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GKC---0.8.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYO662-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n024.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 04:37:33 EDT 2023

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause_722)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
    | ~ 'E'(s('0'),f(suc(suc(suc(Y)))))
    | ~ 'E'(s('0'),f(suc(suc(suc(Z)))))
    | ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(Y))))
    | ~ 'E'(s('0'),f(suc(suc(Z))))
    | ~ 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(Y),f(suc(suc(Y))))
    | ~ 'E'(f(Z),f(suc(suc(Z))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(s('0'),f(suc(Z)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(f(Z),f(suc(Z)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ 'E'(s('0'),f(Z))
    | ~ iLEQ(suc(X),suc(Z))
    | ~ iLEQ(suc(Z),suc(Y)) ),
    inference(cnf_transformation,[],[clause_722]) ).

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

cnf('3',plain,
    ( ~ 'LE'(f(suc(suc(suc(X)))),s(s('0')))
    | 'E'(s('0'),f(suc(suc(suc(X)))))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_452]) ).

cnf('4',plain,
    'LE'(f(X),s(s('0'))),
    inference(cnf_transformation,[],[clause_410]) ).

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

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

cnf('7',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_214]) ).

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

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

cnf('10',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(Y))))
    | ~ 'E'(s('0'),f(suc(suc(Z))))
    | 'E'(f(X),f(suc(suc(X))))
    | 'E'(f(Y),f(suc(suc(Y))))
    | 'E'(f(Z),f(suc(suc(Z))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(s('0'),f(suc(Z)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(f(Z),f(suc(Z)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ 'E'(s('0'),f(Z))
    | ~ iLEQ(suc(X),suc(Z))
    | ~ iLEQ(suc(Z),suc(Y)) ),
    inference(cnf_transformation,[],[clause_592]) ).

cnf('11',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | 'E'(f(X),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,[],['10']) ).

cnf('12',plain,
    ( 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['7','4']) ).

cnf('13',plain,
    ( 'E'(f(X3),f(suc(suc(X3))))
    | ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( ~ 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_655]) ).

cnf('15',plain,
    ( 'E'(s('0'),f(suc(X3)))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['14','4']) ).

cnf('16',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['13','15']) ).

cnf('17',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(s('0'),f(suc(Z)))
    | 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | 'E'(f(Z),f(suc(Z)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ 'E'(s('0'),f(Z))
    | ~ iLEQ(suc(X),suc(Z))
    | ~ iLEQ(suc(Z),suc(Y)) ),
    inference(cnf_transformation,[],[clause_597]) ).

cnf('18',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,[],['17']) ).

cnf('19',plain,
    ( 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['14','4']) ).

cnf('20',plain,
    ( 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['18','19']) ).

cnf('21',plain,
    ( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
    | ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(f(X),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_871]) ).

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

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

cnf('24',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | 'E'(f(X),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_110]) ).

cnf('25',plain,
    ( 'E'(f(X3),f(suc(suc(X3))))
    | ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['24','12']) ).

cnf('26',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['25','15']) ).

cnf('27',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_494]) ).

cnf('28',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['27','19']) ).

cnf('29',plain,
    ( ~ 'LE'(f(X0),s(s('0')))
    | 'E'(s('0'),f(X0))
    | 'LE'(f(X0),s('0')) ),
    inference(cnf_transformation,[],[clause_651]) ).

cnf('30',plain,
    'LE'(f(X0),s(s('0'))),
    inference(cnf_transformation,[],[clause_410]) ).

cnf('31',plain,
    ( 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['29','30']) ).

cnf('32',plain,
    ( 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['28','31']) ).

cnf('33',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['26','32']) ).

cnf('34',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['33','31']) ).

cnf('35',plain,
    ( ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['23','34']) ).

cnf('36',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['35','15']) ).

cnf('37',plain,
    ( ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['36','32']) ).

cnf('38',plain,
    ( iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['37','31']) ).

cnf('39',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['20','38']) ).

cnf('40',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['39','31']) ).

cnf('41',plain,
    ( 'E'(f(X3),f(suc(suc(X3))))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['16','40']) ).

cnf('42',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['41','38']) ).

cnf('43',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['42','31']) ).

cnf('44',plain,
    ( ~ 'E'(s('0'),f(suc(X3)))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['9','43']) ).

cnf('45',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['44','15']) ).

cnf('46',plain,
    ( ~ 'E'(s('0'),f(X3))
    | ~ iLEQ(suc(X3),suc(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['45','40']) ).

