TSTP Solution File: GRP129-3.004 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : GRP129-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n010.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 00:52:43 EDT 2023

% Result   : Unsatisfiable 6.75s 1.37s
% Output   : CNFRefutation 6.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    ( 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_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_2),
    inference(cnf_transformation,[],[element_2]) ).

cnf('5',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,[],['3','4']) ).

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

cnf('7',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | ~ product(X,e_1,e_4)
    | equalish(X,e_2) ),
    inference(resolution,[],['5','6']) ).

cnf('8',plain,
    group_element(e_3),
    inference(cnf_transformation,[],[element_3]) ).

cnf('9',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,[],['3','8']) ).

cnf('10',plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[],[e_3_is_not_e_2]) ).

cnf('11',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_1,e_3)
    | product(e_3,e_1,e_3) ),
    inference(resolution,[then_simplify],['7','9','10']) ).

cnf('12',plain,
    ( ~ product(X,e_1,Y)
    | ~ cycle(X,Z)
    | ~ greater(Z,e_0)
    | ~ next(X,U)
    | equalish(Y,U) ),
    inference(cnf_transformation,[],[cycle7]) ).

cnf('13',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_1,e_3)
    | ~ cycle(e_3,X)
    | ~ next(e_3,Y)
    | equalish(e_3,Y)
    | ~ greater(X,e_0) ),
    inference(resolution,[],['11','12']) ).

cnf('14',plain,
    ( ~ cycle(X,Y)
    | ~ cycle(Z,U)
    | ~ greater(U,e_0)
    | ~ next(Y,V)
    | ~ next(Z,X)
    | equalish(U,V) ),
    inference(cnf_transformation,[],[cycle4]) ).

cnf('15',plain,
    greater(e_3,e_0),
    inference(cnf_transformation,[],[e_3_greater_e_0]) ).

cnf('16',plain,
    ( equalish(e_3,X)
    | ~ cycle(Y,e_3)
    | ~ cycle(Z,U)
    | ~ next(Y,Z)
    | ~ next(U,X) ),
    inference(resolution,[],['14','15']) ).

cnf('17',plain,
    ( cycle(X,e_3)
    | cycle(X,e_2)
    | cycle(X,e_1)
    | cycle(X,e_0)
    | ~ group_element(X) ),
    inference(cnf_transformation,[],[cycle2]) ).

cnf('18',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | cycle(e_3,e_2)
    | cycle(e_3,e_3) ),
    inference(resolution,[],['17','8']) ).

cnf('19',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | cycle(e_3,e_2)
    | ~ next(e_3,X)
    | equalish(e_3,Y)
    | ~ cycle(X,Z)
    | ~ next(Z,Y) ),
    inference(resolution,[],['16','18']) ).

cnf('20',plain,
    next(e_3,e_4),
    inference(cnf_transformation,[],[e_3_then_e_4]) ).

cnf('21',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | cycle(e_3,e_2)
    | ~ cycle(e_4,X)
    | equalish(e_3,Y)
    | ~ next(X,Y) ),
    inference(resolution,[],['19','20']) ).

cnf('22',plain,
    cycle(e_4,e_0),
    inference(cnf_transformation,[],[cycle3]) ).

cnf('23',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | cycle(e_3,e_2)
    | ~ next(e_0,X)
    | equalish(e_3,X) ),
    inference(resolution,[],['21','22']) ).

cnf('24',plain,
    next(e_0,e_1),
    inference(cnf_transformation,[],[e_0_then_e_1]) ).

cnf('25',plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[],[e_3_is_not_e_1]) ).

cnf('26',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | cycle(e_3,e_2) ),
    inference(resolution,[then_simplify],['23','24','25']) ).

cnf('27',plain,
    greater(e_2,e_0),
    inference(cnf_transformation,[],[e_2_greater_e_0]) ).

cnf('28',plain,
    ( equalish(e_2,X)
    | ~ cycle(Y,e_2)
    | ~ cycle(Z,U)
    | ~ next(Y,Z)
    | ~ next(U,X) ),
    inference(resolution,[],['14','27']) ).

cnf('29',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | ~ next(e_3,X)
    | equalish(e_2,Y)
    | ~ cycle(X,Z)
    | ~ next(Z,Y) ),
    inference(resolution,[],['26','28']) ).

cnf('30',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | ~ cycle(e_4,X)
    | equalish(e_2,Y)
    | ~ next(X,Y) ),
    inference(resolution,[],['29','20']) ).

cnf('31',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1)
    | ~ next(e_0,X)
    | equalish(e_2,X) ),
    inference(resolution,[],['30','22']) ).

cnf('32',plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[],[e_2_is_not_e_1]) ).

cnf('33',plain,
    ( cycle(e_3,e_0)
    | cycle(e_3,e_1) ),
    inference(resolution,[then_simplify],['31','24','32']) ).

cnf('34',plain,
    greater(e_1,e_0),
    inference(cnf_transformation,[],[e_1_greater_e_0]) ).

cnf('35',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0)
    | ~ next(e_3,X)
    | equalish(e_3,X) ),
    inference(resolution,[then_simplify],['13','33','34']) ).

cnf('36',plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[],[e_3_is_not_e_4]) ).

cnf('37',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_3,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['35','20','36']) ).

cnf('38',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0)
    | ~ cycle(e_3,X)
    | ~ next(e_3,Y)
    | equalish(e_2,Y)
    | ~ greater(X,e_0) ),
    inference(resolution,[],['37','12']) ).

cnf('39',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0)
    | ~ next(e_3,X)
    | equalish(e_2,X) ),
    inference(resolution,[then_simplify],['38','33','34']) ).

cnf('40',plain,
    ~ equalish(e_2,e_4),
    inference(cnf_transformation,[],[e_2_is_not_e_4]) ).

cnf('41',plain,
    ( product(e_2,e_1,e_1)
    | product(e_3,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['39','20','40']) ).

cnf('42',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0)
    | ~ cycle(e_3,X)
    | ~ next(e_3,Y)
    | equalish(e_1,Y)
    | ~ greater(X,e_0) ),
    inference(resolution,[],['41','12']) ).

cnf('43',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0)
    | ~ next(e_3,X)
    | equalish(e_1,X) ),
    inference(resolution,[then_simplify],['42','33','34']) ).

cnf('44',plain,
    ~ equalish(e_1,e_4),
    inference(cnf_transformation,[],[e_1_is_not_e_4]) ).

cnf('45',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['43','20','44']) ).

cnf('46',plain,
    ( 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','8']) ).

cnf('47',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,[],['46','2']) ).

cnf('48',plain,
    ( ~ product(X,Y,Z)
    | ~ product(U,X,Y)
    | product(Y,U,Z) ),
    inference(cnf_transformation,[],[qg3]) ).

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

cnf('50',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_3,e_2,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['45','49']) ).

cnf('51',plain,
    ( product(X,X,e_4)
    | product(X,X,e_3)
    | product(X,X,e_2)
    | product(X,X,e_1)
    | ~ group_element(X) ),
    inference(factorization,[],['1']) ).

cnf('52',plain,
    group_element(e_4),
    inference(cnf_transformation,[],[element_4]) ).

cnf('53',plain,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | product(e_4,e_4,e_4) ),
    inference(resolution,[],['51','52']) ).

cnf('54',plain,
    ( product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3)
    | ~ product(X,e_4,e_4)
    | equalish(X,e_4) ),
    inference(resolution,[],['53','6']) ).

cnf('55',plain,
    ( 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','52']) ).

cnf('56',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,e_4,e_4) ),
    inference(resolution,[],['55','4']) ).

cnf('57',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(resolution,[then_simplify],['54','56','40']) ).

cnf('58',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_2)
    | product(e_4,X,e_3)
    | ~ product(X,e_4,e_4) ),
    inference(resolution,[],['57','48']) ).

