TSTP Solution File: SYO631-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYO631-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n029.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 04:37:25 EDT 2023

% Result   : Unsatisfiable 0.20s 0.80s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause_37_27)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    iLEQ(X,X),
    inference(cnf_transformation,[],[clause_37_27]) ).

cnf('2',plain,
    ( ~ 'LE'(f(X),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(Y))
    | 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_8_03]) ).

cnf('3',plain,
    ( ~ 'LE'(f(X3),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(X3))
    | 'LE'(f(X3),s(s(s('0')))) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( ~ 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_51_50]) ).

cnf('5',plain,
    ( ~ 'LE'(f(X3),s(s(s('0'))))
    | 'E'(s(s('0')),f(X3))
    | 'LE'(f(X3),s(s('0'))) ),
    inference(resolution,[],['1','4']) ).

cnf('6',plain,
    ( ~ 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0'))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_23_21]) ).

cnf('7',plain,
    ( ~ 'LE'(f(X3),s(s('0')))
    | 'E'(s('0'),f(X3))
    | 'LE'(f(X3),s('0')) ),
    inference(resolution,[],['1','6']) ).

cnf('8',plain,
    ~ 'LE'(f(X),'0'),
    inference(cnf_transformation,[],[clause_38_52]) ).

cnf('9',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(Y))
    | 'LE'(f(Y),'0')
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_56_31]) ).

cnf('10',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['8','9']) ).

cnf('11',plain,
    ~ 'LE'(f(X0),'0'),
    inference(cnf_transformation,[],[clause_38_52]) ).

cnf('12',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(X)) ),
    inference(resolution,[then_simplify],['1','9','11']) ).

cnf('13',plain,
    ( 'E'(f(X),f(g(X)))
    | ~ 'E'('0',f(g(X)))
    | ~ 'E'('0',f(X)) ),
    inference(cnf_transformation,[],[clause_2_25]) ).

cnf('14',plain,
    ~ 'E'(f(X0),f(g(X0))),
    inference(cnf_transformation,[],[clause_14_28]) ).

cnf('15',plain,
    ( ~ 'E'('0',f(g(X)))
    | ~ 'LE'(f(X),s('0')) ),
    inference(resolution,[then_simplify],['12','13','14']) ).

cnf('16',plain,
    ( ~ 'LE'(f(X),s('0'))
    | ~ 'LE'(f(Y),s('0'))
    | ~ iLEQ(Y,g(X)) ),
    inference(resolution,[],['10','15']) ).

cnf('17',plain,
    iLEQ(X,g(X)),
    inference(cnf_transformation,[],[clause_22_56]) ).

cnf('18',plain,
    ~ 'LE'(f(X3),s('0')),
    inference(factorization,[then_simplify],['16','17']) ).

cnf('19',plain,
    ( ~ 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(X)) ),
    inference(simplify,[],['7','18']) ).

cnf('20',plain,
    ~ 'LE'(f(X),s('0')),
    inference(factorization,[then_simplify],['16','17']) ).

cnf('21',plain,
    ( ~ 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['20','6']) ).

cnf('22',plain,
    ~ 'E'(f(X),f(g(X))),
    inference(cnf_transformation,[],[clause_53_24]) ).

cnf('23',plain,
    ( ~ 'E'(s('0'),f(g(X)))
    | 'E'(f(X),f(g(X)))
    | ~ 'E'(s('0'),f(X)) ),
    inference(cnf_transformation,[],[clause_30_35]) ).

cnf('24',plain,
    ( ~ 'E'(s('0'),f(g(X)))
    | ~ 'E'(s('0'),f(X)) ),
    inference(resolution,[],['22','23']) ).

cnf('25',plain,
    ( ~ 'LE'(f(X),s(s('0')))
    | ~ 'E'(s('0'),f(Y))
    | ~ iLEQ(X,g(Y)) ),
    inference(resolution,[],['21','24']) ).

