TSTP Solution File: GRP127-2.006 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n012.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 00:52:39 EDT 2023

% Result   : Unsatisfiable 275.88s 36.35s
% Output   : CNFRefutation 275.88s
% 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,
    group_element(e_1),
    inference(cnf_transformation,[],[element_1]) ).

cnf('3',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','2']) ).

cnf('4',plain,
    group_element(e_6),
    inference(cnf_transformation,[],[element_6]) ).

cnf('5',plain,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5)
    | product(e_6,e_1,e_6) ),
    inference(resolution,[],['3','4']) ).

cnf('6',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(U,Y) ),
    inference(cnf_transformation,[],[product_right_cancellation]) ).

cnf('7',plain,
    product(X,X,X),
    inference(cnf_transformation,[],[product_idempotence]) ).

cnf('8',plain,
    ( ~ product(X,Y,Z)
    | ~ product(Y,U,X)
    | product(Z,Y,U) ),
    inference(cnf_transformation,[],[qg3]) ).

cnf('9',plain,
    ( ~ product(X,Y,X)
    | product(X,X,Y) ),
    inference(resolution,[],['7','8']) ).

cnf('10',plain,
    product(X,X,X),
    inference(resolution,[],['9','7']) ).

cnf('11',plain,
    ( ~ product(X,Y,X)
    | equalish(Y,X) ),
    inference(resolution,[],['6','10']) ).

cnf('12',plain,
    ~ equalish(e_1,e_6),
    inference(cnf_transformation,[],[e_1_is_not_e_6]) ).

cnf('13',plain,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_6,e_1,e_5) ),
    inference(resolution,[then_simplify],['5','11','12']) ).

cnf('14',plain,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | product(e_5,e_1,X)
    | ~ product(e_1,X,e_6) ),
    inference(resolution,[],['13','8']) ).

cnf('15',plain,
    group_element(e_4),
    inference(cnf_transformation,[],[element_4]) ).

cnf('16',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','15']) ).

cnf('17',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,[],['16','2']) ).

cnf('18',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_6,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_6,e_1,e_2)
    | product(e_1,e_4,e_4)
    | product(e_6,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_1,e_4,e_5)
    | product(e_6,e_1,e_4) ),
    inference(resolution,[],['14','17']) ).

cnf('19',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_6,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_6,e_1,e_2)
    | product(e_1,e_4,e_4)
    | product(e_6,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_1,e_4,e_5)
    | product(e_4,e_1,X)
    | ~ product(e_1,X,e_6) ),
    inference(resolution,[],['18','8']) ).

cnf('20',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_6,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_6,e_1,e_2)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4)
    | product(e_6,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[],['19','17']) ).

cnf('21',plain,
    group_element(e_2),
    inference(cnf_transformation,[],[element_2]) ).

cnf('22',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,[],['3','21']) ).

cnf('23',plain,
    ( ~ product(X,e_1,Y)
    | ~ greater(Y,Z)
    | ~ next(X,Z) ),
    inference(cnf_transformation,[],[no_redundancy]) ).

cnf('24',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,[],['22','23']) ).

cnf('25',plain,
    greater(e_6,e_3),
    inference(cnf_transformation,[],[e_6_greater_e_3]) ).

cnf('26',plain,
    next(e_2,e_3),
    inference(cnf_transformation,[],[e_2_then_e_3]) ).

cnf('27',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],['24','25','26']) ).

cnf('28',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,[],['27','23']) ).

cnf('29',plain,
    greater(e_5,e_3),
    inference(cnf_transformation,[],[e_5_greater_e_3]) ).

cnf('30',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],['28','29','26']) ).

cnf('31',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,[],['30','23']) ).

cnf('32',plain,
    greater(e_4,e_3),
    inference(cnf_transformation,[],[e_4_greater_e_3]) ).

cnf('33',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],['31','32','26']) ).

cnf('34',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,Y,Z)
    | equalish(U,X) ),
    inference(cnf_transformation,[],[product_left_cancellation]) ).

cnf('35',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,[],['33','34']) ).

cnf('36',plain,
    ~ equalish(e_6,e_2),
    inference(cnf_transformation,[],[e_6_is_not_e_2]) ).

cnf('37',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_6,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_6,e_1,e_2)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4)
    | product(e_5,e_1,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['20','35','36']) ).

cnf('38',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_6,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4)
    | product(e_5,e_1,e_4)
    | product(e_1,e_4,e_5)
    | product(e_2,e_1,X)
    | ~ product(e_1,X,e_6) ),
    inference(resolution,[],['37','8']) ).

cnf('39',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_6,e_1,e_1)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4)
    | product(e_5,e_1,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[],['38','17']) ).

cnf('40',plain,
    ( ~ product(X,Y,Y)
    | equalish(X,Y) ),
    inference(resolution,[],['34','10']) ).

cnf('41',plain,
    ~ equalish(e_6,e_1),
    inference(cnf_transformation,[],[e_6_is_not_e_1]) ).

cnf('42',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_1,e_4)
    | 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_4)
    | product(e_5,e_1,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['39','40','41']) ).

cnf('43',plain,
    group_element(e_3),
    inference(cnf_transformation,[],[element_3]) ).

cnf('44',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,[],['3','43']) ).

cnf('45',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,[],['44','23']) ).

cnf('46',plain,
    greater(e_6,e_4),
    inference(cnf_transformation,[],[e_6_greater_e_4]) ).

cnf('47',plain,
    next(e_3,e_4),
    inference(cnf_transformation,[],[e_3_then_e_4]) ).

cnf('48',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],['45','46','47']) ).

cnf('49',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,[],['48','23']) ).

cnf('50',plain,
    greater(e_5,e_4),
    inference(cnf_transformation,[],[e_5_greater_e_4]) ).

cnf('51',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],['49','50','47']) ).

cnf('52',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,[],['51','34']) ).

cnf('53',plain,
    ~ equalish(e_5,e_3),
    inference(cnf_transformation,[],[e_5_is_not_e_3]) ).

cnf('54',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_1)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_4)
    | 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_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['42','52','53']) ).

cnf('55',plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[],[e_4_is_not_e_3]) ).

cnf('56',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_1)
    | product(e_3,e_1,e_3)
    | product(e_2,e_1,e_4)
    | 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],['54','52','55']) ).

cnf('57',plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[],[e_3_is_not_e_2]) ).

cnf('58',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_1)
    | product(e_2,e_1,e_4)
    | 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],['56','35','57']) ).

cnf('59',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_1)
    | product(e_2,e_1,e_4)
    | 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_2,e_1,X)
    | ~ product(e_1,X,e_3) ),
    inference(resolution,[],['58','8']) ).

cnf('60',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_1)
    | product(e_2,e_1,e_4)
    | 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(X,e_1,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['58','34']) ).

cnf('61',plain,
    group_element(e_5),
    inference(cnf_transformation,[],[element_5]) ).

cnf('62',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','61']) ).

cnf('63',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,[],['62','2']) ).

cnf('64',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,[],['63','6']) ).

cnf('65',plain,
    ~ equalish(e_4,e_5),
    inference(cnf_transformation,[],[e_4_is_not_e_5]) ).

cnf('66',plain,
    ( product(e_1,e_4,e_1)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_5,e_4)
    | product(e_1,e_4,e_5)
    | product(e_1,e_5,e_5) ),
    inference(resolution,[then_simplify],['64','17','65']) ).

cnf('67',plain,
    ~ equalish(e_1,e_5),
    inference(cnf_transformation,[],[e_1_is_not_e_5]) ).

cnf('68',plain,
    ( product(e_1,e_4,e_1)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_5,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['66','40','67']) ).

cnf('69',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,[],['3','15']) ).

cnf('70',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,[],['69','23']) ).

cnf('71',plain,
    greater(e_6,e_5),
    inference(cnf_transformation,[],[e_6_greater_e_5]) ).

cnf('72',plain,
    next(e_4,e_5),
    inference(cnf_transformation,[],[e_4_then_e_5]) ).

cnf('73',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],['70','71','72']) ).

cnf('74',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_5,e_1,X)
    | ~ product(e_1,X,e_4) ),
    inference(resolution,[],['73','8']) ).

cnf('75',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5)
    | product(e_5,e_1,e_5) ),
    inference(resolution,[],['68','74']) ).

cnf('76',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_5)
    | equalish(X,e_4) ),
    inference(resolution,[],['73','34']) ).

cnf('77',plain,
    ~ equalish(e_5,e_4),
    inference(cnf_transformation,[],[e_5_is_not_e_4]) ).

cnf('78',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['75','76','77']) ).

cnf('79',plain,
    ~ equalish(e_1,e_4),
    inference(cnf_transformation,[],[e_1_is_not_e_4]) ).

cnf('80',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['78','11','79']) ).

cnf('81',plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[],[e_4_is_not_e_2]) ).

cnf('82',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['80','35','81']) ).

cnf('83',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_1,e_4,e_1)
    | product(e_2,e_1,e_4)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['60','82','55']) ).

cnf('84',plain,
    ~ equalish(e_4,e_1),
    inference(cnf_transformation,[],[e_4_is_not_e_1]) ).

cnf('85',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_1)
    | product(e_2,e_1,e_4)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['83','40','84']) ).

cnf('86',plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[],[e_3_is_not_e_1]) ).

cnf('87',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_1,e_4)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['85','40','86']) ).

cnf('88',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(U,Z) ),
    inference(cnf_transformation,[],[product_total_function2]) ).

cnf('89',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,[],['33','88']) ).

cnf('90',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['87','89','55']) ).

cnf('91',plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[],[e_1_is_not_e_2]) ).

cnf('92',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['90','11','91']) ).

cnf('93',plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[],[e_2_is_not_e_1]) ).

