3_2
    | ~ horizontal_3_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(48,plain,
    ( ~ horizontal_3_1
    | ~ horizontal_3_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[47])]),
    [iquote('copy,47,propositional')] ).

cnf(49,axiom,
    ( ~ horizontal_3_2
    | ~ vertical_2_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(50,plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[49])]),
    [iquote('copy,49,propositional')] ).

cnf(51,axiom,
    ( ~ vertical_3_2
    | ~ horizontal_3_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(52,plain,
    ( ~ horizontal_3_1
    | ~ vertical_3_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[51])]),
    [iquote('copy,51,propositional')] ).

cnf(53,axiom,
    ( ~ vertical_3_2
    | ~ vertical_2_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(54,plain,
    ( ~ vertical_2_2
    | ~ vertical_3_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[53])]),
    [iquote('copy,53,propositional')] ).

cnf(55,axiom,
    ( ~ horizontal_3_1
    | ~ vertical_2_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(56,plain,
    ( ~ vertical_2_2
    | ~ horizontal_3_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[55])]),
    [iquote('copy,55,propositional')] ).

cnf(68,axiom,
    ( ~ horizontal_3_4
    | ~ vertical_3_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ horizontal_3_4
    | ~ horizontal_3_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(70,plain,
    ( ~ horizontal_3_3
    | ~ horizontal_3_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[69])]),
    [iquote('copy,69,propositional')] ).

cnf(73,axiom,
    ( ~ vertical_3_4
    | ~ horizontal_3_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(74,plain,
    ( ~ horizontal_3_3
    | ~ vertical_3_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[73])]),
    [iquote('copy,73,propositional')] ).

cnf(75,axiom,
    ( ~ vertical_3_4
    | ~ vertical_2_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(76,plain,
    ( ~ vertical_2_4
    | ~ vertical_3_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[75])]),
    [iquote('copy,75,propositional')] ).

cnf(77,axiom,
    ( ~ horizontal_3_3
    | ~ vertical_2_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(78,plain,
    ( ~ vertical_2_4
    | ~ horizontal_3_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[77])]),
    [iquote('copy,77,propositional')] ).

cnf(85,axiom,
    ( ~ horizontal_4_1
    | ~ vertical_4_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(86,axiom,
    ( ~ horizontal_4_1
    | ~ vertical_3_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(87,plain,
    ( ~ vertical_3_1
    | ~ horizontal_4_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[86])]),
    [iquote('copy,86,propositional')] ).

cnf(88,axiom,
    ( ~ vertical_4_1
    | ~ vertical_3_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(89,plain,
    ( ~ vertical_3_1
    | ~ vertical_4_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[88])]),
    [iquote('copy,88,propositional')] ).

cnf(101,axiom,
    ( ~ horizontal_4_3
    | ~ vertical_4_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(102,axiom,
    ( ~ horizontal_4_3
    | ~ horizontal_4_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(103,plain,
    ( ~ horizontal_4_2
    | ~ horizontal_4_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[102])]),
    [iquote('copy,102,propositional')] ).

cnf(104,axiom,
    ( ~ horizontal_4_3
    | ~ vertical_3_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(105,plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[104])]),
    [iquote('copy,104,propositional')] ).

cnf(106,axiom,
    ( ~ vertical_4_3
    | ~ horizontal_4_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(107,plain,
    ( ~ horizontal_4_2
    | ~ vertical_4_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[106])]),
    [iquote('copy,106,propositional')] ).

cnf(108,axiom,
    ( ~ vertical_4_3
    | ~ vertical_3_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(109,plain,
    ( ~ vertical_3_3
    | ~ vertical_4_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[108])]),
    [iquote('copy,108,propositional')] ).

cnf(110,axiom,
    ( ~ horizontal_4_2
    | ~ vertical_3_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(111,plain,
    ( ~ vertical_3_3
    | ~ horizontal_4_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[110])]),
    [iquote('copy,110,propositional')] ).

cnf(123,axiom,
    ( ~ vertical_4_5
    | ~ horizontal_4_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(124,plain,
    ( ~ horizontal_4_4
    | ~ vertical_4_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[123])]),
    [iquote('copy,123,propositional')] ).

cnf(125,axiom,
    ( ~ vertical_4_5
    | ~ vertical_3_5 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(126,plain,
    ( ~ vertical_3_5
    | ~ vertical_4_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[125])]),
    [iquote('copy,125,propositional')] ).

cnf(127,axiom,
    ( ~ horizontal_4_4
    | ~ vertical_3_5 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(128,plain,
    ( ~ vertical_3_5
    | ~ horizontal_4_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[127])]),
    [iquote('copy,127,propositional')] ).

cnf(131,axiom,
    ( ~ horizontal_5_2
    | ~ horizontal_5_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(132,plain,
    ( ~ horizontal_5_1
    | ~ horizontal_5_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[131])]),
    [iquote('copy,131,propositional')] ).

cnf(133,axiom,
    ( ~ horizontal_5_2
    | ~ vertical_4_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(134,plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[133])]),
    [iquote('copy,133,propositional')] ).

cnf(135,axiom,
    ( ~ horizontal_5_1
    | ~ vertical_4_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(136,plain,
    ( ~ vertical_4_2
    | ~ horizontal_5_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[135])]),
    [iquote('copy,135,propositional')] ).

cnf(143,axiom,
    ( ~ horizontal_5_4
    | ~ horizontal_5_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(144,plain,
    ( ~ horizontal_5_3
    | ~ horizontal_5_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[143])]),
    [iquote('copy,143,propositional')] ).

cnf(145,axiom,
    ( ~ horizontal_5_4
    | ~ vertical_4_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(146,plain,
    ( ~ vertical_4_4
    | ~ horizontal_5_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[145])]),
    [iquote('copy,145,propositional')] ).

cnf(147,axiom,
    ( ~ horizontal_5_3
    | ~ vertical_4_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(148,plain,
    ( ~ vertical_4_4
    | ~ horizontal_5_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[147])]),
    [iquote('copy,147,propositional')] ).

cnf(151,axiom,
    ( horizontal_1_1
    | vertical_1_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(154,axiom,
    ( vertical_1_5
    | horizontal_1_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(155,plain,
    ( horizontal_1_4
    | vertical_1_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[154])]),
    [iquote('copy,154,propositional')] ).

cnf(158,axiom,
    ( horizontal_2_2
    | vertical_2_2
    | horizontal_2_1
    | vertical_1_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(159,plain,
    ( vertical_1_2
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[158])]),
    [iquote('copy,158,propositional')] ).

cnf(162,axiom,
    ( horizontal_2_4
    | vertical_2_4
    | horizontal_2_3
    | vertical_1_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(163,plain,
    ( vertical_1_4
    | horizontal_2_3
    | horizontal_2_4
    | vertical_2_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[162])]),
    [iquote('copy,162,propositional')] ).

cnf(166,axiom,
    ( horizontal_3_1
    | vertical_3_1
    | vertical_2_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(167,plain,
    ( vertical_2_1
    | horizontal_3_1
    | vertical_3_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[166])]),
    [iquote('copy,166,propositional')] ).

cnf(170,axiom,
    ( horizontal_3_3
    | vertical_3_3
    | horizontal_3_2
    | vertical_2_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(171,plain,
    ( vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | vertical_3_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[170])]),
    [iquote('copy,170,propositional')] ).

cnf(174,axiom,
    ( vertical_3_5
    | horizontal_3_4
    | vertical_2_5 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(175,plain,
    ( vertical_2_5
    | horizontal_3_4
    | vertical_3_5 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[174])]),
    [iquote('copy,174,propositional')] ).

