TSTP Solution File: SYO677-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% 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 : Fri Sep  1 04:37:37 EDT 2023

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause_121)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
    | ~ 'E'(s(s(s('0'))),f(suc(suc(Y))))
    | ~ 'E'(s(s(s('0'))),f(suc(X)))
    | ~ 'E'(s(s(s('0'))),f(suc(Y)))
    | ~ 'E'(s(s(s('0'))),f(X))
    | ~ 'E'(s(s(s('0'))),f(Y))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ iLEQ(suc(X),suc(Y)) ),
    inference(cnf_transformation,[],[clause_121]) ).

cnf('2',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
    | ~ 'E'(s(s(s('0'))),f(suc(X)))
    | ~ 'E'(s(s(s('0'))),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['1']) ).

cnf('3',plain,
    ( ~ 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(suc(suc(X))))
    | 'LE'(f(X),s(s(s('0')))) ),
    inference(cnf_transformation,[],[clause_143]) ).

cnf('4',plain,
    'LE'(f(X),s(s(s(s('0'))))),
    inference(cnf_transformation,[],[clause_113]) ).

cnf('5',plain,
    ( 'E'(s(s(s('0'))),f(suc(suc(X))))
    | 'LE'(f(X),s(s(s('0')))) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
    | ~ 'E'(s(s(s('0'))),f(X3))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s(s(s('0')))) ),
    inference(resolution,[],['2','5']) ).

cnf('7',plain,
    ( ~ 'LE'(f(suc(X)),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(suc(X)))
    | 'LE'(f(X),s(s(s('0')))) ),
    inference(cnf_transformation,[],[clause_13]) ).

cnf('8',plain,
    ( 'E'(s(s(s('0'))),f(suc(X3)))
    | 'LE'(f(X3),s(s(s('0')))) ),
    inference(resolution,[],['7','4']) ).

cnf('9',plain,
    ( ~ 'E'(s(s(s('0'))),f(X))
    | 'LE'(f(X),s(s(s('0'))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['6','8']) ).

cnf('10',plain,
    ( ~ 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(cnf_transformation,[],[clause_18]) ).

cnf('11',plain,
    ( ~ 'LE'(f(X0),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(X0))
    | 'LE'(f(X0),s(s(s('0')))) ),
    inference(cnf_transformation,[],[clause_61]) ).

cnf('12',plain,
    'LE'(f(X0),s(s(s(s('0'))))),
    inference(cnf_transformation,[],[clause_113]) ).

cnf('13',plain,
    ( 'E'(s(s(s('0'))),f(X))
    | 'LE'(f(X),s(s(s('0')))) ),
    inference(simplify,[],['11','12']) ).

cnf('14',plain,
    ( 'E'(s(s(s('0'))),f(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['10','13']) ).

cnf('15',plain,
    ( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['9','14']) ).

cnf('16',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X)))
    | ~ 'E'(s(s(s('0'))),f(suc(Y)))
    | ~ 'E'(s(s(s('0'))),f(X))
    | ~ 'E'(s(s(s('0'))),f(Y))
    | 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ iLEQ(suc(X),suc(Y)) ),
    inference(cnf_transformation,[],[clause_51]) ).

cnf('17',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X)))
    | ~ 'E'(s(s(s('0'))),f(X))
    | 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['16']) ).

cnf('18',plain,
    ( 'E'(s(s(s('0'))),f(suc(X)))
    | 'LE'(f(X),s(s(s('0')))) ),
    inference(resolution,[],['7','4']) ).

cnf('19',plain,
    ( ~ 'E'(s(s(s('0'))),f(X))
    | 'LE'(f(X),s(s(s('0'))))
    | 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['17','18']) ).

cnf('20',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['19','14']) ).

cnf('21',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
    | ~ 'E'(s(s(s('0'))),f(suc(X)))
    | ~ 'E'(s(s(s('0'))),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_140]) ).

cnf('22',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X3)))
    | ~ 'E'(s(s(s('0'))),f(X3))
    | ~ 'E'(f(X3),f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s(s(s('0')))) ),
    inference(resolution,[],['21','5']) ).

cnf('23',plain,
    ( ~ 'E'(s(s(s('0'))),f(X))
    | 'LE'(f(X),s(s(s('0'))))
    | ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['22','8']) ).

cnf('24',plain,
    ( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['23','14']) ).

