TSTP Solution File: SYO682-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYO682-1 : 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 04:37:39 EDT 2023
% Result : Unsatisfiable 49.75s 6.91s
% Output : CNFRefutation 49.75s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_190)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(Y))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(Z))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(U))))
| ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(suc(Y)))
| ~ 'E'(s(s(s('0'))),f(suc(Z)))
| ~ 'E'(s(s(s('0'))),f(suc(U)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| ~ 'E'(s(s(s('0'))),f(Z))
| ~ 'E'(s(s(s('0'))),f(U))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(f(U),f(suc(U)))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(U))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_190]) ).
cnf('2',plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(X))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(Y))))
| ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(suc(Y)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(factorization,[],['1']) ).
cnf('3',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,[],['2']) ).
cnf('4',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_1737]) ).
cnf('5',plain,
'LE'(f(X),s(s(s(s('0'))))),
inference(cnf_transformation,[],[clause_2205]) ).
cnf('6',plain,
( 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['4','5']) ).
cnf('7',plain,
( ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s(s('0')))) ),
inference(resolution,[],['3','6']) ).
cnf('8',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_1426]) ).
cnf('9',plain,
( 'E'(s(s(s('0'))),f(suc(X3)))
| 'LE'(f(X3),s(s(s('0')))) ),
inference(resolution,[],['8','5']) ).
cnf('10',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,[],['7','9']) ).
cnf('11',plain,
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X0))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(cnf_transformation,[],[clause_777]) ).
cnf('12',plain,
'LE'(f(X0),s(s(s(s('0'))))),
inference(cnf_transformation,[],[clause_2205]) ).
cnf('13',plain,
( 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0')))) ),
inference(simplify,[],['11','12']) ).
cnf('14',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_679]) ).
cnf('15',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,[],['13','14']) ).
cnf('16',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,[],['10','15']) ).
cnf('17',plain,
( ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(suc(Y)))
| ~ 'E'(s(s(s('0'))),f(suc(Z)))
| ~ 'E'(s(s(s('0'))),f(suc(U)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| ~ 'E'(s(s(s('0'))),f(Z))
| ~ 'E'(s(s(s('0'))),f(U))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| 'E'(f(U),f(suc(U)))
| ~ iLEQ(suc(X),suc(U))
| ~ iLEQ(suc(Z),suc(Y))
| ~ iLEQ(suc(U),suc(Z)) ),
inference(cnf_transformation,[],[clause_2897]) ).
cnf('18',plain,
( ~ 'E'(s(s(s('0'))),f(suc(X)))
| ~ 'E'(s(s(s('0'))),f(suc(Y)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(factorization,[],['17']) ).
cnf('19',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,[],['18']) ).
cnf('20',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['8','5']) ).
cnf('21',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,[],['19','20']) ).
cnf('22',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,[],['21','15']) ).
cnf('23',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_2710]) ).
cnf('24',plain,
( ~ 'E'(s(s(s('0'))),f(suc(X3)))
| ~ 'E'(s(s(s('0'))),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s(s('0')))) ),
inference(resolution,[],['23','6']) ).
cnf('25',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,[],['24','9']) ).
cnf('26',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,[],['25','15']) ).
cnf('27',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_1131]) ).
cnf('28',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,[],['27','20']) ).
cnf('29',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,[],['28','15']) ).
cnf('30',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,[],['26','29']) ).
cnf('31',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,[],['30','14']) ).
cnf('32',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,[],['22','31']) ).
cnf('33',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,[],['16','32']) ).
cnf('34',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,[],['33','31']) ).
cnf('35',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['34','14']) ).
cnf('36',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_1659]) ).
cnf('37',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,[],['35','36']) ).
cnf('38',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_988]) ).
cnf('39',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['13','38']) ).
cnf('40',plain,
( ~ 'E'(f(suc(X)),f(suc(suc(X))))
| 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['10','39']) ).
