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GKC---0.8.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP128-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n027.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 00:52:41 EDT 2023

% Result   : Unsatisfiable 226.92s 29.58s
% Output   : CNFRefutation 226.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( product(X,Y,e_6)
    | product(X,Y,e_5)
    | product(X,Y,e_4)
    | product(X,Y,e_3)
    | product(X,Y,e_2)
    | product(X,Y,e_1)
    | ~ group_element(Y)
    | ~ group_element(X) ),
    inference(cnf_transformation,[],[product_total_function1]) ).

cnf('2',plain,
    ( product(X,X,e_6)
    | product(X,X,e_5)
    | product(X,X,e_4)
    | product(X,X,e_3)
    | product(X,X,e_2)
    | product(X,X,e_1)
    | ~ group_element(X) ),
    inference(factorization,[],['1']) ).

cnf('3',plain,
    group_element(e_6),
    inference(cnf_transformation,[],[element_6]) ).

cnf('4',plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | product(e_6,e_6,e_6) ),
    inference(resolution,[],['2','3']) ).

cnf('5',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,Z)
    | equalish(U,X) ),
    inference(cnf_transformation,[],[product_left_cancellation]) ).

cnf('6',plain,
    ( product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | equalish(X,e_6) ),
    inference(resolution,[],['4','5']) ).

cnf('7',plain,
    ( product(X,e_6,e_6)
    | product(X,e_6,e_5)
    | product(X,e_6,e_4)
    | product(X,e_6,e_3)
    | product(X,e_6,e_2)
    | product(X,e_6,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','3']) ).

cnf('8',plain,
    group_element(e_2),
    inference(cnf_transformation,[],[element_2]) ).

cnf('9',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | product(e_2,e_6,e_6) ),
    inference(resolution,[],['7','8']) ).

cnf('10',plain,
    ~ equalish(e_2,e_6),
    inference(cnf_transformation,[],[e_2_is_not_e_6]) ).

cnf('11',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5) ),
    inference(resolution,[then_simplify],['6','9','10']) ).

cnf('12',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,X)
    | product(U,X,Z) ),
    inference(cnf_transformation,[],[qg3]) ).

cnf('13',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_5) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4) ),
    inference(resolution,[],['13','9']) ).

cnf('15',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_4) ),
    inference(resolution,[],['14','12']) ).

cnf('16',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3) ),
    inference(resolution,[],['15','9']) ).

cnf('17',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_6,e_6,e_2)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_3) ),
    inference(resolution,[],['16','12']) ).

cnf('18',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | product(e_6,e_6,e_2) ),
    inference(resolution,[],['17','9']) ).

cnf('19',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_2) ),
    inference(resolution,[],['18','12']) ).

cnf('20',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_6,e_6,e_1)
    | product(e_2,e_6,e_5) ),
    inference(resolution,[],['19','9']) ).

cnf('21',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_1) ),
    inference(resolution,[],['20','12']) ).

cnf('22',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,e_5) ),
    inference(resolution,[],['21','9']) ).

cnf('23',plain,
    group_element(e_1),
    inference(cnf_transformation,[],[element_1]) ).

cnf('24',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_1,e_6,e_6) ),
    inference(resolution,[],['7','23']) ).

cnf('25',plain,
    ~ equalish(e_1,e_6),
    inference(cnf_transformation,[],[e_1_is_not_e_6]) ).

cnf('26',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5) ),
    inference(resolution,[then_simplify],['6','24','25']) ).

cnf('27',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_5) ),
    inference(resolution,[],['26','12']) ).

cnf('28',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4) ),
    inference(resolution,[],['27','24']) ).

cnf('29',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_4) ),
    inference(resolution,[],['28','12']) ).

cnf('30',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | product(e_6,e_6,e_3) ),
    inference(resolution,[],['29','24']) ).

cnf('31',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_3) ),
    inference(resolution,[],['30','12']) ).

cnf('32',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | product(e_6,e_6,e_2) ),
    inference(resolution,[],['31','24']) ).

cnf('33',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_2) ),
    inference(resolution,[],['32','12']) ).

cnf('34',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_1) ),
    inference(resolution,[],['33','24']) ).

cnf('35',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_6) ),
    inference(resolution,[],['24','12']) ).

cnf('36',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_1,e_6) ),
    inference(resolution,[],['34','35']) ).

cnf('37',plain,
    ( ~ product(X,Y,X)
    | product(X,X,X) ),
    inference(factorization,[],['12']) ).

cnf('38',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_6) ),
    inference(resolution,[],['36','37']) ).

cnf('39',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | equalish(X,e_1) ),
    inference(resolution,[],['24','5']) ).

cnf('40',plain,
    ~ equalish(e_6,e_1),
    inference(cnf_transformation,[],[e_6_is_not_e_1]) ).

cnf('41',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[then_simplify],['38','39','40']) ).

cnf('42',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | ~ product(X,e_6,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['41','5']) ).

cnf('43',plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[],[e_2_is_not_e_1]) ).

cnf('44',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['22','42','43']) ).

cnf('45',plain,
    ( product(X,e_1,e_6)
    | product(X,e_1,e_5)
    | product(X,e_1,e_4)
    | product(X,e_1,e_3)
    | product(X,e_1,e_2)
    | product(X,e_1,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','23']) ).

cnf('46',plain,
    group_element(e_4),
    inference(cnf_transformation,[],[element_4]) ).

cnf('47',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | product(e_4,e_1,e_6) ),
    inference(resolution,[],['45','46']) ).

cnf('48',plain,
    ( ~ product(X,e_1,Y)
    | ~ greater(Y,Z)
    | ~ next(X,Z) ),
    inference(cnf_transformation,[],[no_redundancy]) ).

cnf('49',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5)
    | ~ greater(e_6,X)
    | ~ next(e_4,X) ),
    inference(resolution,[],['47','48']) ).

cnf('50',plain,
    greater(e_6,e_5),
    inference(cnf_transformation,[],[e_6_greater_e_5]) ).

cnf('51',plain,
    next(e_4,e_5),
    inference(cnf_transformation,[],[e_4_then_e_5]) ).

cnf('52',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_4,e_1,e_5) ),
    inference(resolution,[then_simplify],['49','50','51']) ).

cnf('53',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | ~ product(X,e_1,e_4)
    | product(X,e_4,e_5) ),
    inference(resolution,[],['52','12']) ).

cnf('54',plain,
    group_element(e_3),
    inference(cnf_transformation,[],[element_3]) ).

cnf('55',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | product(e_3,e_1,e_6) ),
    inference(resolution,[],['45','54']) ).

cnf('56',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5)
    | ~ greater(e_6,X)
    | ~ next(e_3,X) ),
    inference(resolution,[],['55','48']) ).

cnf('57',plain,
    greater(e_6,e_4),
    inference(cnf_transformation,[],[e_6_greater_e_4]) ).

cnf('58',plain,
    next(e_3,e_4),
    inference(cnf_transformation,[],[e_3_then_e_4]) ).

cnf('59',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | product(e_3,e_1,e_5) ),
    inference(resolution,[then_simplify],['56','57','58']) ).

cnf('60',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4)
    | ~ greater(e_5,X)
    | ~ next(e_3,X) ),
    inference(resolution,[],['59','48']) ).

cnf('61',plain,
    greater(e_5,e_4),
    inference(cnf_transformation,[],[e_5_greater_e_4]) ).

cnf('62',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_1,e_4) ),
    inference(resolution,[then_simplify],['60','61','58']) ).

cnf('63',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[],['53','62']) ).

cnf('64',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(X,e_1,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['62','5']) ).

cnf('65',plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[],[e_4_is_not_e_3]) ).

cnf('66',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[then_simplify],['63','64','65']) ).

cnf('67',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(X,e_1,e_3)
    | product(X,e_3,e_4) ),
    inference(resolution,[],['62','12']) ).

cnf('68',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_3,e_4)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[],['66','67']) ).

cnf('69',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(U,Y) ),
    inference(cnf_transformation,[],[product_right_cancellation]) ).

cnf('70',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | ~ product(e_4,X,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['68','69']) ).

cnf('71',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_4,e_4)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[],['68','37']) ).

cnf('72',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[then_simplify],['70','71','65']) ).

cnf('73',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | product(e_1,e_1,e_6) ),
    inference(resolution,[],['2','23']) ).

cnf('74',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5)
    | ~ greater(e_6,X)
    | ~ next(e_1,X) ),
    inference(resolution,[],['73','48']) ).

cnf('75',plain,
    greater(e_6,e_2),
    inference(cnf_transformation,[],[e_6_greater_e_2]) ).

cnf('76',plain,
    next(e_1,e_2),
    inference(cnf_transformation,[],[e_1_then_e_2]) ).

cnf('77',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | product(e_1,e_1,e_5) ),
    inference(resolution,[then_simplify],['74','75','76']) ).

cnf('78',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4)
    | ~ greater(e_5,X)
    | ~ next(e_1,X) ),
    inference(resolution,[],['77','48']) ).

cnf('79',plain,
    greater(e_5,e_2),
    inference(cnf_transformation,[],[e_5_greater_e_2]) ).

cnf('80',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(resolution,[then_simplify],['78','79','76']) ).

cnf('81',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | ~ greater(e_4,X)
    | ~ next(e_1,X) ),
    inference(resolution,[],['80','48']) ).

cnf('82',plain,
    greater(e_4,e_2),
    inference(cnf_transformation,[],[e_4_greater_e_2]) ).

cnf('83',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(resolution,[then_simplify],['81','82','76']) ).

cnf('84',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | ~ greater(e_3,X)
    | ~ next(e_1,X) ),
    inference(resolution,[],['83','48']) ).

cnf('85',plain,
    greater(e_3,e_2),
    inference(cnf_transformation,[],[e_3_greater_e_2]) ).

cnf('86',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[then_simplify],['84','85','76']) ).

cnf('87',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['86','5']) ).

cnf('88',plain,
    ~ equalish(e_4,e_1),
    inference(cnf_transformation,[],[e_4_is_not_e_1]) ).

cnf('89',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[then_simplify],['72','87','88']) ).

cnf('90',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(X,e_1,e_1)
    | product(X,e_1,e_2) ),
    inference(resolution,[],['86','12']) ).

cnf('91',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[],['89','90']) ).

cnf('92',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[then_simplify],['91','87','88']) ).

cnf('93',plain,
    ( product(X,e_2,e_6)
    | product(X,e_2,e_5)
    | product(X,e_2,e_4)
    | product(X,e_2,e_3)
    | product(X,e_2,e_2)
    | product(X,e_2,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','8']) ).

cnf('94',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_5)
    | product(e_3,e_2,e_6) ),
    inference(resolution,[],['93','54']) ).

cnf('95',plain,
    ( product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_5)
    | ~ product(X,e_2,e_3)
    | product(X,e_3,e_6) ),
    inference(resolution,[],['94','12']) ).

cnf('96',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | product(e_2,e_1,e_6) ),
    inference(resolution,[],['45','8']) ).

cnf('97',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5)
    | ~ greater(e_6,X)
    | ~ next(e_2,X) ),
    inference(resolution,[],['96','48']) ).

cnf('98',plain,
    greater(e_6,e_3),
    inference(cnf_transformation,[],[e_6_greater_e_3]) ).

cnf('99',plain,
    next(e_2,e_3),
    inference(cnf_transformation,[],[e_2_then_e_3]) ).

cnf('100',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | product(e_2,e_1,e_5) ),
    inference(resolution,[then_simplify],['97','98','99']) ).

cnf('101',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4)
    | ~ greater(e_5,X)
    | ~ next(e_2,X) ),
    inference(resolution,[],['100','48']) ).

cnf('102',plain,
    greater(e_5,e_3),
    inference(cnf_transformation,[],[e_5_greater_e_3]) ).

cnf('103',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_2,e_1,e_4) ),
    inference(resolution,[then_simplify],['101','102','99']) ).

cnf('104',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | ~ greater(e_4,X)
    | ~ next(e_2,X) ),
    inference(resolution,[],['103','48']) ).

cnf('105',plain,
    greater(e_4,e_3),
    inference(cnf_transformation,[],[e_4_greater_e_3]) ).

cnf('106',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(resolution,[then_simplify],['104','105','99']) ).

cnf('107',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(X,e_1,e_2)
    | product(X,e_2,e_3) ),
    inference(resolution,[],['106','12']) ).

cnf('108',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_3) ),
    inference(resolution,[],['107','86']) ).

cnf('109',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_3) ),
    inference(resolution,[then_simplify],['108','87','43']) ).

cnf('110',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_3) ),
    inference(resolution,[],['109','90']) ).

cnf('111',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_3) ),
    inference(resolution,[then_simplify],['110','87','43']) ).

cnf('112',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_3,e_2,e_5)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[],['95','111']) ).