cnf('26',plain,
    ( ~ 'LE'(f(X),s(s('0')))
    | ~ 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(X,g(Y)) ),
    inference(resolution,[],['19','25']) ).

cnf('27',plain,
    ~ 'LE'(f(X3),s(s('0'))),
    inference(factorization,[then_simplify],['26','17']) ).

cnf('28',plain,
    ( ~ 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(X)) ),
    inference(simplify,[],['5','27']) ).

cnf('29',plain,
    ~ 'LE'(f(X),s(s('0'))),
    inference(factorization,[then_simplify],['26','17']) ).

cnf('30',plain,
    ( ~ 'LE'(f(X),s(s(s('0'))))
    | 'E'(s(s('0')),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['29','4']) ).

cnf('31',plain,
    ( ~ 'E'(s(s('0')),f(g(X)))
    | ~ 'E'(s(s('0')),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_20_22]) ).

cnf('32',plain,
    ( ~ 'E'(s(s('0')),f(g(X)))
    | ~ 'E'(s(s('0')),f(X)) ),
    inference(resolution,[],['22','31']) ).

cnf('33',plain,
    ( ~ 'LE'(f(X),s(s(s('0'))))
    | ~ 'E'(s(s('0')),f(Y))
    | ~ iLEQ(X,g(Y)) ),
    inference(resolution,[],['30','32']) ).

cnf('34',plain,
    ( ~ 'LE'(f(X),s(s(s('0'))))
    | ~ 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(X,g(Y)) ),
    inference(resolution,[],['28','33']) ).

cnf('35',plain,
    ~ 'LE'(f(X3),s(s(s('0')))),
    inference(factorization,[then_simplify],['34','17']) ).

cnf('36',plain,
    ( ~ 'LE'(f(X),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(X)) ),
    inference(simplify,[],['3','35']) ).

cnf('37',plain,
    ~ 'LE'(f(X),s(s(s('0')))),
    inference(factorization,[then_simplify],['34','17']) ).

cnf('38',plain,
    ( ~ 'LE'(f(X),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['37','2']) ).

cnf('39',plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X)))
    | ~ 'E'(s(s(s('0'))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_29_12]) ).

cnf('40',plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X)))
    | ~ 'E'(s(s(s('0'))),f(X)) ),
    inference(resolution,[],['22','39']) ).

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

cnf('42',plain,
    ( ~ 'LE'(f(X),s(s(s(s('0')))))
    | ~ 'LE'(f(Y),s(s(s(s('0')))))
    | ~ iLEQ(X,g(Y)) ),
    inference(resolution,[],['36','41']) ).

cnf('43',plain,
    ~ 'LE'(f(X),s(s(s(s('0'))))),
    inference(factorization,[then_simplify],['42','17']) ).

cnf('44',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s('0')))),f(Y))
    | 'LE'(f(Y),s(s(s(s('0')))))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_0_36]) ).

cnf('45',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s('0')))),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['43','44']) ).

cnf('46',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s('0')))),f(X))
    | 'LE'(f(X),s(s(s(s('0'))))) ),
    inference(resolution,[],['1','44']) ).

cnf('47',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s('0'))))))
    | 'E'(s(s(s(s('0')))),f(X)) ),
    inference(resolution,[],['43','46']) ).

cnf('48',plain,
    ( ~ 'E'(s(s(s(s('0')))),f(g(X)))
    | ~ 'E'(s(s(s(s('0')))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_55_48]) ).

cnf('49',plain,
    ( ~ 'E'(s(s(s(s('0')))),f(g(X)))
    | ~ 'E'(s(s(s(s('0')))),f(X)) ),
    inference(resolution,[],['22','48']) ).

cnf('50',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s('0'))))))
    | ~ 'E'(s(s(s(s('0')))),f(g(X))) ),
    inference(resolution,[],['47','49']) ).