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

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

cnf('61',plain,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[],['60','56']) ).

cnf('62',plain,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_4,X,e_1)
    | ~ product(X,e_4,e_4) ),
    inference(resolution,[],['61','48']) ).

cnf('63',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[],['62','56']) ).

cnf('64',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,U,Z)
    | equalish(U,Y) ),
    inference(cnf_transformation,[],[product_right_cancellation]) ).

cnf('65',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_2)
    | ~ product(e_4,X,e_3)
    | equalish(X,e_4) ),
    inference(resolution,[],['57','64']) ).

cnf('66',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_2,e_4,e_3)
    | product(e_4,e_4,e_2) ),
    inference(resolution,[then_simplify],['63','65','40']) ).

cnf('67',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_2,X,e_3)
    | ~ product(X,e_4,e_2) ),
    inference(resolution,[],['63','48']) ).

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

cnf('69',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | product(e_4,X,e_1)
    | ~ product(X,e_4,e_4) ),
    inference(resolution,[],['68','48']) ).

cnf('70',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[],['69','56']) ).

cnf('71',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | ~ product(e_4,X,e_2)
    | equalish(X,e_4) ),
    inference(resolution,[],['59','64']) ).

cnf('72',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_4,e_1)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[then_simplify],['70','71','40']) ).

cnf('73',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | product(e_4,X,e_1)
    | ~ product(X,e_4,e_4) ),
    inference(resolution,[],['72','48']) ).

cnf('74',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[],['73','56']) ).

cnf('75',plain,
    ( ~ product(X,Y,Z)
    | ~ product(X,Y,U)
    | equalish(U,Z) ),
    inference(cnf_transformation,[],[product_total_function2]) ).

cnf('76',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | ~ product(e_4,e_2,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['70','75']) ).

cnf('77',plain,
    ( product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[then_simplify],['74','76','10']) ).

cnf('78',plain,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3)
    | ~ product(e_4,X,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['61','64']) ).

cnf('79',plain,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_4,e_2,e_3)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[then_simplify],['77','78','40']) ).

cnf('80',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3)
    | ~ product(e_4,e_2,X)
    | equalish(X,e_1) ),
    inference(resolution,[],['77','75']) ).

cnf('81',plain,
    ( product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[then_simplify],['79','80','25']) ).

cnf('82',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | product(e_2,e_4,e_3) ),
    inference(resolution,[then_simplify],['81','80','32']) ).

cnf('83',plain,
    ( product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | ~ product(e_2,X,e_3)
    | equalish(X,e_4) ),
    inference(resolution,[],['82','64']) ).

cnf('84',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['45','83','44']) ).

cnf('85',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | cycle(e_3,e_0)
    | product(e_4,X,e_2)
    | ~ product(X,e_2,e_4) ),
    inference(resolution,[],['84','48']) ).

cnf('86',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_2,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_4,e_3,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['50','85']) ).

cnf('87',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)
    | cycle(e_3,e_0)
    | product(e_2,X,e_4)
    | ~ product(X,e_3,e_2) ),
    inference(resolution,[],['50','48']) ).

cnf('88',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_2,e_4,e_1)
    | product(e_1,e_3,e_3)
    | product(e_2,e_4,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['86','87']) ).

cnf('89',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | cycle(e_3,e_0)
    | ~ product(e_2,e_4,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['84','75']) ).

cnf('90',plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[],[e_4_is_not_e_2]) ).

cnf('91',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_2,e_4,e_1)
    | product(e_1,e_3,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['88','89','90']) ).

cnf('92',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)
    | cycle(e_3,e_0)
    | ~ product(e_2,X,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['91','64']) ).

cnf('93',plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | product(e_2,e_3,e_4) ),
    inference(resolution,[],['46','4']) ).

cnf('94',plain,
    ( product(e_2,e_3,e_1)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_3)
    | ~ product(X,e_3,e_4)
    | equalish(X,e_2) ),
    inference(resolution,[],['93','6']) ).

cnf('95',plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[],[e_1_is_not_e_2]) ).

cnf('96',plain,
    ( product(e_1,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_3,e_3) ),
    inference(resolution,[then_simplify],['94','47','95']) ).

cnf('97',plain,
    ( product(e_1,e_3,e_1)
    | product(e_2,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_3,e_3)
    | ~ product(e_2,X,e_3)
    | equalish(X,e_3) ),
    inference(resolution,[],['96','64']) ).

cnf('98',plain,
    ~ equalish(e_1,e_3),
    inference(cnf_transformation,[],[e_1_is_not_e_3]) ).

cnf('99',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_3,e_2)
    | product(e_2,e_3,e_2)
    | product(e_1,e_3,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['45','97','98']) ).

cnf('100',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_3,e_2)
    | product(e_1,e_3,e_3)
    | product(e_2,e_2,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['99','87']) ).

cnf('101',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_2,e_2,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['92','100','36']) ).

cnf('102',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)
    | cycle(e_3,e_0)
    | ~ product(X,e_2,e_4)
    | equalish(X,e_3) ),
    inference(resolution,[],['50','6']) ).

cnf('103',plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[],[e_2_is_not_e_3]) ).

cnf('104',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)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['101','102','103']) ).

cnf('105',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_1,e_4) ),
    inference(resolution,[],['51','2']) ).

cnf('106',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | ~ product(X,e_1,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['105','6']) ).

cnf('107',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_3) ),
    inference(resolution,[then_simplify],['106','9','25']) ).

cnf('108',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_1,e_2)
    | ~ cycle(e_3,X)
    | ~ next(e_3,Y)
    | equalish(e_3,Y)
    | ~ greater(X,e_0) ),
    inference(resolution,[],['107','12']) ).

cnf('109',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_1,e_2)
    | cycle(e_3,e_0)
    | ~ next(e_3,X)
    | equalish(e_3,X) ),
    inference(resolution,[then_simplify],['108','33','34']) ).

cnf('110',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | product(e_3,e_1,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['109','20','36']) ).

cnf('111',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | cycle(e_3,e_0)
    | ~ cycle(e_3,X)
    | ~ next(e_3,Y)
    | equalish(e_2,Y)
    | ~ greater(X,e_0) ),
    inference(resolution,[],['110','12']) ).

cnf('112',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | cycle(e_3,e_0)
    | ~ next(e_3,X)
    | equalish(e_2,X) ),
    inference(resolution,[then_simplify],['111','33','34']) ).

cnf('113',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_3,e_1,e_1)
    | product(e_1,e_1,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['112','20','40']) ).

cnf('114',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,X,e_4)
    | ~ product(X,e_1,e_1) ),
    inference(resolution,[],['105','48']) ).

cnf('115',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | product(e_1,e_3,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['113','114']) ).

cnf('116',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | ~ product(e_1,X,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['105','64']) ).

cnf('117',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['115','116','25']) ).

cnf('118',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0)
    | ~ product(X,e_1,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['117','6']) ).

cnf('119',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_1,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['45','118','32']) ).