cnf('113',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_1,e_3,e_6)
    | ~ product(e_3,X,e_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['112','69']) ).

cnf('114',plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[],[e_4_is_not_e_2]) ).

cnf('115',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_2,e_3)
    | product(e_3,e_2,e_4)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[then_simplify],['92','113','114']) ).

cnf('116',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(e_3,X,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['62','69']) ).

cnf('117',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_2,e_3)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[then_simplify],['115','116','43']) ).

cnf('118',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(X,e_2,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['111','5']) ).

cnf('119',plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[],[e_3_is_not_e_1]) ).

cnf('120',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_2,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[then_simplify],['117','118','119']) ).

cnf('121',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_6)
    | ~ product(X,e_2,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['120','12']) ).

cnf('122',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_2,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[],['121','111']) ).

cnf('123',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(X,e_2,e_1)
    | product(X,e_1,e_3) ),
    inference(resolution,[],['111','12']) ).

cnf('124',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[],['122','123']) ).

cnf('125',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_6)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['124','69']) ).

cnf('126',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[],['124','37']) ).

cnf('127',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[then_simplify],['125','126','119']) ).

cnf('128',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[then_simplify],['127','87','119']) ).

cnf('129',plain,
    ( product(e_1,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[],['128','90']) ).

cnf('130',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[then_simplify],['129','87','119']) ).

cnf('131',plain,
    ( product(X,e_3,e_6)
    | product(X,e_3,e_5)
    | product(X,e_3,e_4)
    | product(X,e_3,e_3)
    | product(X,e_3,e_2)
    | product(X,e_3,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','54']) ).

cnf('132',plain,
    ( product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_6,e_3,e_4)
    | product(e_6,e_3,e_5)
    | product(e_6,e_3,e_6) ),
    inference(resolution,[],['131','3']) ).

cnf('133',plain,
    ( product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_6,e_3,e_4)
    | product(e_6,e_3,e_5)
    | ~ product(e_6,X,e_6)
    | equalish(X,e_3) ),
    inference(resolution,[],['132','69']) ).

cnf('134',plain,
    ( product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_6,e_3,e_4)
    | product(e_6,e_3,e_5)
    | product(e_6,e_6,e_6) ),
    inference(resolution,[],['132','37']) ).

cnf('135',plain,
    ~ equalish(e_6,e_3),
    inference(cnf_transformation,[],[e_6_is_not_e_3]) ).

cnf('136',plain,
    ( product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_6,e_3,e_4)
    | product(e_6,e_3,e_5) ),
    inference(resolution,[then_simplify],['133','134','135']) ).

cnf('137',plain,
    ( product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_6,e_3,e_4)
    | ~ product(X,e_3,e_6)
    | product(X,e_6,e_5) ),
    inference(resolution,[],['136','12']) ).

cnf('138',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_1,e_6,e_5)
    | product(e_6,e_3,e_4) ),
    inference(resolution,[],['130','137']) ).

cnf('139',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[],['67','106']) ).

cnf('140',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(X,e_1,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['106','5']) ).

cnf('141',plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[],[e_3_is_not_e_2]) ).

cnf('142',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[then_simplify],['139','140','141']) ).

cnf('143',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[then_simplify],['142','87','119']) ).

cnf('144',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[],['143','90']) ).

cnf('145',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[then_simplify],['144','87','119']) ).

cnf('146',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(X,e_3,e_4)
    | equalish(X,e_2) ),
    inference(resolution,[],['145','5']) ).

cnf('147',plain,
    ~ equalish(e_6,e_2),
    inference(cnf_transformation,[],[e_6_is_not_e_2]) ).

cnf('148',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_6,e_3,e_3)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[then_simplify],['138','146','147']) ).

cnf('149',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_6,e_3,e_1)
    | product(e_6,e_3,e_2)
    | product(e_1,e_6,e_5)
    | ~ product(X,e_3,e_6)
    | product(X,e_6,e_3) ),
    inference(resolution,[],['148','12']) ).

cnf('150',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_6,e_3,e_1)
    | product(e_1,e_6,e_3)
    | product(e_6,e_3,e_2)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[],['149','130']) ).

cnf('151',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_6,e_3,e_1)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5)
    | ~ product(X,e_3,e_6)
    | product(X,e_6,e_2) ),
    inference(resolution,[],['150','12']) ).

cnf('152',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_6,e_3,e_1)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[],['151','130']) ).

cnf('153',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | ~ product(X,e_3,e_1)
    | product(X,e_1,e_6) ),
    inference(resolution,[],['130','12']) ).

cnf('154',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5)
    | product(e_6,e_1,e_6) ),
    inference(resolution,[],['152','153']) ).

cnf('155',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5)
    | ~ product(e_6,X,e_6)
    | equalish(X,e_1) ),
    inference(resolution,[],['154','69']) ).

cnf('156',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5)
    | product(e_6,e_6,e_6) ),
    inference(resolution,[],['154','37']) ).

cnf('157',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[then_simplify],['155','156','40']) ).

cnf('158',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[then_simplify],['157','87','43']) ).

cnf('159',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[],['158','90']) ).

cnf('160',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_5) ),
    inference(resolution,[then_simplify],['159','87','43']) ).

cnf('161',plain,
    ( product(X,e_4,e_6)
    | product(X,e_4,e_5)
    | product(X,e_4,e_4)
    | product(X,e_4,e_3)
    | product(X,e_4,e_2)
    | product(X,e_4,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','46']) ).

cnf('162',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[],['161','23']) ).

cnf('163',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | ~ product(e_1,X,e_6)
    | equalish(X,e_4) ),
    inference(resolution,[],['162','69']) ).

cnf('164',plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[],[e_3_is_not_e_4]) ).

cnf('165',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['130','163','164']) ).

cnf('166',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(e_1,X,e_5)
    | equalish(X,e_4) ),
    inference(resolution,[],['165','69']) ).

cnf('167',plain,
    ~ equalish(e_6,e_4),
    inference(cnf_transformation,[],[e_6_is_not_e_4]) ).

cnf('168',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_4,e_4)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['160','166','167']) ).

cnf('169',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['111','69']) ).

cnf('170',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['168','169','147']) ).

cnf('171',plain,
    ( product(e_1,e_1,e_1)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['86','69']) ).

cnf('172',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['170','171','40']) ).

cnf('173',plain,
    group_element(e_5),
    inference(cnf_transformation,[],[element_5]) ).

cnf('174',plain,
    ( product(X,e_5,e_6)
    | product(X,e_5,e_5)
    | product(X,e_5,e_4)
    | product(X,e_5,e_3)
    | product(X,e_5,e_2)
    | product(X,e_5,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','173']) ).

cnf('175',plain,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['174','23']) ).

cnf('176',plain,
    ( product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5)
    | ~ product(e_1,X,e_6)
    | equalish(X,e_5) ),
    inference(resolution,[],['175','69']) ).

cnf('177',plain,
    ~ equalish(e_3,e_5),
    inference(cnf_transformation,[],[e_3_is_not_e_5]) ).

cnf('178',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5) ),
    inference(resolution,[then_simplify],['130','176','177']) ).

cnf('179',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4)
    | ~ product(e_1,X,e_5)
    | equalish(X,e_5) ),
    inference(resolution,[],['178','69']) ).

cnf('180',plain,
    ~ equalish(e_6,e_5),
    inference(cnf_transformation,[],[e_6_is_not_e_5]) ).

cnf('181',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_1,e_5,e_4) ),
    inference(resolution,[then_simplify],['160','179','180']) ).

cnf('182',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4) ),
    inference(resolution,[then_simplify],['181','169','147']) ).

cnf('183',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_4) ),
    inference(resolution,[then_simplify],['182','171','40']) ).

cnf('184',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_5,e_3)
    | ~ product(e_1,X,e_4)
    | equalish(X,e_5) ),
    inference(resolution,[],['183','69']) ).

cnf('185',plain,
    ~ equalish(e_4,e_5),
    inference(cnf_transformation,[],[e_4_is_not_e_5]) ).

cnf('186',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['172','184','185']) ).

cnf('187',plain,
    ~ equalish(e_5,e_2),
    inference(cnf_transformation,[],[e_5_is_not_e_2]) ).

cnf('188',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['186','169','187']) ).

cnf('189',plain,
    ~ equalish(e_5,e_1),
    inference(cnf_transformation,[],[e_5_is_not_e_1]) ).

cnf('190',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['188','171','189']) ).

cnf('191',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[],['190','37']) ).

cnf('192',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_4,e_2) ),
    inference(resolution,[then_simplify],['191','169','114']) ).

cnf('193',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['192','171','88']) ).

cnf('194',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[],['193','37']) ).

cnf('195',plain,
    product(e_1,e_1,e_1),
    inference(resolution,[then_simplify],['194','171','119']) ).

cnf('196',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_3)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[],['142','107']) ).

cnf('197',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['196','69']) ).

cnf('198',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_3,e_3)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[],['196','37']) ).

cnf('199',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[then_simplify],['197','198','141']) ).

cnf('200',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4)
    | ~ product(X,e_1,e_1)
    | equalish(X,e_3) ),
    inference(resolution,[],['199','5']) ).

cnf('201',plain,
    ~ equalish(e_1,e_3),
    inference(cnf_transformation,[],[e_1_is_not_e_3]) ).

cnf('202',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[then_simplify],['195','200','201']) ).

cnf('203',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(e_2,X,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['202','69']) ).

cnf('204',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['44','203','135']) ).

cnf('205',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(e_2,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['106','69']) ).

cnf('206',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['204','205','40']) ).

cnf('207',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_6) ),
    inference(resolution,[],['206','69']) ).

cnf('208',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[],['206','37']) ).

cnf('209',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_5) ),
    inference(resolution,[],['41','12']) ).

cnf('210',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_5)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[],['208','209']) ).

cnf('211',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_5)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['207','210','10']) ).

cnf('212',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_5)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[],['211','209']) ).

cnf('213',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(U,Z) ),
    inference(cnf_transformation,[],[product_total_function2]) ).

cnf('214',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(e_2,e_1,X)
    | equalish(X,e_3) ),
    inference(resolution,[],['106','213']) ).

cnf('215',plain,
    ~ equalish(e_5,e_3),
    inference(cnf_transformation,[],[e_5_is_not_e_3]) ).

cnf('216',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['212','214','215']) ).

cnf('217',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['216','69']) ).

cnf('218',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[],['216','37']) ).

cnf('219',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['217','218','43']) ).

cnf('220',plain,
    ( ~ product(X,e_1,e_1)
    | equalish(X,e_1) ),
    inference(resolution,[],['195','5']) ).

cnf('221',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['219','220','43']) ).

cnf('222',plain,
    ( product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_5,e_6,e_6) ),
    inference(resolution,[],['7','173']) ).

cnf('223',plain,
    ~ equalish(e_5,e_6),
    inference(cnf_transformation,[],[e_5_is_not_e_6]) ).

cnf('224',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_6,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_6,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_6,e_6,e_4)
    | product(e_5,e_6,e_5)
    | product(e_6,e_6,e_5) ),
    inference(resolution,[then_simplify],['6','222','223']) ).

cnf('225',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_6,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_6,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_6,e_6,e_4)
    | product(e_5,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_5) ),
    inference(resolution,[],['224','12']) ).

cnf('226',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_6,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_6,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_6,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(resolution,[],['225','222']) ).

cnf('227',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_6,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_6,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_4) ),
    inference(resolution,[],['226','12']) ).

cnf('228',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_6,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_6,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(resolution,[],['227','222']) ).

cnf('229',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_6,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_3) ),
    inference(resolution,[],['228','12']) ).

cnf('230',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_6,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(resolution,[],['229','222']) ).

cnf('231',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_2) ),
    inference(resolution,[],['230','12']) ).

cnf('232',plain,
    ( product(e_5,e_6,e_1)
    | product(e_6,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(resolution,[],['231','222']) ).

cnf('233',plain,
    ( product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_1) ),
    inference(resolution,[],['232','12']) ).

cnf('234',plain,
    ( product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | product(e_5,e_6,e_5) ),
    inference(resolution,[],['233','222']) ).

cnf('235',plain,
    ( product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4)
    | ~ product(X,e_6,e_5)
    | equalish(X,e_5) ),
    inference(resolution,[],['234','5']) ).

cnf('236',plain,
    ~ equalish(e_2,e_5),
    inference(cnf_transformation,[],[e_2_is_not_e_5]) ).

cnf('237',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4) ),
    inference(resolution,[then_simplify],['22','235','236']) ).

cnf('238',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | ~ product(X,e_6,e_4)
    | equalish(X,e_5) ),
    inference(resolution,[],['237','5']) ).

cnf('239',plain,
    ~ equalish(e_1,e_5),
    inference(cnf_transformation,[],[e_1_is_not_e_5]) ).