cnf('94',plain,
    ( product(e_1,e_4,e_1)
    | 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)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['92','40','93']) ).

cnf('95',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_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_1,e_5)
    | product(e_1,e_5,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,[],['59','94']) ).

cnf('96',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_2,e_1,e_5)
    | product(e_1,e_5,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],['95','40','86']) ).

cnf('97',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_1,e_4)
    | 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_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['96','89','53']) ).

cnf('98',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | 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_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['97','89','55']) ).

cnf('99',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | 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_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['98','11','91']) ).

cnf('100',plain,
    ( product(e_1,e_4,e_1)
    | 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_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[then_simplify],['99','40','93']) ).

cnf('101',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,X)
    | ~ product(e_1,X,e_2) ),
    inference(resolution,[],['33','8']) ).

cnf('102',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_5,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_3,e_1,e_5)
    | product(e_1,e_4,e_4)
    | product(e_1,e_4,e_5) ),
    inference(resolution,[],['100','101']) ).

cnf('103',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_1)
    | product(e_2,e_1,e_4)
    | 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_3,e_1,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['58','88']) ).

cnf('104',plain,
    ~ equalish(e_5,e_2),
    inference(cnf_transformation,[],[e_5_is_not_e_2]) ).

cnf('105',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_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_5,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) ),
    inference(resolution,[then_simplify],['102','103','104']) ).

cnf('106',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_1,e_4)
    | product(e_1,e_5,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) ),
    inference(resolution,[then_simplify],['105','40','86']) ).

cnf('107',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_5,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) ),
    inference(resolution,[then_simplify],['106','89','55']) ).

cnf('108',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_5,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) ),
    inference(resolution,[then_simplify],['107','11','91']) ).

cnf('109',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_5,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) ),
    inference(resolution,[then_simplify],['108','40','93']) ).

cnf('110',plain,
    ~ equalish(e_5,e_1),
    inference(cnf_transformation,[],[e_5_is_not_e_1]) ).

cnf('111',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) ),
    inference(resolution,[then_simplify],['109','11','110']) ).

cnf('112',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_5,e_1,e_6) ),
    inference(resolution,[],['3','61']) ).

cnf('113',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | product(e_6,e_1,X)
    | ~ product(e_1,X,e_5) ),
    inference(resolution,[],['112','8']) ).

cnf('114',plain,
    ( product(e_1,e_4,e_1)
    | product(e_5,e_1,e_1)
    | product(e_1,e_4,e_2)
    | product(e_5,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_5,e_1,e_3)
    | product(e_1,e_4,e_4)
    | product(e_5,e_1,e_4)
    | product(e_6,e_1,e_4)
    | product(e_5,e_1,e_5) ),
    inference(resolution,[],['111','113']) ).

cnf('115',plain,
    ~ equalish(e_6,e_3),
    inference(cnf_transformation,[],[e_6_is_not_e_3]) ).

cnf('116',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_5,e_1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_5,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_5,e_1,e_3)
    | product(e_1,e_4,e_4)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5) ),
    inference(resolution,[then_simplify],['114','52','115']) ).

cnf('117',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_5,e_1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_5,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_5,e_1,e_3)
    | product(e_1,e_4,e_4)
    | product(e_5,e_1,e_4) ),
    inference(resolution,[then_simplify],['116','11','67']) ).

cnf('118',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_5,e_1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_5,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_5,e_1,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['117','52','53']) ).

cnf('119',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_1)
    | product(e_5,e_1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_5,e_1,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['118','35','104']) ).

cnf('120',plain,
    ( product(e_6,e_1,e_1)
    | product(e_6,e_1,e_2)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4)
    | ~ product(X,e_1,e_5)
    | equalish(X,e_6) ),
    inference(resolution,[],['13','34']) ).

cnf('121',plain,
    ~ equalish(e_4,e_6),
    inference(cnf_transformation,[],[e_4_is_not_e_6]) ).

cnf('122',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_6,e_1,e_2)
    | product(e_4,e_1,e_4)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4) ),
    inference(resolution,[then_simplify],['73','120','121']) ).

cnf('123',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_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_6,e_1,e_2)
    | product(e_4,e_1,e_4)
    | product(e_6,e_1,e_3) ),
    inference(resolution,[then_simplify],['122','52','115']) ).

cnf('124',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_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_6,e_1,e_2)
    | product(e_4,e_1,e_4) ),
    inference(resolution,[then_simplify],['123','35','36']) ).

cnf('125',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_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_6) ),
    inference(resolution,[],['124','34']) ).

cnf('126',plain,
    ~ equalish(e_5,e_6),
    inference(cnf_transformation,[],[e_5_is_not_e_6]) ).

cnf('127',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_1,e_4,e_1)
    | product(e_5,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['119','125','126']) ).

cnf('128',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_1,e_4,e_1)
    | product(e_5,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['127','40','41']) ).

cnf('129',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_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_4,e_1,e_4)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['128','40','110']) ).

cnf('130',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_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['129','52','55']) ).

cnf('131',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_1,e_4,e_1)
    | product(e_4,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)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['130','35','81']) ).

cnf('132',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_1)
    | product(e_5,e_1,e_1)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_5) ),
    inference(resolution,[],['119','34']) ).

cnf('133',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_1,e_4,e_1)
    | product(e_5,e_1,e_1)
    | product(e_3,e_1,e_3)
    | 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],['131','132','65']) ).

cnf('134',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_1,e_4,e_1)
    | product(e_3,e_1,e_3)
    | 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],['133','40','110']) ).

cnf('135',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_1)
    | product(e_3,e_1,e_3)
    | 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],['134','40','84']) ).

cnf('136',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_1)
    | 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],['135','35','57']) ).

cnf('137',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','43']) ).

cnf('138',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_1,e_3,e_6) ),
    inference(resolution,[],['137','2']) ).

cnf('139',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_1,e_3,e_4)
    | product(e_6,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5)
    | product(e_6,e_1,e_3)
    | product(e_6,e_1,e_4) ),
    inference(resolution,[],['14','138']) ).

cnf('140',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_1,e_3,e_4)
    | product(e_6,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5)
    | product(e_6,e_1,e_3)
    | product(e_4,e_1,X)
    | ~ product(e_1,X,e_6) ),
    inference(resolution,[],['139','8']) ).

cnf('141',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_6,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5)
    | product(e_6,e_1,e_3) ),
    inference(resolution,[],['140','138']) ).

cnf('142',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_6,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['141','35','36']) ).

cnf('143',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_6) ),
    inference(resolution,[],['142','34']) ).

cnf('144',plain,
    ~ equalish(e_3,e_6),
    inference(cnf_transformation,[],[e_3_is_not_e_6]) ).

cnf('145',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_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_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['136','143','144']) ).

cnf('146',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_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_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_4,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['145','40','41']) ).

cnf('147',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_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_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['146','35','104']) ).

cnf('148',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_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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['147','35','81']) ).

cnf('149',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['148','40','86']) ).

cnf('150',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['149','11','91']) ).

cnf('151',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['150','40','93']) ).

cnf('152',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['151','40','79']) ).

cnf('153',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3)
    | product(e_4,e_1,X)
    | ~ product(e_1,X,e_3) ),
    inference(resolution,[],['51','8']) ).

cnf('154',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['152','153']) ).

cnf('155',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['154','52','55']) ).

cnf('156',plain,
    ~ equalish(e_1,e_3),
    inference(cnf_transformation,[],[e_1_is_not_e_3]) ).

cnf('157',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | 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_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['155','11','156']) ).

cnf('158',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_6,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5)
    | product(e_3,e_1,X)
    | ~ product(e_1,X,e_6) ),
    inference(resolution,[],['141','8']) ).

cnf('159',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_6,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['158','138']) ).

cnf('160',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_6) ),
    inference(resolution,[],['159','34']) ).

cnf('161',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['157','160','144']) ).

cnf('162',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['161','40','41']) ).

cnf('163',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_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['162','35','104']) ).

cnf('164',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_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['163','35','81']) ).

cnf('165',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_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_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['164','35','57']) ).

cnf('166',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['165','40','86']) ).

cnf('167',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['166','11','91']) ).

cnf('168',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['167','40','93']) ).

cnf('169',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['168','101']) ).

cnf('170',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_3,e_6)
    | equalish(X,e_1) ),
    inference(resolution,[],['138','34']) ).

cnf('171',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,[],['137','15']) ).

cnf('172',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_1,e_3,e_4)
    | product(e_4,e_3,e_2)
    | product(e_1,e_3,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4)
    | product(e_4,e_3,e_5) ),
    inference(resolution,[then_simplify],['170','171','84']) ).

cnf('173',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,[],['73','6']) ).

cnf('174',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_4)
    | product(e_1,e_3,e_5)
    | product(e_4,e_3,e_3)
    | product(e_4,e_3,e_4) ),
    inference(resolution,[then_simplify],['172','173','86']) ).

cnf('175',plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[],[e_3_is_not_e_4]) ).

cnf('176',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_4)
    | product(e_1,e_3,e_5)
    | product(e_4,e_3,e_3) ),
    inference(resolution,[then_simplify],['174','11','175']) ).

cnf('177',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_3,e_2)
    | product(e_4,e_1,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['176','40','55']) ).

cnf('178',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_3,e_5)
    | product(e_2,e_3,X)
    | ~ product(e_3,X,e_4) ),
    inference(resolution,[],['177','8']) ).

cnf('179',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_3,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[],['169','178']) ).

cnf('180',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_2,e_4,X)
    | ~ product(e_4,X,e_1) ),
    inference(resolution,[],['168','8']) ).

