TSTP Solution File: SYO630-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n021.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 0.22s 0.56s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named clause_7_16)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',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_7_16]) ).

cnf('2',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'LE'(f(X),s(s(s(s(s('0')))))) ),
    inference(cnf_transformation,[],[clause_8_01]) ).

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

cnf('4',plain,
    iLEQ(X,g(X)),
    inference(cnf_transformation,[],[clause_4_19]) ).

cnf('5',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s(s('0'))))) ),
    inference(resolution,[],['3','4']) ).

cnf('6',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_26_17]) ).

cnf('7',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(Y))
    | 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(g(X),Y) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0')))) ),
    inference(resolution,[],['7','4']) ).

cnf('9',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_16_15]) ).

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

cnf('11',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(resolution,[],['10','4']) ).

cnf('12',plain,
    ( ~ 'LE'(f(X),s(s('0')))
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0'))
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_17_32]) ).

cnf('13',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(resolution,[],['13','4']) ).

cnf('15',plain,
    ( ~ 'LE'(f(X),s('0'))
    | 'E'('0',f(Y))
    | 'LE'(f(Y),'0')
    | ~ iLEQ(X,Y) ),
    inference(cnf_transformation,[],[clause_1_06]) ).

cnf('16',plain,
    ~ 'LE'(f(X0),'0'),
    inference(cnf_transformation,[],[clause_6_07]) ).

cnf('17',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['14','15','16']) ).

cnf('18',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(resolution,[],['17','4']) ).

cnf('19',plain,
    iLEQ(X,X),
    inference(cnf_transformation,[],[clause_20_08]) ).

cnf('20',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(X))
    | 'LE'(f(X),s(s(s(s('0'))))) ),
    inference(resolution,[],['3','19']) ).

cnf('21',plain,
    ( ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    inference(cnf_transformation,[],[clause_3_10]) ).

cnf('22',plain,
    ~ 'E'(f(X0),f(g(X0))),
    inference(cnf_transformation,[],[clause_24_31]) ).

cnf('23',plain,
    ( ~ 'E'(s(s(s(s(s('0'))))),f(g(X)))
    | ~ 'E'(s(s(s(s(s('0'))))),f(X)) ),
    inference(simplify,[],['21','22']) ).

cnf('24',plain,
    ( ~ 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s(s('0'))))) ),
    inference(resolution,[],['20','23']) ).

cnf('25',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(X)),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(resolution,[],['18','24']) ).

cnf('26',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s(s('0'))),f(Y))
    | 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(g(X),Y) ),
    inference(resolution,[],['25','6']) ).

cnf('27',plain,
    iLEQ(X0,g(X0)),
    inference(cnf_transformation,[],[clause_22_25]) ).

cnf('28',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0')))) ),
    inference(factorization,[then_simplify],['26','27']) ).

cnf('29',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['28','9']) ).

cnf('30',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(factorization,[then_simplify],['29','27']) ).

cnf('31',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['30','12']) ).

cnf('32',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(factorization,[then_simplify],['31','27']) ).

cnf('33',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['32','15','16']) ).

cnf('34',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(factorization,[then_simplify],['33','27']) ).

cnf('35',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s('0')))) ),
    inference(resolution,[],['7','19']) ).

cnf('36',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s('0')))) ),
    inference(resolution,[],['35','24']) ).

cnf('37',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s('0'))))
    | 'E'(s(s(s('0'))),f(Y))
    | 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(g(X),Y) ),
    inference(resolution,[],['36','6']) ).

cnf('38',plain,
    iLEQ(X0,X0),
    inference(cnf_transformation,[],[clause_20_08]) ).

cnf('39',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s('0')))) ),
    inference(factorization,[then_simplify],['37','38']) ).

cnf('40',plain,
    ( ~ 'E'(s(s(s(s('0')))),f(g(X0)))
    | ~ 'E'(s(s(s(s('0')))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    inference(cnf_transformation,[],[clause_12_30]) ).

cnf('41',plain,
    ( ~ 'E'(s(s(s(s('0')))),f(g(X)))
    | ~ 'E'(s(s(s(s('0')))),f(X)) ),
    inference(simplify,[],['40','22']) ).