cnf('240',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3) ),
    inference(resolution,[then_simplify],['221','238','239']) ).

cnf('241',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_3) ),
    inference(resolution,[],['240','12']) ).

cnf('242',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2) ),
    inference(resolution,[],['241','22']) ).

cnf('243',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_2)
    | product(X,e_2,e_5) ),
    inference(resolution,[],['22','12']) ).

cnf('244',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['242','243']) ).

cnf('245',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_4) ),
    inference(resolution,[],['221','12']) ).

cnf('246',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['244','245']) ).

cnf('247',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['246','69']) ).

cnf('248',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['246','37']) ).

cnf('249',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['247','248','187']) ).

cnf('250',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['249','64','215']) ).

cnf('251',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['250','69']) ).

cnf('252',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['250','37']) ).

cnf('253',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['251','252','119']) ).

cnf('254',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | product(e_3,e_6,e_6) ),
    inference(resolution,[],['7','54']) ).

cnf('255',plain,
    ~ equalish(e_3,e_6),
    inference(cnf_transformation,[],[e_3_is_not_e_6]) ).

cnf('256',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_6,e_6,e_2)
    | product(e_3,e_6,e_5)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5) ),
    inference(resolution,[then_simplify],['6','254','255']) ).

cnf('257',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_6,e_6,e_2)
    | product(e_3,e_6,e_5)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_5) ),
    inference(resolution,[],['256','12']) ).

cnf('258',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_6,e_6,e_2)
    | product(e_3,e_6,e_5)
    | product(e_6,e_6,e_3)
    | product(e_6,e_6,e_4) ),
    inference(resolution,[],['257','254']) ).

cnf('259',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_6,e_6,e_2)
    | product(e_3,e_6,e_5)
    | product(e_6,e_6,e_3)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_4) ),
    inference(resolution,[],['258','12']) ).

cnf('260',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_6,e_6,e_2)
    | product(e_3,e_6,e_5)
    | product(e_6,e_6,e_3) ),
    inference(resolution,[],['259','254']) ).

cnf('261',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_6,e_6,e_2)
    | product(e_3,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_3) ),
    inference(resolution,[],['260','12']) ).

cnf('262',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_6,e_6,e_2)
    | product(e_3,e_6,e_5) ),
    inference(resolution,[],['261','254']) ).

cnf('263',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_2) ),
    inference(resolution,[],['262','12']) ).

cnf('264',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_6,e_6,e_1)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(resolution,[],['263','254']) ).

cnf('265',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_1) ),
    inference(resolution,[],['264','12']) ).

cnf('266',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | product(e_3,e_6,e_5) ),
    inference(resolution,[],['265','254']) ).

cnf('267',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | ~ product(X,e_6,e_5)
    | equalish(X,e_3) ),
    inference(resolution,[],['266','5']) ).

cnf('268',plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[],[e_2_is_not_e_3]) ).

cnf('269',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[then_simplify],['22','267','268']) ).

cnf('270',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['269','5']) ).

cnf('271',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['221','270','201']) ).

cnf('272',plain,
    ( product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['271','37']) ).

cnf('273',plain,
    ( product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['272','243']) ).

cnf('274',plain,
    ( product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_1)
    | equalish(X,e_3) ),
    inference(resolution,[],['273','5']) ).

cnf('275',plain,
    ( product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['244','274','215']) ).

cnf('276',plain,
    ( product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['275','69']) ).

cnf('277',plain,
    ( product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['275','37']) ).

cnf('278',plain,
    ( product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['276','277','187']) ).

cnf('279',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_6) ),
    inference(resolution,[],['271','69']) ).

cnf('280',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['278','279','255']) ).

cnf('281',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['280','243']) ).

cnf('282',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_1)
    | equalish(X,e_5) ),
    inference(resolution,[],['244','5']) ).

cnf('283',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['281','282','177']) ).

cnf('284',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['283','69']) ).

cnf('285',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['283','37']) ).

cnf('286',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['284','285','187']) ).

cnf('287',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_2,e_5)
    | equalish(X,e_3) ),
    inference(resolution,[],['286','5']) ).

cnf('288',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | product(e_4,e_6,e_6) ),
    inference(resolution,[],['7','46']) ).

cnf('289',plain,
    ~ equalish(e_4,e_6),
    inference(cnf_transformation,[],[e_4_is_not_e_6]) ).

cnf('290',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_6,e_6,e_2)
    | product(e_4,e_6,e_4)
    | product(e_6,e_6,e_3)
    | product(e_4,e_6,e_5)
    | product(e_6,e_6,e_4)
    | product(e_6,e_6,e_5) ),
    inference(resolution,[then_simplify],['6','288','289']) ).

cnf('291',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_6,e_6,e_2)
    | product(e_4,e_6,e_4)
    | product(e_6,e_6,e_3)
    | product(e_4,e_6,e_5)
    | product(e_6,e_6,e_4)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_5) ),
    inference(resolution,[],['290','12']) ).

cnf('292',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_6,e_6,e_2)
    | product(e_4,e_6,e_4)
    | product(e_6,e_6,e_3)
    | product(e_4,e_6,e_5)
    | product(e_6,e_6,e_4) ),
    inference(resolution,[],['291','288']) ).

cnf('293',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_6,e_6,e_2)
    | product(e_4,e_6,e_4)
    | product(e_6,e_6,e_3)
    | product(e_4,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_4) ),
    inference(resolution,[],['292','12']) ).

cnf('294',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_6,e_6,e_2)
    | product(e_4,e_6,e_4)
    | product(e_6,e_6,e_3)
    | product(e_4,e_6,e_5) ),
    inference(resolution,[],['293','288']) ).

cnf('295',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_6,e_6,e_2)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_3) ),
    inference(resolution,[],['294','12']) ).

cnf('296',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_6,e_6,e_2)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(resolution,[],['295','288']) ).

cnf('297',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_2) ),
    inference(resolution,[],['296','12']) ).

cnf('298',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_6,e_6,e_1)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(resolution,[],['297','288']) ).

cnf('299',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5)
    | ~ product(X,e_6,e_6)
    | product(X,e_6,e_1) ),
    inference(resolution,[],['298','12']) ).

cnf('300',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | product(e_4,e_6,e_5) ),
    inference(resolution,[],['299','288']) ).

cnf('301',plain,
    ( product(e_4,e_6,e_1)
    | product(e_4,e_6,e_2)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4)
    | ~ product(X,e_6,e_5)
    | equalish(X,e_4) ),
    inference(resolution,[],['300','5']) ).

cnf('302',plain,
    ~ equalish(e_2,e_4),
    inference(cnf_transformation,[],[e_2_is_not_e_4]) ).

cnf('303',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_4,e_6,e_1)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4)
    | product(e_4,e_6,e_3)
    | product(e_4,e_6,e_4) ),
    inference(resolution,[then_simplify],['22','301','302']) ).

cnf('304',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_4,e_6,e_1)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4)
    | product(e_4,e_6,e_3)
    | ~ product(X,e_6,e_4)
    | equalish(X,e_4) ),
    inference(resolution,[],['303','5']) ).

cnf('305',plain,
    ~ equalish(e_1,e_4),
    inference(cnf_transformation,[],[e_1_is_not_e_4]) ).

cnf('306',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4)
    | product(e_4,e_6,e_3) ),
    inference(resolution,[then_simplify],['221','304','305']) ).

cnf('307',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_3)
    | equalish(X,e_4) ),
    inference(resolution,[],['306','5']) ).

cnf('308',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['307','271','164']) ).

cnf('309',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['308','243']) ).

cnf('310',plain,
    ( product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['309','245']) ).

cnf('311',plain,
    ( product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['287','310','65']) ).

cnf('312',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_1,e_4)
    | equalish(X,e_5) ),
    inference(resolution,[],['249','5']) ).

cnf('313',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['311','312','185']) ).

cnf('314',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_3,X,e_2)
    | equalish(X,e_6) ),
    inference(resolution,[],['313','69']) ).

cnf('315',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['253','314','25']) ).

cnf('316',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_2) ),
    inference(resolution,[],['242','12']) ).

cnf('317',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['316','22']) ).

cnf('318',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_1)
    | equalish(X,e_5) ),
    inference(resolution,[],['317','5']) ).

cnf('319',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['315','318','177']) ).

cnf('320',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['319','220','119']) ).

cnf('321',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | ~ product(X,e_6,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['221','5']) ).

cnf('322',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3) ),
    inference(resolution,[then_simplify],['320','321','43']) ).

cnf('323',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['322','205','40']) ).

cnf('324',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['323','37']) ).

cnf('325',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['324','245']) ).

cnf('326',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['325','205','189']) ).

cnf('327',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['326','37']) ).

cnf('328',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_2) ),
    inference(resolution,[],['327','69']) ).

cnf('329',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['328','323','147']) ).

cnf('330',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['329','245']) ).

cnf('331',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_5,e_2)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['330','205','189']) ).

cnf('332',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['331','328','187']) ).

cnf('333',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['332','203','201']) ).

cnf('334',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['333','69']) ).

cnf('335',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['333','37']) ).

cnf('336',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['334','335','43']) ).

cnf('337',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['336','220','43']) ).

cnf('338',plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['273','245']) ).

cnf('339',plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['279','338','255']) ).

cnf('340',plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['339','243']) ).

cnf('341',plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['340','245']) ).

cnf('342',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_4)
    | product(X,e_4,e_3) ),
    inference(resolution,[],['306','12']) ).

cnf('343',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['342','221']) ).

cnf('344',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,e_1)
    | product(e_4,e_2,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['343','243']) ).

cnf('345',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_2,e_5)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['344','245']) ).

cnf('346',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_2,e_5)
    | equalish(X,e_4) ),
    inference(resolution,[],['345','5']) ).

cnf('347',plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['341','346','164']) ).

cnf('348',plain,
    ( product(e_3,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['347','312','185']) ).

cnf('349',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['348','312','177']) ).

cnf('350',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3)
    | product(e_2,e_6,e_3) ),
    inference(resolution,[then_simplify],['349','321','43']) ).

cnf('351',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['350','205','40']) ).

cnf('352',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['351','37']) ).

cnf('353',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['352','245']) ).

cnf('354',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['353','205','189']) ).

cnf('355',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_2) ),
    inference(resolution,[],['354','69']) ).

cnf('356',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['355','351','147']) ).

cnf('357',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['356','245']) ).

cnf('358',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['357','205','189']) ).

cnf('359',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['358','203','201']) ).

cnf('360',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['359','69']) ).

cnf('361',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['359','37']) ).

cnf('362',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['360','361','43']) ).

cnf('363',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['362','220','43']) ).

cnf('364',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_5,e_6,e_2)
    | product(e_3,e_6,e_4)
    | product(e_5,e_6,e_3)
    | product(e_5,e_6,e_4) ),
    inference(resolution,[then_simplify],['266','235','177']) ).

cnf('365',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_5,e_6,e_2)
    | product(e_3,e_6,e_4)
    | product(e_5,e_6,e_3)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_4) ),
    inference(resolution,[],['364','12']) ).

cnf('366',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_5,e_6,e_2)
    | product(e_3,e_6,e_4)
    | product(e_5,e_6,e_3) ),
    inference(resolution,[],['365','266']) ).

cnf('367',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4)
    | ~ product(X,e_6,e_3)
    | product(X,e_3,e_5) ),
    inference(resolution,[],['266','12']) ).

cnf('368',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_5,e_6,e_2)
    | product(e_5,e_3,e_5)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[],['366','367']) ).

cnf('369',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_5,e_3,e_5)
    | product(e_3,e_6,e_4)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_2) ),
    inference(resolution,[],['368','12']) ).

cnf('370',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_5,e_3,e_5)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[],['369','266']) ).

cnf('371',plain,
    ( product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_5,e_3,e_5)
    | product(e_3,e_6,e_4)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_1) ),
    inference(resolution,[],['370','12']) ).

cnf('372',plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_5,e_3,e_5)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[],['371','266']) ).

cnf('373',plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_6,e_4)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_3) ),
    inference(resolution,[],['372','69']) ).

cnf('374',plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_6,e_4)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['372','37']) ).

cnf('375',plain,
    ( product(e_3,e_5,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[then_simplify],['373','374','215']) ).

cnf('376',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_5,e_4) ),
    inference(resolution,[then_simplify],['375','116','40']) ).

cnf('377',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_5,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_5,e_4)
    | ~ product(X,e_6,e_3)
    | equalish(X,e_3) ),
    inference(resolution,[],['376','5']) ).

cnf('378',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_6,e_2)
    | product(e_3,e_5,e_4) ),
    inference(resolution,[then_simplify],['363','377','201']) ).

cnf('379',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | ~ product(X,e_1,e_4)
    | product(X,e_4,e_2) ),
    inference(resolution,[],['72','12']) ).