cnf('41',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['21','39']) ).
cnf('42',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,[],['25','39']) ).
cnf('43',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(f(suc(X)),f(suc(suc(X))))
| 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['28','39']) ).
cnf('44',plain,
( 'E'(f(suc(X)),f(suc(suc(X))))
| 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['43','38']) ).
cnf('45',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,[],['42','44']) ).
cnf('46',plain,
( 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['45','38']) ).
cnf('47',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,[],['41','46']) ).
cnf('48',plain,
( 'E'(f(suc(X)),f(suc(suc(X))))
| 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['47','38']) ).
cnf('49',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['40','48']) ).
cnf('50',plain,
( 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['49','46']) ).
cnf('51',plain,
( 'E'(s(s('0')),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['50','38']) ).
cnf('52',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,[],['37','51']) ).
cnf('53',plain,
( ~ 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(cnf_transformation,[],[clause_2414]) ).
cnf('54',plain,
( 'E'(s(s(s('0'))),f(X))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['13','53']) ).
cnf('55',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['10','54']) ).
cnf('56',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['21','54']) ).
cnf('57',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,[],['25','54']) ).
cnf('58',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['28','54']) ).
cnf('59',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,[],['58','53']) ).
cnf('60',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,[],['57','59']) ).
cnf('61',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['60','53']) ).
cnf('62',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,[],['56','61']) ).
cnf('63',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X))) ),
inference(resolution,[],['62','53']) ).
cnf('64',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['55','63']) ).
cnf('65',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['64','61']) ).
cnf('66',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['65','53']) ).
cnf('67',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_1799]) ).
cnf('68',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['66','67']) ).
cnf('69',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,[],['52','68']) ).
cnf('70',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['50','38']) ).
cnf('71',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_1537]) ).
cnf('72',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,[],['70','71']) ).
cnf('73',plain,
( 'E'(s(s('0')),f(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['65','53']) ).
cnf('74',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['72','73']) ).
cnf('75',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,[],['69','74']) ).
cnf('76',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(suc(Z)))
| ~ 'E'(s(s('0')),f(suc(U)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(s(s('0')),f(Z))
| ~ 'E'(s(s('0')),f(U))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| 'E'(f(U),f(suc(U)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(Y))
| ~ iLEQ(suc(U),suc(Z)) ),
inference(cnf_transformation,[],[clause_2095]) ).
cnf('77',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))
| ~ iLEQ(suc(Y),suc(Y)) ),
inference(factorization,[],['76']) ).
cnf('78',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,[],['77']) ).
cnf('79',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,[],['70','78']) ).
cnf('80',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['79','73']) ).
cnf('81',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,[],['75','80']) ).
cnf('82',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(Y))))
| ~ 'E'(s(s('0')),f(suc(suc(Z))))
| ~ 'E'(s(s('0')),f(suc(suc(U))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(suc(Z)))
| ~ 'E'(s(s('0')),f(suc(U)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(s(s('0')),f(Z))
| ~ 'E'(s(s('0')),f(U))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(f(U),f(suc(U)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(Y))
| ~ iLEQ(suc(U),suc(Z)) ),
inference(cnf_transformation,[],[clause_2044]) ).
cnf('83',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))
| ~ iLEQ(suc(Y),suc(Y)) ),
inference(factorization,[],['82']) ).
cnf('84',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,[],['83']) ).
cnf('85',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,[],['35','84']) ).
cnf('86',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,[],['85','51']) ).
cnf('87',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,[],['86','68']) ).
cnf('88',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,[],['81','87']) ).
cnf('89',plain,
( 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['88','75']) ).
cnf('90',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['89','67']) ).
cnf('91',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_491]) ).
cnf('92',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,[],['90','91']) ).
cnf('93',plain,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_2463]) ).
cnf('94',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['66','93']) ).
cnf('95',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,[],['52','94']) ).
cnf('96',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,[],['95','74']) ).
