TSTP Solution File: SYO685-1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYO685-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n026.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 04:37:40 EDT 2023
% Result : Unsatisfiable 6.68s 1.55s
% Output : CNFRefutation 6.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_183)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X))))
| ~ 'E'(s(s(s(s('0')))),f(suc(suc(Y))))
| ~ 'E'(s(s(s(s('0')))),f(suc(X)))
| ~ 'E'(s(s(s(s('0')))),f(suc(Y)))
| ~ 'E'(s(s(s(s('0')))),f(X))
| ~ 'E'(s(s(s(s('0')))),f(Y))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y)) ),
inference(cnf_transformation,[],[clause_183]) ).
cnf('2',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X))))
| ~ 'E'(s(s(s(s('0')))),f(suc(X)))
| ~ 'E'(s(s(s(s('0')))),f(X))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['1']) ).
cnf('3',plain,
( ~ 'LE'(f(suc(suc(X))),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s(s('0'))))) ),
inference(cnf_transformation,[],[clause_93]) ).
cnf('4',plain,
'LE'(f(X),s(s(s(s(s('0')))))),
inference(cnf_transformation,[],[clause_53]) ).
cnf('5',plain,
( 'E'(s(s(s(s('0')))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s(s('0'))))) ),
inference(resolution,[],['3','4']) ).
cnf('6',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(X3)))
| ~ 'E'(s(s(s(s('0')))),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s(s(s('0'))))) ),
inference(resolution,[],['2','5']) ).
cnf('7',plain,
( ~ 'LE'(f(suc(X)),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(suc(X)))
| 'LE'(f(X),s(s(s(s('0'))))) ),
inference(cnf_transformation,[],[clause_191]) ).
cnf('8',plain,
( 'E'(s(s(s(s('0')))),f(suc(X3)))
| 'LE'(f(X3),s(s(s(s('0'))))) ),
inference(resolution,[],['7','4']) ).
cnf('9',plain,
( ~ 'E'(s(s(s(s('0')))),f(X))
| 'LE'(f(X),s(s(s(s('0')))))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['6','8']) ).
cnf('10',plain,
( ~ 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(cnf_transformation,[],[clause_52]) ).
cnf('11',plain,
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(X0))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(cnf_transformation,[],[clause_113]) ).
cnf('12',plain,
'LE'(f(X0),s(s(s(s(s('0')))))),
inference(cnf_transformation,[],[clause_53]) ).
cnf('13',plain,
( 'E'(s(s(s(s('0')))),f(X))
| 'LE'(f(X),s(s(s(s('0'))))) ),
inference(simplify,[],['11','12']) ).
cnf('14',plain,
( 'E'(s(s(s(s('0')))),f(suc(suc(X))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['10','13']) ).
cnf('15',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['9','14']) ).
cnf('16',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(X)))
| ~ 'E'(s(s(s(s('0')))),f(suc(Y)))
| ~ 'E'(s(s(s(s('0')))),f(X))
| ~ 'E'(s(s(s(s('0')))),f(Y))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y)) ),
inference(cnf_transformation,[],[clause_34]) ).
cnf('17',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(X)))
| ~ 'E'(s(s(s(s('0')))),f(X))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['16']) ).
cnf('18',plain,
( 'E'(s(s(s(s('0')))),f(suc(X)))
| 'LE'(f(X),s(s(s(s('0'))))) ),
inference(resolution,[],['7','4']) ).
cnf('19',plain,
( ~ 'E'(s(s(s(s('0')))),f(X))
| 'LE'(f(X),s(s(s(s('0')))))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['17','18']) ).
cnf('20',plain,
( 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['19','14']) ).
cnf('21',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(suc(X))))
| ~ 'E'(s(s(s(s('0')))),f(suc(X)))
| ~ 'E'(s(s(s(s('0')))),f(X))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_79]) ).
cnf('22',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(X3)))
| ~ 'E'(s(s(s(s('0')))),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s(s(s('0'))))) ),
inference(resolution,[],['21','5']) ).