cnf('380',plain,
    ( product(e_3,e_1,e_1)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[],['379','62']) ).

cnf('381',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_5)
    | ~ product(X,e_1,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['380','5']) ).

cnf('382',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[then_simplify],['195','381','305']) ).

cnf('383',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | ~ product(e_3,X,e_5)
    | equalish(X,e_4) ),
    inference(resolution,[],['382','69']) ).

cnf('384',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[then_simplify],['266','383','167']) ).

cnf('385',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3) ),
    inference(resolution,[then_simplify],['384','116','40']) ).

cnf('386',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | ~ product(X,e_6,e_3)
    | equalish(X,e_3) ),
    inference(resolution,[],['385','5']) ).

cnf('387',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2) ),
    inference(resolution,[then_simplify],['363','386','201']) ).

cnf('388',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | ~ product(X,e_6,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['387','12']) ).

cnf('389',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1) ),
    inference(resolution,[],['388','363']) ).

cnf('390',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_3) ),
    inference(resolution,[],['363','12']) ).

cnf('391',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_4,e_2)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[],['389','390']) ).

cnf('392',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | ~ product(e_3,X,e_2)
    | equalish(X,e_4) ),
    inference(resolution,[],['391','69']) ).

cnf('393',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_4) ),
    inference(resolution,[then_simplify],['378','392','167']) ).

cnf('394',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_5,e_2)
    | product(e_3,e_5,e_4) ),
    inference(resolution,[],['393','390']) ).

cnf('395',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_5,e_2) ),
    inference(resolution,[then_simplify],['394','116','189']) ).

cnf('396',plain,
    ~ equalish(e_5,e_4),
    inference(cnf_transformation,[],[e_5_is_not_e_4]) ).

cnf('397',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_5,e_1)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['395','392','396']) ).

cnf('398',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[],['363','367']) ).

cnf('399',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3) ),
    inference(resolution,[then_simplify],['398','116','40']) ).

cnf('400',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | ~ product(X,e_6,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['363','5']) ).

cnf('401',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2) ),
    inference(resolution,[then_simplify],['399','400','119']) ).

cnf('402',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1) ),
    inference(resolution,[then_simplify],['401','392','167']) ).

cnf('403',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['402','390']) ).

cnf('404',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['403','69']) ).

cnf('405',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_3,e_3,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['403','37']) ).

cnf('406',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['404','405','119']) ).

cnf('407',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_1,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['406','12']) ).

cnf('408',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['407','106']) ).

cnf('409',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['408','220','119']) ).

cnf('410',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(e_2,e_3,X)
    | equalish(X,e_4) ),
    inference(resolution,[],['202','213']) ).

cnf('411',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['409','410','302']) ).

cnf('412',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['406','5']) ).

cnf('413',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['411','412','268']) ).

cnf('414',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['413','220','119']) ).

cnf('415',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['414','220','43']) ).

cnf('416',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_3,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['415','243']) ).

cnf('417',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_3,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3) ),
    inference(resolution,[then_simplify],['416','203','135']) ).

cnf('418',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_3,e_5)
    | product(e_2,e_6,e_2) ),
    inference(resolution,[then_simplify],['417','205','40']) ).

cnf('419',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_6,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['415','5']) ).

cnf('420',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['418','419','43']) ).

cnf('421',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_2) ),
    inference(resolution,[],['415','12']) ).

cnf('422',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['420','421']) ).

cnf('423',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['422','69']) ).

cnf('424',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['422','37']) ).

cnf('425',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['423','424','43']) ).

cnf('426',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['425','220','43']) ).

cnf('427',plain,
    ( ~ product(e_1,X,e_1)
    | equalish(X,e_1) ),
    inference(resolution,[],['195','69']) ).

cnf('428',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['426','427','40']) ).

cnf('429',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_2)
    | ~ product(X,e_4,e_3)
    | product(X,e_3,e_5) ),
    inference(resolution,[],['382','12']) ).

cnf('430',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_2,e_5)
    | product(e_3,e_4,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['428','429']) ).

cnf('431',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_4,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['430','12']) ).

cnf('432',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['431','428']) ).

cnf('433',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['432','69']) ).

cnf('434',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['432','37']) ).

cnf('435',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['433','434','119']) ).

cnf('436',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_1,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['435','12']) ).

cnf('437',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['436','106']) ).

cnf('438',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['437','220','119']) ).

cnf('439',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['438','410','302']) ).

cnf('440',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['435','5']) ).

cnf('441',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['439','440','268']) ).

cnf('442',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['441','220','119']) ).

cnf('443',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['442','220','43']) ).

cnf('444',plain,
    ( product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_5,e_3,e_3)
    | product(e_5,e_3,e_4)
    | product(e_5,e_3,e_5)
    | product(e_5,e_3,e_6) ),
    inference(resolution,[],['131','173']) ).

cnf('445',plain,
    ( product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_5,e_3,e_3)
    | product(e_5,e_3,e_4)
    | product(e_5,e_3,e_5)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_6) ),
    inference(resolution,[],['444','12']) ).

cnf('446',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_5,e_3,e_3)
    | product(e_5,e_3,e_4)
    | product(e_1,e_5,e_6)
    | product(e_5,e_3,e_5) ),
    inference(resolution,[],['443','445']) ).

cnf('447',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | ~ product(X,e_3,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['443','5']) ).

cnf('448',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_5,e_3,e_3)
    | product(e_5,e_3,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['446','447','189']) ).

cnf('449',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(X,e_3,e_4)
    | equalish(X,e_2) ),
    inference(resolution,[],['202','5']) ).

cnf('450',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_5,e_3,e_3)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['448','449','187']) ).

cnf('451',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_3) ),
    inference(resolution,[],['450','12']) ).

cnf('452',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['451','443']) ).

cnf('453',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_2) ),
    inference(resolution,[],['452','12']) ).

cnf('454',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['453','443']) ).

cnf('455',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | ~ product(X,e_3,e_1)
    | product(X,e_1,e_5) ),
    inference(resolution,[],['443','12']) ).

cnf('456',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_5,e_1,e_5)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['454','455']) ).

cnf('457',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['456','69']) ).

cnf('458',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['456','37']) ).

cnf('459',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['457','458','189']) ).

cnf('460',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['459','69']) ).

cnf('461',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['459','37']) ).

cnf('462',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['460','461','43']) ).

cnf('463',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['462','220','43']) ).

cnf('464',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | ~ product(X,e_5,e_1)
    | product(X,e_1,e_6) ),
    inference(resolution,[],['463','12']) ).

cnf('465',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3)
    | product(e_3,e_1,e_6) ),
    inference(resolution,[],['397','464']) ).

cnf('466',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | ~ product(e_3,e_1,X)
    | equalish(X,e_4) ),
    inference(resolution,[],['62','213']) ).

cnf('467',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['465','466','167']) ).

cnf('468',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['467','69']) ).

cnf('469',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[],['467','37']) ).

cnf('470',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['468','469','119']) ).

cnf('471',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3)
    | ~ product(X,e_1,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['470','12']) ).

cnf('472',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[],['471','106']) ).

cnf('473',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['472','220','119']) ).

cnf('474',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['473','410','302']) ).

cnf('475',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['470','5']) ).

cnf('476',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['474','475','268']) ).

cnf('477',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['476','220','119']) ).

cnf('478',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['477','220','43']) ).

cnf('479',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_5,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['478','243']) ).

cnf('480',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_5,e_3)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3) ),
    inference(resolution,[then_simplify],['479','203','135']) ).

cnf('481',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_5,e_3)
    | product(e_2,e_6,e_2) ),
    inference(resolution,[then_simplify],['480','205','40']) ).

cnf('482',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | ~ product(X,e_6,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['478','5']) ).

cnf('483',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['481','482','43']) ).

cnf('484',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_2) ),
    inference(resolution,[],['478','12']) ).

cnf('485',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[],['483','484']) ).

cnf('486',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['485','69']) ).

cnf('487',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[],['485','37']) ).

cnf('488',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['486','487','43']) ).

cnf('489',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['488','220','43']) ).

cnf('490',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_3) ),
    inference(resolution,[then_simplify],['489','427','40']) ).

cnf('491',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | ~ product(e_1,e_5,X)
    | equalish(X,e_3) ),
    inference(resolution,[],['490','213']) ).

cnf('492',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | product(e_3,e_3,e_6) ),
    inference(resolution,[],['2','54']) ).

cnf('493',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | ~ product(X,e_3,e_6)
    | equalish(X,e_3) ),
    inference(resolution,[],['492','5']) ).

cnf('494',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_5,e_3,e_3)
    | product(e_3,e_3,e_5)
    | product(e_5,e_3,e_4)
    | product(e_5,e_3,e_5) ),
    inference(resolution,[then_simplify],['493','444','215']) ).

cnf('495',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_5,e_3,e_3)
    | product(e_3,e_3,e_5)
    | product(e_5,e_3,e_4)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_3) ),
    inference(resolution,[],['494','69']) ).

cnf('496',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_5,e_3,e_3)
    | product(e_3,e_3,e_5)
    | product(e_5,e_3,e_4)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['494','37']) ).

cnf('497',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_5,e_3,e_3)
    | product(e_3,e_3,e_5)
    | product(e_5,e_3,e_4) ),
    inference(resolution,[then_simplify],['495','496','215']) ).

cnf('498',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_5,e_3,e_3)
    | product(e_3,e_3,e_5)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_4) ),
    inference(resolution,[],['497','12']) ).

cnf('499',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_5,e_3,e_3)
    | product(e_3,e_3,e_5) ),
    inference(resolution,[],['443','498']) ).

cnf('500',plain,
    ( product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_3,e_3,e_5)
    | ~ product(X,e_3,e_3)
    | product(X,e_3,e_6) ),
    inference(resolution,[],['492','12']) ).

cnf('501',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_3,e_3,e_5)
    | product(e_5,e_3,e_6) ),
    inference(resolution,[],['499','500']) ).

cnf('502',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_3,e_3,e_5) ),
    inference(resolution,[then_simplify],['501','493','215']) ).

cnf('503',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_3,e_3,e_5)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_2) ),
    inference(resolution,[],['502','12']) ).

cnf('504',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_3,e_3,e_5) ),
    inference(resolution,[],['503','443']) ).

cnf('505',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_5,e_1,e_5)
    | product(e_3,e_3,e_5) ),
    inference(resolution,[],['504','455']) ).

cnf('506',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_3,e_3,e_5)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['505','69']) ).

cnf('507',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_3,e_3,e_5)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['505','37']) ).

cnf('508',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4)
    | product(e_3,e_3,e_5) ),
    inference(resolution,[then_simplify],['506','507','189']) ).

cnf('509',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_3,e_3,e_4)
    | product(e_1,e_5,e_4) ),
    inference(resolution,[then_simplify],['508','447','119']) ).

cnf('510',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | ~ product(X,e_3,e_3)
    | product(X,e_3,e_4) ),
    inference(resolution,[],['509','12']) ).

cnf('511',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_5,e_3,e_3)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_4) ),
    inference(resolution,[],['448','12']) ).

cnf('512',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_4)
    | product(e_5,e_3,e_3)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['511','443']) ).

cnf('513',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_4)
    | product(e_5,e_3,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['510','512']) ).

cnf('514',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | ~ product(X,e_3,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['509','5']) ).

cnf('515',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['513','514','215']) ).

cnf('516',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_2) ),
    inference(resolution,[],['515','12']) ).

cnf('517',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['516','443']) ).

cnf('518',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | product(e_5,e_1,e_5)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['517','455']) ).

cnf('519',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['518','69']) ).

cnf('520',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['518','37']) ).

cnf('521',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['519','520','189']) ).

cnf('522',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_3)
    | equalish(X,e_5) ),
    inference(resolution,[],['512','5']) ).

cnf('523',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['521','522','177']) ).

cnf('524',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_5)
    | product(X,e_5,e_2) ),
    inference(resolution,[],['523','12']) ).

cnf('525',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['524','443']) ).

cnf('526',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_5,e_1,e_5)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['525','455']) ).

cnf('527',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['526','69']) ).

cnf('528',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['526','37']) ).

cnf('529',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_3,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['527','528','189']) ).

cnf('530',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['529','12']) ).

cnf('531',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_5,e_3,e_2)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['530','512']) ).

cnf('532',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(X,e_3,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['529','5']) ).

cnf('533',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_5,e_3,e_1)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['531','532','215']) ).

cnf('534',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_5,e_1,e_5)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['533','455']) ).

cnf('535',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['534','69']) ).

cnf('536',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['534','37']) ).

cnf('537',plain,
    ( product(e_1,e_3,e_2)
    | product(e_3,e_3,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['535','536','189']) ).

cnf('538',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_3,e_1,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[],['537','455']) ).

