TSTP Solution File: SYO663-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYO663-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n002.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 04:37:34 EDT 2023

% Result   : Unsatisfiable 8.12s 1.52s
% Output   : CNFRefutation 8.12s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause_12)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(Y))))
    | ~ 'E'(s('0'),f(suc(suc(Z))))
    | ~ 'E'(s('0'),f(suc(suc(U))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(s('0'),f(suc(Z)))
    | ~ 'E'(s('0'),f(suc(U)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(f(Z),f(suc(Z)))
    | ~ 'E'(f(U),f(suc(U)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ 'E'(s('0'),f(Z))
    | ~ 'E'(s('0'),f(U))
    | ~ iLEQ(suc(X),suc(Y))
    | ~ iLEQ(suc(Y),suc(U))
    | ~ iLEQ(suc(U),suc(Z)) ),
    inference(cnf_transformation,[],[clause_12]) ).

cnf('2',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(suc(Y))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ iLEQ(suc(Y),suc(X))
    | ~ iLEQ(suc(Y),suc(Y)) ),
    inference(factorization,[],['1']) ).

cnf('3',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X)) ),
    inference(factorization,[],['2']) ).

cnf('4',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_312]) ).

cnf('5',plain,
    'LE'(f(X),s(s('0'))),
    inference(cnf_transformation,[],[clause_216]) ).

cnf('6',plain,
    ( 'E'(s('0'),f(suc(suc(X))))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['4','5']) ).

cnf('7',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,[],['3','6']) ).

cnf('8',plain,
    ( ~ 'LE'(f(suc(X)),s(s('0')))
    | 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(cnf_transformation,[],[clause_564]) ).

cnf('9',plain,
    ( 'E'(s('0'),f(suc(X3)))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['8','5']) ).

cnf('10',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['7','9']) ).

cnf('11',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(s('0'),f(suc(Y)))
    | ~ 'E'(s('0'),f(suc(Z)))
    | ~ 'E'(s('0'),f(suc(U)))
    | 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | 'E'(f(Z),f(suc(Z)))
    | 'E'(f(U),f(suc(U)))
    | ~ 'E'(s('0'),f(X))
    | ~ 'E'(s('0'),f(Y))
    | ~ 'E'(s('0'),f(Z))
    | ~ 'E'(s('0'),f(U))
    | ~ iLEQ(suc(X),suc(Y))
    | ~ iLEQ(suc(Y),suc(U))
    | ~ iLEQ(suc(U),suc(Z)) ),
    inference(cnf_transformation,[],[clause_371]) ).

cnf('12',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))
    | ~ iLEQ(suc(Y),suc(Y)) ),
    inference(factorization,[],['11']) ).

cnf('13',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,[],['12']) ).

cnf('14',plain,
    ( 'E'(s('0'),f(suc(X)))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['8','5']) ).

cnf('15',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0')) ),
    inference(resolution,[],['13','14']) ).

cnf('16',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_268]) ).

cnf('17',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(resolution,[],['16','14']) ).

cnf('18',plain,
    ( ~ 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_93]) ).

cnf('19',plain,
    ( ~ 'LE'(f(X0),s(s('0')))
    | 'E'(s('0'),f(X0))
    | 'LE'(f(X0),s('0')) ),
    inference(cnf_transformation,[],[clause_327]) ).

cnf('20',plain,
    'LE'(f(X0),s(s('0'))),
    inference(cnf_transformation,[],[clause_216]) ).

cnf('21',plain,
    ( 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0')) ),
    inference(simplify,[],['19','20']) ).

cnf('22',plain,
    ( 'E'(s('0'),f(suc(suc(X))))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['18','21']) ).

cnf('23',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['17','22']) ).

cnf('24',plain,
    ( ~ 'E'(s('0'),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(X)))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | iLEQ(suc(X),suc(X)) ),
    inference(cnf_transformation,[],[clause_55]) ).

cnf('25',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,[],['24','6']) ).

cnf('26',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X)) ),
    inference(simplify,[],['25','9']) ).

cnf('27',plain,
    ( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | ~ '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,[],['23','26']) ).

cnf('28',plain,
    ( iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['27','22']) ).

cnf('29',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | ~ '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,[],['15','28']) ).

cnf('30',plain,
    ( 'E'(f(suc(suc(X))),f(suc(suc(suc(X)))))
    | 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['29','22']) ).