cnf('97',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,[],['96','80']) ).
cnf('98',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,[],['86','94']) ).
cnf('99',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,[],['97','98']) ).
cnf('100',plain,
( iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['96','93']) ).
cnf('101',plain,
( 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['99','100']) ).
cnf('102',plain,
( 'E'(s('0'),f(suc(X3)))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['101','93']) ).
cnf('103',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['92','102']) ).
cnf('104',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['101','93']) ).
cnf('105',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_2240]) ).
cnf('106',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['104','105']) ).
cnf('107',plain,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_1914]) ).
cnf('108',plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['66','107']) ).
cnf('109',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,[],['52','108']) ).
cnf('110',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['74','107']) ).
cnf('111',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['109','110']) ).
cnf('112',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,[],['111','80']) ).
cnf('113',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,[],['86','108']) ).
cnf('114',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['112','113']) ).
cnf('115',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['111','107']) ).
cnf('116',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['114','115']) ).
cnf('117',plain,
( 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['116','107']) ).
cnf('118',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['106','117']) ).
cnf('119',plain,
( ~ 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0'))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['103','118']) ).
cnf('120',plain,
( 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['119','117']) ).
cnf('121',plain,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(Z)))
| ~ 'E'(s('0'),f(suc(U)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| 'E'(f(U),f(suc(U)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(Z))
| ~ 'E'(s('0'),f(U))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(U))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_2899]) ).
cnf('122',plain,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ iLEQ(suc(X),suc(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(factorization,[],['121']) ).
cnf('123',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,[],['122']) ).
cnf('124',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['104','123']) ).
cnf('125',plain,
( 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['124','117']) ).
cnf('126',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['120','125']) ).
cnf('127',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['126','103']) ).
cnf('128',plain,
( 'LE'(f(Y3),s('0'))
| iLEQ(suc(Y3),suc(Y3)) ),
inference(simplify,[],['127','117']) ).
cnf('129',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| ~ 'E'(s('0'),f(suc(suc(Z))))
| ~ 'E'(s('0'),f(suc(suc(U))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(Z)))
| ~ 'E'(s('0'),f(suc(U)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(f(U),f(suc(U)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(Z))
| ~ 'E'(s('0'),f(U))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(U))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_1275]) ).
cnf('130',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ iLEQ(suc(X),suc(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(factorization,[],['129']) ).
cnf('131',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,[],['130']) ).
cnf('132',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,[],['90','131']) ).
cnf('133',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['132','102']) ).
cnf('134',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['126','133']) ).
cnf('135',plain,
( ~ iLEQ(suc(Y3),suc(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['134','117']) ).
cnf('136',plain,
'LE'(f(X),s('0')),
inference(simplify,[],['128','135']) ).
cnf('137',plain,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_2548]) ).
cnf('138',plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['136','137']) ).
cnf('139',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_2217]) ).
cnf('140',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,[],['138','139']) ).
cnf('141',plain,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_2704]) ).
cnf('142',plain,
( 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['136','141']) ).
cnf('143',plain,
( ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['140','142']) ).
cnf('144',plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['136','141']) ).
cnf('145',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_2902]) ).
cnf('146',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['144','145']) ).
cnf('147',plain,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_165]) ).
cnf('148',plain,
( 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['136','147']) ).
cnf('149',plain,
( 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['146','148']) ).
cnf('150',plain,
( iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['143','149']) ).
cnf('151',plain,
( iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['150','148']) ).
cnf('152',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| 'E'(f(U),f(suc(U)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(suc(U)))
| ~ iLEQ(suc(X),suc(Y))
| ~ iLEQ(suc(Y),suc(Z))
| ~ iLEQ(suc(Z),suc(U))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(U)) ),
inference(cnf_transformation,[],[clause_2160]) ).
cnf('153',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))
| ~ iLEQ(suc(Y),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y)) ),
inference(factorization,[],['152']) ).
