TSTP Solution File: SYO671-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYO671-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n017.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 04:37:36 EDT 2023
% Result : Unsatisfiable 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_20)
% Comments :
%------------------------------------------------------------------------------
cnf('1',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(X)))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(suc(Z)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(s(s('0')),f(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_20]) ).
cnf('2',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,[],['1']) ).
cnf('3',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_217]) ).
cnf('4',plain,
'LE'(f(X),s(s(s('0')))),
inference(cnf_transformation,[],[clause_421]) ).
cnf('5',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['3','4']) ).
cnf('6',plain,
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['2','5']) ).
cnf('7',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_183]) ).
cnf('8',plain,
( 'E'(s(s('0')),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['7','4']) ).
cnf('9',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,[],['6','8']) ).
cnf('10',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_18]) ).
cnf('11',plain,
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
inference(cnf_transformation,[],[clause_261]) ).
cnf('12',plain,
'LE'(f(X0),s(s(s('0')))),
inference(cnf_transformation,[],[clause_421]) ).
cnf('13',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['11','12']) ).
cnf('14',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['10','13']) ).
cnf('15',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['9','14']) ).
cnf('16',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(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(s(s('0')),f(Z))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_311]) ).
cnf('17',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,[],['16']) ).
cnf('18',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['7','4']) ).
cnf('19',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,[],['17','18']) ).
cnf('20',plain,
( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['19','14']) ).
cnf('21',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_91]) ).
cnf('22',plain,
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['21','5']) ).
cnf('23',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,[],['22','8']) ).
cnf('24',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,[],['23','14']) ).
cnf('25',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_26]) ).
cnf('26',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,[],['25','18']) ).
cnf('27',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,[],['26','14']) ).
cnf('28',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,[],['24','27']) ).
cnf('29',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,[],['20','28']) ).
cnf('30',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,[],['15','29']) ).
cnf('31',plain,
( 'LE'(f(suc(suc(X))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['30','28']) ).
cnf('32',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['31','10']) ).
cnf('33',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_37]) ).
cnf('34',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,[],['32','33']) ).
cnf('35',plain,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_138]) ).
cnf('36',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['13','35']) ).
cnf('37',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,[],['9','36']) ).
cnf('38',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,[],['19','36']) ).
cnf('39',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,[],['23','36']) ).
cnf('40',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,[],['26','36']) ).
cnf('41',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,[],['39','40']) ).
cnf('42',plain,
( iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['41','35']) ).
cnf('43',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,[],['38','42']) ).
cnf('44',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,[],['37','43']) ).
cnf('45',plain,
( 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['44','42']) ).
cnf('46',plain,
( 'E'(s('0'),f(suc(X3)))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['45','35']) ).
cnf('47',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['34','46']) ).
cnf('48',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['45','35']) ).
cnf('49',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_60]) ).
cnf('50',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['48','49']) ).
cnf('51',plain,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_326]) ).
cnf('52',plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['13','51']) ).
cnf('53',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,[],['9','52']) ).
cnf('54',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['19','52']) ).
cnf('55',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,[],['23','52']) ).
cnf('56',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['26','52']) ).
cnf('57',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['56','51']) ).
cnf('58',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['55','57']) ).
cnf('59',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['58','51']) ).
cnf('60',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,[],['54','59']) ).
cnf('61',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['60','51']) ).
cnf('62',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['53','61']) ).
cnf('63',plain,
( 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['62','59']) ).
cnf('64',plain,
( 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['63','51']) ).
cnf('65',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['50','64']) ).
cnf('66',plain,
( ~ 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0'))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['47','65']) ).
cnf('67',plain,
( 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['66','64']) ).
cnf('68',plain,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(Z)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(Z))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_340]) ).
cnf('69',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,[],['68']) ).
cnf('70',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['48','69']) ).
cnf('71',plain,
( 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['70','64']) ).
cnf('72',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['67','71']) ).
cnf('73',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['72','47']) ).
