TSTP Solution File: LCL124-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL124-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n014.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 : Thu Aug 31 07:37:22 EDT 2023

% Result   : Unsatisfiable 29.01s 4.18s
% Output   : CNFRefutation 29.01s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_lg_5)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)))),
    inference(cnf_transformation,[],[prove_lg_5]) ).

cnf('2',plain,
    ( ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    inference(cnf_transformation,[],[condensed_detachment]) ).

cnf('3',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['1','2']) ).

cnf('4',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['3','2']) ).

cnf('5',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['4','2']) ).

cnf('6',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['5','2']) ).

cnf('7',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['6','2']) ).

cnf('8',plain,
    is_a_theorem(equivalent(X,equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Y,U),equivalent(Z,U)))))),
    inference(cnf_transformation,[],[lg_2]) ).

cnf('9',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)))))
    | ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['7','8']) ).

cnf('10',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)))))
    | ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['9']) ).

cnf('11',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))))
    | ~ is_a_theorem(equivalent(Y,Z))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['10','2']) ).

cnf('12',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)))))))
    | ~ is_a_theorem(equivalent(Z,U))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['11','2']) ).

cnf('13',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))))))))
    | ~ is_a_theorem(equivalent(U,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['12','2']) ).

cnf('14',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))),Y))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['13','8']) ).

cnf('15',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))),Y))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['14']) ).

cnf('16',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))),Z)))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['15','2']) ).

cnf('17',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f))),U))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['16','2']) ).

cnf('18',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)),Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['17','8']) ).

cnf('19',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)),Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))) ),
    inference(factorization,[],['18']) ).

cnf('20',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(b,equivalent(f,e)),f)),Z))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['19','2']) ).

cnf('21',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,equivalent(f,c)),Y),equivalent(equivalent(equivalent(b,equivalent(f,e)),f),Y))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))) ),
    inference(resolution,[],['20','8']) ).

cnf('22',plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),X),equivalent(f,X))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))),
    inference(resolution,[],['21','8']) ).

cnf('23',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),Y),equivalent(f,Y))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['22','2']) ).

cnf('24',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),Z),equivalent(f,Z))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['23','2']) ).

cnf('25',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),U),equivalent(f,U))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['24','2']) ).

cnf('26',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),V),equivalent(f,V))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['25','2']) ).

cnf('27',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),Y),equivalent(f,Y)))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['26','8']) ).

cnf('28',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),Y),equivalent(f,Y)))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))) ),
    inference(factorization,[],['27']) ).

cnf('29',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),Z),equivalent(f,Z))))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['28','2']) ).

cnf('30',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,equivalent(f,c)),equivalent(equivalent(equivalent(b,equivalent(f,e)),U),equivalent(f,U)))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['29','2']) ).

cnf('31',plain,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))),
    inference(resolution,[then_simplify],['30','8','8']) ).

cnf('32',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['31','2']) ).

cnf('33',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['32','2']) ).

cnf('34',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['33','2']) ).

cnf('35',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['34','2']) ).

cnf('36',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['35','2']) ).

cnf('37',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['36','8']) ).

cnf('38',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(X,Y))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['37']) ).

cnf('39',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(equivalent(Y,Z))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['38','2']) ).

cnf('40',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(equivalent(Z,U))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['39','2']) ).

cnf('41',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))))
    | ~ is_a_theorem(equivalent(U,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['40','2']) ).

cnf('42',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))),Y))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['41','8']) ).

cnf('43',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))),Y))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['42']) ).

cnf('44',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))),Z)))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['43','2']) ).

cnf('45',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))),U))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['44','2']) ).

cnf('46',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['45','8']) ).

cnf('47',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))) ),
    inference(factorization,[],['46']) ).

cnf('48',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Z))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['47','2']) ).

cnf('49',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))) ),
    inference(resolution,[],['48','8']) ).

cnf('50',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,Z),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Z)))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['49','2']) ).

cnf('51',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,U),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),U))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['50','2']) ).

cnf('52',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(a,V),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),V)))))))
    | ~ is_a_theorem(equivalent(U,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['51','2']) ).

cnf('53',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(a,W),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),W))))))))
    | ~ is_a_theorem(equivalent(V,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['52','2']) ).

cnf('54',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['53','8']) ).

cnf('55',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(equivalent(X,Z)) ),
    inference(factorization,[],['54']) ).

cnf('56',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,Z),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Z)))))
    | ~ is_a_theorem(equivalent(U,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(equivalent(Y,U))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['55','2']) ).

cnf('57',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,U),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),U))))))
    | ~ is_a_theorem(equivalent(V,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(equivalent(Z,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['56','2']) ).

cnf('58',plain,
    ( ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),X))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['57','8']) ).

cnf('59',plain,
    ( ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),X))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))) ),
    inference(factorization,[],['58']) ).

cnf('60',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Y)))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['59','2']) ).

cnf('61',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Z))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['60','2']) ).

cnf('62',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,X),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),X)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['61','8']) ).

cnf('63',plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,X),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),X)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))),
    inference(factorization,[],['62']) ).

cnf('64',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['63','2']) ).

cnf('65',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,Z),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Z)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['64','2']) ).

cnf('66',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(a,U),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),U)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['65','2']) ).

cnf('67',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(a,V),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),V)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['66','2']) ).

cnf('68',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(equivalent(a,W),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),W)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['67','2']) ).

cnf('69',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['68','8']) ).

cnf('70',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['69']) ).

cnf('71',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,Z),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Z)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))))
    | ~ is_a_theorem(equivalent(Y,U))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['70','2']) ).

cnf('72',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(a,U),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),U)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)))))))
    | ~ is_a_theorem(equivalent(Z,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['71','2']) ).

cnf('73',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(a,V),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),V)),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))))))))
    | ~ is_a_theorem(equivalent(U,W))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(W) ),
    inference(resolution,[],['72','2']) ).

cnf('74',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y))))
    | ~ is_a_theorem(equivalent(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),Z))
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['73','8']) ).

cnf('75',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,Y),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Y))))
    | ~ is_a_theorem(equivalent(equivalent(X,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),Z))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['74']) ).

cnf('76',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,Z),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),Z)))))
    | ~ is_a_theorem(equivalent(equivalent(Y,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),U))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['75','2']) ).

cnf('77',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,U),equivalent(equivalent(b,equivalent(c,equivalent(e,f))),U))))))
    | ~ is_a_theorem(equivalent(equivalent(Z,equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['76','2']) ).

cnf('78',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),X))
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['77','8']) ).

cnf('79',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),X))
    | ~ is_a_theorem(X) ),
    inference(factorization,[],['78']) ).

cnf('80',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),Y)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['79','2']) ).

cnf('81',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c))),Z))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['80','2']) ).

cnf('82',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),X),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),X)))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['81','8']) ).

cnf('83',plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),X),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),X))),
    inference(factorization,[],['82']) ).

cnf('84',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Y),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),Y))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['83','2']) ).

cnf('85',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Z),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),Z)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['84','2']) ).

cnf('86',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),U),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),U))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['85','2']) ).

cnf('87',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),V),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),V)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['86','2']) ).

cnf('88',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),W),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),W))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['87','2']) ).

cnf('89',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Y),equivalent(equivalent(a,equivalent(equivalent(b,equivalent(f,e)),c)),Y))))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['88','8']) ).

cnf('90',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,X),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),X))),Y))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['89','8']) ).