cnf(178,axiom,
    ( horizontal_4_2
    | vertical_4_2
    | horizontal_4_1
    | vertical_3_2 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(179,plain,
    ( vertical_3_2
    | horizontal_4_1
    | horizontal_4_2
    | vertical_4_2 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[178])]),
    [iquote('copy,178,propositional')] ).

cnf(182,axiom,
    ( horizontal_4_4
    | vertical_4_4
    | horizontal_4_3
    | vertical_3_4 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(183,plain,
    ( vertical_3_4
    | horizontal_4_3
    | horizontal_4_4
    | vertical_4_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[182])]),
    [iquote('copy,182,propositional')] ).

cnf(186,axiom,
    ( horizontal_5_1
    | vertical_4_1 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(187,plain,
    ( vertical_4_1
    | horizontal_5_1 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[186])]),
    [iquote('copy,186,propositional')] ).

cnf(190,axiom,
    ( horizontal_5_3
    | horizontal_5_2
    | vertical_4_3 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(191,plain,
    ( vertical_4_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[190])]),
    [iquote('copy,190,propositional')] ).

cnf(194,axiom,
    ( horizontal_5_4
    | vertical_4_5 ),
    file('PUZ016-2.005.p',unknown),
    [] ).

cnf(195,plain,
    ( vertical_4_5
    | horizontal_5_4 ),
    inference(propositional,[status(thm)],[inference(copy,[status(thm)],[194])]),
    [iquote('copy,194,propositional')] ).

cnf(196,plain,
    ( vertical_2_1
    | horizontal_3_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[167,89,187]),
    [iquote('hyper,167,89,187')] ).

cnf(197,plain,
    ( vertical_2_5
    | horizontal_3_4
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[175,126,195]),
    [iquote('hyper,175,126,195')] ).

cnf(198,plain,
    ( horizontal_1_1
    | horizontal_3_1
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[196,13,151]),
    [iquote('hyper,196,13,151')] ).

cnf(199,plain,
    ( horizontal_1_4
    | horizontal_3_4
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[197,38,155]),
    [iquote('hyper,197,38,155')] ).

cnf(203,plain,
    ( vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[171,109,191]),
    [iquote('hyper,171,109,191')] ).

cnf(205,plain,
    ( horizontal_1_1
    | horizontal_3_1
    | vertical_3_2
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[179,136,198]),
    [iquote('hyper,179,136,198')] ).

cnf(206,plain,
    ( horizontal_1_4
    | horizontal_3_4
    | vertical_3_4
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[183,146,199]),
    [iquote('hyper,183,146,199')] ).

cnf(207,plain,
    ( vertical_1_2
    | horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[205,54,159]),
    [iquote('hyper,205,54,159')] ).

cnf(209,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[207,3]),
    [iquote('hyper,207,3')] ).

cnf(210,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | vertical_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[209,111,171]),
    [iquote('hyper,209,111,171')] ).

cnf(211,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[209,107,191]),
    [iquote('hyper,209,107,191')] ).

cnf(213,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | vertical_3_4
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[211,148,183]),
    [iquote('hyper,211,148,183')] ).

cnf(214,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[211,144,199]),
    [iquote('hyper,211,144,199')] ).

cnf(215,plain,
    ( horizontal_1_1
    | vertical_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[213,76,163]),
    [iquote('hyper,213,76,163')] ).

cnf(216,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[214,132,198]),
    [iquote('hyper,214,132,198')] ).

cnf(218,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[216,87,167]),
    [iquote('hyper,216,87,167')] ).

cnf(219,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[218,13,151]),
    [iquote('hyper,218,13,151')] ).

cnf(221,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[219,68,213]),
    [iquote('hyper,219,68,213')] ).

cnf(222,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[221,132,198]),
    [iquote('hyper,221,132,198')] ).

cnf(223,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[222,124,195]),
    [iquote('hyper,222,124,195')] ).

cnf(224,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[223,144,211]),
    [iquote('hyper,223,144,211')] ).

cnf(225,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[224,132,198]),
    [iquote('hyper,224,132,198')] ).

cnf(227,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[225,103,209]),
    [iquote('hyper,225,103,209')] ).

cnf(229,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_2
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[227,87,167]),
    [iquote('hyper,227,87,167')] ).

cnf(230,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[229,13,151]),
    [iquote('hyper,229,13,151')] ).

cnf(231,plain,
    ( vertical_1_2
    | horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[230,56,159]),
    [iquote('hyper,230,56,159')] ).

cnf(232,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[231,3]),
    [iquote('hyper,231,3')] ).

cnf(233,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[232,23,203]),
    [iquote('hyper,232,23,203')] ).

cnf(234,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | vertical_3_4
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[233,148,183]),
    [iquote('hyper,233,148,183')] ).

cnf(235,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[233,144,199]),
    [iquote('hyper,233,144,199')] ).

cnf(238,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[235,134,179]),
    [iquote('hyper,235,134,179')] ).

cnf(239,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[235,132,198]),
    [iquote('hyper,235,132,198')] ).

cnf(242,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[234,68,239]),
    [iquote('hyper,234,68,239')] ).

cnf(244,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[242,132,198]),
    [iquote('hyper,242,132,198')] ).

cnf(245,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[244,124,195]),
    [iquote('hyper,244,124,195')] ).

cnf(246,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[245,144,233]),
    [iquote('hyper,245,144,233')] ).

cnf(248,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[246,132,198]),
    [iquote('hyper,246,132,198')] ).

cnf(250,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[248,105,171]),
    [iquote('hyper,248,105,171')] ).

cnf(251,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[250,23,232]),
    [iquote('hyper,250,23,232')] ).

cnf(253,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[251,74,206]),
    [iquote('hyper,251,74,206')] ).

cnf(254,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[253,128,175]),
    [iquote('hyper,253,128,175')] ).

cnf(255,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[254,38,155]),
    [iquote('hyper,254,38,155')] ).

cnf(256,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[255,101,191]),
    [iquote('hyper,255,101,191')] ).

cnf(257,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[256,144,199]),
    [iquote('hyper,256,144,199')] ).

cnf(258,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[257,132,198]),
    [iquote('hyper,257,132,198')] ).

cnf(259,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[258,70,251]),
    [iquote('hyper,258,70,251')] ).

cnf(260,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[259,46,205]),
    [iquote('hyper,259,46,205')] ).

cnf(261,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[260,107,191]),
    [iquote('hyper,260,107,191')] ).

cnf(262,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | vertical_3_4
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[261,148,183]),
    [iquote('hyper,261,148,183')] ).

cnf(263,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[261,144,199]),
    [iquote('hyper,261,144,199')] ).

cnf(264,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[263,132,198]),
    [iquote('hyper,263,132,198')] ).

cnf(265,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_1
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[264,87,167]),
    [iquote('hyper,264,87,167')] ).

cnf(267,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[265,13,151]),
    [iquote('hyper,265,13,151')] ).

cnf(269,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[267,68,262]),
    [iquote('hyper,267,68,262')] ).

cnf(270,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[269,132,198]),
    [iquote('hyper,269,132,198')] ).

cnf(271,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[270,124,195]),
    [iquote('hyper,270,124,195')] ).

cnf(272,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[271,144,261]),
    [iquote('hyper,271,144,261')] ).

cnf(273,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[272,132,198]),
    [iquote('hyper,272,132,198')] ).

cnf(275,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[273,103,260]),
    [iquote('hyper,273,103,260')] ).

cnf(276,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_1
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[275,87,167]),
    [iquote('hyper,275,87,167')] ).

cnf(277,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[276,13,151]),
    [iquote('hyper,276,13,151')] ).

cnf(278,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[277,52,238]),
    [iquote('hyper,277,52,238')] ).