cnf('25',plain,
    ( ~ 'E'(s(s(s('0'))),f(suc(X)))
    | ~ 'E'(s(s(s('0'))),f(X))
    | 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_65]) ).

cnf('26',plain,
    ( ~ 'E'(s(s(s('0'))),f(X))
    | 'LE'(f(X),s(s(s('0'))))
    | 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['25','18']) ).

cnf('27',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['26','14']) ).

cnf('28',plain,
    ( 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['24','27']) ).

cnf('29',plain,
    ( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['28','10']) ).

cnf('30',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['20','29']) ).

cnf('31',plain,
    ( ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['15','30']) ).

cnf('32',plain,
    ( 'LE'(f(suc(suc(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['31','29']) ).

cnf('33',plain,
    ( 'E'(s(s('0')),f(suc(suc(X))))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['32','10']) ).

cnf('34',plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(X))))
    | ~ 'E'(s(s('0')),f(suc(X)))
    | ~ 'E'(s(s('0')),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_97]) ).

cnf('35',plain,
    ( 'LE'(f(X3),s(s('0')))
    | ~ 'E'(s(s('0')),f(suc(X3)))
    | ~ 'E'(s(s('0')),f(X3))
    | ~ 'E'(f(X3),f(suc(X3)))
    | iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['33','34']) ).

cnf('36',plain,
    ( ~ 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(cnf_transformation,[],[clause_87]) ).

cnf('37',plain,
    ( 'E'(s(s(s('0'))),f(suc(X)))
    | 'E'(s(s('0')),f(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['13','36']) ).

cnf('38',plain,
    ( ~ 'E'(f(suc(X)),f(suc(suc(X))))
    | 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(X)))
    | ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['9','37']) ).

cnf('39',plain,
    ( 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(f(suc(X)),f(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(X)))
    | ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['19','37']) ).

cnf('40',plain,
    ( ~ 'E'(f(suc(X)),f(suc(suc(X))))
    | 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(X)))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['23','37']) ).

cnf('41',plain,
    ( 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(f(suc(X)),f(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(X)))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['26','37']) ).

cnf('42',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(X)))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['41','36']) ).

cnf('43',plain,
    ( 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(X)))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['40','42']) ).

cnf('44',plain,
    ( 'E'(s(s('0')),f(suc(X)))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['43','36']) ).

cnf('45',plain,
    ( 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(f(suc(X)),f(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['39','44']) ).

cnf('46',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | 'E'(s(s('0')),f(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['45','36']) ).

cnf('47',plain,
    ( 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(X)))
    | ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['38','46']) ).

cnf('48',plain,
    ( 'LE'(f(suc(X)),s(s(s('0'))))
    | 'E'(s(s('0')),f(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['47','44']) ).

cnf('49',plain,
    ( 'E'(s(s('0')),f(suc(X3)))
    | 'LE'(f(X3),s(s('0'))) ),
    inference(resolution,[],['48','36']) ).

cnf('50',plain,
    ( ~ 'E'(s(s('0')),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s(s('0')))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['35','49']) ).

cnf('51',plain,
    ( ~ 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0'))) ),
    inference(cnf_transformation,[],[clause_73]) ).

cnf('52',plain,
    ( 'E'(s(s(s('0'))),f(X))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['13','51']) ).

cnf('53',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s(s('0')))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['9','52']) ).

cnf('54',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['19','52']) ).

cnf('55',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s(s('0')))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['23','52']) ).

cnf('56',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['26','52']) ).

cnf('57',plain,
    ( 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['56','51']) ).

cnf('58',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['55','57']) ).

cnf('59',plain,
    ( 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['58','51']) ).

cnf('60',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X))) ),
    inference(resolution,[],['54','59']) ).

cnf('61',plain,
    ( 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X))) ),
    inference(resolution,[],['60','51']) ).

cnf('62',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0')))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['53','61']) ).

cnf('63',plain,
    ( 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['62','59']) ).

cnf('64',plain,
    ( 'E'(s(s('0')),f(X))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['63','51']) ).

cnf('65',plain,
    ( ~ 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_49]) ).

cnf('66',plain,
    ( 'E'(s(s('0')),f(suc(suc(X))))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['64','65']) ).

cnf('67',plain,
    ( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['50','66']) ).