cnf('120',plain,
    ( product(X,e_2,e_4)
    | product(X,e_2,e_3)
    | product(X,e_2,e_2)
    | product(X,e_2,e_1)
    | ~ group_element(X) ),
    inference(resolution,[],['1','4']) ).

cnf('121',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_2,e_4) ),
    inference(resolution,[],['120','2']) ).

cnf('122',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,X,e_4)
    | ~ product(X,e_1,e_2) ),
    inference(resolution,[],['121','48']) ).

cnf('123',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_2,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['119','122']) ).

cnf('124',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | ~ product(X,e_2,e_4)
    | equalish(X,e_1) ),
    inference(resolution,[],['121','6']) ).

cnf('125',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['123','124','32']) ).

cnf('126',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0)
    | product(e_1,X,e_3)
    | ~ product(X,e_1,e_1) ),
    inference(resolution,[],['117','48']) ).

cnf('127',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['125','126']) ).

cnf('128',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['117','64']) ).

cnf('129',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['127','128','32']) ).

cnf('130',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0)
    | product(e_2,X,e_2)
    | ~ product(X,e_1,e_2) ),
    inference(resolution,[],['129','48']) ).

cnf('131',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_2,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['130','119']) ).

cnf('132',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0)
    | ~ product(X,e_2,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['129','6']) ).

cnf('133',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['131','132','32']) ).

cnf('134',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['133','126']) ).

cnf('135',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['134','128','32']) ).

cnf('136',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0)
    | product(e_1,X,e_2)
    | ~ product(X,e_2,e_1) ),
    inference(resolution,[],['119','48']) ).

cnf('137',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['135','136']) ).

cnf('138',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['137','126']) ).

cnf('139',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['138','128','32']) ).

cnf('140',plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_3,e_0)
    | ~ product(X,e_1,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['139','6']) ).

cnf('141',plain,
    ( product(e_1,e_1,e_1)
    | 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_3,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['104','140','32']) ).

cnf('142',plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_3,e_0)
    | product(e_1,X,e_2)
    | ~ product(X,e_1,e_1) ),
    inference(resolution,[],['139','48']) ).

cnf('143',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['141','142']) ).

cnf('144',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_1,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['139','122']) ).

cnf('145',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | cycle(e_3,e_0)
    | ~ product(e_2,e_1,X)
    | equalish(X,e_3) ),
    inference(resolution,[],['45','75']) ).

cnf('146',plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[],[e_4_is_not_e_3]) ).

cnf('147',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['144','145','146']) ).

cnf('148',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['147','140','32']) ).

cnf('149',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['148','142']) ).

cnf('150',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['149','64']) ).

cnf('151',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['143','150','10']) ).

cnf('152',plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_3,e_0)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['139','64']) ).

cnf('153',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['151','152','25']) ).

cnf('154',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) ),
    inference(resolution,[],['55','2']) ).

cnf('155',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,e_4,e_3) ),
    inference(resolution,[then_simplify],['54','154','44']) ).

cnf('156',plain,
    ( product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | product(e_4,e_4,e_1)
    | product(e_4,e_4,e_2)
    | product(e_4,X,e_3)
    | ~ product(X,e_4,e_4) ),
    inference(resolution,[],['155','48']) ).

cnf('157',plain,
    ( product(e_1,e_4,e_1)
    | 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_4,e_1)
    | product(e_4,e_4,e_2) ),
    inference(resolution,[],['156','154']) ).

cnf('158',plain,
    ( product(e_1,e_4,e_1)
    | 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_4,e_1)
    | product(e_4,X,e_2)
    | ~ product(X,e_4,e_4) ),
    inference(resolution,[],['157','48']) ).

cnf('159',plain,
    ( product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | 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_4,e_1) ),
    inference(resolution,[],['158','154']) ).

cnf('160',plain,
    ( product(e_1,e_4,e_1)
    | product(e_4,e_1,e_2)
    | product(e_1,e_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3)
    | product(e_4,X,e_1)
    | ~ product(X,e_4,e_4) ),
    inference(resolution,[],['159','48']) ).

cnf('161',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_4,e_2)
    | product(e_4,e_1,e_3)
    | product(e_1,e_4,e_3) ),
    inference(resolution,[],['160','154']) ).

cnf('162',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_4,e_2)
    | product(e_1,e_4,e_3)
    | ~ product(X,e_1,e_3)
    | equalish(X,e_4) ),
    inference(resolution,[],['161','6']) ).

cnf('163',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_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['45','162','40']) ).

cnf('164',plain,
    ~ equalish(e_4,e_1),
    inference(cnf_transformation,[],[e_4_is_not_e_1]) ).

cnf('165',plain,
    ( product(e_1,e_1,e_1)
    | 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_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['140','163','164']) ).

cnf('166',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['165','142']) ).

cnf('167',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['166','140','32']) ).

cnf('168',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['167','142']) ).

cnf('169',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_4,e_1)
    | product(e_1,e_4,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['168','150','90']) ).

cnf('170',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_4,e_1)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['169','152','164']) ).

cnf('171',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0)
    | ~ product(e_1,X,e_1)
    | equalish(X,e_4) ),
    inference(resolution,[],['170','64']) ).

cnf('172',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['153','171','36']) ).

cnf('173',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_1)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['172','152','32']) ).

cnf('174',plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_3,e_0)
    | product(e_2,X,e_1)
    | ~ product(X,e_1,e_2) ),
    inference(resolution,[],['173','48']) ).

cnf('175',plain,
    ( product(e_1,e_1,e_1)
    | product(e_2,e_1,e_1)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['174','139']) ).

cnf('176',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['175','142']) ).

cnf('177',plain,
    ( product(e_1,e_1,e_1)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['176','152','32']) ).

cnf('178',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_4,e_1,e_2)
    | product(e_2,e_4,e_1)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['85','121']) ).

cnf('179',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_1)
    | product(e_2,e_4,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['178','122']) ).

cnf('180',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_4,e_1)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['179','89','90']) ).

cnf('181',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0)
    | product(e_4,X,e_1)
    | ~ product(X,e_2,e_4) ),
    inference(resolution,[],['180','48']) ).

cnf('182',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_4,e_1,e_1)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['181','121']) ).

cnf('183',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0)
    | product(e_1,X,e_1)
    | ~ product(X,e_4,e_1) ),
    inference(resolution,[],['182','48']) ).

cnf('184',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['183','180']) ).

cnf('185',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_2,e_4)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['184','122']) ).

cnf('186',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['185','124','32']) ).

cnf('187',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0)
    | ~ product(X,e_1,e_1)
    | equalish(X,e_2) ),
    inference(resolution,[],['186','6']) ).

cnf('188',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['177','187','95']) ).

cnf('189',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0)
    | product(e_2,X,e_3)
    | ~ product(X,e_1,e_2) ),
    inference(resolution,[],['188','48']) ).

cnf('190',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_2,e_2,e_3)
    | product(e_1,e_3,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['189','104']) ).

cnf('191',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0)
    | ~ product(X,e_2,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['188','6']) ).

cnf('192',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['190','191','32']) ).

cnf('193',plain,
    ( cycle(e_3,e_0)
    | ~ cycle(e_1,X)
    | ~ next(e_1,Y)
    | equalish(e_1,Y)
    | ~ greater(X,e_0) ),
    inference(resolution,[],['177','12']) ).

