TSTP Solution File: PUZ015-2.006 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : PUZ015-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:18:41 EDT 2023

% Result   : Unsatisfiable 0.19s 0.60s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named covered_5_2)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( $pr(vertical_5_2)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(cnf_transformation,[],[covered_5_2]) ).

cnf('2',plain,
    ( ~ $pr(vertical_5_2)
    | ~ $pr(horizontal_6_2) ),
    inference(cnf_transformation,[],[unique_cover3_6_2]) ).

cnf('3',plain,
    ( ~ $pr(horizontal_6_2)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( $pr(vertical_5_3)
    | $pr(horizontal_6_2)
    | $pr(horizontal_6_3) ),
    inference(cnf_transformation,[],[covered_6_3]) ).

cnf('5',plain,
    ( ~ $pr(horizontal_6_3)
    | ~ $pr(horizontal_6_4) ),
    inference(cnf_transformation,[],[unique_cover2_6_4]) ).

cnf('6',plain,
    ( ~ $pr(horizontal_6_4)
    | $pr(vertical_5_3)
    | $pr(horizontal_6_2) ),
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    ( $pr(vertical_5_5)
    | $pr(horizontal_6_4)
    | $pr(horizontal_6_5) ),
    inference(cnf_transformation,[],[covered_6_5]) ).

cnf('8',plain,
    ~ $pr(horizontal_6_5),
    inference(cnf_transformation,[],[uncovered3_6_6]) ).

cnf('9',plain,
    ( $pr(vertical_5_5)
    | $pr(horizontal_6_4) ),
    inference(simplify,[],['7','8']) ).

cnf('10',plain,
    ( $pr(vertical_5_5)
    | $pr(vertical_5_3)
    | $pr(horizontal_6_2) ),
    inference(resolution,[],['6','9']) ).

cnf('11',plain,
    ( $pr(vertical_5_5)
    | $pr(vertical_5_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['3','10']) ).

cnf('12',plain,
    ( ~ $pr(vertical_5_5)
    | ~ $pr(vertical_4_5) ),
    inference(cnf_transformation,[],[unique_cover5_5_5]) ).

cnf('13',plain,
    ( ~ $pr(vertical_4_5)
    | $pr(vertical_5_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_4_5) ),
    inference(cnf_transformation,[],[covered_4_5]) ).

cnf('15',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_5_3)
    | $pr(vertical_3_5)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['13','14']) ).

cnf('16',plain,
    ( ~ $pr(vertical_5_3)
    | ~ $pr(vertical_4_3) ),
    inference(cnf_transformation,[],[unique_cover5_5_3]) ).

cnf('17',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2)
    | ~ $pr(vertical_4_3) ),
    inference(resolution,[],['15','16']) ).

cnf('18',plain,
    ( ~ $pr(horizontal_5_2)
    | ~ $pr(vertical_4_3) ),
    inference(cnf_transformation,[],[unique_cover6_5_3]) ).

cnf('19',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['17','18']) ).

cnf('20',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_4_3) ),
    inference(cnf_transformation,[],[covered_4_3]) ).

cnf('21',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['19','20']) ).

cnf('22',plain,
    ( ~ $pr(horizontal_6_1)
    | ~ $pr(horizontal_6_2) ),
    inference(cnf_transformation,[],[unique_cover2_6_2]) ).

cnf('23',plain,
    ( $pr(vertical_5_1)
    | $pr(horizontal_6_1) ),
    inference(cnf_transformation,[],[covered_6_1]) ).

cnf('24',plain,
    ( ~ $pr(horizontal_6_2)
    | $pr(vertical_5_1) ),
    inference(resolution,[],['22','23']) ).

cnf('25',plain,
    ( $pr(vertical_5_5)
    | $pr(vertical_5_3)
    | $pr(vertical_5_1) ),
    inference(resolution,[],['10','24']) ).

cnf('26',plain,
    ( ~ $pr(vertical_4_5)
    | $pr(vertical_5_3)
    | $pr(vertical_5_1) ),
    inference(resolution,[],['25','12']) ).

cnf('27',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_5_3)
    | $pr(vertical_5_1)
    | $pr(vertical_3_5) ),
    inference(resolution,[],['26','14']) ).

cnf('28',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_5_1)
    | $pr(vertical_3_5) ),
    inference(resolution,[],['27','16']) ).

cnf('29',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_5_1)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3) ),
    inference(resolution,[],['28','20']) ).

cnf('30',plain,
    ( ~ $pr(vertical_5_1)
    | ~ $pr(horizontal_5_1) ),
    inference(cnf_transformation,[],[unique_cover1_5_1]) ).

cnf('31',plain,
    ( ~ $pr(horizontal_5_1)
    | $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3) ),
    inference(resolution,[],['29','30']) ).

cnf('32',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['21','31']) ).

cnf('33',plain,
    ( ~ $pr(horizontal_4_5)
    | ~ $pr(vertical_4_6) ),
    inference(cnf_transformation,[],[unique_cover4_4_6]) ).

cnf('34',plain,
    ( ~ $pr(vertical_4_6)
    | $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['32','33']) ).

cnf('35',plain,
    ( ~ $pr(vertical_5_5)
    | ~ $pr(horizontal_5_5) ),
    inference(cnf_transformation,[],[unique_cover1_5_5]) ).

cnf('36',plain,
    ( ~ $pr(horizontal_5_5)
    | $pr(vertical_5_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['11','35']) ).

cnf('37',plain,
    ( $pr(vertical_5_6)
    | $pr(horizontal_5_5)
    | $pr(vertical_4_6) ),
    inference(cnf_transformation,[],[covered_5_6]) ).

cnf('38',plain,
    ~ $pr(vertical_5_6),
    inference(cnf_transformation,[],[uncovered4_6_6]) ).

cnf('39',plain,
    ( $pr(horizontal_5_5)
    | $pr(vertical_4_6) ),
    inference(simplify,[],['37','38']) ).

cnf('40',plain,
    ( $pr(vertical_5_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_6)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['36','39']) ).

cnf('41',plain,
    ( $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_6)
    | $pr(vertical_4_2)
    | ~ $pr(vertical_4_3) ),
    inference(resolution,[],['40','16']) ).

cnf('42',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['41','18']) ).

cnf('43',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['42','20']) ).

cnf('44',plain,
    ( ~ $pr(horizontal_5_5)
    | $pr(vertical_5_3)
    | $pr(vertical_5_1) ),
    inference(resolution,[],['25','35']) ).

cnf('45',plain,
    ( $pr(vertical_5_3)
    | $pr(vertical_5_1)
    | $pr(vertical_4_6) ),
    inference(resolution,[],['44','39']) ).

cnf('46',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(vertical_5_1)
    | $pr(vertical_4_6) ),
    inference(resolution,[],['45','16']) ).

cnf('47',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_5_1)
    | $pr(vertical_3_3)
    | $pr(vertical_4_6) ),
    inference(resolution,[],['46','20']) ).

cnf('48',plain,
    ( ~ $pr(horizontal_5_1)
    | $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_4_6) ),
    inference(resolution,[],['47','30']) ).

cnf('49',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_4_6)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['43','48']) ).

cnf('50',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['34','49']) ).

cnf('51',plain,
    ( ~ $pr(horizontal_4_4)
    | ~ $pr(vertical_4_4) ),
    inference(cnf_transformation,[],[unique_cover1_4_4]) ).

cnf('52',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2)
    | ~ $pr(vertical_4_4) ),
    inference(resolution,[],['50','51']) ).

cnf('53',plain,
    ( ~ $pr(horizontal_4_3)
    | ~ $pr(vertical_4_4) ),
    inference(cnf_transformation,[],[unique_cover4_4_4]) ).

cnf('54',plain,
    ( ~ $pr(vertical_4_4)
    | $pr(horizontal_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['52','53']) ).

cnf('55',plain,
    ( $pr(vertical_5_4)
    | $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4) ),
    inference(cnf_transformation,[],[covered_5_4]) ).

cnf('56',plain,
    ( ~ $pr(vertical_5_4)
    | ~ $pr(horizontal_6_3) ),
    inference(cnf_transformation,[],[unique_cover6_6_4]) ).

cnf('57',plain,
    ( ~ $pr(horizontal_6_3)
    | $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['55','56']) ).

cnf('58',plain,
    ( $pr(vertical_5_3)
    | $pr(horizontal_6_2)
    | $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['57','4']) ).