cnf('74',plain,
( 'LE'(f(Y3),s('0'))
| iLEQ(suc(Y3),suc(Y3)) ),
inference(simplify,[],['73','64']) ).
cnf('75',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(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(Z)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(Z))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_219]) ).
cnf('76',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,[],['75']) ).
cnf('77',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,[],['32','76']) ).
cnf('78',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['77','46']) ).
cnf('79',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['72','78']) ).
cnf('80',plain,
( ~ iLEQ(suc(Y3),suc(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['79','64']) ).
cnf('81',plain,
'LE'(f(X),s('0')),
inference(simplify,[],['74','80']) ).
cnf('82',plain,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_72]) ).
cnf('83',plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['81','82']) ).
cnf('84',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_116]) ).
cnf('85',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,[],['83','84']) ).
cnf('86',plain,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_353]) ).
cnf('87',plain,
( 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['81','86']) ).
cnf('88',plain,
( ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['85','87']) ).
cnf('89',plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['81','86']) ).
cnf('90',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_86]) ).
cnf('91',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['89','90']) ).
cnf('92',plain,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_307]) ).
cnf('93',plain,
( 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['81','92']) ).
cnf('94',plain,
( 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['91','93']) ).
cnf('95',plain,
( iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['88','94']) ).
cnf('96',plain,
( iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['95','93']) ).
cnf('97',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(Z)))
| ~ iLEQ(suc(Y),suc(Z))
| ~ iLEQ(suc(Z),suc(X))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z)) ),
inference(cnf_transformation,[],[clause_16]) ).
cnf('98',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['97']) ).
cnf('99',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['96','98']) ).
cnf('100',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['99','87']) ).
cnf('101',plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['81','92']) ).
cnf('102',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_211]) ).
cnf('103',plain,
'E'('0',f(z)),
inference(resolution,[],['101','102']) ).
cnf('104',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_211]) ).
cnf('105',plain,
'E'(f(z),f(suc(z))),
inference(resolution,[then_simplify],['100','103','104']) ).
cnf('106',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'('0',f(suc(suc(Z))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(Z)))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Z),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z)) ),
inference(cnf_transformation,[],[clause_83]) ).
cnf('107',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,[],['106']) ).
cnf('108',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,[],['83','107']) ).
cnf('109',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['108','87']) ).
cnf('110',plain,
'E'('0',f(z)),
inference(resolution,[],['101','102']) ).
cnf('111',plain,
iLEQ(suc(z),suc(z)),
inference(resolution,[then_simplify],['105','88','110','104']) ).
cnf('112',plain,
$false,
inference(resolution,[then_simplify],['105','109','111','110','104']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO671-1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 06:03:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.38
% 0.18/0.38 input clause set summed statistics:
% 0.18/0.38 ----------------------------------
% 0.18/0.38 in_clause_count: 41
% 0.18/0.38 in_rule_clause_count: 41
% 0.18/0.38 in_fact_clause_count: 0
% 0.18/0.38 in_answer_clause_count: 0
% 0.18/0.38 in_ground_clause_count: 1