cnf('31',plain,
    ( ~ iLEQ(suc(suc(suc(X))),suc(suc(suc(X))))
    | ~ '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,[],['10','30']) ).

cnf('32',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,[],['31','28']) ).

cnf('33',plain,
    ( 'LE'(f(suc(suc(X))),s('0'))
    | 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['32','22']) ).

cnf('34',plain,
    ( 'E'('0',f(suc(suc(X))))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['33','18']) ).

cnf('35',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(cnf_transformation,[],[clause_448]) ).

cnf('36',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['34','35']) ).

cnf('37',plain,
    ( ~ 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_539]) ).

cnf('38',plain,
    ( 'E'(s('0'),f(suc(X)))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['21','37']) ).

cnf('39',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['17','38']) ).

cnf('40',plain,
    ( iLEQ(suc(suc(X)),suc(suc(X)))
    | ~ 'E'(s('0'),f(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['39','26']) ).

cnf('41',plain,
    ( iLEQ(suc(suc(X)),suc(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['40','38']) ).

cnf('42',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | ~ 'E'(s('0'),f(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['15','41']) ).

cnf('43',plain,
    ( 'E'(f(suc(X)),f(suc(suc(X))))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['42','38']) ).

cnf('44',plain,
    ( ~ iLEQ(suc(suc(X)),suc(suc(X)))
    | ~ 'E'(s('0'),f(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['10','43']) ).

cnf('45',plain,
    ( ~ 'E'(s('0'),f(suc(X)))
    | 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['44','41']) ).

cnf('46',plain,
    ( 'LE'(f(suc(X)),s('0'))
    | 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['45','38']) ).

cnf('47',plain,
    ( 'E'('0',f(suc(X3)))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['46','37']) ).

cnf('48',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['36','47']) ).

cnf('49',plain,
    ( 'E'('0',f(suc(X)))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['46','37']) ).

cnf('50',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_324]) ).

cnf('51',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['49','50']) ).

cnf('52',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(cnf_transformation,[],[clause_458]) ).

cnf('53',plain,
    ( 'E'(s('0'),f(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['21','52']) ).

cnf('54',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['17','53']) ).

cnf('55',plain,
    ( ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['26','54']) ).

cnf('56',plain,
    ( 'LE'(f(X),s('0'))
    | iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['55','53']) ).

cnf('57',plain,
    ( iLEQ(suc(X),suc(X))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['56','52']) ).

cnf('58',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['15','57']) ).

cnf('59',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['58','53']) ).

cnf('60',plain,
    ( ~ 'E'(s('0'),f(X))
    | ~ iLEQ(suc(X),suc(X))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['10','59']) ).

cnf('61',plain,
    ( ~ 'E'(s('0'),f(X))
    | 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['60','57']) ).

cnf('62',plain,
    ( 'LE'(f(X),s('0'))
    | 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['61','53']) ).

cnf('63',plain,
    ( 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['62','52']) ).

cnf('64',plain,
    ( 'E'(f(X),f(suc(X)))
    | iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['51','63']) ).

cnf('65',plain,
    ( iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3))
    | 'LE'(f(X3),'0') ),
    inference(resolution,[],['48','64']) ).

cnf('66',plain,
    ( iLEQ(suc(X),suc(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['65','63']) ).

cnf('67',plain,
    ( 'E'(f(X),f(suc(X)))
    | 'E'(f(Y),f(suc(Y)))
    | 'E'(f(Z),f(suc(Z)))
    | 'E'(f(U),f(suc(U)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ 'E'('0',f(suc(Z)))
    | ~ 'E'('0',f(suc(U)))
    | ~ iLEQ(suc(Y),suc(X))
    | ~ iLEQ(suc(Z),suc(Y))
    | ~ iLEQ(suc(U),suc(Z))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y))
    | ~ 'E'('0',f(Z))
    | ~ 'E'('0',f(U)) ),
    inference(cnf_transformation,[],[clause_325]) ).

cnf('68',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))
    | ~ iLEQ(suc(Y),suc(Y))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y)) ),
    inference(factorization,[],['67']) ).

cnf('69',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(factorization,[],['68']) ).

cnf('70',plain,
    ( 'LE'(f(X3),'0')
    | 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['66','69']) ).

cnf('71',plain,
    ( 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['70','47']) ).

cnf('72',plain,
    ( 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(resolution,[],['62','52']) ).

cnf('73',plain,
    ~ 'LE'(f(z),'0'),
    inference(cnf_transformation,[],[clause_292]) ).