cnf('59',plain,
    ( $pr(vertical_5_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['58','3']) ).

cnf('60',plain,
    ( ~ $pr(vertical_5_5)
    | ~ $pr(horizontal_5_4) ),
    inference(cnf_transformation,[],[unique_cover4_5_5]) ).

cnf('61',plain,
    ( ~ $pr(horizontal_5_4)
    | $pr(vertical_5_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['11','60']) ).

cnf('62',plain,
    ( $pr(vertical_5_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['59','61']) ).

cnf('63',plain,
    ( $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2)
    | ~ $pr(vertical_4_3) ),
    inference(resolution,[],['62','16']) ).

cnf('64',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['63','18']) ).

cnf('65',plain,
    ( ~ $pr(horizontal_5_3)
    | ~ $pr(vertical_4_3) ),
    inference(cnf_transformation,[],[unique_cover3_5_3]) ).

cnf('66',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['64','65']) ).

cnf('67',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['66','20']) ).

cnf('68',plain,
    ( $pr(vertical_5_3)
    | $pr(vertical_5_1)
    | $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['58','24']) ).

cnf('69',plain,
    ( ~ $pr(horizontal_5_4)
    | $pr(vertical_5_3)
    | $pr(vertical_5_1) ),
    inference(resolution,[],['25','60']) ).

cnf('70',plain,
    ( $pr(vertical_5_3)
    | $pr(vertical_5_1)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['68','69']) ).

cnf('71',plain,
    ( $pr(vertical_5_1)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4)
    | ~ $pr(vertical_4_3) ),
    inference(resolution,[],['70','16']) ).

cnf('72',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(vertical_5_1)
    | $pr(vertical_4_4) ),
    inference(simplify,[],['71','65']) ).

cnf('73',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_5_1)
    | $pr(vertical_3_3)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['72','20']) ).

cnf('74',plain,
    ( ~ $pr(horizontal_5_1)
    | $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['73','30']) ).

cnf('75',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['67','74']) ).

cnf('76',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['54','75']) ).

cnf('77',plain,
    ( ~ $pr(horizontal_4_3)
    | ~ $pr(horizontal_4_4) ),
    inference(cnf_transformation,[],[unique_cover2_4_4]) ).

cnf('78',plain,
    ( $pr(horizontal_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2)
    | ~ $pr(horizontal_4_4) ),
    inference(resolution,[],['76','77']) ).

cnf('79',plain,
    ( ~ $pr(horizontal_4_4)
    | ~ $pr(vertical_3_5) ),
    inference(cnf_transformation,[],[unique_cover6_4_5]) ).

cnf('80',plain,
    ( ~ $pr(horizontal_4_4)
    | $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['78','79']) ).

cnf('81',plain,
    ( ~ $pr(vertical_5_3)
    | ~ $pr(horizontal_5_3) ),
    inference(cnf_transformation,[],[unique_cover1_5_3]) ).

cnf('82',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2)
    | ~ $pr(horizontal_5_3) ),
    inference(resolution,[],['15','81']) ).

cnf('83',plain,
    ( ~ $pr(horizontal_5_2)
    | ~ $pr(horizontal_5_3) ),
    inference(cnf_transformation,[],[unique_cover2_5_3]) ).

cnf('84',plain,
    ( ~ $pr(horizontal_5_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['82','83']) ).

cnf('85',plain,
    ( ~ $pr(vertical_5_4)
    | ~ $pr(horizontal_6_4) ),
    inference(cnf_transformation,[],[unique_cover3_6_4]) ).

cnf('86',plain,
    ( ~ $pr(horizontal_6_4)
    | $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['55','85']) ).

cnf('87',plain,
    ( $pr(vertical_5_5)
    | $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['86','9']) ).

cnf('88',plain,
    ( $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4)
    | ~ $pr(vertical_4_5) ),
    inference(resolution,[],['87','12']) ).

cnf('89',plain,
    ( ~ $pr(horizontal_5_4)
    | ~ $pr(vertical_4_5) ),
    inference(cnf_transformation,[],[unique_cover6_5_5]) ).

cnf('90',plain,
    ( ~ $pr(vertical_4_5)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4) ),
    inference(simplify,[],['88','89']) ).

cnf('91',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['90','14']) ).

cnf('92',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['84','91']) ).

cnf('93',plain,
    ( ~ $pr(horizontal_5_3)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_5_1)
    | $pr(vertical_3_5) ),
    inference(resolution,[],['27','81']) ).

cnf('94',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_5_1)
    | $pr(vertical_3_5)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['93','91']) ).

cnf('95',plain,
    ( ~ $pr(horizontal_5_1)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['94','30']) ).

cnf('96',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['92','95']) ).

cnf('97',plain,
    ( ~ $pr(vertical_4_6)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['96','33']) ).

cnf('98',plain,
    ( $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_6)
    | $pr(vertical_4_2)
    | ~ $pr(horizontal_5_3) ),
    inference(resolution,[],['40','81']) ).

cnf('99',plain,
    ( ~ $pr(horizontal_5_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['98','83']) ).

cnf('100',plain,
    ( $pr(horizontal_5_3)
    | $pr(horizontal_5_4)
    | $pr(vertical_4_4)
    | ~ $pr(horizontal_5_5) ),
    inference(resolution,[],['87','35']) ).

cnf('101',plain,
    ( ~ $pr(horizontal_5_4)
    | ~ $pr(horizontal_5_5) ),
    inference(cnf_transformation,[],[unique_cover2_5_5]) ).

cnf('102',plain,
    ( ~ $pr(horizontal_5_5)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4) ),
    inference(simplify,[],['100','101']) ).

cnf('103',plain,
    ( $pr(horizontal_5_3)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['102','39']) ).

cnf('104',plain,
    ( $pr(horizontal_5_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['99','103']) ).

cnf('105',plain,
    ( ~ $pr(horizontal_5_3)
    | $pr(vertical_5_1)
    | $pr(vertical_4_6) ),
    inference(resolution,[],['45','81']) ).

cnf('106',plain,
    ( $pr(vertical_5_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['103','105']) ).

cnf('107',plain,
    ( ~ $pr(horizontal_5_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['106','30']) ).

cnf('108',plain,
    ( $pr(vertical_4_6)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['104','107']) ).

cnf('109',plain,
    ( $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['97','108']) ).

cnf('110',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['54','109']) ).

cnf('111',plain,
    ( $pr(horizontal_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['80','110']) ).

cnf('112',plain,
    ( $pr(vertical_3_2)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(cnf_transformation,[],[covered_3_2]) ).

cnf('113',plain,
    ( ~ $pr(vertical_3_2)
    | ~ $pr(vertical_4_2) ),
    inference(cnf_transformation,[],[unique_cover5_4_2]) ).

cnf('114',plain,
    ( ~ $pr(vertical_4_2)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[],['112','113']) ).

cnf('115',plain,
    ( $pr(horizontal_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[],['111','114']) ).

cnf('116',plain,
    ( ~ $pr(horizontal_4_2)
    | ~ $pr(vertical_3_2) ),
    inference(cnf_transformation,[],[unique_cover3_4_2]) ).

cnf('117',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | ~ $pr(vertical_3_2) ),
    inference(resolution,[],['115','116']) ).

cnf('118',plain,
    ( ~ $pr(vertical_3_2)
    | ~ $pr(vertical_2_2) ),
    inference(cnf_transformation,[],[unique_cover5_3_2]) ).

cnf('119',plain,
    ( ~ $pr(vertical_3_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(simplify,[],['117','118']) ).

cnf('120',plain,
    ( ~ $pr(vertical_3_2)
    | ~ $pr(horizontal_3_1) ),
    inference(cnf_transformation,[],[unique_cover4_3_2]) ).

cnf('121',plain,
    ( ~ $pr(vertical_3_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(horizontal_3_2) ),
    inference(simplify,[],['119','120']) ).

cnf('122',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[],['121','112']) ).

cnf('123',plain,
    ( ~ $pr(vertical_3_5)
    | ~ $pr(vertical_2_5) ),
    inference(cnf_transformation,[],[unique_cover5_3_5]) ).

cnf('124',plain,
    ( ~ $pr(vertical_2_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[],['122','123']) ).

cnf('125',plain,
    ( $pr(vertical_2_5)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(cnf_transformation,[],[covered_2_5]) ).

cnf('126',plain,
    ( $pr(vertical_3_4)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(cnf_transformation,[],[covered_3_4]) ).