cnf('51',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s('0'))))))
    | ~ 'LE'(f(Y),s(s(s(s(s('0'))))))
    | ~ iLEQ(Y,g(X)) ),
    inference(resolution,[],['45','50']) ).

cnf('52',plain,
    ~ 'LE'(f(X),s(s(s(s(s('0')))))),
    inference(factorization,[then_simplify],['51','17']) ).

cnf('53',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s('0'))))),f(Y))
    | 'LE'(f(Y),s(s(s(s(s('0'))))))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_5_11]) ).

cnf('54',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s('0'))))),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['52','53']) ).

cnf('55',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s('0'))))),f(X))
    | 'LE'(f(X),s(s(s(s(s('0')))))) ),
    inference(resolution,[],['1','53']) ).

cnf('56',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s('0')))))))
    | 'E'(s(s(s(s(s('0'))))),f(X)) ),
    inference(resolution,[],['52','55']) ).

cnf('57',plain,
    ( ~ 'E'(s(s(s(s(s('0'))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_40_23]) ).

cnf('58',plain,
    ( ~ 'E'(s(s(s(s(s('0'))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X)) ),
    inference(resolution,[],['22','57']) ).

cnf('59',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s('0')))))))
    | ~ 'E'(s(s(s(s(s('0'))))),f(g(X))) ),
    inference(resolution,[],['56','58']) ).

cnf('60',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s('0')))))))
    | ~ 'LE'(f(Y),s(s(s(s(s(s('0')))))))
    | ~ iLEQ(Y,g(X)) ),
    inference(resolution,[],['54','59']) ).

cnf('61',plain,
    ~ 'LE'(f(X),s(s(s(s(s(s('0'))))))),
    inference(factorization,[then_simplify],['60','17']) ).

cnf('62',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(Y))
    | 'LE'(f(Y),s(s(s(s(s(s('0')))))))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_54_45]) ).

cnf('63',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['61','62']) ).

cnf('64',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(X))
    | 'LE'(f(X),s(s(s(s(s(s('0'))))))) ),
    inference(resolution,[],['1','62']) ).

cnf('65',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s('0'))))))))
    | 'E'(s(s(s(s(s(s('0')))))),f(X)) ),
    inference(resolution,[],['61','64']) ).

cnf('66',plain,
    ( ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_11_16]) ).

cnf('67',plain,
    ( ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(X)) ),
    inference(resolution,[],['22','66']) ).

cnf('68',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s('0'))))))))
    | ~ 'E'(s(s(s(s(s(s('0')))))),f(g(X))) ),
    inference(resolution,[],['65','67']) ).

cnf('69',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s('0'))))))))
    | ~ 'LE'(f(Y),s(s(s(s(s(s(s('0'))))))))
    | ~ iLEQ(Y,g(X)) ),
    inference(resolution,[],['63','68']) ).

cnf('70',plain,
    ~ 'LE'(f(X),s(s(s(s(s(s(s('0')))))))),
    inference(factorization,[then_simplify],['69','17']) ).

cnf('71',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(Y))
    | 'LE'(f(Y),s(s(s(s(s(s(s('0'))))))))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_26_19]) ).

cnf('72',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['70','71']) ).

cnf('73',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X))
    | 'LE'(f(X),s(s(s(s(s(s(s('0')))))))) ),
    inference(resolution,[],['1','71']) ).

cnf('74',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s('0')))))))))
    | 'E'(s(s(s(s(s(s(s('0'))))))),f(X)) ),
    inference(resolution,[],['70','73']) ).

cnf('75',plain,
    ( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_44_07]) ).

cnf('76',plain,
    ( ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(X)) ),
    inference(resolution,[],['22','75']) ).

cnf('77',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s('0')))))))))
    | ~ 'E'(s(s(s(s(s(s(s('0'))))))),f(g(X))) ),
    inference(resolution,[],['74','76']) ).