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

cnf('48',plain,
    'LE'(f(X),s('0')),
    inference(resolution,[],['47','31']) ).

cnf('49',plain,
    ( ~ 'LE'(f(suc(suc(suc(X)))),s('0'))
    | 'E'('0',f(suc(suc(suc(X)))))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_1145]) ).

cnf('50',plain,
    ( 'E'('0',f(suc(suc(suc(X)))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['48','49']) ).

cnf('51',plain,
    ( ~ 'E'('0',f(suc(suc(suc(X)))))
    | ~ 'E'(f(X),f(suc(suc(X))))
    | ~ '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_915]) ).

cnf('52',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(suc(X3))))
    | ~ 'E'('0',f(suc(suc(X3))))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['50','51']) ).

cnf('53',plain,
    ( ~ 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_287]) ).

cnf('54',plain,
    ( 'E'('0',f(suc(suc(X3))))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['48','53']) ).

cnf('55',plain,
    ( ~ 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['52','54']) ).

cnf('56',plain,
    ( 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['48','53']) ).

cnf('57',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ '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_27]) ).

cnf('58',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(suc(X3))))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['56','57']) ).

cnf('59',plain,
    ( ~ 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_326]) ).

cnf('60',plain,
    ( 'E'('0',f(suc(X3)))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['48','59']) ).

cnf('61',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['58','60']) ).

cnf('62',plain,
    ( 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['48','59']) ).

cnf('63',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_613]) ).

cnf('64',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['62','63']) ).

cnf('65',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_10]) ).

cnf('66',plain,
    ( 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['48','65']) ).

cnf('67',plain,
    ( 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['64','66']) ).

cnf('68',plain,
    ( 'E'(f(X3),f(suc(suc(X3))))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['61','67']) ).

cnf('69',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['68','66']) ).

cnf('70',plain,
    ( ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['55','69']) ).

cnf('71',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['70','60']) ).

cnf('72',plain,
    ( iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['71','67']) ).

cnf('73',plain,
    ( iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['72','66']) ).

cnf('74',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | 'E'(f(Z),f(suc(Z)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ 'E'('0',f(suc(Z)))
    | ~ iLEQ(suc(X),suc(Y))
    | ~ iLEQ(suc(Z),suc(X))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y))
    | ~ 'E'('0',f(Z)) ),
    inference(cnf_transformation,[],[clause_105]) ).

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

cnf('76',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['73','75']) ).

cnf('77',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['76','60']) ).

cnf('78',plain,
    ( 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['48','65']) ).

cnf('79',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['77','78']) ).

cnf('80',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | 'E'(f(Y),f(suc(suc(Y))))
    | 'E'(f(Z),f(suc(suc(Z))))
    | ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'('0',f(suc(suc(Y))))
    | ~ 'E'('0',f(suc(suc(Z))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(f(Z),f(suc(Z)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ 'E'('0',f(suc(Z)))
    | ~ iLEQ(suc(Y),suc(Z))
    | ~ iLEQ(suc(Z),suc(X))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y))
    | ~ 'E'('0',f(Z)) ),
    inference(cnf_transformation,[],[clause_806]) ).

cnf('81',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ '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,[],['80']) ).

cnf('82',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(suc(X3))))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['56','81']) ).

cnf('83',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['82','60']) ).

cnf('84',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(suc(X3))))
    | ~ iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['79','83']) ).

cnf('85',plain,
    ( 'E'(f(Y3),f(suc(suc(Y3))))
    | ~ iLEQ(suc(Y3),suc(Y3))
    | 'LE'(f(Y3),'0') ),
    inference(simplify,[],['84','66']) ).

cnf('86',plain,
    ( iLEQ(suc(Y3),suc(Y3))
    | 'LE'(f(Y3),'0') ),
    inference(simplify,[],['72','66']) ).

cnf('87',plain,
    ( 'E'(f(X),f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['85','86']) ).

cnf('88',plain,
    ( ~ 'E'('0',f(suc(suc(suc(X)))))
    | ~ 'E'('0',f(suc(suc(suc(Y)))))
    | ~ 'E'('0',f(suc(suc(suc(Z)))))
    | ~ 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(Y),f(suc(suc(Y))))
    | ~ 'E'(f(Z),f(suc(suc(Z))))
    | ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'('0',f(suc(suc(Y))))
    | ~ 'E'('0',f(suc(suc(Z))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(f(Z),f(suc(Z)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ 'E'('0',f(suc(Z)))
    | ~ iLEQ(suc(Y),suc(Z))
    | ~ iLEQ(suc(Z),suc(X))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y))
    | ~ 'E'('0',f(Z)) ),
    inference(cnf_transformation,[],[clause_864]) ).

cnf('89',plain,
    ( ~ 'E'('0',f(suc(suc(suc(X)))))
    | ~ 'E'(f(X),f(suc(suc(X))))
    | ~ '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,[],['88']) ).

cnf('90',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(suc(X3))))
    | ~ 'E'('0',f(suc(suc(X3))))
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['50','89']) ).

cnf('91',plain,
    ( ~ 'E'(f(X),f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['90','54']) ).

cnf('92',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,[],['87','91']) ).