cnf('91',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,X),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),X))),Y))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['90']) ).

cnf('92',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,Y),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Y))),Z)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['91','2']) ).

cnf('93',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,Z),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Z))),U))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['92','2']) ).

cnf('94',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),X),equivalent(equivalent(equivalent(a,Y),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Y)),X)))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['93','8']) ).

cnf('95',plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),X),equivalent(equivalent(equivalent(a,Y),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Y)),X))),
    inference(factorization,[],['94']) ).

cnf('96',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Y),equivalent(equivalent(equivalent(a,Z),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Z)),Y))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['95','2']) ).

cnf('97',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Z),equivalent(equivalent(equivalent(a,U),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),U)),Z)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['96','2']) ).

cnf('98',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),U),equivalent(equivalent(equivalent(a,V),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),V)),U))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['97','2']) ).

cnf('99',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),V),equivalent(equivalent(equivalent(a,W),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),W)),V)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['98','2']) ).

cnf('100',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,Y),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Y)),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Z)))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['99','8']) ).

cnf('101',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,Y),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Y)),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),Z))) ),
    inference(factorization,[],['100']) ).

cnf('102',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,Z),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Z)),U))))
    | ~ is_a_theorem(equivalent(Y,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),U)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['101','2']) ).

cnf('103',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(a,U),equivalent(equivalent(equivalent(b,equivalent(f,e)),c),U)),V)))))
    | ~ is_a_theorem(equivalent(Z,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),V)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['102','2']) ).

cnf('104',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(a,X),Y),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(Y,equivalent(equivalent(equivalent(b,equivalent(f,e)),c),X)))))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['103','8']) ).

cnf('105',plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,X),Y),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(Y,equivalent(equivalent(equivalent(b,equivalent(f,e)),c),X))))),
    inference(factorization,[],['104']) ).

cnf('106',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(a,Y),Z),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(Z,equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Y))))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['105','2']) ).

cnf('107',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(a,Z),U),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(U,equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Z)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['106','2']) ).

cnf('108',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(a,U),V),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(V,equivalent(equivalent(equivalent(b,equivalent(f,e)),c),U))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['107','2']) ).

cnf('109',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(a,V),W),equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(W,equivalent(equivalent(equivalent(b,equivalent(f,e)),c),V)))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['108','2']) ).

cnf('110',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(Y,equivalent(equivalent(equivalent(b,equivalent(f,e)),c),Z)))))
    | ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,Z),Y)))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['109','8']) ).

cnf('111',plain,
    ( ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(X,c)),equivalent(equivalent(b,equivalent(f,e)),X))))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['110','8']) ).

cnf('112',plain,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(X,c)),equivalent(equivalent(b,equivalent(f,e)),X)))),
    inference(factorization,[],['111']) ).

cnf('113',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(Y,c)),equivalent(equivalent(b,equivalent(f,e)),Y)))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['112','2']) ).

cnf('114',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(Z,c)),equivalent(equivalent(b,equivalent(f,e)),Z))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['113','2']) ).

cnf('115',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(U,c)),equivalent(equivalent(b,equivalent(f,e)),U)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['114','2']) ).

cnf('116',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))),equivalent(equivalent(a,equivalent(V,c)),equivalent(equivalent(b,equivalent(f,e)),V))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['115','2']) ).

cnf('117',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(Y,c)),equivalent(equivalent(b,equivalent(f,e)),Y))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['116','8']) ).

cnf('118',plain,
    ( ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(equivalent(b,X),equivalent(equivalent(f,e),X)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['117','8']) ).

cnf('119',plain,
    ~ is_a_theorem(equivalent(equivalent(a,equivalent(equivalent(equivalent(b,X),equivalent(equivalent(f,e),X)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))),
    inference(factorization,[],['118']) ).

cnf('120',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(a,equivalent(equivalent(equivalent(b,Y),equivalent(equivalent(f,e),Y)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['119','2']) ).

cnf('121',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(a,equivalent(equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['120','2']) ).

cnf('122',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(a,equivalent(equivalent(equivalent(b,U),equivalent(equivalent(f,e),U)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['121','2']) ).

cnf('123',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(a,equivalent(equivalent(equivalent(b,V),equivalent(equivalent(f,e),V)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['122','2']) ).

cnf('124',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(equivalent(b,Y),equivalent(equivalent(f,e),Y)),c))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['123','8']) ).

cnf('125',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(equivalent(equivalent(b,Y),equivalent(equivalent(f,e),Y)),c))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))) ),
    inference(factorization,[],['124']) ).

cnf('126',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(a,equivalent(equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z)),c)))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['125','2']) ).

cnf('127',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(a,equivalent(equivalent(equivalent(b,U),equivalent(equivalent(f,e),U)),c))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['126','2']) ).

cnf('128',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(a,equivalent(equivalent(equivalent(b,V),equivalent(equivalent(f,e),V)),c)))))))
    | ~ is_a_theorem(equivalent(U,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['127','2']) ).

cnf('129',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(b,Y),equivalent(equivalent(f,e),Y)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['128','8']) ).

cnf('130',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(b,Y),equivalent(equivalent(f,e),Y)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['129']) ).

cnf('131',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['130','2']) ).

cnf('132',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(equivalent(equivalent(b,U),equivalent(equivalent(f,e),U)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['131','2']) ).

cnf('133',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,equivalent(equivalent(equivalent(b,V),equivalent(equivalent(f,e),V)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['132','2']) ).

cnf('134',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,equivalent(equivalent(equivalent(b,W),equivalent(equivalent(f,e),W)),c)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['133','2']) ).

cnf('135',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z)),c))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['134','8']) ).

cnf('136',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z)),c))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(Y,a)) ),
    inference(factorization,[],['135']) ).

cnf('137',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(b,U),equivalent(equivalent(f,e),U)),c)))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['136','2']) ).

cnf('138',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(b,V),equivalent(equivalent(f,e),V)),c))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['137','2']) ).

cnf('139',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(b,Y),equivalent(equivalent(f,e),Y))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['138','8']) ).

cnf('140',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(b,Y),equivalent(equivalent(f,e),Y))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a)) ),
    inference(factorization,[],['139']) ).

cnf('141',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['140','2']) ).

cnf('142',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(equivalent(b,U),equivalent(equivalent(f,e),U))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['141','2']) ).

cnf('143',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,equivalent(equivalent(b,V),equivalent(equivalent(f,e),V))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['142','2']) ).

cnf('144',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,equivalent(equivalent(b,W),equivalent(equivalent(f,e),W))),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['143','2']) ).

cnf('145',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z)))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['144','8']) ).

cnf('146',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(b,Z),equivalent(equivalent(f,e),Z)))))
    | ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a)) ),
    inference(factorization,[],['145']) ).

cnf('147',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(b,U),equivalent(equivalent(f,e),U))))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['146','2']) ).

cnf('148',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(b,V),equivalent(equivalent(f,e),V)))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['147','2']) ).

cnf('149',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(b,Y)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(f,e),Y)),c),a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['148','8']) ).

cnf('150',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(b,Y)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(f,e),Y)),c),a)) ),
    inference(factorization,[],['149']) ).

cnf('151',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(b,Z)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(Y,equivalent(equivalent(f,e),Z)),c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['150','2']) ).

cnf('152',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(b,U)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(Z,equivalent(equivalent(f,e),U)),c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['151','2']) ).

