TSTP Solution File: GRP125-2.005 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.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 00:52:36 EDT 2023
% Result : Unsatisfiable 45.25s 6.16s
% Output : CNFRefutation 45.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
inference(cnf_transformation,[],[product_total_function1]) ).
cnf('2',plain,
group_element(e_1),
inference(cnf_transformation,[],[element_1]) ).
cnf('3',plain,
( product(X,e_1,e_5)
| product(X,e_1,e_4)
| product(X,e_1,e_3)
| product(X,e_1,e_2)
| product(X,e_1,e_1)
| ~ group_element(X) ),
inference(resolution,[],['1','2']) ).
cnf('4',plain,
group_element(e_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)
| product(e_2,e_1,e_5) ),
inference(resolution,[],['3','4']) ).
cnf('6',plain,
( ~ product(X,e_1,Y)
| ~ greater(Y,Z)
| ~ next(X,Z) ),
inference(cnf_transformation,[],[no_redundancy]) ).
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(e_2,e_1,e_4)
| ~ greater(e_5,X)
| ~ next(e_2,X) ),
inference(resolution,[],['5','6']) ).
cnf('8',plain,
greater(e_5,e_3),
inference(cnf_transformation,[],[e_5_greater_e_3]) ).
cnf('9',plain,
next(e_2,e_3),
inference(cnf_transformation,[],[e_2_then_e_3]) ).
cnf('10',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[then_simplify],['7','8','9']) ).
cnf('11',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ greater(e_4,X)
| ~ next(e_2,X) ),
inference(resolution,[],['10','6']) ).
cnf('12',plain,
greater(e_4,e_3),
inference(cnf_transformation,[],[e_4_greater_e_3]) ).
cnf('13',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[then_simplify],['11','12','9']) ).
cnf('14',plain,
group_element(e_5),
inference(cnf_transformation,[],[element_5]) ).
cnf('15',plain,
( product(X,e_5,e_5)
| product(X,e_5,e_4)
| product(X,e_5,e_3)
| product(X,e_5,e_2)
| product(X,e_5,e_1)
| ~ group_element(X) ),
inference(resolution,[],['1','14']) ).
cnf('16',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(resolution,[],['15','4']) ).
cnf('17',plain,
( ~ product(X,Y,Z)
| ~ product(U,Y,Z)
| equalish(U,X) ),
inference(cnf_transformation,[],[product_left_cancellation]) ).
cnf('18',plain,
( ~ product(X,Y,Z)
| ~ product(Y,X,U)
| product(U,Z,Y) ),
inference(cnf_transformation,[],[qg3]) ).
cnf('19',plain,
( ~ product(X,X,Y)
| product(Y,Y,X) ),
inference(factorization,[],['18']) ).
cnf('20',plain,
product(X,X,X),
inference(cnf_transformation,[],[product_idempotence]) ).
cnf('21',plain,
product(X,X,X),
inference(resolution,[],['19','20']) ).
cnf('22',plain,
( ~ product(X,Y,Y)
| equalish(X,Y) ),
inference(resolution,[],['17','21']) ).
cnf('23',plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[],[e_2_is_not_e_5]) ).
cnf('24',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(resolution,[then_simplify],['16','22','23']) ).
cnf('25',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| ~ product(X,e_5,e_4)
| equalish(X,e_2) ),
inference(resolution,[],['24','17']) ).
cnf('26',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(resolution,[],['15','2']) ).
cnf('27',plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[],[e_1_is_not_e_5]) ).
cnf('28',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['26','22','27']) ).
cnf('29',plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[],[e_1_is_not_e_2]) ).
cnf('30',plain,
( product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_5,e_3) ),
inference(resolution,[then_simplify],['25','28','29']) ).
cnf('31',plain,
( ~ product(X,Y,Z)
| ~ product(X,U,Z)
| equalish(U,Y) ),
inference(cnf_transformation,[],[product_right_cancellation]) ).
cnf('32',plain,
( product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_3)
| ~ product(e_2,X,e_3)
| equalish(X,e_5) ),
inference(resolution,[],['30','31']) ).
cnf('33',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['13','32','27']) ).
cnf('34',plain,
( ~ product(X,Y,X)
| equalish(Y,X) ),
inference(resolution,[],['31','21']) ).
cnf('35',plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[],[e_5_is_not_e_2]) ).
cnf('36',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['33','34','35']) ).
cnf('37',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| ~ product(X,e_5,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['36','17']) ).
cnf('38',plain,
group_element(e_4),
inference(cnf_transformation,[],[element_4]) ).
cnf('39',plain,
( product(X,e_4,e_5)
| product(X,e_4,e_4)
| product(X,e_4,e_3)
| product(X,e_4,e_2)
| product(X,e_4,e_1)
| ~ group_element(X) ),
inference(resolution,[],['1','38']) ).
cnf('40',plain,
group_element(e_3),
inference(cnf_transformation,[],[element_3]) ).
cnf('41',plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(resolution,[],['39','40']) ).
cnf('42',plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| ~ product(X,e_4,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['41','17']) ).
cnf('43',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(X,e_1,e_3)
| equalish(X,e_2) ),
inference(resolution,[],['13','17']) ).
cnf('44',plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(resolution,[],['3','14']) ).
cnf('45',plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(resolution,[then_simplify],['44','34','27']) ).
cnf('46',plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_1,e_5,X)
| product(X,e_4,e_1) ),
inference(resolution,[],['45','18']) ).
cnf('47',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_4,e_1)
| product(e_1,e_5,e_3) ),
inference(resolution,[],['46','28']) ).
cnf('48',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_4,e_1)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['43','47','35']) ).
cnf('49',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| ~ product(e_5,e_1,X)
| product(X,e_4,e_5) ),
inference(resolution,[],['28','18']) ).
cnf('50',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_4,e_1)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(resolution,[],['48','49']) ).
cnf('51',plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[],[e_5_is_not_e_1]) ).
cnf('52',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_4,e_1)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['50','22','51']) ).
cnf('53',plain,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(U,Z) ),
inference(cnf_transformation,[],[product_total_function2]) ).
cnf('54',plain,
( ~ product(X,X,Y)
| equalish(Y,X) ),
inference(resolution,[],['53','21']) ).
cnf('55',plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[],[e_1_is_not_e_4]) ).
cnf('56',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['52','54','55']) ).
cnf('57',plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[],[e_2_is_not_e_3]) ).
cnf('58',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(resolution,[then_simplify],['42','56','57']) ).
cnf('59',plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[],[e_3_is_not_e_4]) ).
cnf('60',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_4,e_3) ),
inference(resolution,[then_simplify],['58','22','59']) ).
cnf('61',plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[],[e_4_is_not_e_3]) ).
cnf('62',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['60','34','61']) ).
cnf('63',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| ~ product(X,e_5,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['28','17']) ).
cnf('64',plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(resolution,[],['15','40']) ).
cnf('65',plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[],[e_3_is_not_e_5]) ).
cnf('66',plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(resolution,[then_simplify],['64','22','65']) ).
cnf('67',plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[],[e_3_is_not_e_1]) ).
