%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYO669-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:37:35 EDT 2023
% Result : Unsatisfiable 13.22s 2.10s
% Output : CNFRefutation 13.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_122)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(Y)))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(Y))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(Y),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(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_122]) ).
cnf('2',plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['1']) ).
cnf('3',plain,
( ~ 'LE'(f(suc(suc(suc(X)))),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'LE'(f(X),s(s('0'))) ),
inference(cnf_transformation,[],[clause_88]) ).
cnf('4',plain,
'LE'(f(X),s(s(s('0')))),
inference(cnf_transformation,[],[clause_299]) ).
cnf('5',plain,
( 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['3','4']) ).
cnf('6',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['2','5']) ).
cnf('7',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_301]) ).
cnf('8',plain,
( 'E'(s(s('0')),f(suc(suc(X3))))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['7','4']) ).
cnf('9',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['6','8']) ).
cnf('10',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(Y))))
| 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Y),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(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_74]) ).
cnf('11',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['10']) ).
cnf('12',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['7','4']) ).
cnf('13',plain,
( 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['11','12']) ).
cnf('14',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_153]) ).
cnf('15',plain,
( 'E'(s(s('0')),f(suc(X3)))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['14','4']) ).
cnf('16',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| ~ iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['13','15']) ).
cnf('17',plain,
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),s(s('0')))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['9','16']) ).
cnf('18',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,[],['17','15']) ).
cnf('19',plain,
( ~ 'LE'(f(suc(suc(suc(X)))),s(s('0')))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_263]) ).
cnf('20',plain,
( ~ 'E'(f(suc(suc(suc(X)))),f(suc(suc(suc(suc(X))))))
| ~ iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['18','19']) ).
cnf('21',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(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_76]) ).
cnf('22',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,[],['21']) ).
cnf('23',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference(resolution,[],['14','4']) ).
cnf('24',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,[],['22','23']) ).
cnf('25',plain,
( 'E'(f(suc(suc(suc(X)))),f(suc(suc(suc(suc(X))))))
| ~ iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['24','19']) ).
cnf('26',plain,
( ~ iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['20','25']) ).
cnf('27',plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_267]) ).
cnf('28',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['27','5']) ).
cnf('29',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['28','8']) ).
cnf('30',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_246]) ).
cnf('31',plain,
( 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s(s('0'))) ),
inference(resolution,[],['30','12']) ).
cnf('32',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'LE'(f(X),s(s('0')))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['31','15']) ).
cnf('33',plain,
( ~ 'E'(s(s('0')),f(suc(X3)))
| ~ 'E'(s(s('0')),f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| 'LE'(f(X3),s(s('0')))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['29','32']) ).
cnf('34',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,[],['33','15']) ).
cnf('35',plain,
( ~ 'E'(f(suc(suc(suc(X)))),f(suc(suc(suc(suc(X))))))
| iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['34','19']) ).
cnf('36',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_25]) ).
cnf('37',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,[],['36','23']) ).
cnf('38',plain,
( 'E'(f(suc(suc(suc(X)))),f(suc(suc(suc(suc(X))))))
| iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['37','19']) ).
cnf('39',plain,
( iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['35','38']) ).
cnf('40',plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['26','39']) ).
cnf('41',plain,
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
inference(cnf_transformation,[],[clause_222]) ).
cnf('42',plain,
'LE'(f(X0),s(s(s('0')))),
inference(cnf_transformation,[],[clause_299]) ).
cnf('43',plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference(simplify,[],['41','42']) ).
cnf('44',plain,
( 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['19','43']) ).
cnf('45',plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['40','44']) ).
cnf('46',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_257]) ).
cnf('47',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['45','46']) ).
cnf('48',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_196]) ).
cnf('49',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['18','48']) ).
cnf('50',plain,
( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['24','48']) ).
cnf('51',plain,
( ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['49','50']) ).
cnf('52',plain,
( ~ 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['34','48']) ).
cnf('53',plain,
( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
| iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['37','48']) ).
cnf('54',plain,
( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['52','53']) ).
cnf('55',plain,
( ~ 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['51','54']) ).
cnf('56',plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['48','43']) ).
cnf('57',plain,
( 'E'(s('0'),f(suc(suc(X3))))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['55','56']) ).
cnf('58',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['47','57']) ).
cnf('59',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['55','56']) ).