cnf('74',plain,
    'E'('0',f(z)),
    inference(resolution,[],['72','73']) ).

cnf('75',plain,
    ~ 'LE'(f(z),'0'),
    inference(cnf_transformation,[],[clause_292]) ).

cnf('76',plain,
    'E'(f(z),f(suc(z))),
    inference(resolution,[then_simplify],['71','74','75']) ).

cnf('77',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'('0',f(suc(suc(Y))))
    | ~ 'E'('0',f(suc(suc(Z))))
    | ~ 'E'('0',f(suc(suc(U))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'(f(Z),f(suc(Z)))
    | ~ 'E'(f(U),f(suc(U)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ 'E'('0',f(suc(Z)))
    | ~ 'E'('0',f(suc(U)))
    | ~ iLEQ(suc(X),suc(Y))
    | ~ iLEQ(suc(Z),suc(X))
    | ~ iLEQ(suc(U),suc(Z))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y))
    | ~ 'E'('0',f(Z))
    | ~ 'E'('0',f(U)) ),
    inference(cnf_transformation,[],[clause_593]) ).

cnf('78',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'('0',f(suc(suc(Y))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'(f(Y),f(suc(Y)))
    | ~ 'E'('0',f(suc(X)))
    | ~ 'E'('0',f(suc(Y)))
    | ~ iLEQ(suc(X),suc(Y))
    | ~ iLEQ(suc(Y),suc(Y))
    | ~ 'E'('0',f(X))
    | ~ 'E'('0',f(Y)) ),
    inference(factorization,[],['77']) ).

cnf('79',plain,
    ( ~ 'E'('0',f(suc(suc(X))))
    | ~ 'E'(f(X),f(suc(X)))
    | ~ 'E'('0',f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X)) ),
    inference(factorization,[],['78']) ).

cnf('80',plain,
    ( 'LE'(f(X3),'0')
    | ~ 'E'(f(X3),f(suc(X3)))
    | ~ 'E'('0',f(suc(X3)))
    | ~ iLEQ(suc(X3),suc(X3))
    | ~ 'E'('0',f(X3)) ),
    inference(resolution,[],['34','79']) ).

cnf('81',plain,
    ( ~ 'E'(f(X),f(suc(X)))
    | ~ iLEQ(suc(X),suc(X))
    | ~ 'E'('0',f(X))
    | 'LE'(f(X),'0') ),
    inference(simplify,[],['80','47']) ).

cnf('82',plain,
    'E'('0',f(z)),
    inference(resolution,[],['72','73']) ).

cnf('83',plain,
    iLEQ(suc(z),suc(z)),
    inference(resolution,[then_simplify],['76','48','82','75']) ).