cnf('68',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3) ),
inference(resolution,[then_simplify],['63','66','67']) ).
cnf('69',plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[],[e_5_is_not_e_3]) ).
cnf('70',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(resolution,[then_simplify],['68','34','69']) ).
cnf('71',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_3)
| ~ product(e_3,X,e_2)
| equalish(X,e_5) ),
inference(resolution,[],['70','31']) ).
cnf('72',plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[],[e_4_is_not_e_5]) ).
cnf('73',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['62','71','72']) ).
cnf('74',plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[],[e_3_is_not_e_2]) ).
cnf('75',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['37','73','74']) ).
cnf('76',plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(resolution,[],['39','14']) ).
cnf('77',plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(resolution,[then_simplify],['76','34','72']) ).
cnf('78',plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[],[e_5_is_not_e_4]) ).
cnf('79',plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(resolution,[then_simplify],['77','22','78']) ).
cnf('80',plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| ~ product(e_4,e_5,X)
| product(X,e_3,e_4) ),
inference(resolution,[],['79','18']) ).
cnf('81',plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(resolution,[],['15','38']) ).
cnf('82',plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(resolution,[then_simplify],['81','22','72']) ).
cnf('83',plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(resolution,[then_simplify],['82','34','78']) ).
cnf('84',plain,
( product(e_5,e_4,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_3,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(resolution,[],['80','83']) ).
cnf('85',plain,
( product(e_5,e_4,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_5,X)
| product(X,e_2,e_4) ),
inference(resolution,[],['84','18']) ).
cnf('86',plain,
( product(e_3,e_2,e_4)
| product(e_5,e_4,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(resolution,[],['85','83']) ).
cnf('87',plain,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_5,e_2)
| ~ product(X,e_4,e_1)
| equalish(X,e_5) ),
inference(resolution,[],['86','17']) ).
cnf('88',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(resolution,[then_simplify],['75','87','65']) ).
cnf('89',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_3)
| ~ product(X,e_5,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['70','17']) ).
cnf('90',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_3,e_4) ),
inference(resolution,[then_simplify],['88','89','61']) ).
cnf('91',plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[],[e_4_is_not_e_2]) ).
cnf('92',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_3,e_4) ),
inference(resolution,[then_simplify],['90','37','91']) ).
cnf('93',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_3,e_4) ),
inference(resolution,[then_simplify],['92','37','74']) ).
cnf('94',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['93','54','61']) ).
cnf('95',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(resolution,[],['3','40']) ).
cnf('96',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ greater(e_5,X)
| ~ next(e_3,X) ),
inference(resolution,[],['95','6']) ).
cnf('97',plain,
greater(e_5,e_4),
inference(cnf_transformation,[],[e_5_greater_e_4]) ).
cnf('98',plain,
next(e_3,e_4),
inference(cnf_transformation,[],[e_3_then_e_4]) ).
cnf('99',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[then_simplify],['96','97','98']) ).
cnf('100',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,X,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['99','31']) ).
cnf('101',plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[],[e_2_is_not_e_1]) ).
cnf('102',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['94','100','101']) ).
cnf('103',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['102','43','74']) ).
cnf('104',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['103','71','27']) ).
cnf('105',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['104','37','74']) ).
cnf('106',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['105','22','67']) ).
cnf('107',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['106','34','29']) ).
cnf('108',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(resolution,[then_simplify],['107','22','101']) ).
cnf('109',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| ~ product(e_5,e_1,X)
| product(X,e_3,e_5) ),
inference(resolution,[],['108','18']) ).
cnf('110',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_5) ),
inference(resolution,[],['109','45']) ).
cnf('111',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5) ),
inference(resolution,[],['110','109']) ).
cnf('112',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5) ),
inference(resolution,[],['111','109']) ).
cnf('113',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_3,e_5) ),
inference(resolution,[then_simplify],['112','22','51']) ).
cnf('114',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| ~ product(e_4,X,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['113','31']) ).
cnf('115',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_5,e_1,e_3) ),
inference(resolution,[],['108','46']) ).
cnf('116',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5) ),
inference(resolution,[],['109','115']) ).
cnf('117',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[],['116','109']) ).
cnf('118',plain,
( product(e_1,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['117','22','51']) ).
cnf('119',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| ~ product(e_3,X,e_1)
| equalish(X,e_4) ),
inference(resolution,[],['118','31']) ).
cnf('120',plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(X,e_1,e_4)
| equalish(X,e_5) ),
inference(resolution,[],['45','17']) ).
cnf('121',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(resolution,[then_simplify],['99','120','65']) ).
cnf('122',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_5) ),
inference(resolution,[],['109','121']) ).
cnf('123',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[],['122','109']) ).
cnf('124',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['123','22','51']) ).
cnf('125',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['124','54','69']) ).
cnf('126',plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[e_1_is_not_e_3]) ).
cnf('127',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['125','34','126']) ).
cnf('128',plain,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_3,e_5,e_3) ),
inference(resolution,[then_simplify],['25','66','74']) ).
cnf('129',plain,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_3) ),
inference(resolution,[then_simplify],['128','34','69']) ).
cnf('130',plain,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| ~ product(e_3,X,e_2)
| equalish(X,e_5) ),
inference(resolution,[],['129','31']) ).
cnf('131',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['127','130','27']) ).
cnf('132',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['119','131','78']) ).
cnf('133',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['132','54','69']) ).
cnf('134',plain,
( product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['133','22','67']) ).
cnf('135',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| ~ product(X,e_5,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['108','17']) ).
cnf('136',plain,
( product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['134','135','101']) ).
cnf('137',plain,
( product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['136','34','35']) ).
cnf('138',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_2,X)
| product(X,e_1,e_5) ),
inference(resolution,[],['137','18']) ).
cnf('139',plain,
( product(X,e_2,e_5)
| product(X,e_2,e_4)
| product(X,e_2,e_3)
| product(X,e_2,e_2)
| product(X,e_2,e_1)
| ~ group_element(X) ),
inference(resolution,[],['1','4']) ).
cnf('140',plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(resolution,[],['139','14']) ).
cnf('141',plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(resolution,[then_simplify],['140','34','23']) ).
cnf('142',plain,
( product(e_1,e_5,e_1)
| product(e_5,e_2,e_1)
| product(e_1,e_5,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(resolution,[],['138','141']) ).
cnf('143',plain,
( product(e_1,e_5,e_1)
| product(e_5,e_2,e_1)
| product(e_1,e_5,e_2)
| product(e_5,e_2,e_2)
| product(e_3,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(resolution,[],['142','138']) ).
cnf('144',plain,
( product(e_1,e_5,e_1)
| product(e_5,e_2,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['143','22','35']) ).
cnf('145',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(resolution,[],['144','138']) ).
cnf('146',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['114','145','126']) ).
cnf('147',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['146','54','69']) ).
cnf('148',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ greater(e_5,X)
| ~ next(e_3,X) ),
inference(resolution,[],['147','6']) ).
cnf('149',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['148','97','98']) ).