cnf('60',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X)) ),
inference(cnf_transformation,[],[clause_72]) ).
cnf('61',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['59','60']) ).
cnf('62',plain,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_12]) ).
cnf('63',plain,
( ~ 'E'(f(suc(X)),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['18','62']) ).
cnf('64',plain,
( 'E'(f(suc(X)),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['24','62']) ).
cnf('65',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| ~ iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['63','64']) ).
cnf('66',plain,
( ~ 'E'(f(suc(X)),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['34','62']) ).
cnf('67',plain,
( 'E'(f(suc(X)),f(suc(suc(X))))
| ~ 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['37','62']) ).
cnf('68',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['66','67']) ).
cnf('69',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['65','68']) ).
cnf('70',plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['43','62']) ).
cnf('71',plain,
( 'E'(s('0'),f(suc(X3)))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['69','70']) ).
cnf('72',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['61','71']) ).
cnf('73',plain,
( ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| 'LE'(f(X3),s('0'))
| iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['58','72']) ).
cnf('74',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['73','71']) ).
cnf('75',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['69','70']) ).
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(cnf_transformation,[],[clause_44]) ).
cnf('77',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['75','76']) ).
cnf('78',plain,
( ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['74','77']) ).
cnf('79',plain,
( ~ 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_207]) ).
cnf('80',plain,
( iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['78','79']) ).
cnf('81',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| ~ 'E'(s('0'),f(suc(suc(suc(Y)))))
| ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_292]) ).
cnf('82',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['81']) ).
cnf('83',plain,
( 'LE'(f(X3),s('0'))
| ~ 'E'(s('0'),f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['45','82']) ).
cnf('84',plain,
( ~ 'E'(f(X),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))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['83','57']) ).
cnf('85',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_144]) ).
cnf('86',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X)) ),
inference(factorization,[],['85']) ).
cnf('87',plain,
( 'LE'(f(X3),s('0'))
| 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3)) ),
inference(resolution,[],['59','86']) ).
cnf('88',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['87','71']) ).
cnf('89',plain,
( ~ 'E'(s('0'),f(suc(X3)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'(s('0'),f(X3))
| ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['84','88']) ).
cnf('90',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['89','71']) ).
cnf('91',plain,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_7]) ).
cnf('92',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,[],['91']) ).
cnf('93',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['75','92']) ).
cnf('94',plain,
( ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['90','93']) ).
cnf('95',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['80','94']) ).
cnf('96',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['95','79']) ).
cnf('97',plain,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_272]) ).
cnf('98',plain,
( ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['18','97']) ).
cnf('99',plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['43','97']) ).
cnf('100',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['98','99']) ).
cnf('101',plain,
( ~ 'E'(s(s('0')),f(X))
| 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['24','97']) ).
cnf('102',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['101','99']) ).
cnf('103',plain,
( 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['100','102']) ).
cnf('104',plain,
( ~ 'E'(s(s('0')),f(X))
| ~ 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['34','97']) ).
cnf('105',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['104','99']) ).
cnf('106',plain,
( ~ 'E'(s(s('0')),f(X))
| 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['37','97']) ).
cnf('107',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['106','99']) ).
cnf('108',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['105','107']) ).
cnf('109',plain,
( iLEQ(suc(suc(suc(suc(X)))),suc(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['108','79']) ).
cnf('110',plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['103','109']) ).
cnf('111',plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['110','79']) ).
cnf('112',plain,
( 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['96','111']) ).
cnf('113',plain,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(cnf_transformation,[],[clause_295]) ).
cnf('114',plain,
( 'LE'(f(X3),'0')
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['112','113']) ).
cnf('115',plain,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_4]) ).
cnf('116',plain,
( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['78','115']) ).
cnf('117',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['116','94']) ).
cnf('118',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['117','115']) ).
cnf('119',plain,
( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['108','115']) ).
cnf('120',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['103','119']) ).
cnf('121',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['120','115']) ).
cnf('122',plain,
( 'E'('0',f(suc(suc(X3))))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['118','121']) ).
cnf('123',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['114','122']) ).
cnf('124',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(cnf_transformation,[],[clause_143]) ).
cnf('125',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(suc(X3)))) ),
inference(resolution,[],['123','124']) ).
cnf('126',plain,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_260]) ).
cnf('127',plain,
( iLEQ(suc(suc(X)),suc(suc(X)))
| ~ 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['78','126']) ).