cnf('23',plain,
( ~ 'E'(s(s(s(s('0')))),f(X))
| 'LE'(f(X),s(s(s(s('0')))))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['22','8']) ).
cnf('24',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['23','14']) ).
cnf('25',plain,
( ~ 'E'(s(s(s(s('0')))),f(suc(X)))
| ~ 'E'(s(s(s(s('0')))),f(X))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_130]) ).
cnf('26',plain,
( ~ 'E'(s(s(s(s('0')))),f(X))
| 'LE'(f(X),s(s(s(s('0')))))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['25','18']) ).
cnf('27',plain,
( 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['26','14']) ).
cnf('28',plain,
( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['27','10']) ).
cnf('29',plain,
( 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['24','28']) ).
cnf('30',plain,
( 'E'(s(s(s('0'))),f(suc(suc(X))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['29','10']) ).
cnf('31',plain,
( 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['20','30']) ).
cnf('32',plain,
( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['31','10']) ).
cnf('33',plain,
( 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['15','32']) ).
cnf('34',plain,
( 'LE'(f(suc(suc(X))),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['33','30']) ).
cnf('35',plain,
( 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['34','10']) ).
cnf('36',plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_190]) ).
cnf('37',plain,
( 'LE'(f(X3),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['35','36']) ).
cnf('38',plain,
( ~ 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0')))) ),
inference(cnf_transformation,[],[clause_111]) ).
cnf('39',plain,
( 'E'(s(s(s(s('0')))),f(suc(X)))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['13','38']) ).
cnf('40',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0'))))
| ~ iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['9','39']) ).
cnf('41',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0'))))
| ~ iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['19','39']) ).
cnf('42',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['23','39']) ).
cnf('43',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['26','39']) ).
cnf('44',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['43','38']) ).
cnf('45',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['42','44']) ).
cnf('46',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['45','38']) ).
cnf('47',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['41','46']) ).
cnf('48',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['47','38']) ).
cnf('49',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0'))))
| ~ iLEQ(suc(suc(X)),suc(suc(X))) ),
inference(resolution,[],['40','48']) ).
cnf('50',plain,
( 'LE'(f(suc(X)),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['49','46']) ).
cnf('51',plain,
( 'E'(s(s(s('0'))),f(suc(X3)))
| 'LE'(f(X3),s(s(s('0')))) ),
inference(resolution,[],['50','38']) ).
cnf('52',plain,
( ~ 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['37','51']) ).
cnf('53',plain,
( ~ 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0')))) ),
inference(cnf_transformation,[],[clause_95]) ).
cnf('54',plain,
( 'E'(s(s(s(s('0')))),f(X))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['13','53']) ).
cnf('55',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['9','54']) ).
cnf('56',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['19','54']) ).
cnf('57',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['23','54']) ).
cnf('58',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['26','54']) ).
cnf('59',plain,
( 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['58','53']) ).
cnf('60',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['57','59']) ).
cnf('61',plain,
( 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['60','53']) ).
cnf('62',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X))) ),
inference(resolution,[],['56','61']) ).
cnf('63',plain,
( 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X))) ),
inference(resolution,[],['62','53']) ).
cnf('64',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['55','63']) ).
cnf('65',plain,
( 'LE'(f(X),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['64','61']) ).
cnf('66',plain,
( 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['65','53']) ).
cnf('67',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_97]) ).
cnf('68',plain,
( 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['66','67']) ).
cnf('69',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'LE'(f(suc(suc(X))),s(s(s('0'))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['52','68']) ).
cnf('70',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['50','38']) ).
cnf('71',plain,
( ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(X))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_28]) ).
cnf('72',plain,
( 'LE'(f(X3),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(X3))
| 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['70','71']) ).
cnf('73',plain,
( 'E'(s(s(s('0'))),f(X3))
| 'LE'(f(X3),s(s(s('0')))) ),
inference(resolution,[],['65','53']) ).