cnf('42',plain,
    ( ~ 'E'(s(s(s(s('0')))),f(X))
    | 'E'(s(s(s('0'))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s('0')))) ),
    inference(resolution,[],['39','41']) ).

cnf('43',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0')))) ),
    inference(resolution,[],['34','42']) ).

cnf('44',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['43','9']) ).

cnf('45',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(factorization,[then_simplify],['44','27']) ).

cnf('46',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['45','12']) ).

cnf('47',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(factorization,[then_simplify],['46','27']) ).

cnf('48',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['47','15','16']) ).

cnf('49',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X)))) ),
    inference(factorization,[then_simplify],['48','27']) ).

cnf('50',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['10','19']) ).

cnf('51',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'LE'(f(g(X)),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['50','24']) ).

cnf('52',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0')))
    | 'E'(s(s(s('0'))),f(Y))
    | 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(g(X),Y) ),
    inference(resolution,[],['51','6']) ).

cnf('53',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(factorization,[then_simplify],['52','27']) ).

cnf('54',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0')))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['53','9']) ).

cnf('55',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(factorization,[then_simplify],['54','38']) ).

cnf('56',plain,
    ( 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0'))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['55','42']) ).

cnf('57',plain,
    ( 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0')))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['56','9']) ).

cnf('58',plain,
    ( 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(factorization,[then_simplify],['57','38']) ).

cnf('59',plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X0)))
    | ~ 'E'(s(s(s('0'))),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    inference(cnf_transformation,[],[clause_21_11]) ).

cnf('60',plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X)))
    | ~ 'E'(s(s(s('0'))),f(X)) ),
    inference(simplify,[],['59','22']) ).

cnf('61',plain,
    ( ~ 'E'(s(s(s('0'))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['58','60']) ).

cnf('62',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0'))) ),
    inference(resolution,[],['49','61']) ).

cnf('63',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['62','12']) ).

cnf('64',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s('0')),f(g(g(g(X))))) ),
    inference(factorization,[then_simplify],['63','27']) ).

cnf('65',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['64','15','16']) ).

cnf('66',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X))))) ),
    inference(factorization,[then_simplify],['65','27']) ).

cnf('67',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(resolution,[],['17','19']) ).

cnf('68',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(X)),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(resolution,[],['67','24']) ).

cnf('69',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X))))))
    | 'E'(s(s(s('0'))),f(Y))
    | 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(g(X),Y) ),
    inference(resolution,[],['68','6']) ).

cnf('70',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0'))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['69','27']) ).

cnf('71',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['70','9']) ).

cnf('72',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['71','27']) ).

cnf('73',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['72','12']) ).

cnf('74',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['73','27']) ).

cnf('75',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['74','15','16']) ).

cnf('76',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['75','38']) ).

cnf('77',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0'))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(resolution,[],['76','42']) ).

cnf('78',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['77','9']) ).

cnf('79',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['78','27']) ).

cnf('80',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['79','12']) ).

cnf('81',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['80','27']) ).

cnf('82',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['81','15','16']) ).

cnf('83',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['82','38']) ).

cnf('84',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(resolution,[],['83','61']) ).

cnf('85',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['84','12']) ).

cnf('86',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['85','27']) ).

cnf('87',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['86','15','16']) ).

cnf('88',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['87','38']) ).

cnf('89',plain,
    ( 'E'(s(s(s(s(s('0'))))),f(X))
    | 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(resolution,[],['13','19']) ).

cnf('90',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(X)),s(s(s(s('0')))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(resolution,[],['89','24']) ).

cnf('91',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | 'E'(s(s(s('0'))),f(Y))
    | 'LE'(f(Y),s(s(s('0'))))
    | ~ iLEQ(g(X),Y) ),
    inference(resolution,[],['90','6']) ).

cnf('92',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0'))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(factorization,[then_simplify],['91','27']) ).

cnf('93',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['92','9']) ).

cnf('94',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(factorization,[then_simplify],['93','27']) ).

cnf('95',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['94','12']) ).