cnf('194',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2)
    | cycle(e_1,e_3) ),
    inference(resolution,[],['17','2']) ).

cnf('195',plain,
    greater(e_3,e_0),
    inference(cnf_transformation,[],[e_3_greater_e_0]) ).

cnf('196',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_3,e_0)
    | cycle(e_1,e_2)
    | ~ next(e_1,X)
    | equalish(e_1,X) ),
    inference(resolution,[then_simplify],['193','194','195']) ).

cnf('197',plain,
    next(e_1,e_2),
    inference(cnf_transformation,[],[e_1_then_e_2]) ).

cnf('198',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_3,e_0)
    | cycle(e_1,e_2) ),
    inference(resolution,[then_simplify],['196','197','95']) ).

cnf('199',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | cycle(e_2,e_3) ),
    inference(resolution,[],['17','4']) ).

cnf('200',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | ~ next(e_2,X)
    | equalish(e_3,Y)
    | ~ cycle(X,Z)
    | ~ next(Z,Y) ),
    inference(resolution,[],['16','199']) ).

cnf('201',plain,
    next(e_2,e_3),
    inference(cnf_transformation,[],[e_2_then_e_3]) ).

cnf('202',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | ~ cycle(e_3,X)
    | equalish(e_3,Y)
    | ~ next(X,Y) ),
    inference(resolution,[],['200','201']) ).

cnf('203',plain,
    ( cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | ~ next(e_1,X)
    | equalish(e_3,X) ),
    inference(resolution,[],['202','33']) ).

cnf('204',plain,
    ( cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2) ),
    inference(resolution,[then_simplify],['203','197','10']) ).

cnf('205',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2)
    | ~ next(e_0,X)
    | equalish(e_3,X) ),
    inference(resolution,[],['204','202']) ).

cnf('206',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | cycle(e_2,e_2) ),
    inference(resolution,[then_simplify],['205','24','25']) ).

cnf('207',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | ~ next(e_2,X)
    | equalish(e_2,Y)
    | ~ cycle(X,Z)
    | ~ next(Z,Y) ),
    inference(resolution,[],['206','28']) ).

cnf('208',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | ~ cycle(e_3,X)
    | equalish(e_2,Y)
    | ~ next(X,Y) ),
    inference(resolution,[],['207','201']) ).

cnf('209',plain,
    ( cycle(e_1,e_0)
    | cycle(e_2,e_0)
    | cycle(e_1,e_1)
    | cycle(e_2,e_1)
    | cycle(e_1,e_2)
    | ~ next(e_0,X)
    | equalish(e_2,X) ),
    inference(resolution,[],['198','208']) ).

cnf('210',plain,
    ( cycle(e_1,e_0)
    | cycle(e_2,e_0)
    | cycle(e_1,e_1)
    | cycle(e_2,e_1)
    | cycle(e_1,e_2) ),
    inference(resolution,[then_simplify],['209','24','32']) ).

cnf('211',plain,
    ( ~ cycle(X,Y)
    | ~ cycle(Z,X)
    | ~ greater(Y,e_0)
    | ~ next(X,Z)
    | equalish(Y,Z) ),
    inference(factorization,[],['14']) ).

cnf('212',plain,
    ( equalish(e_3,X)
    | ~ cycle(X,Y)
    | ~ cycle(Y,e_3)
    | ~ next(Y,X) ),
    inference(resolution,[],['211','15']) ).

cnf('213',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2)
    | ~ next(e_1,X)
    | equalish(e_3,X)
    | ~ cycle(X,e_1) ),
    inference(resolution,[],['212','194']) ).

cnf('214',plain,
    ( ~ cycle(e_2,e_1)
    | cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2) ),
    inference(resolution,[then_simplify],['213','197','10']) ).

cnf('215',plain,
    ( cycle(e_1,e_0)
    | cycle(e_2,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2) ),
    inference(resolution,[],['210','214']) ).

cnf('216',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2)
    | ~ next(e_1,X)
    | equalish(e_3,Y)
    | ~ cycle(X,Z)
    | ~ next(Z,Y) ),
    inference(resolution,[],['16','194']) ).

cnf('217',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2)
    | ~ cycle(e_2,X)
    | equalish(e_3,Y)
    | ~ next(X,Y) ),
    inference(resolution,[],['216','197']) ).

cnf('218',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2)
    | ~ next(e_0,X)
    | equalish(e_3,X) ),
    inference(resolution,[],['215','217']) ).

cnf('219',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_1,e_2) ),
    inference(resolution,[then_simplify],['218','24','25']) ).

cnf('220',plain,
    greater(e_2,e_0),
    inference(cnf_transformation,[],[e_2_greater_e_0]) ).

cnf('221',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_3,e_0)
    | ~ next(e_1,X)
    | equalish(e_1,X) ),
    inference(resolution,[then_simplify],['219','193','220']) ).

cnf('222',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['221','197','95']) ).

cnf('223',plain,
    ( ~ cycle(X,Y)
    | ~ cycle(Z,e_0)
    | ~ cycle(U,V)
    | ~ greater(Z,U)
    | ~ greater(V,Y)
    | ~ next(Z,X) ),
    inference(cnf_transformation,[],[cycle5]) ).

cnf('224',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | ~ greater(e_3,X)
    | ~ next(e_3,Y)
    | ~ cycle(X,Z)
    | ~ cycle(Y,U)
    | ~ greater(Z,U) ),
    inference(resolution,[],['222','223']) ).

cnf('225',plain,
    greater(e_3,e_1),
    inference(cnf_transformation,[],[e_3_greater_e_1]) ).

cnf('226',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | ~ cycle(e_1,X)
    | ~ next(e_3,Y)
    | ~ cycle(Y,Z)
    | ~ greater(X,Z) ),
    inference(resolution,[],['224','225']) ).

cnf('227',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | ~ greater(e_2,X)
    | ~ next(e_3,Y)
    | ~ cycle(Y,X) ),
    inference(resolution,[],['226','219']) ).

cnf('228',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1)
    | ~ next(e_3,X)
    | ~ cycle(X,e_0) ),
    inference(resolution,[],['227','27']) ).

cnf('229',plain,
    cycle(e_4,e_0),
    inference(cnf_transformation,[],[cycle3]) ).

cnf('230',plain,
    ( cycle(e_1,e_0)
    | cycle(e_1,e_1) ),
    inference(resolution,[then_simplify],['228','20','229']) ).

cnf('231',plain,
    ( cycle(e_1,e_0)
    | cycle(e_3,e_0)
    | ~ next(e_1,X)
    | equalish(e_1,X) ),
    inference(resolution,[then_simplify],['230','193','34']) ).

cnf('232',plain,
    ( cycle(e_1,e_0)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['231','197','95']) ).

cnf('233',plain,
    ( cycle(e_1,e_0)
    | ~ greater(e_3,X)
    | ~ next(e_3,Y)
    | ~ cycle(X,Z)
    | ~ cycle(Y,U)
    | ~ greater(Z,U) ),
    inference(resolution,[],['232','223']) ).

cnf('234',plain,
    ( cycle(e_1,e_0)
    | ~ cycle(e_1,X)
    | ~ next(e_3,Y)
    | ~ cycle(Y,Z)
    | ~ greater(X,Z) ),
    inference(resolution,[],['233','225']) ).