cnf('74',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['72','73']) ).
cnf('75',plain,
( 'LE'(f(suc(suc(X))),s(s(s('0'))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['69','74']) ).
cnf('76',plain,
( ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(suc(Y)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_49]) ).
cnf('77',plain,
( ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(X))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['76']) ).
cnf('78',plain,
( 'LE'(f(X3),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(X3))
| 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['70','77']) ).
cnf('79',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['78','73']) ).
cnf('80',plain,
( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| 'LE'(f(suc(suc(X))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['75','79']) ).
cnf('81',plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(Y))))
| ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(suc(Y)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_73]) ).
cnf('82',plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['81']) ).
cnf('83',plain,
( 'LE'(f(X3),s(s(s('0'))))
| ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['35','82']) ).
cnf('84',plain,
( ~ 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['83','51']) ).
cnf('85',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['84','68']) ).
cnf('86',plain,
( ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['80','85']) ).
cnf('87',plain,
( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['75','67']) ).
cnf('88',plain,
( 'LE'(f(suc(suc(X))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['86','87']) ).
cnf('89',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['88','67']) ).
cnf('90',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_40]) ).
cnf('91',plain,
( 'LE'(f(X3),s(s('0')))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['89','90']) ).
cnf('92',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_86]) ).
cnf('93',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['66','92']) ).
cnf('94',plain,
( ~ 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['52','93']) ).
cnf('95',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['94','74']) ).
cnf('96',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['95','79']) ).
cnf('97',plain,
( ~ 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['84','93']) ).
cnf('98',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['96','97']) ).
cnf('99',plain,
( 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['95','92']) ).
cnf('100',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['98','99']) ).
cnf('101',plain,
( 'E'(s(s('0')),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['100','92']) ).
cnf('102',plain,
( ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['91','101']) ).
cnf('103',plain,
( ~ 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(cnf_transformation,[],[clause_125]) ).
cnf('104',plain,
( 'E'(s(s(s('0'))),f(X))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['66','103']) ).
cnf('105',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['52','104']) ).
cnf('106',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['74','103']) ).
cnf('107',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['105','106']) ).
cnf('108',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X))) ),
inference(resolution,[],['107','79']) ).
cnf('109',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['84','104']) ).
cnf('110',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['108','109']) ).
cnf('111',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['107','103']) ).
cnf('112',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['110','111']) ).
cnf('113',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['112','103']) ).
cnf('114',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_116]) ).
cnf('115',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['113','114']) ).
cnf('116',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['102','115']) ).
cnf('117',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['100','92']) ).
cnf('118',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_143]) ).
cnf('119',plain,
( 'LE'(f(X3),s(s('0')))
| ~ 'E'(s(s('0')),f(X3))
| 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['117','118']) ).
cnf('120',plain,
( 'E'(s(s('0')),f(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['112','103']) ).
cnf('121',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['119','120']) ).
cnf('122',plain,
( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['116','121']) ).
cnf('123',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y)) ),
inference(cnf_transformation,[],[clause_115]) ).
cnf('124',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['123']) ).
cnf('125',plain,
( 'LE'(f(X3),s(s('0')))
| ~ 'E'(s(s('0')),f(X3))
| 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['117','124']) ).
cnf('126',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['125','120']) ).
cnf('127',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,[],['122','126']) ).
cnf('128',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(Y))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y)) ),
inference(cnf_transformation,[],[clause_74]) ).
cnf('129',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['128']) ).
cnf('130',plain,
( 'LE'(f(X3),s(s('0')))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['89','129']) ).
cnf('131',plain,
( ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['130','101']) ).
cnf('132',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['131','115']) ).
cnf('133',plain,
( ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['127','132']) ).
cnf('134',plain,
( 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['133','122']) ).
cnf('135',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['134','114']) ).
cnf('136',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_61]) ).
cnf('137',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['135','136']) ).
cnf('138',plain,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_30]) ).