cnf('128',plain,
( ~ 'E'(s('0'),f(suc(X)))
| 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['127','94']) ).
cnf('129',plain,
( ~ 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['128','126']) ).
cnf('130',plain,
( iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['108','126']) ).
cnf('131',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['103','130']) ).
cnf('132',plain,
( 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['131','126']) ).
cnf('133',plain,
( 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['129','132']) ).
cnf('134',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['125','133']) ).
cnf('135',plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['118','121']) ).
cnf('136',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['134','135']) ).
cnf('137',plain,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_18]) ).
cnf('138',plain,
( ~ 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['78','137']) ).
cnf('139',plain,
( ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['138','94']) ).
cnf('140',plain,
( ~ 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['139','137']) ).
cnf('141',plain,
( 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['108','137']) ).
cnf('142',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['103','141']) ).
cnf('143',plain,
( 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['142','137']) ).
cnf('144',plain,
( 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['140','143']) ).
cnf('145',plain,
( ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['136','144']) ).
cnf('146',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_59]) ).
cnf('147',plain,
( iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['145','146']) ).
cnf('148',plain,
( iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['147','133']) ).
cnf('149',plain,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'('0',f(suc(suc(suc(Y)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y)) ),
inference(cnf_transformation,[],[clause_100]) ).
cnf('150',plain,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['149']) ).
cnf('151',plain,
( 'LE'(f(X3),'0')
| ~ 'E'(f(X3),f(suc(suc(X3))))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['112','150']) ).
cnf('152',plain,
( ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['151','122']) ).
cnf('153',plain,
( 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(Y))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y)) ),
inference(cnf_transformation,[],[clause_106]) ).
cnf('154',plain,
( 'E'(f(X),f(suc(suc(X))))
| ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['153']) ).
cnf('155',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(suc(X3)))) ),
inference(resolution,[],['152','154']) ).
cnf('156',plain,
( ~ 'E'('0',f(suc(suc(X))))
| ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['155','133']) ).
cnf('157',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['156','135']) ).
cnf('158',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['157','144']) ).
cnf('159',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(X),suc(Y))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y)) ),
inference(cnf_transformation,[],[clause_248]) ).
cnf('160',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['159']) ).
cnf('161',plain,
( ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['158','160']) ).
cnf('162',plain,
( ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['161','133']) ).
cnf('163',plain,
( ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['148','162']) ).
cnf('164',plain,
'LE'(f(X),'0'),
inference(simplify,[],['163','144']) ).
cnf('165',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_151]) ).
cnf('166',plain,
$false,
inference(resolution,[],['164','165']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO669-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : gkc %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 04:54:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.40
% 0.22/0.40 input clause set summed statistics:
% 0.22/0.40 ----------------------------------
% 0.22/0.40 in_clause_count: 50
% 0.22/0.40 in_rule_clause_count: 50
% 0.22/0.40 in_fact_clause_count: 0
% 0.22/0.40 in_answer_clause_count: 0
% 0.22/0.40 in_ground_clause_count: 1
% 0.22/0.40 in_unit_clause_count: 2
% 0.22/0.40 in_horn_clause_count: 20
% 0.22/0.40 in_pos_clause_count: 1
% 0.22/0.40 in_neg_clause_count: 4
% 0.22/0.40 in_poseq_clause_count: 0
% 0.22/0.40 in_negeq_clause_count: 0
% 0.22/0.40 in_unitposeq_clause_count: 0
% 0.22/0.40 in_chain_clause_count: 0
% 0.22/0.40 in_min_length: 1
% 0.22/0.40 in_max_length: 13
% 0.22/0.40 in_min_depth: 2
% 0.22/0.40 in_max_depth: 5
% 0.22/0.40 in_min_size: 4
% 0.22/0.40 in_max_size: 91
% 0.22/0.40 in_min_vars: 0
% 0.22/0.40 in_max_vars: 2
% 0.22/0.40 in_extaxiom_count: 0
% 0.22/0.40 in_axiom_count: 50
% 0.22/0.40 in_assumption_count: 0
% 0.22/0.40 in_goal_count: 0
% 0.22/0.40 in_neg_goal_count: 0
% 0.22/0.40 in_pos_goal_count: 0
% 0.22/0.40 in_posunit_goal_count: 0
% 0.22/0.40
% 0.22/0.40 auto guide:
% 0.22/0.40 -----------
% 0.22/0.40 {
% 0.22/0.40 "print":1,
% 0.22/0.40 "print_level": 15,
% 0.22/0.40 "max_size": 0,
% 0.22/0.40 "max_depth": 0,
% 0.22/0.40 "max_length": 0,
% 0.22/0.40 "max_dseconds": 0,
% 0.22/0.40 "equality":0,
% 0.22/0.40 "runs":[
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.22/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.40 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.22/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.22/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.22/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.22/0.40 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.40 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.40 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.22/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.22/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.22/0.40 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.40 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.40 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.22/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.40
% 0.22/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.22/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.22/0.40 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.22/0.40 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.22/0.40 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.40 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.40
% 0.22/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.22/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.22/0.40 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0}
% 0.22/0.40
% 0.22/0.40 ]}
% 0.22/0.40
% 0.22/0.40
% 0.22/0.40 **** run 1 fork 0 starts with strategy
% 0.22/0.40 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.41
% 0.22/0.41 **** run 2 fork 1 starts with strategy
% 0.22/0.41 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.22/0.41
% 0.22/0.41 **** run 3 fork 2 starts with strategy
% 0.22/0.41 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.41
% 0.22/0.41 **** run 4 fork 3 starts with strategy
% 0.22/0.41
% 0.22/0.41 **** run 7 fork 6 starts with strategy
% 0.22/0.41
% 0.22/0.41 **** run 8 fork 7 starts with strategy
% 0.22/0.41
% 0.22/0.41 **** run 5 fork 4 starts with strategy
% 0.22/0.41 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.41 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.22/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.41 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.41
% 0.22/0.41 **** run 6 fork 5 starts with strategy
% 0.22/0.41 {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.22/0.44
% 0.22/0.44 fork 1: search finished without proof.
% 0.22/0.47
% 0.22/0.47 **** run 10 fork 1 starts with strategy
% 0.22/0.47 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.22/0.48
% 0.22/0.48 fork 7: search finished without proof.
% 0.22/0.48
% 0.22/0.48 fork 5: search finished without proof.
% 0.22/0.50
% 0.22/0.50 **** run 16 fork 7 starts with strategy
% 0.22/0.50 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.22/0.51
% 0.22/0.51 **** run 14 fork 5 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.52
% 0.22/0.52 fork 2: search finished without proof.
% 0.22/0.53
% 0.22/0.53
% 0.22/0.53 fork 0: search terminated without proof.
% 0.22/0.53
% 0.22/0.53 fork 3: search finished without proof.
% 0.22/0.53
% 0.22/0.53 fork 4: search finished without proof.
% 0.22/0.53
% 0.22/0.53
% 0.22/0.53 fork 6: search terminated without proof.
% 0.22/0.55
% 0.22/0.55 **** run 13 fork 4 starts with strategy
% 0.22/0.55 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.22/0.55
% 0.22/0.55 **** run 11 fork 2 starts with strategy
% 0.22/0.55 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.22/0.55
% 0.22/0.55 **** run 9 fork 0 starts with strategy
% 0.22/0.55 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.55
% 0.22/0.55 **** run 12 fork 3 starts with strategy
% 0.22/0.55 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.22/0.55
% 0.22/0.55 fork 5: search finished without proof.
% 0.22/0.56
% 0.22/0.56 **** run 15 fork 6 starts with strategy
% 0.22/0.56 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.22/0.57
% 0.22/0.57 **** run 22 fork 5 starts with strategy
% 0.22/0.57 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.22/0.57
% 0.22/0.57 fork 3: search finished without proof.
% 0.22/0.58
% 0.22/0.58
% 0.22/0.58 fork 1: search terminated without proof.
% 0.22/0.59
% 0.22/0.59 **** run 20 fork 3 starts with strategy
% 0.22/0.59 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.22/0.59
% 0.22/0.59 fork 4: search finished without proof.
% 0.22/0.60
% 0.22/0.60 **** run 18 fork 1 starts with strategy
% 0.22/0.60 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.22/0.61
% 0.22/0.61 **** run 21 fork 4 starts with strategy
% 0.22/0.61 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.22/0.62
% 0.22/0.62
% 0.22/0.62 fork 7: search terminated without proof.
% 0.22/0.63
% 0.22/0.63 fork 5: search finished without proof.