cnf('78',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s('0')))))))))
    | ~ 'LE'(f(Y),s(s(s(s(s(s(s(s('0')))))))))
    | ~ iLEQ(Y,g(X)) ),
    inference(resolution,[],['72','77']) ).

cnf('79',plain,
    ~ 'LE'(f(X),s(s(s(s(s(s(s(s('0'))))))))),
    inference(factorization,[then_simplify],['78','17']) ).

cnf('80',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(Y))
    | 'LE'(f(Y),s(s(s(s(s(s(s(s('0')))))))))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_10_13]) ).

cnf('81',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[],['79','80']) ).

cnf('82',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X))
    | 'LE'(f(X),s(s(s(s(s(s(s(s('0'))))))))) ),
    inference(resolution,[],['1','80']) ).

cnf('83',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s('0'))))))))))
    | 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X)) ),
    inference(resolution,[],['79','82']) ).

cnf('84',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_31_54]) ).

cnf('85',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(X)) ),
    inference(resolution,[],['22','84']) ).

cnf('86',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ 'E'(s(s(s(s(s(s(s(s('0')))))))),f(g(X))) ),
    inference(resolution,[],['83','85']) ).

cnf('87',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ 'LE'(f(Y),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ iLEQ(Y,g(X)) ),
    inference(resolution,[],['81','86']) ).

cnf('88',plain,
    ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s('0')))))))))),
    inference(factorization,[then_simplify],['87','17']) ).

cnf('89',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(Y))
    | 'LE'(f(Y),s(s(s(s(s(s(s(s(s('0'))))))))))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_48_04]) ).

cnf('90',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X))
    | 'LE'(f(X),s(s(s(s(s(s(s(s(s('0')))))))))) ),
    inference(resolution,[],['1','89']) ).

cnf('91',plain,
    ( ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X)) ),
    inference(resolution,[],['88','90']) ).

cnf('92',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_27_01]) ).

cnf('93',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X)) ),
    inference(resolution,[],['22','92']) ).

cnf('94',plain,
    ( ~ 'LE'(f(g(X)),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X)) ),
    inference(resolution,[],['91','93']) ).

cnf('95',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X))
    | 'E'(f(X),f(g(X))) ),
    inference(cnf_transformation,[],[clause_42_32]) ).

cnf('96',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X)) ),
    inference(resolution,[],['22','95']) ).

cnf('97',plain,
    ( 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X))
    | 'LE'(f(X),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
    inference(cnf_transformation,[],[clause_49_39]) ).

cnf('98',plain,
    ( 'LE'(f(g(X)),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X)) ),
    inference(resolution,[],['96','97']) ).

cnf('99',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X)) ),
    inference(resolution,[],['94','98']) ).

cnf('100',plain,
    ( 'LE'(f(X),s(s(s(s(s(s(s(s(s(s('0')))))))))))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X)) ),
    inference(resolution,[],['99','97']) ).

cnf('101',plain,
    ~ 'LE'(f(X3),s(s(s(s(s(s(s(s(s('0')))))))))),
    inference(factorization,[then_simplify],['87','17']) ).

cnf('102',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X))
    | 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(Y))
    | ~ iLEQ(X,Y) ),
    inference(resolution,[then_simplify],['100','89','101']) ).

cnf('103',plain,
    ( ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X))
    | ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(Y))
    | ~ iLEQ(Y,g(X)) ),
    inference(resolution,[],['102','93']) ).

cnf('104',plain,
    ~ 'E'(s(s(s(s(s(s(s(s(s('0'))))))))),f(X)),
    inference(factorization,[then_simplify],['103','17']) ).

cnf('105',plain,
    ~ 'LE'(f(X),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
    inference(resolution,[],['104','91']) ).

cnf('106',plain,
    'E'(s(s(s(s(s(s(s(s(s(s('0')))))))))),f(X3)),
    inference(resolution,[],['105','97']) ).