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

cnf('182',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(X,e_1,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['169','34']) ).

cnf('183',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_4,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['181','182','55']) ).

cnf('184',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_4,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['183','35','81']) ).

cnf('185',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['184','143','121']) ).

cnf('186',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_2,e_4,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['185','40','41']) ).

cnf('187',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_4,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['186','35','104']) ).

cnf('188',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_4,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['187','35','81']) ).

cnf('189',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_4,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['188','40','84']) ).

cnf('190',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,[],['33','6']) ).

cnf('191',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['189','190','84']) ).

cnf('192',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','4']) ).

cnf('193',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,[],['192','2']) ).

cnf('194',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],['193','40','12']) ).

cnf('195',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_1,e_6,e_3)
    | product(e_5,e_1,e_5)
    | product(e_1,e_6,e_4)
    | product(e_6,e_1,e_6) ),
    inference(resolution,[],['113','194']) ).

cnf('196',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5)
    | ~ product(X,e_1,e_6)
    | equalish(X,e_5) ),
    inference(resolution,[],['112','34']) ).

cnf('197',plain,
    ~ equalish(e_6,e_5),
    inference(cnf_transformation,[],[e_6_is_not_e_5]) ).

cnf('198',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_1,e_6,e_3)
    | product(e_5,e_1,e_5)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['195','196','197']) ).

cnf('199',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_1,e_6,e_2)
    | product(e_5,e_1,e_4)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['198','11','67']) ).

cnf('200',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | product(e_4,e_1,X)
    | ~ product(e_1,X,e_5) ),
    inference(resolution,[],['199','8']) ).

cnf('201',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_5,e_1,e_3)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_1,e_6)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[],['200','194']) ).

cnf('202',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,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_4,e_1,e_6)
    | product(e_1,e_6,e_4)
    | product(e_3,e_1,X)
    | ~ product(e_1,X,e_5) ),
    inference(resolution,[],['201','8']) ).

cnf('203',plain,
    ( product(e_5,e_1,e_1)
    | product(e_5,e_1,e_2)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_4,e_1,e_6)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[],['202','194']) ).

cnf('204',plain,
    ( product(e_5,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_4,e_1,e_6)
    | product(e_1,e_6,e_4)
    | product(e_2,e_1,X)
    | ~ product(e_1,X,e_5) ),
    inference(resolution,[],['203','8']) ).

cnf('205',plain,
    ( product(e_5,e_1,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_4,e_1,e_6)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[],['204','194']) ).

cnf('206',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_4,e_1,e_6)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['205','40','110']) ).

cnf('207',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | ~ greater(e_6,X)
    | ~ next(e_4,X) ),
    inference(resolution,[],['206','23']) ).

cnf('208',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4) ),
    inference(resolution,[then_simplify],['207','71','72']) ).

cnf('209',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_6,e_4)
    | ~ greater(e_6,X)
    | ~ next(e_3,X) ),
    inference(resolution,[],['208','23']) ).

cnf('210',plain,
    ( product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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],['209','46','47']) ).

cnf('211',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],['210','89','115']) ).

cnf('212',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],['211','11','91']) ).

cnf('213',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],['212','40','93']) ).

cnf('214',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,[],['192','21']) ).

cnf('215',plain,
    ~ equalish(e_2,e_6),
    inference(cnf_transformation,[],[e_2_is_not_e_6]) ).

cnf('216',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,[then_simplify],['214','40','215']) ).

cnf('217',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_5)
    | equalish(X,e_2) ),
    inference(resolution,[],['216','34']) ).

cnf('218',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,[],['192','43']) ).

cnf('219',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,[then_simplify],['218','40','144']) ).

cnf('220',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],['217','219','57']) ).

cnf('221',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,[],['220','34']) ).

cnf('222',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],['213','221','156']) ).

cnf('223',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) ),
    inference(resolution,[then_simplify],['222','11','115']) ).

cnf('224',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_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_2,e_6,X)
    | ~ product(e_6,X,e_3) ),
    inference(resolution,[],['223','8']) ).

cnf('225',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,[],['192','61']) ).

cnf('226',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,[then_simplify],['225','40','126']) ).

cnf('227',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) ),
    inference(resolution,[then_simplify],['226','11','197']) ).

cnf('228',plain,
    ( product(e_5,e_6,e_1)
    | 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,[],['227','34']) ).

cnf('229',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_5,e_6,e_3) ),
    inference(resolution,[then_simplify],['213','228','67']) ).

cnf('230',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_5,e_6,e_1)
    | product(e_5,e_6,e_2)
    | product(e_3,e_6,X)
    | ~ product(e_6,X,e_5) ),
    inference(resolution,[],['229','8']) ).

cnf('231',plain,
    ( product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5)
    | product(e_6,e_4,e_6) ),
    inference(resolution,[],['16','4']) ).

cnf('232',plain,
    ( product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_6,e_4,e_3)
    | product(e_6,e_4,e_4)
    | product(e_6,e_4,e_5) ),
    inference(resolution,[then_simplify],['231','11','121']) ).

cnf('233',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_5,e_6,e_1)
    | product(e_6,e_4,e_3)
    | product(e_5,e_6,e_2)
    | product(e_3,e_6,e_4)
    | product(e_6,e_4,e_4) ),
    inference(resolution,[],['230','232']) ).

cnf('234',plain,
    ~ equalish(e_6,e_4),
    inference(cnf_transformation,[],[e_6_is_not_e_4]) ).

cnf('235',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_6,e_4,e_1)
    | product(e_6,e_4,e_2)
    | product(e_5,e_6,e_1)
    | product(e_6,e_4,e_3)
    | product(e_5,e_6,e_2)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[then_simplify],['233','40','234']) ).

cnf('236',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_6,e_4,e_1)
    | product(e_2,e_6,e_3)
    | product(e_6,e_4,e_2)
    | product(e_5,e_6,e_1)
    | product(e_2,e_6,e_4)
    | product(e_5,e_6,e_2)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[],['224','235']) ).

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_2,e_6,e_4)
    | product(e_5,e_6,X)
    | ~ product(e_6,X,e_2) ),
    inference(resolution,[],['216','8']) ).

cnf('238',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_6,e_4,e_1)
    | 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_3,e_6,e_4)
    | product(e_5,e_6,e_4) ),
    inference(resolution,[],['236','237']) ).

cnf('239',plain,
    ( product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_4,e_6,X)
    | ~ product(e_6,X,e_1) ),
    inference(resolution,[],['213','8']) ).

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_3,e_6,e_1)
    | 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_3,e_6,e_4)
    | product(e_4,e_6,e_4)
    | product(e_5,e_6,e_4) ),
    inference(resolution,[],['238','239']) ).

cnf('241',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,[],['213','34']) ).

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_3,e_6,e_1)
    | 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_3,e_6,e_4)
    | product(e_4,e_6,e_4) ),
    inference(resolution,[then_simplify],['240','241','110']) ).

cnf('243',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_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(X,e_6,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['223','34']) ).

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_3,e_6,e_1)
    | 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_3,e_6,e_4)
    | product(e_4,e_6,e_4) ),
    inference(resolution,[then_simplify],['242','243','53']) ).

cnf('245',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_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | product(e_3,e_6,e_4)
    | product(e_4,e_6,e_4)
    | ~ product(X,e_6,e_1)
    | equalish(X,e_5) ),
    inference(resolution,[],['244','34']) ).

cnf('246',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_5,e_1,e_6) ),
    inference(resolution,[],['213','74']) ).

cnf('247',plain,
    ( product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | product(e_5,e_4,e_6) ),
    inference(resolution,[],['16','61']) ).

cnf('248',plain,
    ( product(e_5,e_4,e_1)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5)
    | ~ product(e_5,X,e_6)
    | equalish(X,e_4) ),
    inference(resolution,[],['247','6']) ).

cnf('249',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_5,e_4,e_1)
    | product(e_1,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4)
    | product(e_5,e_4,e_5) ),
    inference(resolution,[then_simplify],['246','248','79']) ).

cnf('250',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_5,e_4,e_1)
    | product(e_1,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3)
    | product(e_5,e_4,e_4) ),
    inference(resolution,[then_simplify],['249','11','65']) ).

cnf('251',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_5,e_4,e_1)
    | product(e_1,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_5,e_4,e_3) ),
    inference(resolution,[then_simplify],['250','40','77']) ).

cnf('252',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_5,e_4,e_1)
    | product(e_1,e_6,e_3)
    | product(e_5,e_4,e_2)
    | product(e_3,e_4,X)
    | ~ product(e_4,X,e_5) ),
    inference(resolution,[],['251','8']) ).

cnf('253',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_5,e_4,e_1)
    | product(e_1,e_6,e_3)
    | product(e_5,e_4,e_2) ),
    inference(resolution,[],['252','73']) ).

cnf('254',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_5,e_4,e_1)
    | product(e_1,e_6,e_3)
    | product(e_2,e_4,X)
    | ~ product(e_4,X,e_5) ),
    inference(resolution,[],['253','8']) ).

cnf('255',plain,
    ( 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_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_5,e_4,e_1)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['254','73']) ).

cnf('256',plain,
    ( 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_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_4,X)
    | ~ product(e_4,X,e_5) ),
    inference(resolution,[],['255','8']) ).

cnf('257',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,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_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['256','73']) ).

cnf('258',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,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_3,e_4,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],['257','11','79']) ).

cnf('259',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,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_3,e_1,X)
    | ~ product(e_1,X,e_4) ),
    inference(resolution,[],['258','8']) ).

cnf('260',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['259','213']) ).

cnf('261',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_2,e_1,X)
    | ~ product(e_1,X,e_4) ),
    inference(resolution,[],['260','8']) ).

cnf('262',plain,
    ( product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['261','213']) ).

cnf('263',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['262','40','84']) ).

cnf('264',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | product(e_1,e_4,X)
    | ~ product(e_4,X,e_3) ),
    inference(resolution,[],['263','8']) ).

cnf('265',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,[],['192','15']) ).

cnf('266',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,[then_simplify],['265','40','121']) ).

cnf('267',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],['217','266','81']) ).

cnf('268',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) ),
    inference(resolution,[then_simplify],['267','11','234']) ).

cnf('269',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | 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_1,e_4,e_6)
    | product(e_4,e_6,e_2)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[],['264','268']) ).

cnf('270',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_1,e_6)
    | 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_1,e_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['269','243','55']) ).

cnf('271',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4)
    | product(e_3,e_6,e_4)
    | product(e_4,e_6,e_4) ),
    inference(resolution,[then_simplify],['245','270','65']) ).

cnf('272',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4)
    | product(e_3,e_6,e_4) ),
    inference(resolution,[then_simplify],['271','241','84']) ).

cnf('273',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_6,e_1)
    | product(e_3,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['272','241','86']) ).

cnf('274',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | product(e_1,e_6,e_3)
    | ~ product(e_3,X,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['263','6']) ).

cnf('275',plain,
    ( product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_3,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['273','274','234']) ).

cnf('276',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,[],['51','88']) ).

cnf('277',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_3,e_1,e_3)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['275','276','234']) ).

cnf('278',plain,
    ( product(e_3,e_1,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['277','11','156']) ).