cnf('127',plain,
    ( ~ $pr(vertical_3_4)
    | ~ $pr(vertical_4_4) ),
    inference(cnf_transformation,[],[unique_cover5_4_4]) ).

cnf('128',plain,
    ( ~ $pr(vertical_4_4)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['126','127']) ).

cnf('129',plain,
    ( $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_2_4)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['109','128']) ).

cnf('130',plain,
    ( ~ $pr(horizontal_4_4)
    | ~ $pr(vertical_3_4) ),
    inference(cnf_transformation,[],[unique_cover3_4_4]) ).

cnf('131',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_2_4)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | ~ $pr(vertical_3_4) ),
    inference(resolution,[],['129','130']) ).

cnf('132',plain,
    ( ~ $pr(vertical_3_4)
    | ~ $pr(vertical_2_4) ),
    inference(cnf_transformation,[],[unique_cover5_3_4]) ).

cnf('133',plain,
    ( ~ $pr(vertical_3_4)
    | $pr(vertical_3_5)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(simplify,[],['131','132']) ).

cnf('134',plain,
    ( ~ $pr(vertical_3_4)
    | ~ $pr(horizontal_3_3) ),
    inference(cnf_transformation,[],[unique_cover4_3_4]) ).

cnf('135',plain,
    ( ~ $pr(vertical_3_4)
    | $pr(vertical_3_5)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_4) ),
    inference(simplify,[],['133','134']) ).

cnf('136',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_2_4)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['135','126']) ).

cnf('137',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['136','114']) ).

cnf('138',plain,
    ( ~ $pr(vertical_3_5)
    | ~ $pr(horizontal_3_5) ),
    inference(cnf_transformation,[],[unique_cover1_3_5]) ).

cnf('139',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | ~ $pr(horizontal_3_5) ),
    inference(resolution,[],['137','138']) ).

cnf('140',plain,
    ( ~ $pr(horizontal_3_4)
    | ~ $pr(horizontal_3_5) ),
    inference(cnf_transformation,[],[unique_cover2_3_5]) ).

cnf('141',plain,
    ( ~ $pr(horizontal_3_5)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_3) ),
    inference(simplify,[],['139','140']) ).

cnf('142',plain,
    ( $pr(vertical_3_6)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(cnf_transformation,[],[covered_3_6]) ).

cnf('143',plain,
    ( ~ $pr(vertical_3_6)
    | ~ $pr(vertical_4_6) ),
    inference(cnf_transformation,[],[unique_cover5_4_6]) ).

cnf('144',plain,
    ( ~ $pr(vertical_4_6)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['142','143']) ).

cnf('145',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['49','144']) ).

cnf('146',plain,
    ( ~ $pr(horizontal_4_3)
    | ~ $pr(vertical_4_4) ),
    inference(cnf_transformation,[],[unique_cover4_4_4]) ).

cnf('147',plain,
    ( ~ $pr(vertical_4_4)
    | $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['145','146']) ).

cnf('148',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['108','144']) ).

cnf('149',plain,
    ( $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['147','148']) ).

cnf('150',plain,
    ( $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['149','114']) ).

cnf('151',plain,
    ( $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_5)
    | ~ $pr(vertical_3_2) ),
    inference(resolution,[],['150','116']) ).

cnf('152',plain,
    ( ~ $pr(vertical_3_2)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_5) ),
    inference(simplify,[],['151','118']) ).

cnf('153',plain,
    ( ~ $pr(vertical_3_2)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_5) ),
    inference(simplify,[],['152','120']) ).

cnf('154',plain,
    ( $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['153','112']) ).

cnf('155',plain,
    ( $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_3) ),
    inference(resolution,[],['141','154']) ).

cnf('156',plain,
    ( ~ $pr(vertical_3_3)
    | ~ $pr(vertical_2_3) ),
    inference(cnf_transformation,[],[unique_cover5_3_3]) ).

cnf('157',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_3)
    | ~ $pr(vertical_2_3) ),
    inference(resolution,[],['155','156']) ).

cnf('158',plain,
    ( ~ $pr(vertical_2_3)
    | ~ $pr(horizontal_3_2) ),
    inference(cnf_transformation,[],[unique_cover6_3_3]) ).

cnf('159',plain,
    ( ~ $pr(vertical_2_3)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_3) ),
    inference(simplify,[],['157','158']) ).

cnf('160',plain,
    ( ~ $pr(vertical_2_3)
    | ~ $pr(horizontal_3_3) ),
    inference(cnf_transformation,[],[unique_cover3_3_3]) ).

cnf('161',plain,
    ( ~ $pr(vertical_2_3)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1) ),
    inference(simplify,[],['159','160']) ).

cnf('162',plain,
    ( $pr(vertical_2_3)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(vertical_1_3) ),
    inference(cnf_transformation,[],[covered_2_3]) ).

cnf('163',plain,
    ( ~ $pr(vertical_5_2)
    | ~ $pr(horizontal_6_1) ),
    inference(cnf_transformation,[],[unique_cover6_6_2]) ).

cnf('164',plain,
    ( ~ $pr(horizontal_6_1)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['1','163']) ).

cnf('165',plain,
    ( $pr(vertical_5_1)
    | $pr(horizontal_5_1)
    | $pr(horizontal_5_2)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['164','23']) ).

cnf('166',plain,
    ( ~ $pr(horizontal_5_2)
    | ~ $pr(vertical_4_3) ),
    inference(cnf_transformation,[],[unique_cover6_5_3]) ).

cnf('167',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(vertical_5_1)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['165','166']) ).

cnf('168',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_5_1)
    | $pr(vertical_3_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['167','20']) ).

cnf('169',plain,
    ( ~ $pr(vertical_5_1)
    | ~ $pr(vertical_4_1) ),
    inference(cnf_transformation,[],[unique_cover5_5_1]) ).

cnf('170',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_2)
    | ~ $pr(vertical_4_1) ),
    inference(resolution,[],['168','169']) ).

cnf('171',plain,
    ( ~ $pr(horizontal_5_1)
    | ~ $pr(vertical_4_1) ),
    inference(cnf_transformation,[],[unique_cover3_5_1]) ).

cnf('172',plain,
    ( ~ $pr(vertical_4_1)
    | $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['170','171']) ).

cnf('173',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_1)
    | $pr(vertical_4_1) ),
    inference(cnf_transformation,[],[covered_4_1]) ).

cnf('174',plain,
    ( $pr(horizontal_4_1)
    | $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['172','173']) ).

cnf('175',plain,
    ( ~ $pr(vertical_4_4)
    | $pr(horizontal_4_1)
    | $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['174','146']) ).

cnf('176',plain,
    ( ~ $pr(vertical_5_3)
    | ~ $pr(horizontal_5_2) ),
    inference(cnf_transformation,[],[unique_cover4_5_3]) ).

cnf('177',plain,
    ( $pr(vertical_5_1)
    | $pr(horizontal_5_3)
    | $pr(vertical_4_4)
    | ~ $pr(horizontal_5_2) ),
    inference(resolution,[],['70','176']) ).

cnf('178',plain,
    ( ~ $pr(horizontal_5_2)
    | $pr(vertical_5_1)
    | $pr(vertical_4_4) ),
    inference(simplify,[],['177','83']) ).

cnf('179',plain,
    ( $pr(vertical_5_1)
    | $pr(horizontal_5_1)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['178','165']) ).

cnf('180',plain,
    ( $pr(horizontal_5_1)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2)
    | ~ $pr(vertical_4_1) ),
    inference(resolution,[],['179','169']) ).

cnf('181',plain,
    ( ~ $pr(vertical_4_1)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(simplify,[],['180','171']) ).

cnf('182',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_1)
    | $pr(vertical_4_4)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['181','173']) ).

cnf('183',plain,
    ( $pr(horizontal_4_1)
    | $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_4_2) ),
    inference(resolution,[],['175','182']) ).

cnf('184',plain,
    ( $pr(horizontal_4_1)
    | $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[],['183','114']) ).

cnf('185',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | ~ $pr(vertical_3_2) ),
    inference(resolution,[],['184','116']) ).

cnf('186',plain,
    ( ~ $pr(horizontal_4_1)
    | ~ $pr(vertical_3_2) ),
    inference(cnf_transformation,[],[unique_cover6_4_2]) ).

cnf('187',plain,
    ( ~ $pr(vertical_3_2)
    | $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(simplify,[],['185','186']) ).

