TSTP Solution File: SYO667-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYO667-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n012.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 04:37:35 EDT 2023
% Result : Unsatisfiable 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_4)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(suc(X))))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| ~ 'E'(f(X),f(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X))) ),
inference(cnf_transformation,[],[clause_4]) ).
cnf('2',plain,
( ~ 'LE'(f(suc(suc(suc(suc(X))))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s(s('0'))) ),
inference(cnf_transformation,[],[clause_37]) ).
cnf('3',plain,
'LE'(f(X),s(s(s('0')))),
inference(cnf_transformation,[],[clause_51]) ).
cnf('4',plain,
( 'E'(s(s('0')),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['2','3']) ).
cnf('5',plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(X3)))))
| ~ 'E'(f(X3),f(suc(suc(suc(X3)))))
| ~ 'E'(s(s('0')),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['1','4']) ).
cnf('6',plain,
( ~ 'LE'(f(suc(suc(suc(X)))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'LE'(f(X),s(s('0'))) ),
inference(cnf_transformation,[],[clause_40]) ).
cnf('7',plain,
( 'E'(s(s('0')),f(suc(suc(suc(X3)))))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['6','3']) ).
cnf('8',plain,
( ~ 'E'(f(X),f(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['5','7']) ).
cnf('9',plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(f(X),f(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X))) ),
inference(cnf_transformation,[],[clause_27]) ).
cnf('10',plain,
( 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['6','3']) ).
cnf('11',plain,
( 'E'(f(X3),f(suc(suc(suc(X3)))))
| ~ 'E'(s(s('0')),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['9','10']) ).
cnf('12',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_6]) ).
cnf('13',plain,
( 'E'(s(s('0')),f(suc(suc(X3))))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['12','3']) ).
cnf('14',plain,
( 'E'(f(X),f(suc(suc(suc(X)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['11','13']) ).
cnf('15',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['8','14']) ).
cnf('16',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['15','13']) ).
cnf('17',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X))) ),
inference(cnf_transformation,[],[clause_44]) ).
cnf('18',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['12','3']) ).
cnf('19',plain,
( 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['17','18']) ).
cnf('20',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_42]) ).
cnf('21',plain,
( 'E'(s(s('0')),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['20','3']) ).
cnf('22',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['19','21']) ).
cnf('23',plain,
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['16','22']) ).
cnf('24',plain,
( ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['23','21']) ).
cnf('25',plain,
( ~ 'LE'(f(suc(suc(suc(suc(X))))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_8]) ).
cnf('26',plain,
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
inference(cnf_transformation,[],[clause_2]) ).
cnf('27',plain,
'LE'(f(X0),s(s(s('0')))),
inference(cnf_transformation,[],[clause_51]) ).
cnf('28',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['26','27']) ).
cnf('29',plain,
( 'E'(s(s('0')),f(suc(suc(suc(suc(X))))))
| 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['25','28']) ).
cnf('30',plain,
( ~ 'E'(f(suc(suc(suc(suc(X))))),f(suc(suc(suc(suc(suc(X)))))))
| 'LE'(f(suc(suc(suc(suc(X))))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['24','29']) ).
cnf('31',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['20','3']) ).
cnf('32',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| 'E'(f(X),f(suc(X))) ),
inference(cnf_transformation,[],[clause_21]) ).
cnf('33',plain,
( ~ 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X))) ),
inference(resolution,[],['31','32']) ).
cnf('34',plain,
( 'E'(f(suc(suc(suc(suc(X))))),f(suc(suc(suc(suc(suc(X)))))))
| 'LE'(f(suc(suc(suc(suc(X))))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['29','33']) ).
cnf('35',plain,
( 'LE'(f(suc(suc(suc(suc(X))))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['30','34']) ).
cnf('36',plain,
( 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['35','25']) ).
cnf('37',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| ~ 'E'(f(X),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)) ),
inference(cnf_transformation,[],[clause_49]) ).
cnf('38',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(suc(suc(suc(X3)))))
| ~ 'E'(f(X3),f(suc(suc(suc(X3)))))
| ~ '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)) ),
inference(resolution,[],['36','37']) ).