cnf('107',plain,
    $false,
    inference(resolution,[then_simplify],['105','98','106']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO631-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.14  % Command  : gkc %s
% 0.14/0.35  % Computer : n029.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 06:01:25 EDT 2023
% 0.14/0.35  % 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:                    57
% 0.20/0.40  in_rule_clause_count:               46
% 0.20/0.40  in_fact_clause_count:               11
% 0.20/0.40  in_answer_clause_count:              0
% 0.20/0.40  in_ground_clause_count:              0
% 0.20/0.40  in_unit_clause_count:               35
% 0.20/0.40  in_horn_clause_count:               46
% 0.20/0.40  in_pos_clause_count:                23
% 0.20/0.40  in_neg_clause_count:                13
% 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:             4
% 0.20/0.40  in_min_depth:              1
% 0.20/0.40  in_max_depth:             11
% 0.20/0.40  in_min_size:               3
% 0.20/0.40  in_max_size:              43
% 0.20/0.40  in_min_vars:               1
% 0.20/0.40  in_max_vars:               2
% 0.20/0.40  in_extaxiom_count:                 0
% 0.20/0.40  in_axiom_count:                   57
% 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":["negative_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, "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":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "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", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":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, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.41  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.41  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.41  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.41  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.20/0.41  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.41  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.41  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.41  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.41  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.41  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.41  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.41  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.41  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.41  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.41  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.41  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.41  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.41  
% 0.20/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.20/0.41  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.41  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.41  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.41  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.20/0.41  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.41  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.41  
% 0.20/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.41  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.41  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.20/0.41  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.41  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.41  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.41  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.20/0.41  
% 0.20/0.41  ]}
% 0.20/0.41  
% 0.20/0.41  
% 0.20/0.41  **** run 1 fork 0 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 2 fork 1 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 3 fork 2 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 4 fork 3 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 5 fork 4 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.41  
% 0.20/0.41  **** run 6 fork 5 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 7 fork 6 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.45  
% 0.20/0.45  fork 1: search finished without proof.
% 0.20/0.45  
% 0.20/0.45  fork 7: search finished without proof.
% 0.20/0.45  