cnf(279,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[278,111,171]),
    [iquote('hyper,278,111,171')] ).

cnf(280,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[279,23,232]),
    [iquote('hyper,279,23,232')] ).

cnf(281,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[280,85,187]),
    [iquote('hyper,280,85,187')] ).

cnf(282,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[281,132,235]),
    [iquote('hyper,281,132,235')] ).

cnf(284,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[282,68,234]),
    [iquote('hyper,282,68,234')] ).

cnf(286,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[284,134,179]),
    [iquote('hyper,284,134,179')] ).

cnf(287,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[286,52,277]),
    [iquote('hyper,286,52,277')] ).

cnf(288,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[287,124,195]),
    [iquote('hyper,287,124,195')] ).

cnf(289,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[288,144,233]),
    [iquote('hyper,288,144,233')] ).

cnf(291,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[289,134,179]),
    [iquote('hyper,289,134,179')] ).

cnf(292,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[291,52,277]),
    [iquote('hyper,291,52,277')] ).

cnf(294,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[292,105,171]),
    [iquote('hyper,292,105,171')] ).

cnf(295,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[294,23,232]),
    [iquote('hyper,294,23,232')] ).

cnf(296,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[295,111,171]),
    [iquote('hyper,295,111,171')] ).

cnf(298,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[296,23,232]),
    [iquote('hyper,296,23,232')] ).

cnf(300,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[298,85,187]),
    [iquote('hyper,298,85,187')] ).

cnf(301,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[300,132,284]),
    [iquote('hyper,300,132,284')] ).

cnf(302,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[301,124,195]),
    [iquote('hyper,301,124,195')] ).

cnf(303,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[302,144,233]),
    [iquote('hyper,302,144,233')] ).

cnf(305,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[303,132,300]),
    [iquote('hyper,303,132,300')] ).

cnf(307,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[305,105,171]),
    [iquote('hyper,305,105,171')] ).

cnf(308,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[307,23,232]),
    [iquote('hyper,307,23,232')] ).

cnf(310,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[308,74,206]),
    [iquote('hyper,308,74,206')] ).

cnf(311,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | vertical_2_5
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[310,128,175]),
    [iquote('hyper,310,128,175')] ).

cnf(312,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[311,38,155]),
    [iquote('hyper,311,38,155')] ).

cnf(313,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[312,101,191]),
    [iquote('hyper,312,101,191')] ).

cnf(314,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[313,144,199]),
    [iquote('hyper,313,144,199')] ).

cnf(315,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[314,134,179]),
    [iquote('hyper,314,134,179')] ).

cnf(316,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[315,52,277]),
    [iquote('hyper,315,52,277')] ).

cnf(317,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[316,103,312]),
    [iquote('hyper,316,103,312')] ).

cnf(318,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[317,85,187]),
    [iquote('hyper,317,85,187')] ).

cnf(319,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[318,132,314]),
    [iquote('hyper,318,132,314')] ).

cnf(320,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[319,70,308]),
    [iquote('hyper,319,70,308')] ).

cnf(321,plain,
    ( horizontal_1_1
    | horizontal_1_4
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[320,48,277]),
    [iquote('hyper,320,48,277')] ).

cnf(322,plain,
    ( horizontal_1_1
    | horizontal_1_4 ),
    inference(hyper,[status(thm)],[321,11,151]),
    [iquote('hyper,321,11,151')] ).

cnf(323,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[322,6,215]),
    [iquote('hyper,322,6,215')] ).

cnf(324,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[323,132,198]),
    [iquote('hyper,323,132,198')] ).

cnf(326,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[324,124,195]),
    [iquote('hyper,324,124,195')] ).

cnf(328,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[326,144,211]),
    [iquote('hyper,326,144,211')] ).

cnf(329,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[328,132,198]),
    [iquote('hyper,328,132,198')] ).

cnf(332,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[329,103,209]),
    [iquote('hyper,329,103,209')] ).

cnf(334,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[332,87,167]),
    [iquote('hyper,332,87,167')] ).

cnf(335,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[334,13,151]),
    [iquote('hyper,334,13,151')] ).

cnf(336,plain,
    ( vertical_1_2
    | horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[335,56,159]),
    [iquote('hyper,335,56,159')] ).

cnf(337,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[336,3]),
    [iquote('hyper,336,3')] ).

cnf(338,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_4
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[337,36,197]),
    [iquote('hyper,337,36,197')] ).

cnf(341,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[338,144,211]),
    [iquote('hyper,338,144,211')] ).

cnf(342,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[341,132,198]),
    [iquote('hyper,341,132,198')] ).

cnf(344,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[342,87,167]),
    [iquote('hyper,342,87,167')] ).

cnf(345,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[344,13,151]),
    [iquote('hyper,344,13,151')] ).

cnf(346,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[345,68,213]),
    [iquote('hyper,345,68,213')] ).

cnf(347,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[346,132,198]),
    [iquote('hyper,346,132,198')] ).

cnf(348,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[347,124,195]),
    [iquote('hyper,347,124,195')] ).

cnf(349,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[348,144,211]),
    [iquote('hyper,348,144,211')] ).

cnf(350,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[349,132,198]),
    [iquote('hyper,349,132,198')] ).

cnf(352,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[350,103,209]),
    [iquote('hyper,350,103,209')] ).

cnf(354,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[352,87,167]),
    [iquote('hyper,352,87,167')] ).

cnf(355,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[354,13,151]),
    [iquote('hyper,354,13,151')] ).

cnf(356,plain,
    ( vertical_1_2
    | horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[355,56,159]),
    [iquote('hyper,355,56,159')] ).

cnf(357,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[356,3]),
    [iquote('hyper,356,3')] ).

cnf(359,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[357,19,210]),
    [iquote('hyper,357,19,210')] ).

cnf(364,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[359,87,167]),
    [iquote('hyper,359,87,167')] ).

cnf(367,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[364,13,151]),
    [iquote('hyper,364,13,151')] ).

cnf(369,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[367,74,213]),
    [iquote('hyper,367,74,213')] ).

cnf(373,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[369,132,198]),
    [iquote('hyper,369,132,198')] ).

cnf(375,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[373,124,195]),
    [iquote('hyper,373,124,195')] ).

cnf(376,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[375,144,211]),
    [iquote('hyper,375,144,211')] ).

cnf(377,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[376,132,198]),
    [iquote('hyper,376,132,198')] ).

cnf(379,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[377,103,209]),
    [iquote('hyper,377,103,209')] ).

cnf(381,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[379,87,167]),
    [iquote('hyper,379,87,167')] ).

cnf(382,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[381,13,151]),
    [iquote('hyper,381,13,151')] ).

cnf(384,plain,
    ( vertical_1_2
    | horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[382,50,159]),
    [iquote('hyper,382,50,159')] ).

cnf(385,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[384,3]),
    [iquote('hyper,384,3')] ).

cnf(386,plain,
    ( vertical_1_2
    | horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[385,56,159]),
    [iquote('hyper,385,56,159')] ).

cnf(387,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_2 ),
    inference(hyper,[status(thm)],[386,3]),
    [iquote('hyper,386,3')] ).

cnf(388,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[387,23,203]),
    [iquote('hyper,387,23,203')] ).

cnf(389,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_3_2
    | horizontal_3_3
    | vertical_3_4
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[388,148,183]),
    [iquote('hyper,388,148,183')] ).

cnf(391,plain,
    ( horizontal_1_1
    | vertical_1_4
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[389,76,163]),
    [iquote('hyper,389,76,163')] ).

cnf(392,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[391,6,322]),
    [iquote('hyper,391,6,322')] ).

cnf(394,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[392,134,179]),
    [iquote('hyper,392,134,179')] ).

