%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYO681-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n032.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 0.13s 0.55s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_131)
% 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(X)))
| ~ 'E'(s(s(s('0'))),f(suc(Y)))
| ~ 'E'(s(s(s('0'))),f(suc(Z)))
| ~ 'E'(s(s(s('0'))),f(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| ~ 'E'(s(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(X),suc(Z))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_131]) ).
cnf('2',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,[],['1']) ).
cnf('3',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_103]) ).
cnf('4',plain,
'LE'(f(X),s(s(s(s('0'))))),
inference(cnf_transformation,[],[clause_556]) ).
cnf('5',plain,
( 'E'(s(s(s('0'))),f(suc(suc(X))))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['3','4']) ).
cnf('6',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,[],['2','5']) ).
cnf('7',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_550]) ).
cnf('8',plain,
( 'E'(s(s(s('0'))),f(suc(X3)))
| 'LE'(f(X3),s(s(s('0')))) ),
inference(resolution,[],['7','4']) ).
cnf('9',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,[],['6','8']) ).
cnf('10',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_658]) ).
cnf('11',plain,
'LE'(f(X0),s(s(s(s('0'))))),
inference(cnf_transformation,[],[clause_556]) ).
cnf('12',plain,
( 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0')))) ),
inference(simplify,[],['10','11']) ).
cnf('13',plain,
( 'LE'(f(X3),s(s(s('0'))))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['9','12']) ).
cnf('14',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(X))
| ~ 'E'(s(s(s('0'))),f(Y))
| ~ 'E'(s(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(X),suc(Z))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_486]) ).
cnf('15',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,[],['14']) ).
cnf('16',plain,
( 'E'(s(s(s('0'))),f(suc(X)))
| 'LE'(f(X),s(s(s('0')))) ),
inference(resolution,[],['7','4']) ).
cnf('17',plain,
( ~ '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,[],['15','16']) ).
cnf('18',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_663]) ).
cnf('19',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,[],['18','5']) ).
cnf('20',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,[],['19','8']) ).
cnf('21',plain,
( 'LE'(f(X),s(s(s('0'))))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['20','12']) ).
cnf('22',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_283]) ).
cnf('23',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,[],['22','16']) ).
cnf('24',plain,
( 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['23','12']) ).
cnf('25',plain,
( 'LE'(f(X3),s(s(s('0'))))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['21','24']) ).
cnf('26',plain,
( ~ 'E'(s(s(s('0'))),f(X))
| 'LE'(f(X),s(s(s('0'))))
| 'E'(f(X),f(suc(X))) ),
inference(simplify,[],['17','25']) ).
cnf('27',plain,
( 'LE'(f(X3),s(s(s('0'))))
| 'E'(f(X3),f(suc(X3))) ),
inference(resolution,[],['26','12']) ).
cnf('28',plain,
( 'LE'(f(X),s(s(s('0'))))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['13','27']) ).
cnf('29',plain,
( 'LE'(f(X),s(s(s('0'))))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['21','24']) ).
cnf('30',plain,
'LE'(f(X),s(s(s('0')))),
inference(resolution,[],['28','29']) ).
cnf('31',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_607]) ).
cnf('32',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['30','31']) ).
cnf('33',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_415]) ).
cnf('34',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,[],['32','33']) ).
cnf('35',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_457]) ).
cnf('36',plain,
( 'E'(s(s('0')),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['30','35']) ).
cnf('37',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,[],['34','36']) ).
cnf('38',plain,
( ~ 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(cnf_transformation,[],[clause_300]) ).
cnf('39',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['30','38']) ).
cnf('40',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['37','39']) ).
cnf('41',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['30','35']) ).
cnf('42',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_383]) ).
cnf('43',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,[],['41','42']) ).
cnf('44',plain,
( 'E'(s(s('0')),f(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['30','38']) ).
cnf('45',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['43','44']) ).
cnf('46',plain,
( 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['40','45']) ).
cnf('47',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(X),suc(Z))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_463]) ).
cnf('48',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,[],['47']) ).
cnf('49',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,[],['41','48']) ).
cnf('50',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['49','44']) ).
cnf('51',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['46','50']) ).
cnf('52',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(X),suc(Z))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_528]) ).
cnf('53',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,[],['52']) ).
cnf('54',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,[],['32','53']) ).
cnf('55',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,[],['54','36']) ).
cnf('56',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['55','39']) ).
cnf('57',plain,
( 'LE'(f(X3),s(s('0')))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['51','56']) ).
cnf('58',plain,
( 'LE'(f(X3),s(s('0')))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['40','45']) ).
cnf('59',plain,
'LE'(f(X),s(s('0'))),
inference(simplify,[],['57','58']) ).
cnf('60',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_508]) ).
cnf('61',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['59','60']) ).
