TSTP Solution File: SYO672-1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SYO672-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 04:37:36 EDT 2023
% Result : Unsatisfiable 10.04s 1.68s
% Output : CNFRefutation 10.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named clause_2086)
% 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(suc(Z)))))
| ~ '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'(f(X),f(suc(suc(X))))
| ~ 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'(f(Z),f(suc(suc(Z))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(suc(Z)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(s(s('0')),f(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_2086]) ).
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_921]) ).
cnf('4',plain,
'LE'(f(X),s(s(s('0')))),
inference(cnf_transformation,[],[clause_2366]) ).
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_1175]) ).
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'(s(s('0')),f(suc(suc(Z))))
| 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Y),f(suc(suc(Y))))
| 'E'(f(Z),f(suc(suc(Z))))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(suc(Z)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(s(s('0')),f(Z))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_1941]) ).
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_1030]) ).
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_1642]) ).
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(suc(Z)))
| ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(Y))
| ~ 'E'(s(s('0')),f(Z))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ iLEQ(suc(Y),suc(X))
| ~ iLEQ(suc(Z),suc(Y)) ),
inference(cnf_transformation,[],[clause_1761]) ).
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_2162]) ).
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_2026]) ).
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_179]) ).
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_1449]) ).
cnf('42',plain,
'LE'(f(X0),s(s(s('0')))),
inference(cnf_transformation,[],[clause_2366]) ).
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_2111]) ).
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_101]) ).
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_593]) ).
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_783]) ).
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,[],['43','62']) ).
cnf('70',plain,
( iLEQ(suc(suc(X)),suc(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['68','69']) ).
cnf('71',plain,
( ~ 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['65','70']) ).
cnf('72',plain,
( 'E'(s('0'),f(suc(X3)))
| 'LE'(f(X3),s('0')) ),
inference(resolution,[],['71','69']) ).
cnf('73',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','72']) ).
cnf('74',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','73']) ).
cnf('75',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(simplify,[],['74','72']) ).
cnf('76',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['71','69']) ).
cnf('77',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_362]) ).
cnf('78',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['76','77']) ).
cnf('79',plain,
( ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['75','78']) ).
cnf('80',plain,
( ~ 'LE'(f(suc(suc(suc(X)))),s('0'))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_994]) ).
cnf('81',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,[],['79','80']) ).
cnf('82',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| ~ 'E'(s('0'),f(suc(suc(suc(Y)))))
| ~ 'E'(s('0'),f(suc(suc(suc(Z)))))
| ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| ~ 'E'(s('0'),f(suc(suc(Z))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'(f(Z),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_299]) ).
cnf('83',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,[],['82']) ).
cnf('84',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','83']) ).
cnf('85',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,[],['84','57']) ).
cnf('86',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| ~ 'E'(s('0'),f(suc(suc(Y))))
| ~ 'E'(s('0'),f(suc(suc(Z))))
| 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Y),f(suc(suc(Y))))
| 'E'(f(Z),f(suc(suc(Z))))
| ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(Z)))
| ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(f(Y),f(suc(Y)))
| ~ 'E'(f(Z),f(suc(Z)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(Z))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_939]) ).
cnf('87',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,[],['86']) ).
cnf('88',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','87']) ).
cnf('89',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,[],['88','72']) ).
cnf('90',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,[],['85','89']) ).
cnf('91',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(simplify,[],['90','72']) ).
cnf('92',plain,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ 'E'(s('0'),f(suc(Z)))
| 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(Z))
| ~ iLEQ(suc(X),suc(Z))
| ~ iLEQ(suc(Y),suc(X)) ),
inference(cnf_transformation,[],[clause_1935]) ).
cnf('93',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,[],['92']) ).
cnf('94',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['76','93']) ).
cnf('95',plain,
( ~ 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['91','94']) ).
cnf('96',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,[],['81','95']) ).
cnf('97',plain,
( ~ 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['96','80']) ).
cnf('98',plain,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(cnf_transformation,[],[clause_1841]) ).
cnf('99',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','98']) ).
cnf('100',plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['43','98']) ).
cnf('101',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['99','100']) ).
cnf('102',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','98']) ).
cnf('103',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['102','100']) ).
cnf('104',plain,
( 'E'(s('0'),f(X))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),s('0')) ),
inference(resolution,[],['101','103']) ).
cnf('105',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','98']) ).
cnf('106',plain,
( ~ 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['105','100']) ).
cnf('107',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','98']) ).
cnf('108',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['107','100']) ).
cnf('109',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| iLEQ(suc(X),suc(X)) ),
inference(resolution,[],['106','108']) ).
cnf('110',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,[],['109','80']) ).
cnf('111',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,[],['104','110']) ).
cnf('112',plain,
( 'E'(s('0'),f(suc(suc(suc(X)))))
| 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['111','80']) ).