cnf('154',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['153']) ).
cnf('155',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['151','154']) ).
cnf('156',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['155','142']) ).
cnf('157',plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['136','147']) ).
cnf('158',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_1450]) ).
cnf('159',plain,
'E'('0',f(z)),
inference(resolution,[],['157','158']) ).
cnf('160',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_1450]) ).
cnf('161',plain,
'E'(f(z),f(suc(z))),
inference(resolution,[then_simplify],['156','159','160']) ).
cnf('162',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'('0',f(suc(suc(U))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(f(U),f(suc(U)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(Z)))
| ~ 'E'('0',f(suc(U)))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(U))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z))
| ~ 'E'('0',f(U)) ),
inference(cnf_transformation,[],[clause_2749]) ).
cnf('163',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Y),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y)) ),
inference(factorization,[],['162']) ).
cnf('164',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,[],['163']) ).
cnf('165',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,[],['138','164']) ).
cnf('166',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['165','142']) ).
cnf('167',plain,
'E'('0',f(z)),
inference(resolution,[],['157','158']) ).
cnf('168',plain,
iLEQ(suc(z),suc(z)),
inference(resolution,[then_simplify],['161','143','167','160']) ).
cnf('169',plain,
$false,
inference(resolution,[then_simplify],['161','166','168','167','160']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO682-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : gkc %s
% 0.18/0.34 % Computer : n026.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sat Aug 26 03:55:18 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.20/0.43
% 0.20/0.43 input clause set summed statistics:
% 0.20/0.43 ----------------------------------
% 0.20/0.43 in_clause_count: 86
% 0.20/0.43 in_rule_clause_count: 86
% 0.20/0.43 in_fact_clause_count: 0
% 0.20/0.43 in_answer_clause_count: 0
% 0.20/0.43 in_ground_clause_count: 1
% 0.20/0.43 in_unit_clause_count: 2
% 0.20/0.43 in_horn_clause_count: 26
% 0.20/0.43 in_pos_clause_count: 1
% 0.20/0.43 in_neg_clause_count: 5
% 0.20/0.43 in_poseq_clause_count: 0
% 0.20/0.43 in_negeq_clause_count: 0
% 0.20/0.43 in_unitposeq_clause_count: 0
% 0.20/0.43 in_chain_clause_count: 0
% 0.20/0.43 in_min_length: 1
% 0.20/0.43 in_max_length: 19
% 0.20/0.43 in_min_depth: 2
% 0.20/0.43 in_max_depth: 5
% 0.20/0.43 in_min_size: 4
% 0.20/0.43 in_max_size: 135
% 0.20/0.43 in_min_vars: 0
% 0.20/0.43 in_max_vars: 4
% 0.20/0.43 in_extaxiom_count: 0
% 0.20/0.43 in_axiom_count: 86
% 0.20/0.43 in_assumption_count: 0
% 0.20/0.43 in_goal_count: 0
% 0.20/0.43 in_neg_goal_count: 0
% 0.20/0.43 in_pos_goal_count: 0
% 0.20/0.43 in_posunit_goal_count: 0
% 0.20/0.43
% 0.20/0.43 auto guide:
% 0.20/0.43 -----------
% 0.20/0.43 {
% 0.20/0.43 "print":1,
% 0.20/0.43 "print_level": 15,
% 0.20/0.43 "max_size": 0,
% 0.20/0.43 "max_depth": 0,
% 0.20/0.43 "max_length": 0,
% 0.20/0.43 "max_dseconds": 0,
% 0.20/0.43 "equality":0,
% 0.20/0.43 "runs":[
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.43 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.43 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.43 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.43 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.43 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.43 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.43 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.43 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.20/0.43 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.43 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.43 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.43 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.43 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.43 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.43 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.43 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.43 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.43 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.43 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.43 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.43 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.43 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.43 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.43 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.43
% 0.20/0.43 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.43 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.43 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.43 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
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% 3.36/0.89 **** run 28 fork 3 starts with strategy
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% 4.47/1.00 **** run 46 fork 5 starts with strategy
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% 5.74/1.20
% 5.74/1.20 **** run 51 fork 2 starts with strategy
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% 6.87/1.30
% 6.87/1.30 fork 1: search finished without proof.