cnf('188',plain,
    ( ~ $pr(vertical_3_2)
    | $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(simplify,[],['187','118']) ).

cnf('189',plain,
    ( $pr(vertical_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[],['188','112']) ).

cnf('190',plain,
    ( ~ $pr(vertical_3_3)
    | ~ $pr(horizontal_3_3) ),
    inference(cnf_transformation,[],[unique_cover1_3_3]) ).

cnf('191',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | ~ $pr(horizontal_3_3) ),
    inference(resolution,[],['189','190']) ).

cnf('192',plain,
    ( ~ $pr(horizontal_3_2)
    | ~ $pr(horizontal_3_3) ),
    inference(cnf_transformation,[],[unique_cover2_3_3]) ).

cnf('193',plain,
    ( ~ $pr(horizontal_3_3)
    | $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1) ),
    inference(simplify,[],['191','192']) ).

cnf('194',plain,
    ( ~ $pr(vertical_4_1)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['94','169']) ).

cnf('195',plain,
    ( $pr(horizontal_4_1)
    | $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['194','173']) ).

cnf('196',plain,
    ( ~ $pr(vertical_4_6)
    | $pr(horizontal_4_1)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['195','33']) ).

cnf('197',plain,
    ( ~ $pr(vertical_4_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['106','169']) ).

cnf('198',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_1)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['197','173']) ).

cnf('199',plain,
    ( $pr(horizontal_4_1)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['196','198']) ).

cnf('200',plain,
    ( $pr(horizontal_4_1)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['199','128']) ).

cnf('201',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | ~ $pr(vertical_3_4) ),
    inference(resolution,[],['200','130']) ).

cnf('202',plain,
    ( ~ $pr(vertical_3_4)
    | $pr(horizontal_4_1)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(simplify,[],['201','132']) ).

cnf('203',plain,
    ( ~ $pr(vertical_3_4)
    | $pr(horizontal_4_1)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(horizontal_3_4) ),
    inference(simplify,[],['202','134']) ).

cnf('204',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['203','126']) ).

cnf('205',plain,
    ( ~ $pr(horizontal_4_1)
    | ~ $pr(vertical_4_2) ),
    inference(cnf_transformation,[],[unique_cover4_4_2]) ).

cnf('206',plain,
    ( ~ $pr(vertical_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['204','205']) ).

cnf('207',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['206','136']) ).

cnf('208',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | ~ $pr(vertical_2_5) ),
    inference(resolution,[],['207','123']) ).

cnf('209',plain,
    ( ~ $pr(vertical_2_5)
    | ~ $pr(horizontal_3_4) ),
    inference(cnf_transformation,[],[unique_cover6_3_5]) ).

cnf('210',plain,
    ( ~ $pr(vertical_2_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3) ),
    inference(simplify,[],['208','209']) ).

cnf('211',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5)
    | $pr(horizontal_3_3) ),
    inference(resolution,[],['210','125']) ).

cnf('212',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5)
    | $pr(horizontal_3_1) ),
    inference(resolution,[],['193','211']) ).

cnf('213',plain,
    ( ~ $pr(vertical_3_1)
    | ~ $pr(vertical_2_1) ),
    inference(cnf_transformation,[],[unique_cover5_3_1]) ).

cnf('214',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5)
    | $pr(horizontal_3_1)
    | ~ $pr(vertical_2_1) ),
    inference(resolution,[],['212','213']) ).

cnf('215',plain,
    ( ~ $pr(vertical_2_1)
    | ~ $pr(horizontal_3_1) ),
    inference(cnf_transformation,[],[unique_cover3_3_1]) ).

cnf('216',plain,
    ( ~ $pr(vertical_2_1)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['214','215']) ).

cnf('217',plain,
    ( $pr(vertical_2_1)
    | $pr(horizontal_2_1)
    | $pr(vertical_1_1) ),
    inference(cnf_transformation,[],[covered_2_1]) ).

cnf('218',plain,
    ~ $pr(vertical_1_1),
    inference(cnf_transformation,[],[uncovered2_1_1]) ).

cnf('219',plain,
    ( $pr(vertical_2_1)
    | $pr(horizontal_2_1) ),
    inference(simplify,[],['217','218']) ).

cnf('220',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['216','219']) ).

cnf('221',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_4_4)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['198','144']) ).

cnf('222',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['221','128']) ).

cnf('223',plain,
    ( ~ $pr(vertical_4_2)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['222','205']) ).

cnf('224',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['148','128']) ).

cnf('225',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['223','224']) ).

cnf('226',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4)
    | ~ $pr(horizontal_3_5) ),
    inference(resolution,[],['207','138']) ).

cnf('227',plain,
    ( ~ $pr(horizontal_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3) ),
    inference(simplify,[],['226','140']) ).

cnf('228',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3)
    | $pr(horizontal_3_4) ),
    inference(resolution,[],['225','227']) ).

cnf('229',plain,
    ( ~ $pr(horizontal_5_5)
    | ~ $pr(vertical_4_5) ),
    inference(cnf_transformation,[],[unique_cover3_5_5]) ).

cnf('230',plain,
    ( ~ $pr(vertical_4_5)
    | $pr(vertical_4_6) ),
    inference(resolution,[],['39','229']) ).

cnf('231',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_4_6) ),
    inference(resolution,[],['230','14']) ).

cnf('232',plain,
    ( $pr(horizontal_4_4)
    | $pr(horizontal_4_5)
    | $pr(vertical_3_5)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['231','144']) ).

cnf('233',plain,
    ( ~ $pr(horizontal_4_5)
    | ~ $pr(vertical_3_6) ),
    inference(cnf_transformation,[],[unique_cover6_4_6]) ).

cnf('234',plain,
    ( $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5)
    | ~ $pr(vertical_3_6) ),
    inference(resolution,[],['232','233']) ).

cnf('235',plain,
    ( ~ $pr(vertical_3_6)
    | ~ $pr(vertical_2_6) ),
    inference(cnf_transformation,[],[unique_cover5_3_6]) ).

cnf('236',plain,
    ( ~ $pr(vertical_3_6)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(horizontal_3_5) ),
    inference(simplify,[],['234','235']) ).

cnf('237',plain,
    ( ~ $pr(vertical_3_6)
    | ~ $pr(horizontal_3_5) ),
    inference(cnf_transformation,[],[unique_cover4_3_6]) ).

cnf('238',plain,
    ( ~ $pr(vertical_3_6)
    | $pr(horizontal_4_4)
    | $pr(vertical_3_5) ),
    inference(simplify,[],['236','237']) ).

cnf('239',plain,
    ( $pr(horizontal_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['238','142']) ).

cnf('240',plain,
    ( ~ $pr(vertical_4_4)
    | $pr(vertical_3_5)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['239','51']) ).

cnf('241',plain,
    ( $pr(horizontal_4_1)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['221','240']) ).

cnf('242',plain,
    ( ~ $pr(vertical_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['241','205']) ).

cnf('243',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_2_6)
    | $pr(vertical_4_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['148','240']) ).

cnf('244',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['242','243']) ).

cnf('245',plain,
    ( ~ $pr(vertical_3_5)
    | ~ $pr(horizontal_3_4) ),
    inference(cnf_transformation,[],[unique_cover4_3_5]) ).

cnf('246',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5)
    | ~ $pr(horizontal_3_4) ),
    inference(resolution,[],['244','245']) ).

cnf('247',plain,
    ( ~ $pr(horizontal_3_4)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6) ),
    inference(simplify,[],['246','140']) ).

cnf('248',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_3_3) ),
    inference(resolution,[],['228','247']) ).

cnf('249',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1) ),
    inference(resolution,[],['248','193']) ).

cnf('250',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | ~ $pr(vertical_2_1) ),
    inference(resolution,[],['249','213']) ).

cnf('251',plain,
    ( ~ $pr(vertical_2_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2) ),
    inference(simplify,[],['250','215']) ).

cnf('252',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1) ),
    inference(resolution,[],['251','219']) ).

cnf('253',plain,
    ( ~ $pr(vertical_2_6)
    | ~ $pr(horizontal_2_5) ),
    inference(cnf_transformation,[],[unique_cover4_2_6]) ).

cnf('254',plain,
    ( ~ $pr(horizontal_2_5)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1) ),
    inference(resolution,[],['252','253']) ).

cnf('255',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['220','254']) ).