cnf('84',plain,
    $false,
    inference(resolution,[then_simplify],['76','81','83','82','75']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO663-1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13  % Command  : gkc %s
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 04:53:32 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.40  
% 0.21/0.40  input clause set summed statistics:
% 0.21/0.40  ----------------------------------
% 0.21/0.40  in_clause_count:                    44
% 0.21/0.40  in_rule_clause_count:               44
% 0.21/0.40  in_fact_clause_count:                0
% 0.21/0.40  in_answer_clause_count:              0
% 0.21/0.40  in_ground_clause_count:              1
% 0.21/0.40  in_unit_clause_count:                2
% 0.21/0.40  in_horn_clause_count:               14
% 0.21/0.40  in_pos_clause_count:                 1
% 0.21/0.40  in_neg_clause_count:                 3
% 0.21/0.40  in_poseq_clause_count:               0
% 0.21/0.40  in_negeq_clause_count:               0
% 0.21/0.40  in_unitposeq_clause_count:           0
% 0.21/0.40  in_chain_clause_count:               0
% 0.21/0.40  in_min_length:             1
% 0.21/0.40  in_max_length:            19
% 0.21/0.40  in_min_depth:              2
% 0.21/0.40  in_max_depth:              4
% 0.21/0.40  in_min_size:               4
% 0.21/0.40  in_max_size:             111
% 0.21/0.40  in_min_vars:               0
% 0.21/0.40  in_max_vars:               4
% 0.21/0.40  in_extaxiom_count:                 0
% 0.21/0.40  in_axiom_count:                   44
% 0.21/0.40  in_assumption_count:               0
% 0.21/0.40  in_goal_count:                     0
% 0.21/0.40  in_neg_goal_count:                 0
% 0.21/0.40  in_pos_goal_count:                 0
% 0.21/0.40  in_posunit_goal_count:             0
% 0.21/0.40  
% 0.21/0.40  auto guide:
% 0.21/0.40  -----------
% 0.21/0.40  {
% 0.21/0.40  "print":1,
% 0.21/0.40  "print_level": 15,
% 0.21/0.40  "max_size": 0,
% 0.21/0.40  "max_depth": 0,
% 0.21/0.40  "max_length": 0,
% 0.21/0.40  "max_dseconds": 0,
% 0.21/0.40  "equality":0,
% 0.21/0.40  "runs":[
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.21/0.40  
% 0.21/0.40  ]}
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  **** run 1 fork 0 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 2 fork 1 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 3 fork 2 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 4 fork 3 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 5 fork 4 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.41  
% 0.21/0.41  **** run 7 fork 6 starts with strategy
% 0.21/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.41  
% 0.21/0.41  **** run 8 fork 7 starts with strategy
% 0.21/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.42  
% 0.21/0.42  **** run 6 fork 5 starts with strategy
% 0.21/0.42  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.52  
% 0.21/0.52  fork 2: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 0: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 6: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 3: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 7: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 4: search finished without proof.
% 0.21/0.53  
% 0.21/0.53  fork 5: search finished without proof.
% 0.21/0.54  
% 0.21/0.54  **** run 11 fork 2 starts with strategy
% 0.21/0.54  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.21/0.54  
% 0.21/0.54  fork 1: search finished without proof.
% 0.21/0.55  
% 0.21/0.55  **** run 9 fork 0 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.55  
% 0.21/0.55  **** run 15 fork 6 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.21/0.55  
% 0.21/0.55  **** run 12 fork 3 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.21/0.55  
% 0.21/0.55  **** run 16 fork 7 starts with strategy
% 0.21/0.55  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.21/0.55  
% 0.21/0.55  **** run 13 fork 4 starts with strategy
% 0.21/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.56  
% 0.21/0.56  **** run 14 fork 5 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 10 fork 1 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.66  
% 0.21/0.66  
% 0.21/0.66  fork 2: search terminated without proof.
% 0.21/0.66  
% 0.21/0.66  
% 0.21/0.66  fork 6: search terminated without proof.
% 0.21/0.66  
% 0.21/0.66  
% 0.21/0.66  fork 0: search terminated without proof.
% 0.21/0.67  
% 0.21/0.67  
% 0.21/0.67  fork 4: search terminated without proof.
% 0.21/0.67  
% 0.21/0.67  
% 0.21/0.67  fork 5: search terminated without proof.