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% 21.44/3.20
% 21.44/3.20 **** run 64 fork 7 starts with strategy
% 21.44/3.20 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 21.44/3.21
% 21.44/3.21
% 21.44/3.21 fork 2: search terminated without proof.
% 21.44/3.23
% 21.44/3.23 **** run 67 fork 2 starts with strategy
% 21.44/3.23 {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 22.44/3.32
% 22.44/3.32
% 22.44/3.32 fork 3: search terminated without proof.
% 22.44/3.34
% 22.44/3.34 **** run 60 fork 3 starts with strategy
% 22.44/3.34 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 23.50/3.44
% 23.50/3.44
% 23.50/3.44 fork 1: search terminated without proof.
% 23.50/3.46
% 23.50/3.46 **** run 66 fork 1 starts with strategy
% 23.50/3.46 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 23.83/3.49
% 23.83/3.49 fork 3: search finished without proof.
% 23.83/3.50
% 23.83/3.50 **** run 68 fork 3 starts with strategy
% 23.83/3.50 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 25.51/3.76
% 25.51/3.76
% 25.51/3.76 fork 6: search terminated without proof.
% 25.51/3.78
% 25.51/3.78 **** run 87 fork 6 starts with strategy
% 25.51/3.78 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0}
% 28.90/4.15
% 28.90/4.15 fork 4: search finished without proof.
% 28.90/4.17
% 28.90/4.17 **** run 69 fork 4 starts with strategy
% 28.90/4.17 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 28.90/4.18
% 28.90/4.18
% 28.90/4.18 fork 5: search terminated without proof.
% 28.90/4.19
% 28.90/4.19 **** run 70 fork 5 starts with strategy
% 28.90/4.19 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 28.90/4.20
% 28.90/4.20
% 28.90/4.20 fork 0: search terminated without proof.
% 29.40/4.22
% 29.40/4.22 **** run 73 fork 0 starts with strategy
% 29.40/4.22 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 29.40/4.23
% 29.40/4.23
% 29.40/4.23 fork 7: search terminated without proof.
% 29.40/4.24
% 29.40/4.24
% 29.40/4.24 fork 2: search terminated without proof.
% 29.40/4.25
% 29.40/4.25 **** run 72 fork 7 starts with strategy
% 29.40/4.25 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 29.40/4.27
% 29.40/4.27 **** run 75 fork 2 starts with strategy
% 29.40/4.27 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":2}
% 29.40/4.36
% 29.40/4.36 fork 0: search finished without proof.
% 29.40/4.38
% 29.40/4.38 **** run 81 fork 0 starts with strategy
% 29.40/4.38 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 29.40/4.41
% 29.40/4.41 fork 2: search finished without proof.
% 30.79/4.42
% 30.79/4.42 **** run 83 fork 2 starts with strategy
% 30.79/4.42 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":2}
% 30.79/4.49
% 30.79/4.49 fork 1: search finished without proof.
% 31.68/4.51
% 31.68/4.51 **** run 74 fork 1 starts with strategy
% 31.68/4.51 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 31.96/4.63
% 31.96/4.63 fork 3: search finished without proof.
% 32.69/4.65
% 32.69/4.65 **** run 76 fork 3 starts with strategy
% 32.69/4.65 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1,"sine":1}
% 34.07/4.82
% 34.07/4.82 fork 3: search finished without proof.
% 34.07/4.83
% 34.07/4.83 **** run 84 fork 3 starts with strategy
% 34.07/4.83 {"max_dseconds":10,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 36.90/5.21
% 36.90/5.21
% 36.90/5.21 fork 4: search terminated without proof.