cnf('96',plain,
    ( 'E'(s(s(s(s('0')))),f(g(X)))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(factorization,[then_simplify],['95','38']) ).

cnf('97',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s(s('0'))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(resolution,[],['96','42']) ).

cnf('98',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | 'E'(s(s('0')),f(Y))
    | 'LE'(f(Y),s(s('0')))
    | ~ iLEQ(g(g(X)),Y) ),
    inference(resolution,[],['97','9']) ).

cnf('99',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(factorization,[then_simplify],['98','27']) ).

cnf('100',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['99','12']) ).

cnf('101',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s(s('0'))),f(g(g(X))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(factorization,[then_simplify],['100','38']) ).

cnf('102',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(resolution,[],['101','61']) ).

cnf('103',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['102','12']) ).

cnf('104',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(factorization,[then_simplify],['103','38']) ).

cnf('105',plain,
    ( ~ 'E'(s(s('0')),f(g(X0)))
    | ~ 'E'(s(s('0')),f(X0))
    | 'E'(f(X0),f(g(X0))) ),
    inference(cnf_transformation,[],[clause_27_12]) ).

cnf('106',plain,
    ( ~ 'E'(s(s('0')),f(g(X)))
    | ~ 'E'(s(s('0')),f(X)) ),
    inference(simplify,[],['105','22']) ).

cnf('107',plain,
    ( 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | ~ 'E'(s(s('0')),f(g(g(X)))) ),
    inference(resolution,[],['104','106']) ).

cnf('108',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(resolution,[],['88','107']) ).

cnf('109',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['108','15','16']) ).

cnf('110',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['109','38']) ).

cnf('111',plain,
    ( ~ 'E'(s('0'),f(g(X0)))
    | 'E'(f(X0),f(g(X0)))
    | ~ 'E'(s('0'),f(X0)) ),
    inference(cnf_transformation,[],[clause_30_13]) ).

cnf('112',plain,
    ( ~ 'E'(s('0'),f(g(X)))
    | ~ 'E'(s('0'),f(X)) ),
    inference(simplify,[],['111','22']) ).

cnf('113',plain,
    ( 'E'('0',f(g(g(g(g(X))))))
    | ~ 'E'(s('0'),f(g(g(g(X))))) ),
    inference(resolution,[],['110','112']) ).

cnf('114',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s('0'),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | ~ 'E'(s(s(s('0'))),f(g(X))) ),
    inference(resolution,[],['101','60']) ).

cnf('115',plain,
    ( 'E'(s(s('0')),f(g(g(g(g(X))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['114','58']) ).

cnf('116',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | ~ 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['115','106']) ).

cnf('117',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['61','58']) ).

cnf('118',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0')))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['117','12']) ).

cnf('119',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['118','4']) ).

cnf('120',plain,
    ( 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0')))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['119','15','16']) ).

cnf('121',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['120','4']) ).

cnf('122',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0'))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['116','121']) ).

cnf('123',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0')))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['122','15','16']) ).

cnf('124',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(factorization,[then_simplify],['123','27']) ).

cnf('125',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['113','124']) ).

cnf('126',plain,
    ( 'E'(f(X0),f(g(X0)))
    | ~ 'E'('0',f(g(X0)))
    | ~ 'E'('0',f(X0)) ),
    inference(cnf_transformation,[],[clause_29_24]) ).

cnf('127',plain,
    ( ~ 'E'('0',f(g(X)))
    | ~ 'E'('0',f(X)) ),
    inference(simplify,[],['126','22']) ).

cnf('128',plain,
    ( ~ 'E'('0',f(g(g(g(g(X))))))
    | 'E'(s(s('0')),f(g(g(X))))
    | 'LE'(f(g(g(X))),s(s('0'))) ),
    inference(resolution,[],['125','127']) ).

cnf('129',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(resolution,[],['113','110']) ).

cnf('130',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'LE'(f(g(g(g(X)))),s(s('0')))
    | 'E'('0',f(g(g(g(g(X)))))) ),
    inference(resolution,[],['128','129']) ).