cnf('235',plain,
    ( cycle(e_1,e_0)
    | ~ greater(e_1,X)
    | ~ next(e_3,Y)
    | ~ cycle(Y,X) ),
    inference(resolution,[],['234','230']) ).

cnf('236',plain,
    greater(e_1,e_0),
    inference(cnf_transformation,[],[e_1_greater_e_0]) ).

cnf('237',plain,
    ( cycle(e_1,e_0)
    | ~ next(e_3,X)
    | ~ cycle(X,e_0) ),
    inference(resolution,[],['235','236']) ).

cnf('238',plain,
    cycle(e_1,e_0),
    inference(resolution,[then_simplify],['237','20','229']) ).

cnf('239',plain,
    ( ~ product(X,e_1,Y)
    | ~ cycle(X,e_0)
    | ~ greater(Y,X) ),
    inference(cnf_transformation,[],[cycle6]) ).

cnf('240',plain,
    greater(e_4,e_1),
    inference(cnf_transformation,[],[e_4_greater_e_1]) ).

cnf('241',plain,
    ( ~ cycle(e_1,e_0)
    | product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(resolution,[then_simplify],['105','239','240']) ).

cnf('242',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2)
    | product(e_1,e_1,e_3) ),
    inference(resolution,[],['238','241']) ).

cnf('243',plain,
    cycle(e_1,e_0),
    inference(resolution,[then_simplify],['237','20','229']) ).

cnf('244',plain,
    greater(e_3,e_1),
    inference(cnf_transformation,[],[e_3_greater_e_1]) ).

cnf('245',plain,
    ( product(e_1,e_1,e_1)
    | product(e_1,e_1,e_2) ),
    inference(resolution,[then_simplify],['242','239','243','244']) ).

cnf('246',plain,
    greater(e_2,e_1),
    inference(cnf_transformation,[],[e_2_greater_e_1]) ).

cnf('247',plain,
    product(e_1,e_1,e_1),
    inference(resolution,[then_simplify],['245','239','243','246']) ).

cnf('248',plain,
    ( product(e_1,X,e_1)
    | ~ product(X,e_1,e_1) ),
    inference(resolution,[],['247','48']) ).

cnf('249',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['192','248']) ).

cnf('250',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_2) ),
    inference(resolution,[],['188','64']) ).

cnf('251',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_3,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['249','250','10']) ).

cnf('252',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0)
    | product(e_3,X,e_2)
    | ~ product(X,e_1,e_3) ),
    inference(resolution,[],['251','48']) ).

cnf('253',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_3,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['252','45']) ).

cnf('254',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0)
    | product(e_2,X,e_2)
    | ~ product(X,e_3,e_2) ),
    inference(resolution,[],['253','48']) ).

cnf('255',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['254','251']) ).

cnf('256',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['255','189']) ).

cnf('257',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['256','191','32']) ).

cnf('258',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['257','248']) ).

cnf('259',plain,
    ( ~ product(e_1,X,e_1)
    | equalish(X,e_1) ),
    inference(resolution,[],['247','64']) ).

cnf('260',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['258','259','25']) ).

cnf('261',plain,
    ( product(e_4,e_2,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_2,e_4) ),
    inference(resolution,[],['120','52']) ).

cnf('262',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | product(e_4,e_4,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['85','261']) ).

cnf('263',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_4,e_1)
    | cycle(e_3,e_0)
    | ~ product(X,e_4,e_2)
    | equalish(X,e_2) ),
    inference(resolution,[],['84','6']) ).

cnf('264',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | product(e_4,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['262','263','90']) ).

cnf('265',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_4,e_2,e_2)
    | cycle(e_3,e_0)
    | product(e_2,X,e_3)
    | ~ product(X,e_4,e_2) ),
    inference(resolution,[],['264','48']) ).

cnf('266',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_2,e_3)
    | product(e_4,e_2,e_2)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['265','84']) ).

cnf('267',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_2,e_3)
    | cycle(e_3,e_0)
    | product(e_2,X,e_2)
    | ~ product(X,e_4,e_2) ),
    inference(resolution,[],['266','48']) ).

cnf('268',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_4,e_1)
    | product(e_2,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['267','84']) ).

cnf('269',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_2,e_3)
    | cycle(e_3,e_0)
    | product(e_2,X,e_1)
    | ~ product(X,e_4,e_2) ),
    inference(resolution,[],['268','48']) ).

cnf('270',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_4,e_1)
    | product(e_2,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['269','84']) ).

cnf('271',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_3)
    | cycle(e_3,e_0)
    | product(e_4,X,e_1)
    | ~ product(X,e_2,e_4) ),
    inference(resolution,[],['270','48']) ).

cnf('272',plain,
    ( product(e_2,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_3)
    | product(e_2,e_2,e_4) ),
    inference(resolution,[],['51','4']) ).

cnf('273',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_4,e_2,e_1)
    | product(e_2,e_2,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['271','272']) ).

cnf('274',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | cycle(e_3,e_0)
    | product(e_1,X,e_3)
    | ~ product(X,e_2,e_1) ),
    inference(resolution,[],['45','48']) ).

cnf('275',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_3)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['273','274']) ).

cnf('276',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | cycle(e_3,e_0)
    | ~ product(e_2,X,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['45','64']) ).

cnf('277',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_2,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['275','276','32']) ).

cnf('278',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0)
    | product(e_2,X,e_2)
    | ~ product(X,e_2,e_2) ),
    inference(resolution,[],['277','48']) ).

cnf('279',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['260','278']) ).

cnf('280',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_1,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['279','274']) ).

cnf('281',plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_3,e_0)
    | product(e_2,X,e_2)
    | ~ product(X,e_1,e_2) ),
    inference(resolution,[],['260','48']) ).

cnf('282',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['280','281']) ).

cnf('283',plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_3,e_0)
    | ~ product(X,e_2,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['260','6']) ).

cnf('284',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['282','283','32']) ).

cnf('285',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_3)
    | product(e_1,e_4,e_3)
    | cycle(e_3,e_0) ),
    inference(resolution,[],['284','248']) ).

cnf('286',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_3,e_3)
    | cycle(e_3,e_0)
    | ~ cycle(e_2,X)
    | ~ next(e_2,Y)
    | equalish(e_2,Y)
    | ~ greater(X,e_0) ),
    inference(resolution,[],['104','12']) ).

cnf('287',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_3,e_3)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1)
    | ~ next(e_2,X)
    | equalish(e_2,X) ),
    inference(resolution,[then_simplify],['286','206','220']) ).

cnf('288',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_3,e_3)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['287','201','103']) ).

cnf('289',plain,
    ( ~ product(X,e_1,e_1)
    | equalish(X,e_1) ),
    inference(resolution,[],['247','6']) ).

cnf('290',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_3,e_3)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['288','289','32']) ).

cnf('291',plain,
    ( product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1)
    | ~ product(e_1,X,e_3)
    | equalish(X,e_3) ),
    inference(resolution,[],['290','64']) ).

cnf('292',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_3,e_2)
    | product(e_1,e_2,e_3)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['285','291','146']) ).

cnf('293',plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_3,e_0)
    | ~ product(e_1,X,e_2)
    | equalish(X,e_2) ),
    inference(resolution,[],['260','64']) ).

cnf('294',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_3,e_1)
    | product(e_1,e_2,e_3)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['292','293','10']) ).

cnf('295',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_3)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['294','259','25']) ).