cnf('150',plain,
( product(X,e_3,e_5)
| product(X,e_3,e_4)
| product(X,e_3,e_3)
| product(X,e_3,e_2)
| product(X,e_3,e_1)
| ~ group_element(X) ),
inference(resolution,[],['1','40']) ).
cnf('151',plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(resolution,[],['150','38']) ).
cnf('152',plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| ~ product(X,e_3,e_5)
| equalish(X,e_4) ),
inference(resolution,[],['151','17']) ).
cnf('153',plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[],[e_2_is_not_e_4]) ).
cnf('154',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(resolution,[then_simplify],['149','152','153']) ).
cnf('155',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(resolution,[then_simplify],['154','34','59']) ).
cnf('156',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,[then_simplify],['155','22','61']) ).
cnf('157',plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| ~ product(X,e_5,e_3)
| equalish(X,e_4) ),
inference(resolution,[],['83','17']) ).
cnf('158',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(resolution,[then_simplify],['108','157','55']) ).
cnf('159',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ product(e_4,X,e_2)
| equalish(X,e_5) ),
inference(resolution,[],['158','31']) ).
cnf('160',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[then_simplify],['156','159','65']) ).
cnf('161',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| ~ product(e_5,e_4,X)
| product(X,e_1,e_5) ),
inference(resolution,[],['160','18']) ).
cnf('162',plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(resolution,[],['139','40']) ).
cnf('163',plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_3,X)
| product(X,e_5,e_2) ),
inference(resolution,[],['162','18']) ).
cnf('164',plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_5,e_2) ),
inference(resolution,[],['149','163']) ).
cnf('165',plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(resolution,[then_simplify],['164','54','23']) ).
cnf('166',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_2,X)
| product(X,e_5,e_3) ),
inference(resolution,[],['149','18']) ).
cnf('167',plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(resolution,[],['165','166']) ).
cnf('168',plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[],[e_4_is_not_e_1]) ).
cnf('169',plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['167','135','168']) ).
cnf('170',plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['169','34','57']) ).
cnf('171',plain,
( product(e_3,e_2,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['170','22','74']) ).
cnf('172',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_2,e_3,X)
| product(X,e_1,e_2) ),
inference(resolution,[],['171','18']) ).
cnf('173',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_1,e_5,e_2) ),
inference(resolution,[],['172','149']) ).
cnf('174',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| ~ product(e_5,e_2,X)
| product(X,e_4,e_5) ),
inference(resolution,[],['24','18']) ).
cnf('175',plain,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_2,e_2)
| product(e_2,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_5,e_3)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['141','174']) ).
cnf('176',plain,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_2,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_4,e_4,e_5)
| ~ product(e_2,e_5,X)
| product(X,e_3,e_2) ),
inference(resolution,[],['175','18']) ).
cnf('177',plain,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['176','24']) ).
cnf('178',plain,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_4,e_4,e_5) ),
inference(resolution,[then_simplify],['177','22','35']) ).
cnf('179',plain,
( product(e_2,e_5,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['178','174']) ).
cnf('180',plain,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_2,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['175','174']) ).
cnf('181',plain,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_4,e_4,e_5) ),
inference(resolution,[then_simplify],['180','22','35']) ).
cnf('182',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['181','174']) ).
cnf('183',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| product(e_3,e_4,e_5) ),
inference(resolution,[then_simplify],['182','54','78']) ).
cnf('184',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| ~ product(X,e_4,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['183','17']) ).
cnf('185',plain,
( product(e_2,e_5,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['179','184','61']) ).
cnf('186',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| ~ product(e_3,e_4,X)
| product(X,e_2,e_3) ),
inference(resolution,[],['185','18']) ).
cnf('187',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[],['186','183']) ).
cnf('188',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| ~ product(e_5,X,e_3)
| equalish(X,e_2) ),
inference(resolution,[],['187','31']) ).
cnf('189',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_5,e_4,e_1)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| product(e_5,e_4,e_2) ),
inference(resolution,[then_simplify],['79','188','91']) ).
cnf('190',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_5,e_4,e_1)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| ~ product(e_5,X,e_2)
| equalish(X,e_4) ),
inference(resolution,[],['189','31']) ).
cnf('191',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_5,e_4,e_1)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['173','190','55']) ).
cnf('192',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[],['161','191']) ).
cnf('193',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| ~ product(e_4,e_3,X)
| equalish(X,e_2) ),
inference(resolution,[],['185','53']) ).
cnf('194',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['192','193','29']) ).
cnf('195',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['194','135','101']) ).
cnf('196',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['195','34','35']) ).
cnf('197',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(X,e_5,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['137','17']) ).
cnf('198',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(resolution,[],['3','38']) ).
cnf('199',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,X,e_5)
| equalish(X,e_1) ),
inference(resolution,[],['198','31']) ).
cnf('200',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_4,e_1,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['113','199','67']) ).
cnf('201',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_4,e_1,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['200','34','55']) ).
cnf('202',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['201','43','91']) ).
cnf('203',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_5,e_1)
| product(e_1,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['202','159','27']) ).
cnf('204',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_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['197','203','91']) ).
cnf('205',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['204','22','168']) ).
cnf('206',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(resolution,[then_simplify],['205','54','69']) ).
cnf('207',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)
| product(e_2,e_4,e_5) ),
inference(resolution,[],['39','4']) ).
cnf('208',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)
| ~ product(e_2,X,e_5)
| equalish(X,e_4) ),
inference(resolution,[],['207','31']) ).
cnf('209',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(resolution,[then_simplify],['206','208','59']) ).
cnf('210',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_4,e_3) ),
inference(resolution,[then_simplify],['209','22','153']) ).
cnf('211',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_2,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['13','31']) ).
cnf('212',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['210','211','168']) ).
cnf('213',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['212','34','91']) ).
cnf('214',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| ~ product(e_2,X,e_1)
| equalish(X,e_4) ),
inference(resolution,[],['213','31']) ).
cnf('215',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['196','214','78']) ).
cnf('216',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| ~ product(X,e_1,e_2)
| equalish(X,e_5) ),
inference(resolution,[],['173','17']) ).
cnf('217',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['215','216','23']) ).
cnf('218',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['217','22','101']) ).
cnf('219',plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(resolution,[],['150','14']) ).
cnf('220',plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4) ),
inference(resolution,[then_simplify],['219','34','65']) ).
cnf('221',plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| ~ product(e_5,e_3,X)
| product(X,e_4,e_5) ),
inference(resolution,[],['66','18']) ).
cnf('222',plain,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_3)
| product(e_3,e_5,e_3)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['220','221']) ).
cnf('223',plain,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_4,e_4,e_5) ),
inference(resolution,[then_simplify],['222','22','69']) ).
cnf('224',plain,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_2,e_4,e_5)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['223','221']) ).
cnf('225',plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_5)
| product(e_3,e_5,e_3)
| product(e_2,e_4,e_5)
| product(e_4,e_4,e_5) ),
inference(resolution,[],['224','221']) ).
cnf('226',plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_5)
| product(e_3,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['225','54','78']) ).
cnf('227',plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['226','34','69']) ).