cnf('539',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6)
    | ~ greater(e_5,X)
    | ~ next(e_3,X) ),
    inference(resolution,[],['538','48']) ).

cnf('540',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_6) ),
    inference(resolution,[then_simplify],['539','61','58']) ).

cnf('541',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4)
    | ~ product(e_1,e_5,X)
    | equalish(X,e_6) ),
    inference(resolution,[],['540','213']) ).

cnf('542',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_5,e_4) ),
    inference(resolution,[then_simplify],['490','541','255']) ).

cnf('543',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['491','542','65']) ).

cnf('544',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | ~ product(X,e_5,e_1)
    | product(X,e_1,e_2) ),
    inference(resolution,[],['543','12']) ).

cnf('545',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[],['544','397']) ).

cnf('546',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['545','69']) ).

cnf('547',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_3,e_3,e_3)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[],['545','37']) ).

cnf('548',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['546','547','119']) ).

cnf('549',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | ~ product(X,e_1,e_3)
    | product(X,e_3,e_2) ),
    inference(resolution,[],['548','12']) ).

cnf('550',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[],['549','106']) ).

cnf('551',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['550','220','119']) ).

cnf('552',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['551','410','302']) ).

cnf('553',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['548','5']) ).

cnf('554',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['552','553','268']) ).

cnf('555',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['554','220','119']) ).

cnf('556',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['555','220','43']) ).

cnf('557',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_5) ),
    inference(resolution,[],['543','69']) ).

cnf('558',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['556','557','180']) ).

cnf('559',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['558','427','40']) ).

cnf('560',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_4) ),
    inference(resolution,[],['559','69']) ).

cnf('561',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['337','560','167']) ).

cnf('562',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['561','243']) ).

cnf('563',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3) ),
    inference(resolution,[then_simplify],['562','203','135']) ).

cnf('564',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2) ),
    inference(resolution,[then_simplify],['563','205','40']) ).

cnf('565',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | ~ product(X,e_6,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['561','5']) ).

cnf('566',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | product(e_2,e_6,e_1) ),
    inference(resolution,[then_simplify],['564','565','43']) ).

cnf('567',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_2) ),
    inference(resolution,[],['561','12']) ).

cnf('568',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[],['566','567']) ).

cnf('569',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['568','69']) ).

cnf('570',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[],['568','37']) ).

cnf('571',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['569','570','43']) ).

cnf('572',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['571','220','43']) ).

cnf('573',plain,
    ( product(e_1,e_3,e_2)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['572','427','40']) ).

cnf('574',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | ~ product(X,e_3,e_2)
    | product(X,e_2,e_4) ),
    inference(resolution,[],['202','12']) ).

cnf('575',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[],['573','574']) ).

cnf('576',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_2,e_5)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['575','69']) ).

cnf('577',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[],['575','37']) ).

cnf('578',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['576','577','43']) ).

cnf('579',plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['578','220','43']) ).

cnf('580',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3) ),
    inference(resolution,[then_simplify],['270','237','215']) ).

cnf('581',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_3) ),
    inference(resolution,[],['580','12']) ).

cnf('582',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2) ),
    inference(resolution,[],['581','22']) ).

cnf('583',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_5,e_2,e_5)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['582','243']) ).

cnf('584',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_4,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_4,e_6,e_3) ),
    inference(resolution,[then_simplify],['270','303','65']) ).

cnf('585',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_3)
    | product(X,e_3,e_4) ),
    inference(resolution,[],['269','12']) ).

cnf('586',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_4,e_6,e_1)
    | product(e_4,e_3,e_4)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_4,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['584','585']) ).

cnf('587',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_4,e_6,e_1)
    | product(e_4,e_3,e_4)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['586','243']) ).

cnf('588',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_4,e_3,e_4)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['587','5']) ).

cnf('589',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_2,e_5)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['583','588','396']) ).

cnf('590',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['589','69']) ).

cnf('591',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['589','37']) ).

cnf('592',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['590','591','187']) ).

cnf('593',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_4,X,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['592','69']) ).

cnf('594',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_4,e_4,e_4)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['592','37']) ).

cnf('595',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_4,e_2,e_5)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['593','594','65']) ).

cnf('596',plain,
    ( product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_2,e_5)
    | equalish(X,e_4) ),
    inference(resolution,[],['595','5']) ).

cnf('597',plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_3,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['579','596','305']) ).

cnf('598',plain,
    ( product(e_1,e_2,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['597','37']) ).

cnf('599',plain,
    ( product(e_1,e_2,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['598','243']) ).

cnf('600',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_4) ),
    inference(resolution,[],['237','12']) ).

cnf('601',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3) ),
    inference(resolution,[],['600','22']) ).

cnf('602',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | ~ product(X,e_6,e_5)
    | product(X,e_5,e_3) ),
    inference(resolution,[],['601','12']) ).

cnf('603',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2) ),
    inference(resolution,[],['602','22']) ).

cnf('604',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_6,e_1)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['603','243']) ).

cnf('605',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_1)
    | equalish(X,e_5) ),
    inference(resolution,[],['604','5']) ).

cnf('606',plain,
    ( product(e_1,e_2,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['599','605','177']) ).

cnf('607',plain,
    ( product(e_1,e_2,e_4)
    | ~ product(X,e_2,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['579','5']) ).

cnf('608',plain,
    ( product(e_1,e_2,e_4)
    | product(e_3,e_3,e_3)
    | product(e_2,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['606','607','189']) ).

cnf('609',plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_6) ),
    inference(resolution,[],['597','69']) ).

cnf('610',plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_3,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['608','609','255']) ).

cnf('611',plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_3,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['610','243']) ).

cnf('612',plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['611','605','177']) ).

cnf('613',plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_3,e_2,e_5)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['612','607','189']) ).

cnf('614',plain,
    ( product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['613','607','119']) ).

cnf('615',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['614','203','135']) ).

cnf('616',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['615','205','40']) ).

cnf('617',plain,
    ( product(e_2,e_6,e_1)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | ~ product(X,e_6,e_3)
    | equalish(X,e_5) ),
    inference(resolution,[],['601','5']) ).

cnf('618',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2) ),
    inference(resolution,[then_simplify],['337','617','239']) ).

cnf('619',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_6,e_1)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['618','243']) ).

cnf('620',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_3) ),
    inference(resolution,[],['337','12']) ).

cnf('621',plain,
    ( product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_5,e_2,e_5)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['619','620']) ).

cnf('622',plain,
    ( product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4)
    | ~ product(e_5,X,e_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['621','69']) ).

cnf('623',plain,
    ( product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4)
    | product(e_5,e_5,e_5) ),
    inference(resolution,[],['621','37']) ).

cnf('624',plain,
    ( product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['622','623','187']) ).

cnf('625',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['624','140','187']) ).

cnf('626',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_6,e_3)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['625','203','135']) ).

cnf('627',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | ~ product(X,e_6,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['337','5']) ).

cnf('628',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_2,e_6,e_2)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['626','627','43']) ).

cnf('629',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[],['337','367']) ).

cnf('630',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3)
    | ~ product(X,e_6,e_3)
    | product(X,e_3,e_4) ),
    inference(resolution,[],['629','12']) ).

cnf('631',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2)
    | product(e_3,e_6,e_3) ),
    inference(resolution,[],['630','337']) ).

cnf('632',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_3,e_6,e_2) ),
    inference(resolution,[then_simplify],['631','627','119']) ).

cnf('633',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | ~ product(X,e_6,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['632','5']) ).

cnf('634',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['628','633','268']) ).

cnf('635',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[],['634','620']) ).

cnf('636',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['635','140','141']) ).

cnf('637',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4)
    | ~ product(X,e_6,e_2)
    | product(X,e_2,e_1) ),
    inference(resolution,[],['636','12']) ).

cnf('638',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_3,e_6,e_1)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[],['637','632']) ).

cnf('639',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4)
    | ~ product(X,e_6,e_1)
    | equalish(X,e_2) ),
    inference(resolution,[],['636','5']) ).

cnf('640',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_2,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['638','639','141']) ).

cnf('641',plain,
    ( product(e_1,e_2,e_4)
    | ~ product(X,e_2,e_1)
    | product(X,e_1,e_5) ),
    inference(resolution,[],['579','12']) ).

cnf('642',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_3,e_1,e_5)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[],['640','641']) ).

cnf('643',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4)
    | ~ greater(e_5,X)
    | ~ next(e_3,X) ),
    inference(resolution,[],['642','48']) ).

cnf('644',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['643','61','58']) ).

cnf('645',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['644','203','215']) ).

cnf('646',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['645','69']) ).

cnf('647',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['645','37']) ).

cnf('648',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['646','647','43']) ).

cnf('649',plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['648','220','43']) ).

cnf('650',plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_6,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['649','5']) ).

cnf('651',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_2,e_6,e_1)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[then_simplify],['616','650','43']) ).

cnf('652',plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_6,e_1)
    | product(X,e_1,e_2) ),
    inference(resolution,[],['649','12']) ).

cnf('653',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_3)
    | product(e_2,e_5,e_4) ),
    inference(resolution,[],['651','652']) ).

cnf('654',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_2,e_5,e_3) ),
    inference(resolution,[then_simplify],['653','203','215']) ).

cnf('655',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['654','205','189']) ).

cnf('656',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['655','69']) ).

cnf('657',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['655','37']) ).

cnf('658',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['656','657','43']) ).

cnf('659',plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['658','220','43']) ).

cnf('660',plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['659','427','40']) ).

cnf('661',plain,
    ( product(e_1,e_2,e_4)
    | ~ product(e_1,X,e_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['579','69']) ).

cnf('662',plain,
    ( product(e_1,e_2,e_4)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['660','661','141']) ).

cnf('663',plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[],[e_1_is_not_e_2]) ).

cnf('664',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_4) ),
    inference(resolution,[then_simplify],['662','449','663']) ).

cnf('665',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['664','69']) ).

cnf('666',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_2,e_4) ),
    inference(resolution,[],['664','37']) ).

cnf('667',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_4) ),
    inference(resolution,[then_simplify],['665','666','43']) ).

cnf('668',plain,
    product(e_1,e_2,e_4),
    inference(resolution,[then_simplify],['667','220','43']) ).

cnf('669',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_2,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[],['72','107']) ).

cnf('670',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_3,e_4,e_5)
    | ~ product(X,e_2,e_4)
    | product(X,e_4,e_3) ),
    inference(resolution,[],['669','12']) ).

cnf('671',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[],['668','670']) ).

cnf('672',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_3,e_4,e_5) ),
    inference(resolution,[then_simplify],['671','220','88']) ).

cnf('673',plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | product(e_4,e_3,e_6) ),
    inference(resolution,[],['131','46']) ).

cnf('674',plain,
    ( product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | ~ product(X,e_3,e_4)
    | product(X,e_4,e_6) ),
    inference(resolution,[],['673','12']) ).

cnf('675',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_3,e_2)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['202','674']) ).

cnf('676',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | ~ product(e_4,X,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['52','69']) ).

cnf('677',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_4)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[then_simplify],['675','676','119']) ).

cnf('678',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_4)
    | product(e_4,e_3,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[then_simplify],['677','449','114']) ).

cnf('679',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_6)
    | ~ product(X,e_3,e_4)
    | product(X,e_4,e_3) ),
    inference(resolution,[],['678','12']) ).

cnf('680',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['679','202']) ).

cnf('681',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['680','574']) ).

cnf('682',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_2,e_4,e_6)
    | ~ product(X,e_3,e_4)
    | product(X,e_4,e_1) ),
    inference(resolution,[],['681','12']) ).

cnf('683',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_4,e_2,e_4)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['682','202']) ).

cnf('684',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6)
    | ~ product(e_4,X,e_4)
    | equalish(X,e_2) ),
    inference(resolution,[],['683','69']) ).

cnf('685',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['683','37']) ).

cnf('686',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[then_simplify],['684','685','114']) ).

cnf('687',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6)
    | ~ product(e_4,X,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['686','69']) ).

cnf('688',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_4)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['686','37']) ).

cnf('689',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_4,e_1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[then_simplify],['687','688','88']) ).

cnf('690',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[then_simplify],['689','140','114']) ).

cnf('691',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['690','107']) ).

cnf('692',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6)
    | ~ product(X,e_2,e_4)
    | product(X,e_4,e_3) ),
    inference(resolution,[],['691','12']) ).

cnf('693',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[],['668','692']) ).

cnf('694',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_6) ),
    inference(resolution,[then_simplify],['693','220','88']) ).

cnf('695',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_5)
    | product(e_4,e_2,e_6) ),
    inference(resolution,[],['93','46']) ).

cnf('696',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_5)
    | ~ product(X,e_2,e_4)
    | product(X,e_4,e_6) ),
    inference(resolution,[],['695','12']) ).

cnf('697',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_4,e_2,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[],['668','696']) ).