cnf('296',plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_3,e_0)
    | ~ product(e_1,e_2,X)
    | equalish(X,e_2) ),
    inference(resolution,[],['260','75']) ).

cnf('297',plain,
    ( product(e_1,e_2,e_1)
    | cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['295','296','10']) ).

cnf('298',plain,
    ( cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['297','259','32']) ).

cnf('299',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1)
    | ~ next(e_0,X)
    | equalish(e_2,X) ),
    inference(resolution,[],['298','208']) ).

cnf('300',plain,
    ( cycle(e_2,e_0)
    | cycle(e_2,e_1) ),
    inference(resolution,[then_simplify],['299','24','32']) ).

cnf('301',plain,
    ( equalish(e_1,X)
    | ~ cycle(Y,e_1)
    | ~ cycle(Z,U)
    | ~ next(Y,Z)
    | ~ next(U,X) ),
    inference(resolution,[],['14','236']) ).

cnf('302',plain,
    ( cycle(e_2,e_0)
    | ~ next(e_2,X)
    | equalish(e_1,Y)
    | ~ cycle(X,Z)
    | ~ next(Z,Y) ),
    inference(resolution,[],['300','301']) ).

cnf('303',plain,
    ( cycle(e_2,e_0)
    | ~ cycle(e_3,X)
    | equalish(e_1,Y)
    | ~ next(X,Y) ),
    inference(resolution,[],['302','201']) ).

cnf('304',plain,
    ( cycle(e_2,e_0)
    | cycle(e_3,e_0)
    | ~ next(e_1,X)
    | equalish(e_1,X) ),
    inference(resolution,[],['303','33']) ).

cnf('305',plain,
    ( cycle(e_2,e_0)
    | cycle(e_3,e_0) ),
    inference(resolution,[then_simplify],['304','197','95']) ).

cnf('306',plain,
    ( cycle(e_2,e_0)
    | ~ greater(e_3,X)
    | ~ next(e_3,Y)
    | ~ cycle(X,Z)
    | ~ cycle(Y,U)
    | ~ greater(Z,U) ),
    inference(resolution,[],['305','223']) ).

cnf('307',plain,
    greater(e_3,e_2),
    inference(cnf_transformation,[],[e_3_greater_e_2]) ).

cnf('308',plain,
    ( cycle(e_2,e_0)
    | ~ cycle(e_2,X)
    | ~ next(e_3,Y)
    | ~ cycle(Y,Z)
    | ~ greater(X,Z) ),
    inference(resolution,[],['306','307']) ).

cnf('309',plain,
    ( cycle(e_2,e_0)
    | ~ greater(e_1,X)
    | ~ next(e_3,Y)
    | ~ cycle(Y,X) ),
    inference(resolution,[],['308','300']) ).

cnf('310',plain,
    ( cycle(e_2,e_0)
    | ~ next(e_3,X)
    | ~ cycle(X,e_0) ),
    inference(resolution,[],['309','236']) ).

cnf('311',plain,
    cycle(e_2,e_0),
    inference(resolution,[then_simplify],['310','20','229']) ).

cnf('312',plain,
    greater(e_4,e_2),
    inference(cnf_transformation,[],[e_4_greater_e_2]) ).

cnf('313',plain,
    ( ~ cycle(e_2,e_0)
    | 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],['5','239','312']) ).

cnf('314',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_3) ),
    inference(resolution,[],['311','313']) ).

cnf('315',plain,
    cycle(e_2,e_0),
    inference(resolution,[then_simplify],['310','20','229']) ).

cnf('316',plain,
    greater(e_3,e_2),
    inference(cnf_transformation,[],[e_3_greater_e_2]) ).

cnf('317',plain,
    ( product(e_2,e_1,e_1)
    | product(e_2,e_1,e_2) ),
    inference(resolution,[then_simplify],['314','239','315','316']) ).

cnf('318',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3)
    | product(e_2,e_2,e_4) ),
    inference(resolution,[],['317','122']) ).

cnf('319',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(resolution,[then_simplify],['318','124','32']) ).

cnf('320',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_3) ),
    inference(resolution,[],['319','248']) ).

cnf('321',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,X,e_3)
    | ~ product(X,e_1,e_2) ),
    inference(resolution,[],['320','48']) ).

cnf('322',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | product(e_2,e_2,e_3) ),
    inference(resolution,[],['321','317']) ).

cnf('323',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2)
    | ~ product(X,e_2,e_3)
    | equalish(X,e_1) ),
    inference(resolution,[],['320','6']) ).

cnf('324',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2) ),
    inference(resolution,[then_simplify],['322','323','32']) ).

cnf('325',plain,
    ( product(e_1,e_2,e_1)
    | product(e_1,e_2,e_2) ),
    inference(resolution,[],['324','248']) ).

cnf('326',plain,
    ( product(e_1,e_2,e_1)
    | product(e_2,X,e_2)
    | ~ product(X,e_1,e_2) ),
    inference(resolution,[],['325','48']) ).

cnf('327',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1)
    | product(e_2,e_2,e_2) ),
    inference(resolution,[],['326','317']) ).

cnf('328',plain,
    ( product(e_1,e_2,e_1)
    | ~ product(X,e_2,e_2)
    | equalish(X,e_1) ),
    inference(resolution,[],['325','6']) ).

cnf('329',plain,
    ( product(e_2,e_1,e_1)
    | product(e_1,e_2,e_1) ),
    inference(resolution,[then_simplify],['327','328','32']) ).

cnf('330',plain,
    product(e_1,e_2,e_1),
    inference(resolution,[],['329','248']) ).