cnf('228',plain,
( product(e_3,e_5,e_1)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5)
| ~ product(X,e_5,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['227','17']) ).
cnf('229',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['218','228','126']) ).
cnf('230',plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| ~ product(e_3,e_5,X)
| product(X,e_4,e_3) ),
inference(resolution,[],['220','18']) ).
cnf('231',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_1,e_4,e_5)
| product(e_5,e_3,e_3)
| product(e_2,e_4,e_5) ),
inference(resolution,[],['229','230']) ).
cnf('232',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['231','22','69']) ).
cnf('233',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| ~ product(X,e_3,e_2)
| equalish(X,e_4) ),
inference(resolution,[],['185','17']) ).
cnf('234',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_5,e_3,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['232','233','78']) ).
cnf('235',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5)
| ~ product(e_5,e_3,X)
| product(X,e_1,e_5) ),
inference(resolution,[],['229','18']) ).
cnf('236',plain,
( ~ product(e_5,e_3,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(factorization,[],['235']) ).
cnf('237',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[],['234','236']) ).
cnf('238',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_1,e_4,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['237','157','153']) ).
cnf('239',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_5,e_2) ),
inference(resolution,[],['206','163']) ).
cnf('240',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(resolution,[then_simplify],['239','54','23']) ).
cnf('241',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_2,X)
| product(X,e_5,e_3) ),
inference(resolution,[],['206','18']) ).
cnf('242',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(resolution,[],['240','241']) ).
cnf('243',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_3,e_2,e_3)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['242','135','168']) ).
cnf('244',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['243','34','57']) ).
cnf('245',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['244','22','74']) ).
cnf('246',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| ~ product(e_2,e_3,X)
| product(X,e_1,e_2) ),
inference(resolution,[],['245','18']) ).
cnf('247',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_5,e_2) ),
inference(resolution,[],['246','206']) ).
cnf('248',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_5,e_4,e_1)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['247','190','55']) ).
cnf('249',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| ~ product(X,e_4,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['213','17']) ).
cnf('250',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['248','249','35']) ).
cnf('251',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['250','135','101']) ).
cnf('252',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['251','34','35']) ).
cnf('253',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['252','214','78']) ).
cnf('254',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['253','34','29']) ).
cnf('255',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['254','22','101']) ).
cnf('256',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_5)
| ~ product(X,e_5,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['255','17']) ).
cnf('257',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['238','256','168']) ).
cnf('258',plain,
( product(e_1,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['255','228','126']) ).
cnf('259',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5)
| ~ product(X,e_5,e_1)
| equalish(X,e_3) ),
inference(resolution,[],['258','17']) ).
cnf('260',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_2)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['257','259','61']) ).
cnf('261',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['260','256','101']) ).
cnf('262',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['261','259','57']) ).
cnf('263',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5)
| ~ product(e_2,e_4,X)
| equalish(X,e_5) ),
inference(resolution,[],['262','53']) ).
cnf('264',plain,
( product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[],['255','46']) ).
cnf('265',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['264','43','35']) ).
cnf('266',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_5)
| ~ product(e_5,e_1,X)
| product(X,e_2,e_5) ),
inference(resolution,[],['255','18']) ).
cnf('267',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[],['265','266']) ).
cnf('268',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['267','22','51']) ).
cnf('269',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['263','268','27']) ).
cnf('270',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['269','54','35']) ).
cnf('271',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['270','34','29']) ).
cnf('272',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['271','22','101']) ).
cnf('273',plain,
( product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['272','34','51']) ).
cnf('274',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)
| ~ product(X,e_4,e_5)
| equalish(X,e_2) ),
inference(resolution,[],['207','17']) ).
cnf('275',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(resolution,[then_simplify],['273','274','29']) ).
cnf('276',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(resolution,[then_simplify],['275','22','153']) ).
cnf('277',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(resolution,[then_simplify],['276','211','168']) ).
cnf('278',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3) ),
inference(resolution,[then_simplify],['277','34','91']) ).
cnf('279',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| ~ product(X,e_4,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['278','17']) ).
cnf('280',plain,
( product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(resolution,[then_simplify],['273','42','126']) ).
cnf('281',plain,
( product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(resolution,[then_simplify],['280','22','59']) ).
cnf('282',plain,
( product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(resolution,[then_simplify],['281','34','61']) ).
cnf('283',plain,
( product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_3)
| ~ product(e_3,X,e_2)
| equalish(X,e_4) ),
inference(resolution,[],['282','31']) ).
cnf('284',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(resolution,[],['161','79']) ).
cnf('285',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_5,X,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['173','31']) ).
cnf('286',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5)
| product(e_5,e_4,e_1) ),
inference(resolution,[then_simplify],['284','285','168']) ).
cnf('287',plain,
( ~ product(e_5,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(factorization,[],['161']) ).
cnf('288',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5) ),
inference(resolution,[],['286','287']) ).
cnf('289',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5)
| ~ product(e_4,X,e_1)
| equalish(X,e_3) ),
inference(resolution,[],['288','31']) ).
cnf('290',plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| ~ product(e_3,X,e_4)
| equalish(X,e_5) ),
inference(resolution,[],['66','31']) ).
cnf('291',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3) ),
inference(resolution,[then_simplify],['99','290','27']) ).
cnf('292',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(resolution,[then_simplify],['291','34','69']) ).
cnf('293',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_5,e_1)
| ~ product(X,e_5,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['292','17']) ).
cnf('294',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(resolution,[then_simplify],['158','293','61']) ).
cnf('295',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_5) ),
inference(resolution,[then_simplify],['289','294','69']) ).
cnf('296',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_3,X,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['171','31']) ).
cnf('297',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_5) ),
inference(resolution,[then_simplify],['295','296','35']) ).
cnf('298',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_1,X)
| equalish(X,e_4) ),
inference(resolution,[],['99','53']) ).
cnf('299',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['297','298','78']) ).
cnf('300',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['299','34','126']) ).
cnf('301',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['300','216','65']) ).
cnf('302',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_2) ),
inference(resolution,[then_simplify],['301','22','67']) ).
cnf('303',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| ~ product(e_5,e_1,X)
| product(X,e_2,e_5) ),
inference(resolution,[],['302','18']) ).
cnf('304',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_5,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(resolution,[then_simplify],['121','43','35']) ).
cnf('305',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_5,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5) ),
inference(resolution,[],['303','304']) ).
cnf('306',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5) ),
inference(resolution,[then_simplify],['305','22','51']) ).
cnf('307',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5) ),
inference(resolution,[then_simplify],['306','43','74']) ).
cnf('308',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_5) ),
inference(resolution,[then_simplify],['283','307','55']) ).
cnf('309',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_5) ),
inference(resolution,[then_simplify],['279','308','74']) ).
cnf('310',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_5) ),
inference(resolution,[then_simplify],['309','22','67']) ).
cnf('311',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3) ),
inference(resolution,[then_simplify],['310','54','35']) ).
cnf('312',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3) ),
inference(resolution,[then_simplify],['311','34','29']) ).
cnf('313',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_3) ),
inference(resolution,[then_simplify],['312','22','101']) ).