cnf('139',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['113','138']) ).
cnf('140',plain,
( ~ 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(suc(X)),s(s('0')))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['102','139']) ).
cnf('141',plain,
( 'LE'(f(suc(X)),s(s('0')))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['140','121']) ).
cnf('142',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,[],['141','126']) ).
cnf('143',plain,
( ~ 'E'(f(suc(X)),f(suc(suc(X))))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['131','139']) ).
cnf('144',plain,
( ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['142','143']) ).
cnf('145',plain,
( iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['141','138']) ).
cnf('146',plain,
( 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['144','145']) ).
cnf('147',plain,
( 'E'(s('0'),f(suc(X3)))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['146','138']) ).
cnf('148',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['137','147']) ).
cnf('149',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['146','138']) ).
cnf('150',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_204]) ).
cnf('151',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['149','150']) ).
cnf('152',plain,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_184]) ).
cnf('153',plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['113','152']) ).
cnf('154',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['102','153']) ).
cnf('155',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['121','152']) ).
cnf('156',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['154','155']) ).
cnf('157',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,[],['156','126']) ).
cnf('158',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['131','153']) ).
cnf('159',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['157','158']) ).
cnf('160',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['156','152']) ).
cnf('161',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['159','160']) ).
cnf('162',plain,
( 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['161','152']) ).
cnf('163',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['151','162']) ).
cnf('164',plain,
( ~ 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0'))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['148','163']) ).
cnf('165',plain,
( 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['164','162']) ).
cnf('166',plain,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_87]) ).
cnf('167',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,[],['166']) ).
cnf('168',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['149','167']) ).
cnf('169',plain,
( 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['168','162']) ).
cnf('170',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['165','169']) ).
cnf('171',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['170','148']) ).
cnf('172',plain,
( 'LE'(f(Y3),s('0'))
| iLEQ(suc(Y3),suc(Y3)) ),
inference(simplify,[],['171','162']) ).
cnf('173',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_175]) ).
cnf('174',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['173']) ).
cnf('175',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['135','174']) ).
cnf('176',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['175','147']) ).
cnf('177',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['170','176']) ).
cnf('178',plain,
( ~ iLEQ(suc(Y3),suc(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['177','162']) ).
cnf('179',plain,
'LE'(f(X),s('0')),
inference(simplify,[],['172','178']) ).
cnf('180',plain,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_11]) ).
cnf('181',plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['179','180']) ).
cnf('182',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(cnf_transformation,[],[clause_44]) ).
cnf('183',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,[],['181','182']) ).
cnf('184',plain,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_168]) ).
cnf('185',plain,
( 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['179','184']) ).
cnf('186',plain,
( ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['183','185']) ).
cnf('187',plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['179','184']) ).
cnf('188',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_19]) ).
cnf('189',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['187','188']) ).
cnf('190',plain,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_173]) ).
cnf('191',plain,
( 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['179','190']) ).
cnf('192',plain,
( 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['189','191']) ).
cnf('193',plain,
( iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['186','192']) ).
cnf('194',plain,
( iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['193','191']) ).
cnf('195',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(Y),suc(X))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y)) ),
inference(cnf_transformation,[],[clause_169]) ).
cnf('196',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['195']) ).
cnf('197',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['194','196']) ).
cnf('198',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['197','185']) ).
cnf('199',plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['179','190']) ).
cnf('200',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_96]) ).
cnf('201',plain,
'E'('0',f(z)),
inference(resolution,[],['199','200']) ).
cnf('202',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_96]) ).
cnf('203',plain,
'E'(f(z),f(suc(z))),
inference(resolution,[then_simplify],['198','201','202']) ).
cnf('204',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y)) ),
inference(cnf_transformation,[],[clause_105]) ).
cnf('205',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['204']) ).
cnf('206',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,[],['181','205']) ).
cnf('207',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['206','185']) ).
cnf('208',plain,
'E'('0',f(z)),
inference(resolution,[],['199','200']) ).