cnf('68',plain,
    ( 'E'(s(s('0')),f(suc(X)))
    | 'LE'(f(X),s(s('0'))) ),
    inference(resolution,[],['48','36']) ).

cnf('69',plain,
    ( ~ 'E'(s(s('0')),f(suc(X)))
    | ~ 'E'(s(s('0')),f(X))
    | 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_84]) ).

cnf('70',plain,
    ( 'LE'(f(X3),s(s('0')))
    | ~ 'E'(s(s('0')),f(X3))
    | 'E'(f(X3),f(suc(X3)))
    | iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['68','69']) ).

cnf('71',plain,
    ( 'E'(s(s('0')),f(X3))
    | 'LE'(f(X3),s(s('0'))) ),
    inference(resolution,[],['63','51']) ).

cnf('72',plain,
    ( 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['70','71']) ).

cnf('73',plain,
    ( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['67','72']) ).

cnf('74',plain,
    ( ~ 'E'(s(s('0')),f(suc(X)))
    | ~ 'E'(s(s('0')),f(suc(Y)))
    | ~ 'E'(s(s('0')),f(X))
    | ~ 'E'(s(s('0')),f(Y))
    | 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ iLEQ(suc(X),suc(Y)) ),
    inference(cnf_transformation,[],[clause_38]) ).

cnf('75',plain,
    ( ~ 'E'(s(s('0')),f(suc(X)))
    | ~ 'E'(s(s('0')),f(X))
    | 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['74']) ).

cnf('76',plain,
    ( 'LE'(f(X3),s(s('0')))
    | ~ 'E'(s(s('0')),f(X3))
    | 'E'(f(X3),f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['68','75']) ).

cnf('77',plain,
    ( 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['76','71']) ).

cnf('78',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['73','77']) ).

cnf('79',plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(X))))
    | ~ 'E'(s(s('0')),f(suc(suc(Y))))
    | ~ 'E'(s(s('0')),f(suc(X)))
    | ~ 'E'(s(s('0')),f(suc(Y)))
    | ~ 'E'(s(s('0')),f(X))
    | ~ 'E'(s(s('0')),f(Y))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ iLEQ(suc(X),suc(Y)) ),
    inference(cnf_transformation,[],[clause_24]) ).

cnf('80',plain,
    ( ~ 'E'(s(s('0')),f(suc(suc(X))))
    | ~ 'E'(s(s('0')),f(suc(X)))
    | ~ 'E'(s(s('0')),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['79']) ).

cnf('81',plain,
    ( 'LE'(f(X3),s(s('0')))
    | ~ 'E'(s(s('0')),f(suc(X3)))
    | ~ 'E'(s(s('0')),f(X3))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['33','80']) ).

cnf('82',plain,
    ( ~ 'E'(s(s('0')),f(X))
    | ~ 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s(s('0')))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['81','49']) ).

cnf('83',plain,
    ( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['82','66']) ).

cnf('84',plain,
    ( ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['78','83']) ).

cnf('85',plain,
    ( 'LE'(f(suc(suc(X))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['84','73']) ).

cnf('86',plain,
    ( 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['85','65']) ).

cnf('87',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_31]) ).

cnf('88',plain,
    ( 'LE'(f(X3),s('0'))
    | ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['86','87']) ).

cnf('89',plain,
    ( ~ 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_39]) ).

cnf('90',plain,
    ( 'E'(s(s('0')),f(suc(X)))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['64','89']) ).

cnf('91',plain,
    ( ~ 'E'(f(suc(X)),f(suc(suc(X))))
    | 'LE'(f(suc(X)),s(s('0')))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['50','90']) ).

cnf('92',plain,
    ( 'LE'(f(suc(X)),s(s('0')))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['91','72']) ).

cnf('93',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['92','77']) ).

cnf('94',plain,
    ( ~ 'E'(f(suc(X)),f(suc(suc(X))))
    | ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['82','90']) ).

cnf('95',plain,
    ( ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['93','94']) ).

cnf('96',plain,
    ( iLEQ(suc(suc(X)),suc(suc(X)))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['92','89']) ).

cnf('97',plain,
    ( 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['95','96']) ).

cnf('98',plain,
    ( 'E'(s('0'),f(suc(X3)))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['97','89']) ).

cnf('99',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['88','98']) ).

cnf('100',plain,
    ( 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['97','89']) ).

cnf('101',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_115]) ).