cnf('314',plain,
( product(e_1,e_1,e_5)
| product(e_1,e_4,e_3) ),
inference(resolution,[then_simplify],['313','34','51']) ).
cnf('315',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_1,e_4,X)
| product(X,e_5,e_1) ),
inference(resolution,[],['198','18']) ).
cnf('316',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(resolution,[],['314','315']) ).
cnf('317',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_1) ),
inference(resolution,[then_simplify],['316','34','55']) ).
cnf('318',plain,
( product(e_1,e_1,e_5)
| ~ product(e_4,e_1,X)
| product(X,e_3,e_4) ),
inference(resolution,[],['314','18']) ).
cnf('319',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_3,e_4) ),
inference(resolution,[],['317','318']) ).
cnf('320',plain,
( product(e_4,e_1,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(resolution,[],['319','318']) ).
cnf('321',plain,
( product(e_1,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(resolution,[then_simplify],['320','22','168']) ).
cnf('322',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| ~ product(e_3,e_5,X)
| equalish(X,e_1) ),
inference(resolution,[],['321','53']) ).
cnf('323',plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(resolution,[],['139','38']) ).
cnf('324',plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| ~ product(e_2,e_4,X)
| product(X,e_5,e_2) ),
inference(resolution,[],['323','18']) ).
cnf('325',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)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_5,e_5,e_2) ),
inference(resolution,[],['207','324']) ).
cnf('326',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)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_4) ),
inference(resolution,[then_simplify],['325','54','23']) ).
cnf('327',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)
| product(e_2,e_4,e_4) ),
inference(resolution,[then_simplify],['326','34','153']) ).
cnf('328',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)
| ~ product(e_4,e_2,X)
| product(X,e_5,e_4) ),
inference(resolution,[],['207','18']) ).
cnf('329',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,e_4,e_4)
| product(e_3,e_5,e_4) ),
inference(resolution,[],['327','328']) ).
cnf('330',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_2,e_4,e_4)
| product(e_3,e_5,e_4) ),
inference(resolution,[then_simplify],['329','22','91']) ).
cnf('331',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)
| product(e_1,e_5,e_4)
| product(e_3,e_5,e_4) ),
inference(resolution,[],['330','328']) ).
cnf('332',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['322','331','168']) ).
cnf('333',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['332','54','61']) ).
cnf('334',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['333','22','153']) ).
cnf('335',plain,
( product(e_1,e_1,e_5)
| ~ product(X,e_4,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['314','17']) ).
cnf('336',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['334','335','101']) ).
cnf('337',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['336','34','91']) ).
cnf('338',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4)
| ~ product(e_4,e_2,X)
| product(X,e_1,e_4) ),
inference(resolution,[],['337','18']) ).
cnf('339',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4)
| ~ product(X,e_4,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['337','17']) ).
cnf('340',plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| ~ product(X,e_4,e_3)
| equalish(X,e_5) ),
inference(resolution,[],['79','17']) ).
cnf('341',plain,
( product(e_1,e_1,e_5)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(resolution,[then_simplify],['314','340','27']) ).
cnf('342',plain,
( product(e_1,e_1,e_5)
| product(e_5,e_4,e_1)
| ~ product(e_5,X,e_2)
| equalish(X,e_4) ),
inference(resolution,[],['341','31']) ).
cnf('343',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_2,e_5) ),
inference(resolution,[],['303','45']) ).
cnf('344',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[],['343','303']) ).
cnf('345',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_4,e_1)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[then_simplify],['342','344','55']) ).
cnf('346',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_4,e_2,e_5) ),
inference(resolution,[then_simplify],['339','345','35']) ).
cnf('347',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_4,e_2,e_5) ),
inference(resolution,[then_simplify],['346','22','51']) ).
cnf('348',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[],['338','347']) ).
cnf('349',plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| ~ product(e_5,X,e_4)
| equalish(X,e_3) ),
inference(resolution,[],['220','31']) ).
cnf('350',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_5,e_3,e_3) ),
inference(resolution,[then_simplify],['348','349','126']) ).
cnf('351',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['350','22','69']) ).
cnf('352',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_4,e_1)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['351','342','59']) ).
cnf('353',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['352','339','35']) ).
cnf('354',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| ~ product(e_5,e_3,X)
| product(X,e_1,e_5) ),
inference(resolution,[],['321','18']) ).
cnf('355',plain,
( ~ product(e_5,e_3,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(factorization,[],['354']) ).
cnf('356',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[],['353','355']) ).
cnf('357',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['356','54','61']) ).
cnf('358',plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_3,X,e_5)
| equalish(X,e_4) ),
inference(resolution,[],['41','31']) ).
cnf('359',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_3)
| product(e_1,e_5,e_4)
| product(e_3,e_4,e_4) ),
inference(resolution,[then_simplify],['357','358','153']) ).
cnf('360',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_3)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['359','22','59']) ).
cnf('361',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['360','335','67']) ).
cnf('362',plain,
( product(e_1,e_1,e_5)
| product(e_5,e_4,e_1)
| ~ product(X,e_4,e_2)
| equalish(X,e_5) ),
inference(resolution,[],['341','17']) ).
cnf('363',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_4,e_1)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['361','362','65']) ).
cnf('364',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['363','339','35']) ).
cnf('365',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['364','339','74']) ).
cnf('366',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_4)
| ~ product(e_2,e_3,X)
| equalish(X,e_4) ),
inference(resolution,[],['365','53']) ).
cnf('367',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[],['344','303']) ).
cnf('368',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[then_simplify],['367','22','51']) ).
cnf('369',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(resolution,[then_simplify],['368','199','101']) ).
cnf('370',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_4,e_1,e_3)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(resolution,[then_simplify],['369','34','55']) ).
cnf('371',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(resolution,[],['318','370']) ).
cnf('372',plain,
( product(e_4,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(resolution,[],['371','318']) ).
cnf('373',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(resolution,[then_simplify],['372','22','168']) ).
cnf('374',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(resolution,[then_simplify],['373','54','61']) ).
cnf('375',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(resolution,[then_simplify],['374','358','153']) ).
cnf('376',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_4,e_3) ),
inference(resolution,[then_simplify],['375','22','59']) ).
cnf('377',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5) ),
inference(resolution,[then_simplify],['376','335','67']) ).
cnf('378',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_5,e_4,e_1) ),
inference(resolution,[then_simplify],['377','362','65']) ).
cnf('379',plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| ~ product(e_5,e_4,X)
| product(X,e_3,e_5) ),
inference(resolution,[],['83','18']) ).
cnf('380',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(resolution,[],['378','379']) ).
cnf('381',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| ~ product(X,e_5,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['302','17']) ).
cnf('382',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5)
| product(e_4,e_5,e_1) ),
inference(resolution,[then_simplify],['380','381','168']) ).
cnf('383',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| ~ product(X,e_5,e_1)
| equalish(X,e_3) ),
inference(resolution,[],['321','17']) ).
cnf('384',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_4) ),
inference(resolution,[then_simplify],['382','383','61']) ).
cnf('385',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| ~ product(e_3,X,e_1)
| equalish(X,e_5) ),
inference(resolution,[],['321','31']) ).