cnf(395,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[392,132,198]),
    [iquote('hyper,392,132,198')] ).

cnf(397,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[395,124,195]),
    [iquote('hyper,395,124,195')] ).

cnf(399,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[397,144,388]),
    [iquote('hyper,397,144,388')] ).

cnf(401,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[399,132,198]),
    [iquote('hyper,399,132,198')] ).

cnf(404,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[401,105,171]),
    [iquote('hyper,401,105,171')] ).

cnf(405,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[404,23,387]),
    [iquote('hyper,404,23,387')] ).

cnf(406,plain,
    ( horizontal_1_1
    | vertical_1_4
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[405,78,163]),
    [iquote('hyper,405,78,163')] ).

cnf(407,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[406,6,322]),
    [iquote('hyper,406,6,322')] ).

cnf(408,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[407,46,205]),
    [iquote('hyper,407,46,205')] ).

cnf(409,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[408,107,191]),
    [iquote('hyper,408,107,191')] ).

cnf(410,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | vertical_3_4
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[409,148,183]),
    [iquote('hyper,409,148,183')] ).

cnf(411,plain,
    ( horizontal_1_1
    | vertical_1_4
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[410,76,163]),
    [iquote('hyper,410,76,163')] ).

cnf(412,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[411,6,322]),
    [iquote('hyper,411,6,322')] ).

cnf(413,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[412,132,198]),
    [iquote('hyper,412,132,198')] ).

cnf(415,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[413,124,195]),
    [iquote('hyper,413,124,195')] ).

cnf(417,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[415,144,409]),
    [iquote('hyper,415,144,409')] ).

cnf(418,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[417,132,198]),
    [iquote('hyper,417,132,198')] ).

cnf(421,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[418,103,408]),
    [iquote('hyper,418,103,408')] ).

cnf(422,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[421,87,167]),
    [iquote('hyper,421,87,167')] ).

cnf(423,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[422,13,151]),
    [iquote('hyper,422,13,151')] ).

cnf(424,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[423,52,394]),
    [iquote('hyper,423,52,394')] ).

cnf(426,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[424,124,195]),
    [iquote('hyper,424,124,195')] ).

cnf(428,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[426,144,388]),
    [iquote('hyper,426,144,388')] ).

cnf(430,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[428,134,179]),
    [iquote('hyper,428,134,179')] ).

cnf(431,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[430,52,423]),
    [iquote('hyper,430,52,423')] ).

cnf(434,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[431,105,171]),
    [iquote('hyper,431,105,171')] ).

cnf(435,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[434,23,387]),
    [iquote('hyper,434,23,387')] ).

cnf(436,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[435,111,171]),
    [iquote('hyper,435,111,171')] ).

cnf(438,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[436,23,387]),
    [iquote('hyper,436,23,387')] ).

cnf(440,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[438,85,187]),
    [iquote('hyper,438,85,187')] ).

cnf(441,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[440,132,392]),
    [iquote('hyper,440,132,392')] ).

cnf(443,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[441,124,195]),
    [iquote('hyper,441,124,195')] ).

cnf(445,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[443,144,388]),
    [iquote('hyper,443,144,388')] ).

cnf(447,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[445,132,440]),
    [iquote('hyper,445,132,440')] ).

cnf(450,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[447,105,171]),
    [iquote('hyper,447,105,171')] ).

cnf(451,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[450,23,387]),
    [iquote('hyper,450,23,387')] ).

cnf(452,plain,
    ( horizontal_1_1
    | vertical_1_4
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[451,78,163]),
    [iquote('hyper,451,78,163')] ).

cnf(453,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[452,6,322]),
    [iquote('hyper,452,6,322')] ).

cnf(454,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_2_4 ),
    inference(hyper,[status(thm)],[453,48,423]),
    [iquote('hyper,453,48,423')] ).

cnf(455,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_4
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[454,36,197]),
    [iquote('hyper,454,36,197')] ).

cnf(457,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_4
    | vertical_3_4
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[455,146,183]),
    [iquote('hyper,455,146,183')] ).

cnf(458,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[455,144,388]),
    [iquote('hyper,455,144,388')] ).

cnf(460,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[458,134,179]),
    [iquote('hyper,458,134,179')] ).

cnf(461,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[458,132,198]),
    [iquote('hyper,458,132,198')] ).

cnf(462,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[461,68,389]),
    [iquote('hyper,461,68,389')] ).

cnf(464,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[462,132,198]),
    [iquote('hyper,462,132,198')] ).

cnf(465,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[464,124,195]),
    [iquote('hyper,464,124,195')] ).

cnf(466,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[465,144,388]),
    [iquote('hyper,465,144,388')] ).

cnf(468,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[466,132,198]),
    [iquote('hyper,466,132,198')] ).

cnf(470,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[468,105,171]),
    [iquote('hyper,468,105,171')] ).

cnf(471,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[470,23,387]),
    [iquote('hyper,470,23,387')] ).

cnf(472,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[471,74,457]),
    [iquote('hyper,471,74,457')] ).

cnf(473,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_5
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[472,128,175]),
    [iquote('hyper,472,128,175')] ).

cnf(474,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[473,36,454]),
    [iquote('hyper,473,36,454')] ).

cnf(475,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[474,101,191]),
    [iquote('hyper,474,101,191')] ).

cnf(476,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[475,144,455]),
    [iquote('hyper,475,144,455')] ).

cnf(477,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[476,132,198]),
    [iquote('hyper,476,132,198')] ).

cnf(478,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[477,70,471]),
    [iquote('hyper,477,70,471')] ).

cnf(479,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[478,46,205]),
    [iquote('hyper,478,46,205')] ).

cnf(480,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[479,107,191]),
    [iquote('hyper,479,107,191')] ).

cnf(481,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | vertical_3_4
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[480,148,183]),
    [iquote('hyper,480,148,183')] ).

cnf(482,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[480,144,455]),
    [iquote('hyper,480,144,455')] ).

cnf(483,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[482,132,198]),
    [iquote('hyper,482,132,198')] ).

cnf(484,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[483,87,167]),
    [iquote('hyper,483,87,167')] ).

cnf(485,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[484,13,151]),
    [iquote('hyper,484,13,151')] ).

cnf(486,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[485,68,481]),
    [iquote('hyper,485,68,481')] ).

cnf(487,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[486,132,198]),
    [iquote('hyper,486,132,198')] ).

cnf(488,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[487,124,195]),
    [iquote('hyper,487,124,195')] ).

cnf(489,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[488,144,480]),
    [iquote('hyper,488,144,480')] ).

cnf(490,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[489,132,198]),
    [iquote('hyper,489,132,198')] ).

cnf(492,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[490,103,479]),
    [iquote('hyper,490,103,479')] ).

cnf(493,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | vertical_2_1
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[492,87,167]),
    [iquote('hyper,492,87,167')] ).

cnf(494,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_1 ),
    inference(hyper,[status(thm)],[493,13,151]),
    [iquote('hyper,493,13,151')] ).

cnf(495,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[494,52,460]),
    [iquote('hyper,494,52,460')] ).

cnf(496,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[495,111,171]),
    [iquote('hyper,495,111,171')] ).

cnf(497,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[496,23,387]),
    [iquote('hyper,496,23,387')] ).

cnf(498,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[497,85,187]),
    [iquote('hyper,497,85,187')] ).

cnf(499,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[498,132,458]),
    [iquote('hyper,498,132,458')] ).

cnf(500,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[499,68,389]),
    [iquote('hyper,499,68,389')] ).

cnf(502,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[500,134,179]),
    [iquote('hyper,500,134,179')] ).