cnf('153',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,equivalent(b,V)),equivalent(a,equivalent(b,equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(U,equivalent(equivalent(f,e),V)),c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['152','2']) ).

cnf('154',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c),a))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['153','8']) ).

cnf('155',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c),a))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['154']) ).

cnf('156',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c),a)))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['155','2']) ).

cnf('157',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c),a))))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['156','2']) ).

cnf('158',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c),a)))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['157','2']) ).

cnf('159',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c),a))))))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['158','2']) ).

cnf('160',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c)))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['159','8']) ).

cnf('161',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c)))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['160']) ).

cnf('162',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c))))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['161','2']) ).

cnf('163',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c)))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['162','2']) ).

cnf('164',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))),c))))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['163','2']) ).

cnf('165',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['164','8']) ).

cnf('166',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(equivalent(Y,a)) ),
    inference(factorization,[],['165']) ).

cnf('167',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['166','2']) ).

cnf('168',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['167','2']) ).

cnf('169',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))))))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['168','2']) ).

cnf('170',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(W,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f))))))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(equivalent(W,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['169','2']) ).

cnf('171',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['170','8']) ).

cnf('172',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(equivalent(X,Z)) ),
    inference(factorization,[],['171']) ).

cnf('173',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(Y,U))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['172','2']) ).

cnf('174',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(f,e),equivalent(c,equivalent(e,f))))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(equivalent(Z,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['173','2']) ).

cnf('175',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(c,equivalent(e,f))),a))
    | ~ is_a_theorem(equivalent(equivalent(X,equivalent(f,e)),Y))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['174','8']) ).

cnf('176',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(c,equivalent(e,f))),a))
    | ~ is_a_theorem(equivalent(equivalent(X,equivalent(f,e)),Y))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a)) ),
    inference(factorization,[],['175']) ).

cnf('177',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(c,equivalent(e,f))),a)))
    | ~ is_a_theorem(equivalent(equivalent(Y,equivalent(f,e)),Z))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['176','2']) ).

cnf('178',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(c,equivalent(e,f))),a))))
    | ~ is_a_theorem(equivalent(equivalent(Z,equivalent(f,e)),U))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['177','2']) ).

cnf('179',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,equivalent(c,equivalent(e,f))),a)))))
    | ~ is_a_theorem(equivalent(equivalent(U,equivalent(f,e)),V))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['178','2']) ).

cnf('180',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,equivalent(c,equivalent(e,f))),a))))))
    | ~ is_a_theorem(equivalent(equivalent(V,equivalent(f,e)),W))
    | ~ is_a_theorem(equivalent(equivalent(W,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['179','2']) ).

cnf('181',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(c,equivalent(e,f)))))
    | ~ is_a_theorem(equivalent(equivalent(Y,equivalent(f,e)),Z))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['180','8']) ).

cnf('182',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(c,equivalent(e,f)))))
    | ~ is_a_theorem(equivalent(equivalent(Y,equivalent(f,e)),Z))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['181']) ).

cnf('183',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(c,equivalent(e,f))))))
    | ~ is_a_theorem(equivalent(equivalent(Z,equivalent(f,e)),U))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['182','2']) ).

cnf('184',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(c,equivalent(e,f)))))))
    | ~ is_a_theorem(equivalent(equivalent(U,equivalent(f,e)),V))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['183','2']) ).

cnf('185',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(e,f)),equivalent(f,e)),Y))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['184','8']) ).

cnf('186',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(e,f)),equivalent(f,e)),Y))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a)) ),
    inference(factorization,[],['185']) ).

cnf('187',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(e,f)),equivalent(f,e)),Z)))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['186','2']) ).

cnf('188',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,equivalent(e,f)),equivalent(f,e)),U))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['187','2']) ).

cnf('189',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,equivalent(e,f)),Y),equivalent(equivalent(f,e),Y)),c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['188','8']) ).

cnf('190',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,equivalent(e,f)),Y),equivalent(equivalent(f,e),Y)),c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a)) ),
    inference(factorization,[],['189']) ).

cnf('191',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(equivalent(Y,equivalent(e,f)),Z),equivalent(equivalent(f,e),Z)),c),a)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['190','2']) ).

cnf('192',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(equivalent(equivalent(Z,equivalent(e,f)),U),equivalent(equivalent(f,e),U)),c),a))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['191','2']) ).

cnf('193',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(equivalent(equivalent(U,equivalent(e,f)),V),equivalent(equivalent(f,e),V)),c),a)))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['192','2']) ).

cnf('194',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(equivalent(equivalent(V,equivalent(e,f)),W),equivalent(equivalent(f,e),W)),c),a))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['193','2']) ).

cnf('195',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,equivalent(e,f)),Z),equivalent(equivalent(f,e),Z)),c)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['194','8']) ).

cnf('196',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,equivalent(e,f)),Z),equivalent(equivalent(f,e),Z)),c)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['195']) ).

cnf('197',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(equivalent(Z,equivalent(e,f)),U),equivalent(equivalent(f,e),U)),c))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['196','2']) ).

cnf('198',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(equivalent(U,equivalent(e,f)),V),equivalent(equivalent(f,e),V)),c)))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['197','2']) ).

cnf('199',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(equivalent(V,equivalent(e,f)),W),equivalent(equivalent(f,e),W)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['198','2']) ).

cnf('200',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(e,f)),Z),equivalent(equivalent(f,e),Z))))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['199','8']) ).

cnf('201',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(e,f)),equivalent(equivalent(f,Y),equivalent(e,Y))),c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['200','8']) ).

cnf('202',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(e,f)),equivalent(equivalent(f,Y),equivalent(e,Y))),c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a)) ),
    inference(factorization,[],['201']) ).

cnf('203',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,equivalent(e,f)),equivalent(equivalent(f,Z),equivalent(e,Z))),c),a)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['202','2']) ).

cnf('204',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(equivalent(Z,equivalent(e,f)),equivalent(equivalent(f,U),equivalent(e,U))),c),a))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['203','2']) ).

cnf('205',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(equivalent(U,equivalent(e,f)),equivalent(equivalent(f,V),equivalent(e,V))),c),a)))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['204','2']) ).

cnf('206',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(equivalent(V,equivalent(e,f)),equivalent(equivalent(f,W),equivalent(e,W))),c),a))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['205','2']) ).

cnf('207',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(e,f)),equivalent(equivalent(f,Z),equivalent(e,Z))),c)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['206','8']) ).

cnf('208',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(e,f)),equivalent(equivalent(f,Z),equivalent(e,Z))),c)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['207']) ).

cnf('209',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,equivalent(e,f)),equivalent(equivalent(f,U),equivalent(e,U))),c))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['208','2']) ).

cnf('210',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,equivalent(e,f)),equivalent(equivalent(f,V),equivalent(e,V))),c)))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['209','2']) ).

cnf('211',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,equivalent(e,f)),equivalent(equivalent(f,W),equivalent(e,W))),c))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['210','2']) ).

cnf('212',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(e,f)),equivalent(equivalent(f,Z),equivalent(e,Z)))))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['211','8']) ).

cnf('213',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(e,f)),equivalent(equivalent(f,Z),equivalent(e,Z)))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a)) ),
    inference(factorization,[],['212']) ).

cnf('214',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(e,f)),equivalent(equivalent(f,U),equivalent(e,U))))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['213','2']) ).

cnf('215',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,equivalent(e,f)),equivalent(equivalent(f,V),equivalent(e,V)))))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['214','2']) ).