cnf('102',plain,
    ( 'LE'(f(X3),s('0'))
    | 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['100','101']) ).

cnf('103',plain,
    ( ~ 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_15]) ).

cnf('104',plain,
    ( 'E'(s(s('0')),f(X))
    | 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['64','103']) ).

cnf('105',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['50','104']) ).

cnf('106',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['72','103']) ).

cnf('107',plain,
    ( 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['105','106']) ).

cnf('108',plain,
    ( 'LE'(f(X),s(s('0')))
    | 'E'(f(X),f(suc(X)))
    | 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['107','77']) ).

cnf('109',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['82','104']) ).

cnf('110',plain,
    ( 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['108','109']) ).

cnf('111',plain,
    ( 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['107','103']) ).

cnf('112',plain,
    ( 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['110','111']) ).

cnf('113',plain,
    ( 'E'(s('0'),f(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['112','103']) ).

cnf('114',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['102','113']) ).

cnf('115',plain,
    ( ~ 'E'(s('0'),f(X3))
    | 'LE'(f(X3),s('0'))
    | iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['99','114']) ).

cnf('116',plain,
    ( 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['115','113']) ).

cnf('117',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ iLEQ(suc(X),suc(Y)) ),
    inference(cnf_transformation,[],[clause_112]) ).

cnf('118',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['117']) ).

cnf('119',plain,
    ( 'LE'(f(X3),s('0'))
    | 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['100','118']) ).

cnf('120',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['119','113']) ).

cnf('121',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['116','120']) ).

cnf('122',plain,
    ( 'LE'(f(X3),s('0'))
    | ~ 'E'(s('0'),f(X3))
    | iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['121','99']) ).

cnf('123',plain,
    ( 'LE'(f(Y3),s('0'))
    | iLEQ(suc(Y3),suc(Y3)) ),
    inference(simplify,[],['122','113']) ).

cnf('124',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(Y))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ iLEQ(suc(X),suc(Y)) ),
    inference(cnf_transformation,[],[clause_57]) ).

cnf('125',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['124']) ).

cnf('126',plain,
    ( 'LE'(f(X3),s('0'))
    | ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['86','125']) ).

cnf('127',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['126','98']) ).

cnf('128',plain,
    ( 'LE'(f(X3),s('0'))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3)) ),
    inference(resolution,[],['121','127']) ).

cnf('129',plain,
    ( ~ iLEQ(suc(Y3),suc(Y3))
    | 'LE'(f(Y3),s('0')) ),
    inference(simplify,[],['128','113']) ).

cnf('130',plain,
    'LE'(f(X),s('0')),
    inference(simplify,[],['123','129']) ).

cnf('131',plain,
    ( ~ 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_27]) ).

cnf('132',plain,
    ( 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['130','131']) ).

cnf('133',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(cnf_transformation,[],[clause_114]) ).

cnf('134',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['132','133']) ).

cnf('135',plain,
    ( ~ 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_2]) ).

cnf('136',plain,
    ( 'E'('0',f(suc(X3)))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['130','135']) ).

cnf('137',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['134','136']) ).

cnf('138',plain,
    ( 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['130','135']) ).

cnf('139',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(cnf_transformation,[],[clause_150]) ).

cnf('140',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['138','139']) ).

cnf('141',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_145]) ).

cnf('142',plain,
    ( 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['130','141']) ).

cnf('143',plain,
    ( 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['140','142']) ).

cnf('144',plain,
    ( iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['137','143']) ).

cnf('145',plain,
    ( iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['144','142']) ).

cnf('146',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ iLEQ(suc(X),suc(Y))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y)) ),
    inference(cnf_transformation,[],[clause_0]) ).

cnf('147',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(factorization,[],['146']) ).

cnf('148',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['145','147']) ).

cnf('149',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['148','136']) ).

cnf('150',plain,
    ( 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['130','141']) ).

cnf('151',plain,
    ~ 'LE'(f(z),'0'),
    inference(cnf_transformation,[],[clause_77]) ).

cnf('152',plain,
    'E'('0',f(z)),
    inference(resolution,[],['150','151']) ).

cnf('153',plain,
    ~ 'LE'(f(z),'0'),
    inference(cnf_transformation,[],[clause_77]) ).

cnf('154',plain,
    'E'(f(z),f(suc(z))),
    inference(resolution,[then_simplify],['149','152','153']) ).