cnf('386',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_4) ),
inference(resolution,[then_simplify],['384','385','72']) ).
cnf('387',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[then_simplify],['386','54','61']) ).
cnf('388',plain,
( product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(resolution,[],['302','46']) ).
cnf('389',plain,
( product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(resolution,[],['303','388']) ).
cnf('390',plain,
( product(e_5,e_1,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(resolution,[],['389','303']) ).
cnf('391',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(resolution,[then_simplify],['390','22','51']) ).
cnf('392',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| ~ product(e_2,e_3,X)
| product(X,e_5,e_2) ),
inference(resolution,[],['391','18']) ).
cnf('393',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5)
| product(e_4,e_5,e_2) ),
inference(resolution,[],['387','392']) ).
cnf('394',plain,
( product(e_2,e_4,e_1)
| product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[then_simplify],['393','381','168']) ).
cnf('395',plain,
( product(e_5,e_4,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5) ),
inference(resolution,[],['79','379']) ).
cnf('396',plain,
( product(e_5,e_4,e_1)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5) ),
inference(resolution,[],['395','379']) ).
cnf('397',plain,
( product(e_1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_2)
| product(e_3,e_3,e_5) ),
inference(resolution,[],['396','379']) ).
cnf('398',plain,
( product(e_1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| ~ product(X,e_5,e_2)
| equalish(X,e_4) ),
inference(resolution,[],['397','17']) ).
cnf('399',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_5)
| product(e_3,e_3,e_5) ),
inference(resolution,[then_simplify],['255','398','55']) ).
cnf('400',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['259','399','61']) ).
cnf('401',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['400','54','69']) ).
cnf('402',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_5)
| ~ product(e_2,e_4,X)
| equalish(X,e_5) ),
inference(resolution,[],['401','53']) ).
cnf('403',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['394','402','27']) ).
cnf('404',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['366','403','78']) ).
cnf('405',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['404','54','35']) ).
cnf('406',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_5)
| ~ product(e_1,e_5,X)
| equalish(X,e_2) ),
inference(resolution,[],['255','53']) ).
cnf('407',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['405','406','91']) ).
cnf('408',plain,
( product(e_1,e_1,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['407','34','51']) ).
cnf('409',plain,
( product(e_1,e_1,e_5)
| ~ product(e_1,e_4,X)
| equalish(X,e_3) ),
inference(resolution,[],['314','53']) ).
cnf('410',plain,
( product(e_1,e_1,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[then_simplify],['408','409','69']) ).
cnf('411',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_3,X)
| product(X,e_4,e_1) ),
inference(resolution,[],['99','18']) ).
cnf('412',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_1,e_5)
| product(e_5,e_4,e_1) ),
inference(resolution,[],['410','411']) ).
cnf('413',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['412','339','35']) ).
cnf('414',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['413','34','126']) ).
cnf('415',plain,
( product(e_1,e_1,e_5)
| ~ product(e_3,e_1,X)
| product(X,e_5,e_3) ),
inference(resolution,[],['410','18']) ).
cnf('416',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(resolution,[],['414','415']) ).
cnf('417',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['416','22','67']) ).
cnf('418',plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_4,e_3,X)
| product(X,e_5,e_4) ),
inference(resolution,[],['41','18']) ).
cnf('419',plain,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_5,e_5,e_4) ),
inference(resolution,[],['418','151']) ).
cnf('420',plain,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(resolution,[then_simplify],['419','54','72']) ).
cnf('421',plain,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(resolution,[then_simplify],['420','34','59']) ).
cnf('422',plain,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(resolution,[then_simplify],['421','22','61']) ).
cnf('423',plain,
( product(e_4,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(resolution,[],['422','418']) ).
cnf('424',plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_5,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(resolution,[],['423','418']) ).
cnf('425',plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(resolution,[then_simplify],['424','22','59']) ).
cnf('426',plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(resolution,[then_simplify],['425','34','61']) ).
cnf('427',plain,
( product(e_3,e_4,e_1)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_4)
| ~ product(X,e_4,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['426','17']) ).
cnf('428',plain,
( product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_5,e_4,e_1)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(resolution,[then_simplify],['341','427','69']) ).
cnf('429',plain,
( product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(resolution,[then_simplify],['339','428','35']) ).
cnf('430',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(resolution,[then_simplify],['429','339','74']) ).
cnf('431',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4)
| ~ product(e_2,e_5,X)
| equalish(X,e_4) ),
inference(resolution,[],['430','53']) ).
cnf('432',plain,
( product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['417','431','59']) ).
cnf('433',plain,
( product(e_1,e_1,e_5)
| product(e_1,e_5,e_4)
| ~ product(e_3,e_2,X)
| product(X,e_4,e_3) ),
inference(resolution,[],['432','18']) ).
cnf('434',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['339','378','35']) ).
cnf('435',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['434','339','74']) ).
cnf('436',plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| ~ product(e_2,X,e_4)
| equalish(X,e_5) ),
inference(resolution,[],['24','31']) ).
cnf('437',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['435','436','65']) ).
cnf('438',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_1,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(resolution,[then_simplify],['437','157','153']) ).
cnf('439',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_4,e_5,e_1)
| product(e_1,e_5,e_4) ),
inference(resolution,[then_simplify],['438','381','168']) ).
cnf('440',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['439','259','61']) ).
cnf('441',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['440','256','101']) ).
cnf('442',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(resolution,[then_simplify],['441','259','57']) ).
cnf('443',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_1,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[],['266','45']) ).
cnf('444',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[],['443','266']) ).
cnf('445',plain,
( product(e_5,e_1,e_1)
| product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[],['444','266']) ).
cnf('446',plain,
( product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_4,e_5)
| product(e_4,e_2,e_5) ),
inference(resolution,[then_simplify],['445','22','51']) ).
cnf('447',plain,
( product(e_1,e_5,e_1)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_4,e_5)
| ~ product(e_2,e_4,X)
| product(X,e_5,e_2) ),
inference(resolution,[],['446','18']) ).
cnf('448',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5)
| product(e_5,e_5,e_2) ),
inference(resolution,[],['442','447']) ).
cnf('449',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['448','256','51']) ).
cnf('450',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5)
| product(e_5,e_4,e_3) ),
inference(resolution,[],['433','449']) ).
cnf('451',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['450','335','51']) ).
cnf('452',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['451','54','35']) ).
cnf('453',plain,
( product(e_1,e_5,e_1)
| product(e_1,e_1,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['452','406','91']) ).
cnf('454',plain,
( product(e_1,e_1,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[then_simplify],['453','34','51']) ).
cnf('455',plain,
( product(e_1,e_1,e_5)
| ~ product(e_1,X,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['410','31']) ).
cnf('456',plain,
product(e_1,e_1,e_5),
inference(resolution,[then_simplify],['454','455','61']) ).