% 0.21/0.68  
% 0.21/0.68  **** run 19 fork 2 starts with strategy
% 0.21/0.68  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.21/0.68  
% 0.21/0.68  
% 0.21/0.68  fork 7: search terminated without proof.
% 0.21/0.68  
% 0.21/0.68  **** run 17 fork 0 starts with strategy
% 0.21/0.68  
% 0.21/0.68  **** run 23 fork 6 starts with strategy
% 0.21/0.68  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 0.21/0.68  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.21/0.68  
% 0.21/0.68  
% 0.21/0.68  fork 3: search terminated without proof.
% 0.21/0.68  
% 0.21/0.68  **** run 21 fork 4 starts with strategy
% 0.21/0.68  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.21/0.69  
% 0.21/0.69  **** run 22 fork 5 starts with strategy
% 0.21/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 1.88/0.70  
% 1.88/0.70  **** run 24 fork 7 starts with strategy
% 1.88/0.70  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 1.88/0.70  
% 1.88/0.70  **** run 20 fork 3 starts with strategy
% 1.88/0.70  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 2.45/0.73  
% 2.45/0.73  
% 2.45/0.73  fork 1: search terminated without proof.
% 2.45/0.75  
% 2.45/0.75  **** run 18 fork 1 starts with strategy
% 2.45/0.75  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 3.18/0.80  
% 3.18/0.80  fork 2: search finished without proof.
% 3.18/0.81  
% 3.18/0.81  fork 0: search finished without proof.
% 3.18/0.81  
% 3.18/0.81  **** run 27 fork 2 starts with strategy
% 3.18/0.81  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 3.18/0.82  
% 3.18/0.82  
% 3.18/0.82  fork 7: search terminated without proof.
% 3.18/0.82  
% 3.18/0.82  
% 3.18/0.82  fork 4: search terminated without proof.
% 3.18/0.82  
% 3.18/0.82  
% 3.18/0.82  fork 6: search terminated without proof.
% 3.18/0.82  
% 3.18/0.82  **** run 25 fork 0 starts with strategy
% 3.18/0.82  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 3.18/0.82  
% 3.18/0.82  
% 3.18/0.82  fork 5: search terminated without proof.
% 3.18/0.83  
% 3.18/0.83  **** run 32 fork 7 starts with strategy
% 3.18/0.83  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 3.18/0.84  
% 3.18/0.84  **** run 29 fork 4 starts with strategy
% 3.18/0.84  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 3.18/0.84  
% 3.18/0.84  
% 3.18/0.84  fork 3: search terminated without proof.
% 3.18/0.84  
% 3.18/0.84  **** run 31 fork 6 starts with strategy
% 3.18/0.84  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 3.18/0.84  
% 3.18/0.84  **** run 30 fork 5 starts with strategy
% 3.18/0.84  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 3.18/0.85  
% 3.18/0.85  **** run 28 fork 3 starts with strategy
% 3.18/0.85  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 3.18/0.86  
% 3.18/0.86  fork 2: search finished without proof.
% 3.18/0.87  
% 3.18/0.87  **** run 35 fork 2 starts with strategy
% 3.18/0.87  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 3.18/0.88  
% 3.18/0.88  fork 4: search finished without proof.
% 3.18/0.88  
% 3.18/0.88  fork 6: search finished without proof.
% 3.94/0.90  
% 3.94/0.90  **** run 37 fork 4 starts with strategy
% 3.94/0.90  {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 3.98/0.90  
% 3.98/0.90  **** run 39 fork 6 starts with strategy
% 3.98/0.90  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 4.01/0.94  
% 4.01/0.94  
% 4.01/0.94  fork 0: search terminated without proof.
% 4.01/0.95  
% 4.01/0.95  
% 4.01/0.95  fork 7: search terminated without proof.
% 4.01/0.95  
% 4.01/0.95  fork 4: search finished without proof.
% 4.01/0.96  
% 4.01/0.96  **** run 33 fork 0 starts with strategy
% 4.01/0.96  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 4.01/0.96  
% 4.01/0.96  
% 4.01/0.96  fork 5: search terminated without proof.
% 4.01/0.97  
% 4.01/0.97  **** run 40 fork 7 starts with strategy
% 4.01/0.97  {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 4.01/0.97  
% 4.01/0.97  **** run 45 fork 4 starts with strategy
% 4.01/0.97  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 4.01/0.98  
% 4.01/0.98  
% 4.01/0.98  fork 3: search terminated without proof.
% 4.01/0.98  
% 4.01/0.98  **** run 38 fork 5 starts with strategy
% 4.01/0.98  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.01/0.99  
% 4.01/0.99  
% 4.01/0.99  fork 2: search terminated without proof.
% 4.01/0.99  
% 4.01/0.99  **** run 36 fork 3 starts with strategy
% 4.01/0.99  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.71/1.01  
% 4.71/1.01  **** run 43 fork 2 starts with strategy
% 4.71/1.01  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.71/1.08  