% 0.20/0.45  fork 5: search finished without proof.
% 0.20/0.47  
% 0.20/0.47  **** run 16 fork 7 starts with strategy
% 0.20/0.47  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.48  
% 0.20/0.48  **** run 10 fork 1 starts with strategy
% 0.20/0.48  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.49  
% 0.20/0.49  **** run 14 fork 5 starts with strategy
% 0.20/0.49  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.52  
% 0.20/0.52  fork 5: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  fork 0: search finished without proof.
% 0.20/0.52  
% 0.20/0.52  fork 2: search finished without proof.
% 0.20/0.53  
% 0.20/0.53  fork 4: search finished without proof.
% 0.20/0.53  
% 0.20/0.53  fork 6: search finished without proof.
% 0.20/0.53  
% 0.20/0.53  fork 3: search finished without proof.
% 0.20/0.54  
% 0.20/0.54  **** run 22 fork 5 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.54  
% 0.20/0.54  **** run 9 fork 0 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.54  
% 0.20/0.54  **** run 11 fork 2 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.55  
% 0.20/0.55  **** run 13 fork 4 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.55  
% 0.20/0.55  **** run 15 fork 6 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.56  
% 0.20/0.56  **** run 12 fork 3 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.57  
% 0.20/0.57  fork 4: search finished without proof.
% 0.20/0.58  
% 0.20/0.58  fork 7: search finished without proof.
% 0.20/0.58  
% 0.20/0.58  fork 3: search finished without proof.
% 0.20/0.59  
% 0.20/0.59  **** run 21 fork 4 starts with strategy
% 0.20/0.59  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.59  
% 0.20/0.59  **** run 24 fork 7 starts with strategy
% 0.20/0.59  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 0.20/0.60  
% 0.20/0.60  
% 0.20/0.60  fork 1: search terminated without proof.
% 0.20/0.60  
% 0.20/0.60  **** run 20 fork 3 starts with strategy
% 0.20/0.60  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.62  
% 0.20/0.62  **** run 18 fork 1 starts with strategy
% 0.20/0.62  {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 0.20/0.62  
% 0.20/0.62  fork 3: search finished without proof.
% 0.20/0.64  
% 0.20/0.64  **** run 28 fork 3 starts with strategy
% 0.20/0.64  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.20/0.64  
% 0.20/0.64  fork 0: search finished without proof.
% 0.20/0.66  
% 0.20/0.66  fork 2: search finished without proof.
% 0.20/0.66  
% 0.20/0.66  fork 5: search finished without proof.
% 0.20/0.66  
% 0.20/0.66  fork 3: search finished without proof.
% 0.20/0.66  
% 0.20/0.66  **** run 17 fork 0 starts with strategy
% 0.20/0.66  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.20/0.67  
% 0.20/0.67  fork 1: search finished without proof.
% 0.20/0.67  
% 0.20/0.67  
% 0.20/0.67  fork 6: search terminated without proof.
% 0.20/0.68  
% 0.20/0.68  **** run 19 fork 2 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.20/0.68  
% 0.20/0.68  **** run 30 fork 5 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.20/0.68  
% 0.20/0.68  **** run 36 fork 3 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.20/0.69  
% 0.20/0.69  **** run 23 fork 6 starts with strategy
% 0.20/0.69  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.20/0.70  
% 0.20/0.70  **** run 26 fork 1 starts with strategy
% 0.20/0.70  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.70  
% 0.20/0.70  fork 0: search finished without proof.
% 0.20/0.71  
% 0.20/0.71  fork 4: search finished without proof.
% 0.20/0.72  
% 0.20/0.72  fork 6: search finished without proof.
% 0.20/0.72  
% 0.20/0.72  **** run 25 fork 0 starts with strategy
% 0.20/0.72  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.20/0.73  
% 0.20/0.73  **** run 29 fork 4 starts with strategy
% 0.20/0.73  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  fork 7: search terminated without proof.
% 0.20/0.73  
% 0.20/0.73  fork 5: search finished without proof.
% 0.20/0.74  
% 0.20/0.74  **** run 31 fork 6 starts with strategy
% 0.20/0.74  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.20/0.75  
% 0.20/0.75  **** run 38 fork 5 starts with strategy
% 0.20/0.75  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 0.20/0.76  