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_2,e_6,e_3)
    | product(e_2,e_6,e_4)
    | ~ product(e_3,X,e_2)
    | equalish(X,e_6) ),
    inference(resolution,[],['223','6']) ).

cnf('280',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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_2,e_6,e_3)
    | product(e_1,e_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['278','279','12']) ).

cnf('281',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,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],['258','35','81']) ).

cnf('282',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,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,e_1,X)
    | ~ product(e_1,X,e_4) ),
    inference(resolution,[],['281','8']) ).

cnf('283',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['282','213']) ).

cnf('284',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_3,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['283','40','84']) ).

cnf('285',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | ~ product(e_3,X,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['284','6']) ).

cnf('286',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_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['280','285','234']) ).

cnf('287',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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_4,e_6)
    | product(e_2,e_6,e_4) ),
    inference(resolution,[then_simplify],['286','40','86']) ).

cnf('288',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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_4,e_6) ),
    inference(resolution,[then_simplify],['287','241','93']) ).

cnf('289',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | 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_4,e_6) ),
    inference(resolution,[then_simplify],['288','190','41']) ).

cnf('290',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['289','11','36']) ).

cnf('291',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_2,e_4,e_1)
    | product(e_1,e_6,e_1)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_1,e_4,e_6)
    | ~ product(e_2,X,e_1)
    | equalish(X,e_6) ),
    inference(resolution,[],['290','6']) ).

cnf('292',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_1,e_6,e_3)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['191','291','144']) ).

cnf('293',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(e_2,X,e_1)
    | equalish(X,e_3) ),
    inference(resolution,[],['191','6']) ).

cnf('294',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_2,e_1,e_6)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_1,e_6,e_3)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['292','293','55']) ).

cnf('295',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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_1,e_6,e_3)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['294','89','115']) ).

cnf('296',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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_1,e_6,e_3)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['295','11','91']) ).

cnf('297',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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_1,e_6,e_3)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['296','40','93']) ).

cnf('298',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(e_1,X,e_6)
    | equalish(X,e_3) ),
    inference(resolution,[],['138','6']) ).

cnf('299',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5)
    | product(e_1,e_5,e_4)
    | product(e_1,e_5,e_5) ),
    inference(resolution,[then_simplify],['298','63','53']) ).

cnf('300',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5)
    | product(e_1,e_5,e_4) ),
    inference(resolution,[then_simplify],['299','40','67']) ).

cnf('301',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5)
    | product(e_5,e_1,e_5) ),
    inference(resolution,[],['300','74']) ).

cnf('302',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['301','76','77']) ).

cnf('303',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['302','11','79']) ).

cnf('304',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['303','35','81']) ).

cnf('305',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_6,e_1,e_1)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['143','304','121']) ).

cnf('306',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['305','40','41']) ).

cnf('307',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['306','35','104']) ).

cnf('308',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['307','35','81']) ).

cnf('309',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['308','40','84']) ).

cnf('310',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['309','11','91']) ).

cnf('311',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_5,e_3)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['310','40','93']) ).

cnf('312',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_5,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_5) ),
    inference(resolution,[],['311','6']) ).

cnf('313',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_3,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['297','312','197']) ).

cnf('314',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_4) ),
    inference(resolution,[],['168','6']) ).

cnf('315',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['313','314','234']) ).

cnf('316',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_5,e_2)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['315','11','41']) ).

cnf('317',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['316','314','77']) ).

cnf('318',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5)
    | product(e_1,e_4,e_6) ),
    inference(resolution,[then_simplify],['317','11','110']) ).

cnf('319',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['318','298','55']) ).

cnf('320',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_3,e_5) ),
    inference(resolution,[then_simplify],['319','11','84']) ).

cnf('321',plain,
    ( product(e_4,e_1,e_1)
    | product(e_4,e_1,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3)
    | product(e_6,e_1,X)
    | ~ product(e_1,X,e_5) ),
    inference(resolution,[],['246','8']) ).

cnf('322',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_6,e_1,e_3)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[],['320','321']) ).

cnf('323',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2)
    | product(e_1,e_6,e_3) ),
    inference(resolution,[then_simplify],['322','35','36']) ).

cnf('324',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | 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_6,e_3) ),
    inference(resolution,[then_simplify],['323','11','79']) ).

cnf('325',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | 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_6,e_3) ),
    inference(resolution,[then_simplify],['324','35','81']) ).

cnf('326',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,X,e_5)
    | equalish(X,e_4) ),
    inference(resolution,[],['111','6']) ).

cnf('327',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['320','326','175']) ).

cnf('328',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['327','40','79']) ).

cnf('329',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4) ),
    inference(resolution,[],['328','153']) ).

cnf('330',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['329','52','55']) ).

cnf('331',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | 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_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['330','11','156']) ).

cnf('332',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_2,e_1,X)
    | ~ product(e_1,X,e_3) ),
    inference(resolution,[],['331','8']) ).

cnf('333',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[],['332','328']) ).

cnf('334',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_1,e_4)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['333','40','86']) ).

cnf('335',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['334','89','55']) ).

cnf('336',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['335','11','91']) ).

cnf('337',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['336','40','93']) ).

cnf('338',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_1,e_4)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[],['337','101']) ).

cnf('339',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | ~ product(X,e_1,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['338','34']) ).

cnf('340',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_5,e_1,e_2)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_6,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5) ),
    inference(resolution,[],['320','113']) ).

cnf('341',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_5,e_1,e_2)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4)
    | product(e_5,e_1,e_5) ),
    inference(resolution,[then_simplify],['340','35','36']) ).

cnf('342',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_5,e_1,e_2)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3)
    | product(e_5,e_1,e_4) ),
    inference(resolution,[then_simplify],['341','11','67']) ).

cnf('343',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_5,e_1,e_2)
    | product(e_1,e_3,e_4)
    | product(e_5,e_1,e_3) ),
    inference(resolution,[then_simplify],['339','342','53']) ).

cnf('344',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_5,e_1,e_2)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['343','35','104']) ).

cnf('345',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_5) ),
    inference(resolution,[],['344','34']) ).

cnf('346',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | 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_6,e_3) ),
    inference(resolution,[then_simplify],['325','345','65']) ).

cnf('347',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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_6,e_3) ),
    inference(resolution,[then_simplify],['346','40','110']) ).

cnf('348',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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_6,e_3) ),
    inference(resolution,[then_simplify],['347','40','84']) ).

cnf('349',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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_6,e_3) ),
    inference(resolution,[then_simplify],['348','11','91']) ).

cnf('350',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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_6,e_3) ),
    inference(resolution,[then_simplify],['349','40','93']) ).

cnf('351',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,X)
    | ~ product(e_1,X,e_3) ),
    inference(resolution,[],['338','8']) ).

cnf('352',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2)
    | product(e_4,e_1,e_6) ),
    inference(resolution,[],['350','351']) ).

cnf('353',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,X)
    | equalish(X,e_5) ),
    inference(resolution,[],['73','88']) ).

cnf('354',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_4,e_1,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['352','353','197']) ).

cnf('355',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['354','339','55']) ).

cnf('356',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['355','35','81']) ).

cnf('357',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_5,e_1,e_1)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['356','345','65']) ).

cnf('358',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['357','40','110']) ).

cnf('359',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['358','40','84']) ).

cnf('360',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['359','11','91']) ).

cnf('361',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['360','40','93']) ).

cnf('362',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_4) ),
    inference(resolution,[],['337','6']) ).

cnf('363',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['361','362','234']) ).

cnf('364',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['363','11','41']) ).

cnf('365',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_3,e_4) ),
    inference(resolution,[then_simplify],['364','11','84']) ).

cnf('366',plain,
    ( product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_5,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(resolution,[],['365','74']) ).

cnf('367',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3)
    | product(e_4,e_1,e_4) ),
    inference(resolution,[then_simplify],['366','35','104']) ).

cnf('368',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_3) ),
    inference(resolution,[then_simplify],['367','11','79']) ).

cnf('369',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_4,e_1,e_2)
    | product(e_1,e_3,e_3) ),
    inference(resolution,[then_simplify],['368','35','81']) ).

cnf('370',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_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_3) ),
    inference(resolution,[],['136','34']) ).

cnf('371',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_1)
    | product(e_4,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['369','370','55']) ).

cnf('372',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_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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['371','40','84']) ).

cnf('373',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['372','40','86']) ).

cnf('374',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['373','11','91']) ).