cnf('256',plain,
    ( ~ $pr(vertical_2_4)
    | ~ $pr(vertical_1_4) ),
    inference(cnf_transformation,[],[unique_cover5_2_4]) ).

cnf('257',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(vertical_1_5)
    | ~ $pr(vertical_1_4) ),
    inference(resolution,[],['255','256']) ).

cnf('258',plain,
    ( ~ $pr(horizontal_2_4)
    | ~ $pr(vertical_1_4) ),
    inference(cnf_transformation,[],[unique_cover3_2_4]) ).

cnf('259',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['257','258']) ).

cnf('260',plain,
    ( $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(vertical_1_4) ),
    inference(cnf_transformation,[],[covered_1_4]) ).

cnf('261',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['259','260']) ).

cnf('262',plain,
    ( ~ $pr(vertical_2_2)
    | ~ $pr(vertical_1_2) ),
    inference(cnf_transformation,[],[unique_cover5_2_2]) ).

cnf('263',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(vertical_1_5)
    | ~ $pr(vertical_1_2) ),
    inference(resolution,[],['261','262']) ).

cnf('264',plain,
    ( ~ $pr(horizontal_2_1)
    | ~ $pr(vertical_1_2) ),
    inference(cnf_transformation,[],[unique_cover6_2_2]) ).

cnf('265',plain,
    ( ~ $pr(vertical_1_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['263','264']) ).

cnf('266',plain,
    ( $pr(horizontal_1_1)
    | $pr(horizontal_1_2)
    | $pr(vertical_1_2) ),
    inference(cnf_transformation,[],[covered_1_2]) ).

cnf('267',plain,
    ~ $pr(horizontal_1_1),
    inference(cnf_transformation,[],[uncovered1_1_1]) ).

cnf('268',plain,
    ( $pr(horizontal_1_2)
    | $pr(vertical_1_2) ),
    inference(simplify,[],['266','267']) ).

cnf('269',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['265','268']) ).

cnf('270',plain,
    ( ~ $pr(vertical_2_6)
    | ~ $pr(vertical_1_6) ),
    inference(cnf_transformation,[],[unique_cover5_2_6]) ).

cnf('271',plain,
    ( ~ $pr(vertical_1_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1) ),
    inference(resolution,[],['252','270']) ).

cnf('272',plain,
    ( $pr(horizontal_1_5)
    | $pr(vertical_1_6) ),
    inference(cnf_transformation,[],[covered_1_6]) ).

cnf('273',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['271','272']) ).

cnf('274',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['273','256']) ).

cnf('275',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['274','260']) ).

cnf('276',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5)
    | ~ $pr(vertical_1_2) ),
    inference(resolution,[],['275','262']) ).

cnf('277',plain,
    ( ~ $pr(vertical_1_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['276','264']) ).

cnf('278',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['277','268']) ).

cnf('279',plain,
    ( ~ $pr(horizontal_1_5)
    | ~ $pr(vertical_1_5) ),
    inference(cnf_transformation,[],[unique_cover1_1_5]) ).

cnf('280',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | ~ $pr(vertical_1_5) ),
    inference(resolution,[],['278','279']) ).

cnf('281',plain,
    ( ~ $pr(horizontal_1_4)
    | ~ $pr(vertical_1_5) ),
    inference(cnf_transformation,[],[unique_cover4_1_5]) ).

cnf('282',plain,
    ( ~ $pr(vertical_1_5)
    | $pr(horizontal_1_2)
    | $pr(horizontal_1_3) ),
    inference(simplify,[],['280','281']) ).

cnf('283',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4) ),
    inference(resolution,[],['269','282']) ).

cnf('284',plain,
    ( ~ $pr(horizontal_1_4)
    | ~ $pr(horizontal_1_5) ),
    inference(cnf_transformation,[],[unique_cover2_1_5]) ).

cnf('285',plain,
    ( ~ $pr(horizontal_1_5)
    | $pr(horizontal_1_2)
    | $pr(horizontal_1_3) ),
    inference(resolution,[],['283','284']) ).

cnf('286',plain,
    ( ~ $pr(vertical_2_4)
    | ~ $pr(horizontal_2_4) ),
    inference(cnf_transformation,[],[unique_cover1_2_4]) ).

cnf('287',plain,
    ( ~ $pr(horizontal_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['273','286']) ).

cnf('288',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['243','114']) ).

cnf('289',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | $pr(horizontal_3_5)
    | ~ $pr(vertical_2_5) ),
    inference(resolution,[],['288','123']) ).

cnf('290',plain,
    ( ~ $pr(vertical_2_5)
    | ~ $pr(horizontal_3_5) ),
    inference(cnf_transformation,[],[unique_cover3_3_5]) ).

cnf('291',plain,
    ( ~ $pr(vertical_2_5)
    | $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(simplify,[],['289','290']) ).

cnf('292',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[],['291','125']) ).

cnf('293',plain,
    ( ~ $pr(horizontal_5_3)
    | ~ $pr(vertical_4_3) ),
    inference(cnf_transformation,[],[unique_cover3_5_3]) ).

cnf('294',plain,
    ( ~ $pr(vertical_4_3)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['103','293']) ).

cnf('295',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_4_6)
    | $pr(vertical_4_4) ),
    inference(resolution,[],['294','20']) ).

cnf('296',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(vertical_4_4)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['295','144']) ).

cnf('297',plain,
    ( $pr(horizontal_4_2)
    | $pr(horizontal_4_3)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['296','240']) ).

cnf('298',plain,
    ( $pr(horizontal_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5)
    | ~ $pr(horizontal_4_4) ),
    inference(resolution,[],['297','77']) ).

cnf('299',plain,
    ( ~ $pr(horizontal_4_4)
    | $pr(horizontal_4_2)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(simplify,[],['298','79']) ).

cnf('300',plain,
    ( $pr(horizontal_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['299','239']) ).

cnf('301',plain,
    ( ~ $pr(horizontal_4_2)
    | ~ $pr(vertical_4_2) ),
    inference(cnf_transformation,[],[unique_cover1_4_2]) ).

cnf('302',plain,
    ( ~ $pr(vertical_4_2)
    | $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['300','301']) ).

cnf('303',plain,
    ( $pr(vertical_3_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5) ),
    inference(resolution,[],['302','243']) ).

cnf('304',plain,
    ( $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5)
    | ~ $pr(vertical_2_5) ),
    inference(resolution,[],['303','123']) ).

cnf('305',plain,
    ( ~ $pr(vertical_2_5)
    | $pr(vertical_3_3)
    | $pr(vertical_2_6) ),
    inference(simplify,[],['304','290']) ).

cnf('306',plain,
    ( $pr(vertical_3_3)
    | $pr(vertical_2_6)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['305','125']) ).

cnf('307',plain,
    ( ~ $pr(vertical_3_3)
    | ~ $pr(horizontal_3_2) ),
    inference(cnf_transformation,[],[unique_cover4_3_3]) ).

cnf('308',plain,
    ( ~ $pr(horizontal_3_2)
    | $pr(vertical_2_6)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['306','307']) ).

cnf('309',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5)
    | $pr(horizontal_3_1) ),
    inference(resolution,[],['292','308']) ).

cnf('310',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_3_5)
    | ~ $pr(vertical_2_5) ),
    inference(resolution,[],['244','123']) ).

cnf('311',plain,
    ( ~ $pr(vertical_2_5)
    | $pr(vertical_3_1)
    | $pr(vertical_2_6) ),
    inference(simplify,[],['310','290']) ).

cnf('312',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['311','125']) ).

cnf('313',plain,
    ( ~ $pr(vertical_3_1)
    | ~ $pr(horizontal_3_1) ),
    inference(cnf_transformation,[],[unique_cover1_3_1]) ).

cnf('314',plain,
    ( ~ $pr(horizontal_3_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['312','313']) ).

cnf('315',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['309','314']) ).

cnf('316',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5)
    | ~ $pr(vertical_1_6) ),
    inference(resolution,[],['315','270']) ).

cnf('317',plain,
    ( ~ $pr(horizontal_2_5)
    | ~ $pr(vertical_1_6) ),
    inference(cnf_transformation,[],[unique_cover6_2_6]) ).

cnf('318',plain,
    ( ~ $pr(vertical_1_6)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['316','317']) ).

cnf('319',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['318','272']) ).

cnf('320',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['287','319']) ).

cnf('321',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5)
    | ~ $pr(vertical_1_2) ),
    inference(resolution,[],['320','262']) ).