cnf('216',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(f,f)),c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['215','8']) ).

cnf('217',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(f,f)),c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a)) ),
    inference(factorization,[],['216']) ).

cnf('218',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(f,f)),c),a)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['217','2']) ).

cnf('219',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,equivalent(f,f)),c),a))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['218','2']) ).

cnf('220',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,equivalent(f,f)),c),a)))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['219','2']) ).

cnf('221',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,equivalent(f,f)),c),a))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['220','2']) ).

cnf('222',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(f,f)),c)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['221','8']) ).

cnf('223',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(f,f)),c)))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['222']) ).

cnf('224',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(f,f)),c))))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['223','2']) ).

cnf('225',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,equivalent(f,f)),c)))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['224','2']) ).

cnf('226',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,equivalent(f,f)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(V,c),a))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['225','2']) ).

cnf('227',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(f,f))))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['226','8']) ).

cnf('228',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(f,f))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a)) ),
    inference(factorization,[],['227']) ).

cnf('229',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(f,f)))))
    | ~ is_a_theorem(equivalent(equivalent(Y,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['228','2']) ).

cnf('230',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(f,f))))))
    | ~ is_a_theorem(equivalent(equivalent(U,c),a))
    | ~ is_a_theorem(equivalent(equivalent(Z,c),a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['229','2']) ).

cnf('231',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,f),c),a))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['230','8']) ).

cnf('232',plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(X,f),c),a)),
    inference(factorization,[],['231']) ).

cnf('233',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,f),c),a)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['232','2']) ).

cnf('234',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,f),c),a))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['233','2']) ).

cnf('235',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,f),c),a)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['234','2']) ).

cnf('236',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,f),c),a))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['235','2']) ).

cnf('237',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(equivalent(W,f),c),a)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['236','2']) ).

cnf('238',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(W,equivalent(equivalent(equivalent(X2006,f),c),a))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(W)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['237','2']) ).

cnf('239',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,f),c),a))))
    | ~ is_a_theorem(equivalent(X,U))
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['238','8']) ).

cnf('240',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,f),c),a))))
    | ~ is_a_theorem(equivalent(X,U))
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(U) ),
    inference(factorization,[],['239']) ).

cnf('241',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,f),c),a)))))
    | ~ is_a_theorem(equivalent(Y,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['240','2']) ).

cnf('242',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,f),c),a))))))
    | ~ is_a_theorem(equivalent(Z,W))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(W) ),
    inference(resolution,[],['241','2']) ).

cnf('243',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,f),c)),Z))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['242','8']) ).

cnf('244',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,f),c)),Z))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['243']) ).

cnf('245',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,equivalent(equivalent(Z,f),c)),U)))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['244','2']) ).

cnf('246',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,equivalent(equivalent(U,f),c)),V))))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['245','2']) ).

cnf('247',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,f),c),Y)))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['246','8']) ).

cnf('248',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,f),c),Y)))
    | ~ is_a_theorem(equivalent(X,a)) ),
    inference(factorization,[],['247']) ).

cnf('249',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(equivalent(U,f),c),Z))))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['248','2']) ).

cnf('250',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),equivalent(equivalent(equivalent(V,f),c),U)))))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['249','2']) ).

cnf('251',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,f),c),V))))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['250','2']) ).

cnf('252',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,W),equivalent(equivalent(equivalent(X2006,f),c),W)))))))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['251','2']) ).

cnf('253',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,f),c),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(U,Z)))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['252','8']) ).

cnf('254',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,f),c),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(U,Z)))
    | ~ is_a_theorem(equivalent(U,a)) ),
    inference(factorization,[],['253']) ).

cnf('255',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,f),c),U))))
    | ~ is_a_theorem(equivalent(Y,equivalent(V,U)))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['254','2']) ).

cnf('256',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,f),c),V)))))
    | ~ is_a_theorem(equivalent(Z,equivalent(W,V)))
    | ~ is_a_theorem(equivalent(W,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['255','2']) ).

cnf('257',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,f),Y),equivalent(Z,equivalent(Y,c))))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['256','8']) ).

cnf('258',plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(X,f),Y),equivalent(Z,equivalent(Y,c))))
    | ~ is_a_theorem(equivalent(Z,a)) ),
    inference(factorization,[],['257']) ).

cnf('259',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,f),Z),equivalent(U,equivalent(Z,c)))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['258','2']) ).

cnf('260',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,f),U),equivalent(V,equivalent(U,c))))))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['259','2']) ).

cnf('261',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,f),V),equivalent(W,equivalent(V,c)))))))
    | ~ is_a_theorem(equivalent(W,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['260','2']) ).

cnf('262',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,f),W),equivalent(X2006,equivalent(W,c))))))))
    | ~ is_a_theorem(equivalent(X2006,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['261','2']) ).

cnf('263',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,f),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(U,equivalent(Z,c))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['262','8']) ).

cnf('264',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,f),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(U,equivalent(Z,c))))
    | ~ is_a_theorem(equivalent(U,a)) ),
    inference(factorization,[],['263']) ).

cnf('265',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,f),U))))
    | ~ is_a_theorem(equivalent(Y,equivalent(V,equivalent(U,c))))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['264','2']) ).

cnf('266',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,f),V)))))
    | ~ is_a_theorem(equivalent(Z,equivalent(W,equivalent(V,c))))
    | ~ is_a_theorem(equivalent(W,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['265','2']) ).

cnf('267',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,f),c))))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['266','8']) ).

cnf('268',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,f),c))))
    | ~ is_a_theorem(equivalent(Z,a)) ),
    inference(factorization,[],['267']) ).

cnf('269',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,equivalent(equivalent(Z,f),c)))))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['268','2']) ).

cnf('270',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),equivalent(V,equivalent(equivalent(U,f),c))))))
    | ~ is_a_theorem(equivalent(V,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['269','2']) ).

cnf('271',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,V),equivalent(W,equivalent(equivalent(V,f),c)))))))
    | ~ is_a_theorem(equivalent(W,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['270','2']) ).

cnf('272',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,W),equivalent(X2006,equivalent(equivalent(W,f),c))))))))
    | ~ is_a_theorem(equivalent(X2006,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['271','2']) ).

cnf('273',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,f),c))))
    | ~ is_a_theorem(equivalent(X,equivalent(U,Z)))
    | ~ is_a_theorem(equivalent(Y,a))
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['272','8']) ).

cnf('274',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,f),c))))
    | ~ is_a_theorem(equivalent(X,equivalent(U,Z)))
    | ~ is_a_theorem(equivalent(Y,a)) ),
    inference(factorization,[],['273']) ).

cnf('275',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,f),c)))))
    | ~ is_a_theorem(equivalent(Y,equivalent(V,U)))
    | ~ is_a_theorem(equivalent(Z,a))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['274','2']) ).

cnf('276',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,f),c))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(W,V)))
    | ~ is_a_theorem(equivalent(U,a))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['275','2']) ).

cnf('277',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(Y,f)),equivalent(Z,Y)))
    | ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['276','8']) ).

cnf('278',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,c),a))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['277','8']) ).

cnf('279',plain,
    ~ is_a_theorem(equivalent(equivalent(X,c),a)),
    inference(factorization,[],['278']) ).

cnf('280',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,c),a)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['279','2']) ).

cnf('281',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,c),a))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['280','2']) ).