% 37.26/5.23
% 37.26/5.23 **** run 77 fork 4 starts with strategy
% 37.26/5.23 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 37.26/5.23
% 37.26/5.23
% 37.26/5.23 fork 5: search terminated without proof.
% 37.42/5.25
% 37.42/5.25 **** run 78 fork 5 starts with strategy
% 37.42/5.25 {"max_dseconds":10,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 38.01/5.34
% 38.01/5.34
% 38.01/5.34 fork 7: search terminated without proof.
% 38.01/5.36
% 38.01/5.36 **** run 80 fork 7 starts with strategy
% 38.01/5.36 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 38.01/5.37
% 38.01/5.37 fork 2: search finished without proof.
% 38.47/5.38
% 38.47/5.38 **** run 91 fork 2 starts with strategy
% 38.47/5.38 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 38.47/5.39
% 38.47/5.39
% 38.47/5.39 fork 0: search terminated without proof.
% 38.47/5.41
% 38.47/5.41 **** run 89 fork 0 starts with strategy
% 38.47/5.41 {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 39.83/5.55
% 39.83/5.55 fork 1: search finished without proof.
% 39.83/5.56
% 39.83/5.56 **** run 82 fork 1 starts with strategy
% 39.83/5.56 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 41.52/5.83
% 41.52/5.83 fork 3: search finished without proof.
% 41.52/5.85
% 41.52/5.85 **** run 92 fork 3 starts with strategy
% 41.52/5.85 {"max_dseconds":50,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 45.17/6.25
% 45.17/6.25
% 45.17/6.25 fork 4: search terminated without proof.
% 45.17/6.27
% 45.17/6.27
% 45.17/6.27 fork 5: search terminated without proof.
% 45.17/6.27
% 45.17/6.27 **** run 85 fork 4 starts with strategy
% 45.17/6.27 {"max_dseconds":10,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 45.17/6.28
% 45.17/6.28 **** run 86 fork 5 starts with strategy
% 45.17/6.28 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 45.17/6.34
% 45.17/6.34 fork 7: search finished without proof.
% 45.17/6.36
% 45.17/6.36 **** run 88 fork 7 starts with strategy
% 45.17/6.36 {"max_dseconds":50,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 45.17/6.43
% 45.17/6.43 fork 4: search finished without proof.
% 46.57/6.45
% 46.57/6.45 **** run 93 fork 4 starts with strategy
% 46.57/6.45 {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 48.00/6.62
% 48.00/6.62 fork 1: search finished without proof.
% 48.00/6.64
% 48.00/6.64 **** run 90 fork 1 starts with strategy
% 48.00/6.64 {"max_dseconds":50,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 49.75/6.91
% 49.75/6.91
% 49.75/6.91 result: proof found
% 49.75/6.91 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.75/6.91 by run 91 fork 2 strategy {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 49.75/6.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.75/6.91
% 49.75/6.91 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 49.75/6.91
% 49.75/6.91 run 91 fork 2 statistics:
% 49.75/6.91 ----------------------------------
% 49.75/6.91 this run seconds: 1.229583
% 49.75/6.91 total seconds: 6.165179
% 49.75/6.91 stat_given_used: 1625