cnf('209',plain,
iLEQ(suc(z),suc(z)),
inference(resolution,[then_simplify],['203','186','208','202']) ).
cnf('210',plain,
$false,
inference(resolution,[then_simplify],['203','207','209','208','202']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO685-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : gkc %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 05:34:48 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.44
% 0.20/0.44 input clause set summed statistics:
% 0.20/0.44 ----------------------------------
% 0.20/0.44 in_clause_count: 47
% 0.20/0.44 in_rule_clause_count: 47
% 0.20/0.44 in_fact_clause_count: 0
% 0.20/0.44 in_answer_clause_count: 0
% 0.20/0.44 in_ground_clause_count: 1
% 0.20/0.44 in_unit_clause_count: 2
% 0.20/0.44 in_horn_clause_count: 22
% 0.20/0.44 in_pos_clause_count: 1
% 0.20/0.44 in_neg_clause_count: 6
% 0.20/0.44 in_poseq_clause_count: 0
% 0.20/0.44 in_negeq_clause_count: 0
% 0.20/0.44 in_unitposeq_clause_count: 0
% 0.20/0.44 in_chain_clause_count: 0
% 0.20/0.44 in_min_length: 1
% 0.20/0.44 in_max_length: 9
% 0.20/0.44 in_min_depth: 2
% 0.20/0.44 in_max_depth: 6
% 0.20/0.44 in_min_size: 4
% 0.20/0.44 in_max_size: 71
% 0.20/0.44 in_min_vars: 0
% 0.20/0.44 in_max_vars: 2
% 0.20/0.44 in_extaxiom_count: 0
% 0.20/0.44 in_axiom_count: 47
% 0.20/0.44 in_assumption_count: 0
% 0.20/0.44 in_goal_count: 0
% 0.20/0.44 in_neg_goal_count: 0
% 0.20/0.44 in_pos_goal_count: 0
% 0.20/0.44 in_posunit_goal_count: 0
% 0.20/0.44
% 0.20/0.44 auto guide:
% 0.20/0.44 -----------
% 0.20/0.44 {
% 0.20/0.44 "print":1,
% 0.20/0.44 "print_level": 15,
% 0.20/0.44 "max_size": 0,
% 0.20/0.44 "max_depth": 0,
% 0.20/0.44 "max_length": 0,
% 0.20/0.44 "max_dseconds": 0,
% 0.20/0.44 "equality":0,
% 0.20/0.44 "runs":[
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.44 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.44 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.44 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.44 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.44 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.44 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.44 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.44 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.44 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.44 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.44 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.44
% 0.20/0.44 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.44 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
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% 5.14/1.09 fork 3: search finished without proof.
% 5.14/1.10
% 5.14/1.10 **** run 68 fork 3 starts with strategy
% 5.14/1.10 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 6.68/1.55
% 6.68/1.55
% 6.68/1.55 result: proof found
% 6.68/1.55 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.68/1.55 by run 54 fork 5 strategy {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 6.68/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.68/1.55
% 6.68/1.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.68/1.55