cnf('322',plain,
    ( ~ $pr(vertical_1_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['321','264']) ).

cnf('323',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['322','268']) ).

cnf('324',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['282','323']) ).

cnf('325',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_3) ),
    inference(resolution,[],['285','324']) ).

cnf('326',plain,
    ( ~ $pr(horizontal_1_3)
    | ~ $pr(vertical_1_3) ),
    inference(cnf_transformation,[],[unique_cover1_1_3]) ).

cnf('327',plain,
    ( $pr(horizontal_1_2)
    | ~ $pr(vertical_1_3) ),
    inference(resolution,[],['325','326']) ).

cnf('328',plain,
    ( ~ $pr(horizontal_1_2)
    | ~ $pr(vertical_1_3) ),
    inference(cnf_transformation,[],[unique_cover4_1_3]) ).

cnf('329',plain,
    ~ $pr(vertical_1_3),
    inference(simplify,[],['327','328']) ).

cnf('330',plain,
    ( $pr(vertical_2_3)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(simplify,[],['162','329']) ).

cnf('331',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_3_1) ),
    inference(resolution,[],['161','330']) ).

cnf('332',plain,
    ( ~ $pr(vertical_2_3)
    | ~ $pr(horizontal_3_3) ),
    inference(cnf_transformation,[],[unique_cover3_3_3]) ).

cnf('333',plain,
    ( ~ $pr(horizontal_3_3)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['330','332']) ).

cnf('334',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['333','248']) ).

cnf('335',plain,
    ( ~ $pr(horizontal_3_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['334','313']) ).

cnf('336',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['331','335']) ).

cnf('337',plain,
    ( ~ $pr(vertical_1_6)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['336','270']) ).

cnf('338',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['337','272']) ).

cnf('339',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_1_5)
    | ~ $pr(vertical_1_4) ),
    inference(resolution,[],['338','256']) ).

cnf('340',plain,
    ( ~ $pr(horizontal_2_3)
    | ~ $pr(vertical_1_4) ),
    inference(cnf_transformation,[],[unique_cover6_2_4]) ).

cnf('341',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['339','340']) ).

cnf('342',plain,
    ~ $pr(vertical_1_3),
    inference(simplify,[],['327','328']) ).

cnf('343',plain,
    ( ~ $pr(vertical_2_4)
    | ~ $pr(horizontal_2_3) ),
    inference(cnf_transformation,[],[unique_cover4_2_4]) ).

cnf('344',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(vertical_1_5)
    | ~ $pr(horizontal_2_3) ),
    inference(resolution,[],['255','343']) ).

cnf('345',plain,
    ( ~ $pr(horizontal_2_3)
    | ~ $pr(horizontal_2_4) ),
    inference(cnf_transformation,[],[unique_cover2_2_4]) ).

cnf('346',plain,
    ( ~ $pr(horizontal_2_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['344','345']) ).

cnf('347',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | ~ $pr(vertical_2_3) ),
    inference(resolution,[],['189','156']) ).

cnf('348',plain,
    ( ~ $pr(vertical_2_3)
    | $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_3_1) ),
    inference(simplify,[],['347','158']) ).

cnf('349',plain,
    ( $pr(vertical_2_3)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(vertical_1_3) ),
    inference(cnf_transformation,[],[covered_2_3]) ).

cnf('350',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(vertical_1_3)
    | $pr(horizontal_3_1) ),
    inference(resolution,[],['348','349']) ).

cnf('351',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(vertical_1_3)
    | $pr(horizontal_3_1)
    | ~ $pr(vertical_2_1) ),
    inference(resolution,[],['350','213']) ).

cnf('352',plain,
    ( ~ $pr(vertical_2_1)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(vertical_1_3) ),
    inference(simplify,[],['351','215']) ).

cnf('353',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(vertical_1_3) ),
    inference(resolution,[],['352','219']) ).

cnf('354',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(vertical_1_5)
    | $pr(vertical_1_3) ),
    inference(resolution,[],['346','353']) ).

cnf('355',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(vertical_1_5)
    | $pr(vertical_1_3)
    | ~ $pr(vertical_1_2) ),
    inference(resolution,[],['354','262']) ).

cnf('356',plain,
    ( ~ $pr(vertical_1_2)
    | $pr(horizontal_2_2)
    | $pr(vertical_1_5)
    | $pr(vertical_1_3) ),
    inference(simplify,[],['355','264']) ).

cnf('357',plain,
    ( ~ $pr(horizontal_2_2)
    | ~ $pr(vertical_1_2) ),
    inference(cnf_transformation,[],[unique_cover3_2_2]) ).

cnf('358',plain,
    ( ~ $pr(vertical_1_2)
    | $pr(vertical_1_5)
    | $pr(vertical_1_3) ),
    inference(simplify,[],['356','357']) ).

cnf('359',plain,
    ( $pr(horizontal_1_2)
    | $pr(vertical_1_5)
    | $pr(vertical_1_3) ),
    inference(resolution,[],['358','268']) ).

cnf('360',plain,
    ( ~ $pr(horizontal_2_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['273','343']) ).

cnf('361',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_3) ),
    inference(resolution,[],['360','353']) ).

cnf('362',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_3)
    | ~ $pr(vertical_1_2) ),
    inference(resolution,[],['361','262']) ).

cnf('363',plain,
    ( ~ $pr(vertical_1_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_3) ),
    inference(simplify,[],['362','264']) ).

cnf('364',plain,
    ( ~ $pr(vertical_1_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_3) ),
    inference(simplify,[],['363','357']) ).

cnf('365',plain,
    ( $pr(horizontal_1_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_3) ),
    inference(resolution,[],['364','268']) ).

cnf('366',plain,
    ( ~ $pr(vertical_1_5)
    | $pr(horizontal_1_2)
    | $pr(vertical_1_3) ),
    inference(resolution,[],['365','279']) ).

cnf('367',plain,
    ( $pr(horizontal_1_2)
    | $pr(vertical_1_3) ),
    inference(resolution,[],['359','366']) ).

cnf('368',plain,
    $pr(horizontal_1_2),
    inference(resolution,[],['342','367']) ).

cnf('369',plain,
    ( ~ $pr(horizontal_1_2)
    | ~ $pr(horizontal_1_3) ),
    inference(cnf_transformation,[],[unique_cover2_1_3]) ).

cnf('370',plain,
    ~ $pr(horizontal_1_3),
    inference(resolution,[],['368','369']) ).

cnf('371',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(resolution,[then_simplify],['341','260','370']) ).

cnf('372',plain,
    ( ~ $pr(vertical_2_2)
    | ~ $pr(horizontal_2_1) ),
    inference(cnf_transformation,[],[unique_cover4_2_2]) ).

cnf('373',plain,
    ( $pr(horizontal_2_2)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5)
    | ~ $pr(horizontal_2_1) ),
    inference(resolution,[],['371','372']) ).

cnf('374',plain,
    ( ~ $pr(horizontal_2_1)
    | ~ $pr(horizontal_2_2) ),
    inference(cnf_transformation,[],[unique_cover2_2_2]) ).

cnf('375',plain,
    ( ~ $pr(horizontal_2_1)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['373','374']) ).

cnf('376',plain,
    ( ~ $pr(vertical_2_1)
    | $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['334','213']) ).

cnf('377',plain,
    ( $pr(vertical_2_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['376','219']) ).

cnf('378',plain,
    ( ~ $pr(vertical_1_6)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['377','270']) ).

cnf('379',plain,
    ( $pr(vertical_2_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['378','272']) ).

cnf('380',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_1_5)
    | ~ $pr(vertical_1_4) ),
    inference(resolution,[],['379','256']) ).

cnf('381',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['380','340']) ).

cnf('382',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(resolution,[then_simplify],['381','260','370']) ).

cnf('383',plain,
    ( ~ $pr(vertical_2_2)
    | ~ $pr(horizontal_2_2) ),
    inference(cnf_transformation,[],[unique_cover1_2_2]) ).

cnf('384',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5)
    | ~ $pr(horizontal_2_2) ),
    inference(resolution,[],['275','383']) ).

cnf('385',plain,
    ( ~ $pr(horizontal_2_2)
    | $pr(horizontal_1_3)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['384','374']) ).

cnf('386',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(resolution,[then_simplify],['382','385','370']) ).