cnf('39',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_30]) ).
cnf('40',plain,
( 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['39','28']) ).
cnf('41',plain,
( ~ 'E'(f(suc(suc(suc(X)))),f(suc(suc(suc(suc(X))))))
| 'LE'(f(suc(suc(suc(X)))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['24','40']) ).
cnf('42',plain,
( 'E'(f(suc(suc(suc(X)))),f(suc(suc(suc(suc(X))))))
| 'LE'(f(suc(suc(suc(X)))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['40','33']) ).
cnf('43',plain,
( 'LE'(f(suc(suc(suc(X)))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['41','42']) ).
cnf('44',plain,
( 'E'(s('0'),f(suc(suc(suc(X3)))))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['43','39']) ).
cnf('45',plain,
( ~ 'E'(f(Y3),f(suc(suc(suc(Y3)))))
| ~ 'E'(s('0'),f(suc(suc(Y3))))
| ~ 'E'(f(Y3),f(suc(suc(Y3))))
| ~ 'E'(s('0'),f(suc(Y3)))
| ~ 'E'(f(Y3),f(suc(Y3)))
| ~ 'E'(s('0'),f(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['38','44']) ).
cnf('46',plain,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_3]) ).
cnf('47',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['28','46']) ).
cnf('48',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,[],['24','47']) ).
cnf('49',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,[],['33','47']) ).
cnf('50',plain,
( 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['48','49']) ).
cnf('51',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['50','46']) ).
cnf('52',plain,
( ~ 'E'(s('0'),f(suc(X)))
| 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X)) ),
inference(cnf_transformation,[],[clause_22]) ).
cnf('53',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3)) ),
inference(resolution,[],['51','52']) ).
cnf('54',plain,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_20]) ).
cnf('55',plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['28','54']) ).
cnf('56',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['24','55']) ).
cnf('57',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,[],['33','55']) ).
cnf('58',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['57','54']) ).
cnf('59',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['56','58']) ).
cnf('60',plain,
( 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['59','54']) ).
cnf('61',plain,
( 'E'(f(Y3),f(suc(Y3)))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['53','60']) ).
cnf('62',plain,
( ~ 'E'(f(X),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'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['45','61']) ).
cnf('63',plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['43','39']) ).
cnf('64',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'(f(X),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)) ),
inference(cnf_transformation,[],[clause_29]) ).
cnf('65',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(suc(suc(X3)))))
| ~ '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)) ),
inference(resolution,[],['63','64']) ).
cnf('66',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_43]) ).
cnf('67',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['66','28']) ).
cnf('68',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,[],['24','67']) ).
cnf('69',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,[],['33','67']) ).
cnf('70',plain,
( 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['68','69']) ).
cnf('71',plain,
( 'E'(s('0'),f(suc(suc(X3))))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['70','66']) ).
cnf('72',plain,
( 'E'(f(Y3),f(suc(suc(suc(Y3)))))
| ~ 'E'(f(Y3),f(suc(suc(Y3))))
| ~ 'E'(s('0'),f(suc(Y3)))
| ~ 'E'(f(Y3),f(suc(Y3)))
| ~ 'E'(s('0'),f(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['65','71']) ).
cnf('73',plain,
( 'E'(f(X),f(suc(suc(suc(X)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['72','61']) ).
cnf('74',plain,
( ~ 'E'(s('0'),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['62','73']) ).
cnf('75',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['74','71']) ).
cnf('76',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['70','66']) ).
cnf('77',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)) ),
inference(cnf_transformation,[],[clause_33]) ).
cnf('78',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3)) ),
inference(resolution,[],['76','77']) ).
cnf('79',plain,
( 'E'(s('0'),f(suc(X3)))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['50','46']) ).
cnf('80',plain,
( 'E'(f(Y3),f(suc(suc(Y3))))
| ~ 'E'(f(Y3),f(suc(Y3)))
| ~ 'E'(s('0'),f(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['78','79']) ).
cnf('81',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['80','61']) ).
cnf('82',plain,
( ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['75','81']) ).
cnf('83',plain,
( ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['82','79']) ).
cnf('84',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['59','54']) ).