% 0.18/0.38 in_unit_clause_count: 2
% 0.18/0.38 in_horn_clause_count: 17
% 0.18/0.38 in_pos_clause_count: 1
% 0.18/0.38 in_neg_clause_count: 4
% 0.18/0.38 in_poseq_clause_count: 0
% 0.18/0.38 in_negeq_clause_count: 0
% 0.18/0.38 in_unitposeq_clause_count: 0
% 0.18/0.38 in_chain_clause_count: 0
% 0.18/0.38 in_min_length: 1
% 0.18/0.38 in_max_length: 14
% 0.18/0.38 in_min_depth: 2
% 0.18/0.38 in_max_depth: 4
% 0.18/0.38 in_min_size: 4
% 0.18/0.38 in_max_size: 91
% 0.18/0.38 in_min_vars: 0
% 0.18/0.38 in_max_vars: 3
% 0.18/0.38 in_extaxiom_count: 0
% 0.18/0.38 in_axiom_count: 41
% 0.18/0.38 in_assumption_count: 0
% 0.18/0.38 in_goal_count: 0
% 0.18/0.38 in_neg_goal_count: 0
% 0.18/0.38 in_pos_goal_count: 0
% 0.18/0.38 in_posunit_goal_count: 0
% 0.18/0.38
% 0.18/0.38 auto guide:
% 0.18/0.38 -----------
% 0.18/0.38 {
% 0.18/0.38 "print":1,
% 0.18/0.38 "print_level": 15,
% 0.18/0.38 "max_size": 0,
% 0.18/0.38 "max_depth": 0,
% 0.18/0.38 "max_length": 0,
% 0.18/0.38 "max_dseconds": 0,
% 0.18/0.38 "equality":0,
% 0.18/0.38 "runs":[
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.38 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.18/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.18/0.38 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.38 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.18/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.18/0.38 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.38 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.38 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.18/0.38 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.18/0.38 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.18/0.38 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.18/0.38 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.38 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38
% 0.18/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.18/0.38 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.18/0.38 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.18/0.38
% 0.18/0.38 ]}
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 **** run 1 fork 0 starts with strategy
% 0.18/0.38 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.39
% 0.18/0.39 **** run 2 fork 1 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.18/0.39
% 0.18/0.39 **** run 3 fork 2 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.39
% 0.18/0.39 **** run 4 fork 3 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.39
% 0.18/0.39 **** run 7 fork 6 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.18/0.39
% 0.18/0.39 **** run 5 fork 4 starts with strategy
% 0.18/0.39
% 0.18/0.39 **** run 8 fork 7 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.18/0.39
% 0.18/0.39 **** run 6 fork 5 starts with strategy
% 0.18/0.39 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.18/0.50
% 0.18/0.50 fork 7: search finished without proof.
% 0.18/0.50
% 0.18/0.50 fork 2: search finished without proof.
% 0.18/0.50
% 0.18/0.50 fork 3: search finished without proof.
% 0.18/0.51
% 0.18/0.51 fork 0: search finished without proof.
% 0.18/0.51
% 0.18/0.51 fork 4: search finished without proof.
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 fork 6: search terminated without proof.
% 0.18/0.52
% 0.18/0.52 **** run 16 fork 7 starts with strategy
% 0.18/0.52 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.18/0.53
% 0.18/0.53 **** run 9 fork 0 starts with strategy
% 0.18/0.53 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.18/0.53
% 0.18/0.53 **** run 12 fork 3 starts with strategy
% 0.18/0.53 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.18/0.53
% 0.18/0.53 **** run 11 fork 2 starts with strategy
% 0.18/0.53 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.18/0.53
% 0.18/0.53 **** run 13 fork 4 starts with strategy
% 0.18/0.53 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.18/0.53
% 0.18/0.53 **** run 15 fork 6 starts with strategy
% 0.18/0.53 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.18/0.55
% 0.18/0.55 fork 3: search finished without proof.
% 0.18/0.58
% 0.18/0.58 fork 1: search finished without proof.