cnf('155',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'('0',f(suc(suc(Y))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ iLEQ(suc(Y),suc(X))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y)) ),
    inference(cnf_transformation,[],[clause_48]) ).

cnf('156',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(factorization,[],['155']) ).

cnf('157',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['132','156']) ).

cnf('158',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['157','136']) ).

cnf('159',plain,
    'E'('0',f(z)),
    inference(resolution,[],['150','151']) ).

cnf('160',plain,
    iLEQ(suc(z),suc(z)),
    inference(resolution,[then_simplify],['154','137','159','153']) ).

cnf('161',plain,
    $false,
    inference(resolution,[then_simplify],['154','158','160','159','153']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO677-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 03:48:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                    38
% 0.20/0.39  in_rule_clause_count:               38
% 0.20/0.39  in_fact_clause_count:                0
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:              1
% 0.20/0.39  in_unit_clause_count:                2
% 0.20/0.39  in_horn_clause_count:               18
% 0.20/0.39  in_pos_clause_count:                 1
% 0.20/0.39  in_neg_clause_count:                 5
% 0.20/0.39  in_poseq_clause_count:               0
% 0.20/0.39  in_negeq_clause_count:               0
% 0.20/0.39  in_unitposeq_clause_count:           0
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             9
% 0.20/0.39  in_min_depth:              2
% 0.20/0.39  in_max_depth:              5
% 0.20/0.39  in_min_size:               4
% 0.20/0.39  in_max_size:              65
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               2
% 0.20/0.39  in_extaxiom_count:                 0
% 0.20/0.39  in_axiom_count:                   38
% 0.20/0.39  in_assumption_count:               0
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% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
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% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
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% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 4 fork 3 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 5 fork 4 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.39  
% 0.20/0.39  **** run 7 fork 6 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 8 fork 7 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.43  
% 0.20/0.43  fork 1: search finished without proof.
% 0.20/0.43  
% 0.20/0.43  fork 5: search finished without proof.
% 0.20/0.44  
% 0.20/0.44  fork 7: search finished without proof.
% 0.20/0.46  
% 0.20/0.46  **** run 10 fork 1 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.46  
% 0.20/0.46  **** run 14 fork 5 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.47  
% 0.20/0.47  **** run 16 fork 7 starts with strategy
% 0.20/0.47  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.49  
% 0.20/0.49  fork 5: search finished without proof.
% 0.20/0.51  
% 0.20/0.51  fork 0: search finished without proof.
% 0.20/0.51  
% 0.20/0.51  **** run 22 fork 5 starts with strategy
% 0.20/0.51  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.20/0.51  
% 0.20/0.51  fork 2: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  fork 3: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  fork 4: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 6: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  **** run 9 fork 0 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.54  
% 0.20/0.54  **** run 12 fork 3 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.54  
% 0.20/0.54  **** run 11 fork 2 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.54  
% 0.20/0.54  **** run 13 fork 4 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.54  
% 0.20/0.54  **** run 15 fork 6 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.55  
% 0.20/0.55  fork 5: search finished without proof.
% 0.20/0.56  
% 0.20/0.56  fork 3: search finished without proof.
% 0.20/0.56  
% 0.20/0.56  fork 4: search finished without proof.
% 0.20/0.57  
% 0.20/0.57  **** run 30 fork 5 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.20/0.57  