cnf('131',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'('0',f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(X))),Y)
    | 'E'(s('0'),f(Y))
    | 'LE'(f(Y),s('0')) ),
    inference(resolution,[],['130','12']) ).

cnf('132',plain,
    ( 'E'(s(s('0')),f(g(g(g(X3)))))
    | 'E'('0',f(g(g(g(g(X3))))))
    | 'E'(s('0'),f(g(g(g(X3)))))
    | 'LE'(f(g(g(g(X3)))),s('0')) ),
    inference(resolution,[],['131','19']) ).

cnf('133',plain,
    ( 'E'('0',f(g(g(g(g(X3))))))
    | ~ 'E'(s('0'),f(g(g(g(X3))))) ),
    inference(resolution,[],['110','112']) ).

cnf('134',plain,
    ( 'E'(s(s('0')),f(g(g(g(X)))))
    | 'E'('0',f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(X)))),s('0')) ),
    inference(simplify,[],['132','133']) ).

cnf('135',plain,
    ( 'E'('0',f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(X)))),s('0'))
    | ~ 'E'(s(s('0')),f(g(g(X)))) ),
    inference(resolution,[],['134','106']) ).

cnf('136',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | 'LE'(f(g(g(g(g(X))))),s('0')) ),
    inference(resolution,[],['66','135']) ).

cnf('137',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X))))))
    | ~ iLEQ(g(g(g(g(X)))),Y)
    | 'E'('0',f(Y)) ),
    inference(resolution,[then_simplify],['136','15','16']) ).

cnf('138',plain,
    ( 'E'('0',f(g(g(g(g(g(X)))))))
    | 'E'(s('0'),f(g(g(g(g(X)))))) ),
    inference(factorization,[then_simplify],['137','27']) ).

cnf('139',plain,
    'E'('0',f(g(g(g(g(g(X))))))),
    inference(resolution,[],['138','113']) ).

cnf('140',plain,
    ~ 'E'('0',f(g(g(g(g(X)))))),
    inference(resolution,[],['139','127']) ).