cnf('375',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3)
    | product(e_1,e_4,e_4) ),
    inference(resolution,[then_simplify],['374','40','93']) ).

cnf('376',plain,
    ( product(e_1,e_3,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_3,e_3)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[then_simplify],['375','40','79']) ).

cnf('377',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,e_4) ),
    inference(resolution,[],['376','153']) ).

cnf('378',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_3,e_1,e_3)
    | product(e_1,e_4,e_2)
    | product(e_1,e_3,e_3) ),
    inference(resolution,[then_simplify],['377','52','55']) ).

cnf('379',plain,
    ( product(e_3,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_2)
    | 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_3,e_3) ),
    inference(resolution,[then_simplify],['378','11','156']) ).

cnf('380',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_4) ),
    inference(resolution,[],['369','34']) ).

cnf('381',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_1)
    | product(e_4,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_3,e_3) ),
    inference(resolution,[then_simplify],['379','380','175']) ).

cnf('382',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_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_3,e_3) ),
    inference(resolution,[then_simplify],['381','40','84']) ).

cnf('383',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,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_3,e_3) ),
    inference(resolution,[then_simplify],['382','40','86']) ).

cnf('384',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,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_3,e_3) ),
    inference(resolution,[then_simplify],['383','11','91']) ).

cnf('385',plain,
    ( product(e_1,e_3,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_3,e_3) ),
    inference(resolution,[then_simplify],['384','40','93']) ).

cnf('386',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_3,e_1,e_4) ),
    inference(resolution,[],['385','101']) ).

cnf('387',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_4,e_1,X)
    | ~ product(e_1,X,e_3) ),
    inference(resolution,[],['386','8']) ).

cnf('388',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,X,e_4)
    | equalish(X,e_6) ),
    inference(resolution,[],['213','6']) ).

cnf('389',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | 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],['365','388','144']) ).

cnf('390',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2)
    | product(e_4,e_1,e_6) ),
    inference(resolution,[],['387','389']) ).

cnf('391',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | ~ product(e_4,e_1,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['369','88']) ).

cnf('392',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_4,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['390','391','36']) ).

cnf('393',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['392','40','84']) ).

cnf('394',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['393','11','91']) ).

cnf('395',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1)
    | product(e_1,e_6,e_2) ),
    inference(resolution,[then_simplify],['394','40','93']) ).

cnf('396',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_4) ),
    inference(resolution,[],['385','6']) ).

cnf('397',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_1,e_6,e_1) ),
    inference(resolution,[then_simplify],['395','396','234']) ).

cnf('398',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(resolution,[then_simplify],['397','11','41']) ).

cnf('399',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3) ),
    inference(resolution,[then_simplify],['398','11','84']) ).

cnf('400',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2) ),
    inference(resolution,[then_simplify],['399','40','156']) ).

cnf('401',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_3,e_1,e_3) ),
    inference(resolution,[],['400','101']) ).

cnf('402',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1) ),
    inference(resolution,[then_simplify],['401','35','57']) ).

cnf('403',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_3,e_1) ),
    inference(resolution,[then_simplify],['402','11','91']) ).

cnf('404',plain,
    product(e_1,e_3,e_1),
    inference(resolution,[then_simplify],['403','40','93']) ).