cnf('62',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_125]) ).
cnf('63',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,[],['61','62']) ).
cnf('64',plain,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_95]) ).
cnf('65',plain,
( 'E'(s('0'),f(suc(X3)))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['59','64']) ).
cnf('66',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['63','65']) ).
cnf('67',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['59','64']) ).
cnf('68',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_563]) ).
cnf('69',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['67','68']) ).
cnf('70',plain,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_44]) ).
cnf('71',plain,
( 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['59','70']) ).
cnf('72',plain,
( 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['69','71']) ).
cnf('73',plain,
( ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['66','72']) ).
cnf('74',plain,
( iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['73','71']) ).
cnf('75',plain,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(Z)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(Z))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_687]) ).
cnf('76',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,[],['75']) ).
cnf('77',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['67','76']) ).
cnf('78',plain,
( 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['77','71']) ).
cnf('79',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['74','78']) ).
cnf('80',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['79','66']) ).
cnf('81',plain,
( iLEQ(suc(Y3),suc(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['80','71']) ).
cnf('82',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(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_41]) ).
cnf('83',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,[],['82']) ).
cnf('84',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,[],['61','83']) ).
cnf('85',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['84','65']) ).
cnf('86',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['79','85']) ).
cnf('87',plain,
( ~ iLEQ(suc(Y3),suc(Y3))
| 'LE'(f(Y3),s('0')) ),
inference(simplify,[],['86','71']) ).
cnf('88',plain,
'LE'(f(X),s('0')),
inference(simplify,[],['81','87']) ).
cnf('89',plain,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_61]) ).
cnf('90',plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['88','89']) ).
cnf('91',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_560]) ).
cnf('92',plain,
( 'LE'(f(X3),'0')
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['90','91']) ).
cnf('93',plain,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_595]) ).
cnf('94',plain,
( 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['88','93']) ).
cnf('95',plain,
( ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['92','94']) ).
cnf('96',plain,
( 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['88','93']) ).
cnf('97',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_713]) ).
cnf('98',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['96','97']) ).
cnf('99',plain,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_497]) ).
cnf('100',plain,
( 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['88','99']) ).
cnf('101',plain,
( 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['98','100']) ).
cnf('102',plain,
( iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['95','101']) ).
cnf('103',plain,
( iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['102','100']) ).
cnf('104',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(Z)))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Z),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z)) ),
inference(cnf_transformation,[],[clause_614]) ).
cnf('105',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['104']) ).
cnf('106',plain,
( 'LE'(f(X3),'0')
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['103','105']) ).
cnf('107',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['106','94']) ).
cnf('108',plain,
( 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['88','99']) ).
cnf('109',plain,
( 'E'(f(X),f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['107','108']) ).
cnf('110',plain,
( 'LE'(f(X3),'0')
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['109','95']) ).
cnf('111',plain,
( iLEQ(suc(Y3),suc(Y3))
| 'LE'(f(Y3),'0') ),
inference(simplify,[],['110','100']) ).
cnf('112',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_363]) ).
cnf('113',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,[],['112']) ).
cnf('114',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,[],['90','113']) ).
cnf('115',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['114','94']) ).
cnf('116',plain,
( 'LE'(f(X3),'0')
| ~ iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['109','115']) ).
cnf('117',plain,
( 'LE'(f(Y3),'0')
| ~ iLEQ(suc(Y3),suc(Y3)) ),
inference(simplify,[],['116','100']) ).
cnf('118',plain,
'LE'(f(X),'0'),
inference(simplify,[],['111','117']) ).
cnf('119',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_359]) ).