cnf(503,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[502,52,494]),
    [iquote('hyper,502,52,494')] ).

cnf(504,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[503,124,195]),
    [iquote('hyper,503,124,195')] ).

cnf(505,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[504,144,388]),
    [iquote('hyper,504,144,388')] ).

cnf(507,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[505,134,179]),
    [iquote('hyper,505,134,179')] ).

cnf(508,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[507,52,494]),
    [iquote('hyper,507,52,494')] ).

cnf(510,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[508,105,171]),
    [iquote('hyper,508,105,171')] ).

cnf(511,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[510,23,387]),
    [iquote('hyper,510,23,387')] ).

cnf(512,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[511,111,171]),
    [iquote('hyper,511,111,171')] ).

cnf(514,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[512,23,387]),
    [iquote('hyper,512,23,387')] ).

cnf(516,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[514,85,187]),
    [iquote('hyper,514,85,187')] ).

cnf(517,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[516,132,500]),
    [iquote('hyper,516,132,500')] ).

cnf(518,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_4 ),
    inference(hyper,[status(thm)],[517,124,195]),
    [iquote('hyper,517,124,195')] ).

cnf(519,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[518,144,388]),
    [iquote('hyper,518,144,388')] ).

cnf(521,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[519,132,516]),
    [iquote('hyper,519,132,516')] ).

cnf(523,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_3
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[521,105,171]),
    [iquote('hyper,521,105,171')] ).

cnf(525,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_3 ),
    inference(hyper,[status(thm)],[523,23,387]),
    [iquote('hyper,523,23,387')] ).

cnf(526,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3
    | horizontal_4_4 ),
    inference(hyper,[status(thm)],[525,74,457]),
    [iquote('hyper,525,74,457')] ).

cnf(527,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | vertical_2_5
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[526,128,175]),
    [iquote('hyper,526,128,175')] ).

cnf(528,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_3 ),
    inference(hyper,[status(thm)],[527,36,454]),
    [iquote('hyper,527,36,454')] ).

cnf(529,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2
    | horizontal_5_3 ),
    inference(hyper,[status(thm)],[528,101,191]),
    [iquote('hyper,528,101,191')] ).

cnf(530,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_2 ),
    inference(hyper,[status(thm)],[529,144,455]),
    [iquote('hyper,529,144,455')] ).

cnf(531,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | vertical_3_2
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[530,134,179]),
    [iquote('hyper,530,134,179')] ).

cnf(532,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_1
    | horizontal_4_2 ),
    inference(hyper,[status(thm)],[531,52,494]),
    [iquote('hyper,531,52,494')] ).

cnf(533,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_4_1 ),
    inference(hyper,[status(thm)],[532,103,528]),
    [iquote('hyper,532,103,528')] ).

cnf(534,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4
    | horizontal_5_1 ),
    inference(hyper,[status(thm)],[533,85,187]),
    [iquote('hyper,533,85,187')] ).

cnf(535,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2
    | horizontal_3_4 ),
    inference(hyper,[status(thm)],[534,132,530]),
    [iquote('hyper,534,132,530')] ).

cnf(536,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3
    | horizontal_3_2 ),
    inference(hyper,[status(thm)],[535,70,525]),
    [iquote('hyper,535,70,525')] ).

cnf(537,plain,
    ( horizontal_1_1
    | horizontal_2_1
    | horizontal_2_3 ),
    inference(hyper,[status(thm)],[536,48,494]),
    [iquote('hyper,536,48,494')] ).

cnf(539,plain,
    ( horizontal_1_1
    | horizontal_2_1 ),
    inference(hyper,[status(thm)],[537,21,387]),
    [iquote('hyper,537,21,387')] ).

cnf(540,plain,
    horizontal_1_1,
    inference(hyper,[status(thm)],[539,11,151]),
    [iquote('hyper,539,11,151')] ).