% 0.22/0.63
% 0.22/0.63 **** run 24 fork 7 starts with strategy
% 0.22/0.63 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.22/0.66
% 0.22/0.66 **** run 30 fork 5 starts with strategy
% 0.22/0.66 {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.22/0.66
% 0.22/0.66
% 0.22/0.66 fork 0: search terminated without proof.
% 0.22/0.67
% 0.22/0.67
% 0.22/0.67 fork 6: search terminated without proof.
% 0.22/0.68
% 0.22/0.68 **** run 17 fork 0 starts with strategy
% 0.22/0.68 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.22/0.70
% 0.22/0.70 **** run 23 fork 6 starts with strategy
% 0.22/0.70 {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 0.22/0.71
% 0.22/0.71
% 0.22/0.71 fork 2: search terminated without proof.
% 0.22/0.73
% 0.22/0.73 fork 1: search finished without proof.
% 0.22/0.73
% 0.22/0.73 fork 0: search finished without proof.
% 0.22/0.74
% 0.22/0.74
% 0.22/0.74 fork 3: search terminated without proof.
% 0.22/0.74
% 0.22/0.74 **** run 26 fork 1 starts with strategy
% 0.22/0.74 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 0.22/0.74
% 0.22/0.74 **** run 25 fork 0 starts with strategy
% 0.22/0.74 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 2.31/0.75
% 2.31/0.75 fork 7: search finished without proof.
% 2.31/0.75
% 2.31/0.75 **** run 19 fork 2 starts with strategy
% 2.31/0.75 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 2.31/0.76
% 2.31/0.76 **** run 32 fork 7 starts with strategy
% 2.31/0.76 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 2.31/0.77
% 2.31/0.77 **** run 28 fork 3 starts with strategy
% 2.31/0.77 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 2.31/0.78
% 2.31/0.78
% 2.31/0.78 fork 5: search terminated without proof.
% 2.31/0.79
% 2.31/0.79
% 2.31/0.79 fork 4: search terminated without proof.
% 2.31/0.80
% 2.31/0.80 **** run 38 fork 5 starts with strategy
% 2.31/0.80 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 2.31/0.81
% 2.31/0.81 **** run 29 fork 4 starts with strategy
% 2.31/0.81 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 2.31/0.82
% 2.31/0.82 fork 2: search finished without proof.
% 3.34/0.83
% 3.34/0.83 fork 4: search finished without proof.
% 3.34/0.83
% 3.34/0.83
% 3.34/0.83 fork 6: search terminated without proof.
% 3.34/0.84
% 3.34/0.84 **** run 27 fork 2 starts with strategy
% 3.34/0.84 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 3.34/0.85
% 3.34/0.85 **** run 37 fork 4 starts with strategy
% 3.34/0.85 {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 3.34/0.85
% 3.34/0.85 **** run 31 fork 6 starts with strategy
% 3.34/0.85 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 3.34/0.86
% 3.34/0.86 fork 2: search finished without proof.
% 3.34/0.86
% 3.34/0.86
% 3.34/0.86 fork 0: search terminated without proof.
% 3.34/0.87
% 3.34/0.87
% 3.34/0.87 fork 1: search terminated without proof.
% 3.34/0.87
% 3.34/0.87 fork 7: search finished without proof.
% 3.34/0.87
% 3.34/0.87 fork 4: search finished without proof.
% 3.34/0.88
% 3.34/0.88 **** run 35 fork 2 starts with strategy
% 3.34/0.88 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 3.34/0.88
% 3.34/0.88 **** run 33 fork 0 starts with strategy
% 3.34/0.88 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 3.34/0.88
% 3.34/0.88 fork 6: search finished without proof.
% 3.34/0.89
% 3.34/0.89 **** run 40 fork 7 starts with strategy
% 3.34/0.89 {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 3.34/0.89
% 3.34/0.89 **** run 34 fork 1 starts with strategy
% 3.34/0.89 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 3.34/0.90
% 3.34/0.90 **** run 45 fork 4 starts with strategy
% 3.34/0.90 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 3.34/0.90
% 3.34/0.90 **** run 39 fork 6 starts with strategy
% 3.34/0.90 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 3.34/0.91
% 3.34/0.91
% 3.34/0.91 fork 3: search terminated without proof.
% 3.98/0.91
% 3.98/0.91 fork 7: search finished without proof.
% 3.98/0.92
% 3.98/0.92
% 3.98/0.92 fork 5: search terminated without proof.