cnf('405',plain,
    $false,
    inference(resolution,[then_simplify],['404','11','86']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command  : gkc %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 23:21:09 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.40  
% 0.21/0.40  input clause set summed statistics:
% 0.21/0.40  ----------------------------------
% 0.21/0.40  in_clause_count:                    63
% 0.21/0.40  in_rule_clause_count:               36
% 0.21/0.40  in_fact_clause_count:               27
% 0.21/0.40  in_answer_clause_count:              0
% 0.21/0.40  in_ground_clause_count:             56
% 0.21/0.40  in_unit_clause_count:               57
% 0.21/0.40  in_horn_clause_count:               62
% 0.21/0.40  in_pos_clause_count:                27
% 0.21/0.40  in_neg_clause_count:                31
% 0.21/0.40  in_poseq_clause_count:               0
% 0.21/0.40  in_negeq_clause_count:               0
% 0.21/0.40  in_unitposeq_clause_count:           0
% 0.21/0.40  in_chain_clause_count:               0
% 0.21/0.40  in_min_length:             1
% 0.21/0.40  in_max_length:             8
% 0.21/0.40  in_min_depth:              1
% 0.21/0.40  in_max_depth:              1
% 0.21/0.40  in_min_size:               2
% 0.21/0.40  in_max_size:              28
% 0.21/0.40  in_min_vars:               0
% 0.21/0.40  in_max_vars:               4
% 0.21/0.40  in_extaxiom_count:                 0
% 0.21/0.40  in_axiom_count:                   62
% 0.21/0.40  in_assumption_count:               0
% 0.21/0.40  in_goal_count:                     1
% 0.21/0.40  in_neg_goal_count:                 0
% 0.21/0.40  in_pos_goal_count:                 0
% 0.21/0.40  in_posunit_goal_count:             0
% 0.21/0.40  
% 0.21/0.40  auto guide:
% 0.21/0.40  -----------
% 0.21/0.40  {
% 0.21/0.40  "print":1,
% 0.21/0.40  "print_level": 15,
% 0.21/0.40  "max_size": 0,
% 0.21/0.40  "max_depth": 0,
% 0.21/0.40  "max_length": 0,
% 0.21/0.40  "max_dseconds": 0,
% 0.21/0.40  "equality":0,
% 0.21/0.40  "runs":[
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.21/0.40  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":2},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.21/0.40  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
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% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.40  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.40  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
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% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
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% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.21/0.40  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
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% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
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% 0.21/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40  
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% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.21/0.40  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.21/0.40  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
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% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
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% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.21/0.40  {"sine":2, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.21/0.40  
% 0.21/0.40  ]}
% 0.21/0.40  
% 0.21/0.40  
% 0.21/0.40  **** run 1 fork 0 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 2 fork 1 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 3 fork 2 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 4 fork 3 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 5 fork 4 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.40  
% 0.21/0.40  **** run 6 fork 5 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.40  
% 0.21/0.40  **** run 7 fork 6 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.40  
% 0.21/0.40  **** run 8 fork 7 starts with strategy
% 0.21/0.40  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
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% 0.21/0.49  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
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% 0.21/0.50  **** run 14 fork 5 starts with strategy
% 0.21/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
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% 0.21/0.56  
% 0.21/0.56  **** run 11 fork 2 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.21/0.56  
% 0.21/0.56  **** run 15 fork 6 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.21/0.56  
% 0.21/0.56  **** run 9 fork 0 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.56  
% 0.21/0.56  **** run 12 fork 3 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.21/0.56  
% 0.21/0.56  **** run 10 fork 1 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.56  
% 0.21/0.56  **** run 13 fork 4 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.56  
% 0.21/0.56  **** run 22 fork 5 starts with strategy
% 0.21/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
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% 0.21/0.61  
% 0.21/0.61  **** run 21 fork 4 starts with strategy
% 0.21/0.61  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.21/0.62  
% 0.21/0.62  **** run 24 fork 7 starts with strategy
% 0.21/0.62  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
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% 0.21/0.65  
% 0.21/0.65  **** run 20 fork 3 starts with strategy
% 0.21/0.65  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
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% 0.21/0.70  
% 0.21/0.70  **** run 19 fork 2 starts with strategy
% 0.21/0.70  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.21/0.70  
% 0.21/0.70  **** run 23 fork 6 starts with strategy
% 0.21/0.70  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.21/0.71  
% 0.21/0.71  **** run 17 fork 0 starts with strategy
% 0.21/0.71  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.21/0.71  
% 0.21/0.71  **** run 18 fork 1 starts with strategy
% 0.21/0.71  {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 0.21/0.71  
% 0.21/0.71  **** run 30 fork 5 starts with strategy
% 0.21/0.71  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
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% 0.21/0.75  
% 0.21/0.75  **** run 38 fork 5 starts with strategy
% 0.21/0.75  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
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% 0.21/0.77  **** run 29 fork 4 starts with strategy
% 0.21/0.77  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.21/0.77  
% 0.21/0.77  **** run 32 fork 7 starts with strategy
% 0.21/0.77  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
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% 0.21/0.78  **** run 26 fork 1 starts with strategy
% 0.21/0.78  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.78  
% 0.21/0.78  **** run 31 fork 6 starts with strategy
% 0.21/0.78  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
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% 0.21/0.82  
% 0.21/0.82  **** run 40 fork 7 starts with strategy
% 0.21/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":2}
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% 2.94/0.83  **** run 28 fork 3 starts with strategy
% 2.94/0.83  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
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% 2.94/0.86  
% 2.94/0.86  **** run 25 fork 0 starts with strategy
% 2.94/0.86  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 2.94/0.86  
% 2.94/0.86  **** run 27 fork 2 starts with strategy
% 2.94/0.86  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
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% 2.94/0.87  **** run 36 fork 3 starts with strategy
% 2.94/0.87  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 2.94/0.88  
% 2.94/0.88  **** run 48 fork 7 starts with strategy
% 2.94/0.88  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
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% 3.89/0.89  fork 4: search terminated without proof.
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% 3.89/0.90  
% 3.89/0.90  
% 3.89/0.90  fork 5: search terminated without proof.
% 3.89/0.91  
% 3.89/0.91  
% 3.89/0.91  fork 6: search terminated without proof.
% 3.89/0.91  
% 3.89/0.91  **** run 37 fork 4 starts with strategy
% 3.89/0.91  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 3.89/0.92  
% 3.89/0.92  **** run 34 fork 1 starts with strategy
% 3.89/0.92  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 3.89/0.92  
% 3.89/0.92  **** run 46 fork 5 starts with strategy
% 3.89/0.92  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 3.89/0.92  
% 3.89/0.92  **** run 39 fork 6 starts with strategy
% 3.89/0.92  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.32/0.94  
% 4.32/0.94  fork 4: search finished without proof.
% 4.32/0.96  
% 4.32/0.96  **** run 45 fork 4 starts with strategy
% 4.32/0.96  {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 4.32/0.96  
% 4.32/0.96  fork 6: search finished without proof.
% 4.32/0.98  
% 4.32/0.98  **** run 47 fork 6 starts with strategy
% 4.32/0.98  {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.32/0.98  
% 4.32/0.98  
% 4.32/0.98  fork 0: search terminated without proof.
% 4.32/0.98  
% 4.32/0.98  
% 4.32/0.98  fork 2: search terminated without proof.
% 4.32/0.99  
% 4.32/0.99  fork 4: search finished without proof.
% 4.32/0.99  
% 4.32/0.99  
% 4.32/0.99  fork 3: search terminated without proof.
% 4.32/1.00  
% 4.32/1.00  **** run 33 fork 0 starts with strategy
% 4.32/1.00  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1,"sine":1}
% 4.32/1.00  
% 4.32/1.00  **** run 35 fork 2 starts with strategy
% 4.32/1.00  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 4.32/1.00  
% 4.32/1.00  **** run 53 fork 4 starts with strategy
% 4.32/1.00  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 4.88/1.01  
% 4.88/1.01  **** run 44 fork 3 starts with strategy
% 4.88/1.01  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 4.88/1.03  
% 4.88/1.03  fork 0: search finished without proof.
% 4.88/1.05  
% 4.88/1.05  **** run 41 fork 0 starts with strategy
% 4.88/1.05  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.88/1.05  
% 4.88/1.05  
% 4.88/1.05  fork 1: search terminated without proof.
% 4.88/1.06  
% 4.88/1.06  **** run 42 fork 1 starts with strategy
% 4.88/1.06  {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 5.34/1.09  
% 5.34/1.09  fork 1: search finished without proof.
% 5.34/1.10  
% 5.34/1.10  **** run 50 fork 1 starts with strategy
% 5.34/1.10  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 5.34/1.12  
% 5.34/1.12  fork 2: search finished without proof.
% 5.34/1.13  
% 5.34/1.13  **** run 43 fork 2 starts with strategy
% 5.34/1.13  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 6.05/1.17  
% 6.05/1.17  
% 6.05/1.17  fork 0: search terminated without proof.
% 6.05/1.18  
% 6.05/1.18  **** run 49 fork 0 starts with strategy
% 6.05/1.18  {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 6.28/1.21  
% 6.28/1.21  fork 0: search finished without proof.
% 6.65/1.23  
% 6.65/1.23  **** run 57 fork 0 starts with strategy
% 6.65/1.23  {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 6.73/1.26  
% 6.73/1.26  
% 6.73/1.26  fork 2: search terminated without proof.
% 6.73/1.26  
% 6.73/1.26  fork 0: search finished without proof.
% 6.73/1.27  
% 6.73/1.27  **** run 51 fork 2 starts with strategy
% 6.73/1.27  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 6.73/1.28  
% 6.73/1.28  **** run 65 fork 0 starts with strategy