cnf('331',plain,
    $false,
    inference(resolution,[then_simplify],['330','259','32']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP129-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 01:12:34 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.39  
% 0.20/0.39  input clause set summed statistics:
% 0.20/0.39  ----------------------------------
% 0.20/0.39  in_clause_count:                    42
% 0.20/0.39  in_rule_clause_count:               23
% 0.20/0.39  in_fact_clause_count:               19
% 0.20/0.39  in_answer_clause_count:              0
% 0.20/0.39  in_ground_clause_count:             31
% 0.20/0.39  in_unit_clause_count:               31
% 0.20/0.39  in_horn_clause_count:               40
% 0.20/0.39  in_pos_clause_count:                19
% 0.20/0.39  in_neg_clause_count:                14
% 0.20/0.39  in_poseq_clause_count:               0
% 0.20/0.39  in_negeq_clause_count:               0
% 0.20/0.39  in_unitposeq_clause_count:           0
% 0.20/0.39  in_chain_clause_count:               0
% 0.20/0.39  in_min_length:             1
% 0.20/0.39  in_max_length:             6
% 0.20/0.39  in_min_depth:              1
% 0.20/0.39  in_max_depth:              1
% 0.20/0.39  in_min_size:               2
% 0.20/0.39  in_max_size:              20
% 0.20/0.39  in_min_vars:               0
% 0.20/0.39  in_max_vars:               5
% 0.20/0.39  in_extaxiom_count:                 0
% 0.20/0.39  in_axiom_count:                   41
% 0.20/0.39  in_assumption_count:               0
% 0.20/0.39  in_goal_count:                     1
% 0.20/0.39  in_neg_goal_count:                 0
% 0.20/0.39  in_pos_goal_count:                 0
% 0.20/0.39  in_posunit_goal_count:             0
% 0.20/0.39  
% 0.20/0.39  auto guide:
% 0.20/0.39  -----------
% 0.20/0.39  {
% 0.20/0.39  "print":1,
% 0.20/0.39  "print_level": 15,
% 0.20/0.39  "max_size": 0,
% 0.20/0.39  "max_depth": 0,
% 0.20/0.39  "max_length": 0,
% 0.20/0.39  "max_dseconds": 0,
% 0.20/0.39  "equality":0,
% 0.20/0.39  "runs":[
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"],  "weight_select_ratio":100, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"],  "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":250},
% 0.20/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39  
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39  {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39  {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39  {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1250},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.39  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0} 
% 0.20/0.39  
% 0.20/0.39  ]}
% 0.20/0.39  
% 0.20/0.39  
% 0.20/0.39  **** run 1 fork 0 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 2 fork 1 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 3 fork 2 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 4 fork 3 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 5 fork 4 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.39  
% 0.20/0.39  **** run 6 fork 5 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 0.20/0.39  
% 0.20/0.39  **** run 8 fork 7 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.39  
% 0.20/0.39  **** run 7 fork 6 starts with strategy
% 0.20/0.39  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.20/0.43  
% 0.20/0.43  fork 1: search finished without proof.
% 0.20/0.45  
% 0.20/0.45  **** run 10 fork 1 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.48  
% 0.20/0.48  fork 5: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  fork 7: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  **** run 14 fork 5 starts with strategy
% 0.20/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.51  
% 0.20/0.51  fork 3: search finished without proof.
% 0.20/0.51  
% 0.20/0.51  fork 0: search finished without proof.
% 0.20/0.51  
% 0.20/0.51  fork 2: search finished without proof.
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  fork 4: search terminated without proof.
% 0.20/0.52  
% 0.20/0.52  fork 6: search finished without proof.
% 0.20/0.53  
% 0.20/0.53  **** run 16 fork 7 starts with strategy
% 0.20/0.53  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.53  
% 0.20/0.53  **** run 12 fork 3 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  **** run 13 fork 4 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.20/0.53  
% 0.20/0.53  **** run 11 fork 2 starts with strategy
% 0.20/0.53  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.20/0.54  
% 0.20/0.54  **** run 9 fork 0 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.54  
% 0.20/0.54  **** run 15 fork 6 starts with strategy
% 0.20/0.54  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 0.20/0.55  
% 0.20/0.55  fork 3: search finished without proof.
% 0.20/0.57  
% 0.20/0.57  **** run 20 fork 3 starts with strategy
% 0.20/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.57  
% 0.20/0.57  fork 5: search finished without proof.
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  fork 1: search terminated without proof.
% 0.20/0.59  
% 0.20/0.59  **** run 22 fork 5 starts with strategy
% 0.20/0.59  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.20/0.59  
% 0.20/0.59  **** run 18 fork 1 starts with strategy
% 0.20/0.59  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 0.20/0.60  
% 0.20/0.60  fork 4: search finished without proof.
% 0.20/0.62  
% 0.20/0.62  **** run 21 fork 4 starts with strategy
% 0.20/0.62  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 0.20/0.64  
% 0.20/0.64  fork 7: search finished without proof.
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  fork 0: search terminated without proof.
% 0.20/0.65  
% 0.20/0.65  
% 0.20/0.65  fork 2: search terminated without proof.
% 0.20/0.65  
% 0.20/0.65  fork 6: search finished without proof.
% 0.20/0.66  
% 0.20/0.66  **** run 24 fork 7 starts with strategy
% 0.20/0.66  {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.20/0.67  
% 0.20/0.67  **** run 23 fork 6 starts with strategy
% 0.20/0.67  {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 0.20/0.67  
% 0.20/0.67  **** run 17 fork 0 starts with strategy
% 0.20/0.67  {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.20/0.67  
% 0.20/0.67  fork 5: search finished without proof.
% 0.20/0.68  
% 0.20/0.68  **** run 19 fork 2 starts with strategy
% 0.20/0.68  {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
% 0.20/0.69  
% 0.20/0.69  
% 0.20/0.69  fork 3: search terminated without proof.
% 0.20/0.69  
% 0.20/0.69  **** run 30 fork 5 starts with strategy
% 0.20/0.69  {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 0.20/0.70  
% 0.20/0.70  **** run 28 fork 3 starts with strategy
% 0.20/0.70  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  fork 1: search terminated without proof.
% 0.20/0.74  
% 0.20/0.74  **** run 26 fork 1 starts with strategy
% 0.20/0.74  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 0.20/0.75  
% 0.20/0.75  
% 0.20/0.75  fork 4: search terminated without proof.
% 0.20/0.77  
% 0.20/0.77  **** run 29 fork 4 starts with strategy
% 0.20/0.77  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 0.20/0.79  
% 0.20/0.79  
% 0.20/0.79  fork 2: search terminated without proof.
% 0.20/0.79  
% 0.20/0.79  fork 4: search finished without proof.
% 3.27/0.80  
% 3.27/0.80  
% 3.27/0.80  fork 0: search terminated without proof.
% 3.27/0.81  
% 3.27/0.81  
% 3.27/0.81  fork 6: search terminated without proof.
% 3.27/0.81  
% 3.27/0.81  **** run 27 fork 2 starts with strategy
% 3.27/0.81  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0}
% 3.27/0.81  
% 3.27/0.81  **** run 37 fork 4 starts with strategy
% 3.27/0.81  {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 3.27/0.81  
% 3.27/0.81  
% 3.27/0.81  fork 5: search terminated without proof.
% 3.27/0.82  
% 3.27/0.82  **** run 25 fork 0 starts with strategy