cnf('85',plain,
( ~ 'LE'(f(suc(suc(suc(suc(X))))),s('0'))
| 'E'('0',f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_38]) ).
cnf('86',plain,
( 'E'(s('0'),f(suc(suc(suc(suc(X))))))
| 'E'('0',f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['84','85']) ).
cnf('87',plain,
( 'LE'(f(suc(suc(suc(suc(X))))),s('0'))
| 'E'('0',f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['83','86']) ).
cnf('88',plain,
( 'E'('0',f(suc(suc(suc(suc(X))))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['87','85']) ).
cnf('89',plain,
( ~ 'E'('0',f(suc(suc(suc(suc(X))))))
| ~ 'E'(f(X),f(suc(suc(suc(X)))))
| ~ '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)))
| ~ 'E'('0',f(X)) ),
inference(cnf_transformation,[],[clause_14]) ).
cnf('90',plain,
( 'LE'(f(X3),'0')
| ~ 'E'(f(X3),f(suc(suc(suc(X3)))))
| ~ 'E'('0',f(suc(suc(suc(X3)))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['88','89']) ).
cnf('91',plain,
( ~ 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_41]) ).
cnf('92',plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['84','91']) ).
cnf('93',plain,
( 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['83','92']) ).
cnf('94',plain,
( 'E'('0',f(suc(suc(suc(X3)))))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['93','91']) ).
cnf('95',plain,
( ~ 'E'(f(X),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)))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['90','94']) ).
cnf('96',plain,
( 'E'(f(X),f(suc(suc(suc(X)))))
| ~ '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)))
| ~ 'E'('0',f(X)) ),
inference(cnf_transformation,[],[clause_32]) ).
cnf('97',plain,
( ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(suc(suc(X3))))) ),
inference(resolution,[],['95','96']) ).
cnf('98',plain,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_19]) ).
cnf('99',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['84','98']) ).
cnf('100',plain,
( 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['83','99']) ).
cnf('101',plain,
( 'E'('0',f(suc(suc(X3))))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['100','98']) ).
cnf('102',plain,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['97','101']) ).
cnf('103',plain,
( 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['93','91']) ).
cnf('104',plain,
( ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['102','103']) ).
cnf('105',plain,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_50]) ).
cnf('106',plain,
( 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['84','105']) ).
cnf('107',plain,
( 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['83','106']) ).
cnf('108',plain,
( 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['107','105']) ).
cnf('109',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['104','108']) ).
cnf('110',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)))
| ~ 'E'('0',f(X)) ),
inference(cnf_transformation,[],[clause_24]) ).
cnf('111',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(suc(X3))) ),
inference(resolution,[],['109','110']) ).
cnf('112',plain,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_13]) ).
cnf('113',plain,
( 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['84','112']) ).
cnf('114',plain,
( 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['83','113']) ).
cnf('115',plain,
( 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['114','112']) ).
cnf('116',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(simplify,[],['111','115']) ).
cnf('117',plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['100','98']) ).
cnf('118',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['116','117']) ).
cnf('119',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),'0') ),
inference(simplify,[],['118','108']) ).
cnf('120',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(X)) ),
inference(cnf_transformation,[],[clause_23]) ).
cnf('121',plain,
( 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['119','120']) ).
cnf('122',plain,
( ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['121','108']) ).
cnf('123',plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['114','112']) ).
cnf('124',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_25]) ).
cnf('125',plain,
'E'('0',f(z)),
inference(resolution,[],['123','124']) ).
cnf('126',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_25]) ).