% 6.73/1.28  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 6.73/1.30  
% 6.73/1.30  fork 2: search finished without proof.
% 7.29/1.32  
% 7.29/1.32  **** run 59 fork 2 starts with strategy
% 7.29/1.32  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 11.87/1.91  
% 11.87/1.91  
% 11.87/1.91  fork 7: search terminated without proof.
% 11.87/1.92  
% 11.87/1.92  **** run 56 fork 7 starts with strategy
% 11.87/1.92  {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 12.08/1.97  
% 12.08/1.97  fork 7: search finished without proof.
% 12.08/1.98  
% 12.08/1.98  **** run 64 fork 7 starts with strategy
% 12.08/1.98  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 12.08/1.99  
% 12.08/1.99  
% 12.08/1.99  fork 5: search terminated without proof.
% 12.08/2.00  
% 12.08/2.00  **** run 54 fork 5 starts with strategy
% 12.08/2.00  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 12.08/2.02  
% 12.08/2.02  
% 12.08/2.02  fork 6: search terminated without proof.
% 12.88/2.03  
% 12.88/2.03  
% 12.88/2.03  fork 4: search terminated without proof.
% 12.88/2.04  
% 12.88/2.04  **** run 55 fork 6 starts with strategy
% 12.88/2.04  {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 12.88/2.05  
% 12.88/2.05  **** run 61 fork 4 starts with strategy
% 12.88/2.05  {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":10}
% 12.88/2.05  
% 12.88/2.05  
% 12.88/2.05  fork 3: search terminated without proof.
% 12.88/2.07  
% 12.88/2.07  **** run 52 fork 3 starts with strategy
% 12.88/2.07  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 12.88/2.08  
% 12.88/2.08  fork 4: search finished without proof.
% 12.88/2.10  
% 12.88/2.10  **** run 69 fork 4 starts with strategy
% 12.88/2.10  {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 12.88/2.11  
% 12.88/2.11  fork 6: search finished without proof.
% 12.88/2.13  
% 12.88/2.13  **** run 63 fork 6 starts with strategy
% 12.88/2.13  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 12.88/2.13  
% 12.88/2.13  
% 12.88/2.13  fork 1: search terminated without proof.
% 12.88/2.15  
% 12.88/2.15  **** run 58 fork 1 starts with strategy
% 12.88/2.15  {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 15.09/2.34  
% 15.09/2.34  
% 15.09/2.34  fork 0: search terminated without proof.
% 15.09/2.35  
% 15.09/2.35  **** run 73 fork 0 starts with strategy
% 15.09/2.35  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 15.09/2.37  
% 15.09/2.37  
% 15.09/2.37  fork 2: search terminated without proof.
% 15.09/2.38  
% 15.09/2.38  fork 0: search finished without proof.
% 15.09/2.39  
% 15.09/2.39  **** run 67 fork 2 starts with strategy
% 15.09/2.39  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 15.09/2.39  
% 15.09/2.39  **** run 81 fork 0 starts with strategy
% 15.09/2.39  {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 20.32/3.02  
% 20.32/3.02  
% 20.32/3.02  fork 7: search terminated without proof.
% 20.32/3.04  
% 20.32/3.04  **** run 72 fork 7 starts with strategy
% 20.32/3.04  {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 20.32/3.08  
% 20.32/3.08  
% 20.32/3.08  fork 5: search terminated without proof.
% 21.11/3.09  
% 21.11/3.09  **** run 62 fork 5 starts with strategy
% 21.11/3.09  {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 21.35/3.12  
% 21.35/3.12  
% 21.35/3.12  fork 3: search terminated without proof.
% 21.35/3.13  
% 21.35/3.13  **** run 60 fork 3 starts with strategy
% 21.35/3.13  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 21.35/3.14  
% 21.35/3.14  
% 21.35/3.14  fork 4: search terminated without proof.
% 21.35/3.15  
% 21.35/3.15  **** run 77 fork 4 starts with strategy
% 21.35/3.15  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 21.35/3.17  
% 21.35/3.17  
% 21.35/3.17  fork 6: search terminated without proof.
% 21.35/3.18  
% 21.35/3.18  **** run 71 fork 6 starts with strategy
% 21.35/3.18  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
% 21.35/3.19  
% 21.35/3.19  
% 21.35/3.19  fork 1: search terminated without proof.
% 22.08/3.21  
% 22.08/3.21  fork 6: search finished without proof.
% 22.08/3.21  
% 22.08/3.21  **** run 66 fork 1 starts with strategy
% 22.08/3.21  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 22.08/3.22  
% 22.08/3.22  **** run 79 fork 6 starts with strategy
% 22.08/3.22  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 22.08/3.24  
% 22.08/3.24  fork 1: search finished without proof.
% 22.08/3.26  
% 22.08/3.26  **** run 74 fork 1 starts with strategy
% 22.08/3.26  {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 23.61/3.43  
% 23.61/3.43  
% 23.61/3.43  fork 0: search terminated without proof.
% 23.61/3.44  
% 23.61/3.44  
% 23.61/3.44  fork 2: search terminated without proof.
% 23.61/3.45  
% 23.61/3.45  **** run 89 fork 0 starts with strategy
% 23.61/3.45  {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 23.61/3.45  
% 23.61/3.45  **** run 75 fork 2 starts with strategy
% 23.61/3.45  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":2}
% 23.61/3.48  
% 23.61/3.48  fork 2: search finished without proof.
% 23.61/3.50  
% 23.61/3.50  **** run 83 fork 2 starts with strategy
% 23.61/3.50  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":2}
% 24.57/3.53  
% 24.57/3.53  fork 2: search finished without proof.
% 24.57/3.55  
% 24.57/3.55  **** run 91 fork 2 starts with strategy
% 24.57/3.55  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 28.84/4.07  
% 28.84/4.07  
% 28.84/4.07  fork 7: search terminated without proof.
% 28.84/4.09  
% 28.84/4.09  **** run 80 fork 7 starts with strategy
% 28.84/4.09  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 28.84/4.12  
% 28.84/4.12  fork 7: search finished without proof.
% 28.84/4.13  
% 28.84/4.13  
% 28.84/4.13  fork 5: search terminated without proof.
% 28.84/4.14  
% 28.84/4.14  **** run 70 fork 5 starts with strategy
% 28.84/4.14  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 28.84/4.15  
% 28.84/4.15  **** run 88 fork 7 starts with strategy
% 28.84/4.15  {"max_dseconds":50,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 28.84/4.18  
% 28.84/4.18  fork 7: search finished without proof.
% 28.84/4.18  
% 28.84/4.18  
% 28.84/4.18  fork 3: search terminated without proof.
% 29.42/4.20  
% 29.42/4.20  **** run 96 fork 7 starts with strategy
% 29.42/4.20  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1}
% 29.42/4.20  
% 29.42/4.20  **** run 68 fork 3 starts with strategy
% 29.42/4.20  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 29.42/4.21  
% 29.42/4.21  
% 29.42/4.21  fork 4: search terminated without proof.
% 30.01/4.23  
% 30.01/4.23  **** run 85 fork 4 starts with strategy
% 30.01/4.23  {"max_dseconds":10,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 30.18/4.25  
% 30.18/4.25  fork 4: search finished without proof.
% 30.18/4.27  
% 30.18/4.27  **** run 93 fork 4 starts with strategy
% 30.18/4.27  {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 30.18/4.27  
% 30.18/4.27  
% 30.18/4.27  fork 6: search terminated without proof.
% 30.18/4.29  
% 30.18/4.29  **** run 87 fork 6 starts with strategy
% 30.18/4.29  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0}
% 30.77/4.32  
% 30.77/4.32  
% 30.77/4.32  fork 1: search terminated without proof.
% 30.77/4.33  
% 30.77/4.33  **** run 82 fork 1 starts with strategy
% 30.77/4.33  {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 30.77/4.37  
% 30.77/4.37  fork 1: search finished without proof.
% 31.19/4.38  
% 31.19/4.38  **** run 90 fork 1 starts with strategy
% 31.19/4.38  {"max_dseconds":50,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 37.32/5.18  
% 37.32/5.18  
% 37.32/5.18  fork 5: search terminated without proof.
% 37.60/5.20  
% 37.60/5.20  **** run 78 fork 5 starts with strategy
% 37.60/5.20  {"max_dseconds":10,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 38.05/5.26  
% 38.05/5.26  
% 38.05/5.26  fork 3: search terminated without proof.
% 38.05/5.28  
% 38.05/5.28  **** run 76 fork 3 starts with strategy
% 38.05/5.28  {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1,"sine":1}
% 38.54/5.31  
% 38.54/5.31  fork 3: search finished without proof.
% 38.54/5.33  
% 38.54/5.33  **** run 84 fork 3 starts with strategy
% 38.54/5.33  {"max_dseconds":10,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 45.22/6.19  
% 45.22/6.19  fork 5: search finished without proof.
% 45.22/6.21  
% 45.22/6.21  **** run 86 fork 5 starts with strategy
% 45.22/6.21  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 46.44/6.38  
% 46.44/6.38  
% 46.44/6.38  fork 3: search terminated without proof.
% 46.44/6.39  
% 46.44/6.39  **** run 92 fork 3 starts with strategy
% 46.44/6.39  {"max_dseconds":50,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 47.24/6.42  
% 47.24/6.42  fork 3: search finished without proof.
% 47.24/6.44  
% 47.24/6.44  **** run 100 fork 3 starts with strategy
% 47.24/6.44  {"max_dseconds":50,"strategy":["unit"],"query_preference":1}
% 47.24/6.47  
% 47.24/6.47  fork 3: search finished without proof.
% 47.24/6.48  
% 47.24/6.48  **** run 108 fork 3 starts with strategy
% 47.24/6.48  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 53.56/7.23  
% 53.56/7.23  
% 53.56/7.23  fork 5: search terminated without proof.
% 53.56/7.25  
% 53.56/7.25  **** run 94 fork 5 starts with strategy
% 53.56/7.25  {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 53.56/7.28  
% 53.56/7.28  fork 5: search finished without proof.
% 53.56/7.29  
% 53.56/7.29  **** run 102 fork 5 starts with strategy
% 53.56/7.29  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":50}
% 64.12/8.59  
% 64.12/8.59  
% 64.12/8.59  fork 0: search terminated without proof.
% 64.12/8.61  
% 64.12/8.61  **** run 97 fork 0 starts with strategy
% 64.12/8.61  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 64.63/8.67  
% 64.63/8.67  
% 64.63/8.67  fork 2: search terminated without proof.
% 64.63/8.69  
% 64.63/8.69  **** run 99 fork 2 starts with strategy
% 64.63/8.69  {"max_dseconds":50,"strategy":["unit"],"query_preference":0}
% 65.28/8.72  
% 65.28/8.72  fork 2: search finished without proof.
% 65.28/8.74  
% 65.28/8.74  **** run 107 fork 2 starts with strategy
% 65.28/8.74  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 70.10/9.35  
% 70.10/9.35  
% 70.10/9.35  fork 7: search terminated without proof.
% 70.10/9.36  
% 70.10/9.36  **** run 104 fork 7 starts with strategy
% 70.10/9.36  {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":50}
% 70.10/9.37  
% 70.10/9.37  
% 70.10/9.37  fork 6: search terminated without proof.
% 70.10/9.37  
% 70.10/9.37  
% 70.10/9.37  fork 4: search terminated without proof.
% 70.10/9.39  
% 70.10/9.39  **** run 95 fork 6 starts with strategy
% 70.10/9.39  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":1}
% 70.10/9.39  
% 70.10/9.39  **** run 101 fork 4 starts with strategy
% 70.10/9.39  {"max_dseconds":50,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 70.10/9.39  
% 70.10/9.39  fork 7: search finished without proof.
% 70.10/9.41  
% 70.10/9.41  **** run 112 fork 7 starts with strategy
% 70.10/9.41  {"max_dseconds":50,"strategy":["hardness_pref"],"query_preference":0}
% 70.71/9.54  
% 70.71/9.54  
% 70.71/9.54  fork 1: search terminated without proof.
% 70.71/9.57  
% 70.71/9.57  **** run 98 fork 1 starts with strategy
% 70.71/9.57  {"max_dseconds":50,"strategy":["query_focus","double"],"query_preference":1}
% 71.61/9.63  
% 71.61/9.63  fork 1: search finished without proof.
% 71.61/9.64  
% 71.61/9.64  **** run 106 fork 1 starts with strategy
% 71.61/9.64  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":50}
% 87.90/11.63  
% 87.90/11.63  
% 87.90/11.63  fork 3: search terminated without proof.
% 87.90/11.65  
% 87.90/11.65  **** run 116 fork 3 starts with strategy
% 87.90/11.65  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":1}