% 3.98/0.92
% 3.98/0.92 **** run 36 fork 3 starts with strategy
% 3.98/0.92 {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 3.98/0.92
% 3.98/0.92 **** run 48 fork 7 starts with strategy
% 3.98/0.92 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 3.98/0.93
% 3.98/0.93 fork 2: search finished without proof.
% 3.98/0.93
% 3.98/0.93 **** run 46 fork 5 starts with strategy
% 3.98/0.93 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 3.98/0.94
% 3.98/0.94 **** run 43 fork 2 starts with strategy
% 3.98/0.94 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.55/0.98
% 4.55/0.98 fork 5: search finished without proof.
% 4.55/0.99
% 4.55/0.99 **** run 54 fork 5 starts with strategy
% 4.55/0.99 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 4.55/1.01
% 4.55/1.01
% 4.55/1.01 fork 0: search terminated without proof.
% 4.55/1.01
% 4.55/1.01
% 4.55/1.01 fork 1: search terminated without proof.
% 4.55/1.02
% 4.55/1.02 **** run 41 fork 0 starts with strategy
% 4.55/1.02 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.55/1.03
% 4.55/1.03 **** run 42 fork 1 starts with strategy
% 4.55/1.03 {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.55/1.04
% 4.55/1.04 fork 3: search finished without proof.
% 4.55/1.05
% 4.55/1.05 **** run 44 fork 3 starts with strategy
% 4.55/1.05 {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 5.42/1.10
% 5.42/1.10 fork 3: search finished without proof.
% 5.42/1.11
% 5.42/1.11 **** run 52 fork 3 starts with strategy
% 5.42/1.11 {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 5.74/1.15
% 5.74/1.15 fork 3: search finished without proof.
% 5.74/1.17
% 5.74/1.17 **** run 60 fork 3 starts with strategy
% 5.74/1.17 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 6.38/1.21
% 6.38/1.21 fork 3: search finished without proof.
% 6.38/1.23
% 6.38/1.23 **** run 68 fork 3 starts with strategy
% 6.38/1.23 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 11.79/1.92
% 11.79/1.92 fork 4: search finished without proof.
% 11.79/1.93
% 11.79/1.93
% 11.79/1.93 fork 6: search terminated without proof.
% 11.79/1.94
% 11.79/1.94 **** run 53 fork 4 starts with strategy
% 11.79/1.94 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 11.79/1.94
% 11.79/1.94 **** run 47 fork 6 starts with strategy
% 11.79/1.94 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 11.79/1.98
% 11.79/1.98
% 11.79/1.98 fork 7: search terminated without proof.
% 11.79/2.00
% 11.79/2.00 **** run 56 fork 7 starts with strategy
% 11.79/2.00 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 12.58/2.02
% 12.58/2.02
% 12.58/2.02 fork 5: search terminated without proof.
% 12.58/2.04
% 12.58/2.04 **** run 62 fork 5 starts with strategy
% 12.58/2.04 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 12.58/2.04
% 12.58/2.04
% 12.58/2.04 fork 0: search terminated without proof.
% 12.58/2.05
% 12.58/2.05
% 12.58/2.05 fork 2: search terminated without proof.
% 12.58/2.05
% 12.58/2.05
% 12.58/2.05 fork 1: search terminated without proof.
% 12.58/2.06
% 12.58/2.06 **** run 49 fork 0 starts with strategy
% 12.58/2.06 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 12.58/2.07
% 12.58/2.07 **** run 51 fork 2 starts with strategy
% 12.58/2.07 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 12.58/2.07
% 12.58/2.07 **** run 50 fork 1 starts with strategy
% 12.58/2.07 {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 13.22/2.10
% 13.22/2.10 fork 1: search finished without proof.