cnf(541,plain,
    $false,
    inference(binary,[status(thm)],[540,5]),
    [iquote('binary,540.1,5.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ016-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 01:44:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.76/1.97  ----- Otter 3.3f, August 2004 -----
% 1.76/1.97  The process was started by sandbox2 on n004.cluster.edu,
% 1.76/1.97  Wed Jul 27 01:44:36 2022
% 1.76/1.97  The command was "./otter".  The process ID is 27264.
% 1.76/1.97  
% 1.76/1.97  set(prolog_style_variables).
% 1.76/1.97  set(auto).
% 1.76/1.97     dependent: set(auto1).
% 1.76/1.97     dependent: set(process_input).
% 1.76/1.97     dependent: clear(print_kept).
% 1.76/1.97     dependent: clear(print_new_demod).
% 1.76/1.97     dependent: clear(print_back_demod).
% 1.76/1.97     dependent: clear(print_back_sub).
% 1.76/1.97     dependent: set(control_memory).
% 1.76/1.97     dependent: assign(max_mem, 12000).
% 1.76/1.97     dependent: assign(pick_given_ratio, 4).
% 1.76/1.97     dependent: assign(stats_level, 1).
% 1.76/1.97     dependent: assign(max_seconds, 10800).
% 1.76/1.97  clear(print_given).
% 1.76/1.97  
% 1.76/1.97  list(usable).
% 1.76/1.97  0 [] -horizontal_1_2.
% 1.76/1.97  0 [] -horizontal_1_3.
% 1.76/1.97  0 [] -vertical_1_2.
% 1.76/1.97  0 [] -vertical_1_3.
% 1.76/1.97  0 [] -horizontal_1_1.
% 1.76/1.97  0 [] -horizontal_1_2.
% 1.76/1.97  0 [] horizontal_1_1|vertical_1_1.
% 1.76/1.97  0 [] horizontal_1_4|vertical_1_4|horizontal_1_3.
% 1.76/1.97  0 [] vertical_1_5|horizontal_1_4.
% 1.76/1.97  0 [] horizontal_2_1|vertical_2_1|vertical_1_1.
% 1.76/1.97  0 [] horizontal_2_2|vertical_2_2|horizontal_2_1|vertical_1_2.
% 1.76/1.97  0 [] horizontal_2_3|vertical_2_3|horizontal_2_2|vertical_1_3.
% 1.76/1.97  0 [] horizontal_2_4|vertical_2_4|horizontal_2_3|vertical_1_4.
% 1.76/1.97  0 [] vertical_2_5|horizontal_2_4|vertical_1_5.
% 1.76/1.97  0 [] horizontal_3_1|vertical_3_1|vertical_2_1.
% 1.76/1.97  0 [] horizontal_3_2|vertical_3_2|horizontal_3_1|vertical_2_2.
% 1.76/1.97  0 [] horizontal_3_3|vertical_3_3|horizontal_3_2|vertical_2_3.
% 1.76/1.97  0 [] horizontal_3_4|vertical_3_4|horizontal_3_3|vertical_2_4.
% 1.76/1.97  0 [] vertical_3_5|horizontal_3_4|vertical_2_5.
% 1.76/1.97  0 [] horizontal_4_1|vertical_4_1|vertical_3_1.
% 1.76/1.97  0 [] horizontal_4_2|vertical_4_2|horizontal_4_1|vertical_3_2.
% 1.76/1.97  0 [] horizontal_4_3|vertical_4_3|horizontal_4_2|vertical_3_3.
% 1.76/1.97  0 [] horizontal_4_4|vertical_4_4|horizontal_4_3|vertical_3_4.
% 1.76/1.97  0 [] vertical_4_5|horizontal_4_4|vertical_3_5.
% 1.76/1.97  0 [] horizontal_5_1|vertical_4_1.
% 1.76/1.97  0 [] horizontal_5_2|horizontal_5_1|vertical_4_2.
% 1.76/1.97  0 [] horizontal_5_3|horizontal_5_2|vertical_4_3.
% 1.76/1.97  0 [] horizontal_5_4|horizontal_5_3|vertical_4_4.
% 1.76/1.97  0 [] horizontal_5_4|vertical_4_5.
% 1.76/1.97  0 [] -horizontal_1_1| -vertical_1_1.
% 1.76/1.97  0 [] -horizontal_1_4| -vertical_1_4.
% 1.76/1.97  0 [] -horizontal_1_4| -horizontal_1_3.
% 1.76/1.97  0 [] -vertical_1_4| -horizontal_1_3.
% 1.76/1.97  0 [] -vertical_1_5| -horizontal_1_4.
% 1.76/1.97  0 [] -horizontal_2_1| -vertical_2_1.
% 1.76/1.97  0 [] -horizontal_2_1| -vertical_1_1.
% 1.76/1.97  0 [] -vertical_2_1| -vertical_1_1.
% 1.76/1.97  0 [] -horizontal_2_2| -vertical_2_2.
% 1.76/1.97  0 [] -horizontal_2_2| -horizontal_2_1.
% 1.76/1.97  0 [] -horizontal_2_2| -vertical_1_2.
% 1.76/1.97  0 [] -vertical_2_2| -horizontal_2_1.
% 1.76/1.97  0 [] -vertical_2_2| -vertical_1_2.
% 1.76/1.97  0 [] -horizontal_2_1| -vertical_1_2.
% 1.76/1.97  0 [] -horizontal_2_3| -vertical_2_3.
% 1.76/1.97  0 [] -horizontal_2_3| -horizontal_2_2.
% 1.76/1.97  0 [] -horizontal_2_3| -vertical_1_3.
% 1.76/1.97  0 [] -vertical_2_3| -horizontal_2_2.
% 1.76/1.97  0 [] -vertical_2_3| -vertical_1_3.
% 1.76/1.97  0 [] -horizontal_2_2| -vertical_1_3.
% 1.76/1.97  0 [] -horizontal_2_4| -vertical_2_4.
% 1.76/1.97  0 [] -horizontal_2_4| -horizontal_2_3.
% 1.76/1.97  0 [] -horizontal_2_4| -vertical_1_4.
% 1.76/1.97  0 [] -vertical_2_4| -horizontal_2_3.
% 1.76/1.97  0 [] -vertical_2_4| -vertical_1_4.
% 1.76/1.97  0 [] -horizontal_2_3| -vertical_1_4.
% 1.76/1.97  0 [] -vertical_2_5| -horizontal_2_4.
% 1.76/1.97  0 [] -vertical_2_5| -vertical_1_5.
% 1.76/1.97  0 [] -horizontal_2_4| -vertical_1_5.
% 1.76/1.97  0 [] -horizontal_3_1| -vertical_3_1.
% 1.76/1.97  0 [] -horizontal_3_1| -vertical_2_1.
% 1.76/1.97  0 [] -vertical_3_1| -vertical_2_1.
% 1.76/1.97  0 [] -horizontal_3_2| -vertical_3_2.
% 1.76/1.97  0 [] -horizontal_3_2| -horizontal_3_1.
% 1.76/1.97  0 [] -horizontal_3_2| -vertical_2_2.
% 1.76/1.97  0 [] -vertical_3_2| -horizontal_3_1.
% 1.76/1.97  0 [] -vertical_3_2| -vertical_2_2.
% 1.76/1.97  0 [] -horizontal_3_1| -vertical_2_2.
% 1.76/1.97  0 [] -horizontal_3_3| -vertical_3_3.
% 1.76/1.97  0 [] -horizontal_3_3| -horizontal_3_2.
% 1.76/1.97  0 [] -horizontal_3_3| -vertical_2_3.
% 1.76/1.97  0 [] -vertical_3_3| -horizontal_3_2.
% 1.76/1.97  0 [] -vertical_3_3| -vertical_2_3.
% 1.76/1.97  0 [] -horizontal_3_2| -vertical_2_3.
% 1.76/1.97  0 [] -horizontal_3_4| -vertical_3_4.
% 1.76/1.97  0 [] -horizontal_3_4| -horizontal_3_3.
% 1.76/1.97  0 [] -horizontal_3_4| -vertical_2_4.
% 1.76/1.97  0 [] -vertical_3_4| -horizontal_3_3.
% 1.76/1.97  0 [] -vertical_3_4| -vertical_2_4.
% 1.76/1.97  0 [] -horizontal_3_3| -vertical_2_4.
% 1.76/1.97  0 [] -vertical_3_5| -horizontal_3_4.
% 1.76/1.97  0 [] -vertical_3_5| -vertical_2_5.
% 1.76/1.97  0 [] -horizontal_3_4| -vertical_2_5.
% 1.76/1.97  0 [] -horizontal_4_1| -vertical_4_1.
% 1.76/1.97  0 [] -horizontal_4_1| -vertical_3_1.
% 1.76/1.97  0 [] -vertical_4_1| -vertical_3_1.
% 1.76/1.97  0 [] -horizontal_4_2| -vertical_4_2.
% 1.76/1.97  0 [] -horizontal_4_2| -horizontal_4_1.
% 1.76/1.97  0 [] -horizontal_4_2| -vertical_3_2.
% 1.76/1.97  0 [] -vertical_4_2| -horizontal_4_1.
% 1.76/1.97  0 [] -vertical_4_2| -vertical_3_2.
% 1.76/1.97  0 [] -horizontal_4_1| -vertical_3_2.
% 1.76/1.97  0 [] -horizontal_4_3| -vertical_4_3.
% 1.76/1.97  0 [] -horizontal_4_3| -horizontal_4_2.
% 1.76/1.97  0 [] -horizontal_4_3| -vertical_3_3.
% 1.76/1.97  0 [] -vertical_4_3| -horizontal_4_2.
% 1.76/1.97  0 [] -vertical_4_3| -vertical_3_3.
% 1.76/1.97  0 [] -horizontal_4_2| -vertical_3_3.
% 1.76/1.97  0 [] -horizontal_4_4| -vertical_4_4.
% 1.76/1.97  0 [] -horizontal_4_4| -horizontal_4_3.
% 1.76/1.97  0 [] -horizontal_4_4| -vertical_3_4.
% 1.76/1.97  0 [] -vertical_4_4| -horizontal_4_3.
% 1.76/1.97  0 [] -vertical_4_4| -vertical_3_4.
% 1.76/1.97  0 [] -horizontal_4_3| -vertical_3_4.
% 1.76/1.97  0 [] -vertical_4_5| -horizontal_4_4.
% 1.76/1.97  0 [] -vertical_4_5| -vertical_3_5.
% 1.76/1.97  0 [] -horizontal_4_4| -vertical_3_5.
% 1.76/1.97  0 [] -horizontal_5_1| -vertical_4_1.
% 1.76/1.97  0 [] -horizontal_5_2| -horizontal_5_1.
% 1.76/1.97  0 [] -horizontal_5_2| -vertical_4_2.
% 1.76/1.97  0 [] -horizontal_5_1| -vertical_4_2.
% 1.76/1.97  0 [] -horizontal_5_3| -horizontal_5_2.
% 1.76/1.97  0 [] -horizontal_5_3| -vertical_4_3.
% 1.76/1.97  0 [] -horizontal_5_2| -vertical_4_3.
% 1.76/1.97  0 [] -horizontal_5_4| -horizontal_5_3.
% 1.76/1.97  0 [] -horizontal_5_4| -vertical_4_4.
% 1.76/1.97  0 [] -horizontal_5_3| -vertical_4_4.