cnf('282',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,c),a)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['281','2']) ).

cnf('283',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,c),a))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['282','2']) ).

cnf('284',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(equivalent(W,c),a)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['283','2']) ).

cnf('285',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,c),a)))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['284','8']) ).

cnf('286',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,c),a)))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['285']) ).

cnf('287',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,c),a))))
    | ~ is_a_theorem(equivalent(Y,U))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['286','2']) ).

cnf('288',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,c),a)))))
    | ~ is_a_theorem(equivalent(Z,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['287','2']) ).

cnf('289',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,c),a))))))
    | ~ is_a_theorem(equivalent(U,W))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(W) ),
    inference(resolution,[],['288','2']) ).

cnf('290',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,a),Y))
    | ~ is_a_theorem(equivalent(X,equivalent(Z,c)))
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['289','8']) ).

cnf('291',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,a),Y))
    | ~ is_a_theorem(equivalent(X,equivalent(Z,c)))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['290']) ).

cnf('292',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,a),Z)))
    | ~ is_a_theorem(equivalent(Y,equivalent(U,c)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['291','2']) ).

cnf('293',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,a),U))))
    | ~ is_a_theorem(equivalent(Z,equivalent(V,c)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['292','2']) ).

cnf('294',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(a,Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(Z,c)))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['293','8']) ).

cnf('295',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(a,Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(Z,c))) ),
    inference(factorization,[],['294']) ).

cnf('296',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(a,Z))))
    | ~ is_a_theorem(equivalent(Y,equivalent(U,c)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['295','2']) ).

cnf('297',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),equivalent(a,U)))))
    | ~ is_a_theorem(equivalent(Z,equivalent(V,c)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['296','2']) ).

cnf('298',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,V),equivalent(a,V))))))
    | ~ is_a_theorem(equivalent(U,equivalent(W,c)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['297','2']) ).

cnf('299',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,W),equivalent(a,W)))))))
    | ~ is_a_theorem(equivalent(V,equivalent(X2006,c)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['298','2']) ).

cnf('300',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(Z,Y)))
    | ~ is_a_theorem(equivalent(Z,equivalent(U,c)))
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['299','8']) ).

cnf('301',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,c)))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,U)))
    | ~ is_a_theorem(equivalent(Z,equivalent(X,U))) ),
    inference(factorization,[],['300']) ).

cnf('302',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,c))))
    | ~ is_a_theorem(equivalent(U,equivalent(a,V)))
    | ~ is_a_theorem(equivalent(U,equivalent(Y,V)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['301','2']) ).

cnf('303',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,c)))))
    | ~ is_a_theorem(equivalent(V,equivalent(a,W)))
    | ~ is_a_theorem(equivalent(V,equivalent(Z,W)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['302','2']) ).

cnf('304',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,c))))))
    | ~ is_a_theorem(equivalent(W,equivalent(a,X2006)))
    | ~ is_a_theorem(equivalent(W,equivalent(U,X2006)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['303','2']) ).

cnf('305',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,c),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(a,Z)))
    | ~ is_a_theorem(equivalent(Y,U))
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['304','8']) ).

cnf('306',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,c),Z)))
    | ~ is_a_theorem(equivalent(X,equivalent(a,Z)))
    | ~ is_a_theorem(equivalent(Y,U)) ),
    inference(factorization,[],['305']) ).

cnf('307',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,c),U))))
    | ~ is_a_theorem(equivalent(Y,equivalent(a,U)))
    | ~ is_a_theorem(equivalent(Z,V))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['306','2']) ).

cnf('308',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,c),V)))))
    | ~ is_a_theorem(equivalent(Z,equivalent(a,V)))
    | ~ is_a_theorem(equivalent(U,W))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['307','2']) ).

cnf('309',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(a,equivalent(Y,c))))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['308','8']) ).

cnf('310',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(a,equivalent(Y,c))))
    | ~ is_a_theorem(equivalent(X,Z)) ),
    inference(factorization,[],['309']) ).

cnf('311',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(a,equivalent(Z,c)))))
    | ~ is_a_theorem(equivalent(Y,U))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['310','2']) ).

cnf('312',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),equivalent(a,equivalent(U,c))))))
    | ~ is_a_theorem(equivalent(Z,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['311','2']) ).

cnf('313',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,V),equivalent(a,equivalent(V,c)))))))
    | ~ is_a_theorem(equivalent(U,W))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['312','2']) ).

cnf('314',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,W),equivalent(a,equivalent(W,c))))))))
    | ~ is_a_theorem(equivalent(V,X2006))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['313','2']) ).

cnf('315',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(Y,c))))
    | ~ is_a_theorem(equivalent(X,equivalent(Z,Y)))
    | ~ is_a_theorem(equivalent(Z,U))
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['314','8']) ).

cnf('316',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(Y,c))))
    | ~ is_a_theorem(equivalent(X,equivalent(X,Y)))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['315']) ).

cnf('317',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,equivalent(Y,c))))
    | ~ is_a_theorem(equivalent(X,equivalent(X,Y))) ),
    inference(factorization,[],['316']) ).

cnf('318',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(a,equivalent(Z,c)))))
    | ~ is_a_theorem(equivalent(Y,equivalent(Y,Z)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['317','2']) ).

cnf('319',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(a,equivalent(U,c))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(Z,U)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['318','2']) ).

cnf('320',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(a,equivalent(V,c)))))))
    | ~ is_a_theorem(equivalent(U,equivalent(U,V)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['319','2']) ).

cnf('321',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,equivalent(Y,c)),equivalent(equivalent(X,equivalent(Y,c)),Y)))
    | ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['320','8']) ).

cnf('322',plain,
    ( ~ is_a_theorem(equivalent(X,a))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['321','8']) ).

cnf('323',plain,
    ~ is_a_theorem(equivalent(X,a)),
    inference(factorization,[],['322']) ).

cnf('324',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,a)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['323','2']) ).

cnf('325',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,a))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['324','2']) ).

cnf('326',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,a)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['325','2']) ).

cnf('327',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,a))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['326','2']) ).

cnf('328',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(W,a)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['327','2']) ).

cnf('329',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,a)))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['328','8']) ).

cnf('330',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,a)))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['329']) ).

cnf('331',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(X,equivalent(Y,a))))
    | ~ is_a_theorem(equivalent(X,equivalent(Y,a))) ),
    inference(factorization,[],['330']) ).

cnf('332',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Y,equivalent(Z,a)))))
    | ~ is_a_theorem(equivalent(Y,equivalent(Z,a)))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['331','2']) ).

cnf('333',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(Z,equivalent(U,a))))))
    | ~ is_a_theorem(equivalent(Z,equivalent(U,a)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['332','2']) ).

cnf('334',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,a),equivalent(a,a)))
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['333','8']) ).

cnf('335',plain,
    ~ is_a_theorem(equivalent(equivalent(X,a),equivalent(a,a))),
    inference(factorization,[],['334']) ).

cnf('336',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,a),equivalent(a,a))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['335','2']) ).

cnf('337',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,a),equivalent(a,a)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['336','2']) ).

cnf('338',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,a),equivalent(a,a))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['337','2']) ).

cnf('339',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,a),equivalent(a,a)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['338','2']) ).

cnf('340',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,a)))
    | ~ is_a_theorem(equivalent(X,equivalent(Y,a)))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['339','8']) ).

cnf('341',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,a)))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['340']) ).