cnf('120',plain,
$false,
inference(resolution,[],['118','119']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO681-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.10 % Command : gkc %s
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Sat Aug 26 04:32:58 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.11/0.33
% 0.11/0.33 input clause set summed statistics:
% 0.11/0.33 ----------------------------------
% 0.11/0.33 in_clause_count: 54
% 0.11/0.33 in_rule_clause_count: 54
% 0.11/0.33 in_fact_clause_count: 0
% 0.11/0.33 in_answer_clause_count: 0
% 0.11/0.33 in_ground_clause_count: 1
% 0.11/0.33 in_unit_clause_count: 2
% 0.11/0.33 in_horn_clause_count: 22
% 0.11/0.33 in_pos_clause_count: 1
% 0.11/0.33 in_neg_clause_count: 5
% 0.11/0.33 in_poseq_clause_count: 0
% 0.11/0.33 in_negeq_clause_count: 0
% 0.11/0.33 in_unitposeq_clause_count: 0
% 0.11/0.33 in_chain_clause_count: 0
% 0.11/0.33 in_min_length: 1
% 0.11/0.33 in_max_length: 14
% 0.11/0.33 in_min_depth: 2
% 0.11/0.33 in_max_depth: 5
% 0.11/0.33 in_min_size: 4
% 0.11/0.33 in_max_size: 100
% 0.11/0.33 in_min_vars: 0
% 0.11/0.33 in_max_vars: 3
% 0.11/0.33 in_extaxiom_count: 0
% 0.11/0.33 in_axiom_count: 54
% 0.11/0.33 in_assumption_count: 0
% 0.11/0.33 in_goal_count: 0
% 0.11/0.33 in_neg_goal_count: 0
% 0.11/0.33 in_pos_goal_count: 0
% 0.11/0.33 in_posunit_goal_count: 0
% 0.11/0.33
% 0.11/0.33 auto guide:
% 0.11/0.33 -----------
% 0.11/0.33 {
% 0.11/0.33 "print":1,
% 0.11/0.33 "print_level": 15,
% 0.11/0.33 "max_size": 0,
% 0.11/0.33 "max_depth": 0,
% 0.11/0.33 "max_length": 0,
% 0.11/0.33 "max_dseconds": 0,
% 0.11/0.33 "equality":0,
% 0.11/0.33 "runs":[
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.11/0.33 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.33 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.33 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.11/0.33 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.33 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.33 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.11/0.33 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.11/0.33 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.33 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.11/0.33 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.11/0.33 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.33 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.11/0.33 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.11/0.33 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.11/0.33 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.33 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.33 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.11/0.33 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.11/0.33 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.33 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.11/0.33 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.11/0.33 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.33 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.11/0.33 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.11/0.33 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.11/0.33 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.33 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.33 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.11/0.33 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.11/0.33 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.33 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.11/0.33 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.33
% 0.11/0.33 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.33 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.11/0.33 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.11/0.33 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.11/0.33 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.33 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.11/0.33 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.33 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.11/0.33 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.11/0.33 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.33
% 0.11/0.33 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.33 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.11/0.33 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.11/0.33 {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.33 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.33 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.11/0.33 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.11/0.33
% 0.11/0.33 ]}
% 0.11/0.33
% 0.11/0.33
% 0.11/0.33 **** run 1 fork 0 starts with strategy
% 0.11/0.33 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.11/0.33
% 0.11/0.33 **** run 2 fork 1 starts with strategy
% 0.11/0.33 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.11/0.33
% 0.11/0.33 **** run 3 fork 2 starts with strategy
% 0.11/0.33 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.11/0.33
% 0.11/0.33 **** run 4 fork 3 starts with strategy
% 0.11/0.33 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.11/0.33
% 0.11/0.33 **** run 5 fork 4 starts with strategy
% 0.11/0.33 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.11/0.33
% 0.11/0.33 **** run 7 fork 6 starts with strategy
% 0.11/0.33 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.11/0.33
% 0.11/0.33 **** run 6 fork 5 starts with strategy
% 0.11/0.33 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.13/0.35
% 0.13/0.35 **** run 8 fork 7 starts with strategy
% 0.13/0.35 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.13/0.44
% 0.13/0.44 fork 1: search finished without proof.
% 0.13/0.45
% 0.13/0.45 fork 5: search finished without proof.
% 0.13/0.45
% 0.13/0.45 fork 2: search finished without proof.
% 0.13/0.45
% 0.13/0.45 fork 6: search finished without proof.
% 0.13/0.45
% 0.13/0.45
% 0.13/0.45 fork 3: search terminated without proof.
% 0.13/0.45
% 0.13/0.45
% 0.13/0.45 fork 4: search terminated without proof.
% 0.13/0.46
% 0.13/0.46 **** run 10 fork 1 starts with strategy
% 0.13/0.46 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.13/0.47
% 0.13/0.47 **** run 14 fork 5 starts with strategy
% 0.13/0.47 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.13/0.47
% 0.13/0.47 **** run 15 fork 6 starts with strategy
% 0.13/0.47 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.13/0.47
% 0.13/0.47 **** run 11 fork 2 starts with strategy
% 0.13/0.47 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.13/0.47
% 0.13/0.47 **** run 12 fork 3 starts with strategy
% 0.13/0.47 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.13/0.47
% 0.13/0.47 **** run 13 fork 4 starts with strategy
% 0.13/0.47 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.13/0.49
% 0.13/0.49 fork 7: search finished without proof.
% 0.13/0.50
% 0.13/0.50 fork 3: search finished without proof.