% 1.76/1.97  0 [] -horizontal_5_4| -vertical_4_5.
% 1.76/1.97  end_of_list.
% 1.76/1.97  
% 1.76/1.97  SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=4.
% 1.76/1.97  
% 1.76/1.97  The clause set is propositional; the strategy will be
% 1.76/1.97  ordered hyperresolution with the propositional
% 1.76/1.97  optimizations, with satellites in sos and nuclei in usable.
% 1.76/1.97  
% 1.76/1.97     dependent: set(hyper_res).
% 1.76/1.97     dependent: set(propositional).
% 1.76/1.97     dependent: set(sort_literals).
% 1.76/1.97  
% 1.76/1.97  ------------> process usable:
% 1.76/1.97  ** KEPT (pick-wt=1): 1 [] -horizontal_1_2.
% 1.76/1.97  ** KEPT (pick-wt=1): 2 [] -horizontal_1_3.
% 1.76/1.97  ** KEPT (pick-wt=1): 3 [] -vertical_1_2.
% 1.76/1.97  ** KEPT (pick-wt=1): 4 [] -vertical_1_3.
% 1.76/1.97  ** KEPT (pick-wt=1): 5 [] -horizontal_1_1.
% 1.76/1.97    Following clause subsumed by 1 during input processing: 0 [] -horizontal_1_2.
% 1.76/1.97    Following clause subsumed by 5 during input processing: 0 [] -horizontal_1_1| -vertical_1_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 6 [] -horizontal_1_4| -vertical_1_4.
% 1.76/1.97    Following clause subsumed by 2 during input processing: 0 [propositional] -horizontal_1_3| -horizontal_1_4.
% 1.76/1.97    Following clause subsumed by 2 during input processing: 0 [propositional] -horizontal_1_3| -vertical_1_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 8 [copy,7,propositional] -horizontal_1_4| -vertical_1_5.
% 1.76/1.97  ** KEPT (pick-wt=2): 9 [] -horizontal_2_1| -vertical_2_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 11 [copy,10,propositional] -vertical_1_1| -horizontal_2_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 13 [copy,12,propositional] -vertical_1_1| -vertical_2_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 14 [] -horizontal_2_2| -vertical_2_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 16 [copy,15,propositional] -horizontal_2_1| -horizontal_2_2.
% 1.76/1.97    Following clause subsumed by 3 during input processing: 0 [propositional] -vertical_1_2| -horizontal_2_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 18 [copy,17,propositional] -horizontal_2_1| -vertical_2_2.
% 1.76/1.97    Following clause subsumed by 3 during input processing: 0 [propositional] -vertical_1_2| -vertical_2_2.
% 1.76/1.97    Following clause subsumed by 3 during input processing: 0 [propositional] -vertical_1_2| -horizontal_2_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 19 [] -horizontal_2_3| -vertical_2_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 21 [copy,20,propositional] -horizontal_2_2| -horizontal_2_3.
% 1.76/1.97    Following clause subsumed by 4 during input processing: 0 [propositional] -vertical_1_3| -horizontal_2_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 23 [copy,22,propositional] -horizontal_2_2| -vertical_2_3.
% 1.76/1.97    Following clause subsumed by 4 during input processing: 0 [propositional] -vertical_1_3| -vertical_2_3.
% 1.76/1.97    Following clause subsumed by 4 during input processing: 0 [propositional] -vertical_1_3| -horizontal_2_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 24 [] -horizontal_2_4| -vertical_2_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 26 [copy,25,propositional] -horizontal_2_3| -horizontal_2_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 28 [copy,27,propositional] -vertical_1_4| -horizontal_2_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 30 [copy,29,propositional] -horizontal_2_3| -vertical_2_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 32 [copy,31,propositional] -vertical_1_4| -vertical_2_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 34 [copy,33,propositional] -vertical_1_4| -horizontal_2_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 36 [copy,35,propositional] -horizontal_2_4| -vertical_2_5.
% 1.76/1.97  ** KEPT (pick-wt=2): 38 [copy,37,propositional] -vertical_1_5| -vertical_2_5.
% 1.76/1.97  ** KEPT (pick-wt=2): 40 [copy,39,propositional] -vertical_1_5| -horizontal_2_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 41 [] -horizontal_3_1| -vertical_3_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 43 [copy,42,propositional] -vertical_2_1| -horizontal_3_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 45 [copy,44,propositional] -vertical_2_1| -vertical_3_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 46 [] -horizontal_3_2| -vertical_3_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 48 [copy,47,propositional] -horizontal_3_1| -horizontal_3_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 50 [copy,49,propositional] -vertical_2_2| -horizontal_3_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 52 [copy,51,propositional] -horizontal_3_1| -vertical_3_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 54 [copy,53,propositional] -vertical_2_2| -vertical_3_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 56 [copy,55,propositional] -vertical_2_2| -horizontal_3_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 57 [] -horizontal_3_3| -vertical_3_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 59 [copy,58,propositional] -horizontal_3_2| -horizontal_3_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 61 [copy,60,propositional] -vertical_2_3| -horizontal_3_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 63 [copy,62,propositional] -horizontal_3_2| -vertical_3_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 65 [copy,64,propositional] -vertical_2_3| -vertical_3_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 67 [copy,66,propositional] -vertical_2_3| -horizontal_3_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 68 [] -horizontal_3_4| -vertical_3_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 70 [copy,69,propositional] -horizontal_3_3| -horizontal_3_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 72 [copy,71,propositional] -vertical_2_4| -horizontal_3_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 74 [copy,73,propositional] -horizontal_3_3| -vertical_3_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 76 [copy,75,propositional] -vertical_2_4| -vertical_3_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 78 [copy,77,propositional] -vertical_2_4| -horizontal_3_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 80 [copy,79,propositional] -horizontal_3_4| -vertical_3_5.
% 1.76/1.97  ** KEPT (pick-wt=2): 82 [copy,81,propositional] -vertical_2_5| -vertical_3_5.