cnf('342',plain,
    ~ is_a_theorem(equivalent(X,equivalent(a,a))),
    inference(factorization,[],['341']) ).

cnf('343',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(a,a))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['342','2']) ).

cnf('344',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(a,a)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['343','2']) ).

cnf('345',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(a,a))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['344','2']) ).

cnf('346',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(a,a)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['345','2']) ).

cnf('347',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(V,equivalent(W,equivalent(a,a))))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(V)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['346','2']) ).

cnf('348',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(a,a))))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['347','8']) ).

cnf('349',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(a,a))))
    | ~ is_a_theorem(equivalent(X,Z))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['348']) ).

cnf('350',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(a,a)))))
    | ~ is_a_theorem(equivalent(Y,U))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['349','2']) ).

cnf('351',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(a,a))))))
    | ~ is_a_theorem(equivalent(Z,V))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y)
    | ~ is_a_theorem(V) ),
    inference(resolution,[],['350','2']) ).

cnf('352',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,a),Y))
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['351','8']) ).

cnf('353',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,a),Y))
    | ~ is_a_theorem(Y) ),
    inference(factorization,[],['352']) ).

cnf('354',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,a),Z)))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['353','2']) ).

cnf('355',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,a),U))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['354','2']) ).

cnf('356',plain,
    ( ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(a,Y)))
    | ~ is_a_theorem(Z) ),
    inference(resolution,[],['355','8']) ).

cnf('357',plain,
    ~ is_a_theorem(equivalent(equivalent(X,Y),equivalent(a,Y))),
    inference(factorization,[],['356']) ).

cnf('358',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(a,Z))))
    | ~ is_a_theorem(X) ),
    inference(resolution,[],['357','2']) ).

cnf('359',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(equivalent(Z,U),equivalent(a,U)))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['358','2']) ).

cnf('360',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(U,V),equivalent(a,V))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['359','2']) ).

cnf('361',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(Y,equivalent(Z,equivalent(U,equivalent(equivalent(V,W),equivalent(a,W)))))))
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(Z)
    | ~ is_a_theorem(U)
    | ~ is_a_theorem(Y) ),
    inference(resolution,[],['360','2']) ).

cnf('362',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,Y)))
    | ~ is_a_theorem(equivalent(X,equivalent(Z,Y)))
    | ~ is_a_theorem(U) ),
    inference(resolution,[],['361','8']) ).

cnf('363',plain,
    ( ~ is_a_theorem(equivalent(X,equivalent(a,Y)))
    | ~ is_a_theorem(Z) ),
    inference(factorization,[],['362']) ).