% 4.71/1.08  
% 4.71/1.08  fork 0: search terminated without proof.
% 5.33/1.10  
% 5.33/1.10  **** run 41 fork 0 starts with strategy
% 5.33/1.10  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 5.33/1.10  
% 5.33/1.10  fork 5: search finished without proof.
% 5.33/1.11  
% 5.33/1.11  
% 5.33/1.11  fork 3: search terminated without proof.
% 5.33/1.12  
% 5.33/1.12  **** run 46 fork 5 starts with strategy
% 5.33/1.12  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 5.33/1.13  
% 5.33/1.13  **** run 44 fork 3 starts with strategy
% 5.33/1.13  {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 8.12/1.52  
% 8.12/1.52  
% 8.12/1.52  result: proof found
% 8.12/1.52  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 8.12/1.52  by run 41 fork 0 strategy {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 8.12/1.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 8.12/1.52  
% 8.12/1.52  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 8.12/1.52  
% 8.12/1.52  run 41 fork 0 statistics:
% 8.12/1.52  ----------------------------------
% 8.12/1.52  this run seconds: 0.408084
% 8.12/1.52  total seconds: 1.118966
% 8.12/1.52  stat_given_used: 1028
% 8.12/1.52  stat_given_used_at_endgame: 0
% 8.12/1.52  stat_given_candidates:   7083
% 8.12/1.52  stat_given_candidates_at_endgame: 0
% 8.12/1.52  stat_given_candidates_h: 0
% 8.12/1.52  stat_binres_derived_cl:   12950
% 8.12/1.52  stat_binres_derived_cl_h: 0
% 8.12/1.52  stat_factor_derived_cl: 5063
% 8.12/1.52  stat_para_derived_cl: 0
% 8.12/1.52  stat_tautologies_discarded: 3504
% 8.12/1.52  stat_forward_subsumed: 1
% 8.12/1.52  stat_derived_cut: 3176
% 8.12/1.52  stat_derived_rewritten: 0
% 8.12/1.52  stat_weight_discarded_building: 0
% 8.12/1.52  stat_weight_discarded_cl: 0
% 8.12/1.52  stat_internlimit_discarded_cl: 0
% 8.12/1.52  stat_simplified:  3139 simplified 0 derived 0 given
% 8.12/1.52  stat_kept_cl: 14507
% 8.12/1.52  stat_built_cl: 19702
% 8.12/1.52  stat_hyperres_partial_cl: 0
% 8.12/1.52  stat_made_rewriters: 0
% 8.12/1.52  stat_backward_subsumed: 0
% 8.12/1.52  stat_propagated_subsumed: 0
% 8.12/1.52  stat_clsubs_attempted:                    276203
% 8.12/1.52  stat_clsubs_fact_groundunit_found:             0
% 8.12/1.52  stat_clsubs_rule_groundunit_found:            10
% 8.12/1.52  stat_clsubs_top_meta_attempted:            2548904
% 8.12/1.52  stat_clsubs_top_meta_failed:               2272701
% 8.12/1.52  stat_clsubs_top_meta_nonpref_attempted:             2548904
% 8.12/1.52  stat_clsubs_top_meta_nonpref_succeeded:              499839
% 8.12/1.52  stat_clsubs_top_meta_pref_attempted:                 499839
% 8.12/1.52  stat_clsubs_top_meta_pref1_succeeded:                374331
% 8.12/1.52  stat_clsubs_top_meta_pref2_succeeded:                334901
% 8.12/1.52  stat_clsubs_top_meta_pref3_succeeded:                276203
% 8.12/1.52  stat_clsubs_top_meta_pref_succeeded:                 276203
% 8.12/1.52  stat_clsubs_meta_attempted:              1985155
% 8.12/1.52  stat_clsubs_meta_failed:                  769063
% 8.12/1.52  stat_clsubs_predsymbs_attempted:               0
% 8.12/1.52  stat_clsubs_unit_attempted:                 5335
% 8.12/1.52  stat_clsubs_full_attempted:               270868
% 8.12/1.52  stat_forwardsubs_attempted:                14509
% 8.12/1.52  stat_lit_hash_added:                     39
% 8.12/1.52  stat_lit_hash_computed:              349908
% 8.12/1.52  stat_lit_hash_match_found:               57
% 8.12/1.52  stat_lit_hash_match_miss:            543208
% 8.12/1.52  stat_lit_hash_cut_ok:                  3183
% 8.12/1.52  stat_lit_strong_cut_ok:                   0
% 8.12/1.52  stat_lit_hash_subsume_ok:                 1
% 8.12/1.52  clqueue els 10000000 used 1
% 8.12/1.52  clactive els 10000000 used 1029
% 8.12/1.52  clactivesubsume els 10000000 used 6145
% 8.12/1.52  queue_termbuf els 200000000 used 4903935
% 8.12/1.52  hyper_termbuf els 100000000 used 1
% 8.12/1.52  active_termbuf els 100000000 used 239787
% 8.12/1.52  varstack els 5000 last used 1
% 8.12/1.52  given_termbuf els 10000000 last used 1
% 8.12/1.52  simplified_termbuf els 10000000 last used 1
% 8.12/1.52  derived_termbuf els 10000000 last used 66
% 8.12/1.52  wr_mallocs: 4019
% 8.12/1.52  wr_callocs: 21
% 8.12/1.52  wr_reallocs: 931
% 8.12/1.52  wr_frees: 2
% 8.12/1.52  wr_malloc_bytes: 4162732692
% 8.12/1.52  wr_calloc_bytes: 112065536
% 8.12/1.52  wr_realloc_bytes: 297296
% 8.12/1.52  wr_realloc_freebytes: 0
% 8.12/1.52  ----------------------------------
%------------------------------------------------------------------------------