% 0.20/0.57  **** run 20 fork 3 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.57  
% 0.20/0.57  
% 0.20/0.57  fork 1: search terminated without proof.
% 0.20/0.58  
% 0.20/0.58  **** run 21 fork 4 starts with strategy
% 0.20/0.58  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.60  
% 0.20/0.60  **** run 18 fork 1 starts with strategy
% 0.20/0.60  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.20/0.61  
% 0.20/0.61  
% 0.20/0.61  result: proof found
% 0.20/0.61  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.61  by run 16 fork 7 strategy {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.61  
% 0.20/0.61  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.61  
% 0.20/0.61  run 16 fork 7 statistics:
% 0.20/0.61  ----------------------------------
% 0.20/0.61  this run seconds: 0.056641
% 0.20/0.61  total seconds: 0.136694
% 0.20/0.61  stat_given_used: 314
% 0.20/0.61  stat_given_used_at_endgame: 0
% 0.20/0.61  stat_given_candidates:   1419
% 0.20/0.61  stat_given_candidates_at_endgame: 0
% 0.20/0.61  stat_given_candidates_h: 0
% 0.20/0.61  stat_binres_derived_cl:   3437
% 0.20/0.61  stat_binres_derived_cl_h: 0
% 0.20/0.61  stat_factor_derived_cl: 114
% 0.20/0.61  stat_para_derived_cl: 0
% 0.20/0.61  stat_tautologies_discarded: 589
% 0.20/0.61  stat_forward_subsumed: 0
% 0.20/0.61  stat_derived_cut: 122
% 0.20/0.61  stat_derived_rewritten: 0
% 0.20/0.61  stat_weight_discarded_building: 0
% 0.20/0.61  stat_weight_discarded_cl: 40
% 0.20/0.61  stat_internlimit_discarded_cl: 0
% 0.20/0.61  stat_simplified:  119 simplified 0 derived 0 given
% 0.20/0.61  stat_kept_cl: 2921
% 0.20/0.61  stat_built_cl: 3708
% 0.20/0.61  stat_hyperres_partial_cl: 0
% 0.20/0.61  stat_made_rewriters: 0
% 0.20/0.61  stat_backward_subsumed: 0
% 0.20/0.61  stat_propagated_subsumed: 0
% 0.20/0.61  stat_clsubs_attempted:                     20608
% 0.20/0.61  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.61  stat_clsubs_rule_groundunit_found:             1
% 0.20/0.61  stat_clsubs_top_meta_attempted:             184534
% 0.20/0.61  stat_clsubs_top_meta_failed:                163926
% 0.20/0.61  stat_clsubs_top_meta_nonpref_attempted:              184534
% 0.20/0.61  stat_clsubs_top_meta_nonpref_succeeded:               44912
% 0.20/0.61  stat_clsubs_top_meta_pref_attempted:                  44912
% 0.20/0.61  stat_clsubs_top_meta_pref1_succeeded:                 37970
% 0.20/0.61  stat_clsubs_top_meta_pref2_succeeded:                 28664
% 0.20/0.61  stat_clsubs_top_meta_pref3_succeeded:                 20608
% 0.20/0.61  stat_clsubs_top_meta_pref_succeeded:                  20608
% 0.20/0.61  stat_clsubs_meta_attempted:               103409
% 0.20/0.61  stat_clsubs_meta_failed:                   50742
% 0.20/0.61  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.61  stat_clsubs_unit_attempted:                  191
% 0.20/0.61  stat_clsubs_full_attempted:                20417
% 0.20/0.61  stat_forwardsubs_attempted:                 2962
% 0.20/0.61  stat_lit_hash_added:                     54
% 0.20/0.61  stat_lit_hash_computed:               45198
% 0.20/0.61  stat_lit_hash_match_found:                9
% 0.20/0.61  stat_lit_hash_match_miss:             67521
% 0.20/0.61  stat_lit_hash_cut_ok:                   125
% 0.20/0.61  stat_lit_strong_cut_ok:                   0
% 0.20/0.61  stat_lit_hash_subsume_ok:                 0
% 0.20/0.61  clqueue els 10000000 used 1
% 0.20/0.61  clactive els 10000000 used 315
% 0.20/0.61  clactivesubsume els 10000000 used 1867
% 0.20/0.61  queue_termbuf els 200000000 used 591337
% 0.20/0.61  hyper_termbuf els 100000000 used 1
% 0.20/0.61  active_termbuf els 100000000 used 40041
% 0.20/0.61  varstack els 5000 last used 1
% 0.20/0.61  given_termbuf els 10000000 last used 1
% 0.20/0.61  simplified_termbuf els 10000000 last used 1
% 0.20/0.61  derived_termbuf els 10000000 last used 66
% 0.20/0.61  wr_mallocs: 2089
% 0.20/0.61  wr_callocs: 21
% 0.20/0.61  wr_reallocs: 179
% 0.20/0.61  wr_frees: 2
% 0.20/0.61  wr_malloc_bytes: 4162666772
% 0.20/0.61  wr_calloc_bytes: 112065536
% 0.20/0.61  wr_realloc_bytes: 97760
% 0.20/0.61  wr_realloc_freebytes: 0
% 0.20/0.61  ----------------------------------
%------------------------------------------------------------------------------