cnf('457',plain,
$false,
inference(resolution,[then_simplify],['456','54','51']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n006.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 : Mon Aug 28 21:24:21 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.40
% 0.13/0.40 input clause set summed statistics:
% 0.13/0.40 ----------------------------------
% 0.13/0.40 in_clause_count: 46
% 0.13/0.40 in_rule_clause_count: 26
% 0.13/0.40 in_fact_clause_count: 20
% 0.13/0.40 in_answer_clause_count: 0
% 0.13/0.40 in_ground_clause_count: 39
% 0.13/0.40 in_unit_clause_count: 40
% 0.13/0.40 in_horn_clause_count: 45
% 0.13/0.40 in_pos_clause_count: 20
% 0.13/0.40 in_neg_clause_count: 21
% 0.13/0.40 in_poseq_clause_count: 0
% 0.13/0.40 in_negeq_clause_count: 0
% 0.13/0.40 in_unitposeq_clause_count: 0
% 0.13/0.40 in_chain_clause_count: 0
% 0.13/0.40 in_min_length: 1
% 0.13/0.40 in_max_length: 7
% 0.13/0.40 in_min_depth: 1
% 0.13/0.40 in_max_depth: 1
% 0.13/0.40 in_min_size: 2
% 0.13/0.40 in_max_size: 24
% 0.13/0.40 in_min_vars: 0
% 0.13/0.40 in_max_vars: 4
% 0.13/0.40 in_extaxiom_count: 0
% 0.13/0.40 in_axiom_count: 45
% 0.13/0.40 in_assumption_count: 0
% 0.13/0.40 in_goal_count: 1
% 0.13/0.40 in_neg_goal_count: 0
% 0.13/0.40 in_pos_goal_count: 0
% 0.13/0.40 in_posunit_goal_count: 0
% 0.13/0.40
% 0.13/0.40 auto guide:
% 0.13/0.40 -----------
% 0.13/0.40 {
% 0.13/0.40 "print":1,
% 0.13/0.40 "print_level": 15,
% 0.13/0.40 "max_size": 0,
% 0.13/0.40 "max_depth": 0,
% 0.13/0.40 "max_length": 0,
% 0.13/0.40 "max_dseconds": 0,
% 0.13/0.40 "equality":0,
% 0.13/0.40 "runs":[
% 0.13/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.40 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.13/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.13/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.13/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.13/0.40 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.13/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.13/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.40 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.20/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.40 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.20/0.40 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.40 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.20/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.40 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.20/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
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% 4.26/0.96
% 4.26/0.96 **** run 48 fork 7 starts with strategy
% 4.26/0.96 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 4.26/0.96
% 4.26/0.96 **** run 36 fork 3 starts with strategy
% 4.26/0.96 {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 4.26/0.96
% 4.26/0.96 **** run 33 fork 0 starts with strategy
% 4.26/0.96 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 4.90/1.05
% 4.90/1.05
% 4.90/1.05 fork 1: search terminated without proof.
% 4.90/1.07
% 4.90/1.07 **** run 42 fork 1 starts with strategy
% 4.90/1.07 {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 5.52/1.08
% 5.52/1.08
% 5.52/1.08 fork 3: search terminated without proof.
% 5.52/1.09
% 5.52/1.09
% 5.52/1.09 fork 0: search terminated without proof.
% 5.52/1.10
% 5.52/1.10 **** run 44 fork 3 starts with strategy
% 5.52/1.10 {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 5.52/1.10
% 5.52/1.10 **** run 41 fork 0 starts with strategy
% 5.52/1.10 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 5.52/1.13
% 5.52/1.13 fork 3: search finished without proof.
% 5.52/1.14
% 5.52/1.14 **** run 52 fork 3 starts with strategy
% 5.52/1.14 {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 5.52/1.17
% 5.52/1.17 fork 3: search finished without proof.
% 6.29/1.18
% 6.29/1.18 **** run 60 fork 3 starts with strategy
% 6.29/1.18 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 6.45/1.21
% 6.45/1.21 fork 3: search finished without proof.
% 6.45/1.23
% 6.45/1.23 **** run 68 fork 3 starts with strategy
% 6.45/1.23 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 11.77/1.88
% 11.77/1.88
% 11.77/1.88 fork 4: search terminated without proof.
% 11.77/1.90
% 11.77/1.90 **** run 53 fork 4 starts with strategy
% 11.77/1.90 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 11.77/1.91
% 11.77/1.91
% 11.77/1.91 fork 6: search terminated without proof.
% 11.77/1.93
% 11.77/1.93 **** run 47 fork 6 starts with strategy
% 11.77/1.93 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 12.33/1.96
% 12.33/1.96
% 12.33/1.96 fork 5: search terminated without proof.
% 12.51/1.98
% 12.51/1.98
% 12.51/1.98 fork 2: search terminated without proof.
% 12.51/1.98
% 12.51/1.98 **** run 62 fork 5 starts with strategy
% 12.51/1.98 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 12.51/1.99
% 12.51/1.99 **** run 51 fork 2 starts with strategy
% 12.51/1.99 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 12.91/2.02
% 12.91/2.02
% 12.91/2.02 fork 7: search terminated without proof.
% 12.91/2.02
% 12.91/2.02 fork 2: search finished without proof.
% 12.91/2.04
% 12.91/2.04 **** run 56 fork 7 starts with strategy
% 12.91/2.04 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 12.91/2.04
% 12.91/2.04 **** run 59 fork 2 starts with strategy
% 12.91/2.04 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 13.15/2.09
% 13.15/2.09 fork 1: search finished without proof.
% 13.15/2.11
% 13.15/2.11 **** run 50 fork 1 starts with strategy
% 13.15/2.11 {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 13.77/2.13
% 13.77/2.13
% 13.77/2.13 fork 0: search terminated without proof.
% 13.77/2.15
% 13.77/2.15 **** run 49 fork 0 starts with strategy
% 13.77/2.15 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 14.16/2.20
% 14.16/2.20 fork 1: search finished without proof.
% 14.16/2.22
% 14.16/2.22 **** run 58 fork 1 starts with strategy
% 14.16/2.22 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 14.88/2.30
% 14.88/2.30
% 14.88/2.30 fork 3: search terminated without proof.
% 14.88/2.32
% 14.88/2.32 **** run 76 fork 3 starts with strategy
% 14.88/2.32 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 19.72/2.93
% 19.72/2.93
% 19.72/2.93 fork 4: search terminated without proof.
% 19.72/2.95
% 19.72/2.95 **** run 61 fork 4 starts with strategy
% 19.72/2.95 {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 19.72/3.00
% 19.72/3.00
% 19.72/3.00 fork 5: search terminated without proof.
% 19.72/3.02
% 19.72/3.02 **** run 70 fork 5 starts with strategy
% 19.72/3.02 {"max_dseconds":10,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 20.33/3.08
% 20.33/3.08
% 20.33/3.08 fork 2: search terminated without proof.
% 20.33/3.09
% 20.33/3.09
% 20.33/3.09 fork 6: search terminated without proof.
% 20.33/3.09
% 20.33/3.09 **** run 67 fork 2 starts with strategy
% 20.33/3.09 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 20.33/3.10
% 20.33/3.10 **** run 55 fork 6 starts with strategy
% 20.33/3.10 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 20.33/3.12
% 20.33/3.12 fork 2: search finished without proof.