% 49.75/6.91 stat_given_used_at_endgame: 0
% 49.75/6.91 stat_given_candidates: 14612
% 49.75/6.91 stat_given_candidates_at_endgame: 0
% 49.75/6.91 stat_given_candidates_h: 0
% 49.75/6.91 stat_binres_derived_cl: 46076
% 49.75/6.91 stat_binres_derived_cl_h: 0
% 49.75/6.91 stat_factor_derived_cl: 5756
% 49.75/6.91 stat_para_derived_cl: 0
% 49.75/6.91 stat_tautologies_discarded: 8237
% 49.75/6.91 stat_forward_subsumed: 0
% 49.75/6.91 stat_derived_cut: 1172
% 49.75/6.91 stat_derived_rewritten: 0
% 49.75/6.91 stat_weight_discarded_building: 0
% 49.75/6.91 stat_weight_discarded_cl: 0
% 49.75/6.91 stat_internlimit_discarded_cl: 0
% 49.75/6.91 stat_simplified: 1169 simplified 0 derived 0 given
% 49.75/6.91 stat_kept_cl: 43594
% 49.75/6.91 stat_built_cl: 48013
% 49.75/6.91 stat_hyperres_partial_cl: 0
% 49.75/6.91 stat_made_rewriters: 0
% 49.75/6.91 stat_backward_subsumed: 0
% 49.75/6.91 stat_propagated_subsumed: 0
% 49.75/6.91 stat_clsubs_attempted: 677972
% 49.75/6.91 stat_clsubs_fact_groundunit_found: 0
% 49.75/6.91 stat_clsubs_rule_groundunit_found: 1
% 49.75/6.91 stat_clsubs_top_meta_attempted: 9239164
% 49.75/6.91 stat_clsubs_top_meta_failed: 8561192
% 49.75/6.91 stat_clsubs_top_meta_nonpref_attempted: 9239164
% 49.75/6.91 stat_clsubs_top_meta_nonpref_succeeded: 1520077
% 49.75/6.91 stat_clsubs_top_meta_pref_attempted: 1520077
% 49.75/6.91 stat_clsubs_top_meta_pref1_succeeded: 1276477
% 49.75/6.91 stat_clsubs_top_meta_pref2_succeeded: 1122339
% 49.75/6.91 stat_clsubs_top_meta_pref3_succeeded: 677972
% 49.75/6.91 stat_clsubs_top_meta_pref_succeeded: 677972
% 49.75/6.91 stat_clsubs_meta_attempted: 5227731
% 49.75/6.91 stat_clsubs_meta_failed: 2147237
% 49.75/6.91 stat_clsubs_predsymbs_attempted: 0
% 49.75/6.91 stat_clsubs_unit_attempted: 6358
% 49.75/6.91 stat_clsubs_full_attempted: 671614
% 49.75/6.91 stat_forwardsubs_attempted: 43595
% 49.75/6.91 stat_lit_hash_added: 64
% 49.75/6.91 stat_lit_hash_computed: 1014140
% 49.75/6.91 stat_lit_hash_match_found: 9
% 49.75/6.91 stat_lit_hash_match_miss: 1544611
% 49.75/6.91 stat_lit_hash_cut_ok: 1175
% 49.75/6.91 stat_lit_strong_cut_ok: 0
% 49.75/6.91 stat_lit_hash_subsume_ok: 0
% 49.75/6.91 clqueue els 10000000 used 1
% 49.75/6.91 clactive els 10000000 used 1626
% 49.75/6.91 clactivesubsume els 10000000 used 9733
% 49.75/6.91 queue_termbuf els 200000000 used 15723972
% 49.75/6.91 hyper_termbuf els 100000000 used 1
% 49.75/6.91 active_termbuf els 100000000 used 411705
% 49.75/6.91 varstack els 5000 last used 1
% 49.75/6.91 given_termbuf els 10000000 last used 1
% 49.75/6.91 simplified_termbuf els 10000000 last used 1
% 49.75/6.91 derived_termbuf els 10000000 last used 66
% 49.75/6.91 wr_mallocs: 8354
% 49.75/6.91 wr_callocs: 19
% 49.75/6.91 wr_reallocs: 2762
% 49.75/6.91 wr_frees: 2
% 49.75/6.91 wr_malloc_bytes: 4162933012
% 49.75/6.91 wr_calloc_bytes: 96065504
% 49.75/6.91 wr_realloc_bytes: 813272
% 49.75/6.91 wr_realloc_freebytes: 0
% 49.75/6.91 ----------------------------------
%------------------------------------------------------------------------------