cnf('364',plain,
    $false,
    inference(factorization,[then_simplify],['363','8']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL124-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.00/0.14  % Command  : gkc %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 19:20:33 EDT 2023
% 0.13/0.35  % 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:                     3
% 0.20/0.40  in_rule_clause_count:                3
% 0.20/0.40  in_fact_clause_count:                0
% 0.20/0.40  in_answer_clause_count:              0
% 0.20/0.40  in_ground_clause_count:              1
% 0.20/0.40  in_unit_clause_count:                2
% 0.20/0.40  in_horn_clause_count:                3
% 0.20/0.40  in_pos_clause_count:                 1
% 0.20/0.40  in_neg_clause_count:                 1
% 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:             3
% 0.20/0.40  in_min_depth:              2
% 0.20/0.40  in_max_depth:              6
% 0.20/0.40  in_min_size:               8
% 0.20/0.40  in_max_size:              24
% 0.20/0.40  in_min_vars:               0
% 0.20/0.40  in_max_vars:               4
% 0.20/0.40  in_extaxiom_count:                 0
% 0.20/0.40  in_axiom_count:                    2
% 0.20/0.40  in_assumption_count:               0
% 0.20/0.40  in_goal_count:                     1
% 0.20/0.40  in_neg_goal_count:                 1
% 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, "strategy":["hardness_pref"], "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"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 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":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":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":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "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  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 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  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 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":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.40  
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1} 
% 0.20/0.40  
% 0.20/0.40  ]}
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  **** run 1 fork 0 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 2 fork 1 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 3 fork 2 starts with strategy
% 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  
% 0.20/0.40  **** run 4 fork 3 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.40  
% 0.20/0.40  **** run 5 fork 4 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.20/0.40  
% 0.20/0.40  **** run 6 fork 5 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.40  
% 0.20/0.40  **** run 7 fork 6 starts with strategy
% 0.20/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.41  
% 0.20/0.41  **** run 8 fork 7 starts with strategy
% 0.20/0.41  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 2: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 3: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 5: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  fork 0: search terminated without proof.
% 0.20/0.53  
% 0.20/0.53  fork 7: search finished without proof.
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  fork 6: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  fork 4: search terminated without proof.
% 0.20/0.54  
% 0.20/0.54  **** run 11 fork 2 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.54  
% 0.20/0.54  **** run 12 fork 3 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 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":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.54  
% 0.20/0.54  **** run 14 fork 5 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.55  
% 0.20/0.55  **** run 16 fork 7 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.55  
% 0.20/0.55  fork 1: search finished without proof.
% 0.20/0.55  
% 0.20/0.55  **** run 15 fork 6 starts with strategy
% 0.20/0.55  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 0.20/0.56  
% 0.20/0.56  **** run 13 fork 4 starts with strategy
% 0.20/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.57  
% 0.20/0.57  **** run 10 fork 1 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  fork 2: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 0: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 5: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  fork 7: search finished without proof.
% 0.20/0.66  
% 0.20/0.66  
% 0.20/0.66  fork 3: search terminated without proof.
% 0.20/0.66  
% 0.20/0.66  fork 6: search finished without proof.
% 0.20/0.67  
% 0.20/0.67  
% 0.20/0.67  fork 4: search terminated without proof.
% 0.20/0.67  
% 0.20/0.67  **** run 19 fork 2 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.20/0.67  
% 0.20/0.67  **** run 24 fork 7 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.67  
% 0.20/0.67  **** run 17 fork 0 starts with strategy
% 0.20/0.67  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 0.20/0.68  
% 0.20/0.68  **** run 22 fork 5 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.68  
% 0.20/0.68  **** run 23 fork 6 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 0.20/0.68  
% 0.20/0.68  
% 0.20/0.68  fork 1: search terminated without proof.
% 0.20/0.68  
% 0.20/0.68  **** run 20 fork 3 starts with strategy
% 0.20/0.68  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.20/0.69  
% 0.20/0.69  **** run 21 fork 4 starts with strategy
% 0.20/0.69  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.20/0.70  
% 0.20/0.70  **** run 18 fork 1 starts with strategy
% 0.20/0.70  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.20/0.71  
% 0.20/0.71  fork 7: search finished without proof.
% 0.20/0.72  
% 0.20/0.72  fork 3: search finished without proof.
% 0.20/0.73  
% 0.20/0.73  **** run 32 fork 7 starts with strategy
% 0.20/0.73  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 0.20/0.74  
% 0.20/0.74  **** run 28 fork 3 starts with strategy
% 0.20/0.74  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.79  
% 0.20/0.79  
% 0.20/0.79  fork 6: search terminated without proof.
% 0.20/0.80  
% 0.20/0.80  fork 4: search finished without proof.
% 0.20/0.80  
% 0.20/0.80  
% 0.20/0.80  fork 2: search terminated without proof.
% 0.20/0.81  
% 0.20/0.81  
% 0.20/0.81  fork 0: search terminated without proof.
% 0.20/0.81  
% 0.20/0.81  **** run 31 fork 6 starts with strategy
% 0.20/0.81  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.20/0.81  
% 0.20/0.81  fork 5: search finished without proof.
% 0.20/0.82  
% 0.20/0.82  **** run 29 fork 4 starts with strategy
% 0.20/0.82  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.20/0.83  
% 0.20/0.83  **** run 25 fork 0 starts with strategy
% 0.20/0.83  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.83  
% 0.20/0.83  **** run 30 fork 5 starts with strategy
% 0.20/0.83  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.20/0.85  
% 0.20/0.85  
% 0.20/0.85  fork 1: search terminated without proof.
% 0.20/0.85  
% 0.20/0.85  **** run 27 fork 2 starts with strategy
% 0.20/0.85  {"max_dseconds":1,"strategy":["negative_pref","max_ground_weight"],"query_preference":0}
% 0.20/0.85  
% 0.20/0.85  fork 4: search finished without proof.
% 0.20/0.86  
% 0.20/0.86  
% 0.20/0.86  fork 3: search terminated without proof.
% 0.20/0.87  
% 0.20/0.87  **** run 37 fork 4 starts with strategy
% 0.20/0.87  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.20/0.88  
% 0.20/0.88  fork 7: search finished without proof.
% 0.20/0.89  
% 0.20/0.89  **** run 36 fork 3 starts with strategy
% 0.20/0.89  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.89  
% 0.20/0.89  **** run 26 fork 1 starts with strategy
% 0.20/0.89  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 3.94/0.90  
% 3.94/0.90  **** run 40 fork 7 starts with strategy
% 3.94/0.90  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 3.94/0.94  
% 3.94/0.94  fork 6: search finished without proof.
% 3.94/0.95  
% 3.94/0.95  fork 0: search finished without proof.
% 4.34/0.96  
% 4.34/0.96  **** run 39 fork 6 starts with strategy
% 4.34/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 4.34/0.96  
% 4.34/0.96  **** run 33 fork 0 starts with strategy
% 4.34/0.96  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 4.34/0.97  
% 4.34/0.97  
% 4.34/0.97  fork 5: search terminated without proof.
% 4.34/0.98  
% 4.34/0.98  fork 6: search finished without proof.
% 4.34/0.99  
% 4.34/0.99  
% 4.34/0.99  fork 4: search terminated without proof.
% 4.34/0.99  
% 4.34/0.99  fork 0: search finished without proof.
% 4.34/0.99  
% 4.34/0.99  **** run 38 fork 5 starts with strategy
% 4.34/0.99  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.34/1.00  
% 4.34/1.00  
% 4.34/1.00  fork 2: search terminated without proof.
% 4.34/1.00  
% 4.34/1.00  **** run 47 fork 6 starts with strategy
% 4.34/1.00  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.34/1.00  
% 4.34/1.00  **** run 45 fork 4 starts with strategy
% 4.34/1.00  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 4.34/1.01  
% 4.34/1.01  **** run 41 fork 0 starts with strategy
% 4.34/1.01  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 4.34/1.02  
% 4.34/1.02  fork 7: search finished without proof.
% 4.34/1.02  
% 4.34/1.02  **** run 35 fork 2 starts with strategy
% 4.34/1.02  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 4.34/1.02  
% 4.34/1.02  
% 4.34/1.02  fork 1: search terminated without proof.
% 4.34/1.02  
% 4.34/1.02  fork 5: search finished without proof.
% 4.34/1.03  
% 4.34/1.03  
% 4.34/1.03  fork 3: search terminated without proof.
% 4.34/1.03  
% 4.34/1.03  **** run 48 fork 7 starts with strategy