% 3.27/0.82  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 3.27/0.83  
% 3.27/0.83  **** run 31 fork 6 starts with strategy
% 3.27/0.83  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":2}
% 3.27/0.83  
% 3.27/0.83  **** run 38 fork 5 starts with strategy
% 3.27/0.83  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 3.27/0.84  
% 3.27/0.84  fork 4: search finished without proof.
% 3.66/0.85  
% 3.66/0.85  fork 2: search finished without proof.
% 3.66/0.86  
% 3.66/0.86  **** run 45 fork 4 starts with strategy
% 3.66/0.86  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 3.66/0.86  
% 3.66/0.86  fork 6: search finished without proof.
% 3.66/0.86  
% 3.66/0.86  **** run 35 fork 2 starts with strategy
% 3.66/0.86  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 3.66/0.86  
% 3.66/0.86  
% 3.66/0.86  fork 1: search terminated without proof.
% 3.66/0.87  
% 3.66/0.87  
% 3.66/0.87  fork 7: search terminated without proof.
% 3.66/0.87  
% 3.66/0.87  **** run 39 fork 6 starts with strategy
% 3.66/0.87  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 3.90/0.88  
% 3.90/0.88  **** run 34 fork 1 starts with strategy
% 3.90/0.88  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 3.90/0.89  
% 3.90/0.89  
% 3.90/0.89  fork 3: search terminated without proof.
% 3.90/0.89  
% 3.90/0.89  **** run 32 fork 7 starts with strategy
% 3.90/0.89  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 3.90/0.91  
% 3.90/0.91  **** run 36 fork 3 starts with strategy
% 3.90/0.91  {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.33/0.93  
% 4.33/0.93  fork 2: search finished without proof.
% 4.33/0.94  
% 4.33/0.94  fork 0: search finished without proof.
% 4.46/0.95  
% 4.46/0.95  **** run 43 fork 2 starts with strategy
% 4.46/0.95  {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.46/0.95  
% 4.46/0.95  
% 4.46/0.95  fork 5: search terminated without proof.
% 4.46/0.96  
% 4.46/0.96  **** run 33 fork 0 starts with strategy
% 4.46/0.96  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 4.46/0.97  
% 4.46/0.97  **** run 46 fork 5 starts with strategy
% 4.46/0.97  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 4.46/1.01  
% 4.46/1.01  
% 4.46/1.01  fork 1: search terminated without proof.
% 4.99/1.02  
% 4.99/1.02  fork 7: search finished without proof.
% 4.99/1.03  
% 4.99/1.03  **** run 42 fork 1 starts with strategy
% 4.99/1.03  {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.99/1.03  
% 4.99/1.03  
% 4.99/1.03  fork 3: search terminated without proof.
% 4.99/1.03  
% 4.99/1.03  **** run 40 fork 7 starts with strategy
% 4.99/1.03  {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 4.99/1.04  
% 4.99/1.04  fork 5: search finished without proof.
% 4.99/1.05  
% 4.99/1.05  **** run 44 fork 3 starts with strategy
% 4.99/1.05  {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 4.99/1.06  
% 4.99/1.06  **** run 54 fork 5 starts with strategy
% 4.99/1.06  {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 5.36/1.07  
% 5.36/1.07  fork 7: search finished without proof.
% 5.36/1.08  
% 5.36/1.08  **** run 48 fork 7 starts with strategy
% 5.36/1.08  {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 5.36/1.08  
% 5.36/1.08  
% 5.36/1.08  fork 0: search terminated without proof.
% 5.36/1.10  
% 5.36/1.10  **** run 41 fork 0 starts with strategy
% 5.36/1.10  {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 5.36/1.12  
% 5.36/1.12  fork 3: search finished without proof.
% 5.36/1.13  
% 5.36/1.13  **** run 52 fork 3 starts with strategy
% 5.36/1.13  {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 6.25/1.20  
% 6.25/1.20  fork 3: search finished without proof.
% 6.25/1.22  
% 6.25/1.22  **** run 60 fork 3 starts with strategy
% 6.25/1.22  {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 6.75/1.29  
% 6.75/1.29  fork 3: search finished without proof.
% 6.75/1.30  
% 6.75/1.30  **** run 68 fork 3 starts with strategy
% 6.75/1.30  {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 6.75/1.37  
% 6.75/1.37  
% 6.75/1.37  result: proof found
% 6.75/1.37  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 6.75/1.37  by run 41 fork 0 strategy {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 6.75/1.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 6.75/1.37  
% 6.75/1.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 6.75/1.37  
% 6.75/1.37  run 41 fork 0 statistics:
% 6.75/1.37  ----------------------------------
% 6.75/1.37  this run seconds: 0.250127
% 6.75/1.37  total seconds: 0.985583
% 6.75/1.37  stat_given_used: 1919
% 6.75/1.37  stat_given_used_at_endgame: 0
% 6.75/1.37  stat_given_candidates:   5592
% 6.75/1.37  stat_given_candidates_at_endgame: 0
% 6.75/1.37  stat_given_candidates_h: 0
% 6.75/1.37  stat_binres_derived_cl:   31468
% 6.75/1.37  stat_binres_derived_cl_h: 0
% 6.75/1.37  stat_factor_derived_cl: 183
% 6.75/1.37  stat_para_derived_cl: 0
% 6.75/1.37  stat_tautologies_discarded: 20
% 6.75/1.37  stat_forward_subsumed: 10990
% 6.75/1.37  stat_derived_cut: 14403
% 6.75/1.37  stat_derived_rewritten: 0
% 6.75/1.37  stat_weight_discarded_building: 0
% 6.75/1.37  stat_weight_discarded_cl: 0
% 6.75/1.37  stat_internlimit_discarded_cl: 0
% 6.75/1.37  stat_simplified:  15 simplified 0 derived 0 given
% 6.75/1.37  stat_kept_cl: 20640
% 6.75/1.37  stat_built_cl: 24493
% 6.75/1.37  stat_hyperres_partial_cl: 0
% 6.75/1.37  stat_made_rewriters: 0
% 6.75/1.37  stat_backward_subsumed: 0
% 6.75/1.37  stat_propagated_subsumed: 0
% 6.75/1.37  stat_clsubs_attempted:                     76505
% 6.75/1.37  stat_clsubs_fact_groundunit_found:            20
% 6.75/1.37  stat_clsubs_rule_groundunit_found:            12
% 6.75/1.37  stat_clsubs_top_meta_attempted:            4561606
% 6.75/1.37  stat_clsubs_top_meta_failed:               4485101
% 6.75/1.37  stat_clsubs_top_meta_nonpref_attempted:             4561606
% 6.75/1.37  stat_clsubs_top_meta_nonpref_succeeded:              822505
% 6.75/1.37  stat_clsubs_top_meta_pref_attempted:                 822505
% 6.75/1.37  stat_clsubs_top_meta_pref1_succeeded:                597228
% 6.75/1.37  stat_clsubs_top_meta_pref2_succeeded:                212696
% 6.75/1.37  stat_clsubs_top_meta_pref3_succeeded:                 76505
% 6.75/1.37  stat_clsubs_top_meta_pref_succeeded:                  76505
% 6.75/1.37  stat_clsubs_meta_attempted:               483475
% 6.75/1.37  stat_clsubs_meta_failed:                  245724
% 6.75/1.37  stat_clsubs_predsymbs_attempted:               0
% 6.75/1.37  stat_clsubs_unit_attempted:                    0
% 6.75/1.37  stat_clsubs_full_attempted:                76505
% 6.75/1.37  stat_forwardsubs_attempted:                31631
% 6.75/1.37  stat_lit_hash_added:                    246
% 6.75/1.37  stat_lit_hash_computed:              552203
% 6.75/1.37  stat_lit_hash_match_found:            27386
% 6.75/1.37  stat_lit_hash_match_miss:            819765
% 6.75/1.37  stat_lit_hash_cut_ok:                 15574
% 6.75/1.37  stat_lit_strong_cut_ok:                   0
% 6.75/1.37  stat_lit_hash_subsume_ok:             10990
% 6.75/1.37  clqueue els 10000000 used 1
% 6.75/1.37  clactive els 10000000 used 1920
% 6.75/1.37  clactivesubsume els 10000000 used 11263
% 6.75/1.37  queue_termbuf els 200000000 used 2191860
% 6.75/1.37  hyper_termbuf els 100000000 used 1
% 6.75/1.37  active_termbuf els 100000000 used 121621
% 6.75/1.37  varstack els 5000 last used 1
% 6.75/1.37  given_termbuf els 10000000 last used 1
% 6.75/1.37  simplified_termbuf els 10000000 last used 1
% 6.75/1.37  derived_termbuf els 10000000 last used 22
% 6.75/1.37  wr_mallocs: 4979
% 6.75/1.37  wr_callocs: 21
% 6.75/1.37  wr_reallocs: 377
% 6.75/1.37  wr_frees: 2
% 6.75/1.37  wr_malloc_bytes: 4162744228
% 6.75/1.37  wr_calloc_bytes: 112065536
% 6.75/1.37  wr_realloc_bytes: 632968
% 6.75/1.37  wr_realloc_freebytes: 0
% 6.75/1.37  ----------------------------------
%------------------------------------------------------------------------------