cnf('387',plain,
    ( $pr(horizontal_1_4)
    | $pr(horizontal_1_5) ),
    inference(resolution,[],['375','386']) ).

cnf('388',plain,
    ( $pr(horizontal_1_4)
    | ~ $pr(vertical_1_5) ),
    inference(resolution,[],['387','279']) ).

cnf('389',plain,
    ~ $pr(vertical_1_5),
    inference(simplify,[],['388','281']) ).

cnf('390',plain,
    ( $pr(vertical_3_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2) ),
    inference(resolution,[then_simplify],['124','125','389']) ).

cnf('391',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(horizontal_3_1)
    | $pr(horizontal_3_2)
    | ~ $pr(vertical_2_3) ),
    inference(resolution,[],['390','156']) ).

cnf('392',plain,
    ( ~ $pr(vertical_2_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(horizontal_3_1) ),
    inference(simplify,[],['391','158']) ).

cnf('393',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(horizontal_3_1) ),
    inference(resolution,[],['392','330']) ).

cnf('394',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['333','211']) ).

cnf('395',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(simplify,[],['394','389']) ).

cnf('396',plain,
    ( ~ $pr(horizontal_3_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(resolution,[],['395','313']) ).

cnf('397',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(resolution,[],['393','396']) ).

cnf('398',plain,
    ( ~ $pr(horizontal_2_5)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['336','253']) ).

cnf('399',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4) ),
    inference(resolution,[],['397','398']) ).

cnf('400',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | ~ $pr(vertical_1_4) ),
    inference(resolution,[],['399','256']) ).

cnf('401',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_4) ),
    inference(simplify,[],['400','340']) ).

cnf('402',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2) ),
    inference(simplify,[],['401','258']) ).

cnf('403',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_4) ),
    inference(resolution,[then_simplify],['402','260','370']) ).

cnf('404',plain,
    ( ~ $pr(vertical_2_4)
    | ~ $pr(horizontal_3_3) ),
    inference(cnf_transformation,[],[unique_cover6_3_4]) ).

cnf('405',plain,
    ( ~ $pr(horizontal_3_3)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['255','404']) ).

cnf('406',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['405','211']) ).

cnf('407',plain,
    ( $pr(vertical_3_1)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(simplify,[],['406','389']) ).

cnf('408',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | ~ $pr(vertical_2_1) ),
    inference(resolution,[],['407','213']) ).

cnf('409',plain,
    ( ~ $pr(vertical_2_1)
    | ~ $pr(horizontal_2_1) ),
    inference(cnf_transformation,[],[unique_cover1_2_1]) ).

cnf('410',plain,
    ( ~ $pr(vertical_2_1)
    | $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(simplify,[],['408','409']) ).

cnf('411',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(resolution,[],['410','219']) ).

cnf('412',plain,
    ( $pr(vertical_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4) ),
    inference(resolution,[],['411','254']) ).

cnf('413',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | ~ $pr(vertical_1_4) ),
    inference(resolution,[],['412','256']) ).

cnf('414',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_1) ),
    inference(simplify,[],['413','258']) ).

cnf('415',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_1)
    | $pr(horizontal_1_4) ),
    inference(resolution,[then_simplify],['414','260','370']) ).

cnf('416',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_4)
    | ~ $pr(horizontal_2_2) ),
    inference(resolution,[],['415','383']) ).

cnf('417',plain,
    ( ~ $pr(horizontal_2_2)
    | $pr(horizontal_1_4) ),
    inference(simplify,[],['416','374']) ).

cnf('418',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_1_4) ),
    inference(simplify,[],['403','417']) ).

cnf('419',plain,
    ( $pr(horizontal_1_4)
    | ~ $pr(horizontal_2_1) ),
    inference(resolution,[],['418','372']) ).

cnf('420',plain,
    ( ~ $pr(vertical_2_1)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(resolution,[],['395','213']) ).

cnf('421',plain,
    ( $pr(vertical_2_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5) ),
    inference(resolution,[],['420','219']) ).

cnf('422',plain,
    ( ~ $pr(horizontal_2_5)
    | $pr(vertical_2_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3) ),
    inference(resolution,[],['377','253']) ).

cnf('423',plain,
    ( $pr(vertical_2_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4) ),
    inference(resolution,[],['421','422']) ).

cnf('424',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_2_4)
    | ~ $pr(vertical_1_4) ),
    inference(resolution,[],['423','256']) ).

cnf('425',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_4) ),
    inference(simplify,[],['424','340']) ).

cnf('426',plain,
    ( ~ $pr(vertical_1_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2) ),
    inference(simplify,[],['425','258']) ).

cnf('427',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_4) ),
    inference(resolution,[then_simplify],['426','260','370']) ).

cnf('428',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_4) ),
    inference(simplify,[],['427','417']) ).

cnf('429',plain,
    $pr(horizontal_1_4),
    inference(simplify,[],['419','428']) ).

cnf('430',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_1_5)
    | ~ $pr(horizontal_2_4) ),
    inference(resolution,[],['338','286']) ).

cnf('431',plain,
    ( ~ $pr(horizontal_2_4)
    | $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['430','345']) ).

cnf('432',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['431','319']) ).

cnf('433',plain,
    ( $pr(vertical_2_2)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['432','389']) ).

cnf('434',plain,
    ( $pr(horizontal_2_2)
    | $pr(horizontal_1_5)
    | ~ $pr(horizontal_2_1) ),
    inference(resolution,[],['433','372']) ).

cnf('435',plain,
    ( ~ $pr(horizontal_2_1)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['434','374']) ).

cnf('436',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_2_3)
    | $pr(horizontal_1_5)
    | ~ $pr(horizontal_2_4) ),
    inference(resolution,[],['379','286']) ).

cnf('437',plain,
    ( ~ $pr(horizontal_2_4)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5) ),
    inference(simplify,[],['436','345']) ).

cnf('438',plain,
    ( ~ $pr(vertical_2_1)
    | $pr(vertical_2_6)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['312','213']) ).

cnf('439',plain,
    ( $pr(vertical_2_6)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['438','219']) ).

cnf('440',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_2_5)
    | $pr(vertical_1_5)
    | ~ $pr(vertical_1_6) ),
    inference(resolution,[],['439','270']) ).

cnf('441',plain,
    ( ~ $pr(vertical_1_6)
    | $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['440','317']) ).

cnf('442',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_4)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['441','272']) ).

cnf('443',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_2_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['437','442']) ).

cnf('444',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5)
    | ~ $pr(horizontal_2_2) ),
    inference(resolution,[],['320','383']) ).

cnf('445',plain,
    ( ~ $pr(horizontal_2_2)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(simplify,[],['444','374']) ).

cnf('446',plain,
    ( $pr(horizontal_2_1)
    | $pr(horizontal_1_5)
    | $pr(vertical_1_5) ),
    inference(resolution,[],['443','445']) ).

cnf('447',plain,
    $pr(horizontal_1_5),
    inference(resolution,[then_simplify],['435','446','389']) ).