% 6.68/1.55 run 54 fork 5 statistics:
% 6.68/1.55 ----------------------------------
% 6.68/1.55 this run seconds: 0.155634
% 6.68/1.55 total seconds: 0.591728
% 6.68/1.55 stat_given_used: 444
% 6.68/1.55 stat_given_used_at_endgame: 0
% 6.68/1.55 stat_given_candidates: 2260
% 6.68/1.55 stat_given_candidates_at_endgame: 0
% 6.68/1.55 stat_given_candidates_h: 0
% 6.68/1.55 stat_binres_derived_cl: 6962
% 6.68/1.55 stat_binres_derived_cl_h: 0
% 6.68/1.55 stat_factor_derived_cl: 144
% 6.68/1.55 stat_para_derived_cl: 0
% 6.68/1.55 stat_tautologies_discarded: 1184
% 6.68/1.55 stat_forward_subsumed: 0
% 6.68/1.55 stat_derived_cut: 197
% 6.68/1.55 stat_derived_rewritten: 0
% 6.68/1.55 stat_weight_discarded_building: 0
% 6.68/1.55 stat_weight_discarded_cl: 0
% 6.68/1.55 stat_internlimit_discarded_cl: 0
% 6.68/1.55 stat_simplified: 194 simplified 0 derived 0 given
% 6.68/1.55 stat_kept_cl: 5921
% 6.68/1.55 stat_built_cl: 7003
% 6.68/1.55 stat_hyperres_partial_cl: 0
% 6.68/1.55 stat_made_rewriters: 0
% 6.68/1.55 stat_backward_subsumed: 0
% 6.68/1.55 stat_propagated_subsumed: 0
% 6.68/1.55 stat_clsubs_attempted: 36717
% 6.68/1.55 stat_clsubs_fact_groundunit_found: 0
% 6.68/1.55 stat_clsubs_rule_groundunit_found: 1
% 6.68/1.55 stat_clsubs_top_meta_attempted: 423280
% 6.68/1.55 stat_clsubs_top_meta_failed: 386563
% 6.68/1.55 stat_clsubs_top_meta_nonpref_attempted: 423280
% 6.68/1.55 stat_clsubs_top_meta_nonpref_succeeded: 73480
% 6.68/1.55 stat_clsubs_top_meta_pref_attempted: 73480
% 6.68/1.55 stat_clsubs_top_meta_pref1_succeeded: 62524
% 6.68/1.55 stat_clsubs_top_meta_pref2_succeeded: 45396
% 6.68/1.55 stat_clsubs_top_meta_pref3_succeeded: 36717
% 6.68/1.55 stat_clsubs_top_meta_pref_succeeded: 36717
% 6.68/1.55 stat_clsubs_meta_attempted: 177266
% 6.68/1.55 stat_clsubs_meta_failed: 100163
% 6.68/1.55 stat_clsubs_predsymbs_attempted: 0
% 6.68/1.55 stat_clsubs_unit_attempted: 26
% 6.68/1.55 stat_clsubs_full_attempted: 36691
% 6.68/1.55 stat_forwardsubs_attempted: 5922
% 6.68/1.55 stat_lit_hash_added: 64
% 6.68/1.55 stat_lit_hash_computed: 88264
% 6.68/1.55 stat_lit_hash_match_found: 9
% 6.68/1.55 stat_lit_hash_match_miss: 132022
% 6.68/1.55 stat_lit_hash_cut_ok: 200
% 6.68/1.55 stat_lit_strong_cut_ok: 0
% 6.68/1.55 stat_lit_hash_subsume_ok: 0
% 6.68/1.55 clqueue els 10000000 used 1
% 6.68/1.55 clactive els 10000000 used 445
% 6.68/1.55 clactivesubsume els 10000000 used 2647
% 6.68/1.55 queue_termbuf els 200000000 used 1344518
% 6.68/1.55 hyper_termbuf els 100000000 used 1
% 6.68/1.55 active_termbuf els 100000000 used 61651
% 6.68/1.55 varstack els 5000 last used 1
% 6.68/1.55 given_termbuf els 10000000 last used 1
% 6.68/1.55 simplified_termbuf els 10000000 last used 1
% 6.68/1.55 derived_termbuf els 10000000 last used 66
% 6.68/1.55 wr_mallocs: 2988
% 6.68/1.55 wr_callocs: 21
% 6.68/1.55 wr_reallocs: 344
% 6.68/1.55 wr_frees: 2
% 6.68/1.55 wr_malloc_bytes: 4162705684
% 6.68/1.55 wr_calloc_bytes: 112065536
% 6.68/1.55 wr_realloc_bytes: 214712
% 6.68/1.55 wr_realloc_freebytes: 0
% 6.68/1.55 ----------------------------------
%------------------------------------------------------------------------------