% 0.13/0.51
% 0.13/0.51 **** run 16 fork 7 starts with strategy
% 0.13/0.51 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.13/0.51
% 0.13/0.51 **** run 20 fork 3 starts with strategy
% 0.13/0.51 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.13/0.55
% 0.13/0.55
% 0.13/0.55 result: proof found
% 0.13/0.55 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.55 by run 16 fork 7 strategy {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.13/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.55
% 0.13/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.55
% 0.13/0.55 run 16 fork 7 statistics:
% 0.13/0.55 ----------------------------------
% 0.13/0.55 this run seconds: 0.027378
% 0.13/0.55 total seconds: 0.167800
% 0.13/0.55 stat_given_used: 179
% 0.13/0.55 stat_given_used_at_endgame: 0
% 0.13/0.55 stat_given_candidates: 399
% 0.13/0.55 stat_given_candidates_at_endgame: 0
% 0.13/0.55 stat_given_candidates_h: 0
% 0.13/0.55 stat_binres_derived_cl: 1106
% 0.13/0.55 stat_binres_derived_cl_h: 0
% 0.13/0.55 stat_factor_derived_cl: 680
% 0.13/0.55 stat_para_derived_cl: 0
% 0.13/0.55 stat_tautologies_discarded: 206
% 0.13/0.55 stat_forward_subsumed: 219
% 0.13/0.55 stat_derived_cut: 100
% 0.13/0.55 stat_derived_rewritten: 0
% 0.13/0.55 stat_weight_discarded_building: 0
% 0.13/0.55 stat_weight_discarded_cl: 0
% 0.13/0.55 stat_internlimit_discarded_cl: 0
% 0.13/0.55 stat_simplified: 100 simplified 0 derived 0 given
% 0.13/0.55 stat_kept_cl: 1360
% 0.13/0.55 stat_built_cl: 1818
% 0.13/0.55 stat_hyperres_partial_cl: 0
% 0.13/0.55 stat_made_rewriters: 0
% 0.13/0.55 stat_backward_subsumed: 0
% 0.13/0.55 stat_propagated_subsumed: 0
% 0.13/0.55 stat_clsubs_attempted: 2538
% 0.13/0.55 stat_clsubs_fact_groundunit_found: 0
% 0.13/0.55 stat_clsubs_rule_groundunit_found: 1
% 0.13/0.55 stat_clsubs_top_meta_attempted: 28059
% 0.13/0.55 stat_clsubs_top_meta_failed: 25521
% 0.13/0.55 stat_clsubs_top_meta_nonpref_attempted: 28059
% 0.13/0.55 stat_clsubs_top_meta_nonpref_succeeded: 6864
% 0.13/0.55 stat_clsubs_top_meta_pref_attempted: 6864
% 0.13/0.55 stat_clsubs_top_meta_pref1_succeeded: 3443
% 0.13/0.55 stat_clsubs_top_meta_pref2_succeeded: 2820
% 0.13/0.55 stat_clsubs_top_meta_pref3_succeeded: 2538
% 0.13/0.55 stat_clsubs_top_meta_pref_succeeded: 2538
% 0.13/0.55 stat_clsubs_meta_attempted: 25294
% 0.13/0.55 stat_clsubs_meta_failed: 7126
% 0.13/0.55 stat_clsubs_predsymbs_attempted: 0
% 0.13/0.55 stat_clsubs_unit_attempted: 145
% 0.13/0.55 stat_clsubs_full_attempted: 2393
% 0.13/0.55 stat_forwardsubs_attempted: 1579
% 0.13/0.55 stat_lit_hash_added: 63
% 0.13/0.55 stat_lit_hash_computed: 21378
% 0.13/0.55 stat_lit_hash_match_found: 235
% 0.13/0.55 stat_lit_hash_match_miss: 34587
% 0.13/0.55 stat_lit_hash_cut_ok: 101
% 0.13/0.55 stat_lit_strong_cut_ok: 0
% 0.13/0.55 stat_lit_hash_subsume_ok: 219
% 0.13/0.55 clqueue els 10000000 used 1
% 0.13/0.55 clactive els 10000000 used 180
% 0.13/0.55 clactivesubsume els 10000000 used 1069
% 0.13/0.55 queue_termbuf els 200000000 used 393763
% 0.13/0.55 hyper_termbuf els 100000000 used 1
% 0.13/0.55 active_termbuf els 100000000 used 28238
% 0.13/0.55 varstack els 5000 last used 1
% 0.13/0.55 given_termbuf els 10000000 last used 20
% 0.13/0.55 simplified_termbuf els 10000000 last used 1
% 0.13/0.55 derived_termbuf els 10000000 last used 5
% 0.13/0.55 wr_mallocs: 1222
% 0.13/0.55 wr_callocs: 21
% 0.13/0.55 wr_reallocs: 73
% 0.13/0.55 wr_frees: 2
% 0.13/0.55 wr_malloc_bytes: 4162631204
% 0.13/0.55 wr_calloc_bytes: 112065536
% 0.13/0.55 wr_realloc_bytes: 73144
% 0.13/0.55 wr_realloc_freebytes: 0
% 0.13/0.55 ----------------------------------
%------------------------------------------------------------------------------