% 1.76/1.97  ** KEPT (pick-wt=2): 84 [copy,83,propositional] -vertical_2_5| -horizontal_3_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 85 [] -horizontal_4_1| -vertical_4_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 87 [copy,86,propositional] -vertical_3_1| -horizontal_4_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 89 [copy,88,propositional] -vertical_3_1| -vertical_4_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 90 [] -horizontal_4_2| -vertical_4_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 92 [copy,91,propositional] -horizontal_4_1| -horizontal_4_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 94 [copy,93,propositional] -vertical_3_2| -horizontal_4_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 96 [copy,95,propositional] -horizontal_4_1| -vertical_4_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 98 [copy,97,propositional] -vertical_3_2| -vertical_4_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 100 [copy,99,propositional] -vertical_3_2| -horizontal_4_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 101 [] -horizontal_4_3| -vertical_4_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 103 [copy,102,propositional] -horizontal_4_2| -horizontal_4_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 105 [copy,104,propositional] -vertical_3_3| -horizontal_4_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 107 [copy,106,propositional] -horizontal_4_2| -vertical_4_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 109 [copy,108,propositional] -vertical_3_3| -vertical_4_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 111 [copy,110,propositional] -vertical_3_3| -horizontal_4_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 112 [] -horizontal_4_4| -vertical_4_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 114 [copy,113,propositional] -horizontal_4_3| -horizontal_4_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 116 [copy,115,propositional] -vertical_3_4| -horizontal_4_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 118 [copy,117,propositional] -horizontal_4_3| -vertical_4_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 120 [copy,119,propositional] -vertical_3_4| -vertical_4_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 122 [copy,121,propositional] -vertical_3_4| -horizontal_4_3.
% 1.76/1.97  ** KEPT (pick-wt=2): 124 [copy,123,propositional] -horizontal_4_4| -vertical_4_5.
% 1.76/1.97  ** KEPT (pick-wt=2): 126 [copy,125,propositional] -vertical_3_5| -vertical_4_5.
% 1.76/1.97  ** KEPT (pick-wt=2): 128 [copy,127,propositional] -vertical_3_5| -horizontal_4_4.
% 1.76/1.97  ** KEPT (pick-wt=2): 130 [copy,129,propositional] -vertical_4_1| -horizontal_5_1.
% 1.76/1.97  ** KEPT (pick-wt=2): 132 [copy,131,propositional] -horizontal_5_1| -horizontal_5_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 134 [copy,133,propositional] -vertical_4_2| -horizontal_5_2.
% 1.76/1.97  ** KEPT (pick-wt=2): 136 [copy,135,propositional] -vertical_4_2| -horizontal_5_1.
% 1.82/2.00  ** KEPT (pick-wt=2): 138 [copy,137,propositional] -horizontal_5_2| -horizontal_5_3.
% 1.82/2.00  ** KEPT (pick-wt=2): 140 [copy,139,propositional] -vertical_4_3| -horizontal_5_3.
% 1.82/2.00  ** KEPT (pick-wt=2): 142 [copy,141,propositional] -vertical_4_3| -horizontal_5_2.
% 1.82/2.00  ** KEPT (pick-wt=2): 144 [copy,143,propositional] -horizontal_5_3| -horizontal_5_4.
% 1.82/2.00  ** KEPT (pick-wt=2): 146 [copy,145,propositional] -vertical_4_4| -horizontal_5_4.
% 1.82/2.00  ** KEPT (pick-wt=2): 148 [copy,147,propositional] -vertical_4_4| -horizontal_5_3.
% 1.82/2.00  ** KEPT (pick-wt=2): 150 [copy,149,propositional] -vertical_4_5| -horizontal_5_4.
% 1.82/2.00  
% 1.82/2.00  ------------> process sos:
% 1.82/2.00  ** KEPT (pick-wt=2): 151 [] horizontal_1_1|vertical_1_1.
% 1.82/2.00  ** KEPT (pick-wt=3): 153 [copy,152,propositional] horizontal_1_3|horizontal_1_4|vertical_1_4.
% 1.82/2.00  ** KEPT (pick-wt=2): 155 [copy,154,propositional] horizontal_1_4|vertical_1_5.
% 1.82/2.00  ** KEPT (pick-wt=3): 157 [copy,156,propositional] vertical_1_1|horizontal_2_1|vertical_2_1.
% 1.82/2.00  ** KEPT (pick-wt=4): 159 [copy,158,propositional] vertical_1_2|horizontal_2_1|horizontal_2_2|vertical_2_2.
% 1.82/2.00  ** KEPT (pick-wt=4): 161 [copy,160,propositional] vertical_1_3|horizontal_2_2|horizontal_2_3|vertical_2_3.
% 1.82/2.00  ** KEPT (pick-wt=4): 163 [copy,162,propositional] vertical_1_4|horizontal_2_3|horizontal_2_4|vertical_2_4.
% 1.82/2.00  ** KEPT (pick-wt=3): 165 [copy,164,propositional] vertical_1_5|horizontal_2_4|vertical_2_5.
% 1.82/2.00  ** KEPT (pick-wt=3): 167 [copy,166,propositional] vertical_2_1|horizontal_3_1|vertical_3_1.
% 1.82/2.00  ** KEPT (pick-wt=4): 169 [copy,168,propositional] vertical_2_2|horizontal_3_1|horizontal_3_2|vertical_3_2.
% 1.82/2.00  ** KEPT (pick-wt=4): 171 [copy,170,propositional] vertical_2_3|horizontal_3_2|horizontal_3_3|vertical_3_3.
% 1.82/2.00  ** KEPT (pick-wt=4): 173 [copy,172,propositional] vertical_2_4|horizontal_3_3|horizontal_3_4|vertical_3_4.
% 1.82/2.00  ** KEPT (pick-wt=3): 175 [copy,174,propositional] vertical_2_5|horizontal_3_4|vertical_3_5.
% 1.82/2.00  ** KEPT (pick-wt=3): 177 [copy,176,propositional] vertical_3_1|horizontal_4_1|vertical_4_1.
% 1.82/2.00  ** KEPT (pick-wt=4): 179 [copy,178,propositional] vertical_3_2|horizontal_4_1|horizontal_4_2|vertical_4_2.
% 1.82/2.00  ** KEPT (pick-wt=4): 181 [copy,180,propositional] vertical_3_3|horizontal_4_2|horizontal_4_3|vertical_4_3.
% 1.82/2.00  ** KEPT (pick-wt=4): 183 [copy,182,propositional] vertical_3_4|horizontal_4_3|horizontal_4_4|vertical_4_4.
% 1.82/2.00  ** KEPT (pick-wt=3): 185 [copy,184,propositional] vertical_3_5|horizontal_4_4|vertical_4_5.
% 1.82/2.00  ** KEPT (pick-wt=2): 187 [copy,186,propositional] vertical_4_1|horizontal_5_1.
% 1.82/2.00  ** KEPT (pick-wt=3): 189 [copy,188,propositional] vertical_4_2|horizontal_5_1|horizontal_5_2.
% 1.82/2.00  ** KEPT (pick-wt=3): 191 [copy,190,propositional] vertical_4_3|horizontal_5_2|horizontal_5_3.
% 1.82/2.00  ** KEPT (pick-wt=3): 193 [copy,192,propositional] vertical_4_4|horizontal_5_3|horizontal_5_4.
% 1.82/2.00  ** KEPT (pick-wt=2): 195 [copy,194,propositional] vertical_4_5|horizontal_5_4.
% 1.82/2.00  
% 1.82/2.00  ======= end of input processing =======
% 1.82/2.00  
% 1.82/2.00  =========== start of search ===========
% 1.82/2.00  
% 1.82/2.00  -------- PROOF -------- 
% 1.82/2.00  
% 1.82/2.00  ----> UNIT CONFLICT at   0.04 sec ----> 541 [binary,540.1,5.1] $F.
% 1.82/2.00  
% 1.82/2.00  Length of proof is 294.  Level of proof is 239.
% 1.82/2.00  
% 1.82/2.00  ---------------- PROOF ----------------
% 1.82/2.00  % SZS status Unsatisfiable
% 1.82/2.00  % SZS output start Refutation
% See solution above
% 1.82/2.01  ------------ end of proof -------------
% 1.82/2.01  
% 1.82/2.01  
% 1.82/2.01  Search stopped by max_proofs option.
% 1.82/2.01  
% 1.82/2.01  
% 1.82/2.01  Search stopped by max_proofs option.
% 1.82/2.01  
% 1.82/2.01  ============ end of search ============
% 1.82/2.01  
% 1.82/2.01  -------------- statistics -------------
% 1.82/2.01  clauses given                316
% 1.82/2.01  clauses generated           1917
% 1.82/2.01  clauses kept                 452
% 1.82/2.01  clauses forward subsumed    1582
% 1.82/2.01  clauses back subsumed        330
% 1.82/2.01  Kbytes malloced              976
% 1.82/2.01  
% 1.82/2.01  ----------- times (seconds) -----------
% 1.82/2.01  user CPU time          0.04          (0 hr, 0 min, 0 sec)
% 1.82/2.01  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.82/2.01  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.82/2.01  
% 1.82/2.01  That finishes the proof of the theorem.
% 1.82/2.01  
% 1.82/2.01  Process 27264 finished Wed Jul 27 01:44:38 2022
% 1.82/2.01  Otter interrupted
% 1.82/2.01  PROOF FOUND
%------------------------------------------------------------------------------