cnf('127',plain,
$false,
inference(resolution,[then_simplify],['122','125','126']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO667-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : gkc %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 06:00:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.40
% 0.21/0.40 input clause set summed statistics:
% 0.21/0.40 ----------------------------------
% 0.21/0.40 in_clause_count: 29
% 0.21/0.40 in_rule_clause_count: 29
% 0.21/0.40 in_fact_clause_count: 0
% 0.21/0.40 in_answer_clause_count: 0
% 0.21/0.40 in_ground_clause_count: 1
% 0.21/0.40 in_unit_clause_count: 2
% 0.21/0.40 in_horn_clause_count: 14
% 0.21/0.40 in_pos_clause_count: 1
% 0.21/0.40 in_neg_clause_count: 4
% 0.21/0.40 in_poseq_clause_count: 0
% 0.21/0.40 in_negeq_clause_count: 0
% 0.21/0.40 in_unitposeq_clause_count: 0
% 0.21/0.40 in_chain_clause_count: 0
% 0.21/0.40 in_min_length: 1
% 0.21/0.40 in_max_length: 8
% 0.21/0.40 in_min_depth: 2
% 0.21/0.40 in_max_depth: 6
% 0.21/0.40 in_min_size: 4
% 0.21/0.40 in_max_size: 61
% 0.21/0.40 in_min_vars: 0
% 0.21/0.40 in_max_vars: 1
% 0.21/0.40 in_extaxiom_count: 0
% 0.21/0.40 in_axiom_count: 29
% 0.21/0.40 in_assumption_count: 0
% 0.21/0.40 in_goal_count: 0
% 0.21/0.40 in_neg_goal_count: 0
% 0.21/0.40 in_pos_goal_count: 0
% 0.21/0.40 in_posunit_goal_count: 0
% 0.21/0.40
% 0.21/0.40 auto guide:
% 0.21/0.40 -----------
% 0.21/0.40 {
% 0.21/0.40 "print":1,
% 0.21/0.40 "print_level": 15,
% 0.21/0.40 "max_size": 0,
% 0.21/0.40 "max_depth": 0,
% 0.21/0.40 "max_length": 0,
% 0.21/0.40 "max_dseconds": 0,
% 0.21/0.40 "equality":0,
% 0.21/0.40 "runs":[
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.21/0.40 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.21/0.40 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
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% 0.21/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40
% 0.21/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
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% 0.21/0.40 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.21/0.40 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.21/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40
% 0.21/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.21/0.40
% 0.21/0.40 ]}
% 0.21/0.40
% 0.21/0.40
% 0.21/0.40 **** run 1 fork 0 starts with strategy
% 0.21/0.40 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40
% 0.21/0.40 **** run 2 fork 1 starts with strategy
% 0.21/0.40 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40
% 0.21/0.40 **** run 3 fork 2 starts with strategy
% 0.21/0.40 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40
% 0.21/0.40 **** run 4 fork 3 starts with strategy
% 0.21/0.40 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.41
% 0.21/0.41 **** run 5 fork 4 starts with strategy
% 0.21/0.41 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.41
% 0.21/0.41 **** run 6 fork 5 starts with strategy
% 0.21/0.41 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.41
% 0.21/0.41 **** run 7 fork 6 starts with strategy
% 0.21/0.41 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.41
% 0.21/0.41 **** run 8 fork 7 starts with strategy
% 0.21/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.44
% 0.21/0.44 fork 5: search finished without proof.
% 0.21/0.44
% 0.21/0.44 fork 7: search finished without proof.
% 0.21/0.44
% 0.21/0.44 fork 1: search finished without proof.