cnf('113',plain,
( 'E'('0',f(suc(suc(suc(X)))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['97','112']) ).
cnf('114',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_2357]) ).
cnf('115',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,[],['113','114']) ).
cnf('116',plain,
( ~ 'LE'(f(suc(suc(X))),s('0'))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_415]) ).
cnf('117',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,[],['79','116']) ).
cnf('118',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,[],['117','95']) ).
cnf('119',plain,
( ~ 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['118','116']) ).
cnf('120',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,[],['109','116']) ).
cnf('121',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,[],['104','120']) ).
cnf('122',plain,
( 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['121','116']) ).
cnf('123',plain,
( 'E'('0',f(suc(suc(X3))))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['119','122']) ).
cnf('124',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,[],['115','123']) ).
cnf('125',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_1108]) ).
cnf('126',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,[],['124','125']) ).
cnf('127',plain,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_2008]) ).
cnf('128',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,[],['79','127']) ).
cnf('129',plain,
( ~ 'E'(s('0'),f(suc(X)))
| 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['128','95']) ).
cnf('130',plain,
( ~ 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['129','127']) ).
cnf('131',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,[],['109','127']) ).
cnf('132',plain,
( 'E'(s('0'),f(suc(X)))
| 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['104','131']) ).
cnf('133',plain,
( 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference(resolution,[],['132','127']) ).
cnf('134',plain,
( 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['130','133']) ).
cnf('135',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,[],['126','134']) ).
cnf('136',plain,
( 'E'('0',f(suc(suc(X))))
| 'LE'(f(X),'0') ),
inference(resolution,[],['119','122']) ).
cnf('137',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['135','136']) ).
cnf('138',plain,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(cnf_transformation,[],[clause_1753]) ).
cnf('139',plain,
( ~ 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['79','138']) ).
cnf('140',plain,
( 'E'(s('0'),f(X))
| iLEQ(suc(X),suc(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['109','138']) ).
cnf('141',plain,
( 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['104','140']) ).
cnf('142',plain,
( 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['141','138']) ).
cnf('143',plain,
( iLEQ(suc(X),suc(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['139','142']) ).
cnf('144',plain,
( ~ 'E'(s('0'),f(X))
| 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['143','95']) ).
cnf('145',plain,
( ~ 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(resolution,[],['144','138']) ).
cnf('146',plain,
( 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['145','142']) ).
cnf('147',plain,
( ~ 'E'(f(X),f(suc(X)))
| iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['137','146']) ).
cnf('148',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_528]) ).
cnf('149',plain,
( iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['147','148']) ).
cnf('150',plain,
( iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['149','134']) ).
cnf('151',plain,
( ~ 'E'('0',f(suc(suc(suc(X)))))
| ~ 'E'('0',f(suc(suc(suc(Y)))))
| ~ 'E'('0',f(suc(suc(suc(Z)))))
| ~ 'E'(f(X),f(suc(suc(X))))
| ~ 'E'(f(Y),f(suc(suc(Y))))
| ~ 'E'(f(Z),f(suc(suc(Z))))
| ~ '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(Y),suc(Z))
| ~ iLEQ(suc(Z),suc(X))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z)) ),
inference(cnf_transformation,[],[clause_848]) ).
cnf('152',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,[],['151']) ).
cnf('153',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,[],['113','152']) ).
cnf('154',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,[],['153','123']) ).
cnf('155',plain,
( 'E'(f(X),f(suc(suc(X))))
| 'E'(f(Y),f(suc(suc(Y))))
| 'E'(f(Z),f(suc(suc(Z))))
| ~ '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_717]) ).
cnf('156',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,[],['155']) ).
cnf('157',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,[],['154','156']) ).
cnf('158',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,[],['157','134']) ).
cnf('159',plain,
( ~ 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X3),suc(X3))
| ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['158','136']) ).
cnf('160',plain,
( ~ 'E'(f(X),f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['159','146']) ).
cnf('161',plain,
( 'E'(f(X),f(suc(X)))
| 'E'(f(Y),f(suc(Y)))
| 'E'(f(Z),f(suc(Z)))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(Y)))
| ~ 'E'('0',f(suc(Z)))
| ~ iLEQ(suc(Y),suc(Z))
| ~ iLEQ(suc(Z),suc(X))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(Z)) ),
inference(cnf_transformation,[],[clause_85]) ).
cnf('162',plain,
( 'E'(f(X),f(suc(X)))
| ~ 'E'('0',f(suc(X)))
| ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X)) ),
inference(factorization,[],['161']) ).
cnf('163',plain,
( ~ iLEQ(suc(X3),suc(X3))
| 'LE'(f(X3),'0')
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(X3)) ),
inference(resolution,[],['160','162']) ).