cnf('141',plain,
    $false,
    inference(resolution,[],['140','139']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.15  % Command  : gkc %s
% 0.19/0.37  % Computer : n021.cluster.edu
% 0.19/0.37  % Model    : x86_64 x86_64
% 0.19/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.37  % Memory   : 8042.1875MB
% 0.19/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.37  % CPULimit : 300
% 0.19/0.37  % WCLimit  : 300
% 0.19/0.37  % DateTime : Sat Aug 26 03:37:56 EDT 2023
% 0.19/0.37  % CPUTime  : 
% 0.19/0.42  
% 0.19/0.42  input clause set summed statistics:
% 0.19/0.42  ----------------------------------
% 0.19/0.42  in_clause_count:                    32
% 0.19/0.42  in_rule_clause_count:               26
% 0.19/0.42  in_fact_clause_count:                6
% 0.19/0.42  in_answer_clause_count:              0
% 0.19/0.42  in_ground_clause_count:              0
% 0.19/0.42  in_unit_clause_count:               20
% 0.19/0.42  in_horn_clause_count:               26
% 0.19/0.42  in_pos_clause_count:                13
% 0.19/0.42  in_neg_clause_count:                 8
% 0.19/0.42  in_poseq_clause_count:               0
% 0.19/0.42  in_negeq_clause_count:               0
% 0.19/0.42  in_unitposeq_clause_count:           0
% 0.19/0.42  in_chain_clause_count:               0
% 0.19/0.42  in_min_length:             1
% 0.19/0.42  in_max_length:             4
% 0.19/0.42  in_min_depth:              1
% 0.19/0.42  in_max_depth:              6
% 0.19/0.42  in_min_size:               3
% 0.19/0.42  in_max_size:              28
% 0.19/0.42  in_min_vars:               1
% 0.19/0.42  in_max_vars:               2
% 0.19/0.42  in_extaxiom_count:                 0
% 0.19/0.42  in_axiom_count:                   32
% 0.19/0.42  in_assumption_count:               0
% 0.19/0.42  in_goal_count:                     0
% 0.19/0.42  in_neg_goal_count:                 0
% 0.19/0.42  in_pos_goal_count:                 0
% 0.19/0.42  in_posunit_goal_count:             0
% 0.19/0.42  
% 0.19/0.42  auto guide:
% 0.19/0.42  -----------
% 0.19/0.42  {
% 0.19/0.42  "print":1,
% 0.19/0.42  "print_level": 15,
% 0.19/0.42  "max_size": 0,
% 0.19/0.42  "max_depth": 0,
% 0.19/0.42  "max_length": 0,
% 0.19/0.42  "max_dseconds": 0,
% 0.19/0.42  "equality":0,
% 0.19/0.42  "runs":[
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.42  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.42  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.42  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.42  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.42  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.42  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.42  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.42  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.42  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.42  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.42  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.42  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.19/0.42  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.42  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.42  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.42  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.42  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.42  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.42  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.42  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.42  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.42  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.19/0.42  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.42  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.42  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.42  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.42  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.42  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.19/0.42  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.42  
% 0.19/0.42  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.42  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.42  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.19/0.42  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.42  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.19/0.42  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.42  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.19/0.42  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.42  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.42  
% 0.19/0.42  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.42  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.42  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.42  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.42  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.19/0.42  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.19/0.42  
% 0.19/0.42  ]}
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  **** run 1 fork 0 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  **** run 2 fork 1 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  **** run 3 fork 2 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  **** run 4 fork 3 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  **** run 5 fork 4 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.19/0.42  
% 0.19/0.42  **** run 6 fork 5 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  **** run 7 fork 6 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.19/0.42  