cnf('93',plain,
    ( 'E'(f(X3),f(suc(X3)))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['77','78']) ).

cnf('94',plain,
    ( ~ 'E'('0',f(suc(Y3)))
    | ~ iLEQ(suc(Y3),suc(Y3))
    | ~ 'E'('0',f(Y3))
    | 'LE'(f(Y3),'0') ),
    inference(simplify,[],['92','93']) ).

cnf('95',plain,
    ( ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['94','86']) ).

cnf('96',plain,
    ( ~ 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['95','62']) ).

cnf('97',plain,
    'LE'(f(X),'0'),
    inference(simplify,[],['96','66']) ).

cnf('98',plain,
    ~ 'LE'(f(z),'0'),
    inference(cnf_transformation,[],[clause_543]) ).

cnf('99',plain,
    $false,
    inference(resolution,[],['97','98']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO662-1 : TPTP v8.1.2. Released v7.3.0.
% 0.14/0.12  % Command  : gkc %s
% 0.14/0.33  % Computer : n024.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Sat Aug 26 01:36:09 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.20/0.38  
% 0.20/0.38  input clause set summed statistics:
% 0.20/0.38  ----------------------------------
% 0.20/0.38  in_clause_count:                    70
% 0.20/0.38  in_rule_clause_count:               70
% 0.20/0.38  in_fact_clause_count:                0
% 0.20/0.38  in_answer_clause_count:              0
% 0.20/0.38  in_ground_clause_count:              1
% 0.20/0.38  in_unit_clause_count:                2
% 0.20/0.38  in_horn_clause_count:               18
% 0.20/0.38  in_pos_clause_count:                 1
% 0.20/0.38  in_neg_clause_count:                 3
% 0.20/0.38  in_poseq_clause_count:               0
% 0.20/0.38  in_negeq_clause_count:               0
% 0.20/0.38  in_unitposeq_clause_count:           0
% 0.20/0.38  in_chain_clause_count:               0
% 0.20/0.38  in_min_length:             1
% 0.20/0.38  in_max_length:            20
% 0.20/0.38  in_min_depth:              2
% 0.20/0.38  in_max_depth:              5
% 0.20/0.38  in_min_size:               4
% 0.20/0.38  in_max_size:             127
% 0.20/0.38  in_min_vars:               0
% 0.20/0.38  in_max_vars:               3
% 0.20/0.38  in_extaxiom_count:                 0
% 0.20/0.38  in_axiom_count:                   70
% 0.20/0.38  in_assumption_count:               0
% 0.20/0.38  in_goal_count:                     0
% 0.20/0.38  in_neg_goal_count:                 0
% 0.20/0.38  in_pos_goal_count:                 0
% 0.20/0.38  in_posunit_goal_count:             0
% 0.20/0.38  
% 0.20/0.38  auto guide:
% 0.20/0.38  -----------
% 0.20/0.38  {
% 0.20/0.38  "print":1,
% 0.20/0.38  "print_level": 15,
% 0.20/0.38  "max_size": 0,
% 0.20/0.38  "max_depth": 0,
% 0.20/0.38  "max_length": 0,
% 0.20/0.38  "max_dseconds": 0,
% 0.20/0.38  "equality":0,
% 0.20/0.38  "runs":[
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.20/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  
% 0.20/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.20/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.38  
% 0.20/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.20/0.38  
% 0.20/0.38  ]}
% 0.20/0.38  
% 0.20/0.38  
% 0.20/0.38  **** run 1 fork 0 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.38  
% 0.20/0.38  **** run 2 fork 1 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.38  
% 0.20/0.38  **** run 3 fork 2 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.38  
% 0.20/0.38  **** run 4 fork 3 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.38  
% 0.20/0.38  **** run 5 fork 4 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.38  
% 0.20/0.38  **** run 6 fork 5 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.38  
% 0.20/0.38  **** run 7 fork 6 starts with strategy
% 0.20/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.39  
% 0.20/0.39  **** run 8 fork 7 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.50  
% 0.20/0.50  fork 5: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  fork 6: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  fork 2: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  fork 3: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  fork 1: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  fork 4: search terminated without proof.
% 0.20/0.51  
% 0.20/0.51  fork 7: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 0: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  **** run 15 fork 6 starts with strategy
% 0.20/0.52  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.52  