% 4.34/1.03  {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.34/1.04  
% 4.34/1.04  **** run 34 fork 1 starts with strategy
% 4.34/1.04  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.34/1.04  
% 4.34/1.04  **** run 46 fork 5 starts with strategy
% 4.34/1.04  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 5.11/1.05  
% 5.11/1.05  **** run 44 fork 3 starts with strategy
% 5.11/1.05  {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 5.49/1.14  
% 5.49/1.14  fork 2: search finished without proof.
% 5.83/1.15  
% 5.83/1.15  **** run 43 fork 2 starts with strategy
% 5.83/1.15  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 5.83/1.16  
% 5.83/1.16  
% 5.83/1.16  fork 1: search terminated without proof.
% 5.83/1.18  
% 5.83/1.18  **** run 42 fork 1 starts with strategy
% 5.83/1.18  {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 12.40/1.98  
% 12.40/1.98  fork 7: search finished without proof.
% 12.40/2.00  
% 12.40/2.00  **** run 56 fork 7 starts with strategy
% 12.40/2.00  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 12.40/2.02  
% 12.40/2.02  
% 12.40/2.02  fork 4: search terminated without proof.
% 12.40/2.02  
% 12.40/2.02  
% 12.40/2.02  fork 6: search terminated without proof.
% 12.40/2.03  
% 12.40/2.03  
% 12.40/2.03  fork 0: search terminated without proof.
% 12.84/2.04  
% 12.84/2.04  **** run 53 fork 4 starts with strategy
% 12.84/2.04  {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 12.99/2.06  
% 12.99/2.06  **** run 49 fork 0 starts with strategy
% 12.99/2.06  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 12.99/2.06  
% 12.99/2.06  **** run 55 fork 6 starts with strategy
% 12.99/2.06  {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 12.99/2.07  
% 12.99/2.07  
% 12.99/2.07  fork 3: search terminated without proof.
% 12.99/2.10  
% 12.99/2.10  **** run 52 fork 3 starts with strategy
% 12.99/2.10  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 13.51/2.16  
% 13.51/2.16  
% 13.51/2.16  fork 5: search terminated without proof.
% 13.51/2.17  
% 13.51/2.17  
% 13.51/2.17  fork 2: search terminated without proof.
% 13.51/2.19  
% 13.51/2.19  **** run 51 fork 2 starts with strategy
% 13.51/2.19  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 13.51/2.23  
% 13.51/2.23  **** run 54 fork 5 starts with strategy
% 13.51/2.23  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 13.51/2.23  
% 13.51/2.23  
% 13.51/2.23  fork 1: search terminated without proof.
% 13.51/2.26  
% 13.51/2.26  **** run 50 fork 1 starts with strategy
% 13.51/2.26  {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 19.32/2.94  
% 19.32/2.94  fork 7: search finished without proof.
% 19.32/2.96  
% 19.32/2.96  **** run 64 fork 7 starts with strategy
% 19.32/2.96  {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 19.32/2.98  
% 19.32/2.98  fork 7: search finished without proof.
% 19.32/3.00  
% 19.32/3.00  **** run 72 fork 7 starts with strategy
% 19.32/3.00  {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 20.46/3.05  
% 20.46/3.05  fork 6: search finished without proof.
% 20.46/3.07  
% 20.46/3.07  **** run 63 fork 6 starts with strategy
% 20.46/3.07  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":2}
% 20.46/3.08  
% 20.46/3.08  
% 20.46/3.08  fork 0: search terminated without proof.
% 20.98/3.10  
% 20.98/3.10  **** run 57 fork 0 starts with strategy
% 20.98/3.10  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 20.98/3.10  
% 20.98/3.10  
% 20.98/3.10  fork 4: search terminated without proof.
% 20.98/3.12  
% 20.98/3.12  
% 20.98/3.12  fork 3: search terminated without proof.
% 20.98/3.12  
% 20.98/3.12  **** run 61 fork 4 starts with strategy
% 20.98/3.12  {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 20.98/3.14  
% 20.98/3.14  **** run 60 fork 3 starts with strategy
% 20.98/3.14  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 20.98/3.16  
% 20.98/3.16  fork 3: search finished without proof.
% 21.61/3.17  
% 21.61/3.17  **** run 68 fork 3 starts with strategy
% 21.61/3.17  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 22.22/3.24  
% 22.22/3.24  
% 22.22/3.24  fork 2: search terminated without proof.
% 22.22/3.27  
% 22.22/3.27  **** run 59 fork 2 starts with strategy
% 22.22/3.27  {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 22.22/3.28  
% 22.22/3.28  
% 22.22/3.28  fork 1: search terminated without proof.
% 22.22/3.30  
% 22.22/3.30  **** run 58 fork 1 starts with strategy
% 22.22/3.30  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
% 23.36/3.38  
% 23.36/3.38  
% 23.36/3.38  fork 5: search terminated without proof.
% 23.36/3.41  
% 23.36/3.41  **** run 62 fork 5 starts with strategy
% 23.36/3.41  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 27.61/3.98  
% 27.61/3.98  fork 7: search finished without proof.
% 27.90/4.00  
% 27.90/4.00  **** run 80 fork 7 starts with strategy
% 27.90/4.00  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 28.16/4.09  
% 28.16/4.09  fork 4: search finished without proof.
% 28.59/4.11  
% 28.59/4.11  **** run 69 fork 4 starts with strategy
% 28.59/4.11  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 28.59/4.13  
% 28.59/4.13  
% 28.59/4.13  fork 6: search terminated without proof.
% 28.59/4.13  
% 28.59/4.13  fork 4: search finished without proof.
% 28.59/4.15  
% 28.59/4.15  **** run 77 fork 4 starts with strategy
% 28.59/4.15  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 28.59/4.15  
% 28.59/4.15  **** run 71 fork 6 starts with strategy
% 28.59/4.15  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 28.59/4.15  
% 28.59/4.15  
% 28.59/4.15  fork 0: search terminated without proof.
% 29.01/4.17  
% 29.01/4.17  **** run 65 fork 0 starts with strategy
% 29.01/4.17  {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 29.01/4.18  
% 29.01/4.18  
% 29.01/4.18  result: proof found
% 29.01/4.18  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 29.01/4.18  by run 62 fork 5 strategy {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 29.01/4.18  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 29.01/4.18  
% 29.01/4.18  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 29.01/4.19  
% 29.01/4.19  run 62 fork 5 statistics:
% 29.01/4.19  ----------------------------------
% 29.01/4.19  this run seconds: 0.366806
% 29.01/4.19  total seconds: 3.115712
% 29.01/4.19  stat_given_used: 3742
% 29.01/4.19  stat_given_used_at_endgame: 0
% 29.01/4.19  stat_given_candidates:   5042
% 29.01/4.19  stat_given_candidates_at_endgame: 0
% 29.01/4.19  stat_given_candidates_h: 0
% 29.01/4.19  stat_binres_derived_cl:   4907
% 29.01/4.19  stat_binres_derived_cl_h: 0
% 29.01/4.19  stat_factor_derived_cl: 2193
% 29.01/4.19  stat_para_derived_cl: 0
% 29.01/4.19  stat_tautologies_discarded: 0
% 29.01/4.19  stat_forward_subsumed: 171
% 29.01/4.19  stat_derived_cut: 20
% 29.01/4.19  stat_derived_rewritten: 0
% 29.01/4.19  stat_weight_discarded_building: 0
% 29.01/4.19  stat_weight_discarded_cl: 0
% 29.01/4.19  stat_internlimit_discarded_cl: 0
% 29.01/4.19  stat_simplified:  0 simplified 0 derived 0 given
% 29.01/4.19  stat_kept_cl: 6928
% 29.01/4.19  stat_built_cl: 14416
% 29.01/4.19  stat_hyperres_partial_cl: 0
% 29.01/4.19  stat_made_rewriters: 0
% 29.01/4.19  stat_backward_subsumed: 0
% 29.01/4.19  stat_propagated_subsumed: 0
% 29.01/4.19  stat_clsubs_attempted:                    881926
% 29.01/4.19  stat_clsubs_fact_groundunit_found:             0
% 29.01/4.19  stat_clsubs_rule_groundunit_found:             1
% 29.01/4.19  stat_clsubs_top_meta_attempted:            9520159
% 29.01/4.19  stat_clsubs_top_meta_failed:               8638233
% 29.01/4.19  stat_clsubs_top_meta_nonpref_attempted:             9520159
% 29.01/4.19  stat_clsubs_top_meta_nonpref_succeeded:              985374
% 29.01/4.19  stat_clsubs_top_meta_pref_attempted:                 985374
% 29.01/4.19  stat_clsubs_top_meta_pref1_succeeded:                976958
% 29.01/4.19  stat_clsubs_top_meta_pref2_succeeded:                971862
% 29.01/4.19  stat_clsubs_top_meta_pref3_succeeded:                881926
% 29.01/4.19  stat_clsubs_top_meta_pref_succeeded:                 881926
% 29.01/4.19  stat_clsubs_meta_attempted:              1692544
% 29.01/4.19  stat_clsubs_meta_failed:                 1004379
% 29.01/4.19  stat_clsubs_predsymbs_attempted:               0
% 29.01/4.19  stat_clsubs_unit_attempted:                 3863
% 29.01/4.19  stat_clsubs_full_attempted:               878063
% 29.01/4.19  stat_forwardsubs_attempted:                 7100
% 29.01/4.19  stat_lit_hash_added:                   1506
% 29.01/4.19  stat_lit_hash_computed:               91743
% 29.01/4.19  stat_lit_hash_match_found:              194
% 29.01/4.19  stat_lit_hash_match_miss:            138263
% 29.01/4.19  stat_lit_hash_cut_ok:                     0
% 29.01/4.19  stat_lit_strong_cut_ok:                  20
% 29.01/4.19  stat_lit_hash_subsume_ok:               171
% 29.01/4.19  clqueue els 10000000 used 1
% 29.01/4.19  clactive els 10000000 used 3745
% 29.01/4.19  clactivesubsume els 10000000 used 22429
% 29.01/4.19  queue_termbuf els 200000000 used 940506
% 29.01/4.19  hyper_termbuf els 100000000 used 1
% 29.01/4.19  active_termbuf els 100000000 used 430334
% 29.01/4.19  varstack els 5000 last used 1
% 29.01/4.19  given_termbuf els 10000000 last used 1
% 29.01/4.19  simplified_termbuf els 10000000 last used 1
% 29.01/4.19  derived_termbuf els 10000000 last used 34
% 29.01/4.19  wr_mallocs: 25977
% 29.01/4.19  wr_callocs: 21
% 29.01/4.19  wr_reallocs: 699
% 29.01/4.19  wr_frees: 2
% 29.01/4.19  wr_malloc_bytes: 4163431172
% 29.01/4.19  wr_calloc_bytes: 112065536
% 29.01/4.19  wr_realloc_bytes: 414736
% 29.01/4.19  wr_realloc_freebytes: 0
% 29.01/4.19  ----------------------------------
%------------------------------------------------------------------------------