cnf('164',plain,
( ~ iLEQ(suc(X),suc(X))
| ~ 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference(simplify,[],['163','134']) ).
cnf('165',plain,
( ~ 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
inference(resolution,[],['150','164']) ).
cnf('166',plain,
'LE'(f(X),'0'),
inference(simplify,[],['165','146']) ).
cnf('167',plain,
~ 'LE'(f(z),'0'),
inference(cnf_transformation,[],[clause_1160]) ).
cnf('168',plain,
$false,
inference(resolution,[],['166','167']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO672-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % Command : gkc %s
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 02:56:40 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.40
% 0.20/0.40 input clause set summed statistics:
% 0.20/0.40 ----------------------------------
% 0.20/0.40 in_clause_count: 104
% 0.20/0.40 in_rule_clause_count: 104
% 0.20/0.40 in_fact_clause_count: 0
% 0.20/0.40 in_answer_clause_count: 0
% 0.20/0.40 in_ground_clause_count: 1
% 0.20/0.40 in_unit_clause_count: 2
% 0.20/0.40 in_horn_clause_count: 26
% 0.20/0.40 in_pos_clause_count: 1
% 0.20/0.40 in_neg_clause_count: 4
% 0.20/0.40 in_poseq_clause_count: 0
% 0.20/0.40 in_negeq_clause_count: 0
% 0.20/0.40 in_unitposeq_clause_count: 0
% 0.20/0.40 in_chain_clause_count: 0
% 0.20/0.40 in_min_length: 1
% 0.20/0.40 in_max_length: 20
% 0.20/0.40 in_min_depth: 2
% 0.20/0.40 in_max_depth: 5
% 0.20/0.40 in_min_size: 4
% 0.20/0.40 in_max_size: 139
% 0.20/0.40 in_min_vars: 0
% 0.20/0.40 in_max_vars: 3
% 0.20/0.40 in_extaxiom_count: 0
% 0.20/0.40 in_axiom_count: 104
% 0.20/0.40 in_assumption_count: 0
% 0.20/0.40 in_goal_count: 0
% 0.20/0.40 in_neg_goal_count: 0
% 0.20/0.40 in_pos_goal_count: 0
% 0.20/0.40 in_posunit_goal_count: 0
% 0.20/0.40
% 0.20/0.40 auto guide:
% 0.20/0.40 -----------
% 0.20/0.40 {
% 0.20/0.40 "print":1,
% 0.20/0.40 "print_level": 15,
% 0.20/0.40 "max_size": 0,
% 0.20/0.40 "max_depth": 0,
% 0.20/0.40 "max_length": 0,
% 0.20/0.40 "max_dseconds": 0,
% 0.20/0.40 "equality":0,
% 0.20/0.40 "runs":[
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":2, "sine":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "sine":1, "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "sine":2, "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.40 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.40 {"sine":2, "var_weight":70, "repeat_var_weight":70, "max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "sine":5, "strategy":["unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "var_weight":70, "repeat_var_weight":70, "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":2, "sine":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "sine":1, "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "sine":2, "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.40 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.40 {"sine":2, "var_weight":70, "repeat_var_weight":70, "max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.20/0.40 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit", "posunitpara"], "query_preference":0, "sine":2},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.40
% 0.20/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
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% 6.99/1.32
% 6.99/1.32
% 6.99/1.32 fork 3: search terminated without proof.
% 7.37/1.33
% 7.37/1.33
% 7.37/1.33 fork 0: search terminated without proof.
% 7.37/1.33
% 7.37/1.33
% 7.37/1.33 fork 2: search terminated without proof.
% 7.37/1.34
% 7.37/1.34 **** run 60 fork 3 starts with strategy
% 7.37/1.34 {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 7.48/1.35
% 7.48/1.35 **** run 57 fork 0 starts with strategy
% 7.48/1.35 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 7.48/1.35
% 7.48/1.35 **** run 59 fork 2 starts with strategy
% 7.48/1.35 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 7.48/1.38
% 7.48/1.38
% 7.48/1.38 fork 1: search terminated without proof.
% 7.48/1.40
% 7.48/1.40 **** run 58 fork 1 starts with strategy
% 7.48/1.40 {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 8.75/1.53
% 8.75/1.53 fork 5: search finished without proof.
% 8.75/1.55
% 8.75/1.55 **** run 62 fork 5 starts with strategy
% 8.75/1.55 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 9.83/1.66
% 9.83/1.66 fork 7: search finished without proof.