cnf('698',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_4,e_6)
    | ~ product(X,e_2,e_4)
    | product(X,e_4,e_5) ),
    inference(resolution,[],['697','12']) ).

cnf('699',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[],['698','668']) ).

cnf('700',plain,
    ( ~ product(X,e_2,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['668','5']) ).

cnf('701',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['699','700','88']) ).

cnf('702',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6)
    | ~ product(X,e_2,e_4)
    | product(X,e_4,e_3) ),
    inference(resolution,[],['701','12']) ).

cnf('703',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[],['702','668']) ).

cnf('704',plain,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6)
    | ~ product(X,e_2,e_4)
    | product(X,e_4,e_2) ),
    inference(resolution,[],['703','12']) ).

cnf('705',plain,
    ( product(e_4,e_2,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[],['704','668']) ).

cnf('706',plain,
    ( ~ product(X,e_2,e_1)
    | product(X,e_1,e_4) ),
    inference(resolution,[],['668','12']) ).

cnf('707',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[],['705','706']) ).

cnf('708',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6)
    | ~ product(e_4,X,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['707','69']) ).

cnf('709',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6)
    | product(e_4,e_4,e_4) ),
    inference(resolution,[],['707','37']) ).

cnf('710',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['708','709','88']) ).

cnf('711',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | ~ product(X,e_4,e_6)
    | equalish(X,e_1) ),
    inference(resolution,[],['710','5']) ).

cnf('712',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_4,e_3)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['694','711','43']) ).

cnf('713',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['712','205','88']) ).

cnf('714',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | ~ product(X,e_4,e_1)
    | product(X,e_1,e_6) ),
    inference(resolution,[],['710','12']) ).

cnf('715',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_2,e_1,e_6)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[],['713','714']) ).

cnf('716',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['715','214','135']) ).

cnf('717',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['716','69']) ).

cnf('718',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[],['716','37']) ).

cnf('719',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['717','718','43']) ).

cnf('720',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['719','220','43']) ).

cnf('721',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | ~ product(X,e_4,e_5)
    | equalish(X,e_1) ),
    inference(resolution,[],['720','5']) ).

cnf('722',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['672','721','119']) ).

cnf('723',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['722','140','141']) ).

cnf('724',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_3,e_2,e_3)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[],['723','107']) ).

cnf('725',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | ~ product(e_3,X,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['724','69']) ).

cnf('726',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_3,e_3,e_3) ),
    inference(resolution,[],['724','37']) ).

cnf('727',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['725','726','141']) ).

cnf('728',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['727','220','119']) ).

cnf('729',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | ~ product(e_2,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['728','69']) ).

cnf('730',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[],['728','37']) ).

cnf('731',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['729','730','43']) ).

cnf('732',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['731','220','43']) ).

cnf('733',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_6) ),
    inference(resolution,[],['337','69']) ).

cnf('734',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['732','733','289']) ).

cnf('735',plain,
    ( product(e_1,e_2,e_5)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['573','69']) ).

cnf('736',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['734','735','135']) ).

cnf('737',plain,
    ( product(e_1,e_4,e_2)
    | product(e_1,e_2,e_5) ),
    inference(resolution,[then_simplify],['736','427','40']) ).

cnf('738',plain,
    product(e_1,e_2,e_5),
    inference(resolution,[then_simplify],['737','735','65']) ).

cnf('739',plain,
    ( ~ product(e_1,e_2,X)
    | equalish(X,e_4) ),
    inference(resolution,[],['668','213']) ).