% 0.21/0.47
% 0.21/0.47 **** run 16 fork 7 starts with strategy
% 0.21/0.47 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.21/0.47
% 0.21/0.47 **** run 10 fork 1 starts with strategy
% 0.21/0.47 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.47
% 0.21/0.47 **** run 14 fork 5 starts with strategy
% 0.21/0.47 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 result: proof found
% 0.21/0.47 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47
% 0.21/0.47 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.48
% 0.21/0.48 run 4 fork 3 statistics:
% 0.21/0.48 ----------------------------------
% 0.21/0.48 this run seconds: 0.043387
% 0.21/0.48 total seconds: 0.069512
% 0.21/0.48 stat_given_used: 241
% 0.21/0.48 stat_given_used_at_endgame: 0
% 0.21/0.48 stat_given_candidates: 682
% 0.21/0.48 stat_given_candidates_at_endgame: 0
% 0.21/0.48 stat_given_candidates_h: 0
% 0.21/0.48 stat_binres_derived_cl: 1065
% 0.21/0.48 stat_binres_derived_cl_h: 0
% 0.21/0.48 stat_factor_derived_cl: 0
% 0.21/0.48 stat_para_derived_cl: 0
% 0.21/0.48 stat_tautologies_discarded: 56
% 0.21/0.48 stat_forward_subsumed: 0
% 0.21/0.48 stat_derived_cut: 175
% 0.21/0.48 stat_derived_rewritten: 0
% 0.21/0.48 stat_weight_discarded_building: 0
% 0.21/0.48 stat_weight_discarded_cl: 0
% 0.21/0.48 stat_internlimit_discarded_cl: 0
% 0.21/0.48 stat_simplified: 174 simplified 0 derived 0 given
% 0.21/0.48 stat_kept_cl: 1008
% 0.21/0.48 stat_built_cl: 1664
% 0.21/0.48 stat_hyperres_partial_cl: 0
% 0.21/0.48 stat_made_rewriters: 0
% 0.21/0.48 stat_backward_subsumed: 0
% 0.21/0.48 stat_propagated_subsumed: 0
% 0.21/0.48 stat_clsubs_attempted: 7991
% 0.21/0.48 stat_clsubs_fact_groundunit_found: 0
% 0.21/0.48 stat_clsubs_rule_groundunit_found: 1
% 0.21/0.48 stat_clsubs_top_meta_attempted: 92613
% 0.21/0.48 stat_clsubs_top_meta_failed: 84622
% 0.21/0.48 stat_clsubs_top_meta_nonpref_attempted: 92613
% 0.21/0.48 stat_clsubs_top_meta_nonpref_succeeded: 20890
% 0.21/0.48 stat_clsubs_top_meta_pref_attempted: 20890
% 0.21/0.48 stat_clsubs_top_meta_pref1_succeeded: 16597
% 0.21/0.48 stat_clsubs_top_meta_pref2_succeeded: 11668
% 0.21/0.48 stat_clsubs_top_meta_pref3_succeeded: 7991
% 0.21/0.48 stat_clsubs_top_meta_pref_succeeded: 7991
% 0.21/0.48 stat_clsubs_meta_attempted: 38080
% 0.21/0.48 stat_clsubs_meta_failed: 15927
% 0.21/0.48 stat_clsubs_predsymbs_attempted: 0
% 0.21/0.48 stat_clsubs_unit_attempted: 581
% 0.21/0.48 stat_clsubs_full_attempted: 7410
% 0.21/0.48 stat_forwardsubs_attempted: 1009
% 0.21/0.48 stat_lit_hash_added: 99
% 0.21/0.48 stat_lit_hash_computed: 16338
% 0.21/0.48 stat_lit_hash_match_found: 3
% 0.21/0.48 stat_lit_hash_match_miss: 23808
% 0.21/0.48 stat_lit_hash_cut_ok: 175
% 0.21/0.48 stat_lit_strong_cut_ok: 0
% 0.21/0.48 stat_lit_hash_subsume_ok: 0
% 0.21/0.48 clqueue els 10000000 used 1
% 0.21/0.48 clactive els 10000000 used 242
% 0.21/0.48 clactivesubsume els 10000000 used 1435
% 0.21/0.48 queue_termbuf els 200000000 used 227524
% 0.21/0.48 hyper_termbuf els 100000000 used 1
% 0.21/0.48 active_termbuf els 100000000 used 34181
% 0.21/0.48 varstack els 5000 last used 1
% 0.21/0.48 given_termbuf els 10000000 last used 1
% 0.21/0.48 simplified_termbuf els 10000000 last used 1
% 0.21/0.48 derived_termbuf els 10000000 last used 28
% 0.21/0.48 wr_mallocs: 1110
% 0.21/0.48 wr_callocs: 21
% 0.21/0.48 wr_reallocs: 63
% 0.21/0.48 wr_frees: 2
% 0.21/0.48 wr_malloc_bytes: 4162623316
% 0.21/0.48 wr_calloc_bytes: 112065536
% 0.21/0.48 wr_realloc_bytes: 70880
% 0.21/0.48 wr_realloc_freebytes: 0
% 0.21/0.48 ----------------------------------
%------------------------------------------------------------------------------