% 0.19/0.42  **** run 8 fork 7 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.22/0.46  
% 0.22/0.46  fork 5: search finished without proof.
% 0.22/0.46  
% 0.22/0.46  fork 7: search finished without proof.
% 0.22/0.47  
% 0.22/0.47  fork 1: search finished without proof.
% 0.22/0.49  
% 0.22/0.49  **** run 14 fork 5 starts with strategy
% 0.22/0.49  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.49  
% 0.22/0.49  **** run 10 fork 1 starts with strategy
% 0.22/0.49  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.22/0.50  
% 0.22/0.50  **** run 16 fork 7 starts with strategy
% 0.22/0.50  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.22/0.52  
% 0.22/0.52  fork 5: search finished without proof.
% 0.22/0.53  
% 0.22/0.53  fork 0: search finished without proof.
% 0.22/0.54  
% 0.22/0.54  fork 2: search finished without proof.
% 0.22/0.54  
% 0.22/0.54  fork 4: search finished without proof.
% 0.22/0.55  
% 0.22/0.55  fork 6: search finished without proof.
% 0.22/0.55  
% 0.22/0.55  **** run 22 fork 5 starts with strategy
% 0.22/0.55  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.22/0.55  
% 0.22/0.55  fork 3: search finished without proof.
% 0.22/0.56  
% 0.22/0.56  **** run 9 fork 0 starts with strategy
% 0.22/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.56  
% 0.22/0.56  
% 0.22/0.56  result: proof found
% 0.22/0.56  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.56  by run 16 fork 7 strategy {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.22/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.22/0.56  
% 0.22/0.56  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 0.22/0.56  
% 0.22/0.56  run 16 fork 7 statistics:
% 0.22/0.56  ----------------------------------
% 0.22/0.56  this run seconds: 0.043850
% 0.22/0.56  total seconds: 0.135590
% 0.22/0.56  stat_given_used: 264
% 0.22/0.56  stat_given_used_at_endgame: 0
% 0.22/0.56  stat_given_candidates:   1379
% 0.22/0.56  stat_given_candidates_at_endgame: 0
% 0.22/0.56  stat_given_candidates_h: 0
% 0.22/0.56  stat_binres_derived_cl:   1393
% 0.22/0.56  stat_binres_derived_cl_h: 0
% 0.22/0.56  stat_factor_derived_cl: 46
% 0.22/0.56  stat_para_derived_cl: 0
% 0.22/0.56  stat_tautologies_discarded: 13
% 0.22/0.56  stat_forward_subsumed: 5
% 0.22/0.56  stat_derived_cut: 139
% 0.22/0.56  stat_derived_rewritten: 0
% 0.22/0.56  stat_weight_discarded_building: 0
% 0.22/0.56  stat_weight_discarded_cl: 0
% 0.22/0.56  stat_internlimit_discarded_cl: 0
% 0.22/0.56  stat_simplified:  70 simplified 0 derived 0 given
% 0.22/0.56  stat_kept_cl: 1420
% 0.22/0.56  stat_built_cl: 2018
% 0.22/0.56  stat_hyperres_partial_cl: 0
% 0.22/0.56  stat_made_rewriters: 0
% 0.22/0.56  stat_backward_subsumed: 0
% 0.22/0.56  stat_propagated_subsumed: 0
% 0.22/0.56  stat_clsubs_attempted:                     25122
% 0.22/0.56  stat_clsubs_fact_groundunit_found:             0
% 0.22/0.56  stat_clsubs_rule_groundunit_found:             0
% 0.22/0.56  stat_clsubs_top_meta_attempted:             133785
% 0.22/0.56  stat_clsubs_top_meta_failed:                108663
% 0.22/0.56  stat_clsubs_top_meta_nonpref_attempted:              133785
% 0.22/0.56  stat_clsubs_top_meta_nonpref_succeeded:               33107
% 0.22/0.56  stat_clsubs_top_meta_pref_attempted:                  33107
% 0.22/0.56  stat_clsubs_top_meta_pref1_succeeded:                 27776
% 0.22/0.56  stat_clsubs_top_meta_pref2_succeeded:                 27442
% 0.22/0.56  stat_clsubs_top_meta_pref3_succeeded:                 25122
% 0.22/0.56  stat_clsubs_top_meta_pref_succeeded:                  25122
% 0.22/0.56  stat_clsubs_meta_attempted:               130321
% 0.22/0.56  stat_clsubs_meta_failed:                   41164
% 0.22/0.56  stat_clsubs_predsymbs_attempted:               0
% 0.22/0.56  stat_clsubs_unit_attempted:                 1310
% 0.22/0.56  stat_clsubs_full_attempted:                23812
% 0.22/0.56  stat_forwardsubs_attempted:                 1425
% 0.22/0.56  stat_lit_hash_added:                     88
% 0.22/0.56  stat_lit_hash_computed:               30332
% 0.22/0.56  stat_lit_hash_match_found:               17
% 0.22/0.56  stat_lit_hash_match_miss:             45298
% 0.22/0.56  stat_lit_hash_cut_ok:                    70
% 0.22/0.56  stat_lit_strong_cut_ok:                  69
% 0.22/0.56  stat_lit_hash_subsume_ok:                 5
% 0.22/0.56  clqueue els 10000000 used 1
% 0.22/0.56  clactive els 10000000 used 265
% 0.22/0.56  clactivesubsume els 10000000 used 1513
% 0.22/0.56  queue_termbuf els 200000000 used 385574
% 0.22/0.56  hyper_termbuf els 100000000 used 1
% 0.22/0.56  active_termbuf els 100000000 used 52662
% 0.22/0.56  varstack els 5000 last used 1
% 0.22/0.56  given_termbuf els 10000000 last used 44
% 0.22/0.56  simplified_termbuf els 10000000 last used 1
% 0.22/0.56  derived_termbuf els 10000000 last used 3
% 0.22/0.56  wr_mallocs: 1674
% 0.22/0.56  wr_callocs: 21
% 0.22/0.56  wr_reallocs: 94
% 0.22/0.56  wr_frees: 2
% 0.22/0.56  wr_malloc_bytes: 4162646004
% 0.22/0.56  wr_calloc_bytes: 112065536
% 0.22/0.56  wr_realloc_bytes: 89752
% 0.22/0.56  wr_realloc_freebytes: 0
% 0.22/0.56  ----------------------------------
% 0.22/0.56  
% 0.22/0.56  **** run 11 fork 2 starts with strategy
% 0.22/0.56  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.22/0.56  
% 0.22/0.56  **** run 13 fork 4 starts with strategy
% 0.22/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
%------------------------------------------------------------------------------