% 87.90/11.67  
% 87.90/11.67  fork 3: search finished without proof.
% 88.32/11.68  
% 88.32/11.68  **** run 124 fork 3 starts with strategy
% 88.32/11.68  {"max_dseconds":50,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 93.77/12.41  
% 93.77/12.41  
% 93.77/12.41  fork 5: search terminated without proof.
% 93.77/12.42  
% 93.77/12.42  **** run 110 fork 5 starts with strategy
% 93.77/12.42  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":50}
% 104.88/13.80  
% 104.88/13.80  
% 104.88/13.80  fork 0: search terminated without proof.
% 104.88/13.81  
% 104.88/13.81  **** run 105 fork 0 starts with strategy
% 104.88/13.81  {"max_dseconds":50,"strategy":["positive_pref"],"query_preference":0}
% 105.72/13.90  
% 105.72/13.90  
% 105.72/13.90  fork 2: search terminated without proof.
% 105.72/13.92  
% 105.72/13.92  **** run 115 fork 2 starts with strategy
% 105.72/13.92  {"max_dseconds":50,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 109.79/14.49  
% 109.79/14.49  
% 109.79/14.49  fork 7: search terminated without proof.
% 110.38/14.51  
% 110.38/14.51  **** run 120 fork 7 starts with strategy
% 110.38/14.51  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 110.38/14.53  
% 110.38/14.53  
% 110.38/14.53  fork 4: search terminated without proof.
% 110.38/14.55  
% 110.38/14.55  
% 110.38/14.55  fork 6: search terminated without proof.
% 110.38/14.55  
% 110.38/14.55  **** run 109 fork 4 starts with strategy
% 110.38/14.55  {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 110.38/14.56  
% 110.38/14.56  **** run 103 fork 6 starts with strategy
% 110.38/14.56  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":50}
% 110.98/14.58  
% 110.98/14.58  fork 4: search finished without proof.
% 110.98/14.59  
% 110.98/14.59  **** run 117 fork 4 starts with strategy
% 110.98/14.59  {"max_dseconds":50,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 111.45/14.76  
% 111.45/14.76  
% 111.45/14.76  fork 1: search terminated without proof.
% 111.45/14.78  
% 111.45/14.78  **** run 114 fork 1 starts with strategy
% 111.45/14.78  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":0}
% 111.45/14.80  
% 111.45/14.80  fork 1: search finished without proof.
% 111.45/14.81  
% 111.45/14.81  **** run 122 fork 1 starts with strategy
% 111.45/14.81  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 127.43/16.77  
% 127.43/16.77  
% 127.43/16.77  fork 3: search terminated without proof.
% 127.43/16.78  
% 127.43/16.78  **** run 132 fork 3 starts with strategy
% 127.43/16.78  {"max_dseconds":250,"strategy":["query_focus"],"query_preference":1}
% 134.52/17.63  
% 134.52/17.63  
% 134.52/17.63  fork 5: search terminated without proof.
% 134.70/17.65  
% 134.70/17.65  **** run 118 fork 5 starts with strategy
% 134.70/17.65  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":2}
% 134.70/17.67  
% 134.70/17.67  fork 5: search finished without proof.
% 134.70/17.68  
% 134.70/17.68  **** run 126 fork 5 starts with strategy
% 134.70/17.68  {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"sine":2}
% 134.70/17.72  
% 134.70/17.72  fork 5: search finished without proof.
% 135.43/17.73  
% 135.43/17.73  **** run 134 fork 5 starts with strategy
% 135.43/17.73  {"max_dseconds":250,"strategy":["query_focus","double"],"query_preference":1}
% 135.97/17.79  
% 135.97/17.79  fork 5: search finished without proof.
% 135.97/17.81  
% 135.97/17.81  **** run 142 fork 5 starts with strategy
% 135.97/17.81  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":250}
% 142.79/18.89  
% 142.79/18.89  
% 142.79/18.89  fork 0: search terminated without proof.
% 142.79/18.91  
% 142.79/18.91  **** run 113 fork 0 starts with strategy
% 142.79/18.91  {"max_dseconds":50,"strategy":["query_focus"],"query_preference":2}
% 145.84/19.13  
% 145.84/19.13  
% 145.84/19.13  fork 2: search terminated without proof.
% 146.12/19.16  
% 146.12/19.16  **** run 123 fork 2 starts with strategy
% 146.12/19.16  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 146.12/19.19  
% 146.12/19.19  fork 2: search finished without proof.
% 146.12/19.21  
% 146.12/19.21  **** run 131 fork 2 starts with strategy
% 146.12/19.21  {"max_dseconds":250,"strategy":["negative_pref"],"query_preference":1}
% 150.79/19.77  
% 150.79/19.77  
% 150.79/19.77  fork 4: search terminated without proof.
% 150.79/19.80  
% 150.79/19.80  **** run 125 fork 4 starts with strategy
% 150.79/19.80  {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 151.28/19.81  
% 151.28/19.81  
% 151.28/19.81  fork 7: search terminated without proof.
% 151.28/19.84  
% 151.28/19.84  **** run 128 fork 7 starts with strategy
% 151.28/19.84  {"max_dseconds":50,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 151.28/19.86  
% 151.28/19.86  fork 7: search finished without proof.
% 151.28/19.86  
% 151.28/19.86  
% 151.28/19.86  fork 6: search terminated without proof.
% 151.63/19.87  
% 151.63/19.87  fork 4: search finished without proof.
% 151.63/19.88  
% 151.63/19.88  **** run 136 fork 7 starts with strategy
% 151.63/19.88  {"max_dseconds":250,"strategy":["unit"],"query_preference":1}
% 151.63/19.88  
% 151.63/19.88  **** run 111 fork 6 starts with strategy
% 151.63/19.88  {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":20}
% 151.63/19.90  
% 151.63/19.90  **** run 133 fork 4 starts with strategy
% 151.63/19.90  {"max_dseconds":250,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 151.63/19.92  
% 151.63/19.92  fork 7: search finished without proof.
% 151.63/19.94  
% 151.63/19.94  **** run 144 fork 7 starts with strategy
% 151.63/19.94  {"max_dseconds":250,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 152.48/20.03  
% 152.48/20.03  
% 152.48/20.03  fork 1: search terminated without proof.
% 152.90/20.05  
% 152.90/20.05  **** run 130 fork 1 starts with strategy
% 152.90/20.05  {"max_dseconds":250,"strategy":["negative_pref"],"query_preference":0}
% 186.56/24.52  
% 186.56/24.52  
% 186.56/24.52  fork 0: search terminated without proof.
% 186.56/24.55  
% 186.56/24.55  **** run 121 fork 0 starts with strategy
% 186.56/24.55  {"max_dseconds":50,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 192.69/25.41  
% 192.69/25.41  
% 192.69/25.41  fork 6: search terminated without proof.
% 192.69/25.42  
% 192.69/25.42  **** run 119 fork 6 starts with strategy
% 192.69/25.42  {"max_dseconds":50,"strategy":["query_focus","unit"],"query_preference":1,"sine":1}
% 192.69/25.46  
% 192.69/25.46  fork 6: search finished without proof.
% 192.69/25.49  
% 192.69/25.49  **** run 127 fork 6 starts with strategy
% 192.69/25.50  {"max_dseconds":50,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 228.26/29.99  
% 228.26/29.99  fork 0: search finished without proof.
% 228.26/30.00  
% 228.26/30.00  **** run 129 fork 0 starts with strategy
% 228.26/30.00  {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 232.87/30.57  
% 232.87/30.57  
% 232.87/30.57  fork 6: search terminated without proof.
% 232.87/30.58  
% 232.87/30.58  **** run 135 fork 6 starts with strategy
% 232.87/30.58  {"max_dseconds":250,"strategy":["unit"],"query_preference":0}
% 233.12/30.61  
% 233.12/30.61  fork 6: search finished without proof.
% 233.12/30.63  
% 233.12/30.63  **** run 143 fork 6 starts with strategy
% 233.12/30.63  {"max_dseconds":250,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 269.32/35.29  
% 269.32/35.29  
% 269.32/35.29  fork 0: search terminated without proof.
% 269.53/35.31  
% 269.53/35.31  **** run 137 fork 0 starts with strategy
% 269.53/35.31  {"max_dseconds":250,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 275.88/36.35  
% 275.88/36.35  
% 275.88/36.35  result: proof found
% 275.88/36.35  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 275.88/36.35  by run 142 fork 5 strategy {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":250}
% 275.88/36.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 275.88/36.35  
% 275.88/36.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% See solution above
% 275.88/36.35  
% 275.88/36.35  run 142 fork 5 statistics:
% 275.88/36.35  ----------------------------------
% 275.88/36.35  this run seconds: 17.315214
% 275.88/36.35  total seconds: 34.287663
% 275.88/36.35  stat_given_used: 9460
% 275.88/36.35  stat_given_used_at_endgame: 0
% 275.88/36.35  stat_given_candidates:   83557
% 275.88/36.35  stat_given_candidates_at_endgame: 0
% 275.88/36.35  stat_given_candidates_h: 0
% 275.88/36.35  stat_binres_derived_cl:   869914
% 275.88/36.35  stat_binres_derived_cl_h: 0
% 275.88/36.35  stat_factor_derived_cl: 622
% 275.88/36.35  stat_para_derived_cl: 0
% 275.88/36.35  stat_tautologies_discarded: 27
% 275.88/36.35  stat_forward_subsumed: 63
% 275.88/36.35  stat_derived_cut: 538631
% 275.88/36.35  stat_derived_rewritten: 0
% 275.88/36.35  stat_weight_discarded_building: 0
% 275.88/36.35  stat_weight_discarded_cl: 286726
% 275.88/36.35  stat_internlimit_discarded_cl: 0
% 275.88/36.35  stat_simplified:  0 simplified 0 derived 0 given
% 275.88/36.35  stat_kept_cl: 583719
% 275.88/36.35  stat_built_cl: 889365
% 275.88/36.35  stat_hyperres_partial_cl: 0
% 275.88/36.35  stat_made_rewriters: 0
% 275.88/36.35  stat_backward_subsumed: 0
% 275.88/36.35  stat_propagated_subsumed: 0
% 275.88/36.35  stat_clsubs_attempted:                   4555037
% 275.88/36.35  stat_clsubs_fact_groundunit_found:            26
% 275.88/36.35  stat_clsubs_rule_groundunit_found:            30
% 275.88/36.35  stat_clsubs_top_meta_attempted:          141943285
% 275.88/36.35  stat_clsubs_top_meta_failed:             137388248
% 275.88/36.35  stat_clsubs_top_meta_nonpref_attempted:           141943285
% 275.88/36.35  stat_clsubs_top_meta_nonpref_succeeded:            47277794
% 275.88/36.35  stat_clsubs_top_meta_pref_attempted:               47277794
% 275.88/36.35  stat_clsubs_top_meta_pref1_succeeded:              44631999
% 275.88/36.35  stat_clsubs_top_meta_pref2_succeeded:              14232519
% 275.88/36.35  stat_clsubs_top_meta_pref3_succeeded:               4555037
% 275.88/36.35  stat_clsubs_top_meta_pref_succeeded:                4555037
% 275.88/36.35  stat_clsubs_meta_attempted:             37666316
% 275.88/36.35  stat_clsubs_meta_failed:                24333227
% 275.88/36.35  stat_clsubs_predsymbs_attempted:               0
% 275.88/36.35  stat_clsubs_unit_attempted:               111732
% 275.88/36.35  stat_clsubs_full_attempted:              4443305
% 275.88/36.35  stat_forwardsubs_attempted:               870509
% 275.88/36.35  stat_lit_hash_added:                    161
% 275.88/36.35  stat_lit_hash_computed:            38775167
% 275.88/36.35  stat_lit_hash_match_found:           538751
% 275.88/36.35  stat_lit_hash_match_miss:          57359446
% 275.88/36.35  stat_lit_hash_cut_ok:                538631
% 275.88/36.35  stat_lit_strong_cut_ok:                   0
% 275.88/36.35  stat_lit_hash_subsume_ok:                63
% 275.88/36.35  clqueue els 10000000 used 1
% 275.88/36.35  clactive els 10000000 used 9461
% 275.88/36.35  clactivesubsume els 10000000 used 56407
% 275.88/36.35  queue_termbuf els 200000000 used 118939624
% 275.88/36.35  hyper_termbuf els 100000000 used 1
% 275.88/36.35  active_termbuf els 100000000 used 1169334
% 275.88/36.35  varstack els 5000 last used 1
% 275.88/36.35  given_termbuf els 10000000 last used 1
% 275.88/36.35  simplified_termbuf els 10000000 last used 1
% 275.88/36.35  derived_termbuf els 10000000 last used 22
% 275.88/36.35  wr_mallocs: 24962
% 275.88/36.35  wr_callocs: 19
% 275.88/36.35  wr_reallocs: 660
% 275.88/36.35  wr_frees: 2
% 275.88/36.35  wr_malloc_bytes: 4163381876
% 275.88/36.35  wr_calloc_bytes: 96065504
% 275.88/36.35  wr_realloc_bytes: 13286864
% 275.88/36.35  wr_realloc_freebytes: 0
% 275.88/36.35  ----------------------------------
%------------------------------------------------------------------------------