cnf('740',plain,
    $false,
    inference(resolution,[then_simplify],['738','739','396']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP128-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 00:46:52 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.38  
% 0.20/0.38  input clause set summed statistics:
% 0.20/0.38  ----------------------------------
% 0.20/0.38  in_clause_count:                    62
% 0.20/0.38  in_rule_clause_count:               36
% 0.20/0.38  in_fact_clause_count:               26
% 0.20/0.38  in_answer_clause_count:              0
% 0.20/0.38  in_ground_clause_count:             56
% 0.20/0.38  in_unit_clause_count:               56
% 0.20/0.38  in_horn_clause_count:               61
% 0.20/0.38  in_pos_clause_count:                26
% 0.20/0.38  in_neg_clause_count:                31
% 0.20/0.38  in_poseq_clause_count:               0
% 0.20/0.38  in_negeq_clause_count:               0
% 0.20/0.38  in_unitposeq_clause_count:           0
% 0.20/0.38  in_chain_clause_count:               0
% 0.20/0.38  in_min_length:             1
% 0.20/0.38  in_max_length:             8
% 0.20/0.38  in_min_depth:              1
% 0.20/0.38  in_max_depth:              1
% 0.20/0.38  in_min_size:               2
% 0.20/0.38  in_max_size:              28
% 0.20/0.38  in_min_vars:               0
% 0.20/0.38  in_max_vars:               4
% 0.20/0.38  in_extaxiom_count:                 0
% 0.20/0.38  in_axiom_count:                   61
% 0.20/0.38  in_assumption_count:               0
% 0.20/0.38  in_goal_count:                     1
% 0.20/0.38  in_neg_goal_count:                 0
% 0.20/0.38  in_pos_goal_count:                 0
% 0.20/0.38  in_posunit_goal_count:             0
% 0.20/0.38  
% 0.20/0.38  auto guide:
% 0.20/0.38  -----------
% 0.20/0.38  {
% 0.20/0.38  "print":1,
% 0.20/0.38  "print_level": 15,
% 0.20/0.38  "max_size": 0,
% 0.20/0.38  "max_depth": 0,
% 0.20/0.38  "max_length": 0,
% 0.20/0.38  "max_dseconds": 0,
% 0.20/0.38  "equality":0,
% 0.20/0.38  "runs":[
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.38  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.20/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.38  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  
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% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
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% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.38  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.20/0.38  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
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% 0.20/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.20/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.38  
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% 0.20/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.20/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.20/0.38  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.20/0.38  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.38  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
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% 0.20/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.20/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.20/0.39  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 4 fork 3 starts with strategy
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  
% 0.20/0.39  **** run 5 fork 4 starts with strategy
% 0.20/0.39  
% 0.20/0.39  **** run 8 fork 7 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
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% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 6 fork 5 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
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% 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,"var_weight":70,"repeat_var_weight":70}
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% 0.20/0.46  
% 0.20/0.46  **** run 16 fork 7 starts with strategy
% 0.20/0.46  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
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% 0.20/0.52  
% 0.20/0.52  **** run 14 fork 5 starts with strategy
% 0.20/0.52  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.52  
% 0.20/0.52  **** run 13 fork 4 starts with strategy
% 0.20/0.52  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.53  
% 0.20/0.53  **** run 9 fork 0 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  **** run 11 fork 2 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.53  
% 0.20/0.53  **** run 12 fork 3 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
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% 0.20/0.54  **** run 10 fork 1 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
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% 0.20/0.57  
% 0.20/0.57  **** run 21 fork 4 starts with strategy
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% 0.20/0.57  fork 7: search finished without proof.
% 0.20/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.58  
% 0.20/0.58  **** run 20 fork 3 starts with strategy
% 0.20/0.58  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.58  
% 0.20/0.58  **** run 22 fork 5 starts with strategy
% 0.20/0.58  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.59  
% 0.20/0.59  **** run 24 fork 7 starts with strategy
% 0.20/0.59  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
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% 0.20/0.59  fork 6: search finished without proof.
% 0.20/0.61  
% 0.20/0.61  **** run 15 fork 6 starts with strategy
% 0.20/0.61  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
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% 0.20/0.65  
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% 0.20/0.65  
% 0.20/0.65  **** run 17 fork 0 starts with strategy
% 0.20/0.65  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.20/0.66  
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% 0.20/0.66  fork 1: 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":["positive_pref"],"query_preference":0}
% 0.20/0.68  
% 0.20/0.68  **** run 18 fork 1 starts with strategy
% 0.20/0.68  {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
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% 0.20/0.71  
% 0.20/0.71  **** run 28 fork 3 starts with strategy
% 0.20/0.71  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 0.20/0.71  
% 0.20/0.71  fork 5: search finished without proof.
% 0.20/0.71  
% 0.20/0.71  **** run 29 fork 4 starts with strategy
% 0.20/0.71  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
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% 0.20/0.72  fork 1: search finished without proof.
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% 0.20/0.73  fork 6: search terminated without proof.
% 0.20/0.73  
% 0.20/0.73  **** run 30 fork 5 starts with strategy
% 0.20/0.73  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.20/0.74  
% 0.20/0.74  **** run 23 fork 6 starts with strategy
% 0.20/0.74  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
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% 0.20/0.76  
% 0.20/0.76  **** run 26 fork 1 starts with strategy
% 0.20/0.76  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.77  
% 0.20/0.77  **** run 36 fork 3 starts with strategy
% 0.20/0.77  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.20/0.77  
% 0.20/0.77  **** run 32 fork 7 starts with strategy
% 0.20/0.77  
% 0.20/0.77  **** run 38 fork 5 starts with strategy
% 0.20/0.77  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 0.20/0.77  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
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% 0.20/0.79  fork 0: search terminated without proof.
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% 0.20/0.80  
% 0.20/0.80  **** run 31 fork 6 starts with strategy
% 0.20/0.80  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.20/0.81  
% 0.20/0.81  **** run 25 fork 0 starts with strategy
% 0.20/0.81  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.20/0.81  
% 0.20/0.81  **** run 40 fork 7 starts with strategy
% 0.20/0.81  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":2}
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% 2.71/0.86  
% 2.71/0.86  **** run 48 fork 7 starts with strategy
% 2.71/0.86  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 2.71/0.86  
% 2.71/0.86  **** run 27 fork 2 starts with strategy
% 2.71/0.86  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 2.71/0.86  
% 2.71/0.86  **** run 37 fork 4 starts with strategy
% 2.71/0.86  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":2}
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% 2.71/0.89  fork 3: search terminated without proof.
% 2.71/0.89  
% 2.71/0.89  fork 4: search finished without proof.
% 3.91/0.90  
% 3.91/0.90  
% 3.91/0.90  fork 1: search terminated without proof.
% 3.91/0.90  
% 3.91/0.90  **** run 44 fork 3 starts with strategy
% 3.91/0.90  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 3.91/0.91  
% 3.91/0.91  **** run 45 fork 4 starts with strategy
% 3.91/0.91  {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 3.91/0.91  
% 3.91/0.91  **** run 34 fork 1 starts with strategy
% 3.91/0.91  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 4.08/0.92  
% 4.08/0.92  
% 4.08/0.92  fork 5: search terminated without proof.
% 4.12/0.93  
% 4.12/0.93  
% 4.12/0.93  fork 6: search terminated without proof.
% 4.12/0.93  
% 4.12/0.93  fork 0: search finished without proof.
% 4.12/0.93  
% 4.12/0.93  **** run 46 fork 5 starts with strategy
% 4.12/0.93  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.12/0.94  
% 4.12/0.94  fork 4: search finished without proof.
% 4.12/0.94  
% 4.12/0.94  **** run 39 fork 6 starts with strategy
% 4.12/0.94  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.12/0.95  
% 4.12/0.95  **** run 33 fork 0 starts with strategy
% 4.12/0.95  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1,"sine":1}
% 4.12/0.95  
% 4.12/0.95  **** run 53 fork 4 starts with strategy
% 4.12/0.95  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 4.12/0.98  
% 4.12/0.98  fork 0: search finished without proof.
% 4.12/0.98  
% 4.12/0.98  fork 6: search finished without proof.
% 4.12/0.99  
% 4.12/0.99  
% 4.12/0.99  fork 2: search terminated without proof.
% 4.12/1.00  
% 4.12/1.00  **** run 41 fork 0 starts with strategy
% 4.12/1.00  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.74/1.00  
% 4.74/1.00  **** run 47 fork 6 starts with strategy
% 4.74/1.00  {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.74/1.01  
% 4.74/1.01  **** run 35 fork 2 starts with strategy
% 4.74/1.01  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 4.74/1.04  
% 4.74/1.04  fork 1: search finished without proof.
% 4.74/1.06  
% 4.74/1.06  **** run 42 fork 1 starts with strategy
% 4.74/1.06  {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 5.38/1.08  
% 5.38/1.08  fork 1: search finished without proof.
% 5.38/1.09  
% 5.38/1.09  **** run 50 fork 1 starts with strategy
% 5.38/1.09  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 5.38/1.11  
% 5.38/1.11  fork 0: search finished without proof.
% 5.38/1.13  
% 5.38/1.13  
% 5.38/1.13  fork 2: search terminated without proof.
% 5.38/1.14  
% 5.38/1.14  **** run 49 fork 0 starts with strategy
% 5.38/1.14  {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 5.38/1.15  
% 5.38/1.15  **** run 43 fork 2 starts with strategy
% 5.38/1.15  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 5.38/1.17  
% 5.38/1.17  fork 0: search finished without proof.
% 6.12/1.19  
% 6.12/1.19  **** run 57 fork 0 starts with strategy
% 6.12/1.19  {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 6.54/1.22  
% 6.54/1.22  fork 0: search finished without proof.
% 6.54/1.23  
% 6.54/1.23  **** run 65 fork 0 starts with strategy
% 6.54/1.24  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 6.54/1.27  
% 6.54/1.27  
% 6.54/1.27  fork 2: search terminated without proof.
% 6.54/1.29  
% 6.54/1.29  **** run 51 fork 2 starts with strategy
% 6.54/1.29  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 7.15/1.32  
% 7.15/1.32  fork 2: search finished without proof.
% 7.15/1.34  
% 7.15/1.34  **** run 59 fork 2 starts with strategy
% 7.15/1.34  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 11.65/1.88  
% 11.65/1.88  
% 11.65/1.88  fork 7: search terminated without proof.
% 11.65/1.90  
% 11.65/1.90  **** run 56 fork 7 starts with strategy
% 11.65/1.90  {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 11.65/1.93  
% 11.65/1.93  fork 7: search finished without proof.
% 11.65/1.94  
% 11.65/1.94  
% 11.65/1.94  fork 3: search terminated without proof.
% 11.65/1.94  
% 11.65/1.94  **** run 64 fork 7 starts with strategy
% 11.65/1.94  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 11.65/1.95  
% 11.65/1.95  **** run 52 fork 3 starts with strategy
% 11.65/1.95  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 11.65/1.96  
% 11.65/1.96  
% 11.65/1.96  fork 5: search terminated without proof.
% 12.41/1.98  
% 12.41/1.98  **** run 54 fork 5 starts with strategy
% 12.41/1.98  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 12.41/1.98  
% 12.41/1.98  
% 12.41/1.98  fork 4: search terminated without proof.
% 12.55/1.99  
% 12.55/1.99  **** run 61 fork 4 starts with strategy
% 12.55/1.99  {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":10}
% 12.55/2.01  
% 12.55/2.01  
% 12.55/2.01  fork 6: search terminated without proof.
% 12.80/2.02  
% 12.80/2.02  fork 4: search finished without proof.
% 12.80/2.03  
% 12.80/2.03  **** run 55 fork 6 starts with strategy
% 12.80/2.03  {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 12.80/2.04  
% 12.80/2.04  **** run 69 fork 4 starts with strategy
% 12.80/2.04  {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 12.80/2.07  
% 12.80/2.07  fork 6: search finished without proof.
% 12.80/2.08  
% 12.80/2.08  **** run 63 fork 6 starts with strategy
% 12.80/2.08  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 12.80/2.12  
% 12.80/2.12  
% 12.80/2.12  fork 1: search terminated without proof.
% 12.80/2.13  
% 12.80/2.13  **** run 58 fork 1 starts with strategy
% 12.80/2.13  {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 15.21/2.37  
% 15.21/2.37  
% 15.21/2.37  fork 2: search terminated without proof.
% 15.21/2.38  
% 15.21/2.38  **** run 67 fork 2 starts with strategy
% 15.21/2.38  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 15.98/2.46  
% 15.98/2.46  
% 15.98/2.46  fork 0: search terminated without proof.
% 15.98/2.48  
% 15.98/2.48  **** run 73 fork 0 starts with strategy
% 15.98/2.48  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 16.41/2.50  
% 16.41/2.50  fork 0: search finished without proof.
% 16.41/2.52  
% 16.41/2.52  **** run 81 fork 0 starts with strategy
% 16.41/2.52  {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 19.65/3.00  
% 19.65/3.00  
% 19.65/3.00  fork 5: search terminated without proof.
% 20.45/3.02  
% 20.45/3.02  **** run 62 fork 5 starts with strategy
% 20.45/3.02  {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 20.45/3.03  
% 20.45/3.03  
% 20.45/3.03  fork 3: search terminated without proof.
% 20.45/3.04  
% 20.45/3.04  **** run 60 fork 3 starts with strategy
% 20.45/3.04  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 20.80/3.06  
% 20.80/3.06  
% 20.80/3.06  fork 4: search terminated without proof.
% 20.80/3.08  
% 20.80/3.08  **** run 77 fork 4 starts with strategy
% 20.80/3.08  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 20.80/3.08  
% 20.80/3.08  
% 20.80/3.08  fork 7: search terminated without proof.
% 20.80/3.10  
% 20.80/3.10  **** run 72 fork 7 starts with strategy
% 20.80/3.10  {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 20.80/3.13  
% 20.80/3.13  
% 20.80/3.13  fork 6: search terminated without proof.
% 21.45/3.14  
% 21.45/3.14  **** run 71 fork 6 starts with strategy
% 21.45/3.14  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
% 21.45/3.16  
% 21.45/3.16  
% 21.45/3.16  fork 1: search terminated without proof.
% 21.45/3.17  
% 21.45/3.17  fork 6: search finished without proof.
% 21.45/3.17  
% 21.45/3.17  **** run 66 fork 1 starts with strategy
% 21.45/3.17  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 21.76/3.18  
% 21.76/3.18  **** run 79 fork 6 starts with strategy
% 21.76/3.18  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 21.76/3.20  
% 21.76/3.20  fork 1: search finished without proof.
% 21.76/3.22  
% 21.76/3.22  **** run 74 fork 1 starts with strategy
% 21.76/3.22  {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 23.21/3.41  
% 23.21/3.41  
% 23.21/3.41  fork 2: search terminated without proof.
% 23.21/3.42  
% 23.21/3.42  **** run 75 fork 2 starts with strategy
% 23.21/3.42  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":2}
% 23.85/3.45  
% 23.85/3.45  fork 2: search finished without proof.
% 23.85/3.46  
% 23.85/3.46  **** run 83 fork 2 starts with strategy
% 23.85/3.46  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":2}
% 24.19/3.49  
% 24.19/3.49  fork 2: search finished without proof.
% 24.19/3.51  
% 24.19/3.51  **** run 91 fork 2 starts with strategy
% 24.19/3.51  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 24.19/3.55  
% 24.19/3.55  
% 24.19/3.55  fork 0: search terminated without proof.
% 24.19/3.60  