% 13.22/2.10
% 13.22/2.10
% 13.22/2.10 result: proof found
% 13.22/2.10 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.22/2.10 by run 53 fork 4 strategy {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 13.22/2.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.22/2.10
% 13.22/2.10 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.22/2.10
% 13.22/2.10 run 53 fork 4 statistics:
% 13.22/2.10 ----------------------------------
% 13.22/2.10 this run seconds: 0.096457
% 13.22/2.10 total seconds: 1.584619
% 13.22/2.10 stat_given_used: 440
% 13.22/2.10 stat_given_used_at_endgame: 0
% 13.22/2.10 stat_given_candidates: 1770
% 13.22/2.10 stat_given_candidates_at_endgame: 0
% 13.22/2.10 stat_given_candidates_h: 0
% 13.22/2.10 stat_binres_derived_cl: 5800
% 13.22/2.10 stat_binres_derived_cl_h: 0
% 13.22/2.10 stat_factor_derived_cl: 376
% 13.22/2.10 stat_para_derived_cl: 0
% 13.22/2.10 stat_tautologies_discarded: 1535
% 13.22/2.10 stat_forward_subsumed: 0
% 13.22/2.10 stat_derived_cut: 760
% 13.22/2.10 stat_derived_rewritten: 0
% 13.22/2.10 stat_weight_discarded_building: 0
% 13.22/2.10 stat_weight_discarded_cl: 0
% 13.22/2.10 stat_internlimit_discarded_cl: 0
% 13.22/2.10 stat_simplified: 760 simplified 0 derived 0 given
% 13.22/2.10 stat_kept_cl: 4640
% 13.22/2.10 stat_built_cl: 6280
% 13.22/2.10 stat_hyperres_partial_cl: 0
% 13.22/2.10 stat_made_rewriters: 0
% 13.22/2.10 stat_backward_subsumed: 0
% 13.22/2.10 stat_propagated_subsumed: 0
% 13.22/2.10 stat_clsubs_attempted: 29381
% 13.22/2.10 stat_clsubs_fact_groundunit_found: 0
% 13.22/2.10 stat_clsubs_rule_groundunit_found: 1
% 13.22/2.10 stat_clsubs_top_meta_attempted: 388837
% 13.22/2.10 stat_clsubs_top_meta_failed: 359456
% 13.22/2.10 stat_clsubs_top_meta_nonpref_attempted: 388837
% 13.22/2.10 stat_clsubs_top_meta_nonpref_succeeded: 78491
% 13.22/2.10 stat_clsubs_top_meta_pref_attempted: 78491
% 13.22/2.10 stat_clsubs_top_meta_pref1_succeeded: 56297
% 13.22/2.10 stat_clsubs_top_meta_pref2_succeeded: 39186
% 13.22/2.10 stat_clsubs_top_meta_pref3_succeeded: 29381
% 13.22/2.10 stat_clsubs_top_meta_pref_succeeded: 29381
% 13.22/2.10 stat_clsubs_meta_attempted: 169999
% 13.22/2.10 stat_clsubs_meta_failed: 73989
% 13.22/2.10 stat_clsubs_predsymbs_attempted: 0
% 13.22/2.10 stat_clsubs_unit_attempted: 1316
% 13.22/2.10 stat_clsubs_full_attempted: 28065
% 13.22/2.10 stat_forwardsubs_attempted: 4640
% 13.22/2.10 stat_lit_hash_added: 32
% 13.22/2.10 stat_lit_hash_computed: 89645
% 13.22/2.10 stat_lit_hash_match_found: 3
% 13.22/2.10 stat_lit_hash_match_miss: 133185
% 13.22/2.10 stat_lit_hash_cut_ok: 760
% 13.22/2.10 stat_lit_strong_cut_ok: 0
% 13.22/2.10 stat_lit_hash_subsume_ok: 0
% 13.22/2.10 clqueue els 10000000 used 1
% 13.22/2.10 clactive els 10000000 used 441
% 13.22/2.10 clactivesubsume els 10000000 used 2629
% 13.22/2.10 queue_termbuf els 200000000 used 1441654
% 13.22/2.10 hyper_termbuf els 100000000 used 1
% 13.22/2.10 active_termbuf els 100000000 used 75146
% 13.22/2.10 varstack els 5000 last used 1
% 13.22/2.10 given_termbuf els 10000000 last used 20
% 13.22/2.10 simplified_termbuf els 10000000 last used 1
% 13.22/2.10 derived_termbuf els 10000000 last used 3
% 13.22/2.10 wr_mallocs: 2185
% 13.22/2.10 wr_callocs: 21
% 13.22/2.10 wr_reallocs: 223
% 13.22/2.10 wr_frees: 2
% 13.22/2.10 wr_malloc_bytes: 4162673892
% 13.22/2.10 wr_calloc_bytes: 112065536
% 13.22/2.10 wr_realloc_bytes: 99224
% 13.22/2.10 wr_realloc_freebytes: 0
% 13.22/2.10 ----------------------------------
%------------------------------------------------------------------------------