% 9.83/1.68
% 9.83/1.68 **** run 64 fork 7 starts with strategy
% 9.83/1.68 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 10.04/1.68
% 10.04/1.68
% 10.04/1.68 result: proof found
% 10.04/1.68 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.04/1.68 by run 53 fork 4 strategy {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 10.04/1.68 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.04/1.68
% 10.04/1.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.04/1.68
% 10.04/1.68 run 53 fork 4 statistics:
% 10.04/1.68 ----------------------------------
% 10.04/1.68 this run seconds: 0.296719
% 10.04/1.68 total seconds: 1.201943
% 10.04/1.68 stat_given_used: 621
% 10.04/1.68 stat_given_used_at_endgame: 0
% 10.04/1.68 stat_given_candidates: 2467
% 10.04/1.68 stat_given_candidates_at_endgame: 0
% 10.04/1.68 stat_given_candidates_h: 0
% 10.04/1.68 stat_binres_derived_cl: 10007
% 10.04/1.68 stat_binres_derived_cl_h: 0
% 10.04/1.68 stat_factor_derived_cl: 4239
% 10.04/1.68 stat_para_derived_cl: 0
% 10.04/1.68 stat_tautologies_discarded: 3727
% 10.04/1.68 stat_forward_subsumed: 0
% 10.04/1.68 stat_derived_cut: 713
% 10.04/1.68 stat_derived_rewritten: 0
% 10.04/1.68 stat_weight_discarded_building: 0
% 10.04/1.68 stat_weight_discarded_cl: 0
% 10.04/1.68 stat_internlimit_discarded_cl: 0
% 10.04/1.68 stat_simplified: 713 simplified 0 derived 0 given
% 10.04/1.68 stat_kept_cl: 10518
% 10.04/1.68 stat_built_cl: 12473
% 10.04/1.68 stat_hyperres_partial_cl: 0
% 10.04/1.68 stat_made_rewriters: 0
% 10.04/1.68 stat_backward_subsumed: 0
% 10.04/1.68 stat_propagated_subsumed: 0
% 10.04/1.68 stat_clsubs_attempted: 44330
% 10.04/1.68 stat_clsubs_fact_groundunit_found: 0
% 10.04/1.68 stat_clsubs_rule_groundunit_found: 1
% 10.04/1.68 stat_clsubs_top_meta_attempted: 746930
% 10.04/1.68 stat_clsubs_top_meta_failed: 702600
% 10.04/1.68 stat_clsubs_top_meta_nonpref_attempted: 746930
% 10.04/1.68 stat_clsubs_top_meta_nonpref_succeeded: 171053
% 10.04/1.68 stat_clsubs_top_meta_pref_attempted: 171053
% 10.04/1.68 stat_clsubs_top_meta_pref1_succeeded: 92165
% 10.04/1.68 stat_clsubs_top_meta_pref2_succeeded: 58854
% 10.04/1.68 stat_clsubs_top_meta_pref3_succeeded: 44330
% 10.04/1.68 stat_clsubs_top_meta_pref_succeeded: 44330
% 10.04/1.68 stat_clsubs_meta_attempted: 766473
% 10.04/1.68 stat_clsubs_meta_failed: 285418
% 10.04/1.68 stat_clsubs_predsymbs_attempted: 0
% 10.04/1.68 stat_clsubs_unit_attempted: 1742
% 10.04/1.68 stat_clsubs_full_attempted: 42588
% 10.04/1.68 stat_forwardsubs_attempted: 10518
% 10.04/1.68 stat_lit_hash_added: 32
% 10.04/1.68 stat_lit_hash_computed: 259720
% 10.04/1.68 stat_lit_hash_match_found: 3
% 10.04/1.68 stat_lit_hash_match_miss: 404244
% 10.04/1.68 stat_lit_hash_cut_ok: 713
% 10.04/1.68 stat_lit_strong_cut_ok: 0
% 10.04/1.68 stat_lit_hash_subsume_ok: 0
% 10.04/1.68 clqueue els 10000000 used 1
% 10.04/1.68 clactive els 10000000 used 622
% 10.04/1.68 clactivesubsume els 10000000 used 3715
% 10.04/1.68 queue_termbuf els 200000000 used 4658057
% 10.04/1.68 hyper_termbuf els 100000000 used 1
% 10.04/1.68 active_termbuf els 100000000 used 146544
% 10.04/1.68 varstack els 5000 last used 1
% 10.04/1.68 given_termbuf els 10000000 last used 20
% 10.04/1.68 simplified_termbuf els 10000000 last used 1
% 10.04/1.68 derived_termbuf els 10000000 last used 3
% 10.04/1.68 wr_mallocs: 3157
% 10.04/1.68 wr_callocs: 21
% 10.04/1.68 wr_reallocs: 658
% 10.04/1.68 wr_frees: 4
% 10.04/1.68 wr_malloc_bytes: 4162735908
% 10.04/1.68 wr_calloc_bytes: 112065536
% 10.04/1.68 wr_realloc_bytes: 190240
% 10.04/1.68 wr_realloc_freebytes: 0
% 10.04/1.68 ----------------------------------
%------------------------------------------------------------------------------