% 0.20/0.76  **** run 32 fork 7 starts with strategy
% 0.20/0.76  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 0.20/0.78  
% 0.20/0.78  fork 7: search finished without proof.
% 0.20/0.80  
% 0.20/0.80  
% 0.20/0.80  result: proof found
% 0.20/0.80  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.80  by run 38 fork 5 strategy {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 0.20/0.80  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.80  
% 0.20/0.80  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.20/0.80  
% 0.20/0.80  run 38 fork 5 statistics:
% 0.20/0.80  ----------------------------------
% 0.20/0.80  this run seconds: 0.009642
% 0.20/0.80  total seconds: 0.355774
% 0.20/0.80  stat_given_used: 159
% 0.20/0.80  stat_given_used_at_endgame: 0
% 0.20/0.80  stat_given_candidates:   583
% 0.20/0.80  stat_given_candidates_at_endgame: 0
% 0.20/0.80  stat_given_candidates_h: 0
% 0.20/0.80  stat_binres_derived_cl:   695
% 0.20/0.80  stat_binres_derived_cl_h: 0
% 0.20/0.80  stat_factor_derived_cl: 18
% 0.20/0.80  stat_para_derived_cl: 0
% 0.20/0.80  stat_tautologies_discarded: 2
% 0.20/0.80  stat_forward_subsumed: 35
% 0.20/0.80  stat_derived_cut: 120
% 0.20/0.80  stat_derived_rewritten: 0
% 0.20/0.80  stat_weight_discarded_building: 0
% 0.20/0.80  stat_weight_discarded_cl: 0
% 0.20/0.80  stat_internlimit_discarded_cl: 0
% 0.20/0.80  stat_simplified:  9 simplified 0 derived 0 given
% 0.20/0.80  stat_kept_cl: 675
% 0.20/0.80  stat_built_cl: 1068
% 0.20/0.80  stat_hyperres_partial_cl: 0
% 0.20/0.80  stat_made_rewriters: 0
% 0.20/0.80  stat_backward_subsumed: 0
% 0.20/0.80  stat_propagated_subsumed: 0
% 0.20/0.80  stat_clsubs_attempted:                      3376
% 0.20/0.80  stat_clsubs_fact_groundunit_found:             0
% 0.20/0.80  stat_clsubs_rule_groundunit_found:             0
% 0.20/0.80  stat_clsubs_top_meta_attempted:              33607
% 0.20/0.80  stat_clsubs_top_meta_failed:                 30231
% 0.20/0.80  stat_clsubs_top_meta_nonpref_attempted:               33607
% 0.20/0.80  stat_clsubs_top_meta_nonpref_succeeded:               13064
% 0.20/0.80  stat_clsubs_top_meta_pref_attempted:                  13064
% 0.20/0.80  stat_clsubs_top_meta_pref1_succeeded:                  6401
% 0.20/0.80  stat_clsubs_top_meta_pref2_succeeded:                  4132
% 0.20/0.80  stat_clsubs_top_meta_pref3_succeeded:                  3376
% 0.20/0.80  stat_clsubs_top_meta_pref_succeeded:                   3376
% 0.20/0.80  stat_clsubs_meta_attempted:                 7547
% 0.20/0.80  stat_clsubs_meta_failed:                    2220
% 0.20/0.80  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.80  stat_clsubs_unit_attempted:                 1416
% 0.20/0.80  stat_clsubs_full_attempted:                 1960
% 0.20/0.80  stat_forwardsubs_attempted:                  711
% 0.20/0.80  stat_lit_hash_added:                    474
% 0.20/0.80  stat_lit_hash_computed:                6346
% 0.20/0.80  stat_lit_hash_match_found:              272
% 0.20/0.80  stat_lit_hash_match_miss:              7894
% 0.20/0.80  stat_lit_hash_cut_ok:                    13
% 0.20/0.80  stat_lit_strong_cut_ok:                 107
% 0.20/0.80  stat_lit_hash_subsume_ok:                35
% 0.20/0.80  clqueue els 10000000 used 1
% 0.20/0.80  clactive els 10000000 used 193
% 0.20/0.80  clactivesubsume els 10000000 used 1021
% 0.20/0.80  queue_termbuf els 200000000 used 96417
% 0.20/0.80  hyper_termbuf els 100000000 used 1
% 0.20/0.80  active_termbuf els 100000000 used 17515
% 0.20/0.80  varstack els 5000 last used 1
% 0.20/0.80  given_termbuf els 10000000 last used 1
% 0.20/0.80  simplified_termbuf els 10000000 last used 1
% 0.20/0.80  derived_termbuf els 10000000 last used 88
% 0.20/0.80  wr_mallocs: 1552
% 0.20/0.80  wr_callocs: 21
% 0.20/0.80  wr_reallocs: 151
% 0.20/0.80  wr_frees: 2
% 0.20/0.80  wr_malloc_bytes: 4162637156
% 0.20/0.80  wr_calloc_bytes: 112065536
% 0.20/0.80  wr_realloc_bytes: 55496
% 0.20/0.80  wr_realloc_freebytes: 0
% 0.20/0.80  ----------------------------------
% 0.20/0.80  
% 0.20/0.80  fork 3: search finished without proof.
%------------------------------------------------------------------------------