cnf('448',plain,
    $false,
    inference(resolution,[then_simplify],['429','284','447']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PUZ015-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 22:50:32 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.38  
% 0.12/0.38  input clause set summed statistics:
% 0.12/0.38  ----------------------------------
% 0.12/0.38  in_clause_count:                   184
% 0.12/0.38  in_rule_clause_count:              184
% 0.12/0.38  in_fact_clause_count:                0
% 0.12/0.38  in_answer_clause_count:              0
% 0.12/0.38  in_ground_clause_count:            184
% 0.12/0.38  in_unit_clause_count:                4
% 0.12/0.38  in_horn_clause_count:              150
% 0.12/0.38  in_pos_clause_count:                34
% 0.12/0.38  in_neg_clause_count:               150
% 0.12/0.38  in_poseq_clause_count:               0
% 0.12/0.38  in_negeq_clause_count:               0
% 0.12/0.38  in_unitposeq_clause_count:           0
% 0.12/0.38  in_chain_clause_count:               0
% 0.12/0.38  in_min_length:             1
% 0.12/0.38  in_max_length:             4
% 0.12/0.38  in_min_depth:              1
% 0.12/0.38  in_max_depth:              1
% 0.12/0.38  in_min_size:               2
% 0.12/0.38  in_max_size:               8
% 0.12/0.38  in_min_vars:               0
% 0.12/0.38  in_max_vars:               0
% 0.12/0.38  in_extaxiom_count:                 0
% 0.12/0.38  in_axiom_count:                    0
% 0.12/0.38  in_assumption_count:               0
% 0.12/0.38  in_goal_count:                   184
% 0.12/0.38  in_neg_goal_count:               150
% 0.12/0.38  in_pos_goal_count:                34
% 0.12/0.38  in_posunit_goal_count:             0
% 0.12/0.38  
% 0.12/0.38  auto guide:
% 0.12/0.38  -----------
% 0.12/0.38  {
% 0.12/0.38  "print":1,
% 0.12/0.38  "print_level": 15,
% 0.12/0.38  "max_size": 0,
% 0.12/0.38  "max_depth": 0,
% 0.12/0.38  "max_length": 0,
% 0.12/0.38  "max_dseconds": 0,
% 0.12/0.38  "equality":0,
% 0.12/0.38  "runs":[
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":2, "sine":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "sine":1, "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "sine":2, "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.12/0.38  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.12/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.12/0.38  
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.12/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.12/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.12/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.12/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.38  
% 0.12/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.12/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.12/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.12/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.12/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.12/0.38  {"max_dseconds":50, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.12/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":3},
% 0.12/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.39  
% 0.12/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.12/0.39  
% 0.12/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.12/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0} 
% 0.12/0.39  
% 0.12/0.39  ]}
% 0.12/0.39  
% 0.12/0.39  
% 0.12/0.39  **** run 1 fork 0 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.12/0.39  
% 0.12/0.39  **** run 2 fork 1 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.12/0.39  
% 0.12/0.39  **** run 3 fork 2 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.12/0.39  
% 0.12/0.39  **** run 4 fork 3 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"sine":5,"strategy":["unit"],"query_preference":0}
% 0.12/0.39  
% 0.12/0.39  **** run 5 fork 4 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.12/0.39  
% 0.12/0.39  **** run 6 fork 5 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.12/0.39  
% 0.12/0.39  **** run 8 fork 7 starts with strategy
% 0.12/0.39  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 7 fork 6 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.43  
% 0.19/0.43  fork 3: search finished without proof.
% 0.19/0.44  
% 0.19/0.44  fork 7: search finished without proof.
% 0.19/0.46  
% 0.19/0.46  **** run 12 fork 3 starts with strategy
% 0.19/0.46  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.19/0.47  
% 0.19/0.47  **** run 16 fork 7 starts with strategy
% 0.19/0.47  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 0.19/0.51  
% 0.19/0.51  fork 4: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  fork 5: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  fork 1: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  fork 2: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  fork 0: search finished without proof.
% 0.19/0.52  
% 0.19/0.52  fork 6: search finished without proof.
% 0.19/0.53  
% 0.19/0.53  **** run 14 fork 5 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.53  
% 0.19/0.53  **** run 13 fork 4 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 0.19/0.53  
% 0.19/0.53  **** run 9 fork 0 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.53  
% 0.19/0.53  **** run 11 fork 2 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  **** run 10 fork 1 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.54  
% 0.19/0.54  **** run 15 fork 6 starts with strategy
% 0.19/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.57  
% 0.19/0.57  fork 1: search finished without proof.
% 0.19/0.58  
% 0.19/0.58  fork 3: search finished without proof.
% 0.19/0.58  
% 0.19/0.58  fork 7: search finished without proof.
% 0.19/0.59  
% 0.19/0.59  **** run 18 fork 1 starts with strategy
% 0.19/0.59  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.19/0.60  
% 0.19/0.60  **** run 20 fork 3 starts with strategy
% 0.19/0.60  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.19/0.60  
% 0.19/0.60  **** run 24 fork 7 starts with strategy
% 0.19/0.60  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":1}
% 0.19/0.60  
% 0.19/0.60  
% 0.19/0.60  result: proof found
% 0.19/0.60  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.60  by run 13 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 0.19/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.60  
% 0.19/0.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.19/0.61  
% 0.19/0.61  run 13 fork 4 statistics:
% 0.19/0.61  ----------------------------------
% 0.19/0.61  this run seconds: 0.054344
% 0.19/0.61  total seconds: 0.218785
% 0.19/0.61  stat_given_used: 770
% 0.19/0.61  stat_given_used_at_endgame: 0
% 0.19/0.61  stat_given_candidates:   1750
% 0.19/0.61  stat_given_candidates_at_endgame: 0
% 0.19/0.61  stat_given_candidates_h: 0
% 0.19/0.61  stat_binres_derived_cl:   1994
% 0.19/0.61  stat_binres_derived_cl_h: 0
% 0.19/0.61  stat_factor_derived_cl: 0
% 0.19/0.61  stat_para_derived_cl: 0
% 0.19/0.61  stat_tautologies_discarded: 180
% 0.19/0.61  stat_forward_subsumed: 98
% 0.19/0.61  stat_derived_cut: 489
% 0.19/0.61  stat_derived_rewritten: 0
% 0.19/0.61  stat_weight_discarded_building: 0
% 0.19/0.61  stat_weight_discarded_cl: 12
% 0.19/0.61  stat_internlimit_discarded_cl: 0
% 0.19/0.61  stat_simplified:  395 simplified 0 derived 0 given
% 0.19/0.61  stat_kept_cl: 1703
% 0.19/0.61  stat_built_cl: 3650
% 0.19/0.61  stat_hyperres_partial_cl: 0
% 0.19/0.61  stat_made_rewriters: 0
% 0.19/0.61  stat_backward_subsumed: 0
% 0.19/0.61  stat_propagated_subsumed: 0
% 0.19/0.61  stat_clsubs_attempted:                      4649
% 0.19/0.61  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.61  stat_clsubs_rule_groundunit_found:             4
% 0.19/0.61  stat_clsubs_top_meta_attempted:             590827
% 0.19/0.61  stat_clsubs_top_meta_failed:                586178
% 0.19/0.61  stat_clsubs_top_meta_nonpref_attempted:              590827
% 0.19/0.61  stat_clsubs_top_meta_nonpref_succeeded:              206700
% 0.19/0.61  stat_clsubs_top_meta_pref_attempted:                 206700
% 0.19/0.61  stat_clsubs_top_meta_pref1_succeeded:                206324
% 0.19/0.61  stat_clsubs_top_meta_pref2_succeeded:                  4649
% 0.19/0.61  stat_clsubs_top_meta_pref3_succeeded:                  4649
% 0.19/0.61  stat_clsubs_top_meta_pref_succeeded:                   4649
% 0.19/0.61  stat_clsubs_meta_attempted:                18897
% 0.19/0.61  stat_clsubs_meta_failed:                   12481
% 0.19/0.61  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.61  stat_clsubs_unit_attempted:                    0
% 0.19/0.61  stat_clsubs_full_attempted:                 4649
% 0.19/0.61  stat_forwardsubs_attempted:                 1814
% 0.19/0.61  stat_lit_hash_added:                    371
% 0.19/0.61  stat_lit_hash_computed:               45984
% 0.19/0.61  stat_lit_hash_match_found:              290
% 0.19/0.61  stat_lit_hash_match_miss:             48007
% 0.19/0.61  stat_lit_hash_cut_ok:                   503
% 0.19/0.61  stat_lit_strong_cut_ok:                   0
% 0.19/0.61  stat_lit_hash_subsume_ok:                98
% 0.19/0.61  clqueue els 10000000 used 1
% 0.19/0.61  clactive els 10000000 used 771
% 0.19/0.61  clactivesubsume els 10000000 used 4549
% 0.19/0.61  queue_termbuf els 200000000 used 134182
% 0.19/0.61  hyper_termbuf els 100000000 used 1
% 0.19/0.61  active_termbuf els 100000000 used 28895
% 0.19/0.61  varstack els 5000 last used 1
% 0.19/0.61  given_termbuf els 10000000 last used 1
% 0.19/0.61  simplified_termbuf els 10000000 last used 1
% 0.19/0.61  derived_termbuf els 10000000 last used 21
% 0.19/0.61  wr_mallocs: 1850
% 0.19/0.61  wr_callocs: 21
% 0.19/0.61  wr_reallocs: 188
% 0.19/0.61  wr_frees: 4
% 0.19/0.61  wr_malloc_bytes: 4162654372
% 0.19/0.61  wr_calloc_bytes: 112065536
% 0.19/0.61  wr_realloc_bytes: 320784
% 0.19/0.61  wr_realloc_freebytes: 0
% 0.19/0.61  ----------------------------------
%------------------------------------------------------------------------------