% 24.19/3.60  **** run 89 fork 0 starts with strategy
% 24.19/3.60  {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 28.68/4.08  
% 28.68/4.08  
% 28.68/4.08  fork 3: search terminated without proof.
% 28.68/4.08  
% 28.68/4.08  
% 28.68/4.08  fork 5: search terminated without proof.
% 28.68/4.10  
% 28.68/4.10  **** run 68 fork 3 starts with strategy
% 28.68/4.10  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 28.68/4.10  
% 28.68/4.10  **** run 70 fork 5 starts with strategy
% 28.68/4.10  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 28.68/4.10  
% 28.68/4.10  
% 28.68/4.10  fork 4: search terminated without proof.
% 28.68/4.12  
% 28.68/4.12  **** run 85 fork 4 starts with strategy
% 28.68/4.12  {"max_dseconds":10,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 28.68/4.13  
% 28.68/4.13  
% 28.68/4.13  fork 7: search terminated without proof.
% 28.68/4.14  
% 28.68/4.14  fork 4: search finished without proof.
% 28.68/4.15  
% 28.68/4.15  **** run 80 fork 7 starts with strategy
% 28.68/4.15  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 29.46/4.16  
% 29.46/4.16  **** run 93 fork 4 starts with strategy
% 29.46/4.16  {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 29.46/4.17  
% 29.46/4.17  fork 7: search finished without proof.
% 29.46/4.19  
% 29.46/4.19  **** run 88 fork 7 starts with strategy
% 29.46/4.19  {"max_dseconds":50,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 29.77/4.21  
% 29.77/4.21  
% 29.77/4.21  fork 6: search terminated without proof.
% 29.77/4.22  
% 29.77/4.22  fork 7: search finished without proof.
% 29.77/4.23  
% 29.77/4.23  **** run 87 fork 6 starts with strategy
% 29.77/4.23  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0}
% 29.77/4.23  
% 29.77/4.23  **** run 96 fork 7 starts with strategy
% 29.77/4.23  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1}
% 29.77/4.24  
% 29.77/4.24  
% 29.77/4.24  fork 1: search terminated without proof.
% 29.77/4.27  
% 29.77/4.27  **** run 82 fork 1 starts with strategy
% 29.77/4.28  {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 29.77/4.32  
% 29.77/4.32  fork 1: search finished without proof.
% 29.77/4.33  
% 29.77/4.33  **** run 90 fork 1 starts with strategy
% 29.77/4.33  {"max_dseconds":50,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 36.92/5.13  
% 36.92/5.13  
% 36.92/5.13  fork 3: search terminated without proof.
% 36.92/5.15  
% 36.92/5.15  **** run 76 fork 3 starts with strategy
% 36.92/5.15  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1,"sine":1}
% 36.92/5.17  
% 36.92/5.17  
% 36.92/5.17  fork 5: search terminated without proof.
% 36.92/5.18  
% 36.92/5.18  fork 3: search finished without proof.
% 36.92/5.19  
% 36.92/5.19  **** run 78 fork 5 starts with strategy
% 36.92/5.19  {"max_dseconds":10,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 36.92/5.20  
% 36.92/5.20  **** run 84 fork 3 starts with strategy
% 36.92/5.20  {"max_dseconds":10,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 45.40/6.21  
% 45.40/6.21  
% 45.40/6.21  fork 5: search terminated without proof.
% 45.40/6.23  
% 45.40/6.23  
% 45.40/6.23  fork 3: search terminated without proof.
% 45.40/6.23  
% 45.40/6.23  **** run 86 fork 5 starts with strategy
% 45.40/6.23  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 45.79/6.25  
% 45.79/6.25  **** run 92 fork 3 starts with strategy
% 45.79/6.25  {"max_dseconds":50,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 45.79/6.28  
% 45.79/6.28  fork 3: search finished without proof.
% 45.79/6.29  
% 45.79/6.29  **** run 100 fork 3 starts with strategy
% 45.79/6.29  {"max_dseconds":50,"strategy":["unit"],"query_preference":1}
% 45.79/6.31  
% 45.79/6.31  fork 3: search finished without proof.
% 45.79/6.33  
% 45.79/6.33  **** run 108 fork 3 starts with strategy
% 45.79/6.33  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 53.40/7.26  
% 53.40/7.26  
% 53.40/7.26  fork 5: search terminated without proof.
% 53.56/7.27  
% 53.56/7.27  **** run 94 fork 5 starts with strategy
% 53.56/7.27  {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 53.56/7.30  
% 53.56/7.30  fork 5: search finished without proof.
% 53.56/7.31  
% 53.56/7.31  **** run 102 fork 5 starts with strategy
% 53.56/7.31  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":50}
% 63.57/8.59  
% 63.57/8.59  
% 63.57/8.59  fork 2: search terminated without proof.
% 63.57/8.60  
% 63.57/8.60  **** run 99 fork 2 starts with strategy
% 63.57/8.60  {"max_dseconds":50,"strategy":["unit"],"query_preference":0}
% 64.27/8.63  
% 64.27/8.63  fork 2: search finished without proof.
% 64.27/8.64  
% 64.27/8.64  **** run 107 fork 2 starts with strategy
% 64.27/8.64  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 65.98/8.87  
% 65.98/8.87  
% 65.98/8.87  fork 0: search terminated without proof.
% 65.98/8.88  
% 65.98/8.88  **** run 97 fork 0 starts with strategy
% 65.98/8.88  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 68.95/9.26  
% 68.95/9.26  
% 68.95/9.26  fork 7: search terminated without proof.
% 69.27/9.28  
% 69.27/9.28  **** run 104 fork 7 starts with strategy
% 69.27/9.28  {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":50}
% 69.27/9.31  
% 69.27/9.31  fork 7: search finished without proof.
% 69.27/9.32  
% 69.27/9.32  **** run 112 fork 7 starts with strategy
% 69.27/9.32  {"max_dseconds":50,"strategy":["hardness_pref"],"query_preference":0}
% 69.27/9.32  
% 69.27/9.32  
% 69.27/9.32  fork 6: search terminated without proof.
% 69.84/9.34  
% 69.84/9.34  **** run 95 fork 6 starts with strategy
% 69.84/9.34  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":1}
% 70.05/9.40  
% 70.05/9.40  
% 70.05/9.40  fork 1: search terminated without proof.
% 70.05/9.42  
% 70.05/9.42  **** run 98 fork 1 starts with strategy
% 70.05/9.42  {"max_dseconds":50,"strategy":["query_focus","double"],"query_preference":1}
% 70.51/9.44  
% 70.51/9.44  fork 1: search finished without proof.
% 70.51/9.45  
% 70.51/9.45  **** run 106 fork 1 starts with strategy
% 70.51/9.45  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":50}
% 70.74/9.48  
% 70.74/9.48  
% 70.74/9.48  fork 4: search terminated without proof.
% 70.74/9.50  
% 70.74/9.50  **** run 101 fork 4 starts with strategy
% 70.74/9.50  {"max_dseconds":50,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 86.59/11.50  
% 86.59/11.50  
% 86.59/11.50  fork 3: search terminated without proof.
% 86.59/11.52  
% 86.59/11.52  **** run 116 fork 3 starts with strategy
% 86.59/11.52  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":1}
% 86.59/11.54  
% 86.59/11.54  fork 3: search finished without proof.
% 86.59/11.55  
% 86.59/11.55  **** run 124 fork 3 starts with strategy
% 86.59/11.55  {"max_dseconds":50,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 95.94/12.71  
% 95.94/12.71  
% 95.94/12.71  fork 5: search terminated without proof.
% 95.94/12.73  
% 95.94/12.73  **** run 110 fork 5 starts with strategy
% 95.94/12.73  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":50}
% 103.78/13.71  
% 103.78/13.71  
% 103.78/13.71  fork 2: search terminated without proof.
% 103.78/13.73  
% 103.78/13.73  **** run 115 fork 2 starts with strategy
% 103.78/13.73  {"max_dseconds":50,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 106.42/14.09  
% 106.42/14.09  
% 106.42/14.09  fork 0: search terminated without proof.
% 106.42/14.11  
% 106.42/14.11  **** run 105 fork 0 starts with strategy
% 106.42/14.11  {"max_dseconds":50,"strategy":["positive_pref"],"query_preference":0}
% 108.82/14.42  
% 108.82/14.42  
% 108.82/14.42  fork 7: search terminated without proof.
% 108.82/14.44  
% 108.82/14.44  **** run 120 fork 7 starts with strategy
% 108.82/14.44  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 108.82/14.56  
% 108.82/14.56  
% 108.82/14.56  fork 1: search terminated without proof.
% 109.84/14.58  
% 109.84/14.58  **** run 114 fork 1 starts with strategy
% 109.84/14.58  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":0}
% 109.84/14.60  
% 109.84/14.60  fork 1: search finished without proof.
% 109.84/14.61  
% 109.84/14.61  
% 109.84/14.61  fork 6: search terminated without proof.
% 109.84/14.61  
% 109.84/14.61  **** run 122 fork 1 starts with strategy
% 109.84/14.61  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 109.84/14.62  
% 109.84/14.62  
% 109.84/14.62  fork 4: search terminated without proof.
% 110.74/14.62  
% 110.74/14.62  **** run 103 fork 6 starts with strategy
% 110.74/14.62  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":50}
% 110.74/14.63  
% 110.74/14.63  **** run 109 fork 4 starts with strategy
% 110.74/14.63  {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 110.74/14.66  
% 110.74/14.66  fork 4: search finished without proof.
% 110.74/14.67  
% 110.74/14.67  **** run 117 fork 4 starts with strategy
% 110.74/14.67  {"max_dseconds":50,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 128.66/16.91  
% 128.66/16.91  
% 128.66/16.91  fork 3: search terminated without proof.
% 128.66/16.93  
% 128.66/16.93  **** run 132 fork 3 starts with strategy
% 128.66/16.93  {"max_dseconds":250,"strategy":["query_focus"],"query_preference":1}
% 135.46/17.78  
% 135.46/17.78  
% 135.46/17.78  fork 5: search terminated without proof.
% 135.46/17.80  
% 135.46/17.80  **** run 118 fork 5 starts with strategy
% 135.46/17.80  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":2}
% 135.46/17.82  
% 135.46/17.82  fork 5: search finished without proof.
% 135.46/17.84  
% 135.46/17.84  **** run 126 fork 5 starts with strategy
% 135.46/17.84  {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"sine":2}
% 136.07/17.87  
% 136.07/17.87  fork 5: search finished without proof.
% 136.27/17.88  
% 136.27/17.88  **** run 134 fork 5 starts with strategy
% 136.27/17.88  {"max_dseconds":250,"strategy":["query_focus","double"],"query_preference":1}
% 136.27/17.90  
% 136.27/17.90  fork 5: search finished without proof.
% 136.27/17.92  
% 136.27/17.92  **** run 142 fork 5 starts with strategy
% 136.27/17.92  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":250}
% 142.91/18.76  
% 142.91/18.76  
% 142.91/18.76  fork 2: search terminated without proof.
% 142.91/18.78  
% 142.91/18.78  **** run 123 fork 2 starts with strategy
% 142.91/18.78  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 143.41/18.81  
% 143.41/18.81  fork 2: search finished without proof.
% 143.41/18.82  
% 143.41/18.82  **** run 131 fork 2 starts with strategy
% 143.41/18.82  {"max_dseconds":250,"strategy":["negative_pref"],"query_preference":1}
% 146.59/19.25  
% 146.59/19.25  
% 146.59/19.25  fork 0: search terminated without proof.
% 147.09/19.27  
% 147.09/19.27  **** run 113 fork 0 starts with strategy
% 147.09/19.27  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":2}
% 148.98/19.54  
% 148.98/19.54  
% 148.98/19.54  fork 7: search terminated without proof.
% 148.98/19.57  
% 148.98/19.57  **** run 128 fork 7 starts with strategy
% 148.98/19.57  {"max_dseconds":50,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 148.98/19.62  
% 148.98/19.62  fork 7: search finished without proof.
% 148.98/19.63  
% 148.98/19.63  **** run 136 fork 7 starts with strategy
% 148.98/19.63  {"max_dseconds":250,"strategy":["unit"],"query_preference":1}
% 148.98/19.66  
% 148.98/19.66  fork 7: search finished without proof.
% 148.98/19.67  
% 148.98/19.67  **** run 144 fork 7 starts with strategy
% 148.98/19.67  {"max_dseconds":250,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 150.30/19.68  
% 150.30/19.68  
% 150.30/19.68  fork 6: search terminated without proof.
% 150.30/19.70  
% 150.30/19.70  **** run 111 fork 6 starts with strategy
% 150.30/19.70  {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":20}
% 150.75/19.77  
% 150.75/19.77  
% 150.75/19.77  fork 4: search terminated without proof.
% 150.75/19.79  
% 150.75/19.79  **** run 125 fork 4 starts with strategy
% 150.75/19.79  {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 150.75/19.81  
% 150.75/19.81  fork 4: search finished without proof.
% 151.41/19.83  
% 151.41/19.83  **** run 133 fork 4 starts with strategy
% 151.41/19.83  {"max_dseconds":250,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 151.88/19.91  
% 151.88/19.91  
% 151.88/19.91  fork 1: search terminated without proof.
% 151.88/19.93  
% 151.88/19.93  **** run 130 fork 1 starts with strategy
% 151.88/19.93  {"max_dseconds":250,"strategy":["negative_pref"],"query_preference":0}
% 186.88/24.51  
% 186.88/24.51  
% 186.88/24.51  fork 0: search terminated without proof.
% 186.88/24.53  
% 186.88/24.53  **** run 121 fork 0 starts with strategy
% 186.88/24.53  {"max_dseconds":50,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 189.96/24.77  
% 189.96/24.77  
% 189.96/24.77  fork 6: search terminated without proof.
% 189.96/24.78  
% 189.96/24.78  **** run 119 fork 6 starts with strategy
% 189.96/24.78  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":1,"sine":1}
% 190.18/24.81  
% 190.18/24.81  fork 6: search finished without proof.
% 190.18/24.82  
% 190.18/24.82  **** run 127 fork 6 starts with strategy
% 190.18/24.82  {"max_dseconds":50,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 226.92/29.58  
% 226.92/29.58  
% 226.92/29.58  result: proof found
% 226.92/29.58  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 226.92/29.58  by run 130 fork 1 strategy {"max_dseconds":250,"strategy":["negative_pref"],"query_preference":0}
% 226.92/29.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 226.92/29.58  
% 226.92/29.58  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 226.92/29.59  
% 226.92/29.59  run 130 fork 1 statistics:
% 226.92/29.59  ----------------------------------
% 226.92/29.59  this run seconds: 9.271501
% 226.92/29.59  total seconds: 28.343615
% 226.92/29.59  stat_given_used: 10078
% 226.92/29.59  stat_given_used_at_endgame: 0
% 226.92/29.59  stat_given_candidates:   58840
% 226.92/29.59  stat_given_candidates_at_endgame: 0
% 226.92/29.59  stat_given_candidates_h: 0
% 226.92/29.59  stat_binres_derived_cl:   710557
% 226.92/29.59  stat_binres_derived_cl_h: 0
% 226.92/29.59  stat_factor_derived_cl: 131
% 226.92/29.59  stat_para_derived_cl: 0
% 226.92/29.59  stat_tautologies_discarded: 293
% 226.92/29.59  stat_forward_subsumed: 204228
% 226.92/29.59  stat_derived_cut: 376581
% 226.92/29.59  stat_derived_rewritten: 0
% 226.92/29.59  stat_weight_discarded_building: 0
% 226.92/29.59  stat_weight_discarded_cl: 0
% 226.92/29.59  stat_internlimit_discarded_cl: 0
% 226.92/29.59  stat_simplified:  1 simplified 0 derived 0 given
% 226.92/29.59  stat_kept_cl: 506166
% 226.92/29.59  stat_built_cl: 526323
% 226.92/29.59  stat_hyperres_partial_cl: 0
% 226.92/29.59  stat_made_rewriters: 0
% 226.92/29.59  stat_backward_subsumed: 0
% 226.92/29.59  stat_propagated_subsumed: 0
% 226.92/29.59  stat_clsubs_attempted:                   2719216
% 226.92/29.59  stat_clsubs_fact_groundunit_found:            33
% 226.92/29.59  stat_clsubs_rule_groundunit_found:            30
% 226.92/29.59  stat_clsubs_top_meta_attempted:          230583755
% 226.92/29.59  stat_clsubs_top_meta_failed:             227864539
% 226.92/29.59  stat_clsubs_top_meta_nonpref_attempted:           230583755
% 226.92/29.59  stat_clsubs_top_meta_nonpref_succeeded:            46831856
% 226.92/29.59  stat_clsubs_top_meta_pref_attempted:               46831856
% 226.92/29.59  stat_clsubs_top_meta_pref1_succeeded:              41380228
% 226.92/29.59  stat_clsubs_top_meta_pref2_succeeded:               9854870
% 226.92/29.59  stat_clsubs_top_meta_pref3_succeeded:               2719216
% 226.92/29.59  stat_clsubs_top_meta_pref_succeeded:                2719216
% 226.92/29.59  stat_clsubs_meta_attempted:             20387150
% 226.92/29.59  stat_clsubs_meta_failed:                12928663
% 226.92/29.59  stat_clsubs_predsymbs_attempted:               0
% 226.92/29.59  stat_clsubs_unit_attempted:                    0
% 226.92/29.59  stat_clsubs_full_attempted:              2719216
% 226.92/29.59  stat_forwardsubs_attempted:               710395
% 226.92/29.59  stat_lit_hash_added:                    250
% 226.92/29.59  stat_lit_hash_computed:            20323494
% 226.92/29.59  stat_lit_hash_match_found:           599797
% 226.92/29.59  stat_lit_hash_match_miss:          30860569
% 226.92/29.59  stat_lit_hash_cut_ok:                390640
% 226.92/29.59  stat_lit_strong_cut_ok:                   0
% 226.92/29.59  stat_lit_hash_subsume_ok:            204228
% 226.92/29.59  clqueue els 10000000 used 1
% 226.92/29.59  clactive els 10000000 used 10079
% 226.92/29.59  clactivesubsume els 10000000 used 60079
% 226.92/29.59  queue_termbuf els 200000000 used 87284374
% 226.92/29.59  hyper_termbuf els 100000000 used 1
% 226.92/29.59  active_termbuf els 100000000 used 1001493
% 226.92/29.59  varstack els 5000 last used 1
% 226.92/29.59  given_termbuf els 10000000 last used 1
% 226.92/29.59  simplified_termbuf els 10000000 last used 1
% 226.92/29.59  derived_termbuf els 10000000 last used 22
% 226.92/29.59  wr_mallocs: 22449
% 226.92/29.59  wr_callocs: 19
% 226.92/29.59  wr_reallocs: 532
% 226.92/29.59  wr_frees: 2
% 226.92/29.59  wr_malloc_bytes: 4163301764
% 226.92/29.59  wr_calloc_bytes: 96065504
% 226.92/29.59  wr_realloc_bytes: 10833824
% 226.92/29.59  wr_realloc_freebytes: 0
% 226.92/29.59  ----------------------------------
%------------------------------------------------------------------------------