% 0.20/0.52  **** run 14 fork 5 starts with strategy
% 0.20/0.52  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  **** run 12 fork 3 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  **** run 10 fork 1 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  **** run 11 fork 2 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.53  
% 0.20/0.53  **** run 13 fork 4 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.53  
% 0.20/0.53  **** run 16 fork 7 starts with strategy
% 0.20/0.53  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.54  
% 0.20/0.54  **** run 9 fork 0 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.60  
% 0.20/0.60  
% 0.20/0.60  result: proof found
% 0.20/0.60  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.60  by run 16 fork 7 strategy {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.60  
% 0.20/0.60  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.60  
% 0.20/0.60  run 16 fork 7 statistics:
% 0.20/0.60  ----------------------------------
% 0.20/0.60  this run seconds: 0.049429
% 0.20/0.60  total seconds: 0.200013
% 0.20/0.60  stat_given_used: 190
% 0.20/0.60  stat_given_used_at_endgame: 0
% 0.20/0.60  stat_given_candidates:   556
% 0.20/0.60  stat_given_candidates_at_endgame: 0
% 0.20/0.60  stat_given_candidates_h: 0
% 0.20/0.60  stat_binres_derived_cl:   949
% 0.20/0.60  stat_binres_derived_cl_h: 0
% 0.20/0.60  stat_factor_derived_cl: 1638
% 0.20/0.60  stat_para_derived_cl: 0
% 0.20/0.60  stat_tautologies_discarded: 398
% 0.20/0.60  stat_forward_subsumed: 121
% 0.20/0.60  stat_derived_cut: 247
% 0.20/0.60  stat_derived_rewritten: 0
% 0.20/0.60  stat_weight_discarded_building: 0
% 0.20/0.60  stat_weight_discarded_cl: 0
% 0.20/0.60  stat_internlimit_discarded_cl: 0
% 0.20/0.60  stat_simplified:  247 simplified 0 derived 0 given
% 0.20/0.60  stat_kept_cl: 2067
% 0.20/0.60  stat_built_cl: 2694
% 0.20/0.60  stat_hyperres_partial_cl: 0
% 0.20/0.60  stat_made_rewriters: 0
% 0.20/0.60  stat_backward_subsumed: 0
% 0.20/0.60  stat_propagated_subsumed: 0
% 0.20/0.60  stat_clsubs_attempted:                      6140
% 0.20/0.60  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.60  stat_clsubs_rule_groundunit_found:             1
% 0.20/0.60  stat_clsubs_top_meta_attempted:              43920
% 0.20/0.60  stat_clsubs_top_meta_failed:                 37780
% 0.20/0.60  stat_clsubs_top_meta_nonpref_attempted:               43920
% 0.20/0.60  stat_clsubs_top_meta_nonpref_succeeded:               13968
% 0.20/0.60  stat_clsubs_top_meta_pref_attempted:                  13968
% 0.20/0.60  stat_clsubs_top_meta_pref1_succeeded:                  8405
% 0.20/0.60  stat_clsubs_top_meta_pref2_succeeded:                  6250
% 0.20/0.60  stat_clsubs_top_meta_pref3_succeeded:                  6140
% 0.20/0.60  stat_clsubs_top_meta_pref_succeeded:                   6140
% 0.20/0.60  stat_clsubs_meta_attempted:                85925
% 0.20/0.60  stat_clsubs_meta_failed:                   24131
% 0.20/0.60  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.60  stat_clsubs_unit_attempted:                  499
% 0.20/0.60  stat_clsubs_full_attempted:                 5641
% 0.20/0.60  stat_forwardsubs_attempted:                 2188
% 0.20/0.60  stat_lit_hash_added:                     45
% 0.20/0.60  stat_lit_hash_computed:               37529
% 0.20/0.60  stat_lit_hash_match_found:              139
% 0.20/0.60  stat_lit_hash_match_miss:             64560
% 0.20/0.60  stat_lit_hash_cut_ok:                   254
% 0.20/0.60  stat_lit_strong_cut_ok:                   0
% 0.20/0.60  stat_lit_hash_subsume_ok:               121
% 0.20/0.60  clqueue els 10000000 used 1
% 0.20/0.60  clactive els 10000000 used 191
% 0.20/0.60  clactivesubsume els 10000000 used 1135
% 0.20/0.60  queue_termbuf els 200000000 used 805446
% 0.20/0.60  hyper_termbuf els 100000000 used 1
% 0.20/0.60  active_termbuf els 100000000 used 38596
% 0.20/0.60  varstack els 5000 last used 1
% 0.20/0.60  given_termbuf els 10000000 last used 20
% 0.20/0.60  simplified_termbuf els 10000000 last used 1
% 0.20/0.60  derived_termbuf els 10000000 last used 3
% 0.20/0.60  wr_mallocs: 1220
% 0.20/0.60  wr_callocs: 21
% 0.20/0.60  wr_reallocs: 106
% 0.20/0.60  wr_frees: 2
% 0.20/0.60  wr_malloc_bytes: 4162631876
% 0.20/0.60  wr_calloc_bytes: 112065536
% 0.20/0.60  wr_realloc_bytes: 80688
% 0.20/0.60  wr_realloc_freebytes: 0
% 0.20/0.60  ----------------------------------
%------------------------------------------------------------------------------