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 result: proof found
% 0.18/0.58 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58 by run 16 fork 7 strategy {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.18/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58
% 0.18/0.58 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.58
% 0.18/0.58 run 16 fork 7 statistics:
% 0.18/0.58 ----------------------------------
% 0.18/0.58 this run seconds: 0.039724
% 0.18/0.58 total seconds: 0.190580
% 0.18/0.58 stat_given_used: 209
% 0.18/0.58 stat_given_used_at_endgame: 0
% 0.18/0.58 stat_given_candidates: 670
% 0.18/0.58 stat_given_candidates_at_endgame: 0
% 0.18/0.58 stat_given_candidates_h: 0
% 0.18/0.58 stat_binres_derived_cl: 1559
% 0.18/0.58 stat_binres_derived_cl_h: 0
% 0.18/0.58 stat_factor_derived_cl: 510
% 0.18/0.58 stat_para_derived_cl: 0
% 0.18/0.58 stat_tautologies_discarded: 343
% 0.18/0.58 stat_forward_subsumed: 0
% 0.18/0.58 stat_derived_cut: 97
% 0.18/0.58 stat_derived_rewritten: 0
% 0.18/0.58 stat_weight_discarded_building: 0
% 0.18/0.58 stat_weight_discarded_cl: 0
% 0.18/0.58 stat_internlimit_discarded_cl: 0
% 0.18/0.58 stat_simplified: 94 simplified 0 derived 0 given
% 0.18/0.58 stat_kept_cl: 1725
% 0.18/0.58 stat_built_cl: 2237
% 0.18/0.58 stat_hyperres_partial_cl: 0
% 0.18/0.58 stat_made_rewriters: 0
% 0.18/0.58 stat_backward_subsumed: 0
% 0.18/0.58 stat_propagated_subsumed: 0
% 0.18/0.58 stat_clsubs_attempted: 6896
% 0.18/0.58 stat_clsubs_fact_groundunit_found: 0
% 0.18/0.58 stat_clsubs_rule_groundunit_found: 1
% 0.18/0.58 stat_clsubs_top_meta_attempted: 61821
% 0.18/0.58 stat_clsubs_top_meta_failed: 54925
% 0.18/0.58 stat_clsubs_top_meta_nonpref_attempted: 61821
% 0.18/0.58 stat_clsubs_top_meta_nonpref_succeeded: 15966
% 0.18/0.58 stat_clsubs_top_meta_pref_attempted: 15966
% 0.18/0.58 stat_clsubs_top_meta_pref1_succeeded: 12751
% 0.18/0.58 stat_clsubs_top_meta_pref2_succeeded: 8693
% 0.18/0.58 stat_clsubs_top_meta_pref3_succeeded: 6896
% 0.18/0.58 stat_clsubs_top_meta_pref_succeeded: 6896
% 0.18/0.58 stat_clsubs_meta_attempted: 42895
% 0.18/0.58 stat_clsubs_meta_failed: 16242
% 0.18/0.58 stat_clsubs_predsymbs_attempted: 0
% 0.18/0.58 stat_clsubs_unit_attempted: 410
% 0.18/0.58 stat_clsubs_full_attempted: 6486
% 0.18/0.58 stat_forwardsubs_attempted: 1726
% 0.18/0.58 stat_lit_hash_added: 44
% 0.18/0.58 stat_lit_hash_computed: 26363
% 0.18/0.58 stat_lit_hash_match_found: 9
% 0.18/0.58 stat_lit_hash_match_miss: 41411
% 0.18/0.58 stat_lit_hash_cut_ok: 100
% 0.18/0.58 stat_lit_strong_cut_ok: 0
% 0.18/0.58 stat_lit_hash_subsume_ok: 0
% 0.18/0.58 clqueue els 10000000 used 1
% 0.18/0.58 clactive els 10000000 used 210
% 0.18/0.58 clactivesubsume els 10000000 used 1237
% 0.18/0.58 queue_termbuf els 200000000 used 393366
% 0.18/0.58 hyper_termbuf els 100000000 used 1
% 0.18/0.58 active_termbuf els 100000000 used 27918
% 0.18/0.58 varstack els 5000 last used 1
% 0.18/0.58 given_termbuf els 10000000 last used 1
% 0.18/0.58 simplified_termbuf els 10000000 last used 1
% 0.18/0.58 derived_termbuf els 10000000 last used 66
% 0.18/0.58 wr_mallocs: 1431
% 0.18/0.58 wr_callocs: 21
% 0.18/0.58 wr_reallocs: 105
% 0.18/0.58 wr_frees: 2
% 0.18/0.58 wr_malloc_bytes: 4162639348
% 0.18/0.58 wr_calloc_bytes: 112065536
% 0.18/0.58 wr_realloc_bytes: 79896
% 0.18/0.58 wr_realloc_freebytes: 0
% 0.18/0.58 ----------------------------------
%------------------------------------------------------------------------------