% 21.35/3.13
% 21.35/3.13 **** run 75 fork 2 starts with strategy
% 21.35/3.13 {"max_dseconds":10,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 21.35/3.16
% 21.35/3.16 fork 2: search finished without proof.
% 21.67/3.17
% 21.67/3.17 **** run 83 fork 2 starts with strategy
% 21.67/3.17 {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 21.67/3.19
% 21.67/3.19
% 21.67/3.19 fork 0: search terminated without proof.
% 21.67/3.21
% 21.67/3.21 **** run 57 fork 0 starts with strategy
% 21.67/3.21 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 21.67/3.21
% 21.67/3.21 fork 7: search finished without proof.
% 21.67/3.22
% 21.67/3.22 **** run 64 fork 7 starts with strategy
% 21.67/3.22 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 22.30/3.26
% 22.30/3.26
% 22.30/3.26 fork 1: search terminated without proof.
% 22.61/3.28
% 22.61/3.28 **** run 66 fork 1 starts with strategy
% 22.61/3.28 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 23.06/3.34
% 23.06/3.34
% 23.06/3.34 fork 3: search terminated without proof.
% 23.06/3.35
% 23.06/3.35 **** run 84 fork 3 starts with strategy
% 23.06/3.35 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 23.26/3.38
% 23.26/3.38 fork 3: search finished without proof.
% 23.26/3.39
% 23.26/3.39 **** run 92 fork 3 starts with strategy
% 23.26/3.39 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":50}
% 27.83/3.98
% 27.83/3.98
% 27.83/3.98 fork 4: search terminated without proof.
% 27.83/3.99
% 27.83/3.99 **** run 69 fork 4 starts with strategy
% 27.83/3.99 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":2}
% 28.46/4.02
% 28.46/4.02 fork 4: search finished without proof.
% 28.46/4.02
% 28.46/4.02 fork 5: search finished without proof.
% 28.46/4.03
% 28.46/4.03 **** run 77 fork 4 starts with strategy
% 28.46/4.03 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0}
% 28.46/4.03
% 28.46/4.03 **** run 78 fork 5 starts with strategy
% 28.46/4.03 {"max_dseconds":50,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 28.46/4.06
% 28.46/4.06 fork 5: search finished without proof.
% 28.46/4.07
% 28.46/4.07 **** run 86 fork 5 starts with strategy
% 28.46/4.07 {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1}
% 28.96/4.12
% 28.96/4.12
% 28.96/4.12 fork 6: search terminated without proof.
% 28.96/4.14
% 28.96/4.14 **** run 63 fork 6 starts with strategy
% 28.96/4.14 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 29.74/4.24
% 29.74/4.24
% 29.74/4.24 fork 0: search terminated without proof.
% 29.74/4.26
% 29.74/4.26
% 29.74/4.26 fork 7: search terminated without proof.
% 29.74/4.26
% 29.74/4.26 **** run 65 fork 0 starts with strategy
% 29.74/4.26 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
% 30.21/4.28
% 30.21/4.28 **** run 72 fork 7 starts with strategy
% 30.21/4.28 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 30.21/4.29
% 30.21/4.29 fork 0: search finished without proof.
% 30.21/4.30
% 30.21/4.30 fork 1: search finished without proof.
% 30.67/4.30
% 30.67/4.30 **** run 73 fork 0 starts with strategy
% 30.67/4.30 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 30.67/4.31
% 30.67/4.31 **** run 74 fork 1 starts with strategy
% 30.67/4.31 {"max_dseconds":10,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 30.67/4.33
% 30.67/4.33 fork 0: search finished without proof.
% 30.67/4.35
% 30.67/4.35 **** run 81 fork 0 starts with strategy
% 30.67/4.35 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 37.12/5.16
% 37.12/5.16 fork 6: search finished without proof.
% 37.12/5.18
% 37.12/5.18 **** run 71 fork 6 starts with strategy
% 37.12/5.18 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 38.68/5.33
% 38.68/5.33
% 38.68/5.33 fork 7: search terminated without proof.
% 38.68/5.34
% 38.68/5.34
% 38.68/5.34 fork 1: search terminated without proof.
% 38.68/5.35
% 38.68/5.35 **** run 80 fork 7 starts with strategy
% 38.68/5.35 {"max_dseconds":50,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 38.68/5.37
% 38.68/5.37 **** run 82 fork 1 starts with strategy
% 38.68/5.37 {"max_dseconds":50,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 38.99/5.40
% 38.99/5.40 fork 1: search finished without proof.
% 38.99/5.41
% 38.99/5.41 **** run 90 fork 1 starts with strategy
% 38.99/5.41 {"max_dseconds":50,"strategy":["unit"],"query_preference":1}
% 38.99/5.44
% 38.99/5.44 fork 1: search finished without proof.
% 38.99/5.45
% 38.99/5.45 **** run 98 fork 1 starts with strategy
% 38.99/5.45 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 39.97/5.48
% 39.97/5.48 fork 1: search finished without proof.
% 39.97/5.49
% 39.97/5.49 **** run 106 fork 1 starts with strategy
% 39.97/5.49 {"max_dseconds":50,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 45.25/6.16
% 45.25/6.16
% 45.25/6.16 result: proof found
% 45.25/6.16 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.25/6.16 by run 83 fork 2 strategy {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 45.25/6.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.25/6.16
% 45.25/6.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 45.25/6.17
% 45.25/6.17 run 83 fork 2 statistics:
% 45.25/6.17 ----------------------------------
% 45.25/6.17 this run seconds: 2.925133
% 45.25/6.17 total seconds: 5.661647
% 45.25/6.17 stat_given_used: 4528
% 45.25/6.17 stat_given_used_at_endgame: 0
% 45.25/6.17 stat_given_candidates: 54039
% 45.25/6.17 stat_given_candidates_at_endgame: 0
% 45.25/6.17 stat_given_candidates_h: 0
% 45.25/6.17 stat_binres_derived_cl: 212797
% 45.25/6.17 stat_binres_derived_cl_h: 0
% 45.25/6.17 stat_factor_derived_cl: 36
% 45.25/6.17 stat_para_derived_cl: 0
% 45.25/6.17 stat_tautologies_discarded: 0
% 45.25/6.17 stat_forward_subsumed: 32
% 45.25/6.17 stat_derived_cut: 108995
% 45.25/6.17 stat_derived_rewritten: 0
% 45.25/6.17 stat_weight_discarded_building: 0
% 45.25/6.17 stat_weight_discarded_cl: 11336
% 45.25/6.17 stat_internlimit_discarded_cl: 0
% 45.25/6.17 stat_simplified: 0 simplified 0 derived 0 given
% 45.25/6.17 stat_kept_cl: 201464
% 45.25/6.17 stat_built_cl: 221856
% 45.25/6.17 stat_hyperres_partial_cl: 0
% 45.25/6.17 stat_made_rewriters: 0
% 45.25/6.17 stat_backward_subsumed: 0
% 45.25/6.17 stat_propagated_subsumed: 0
% 45.25/6.17 stat_clsubs_attempted: 2940396
% 45.25/6.17 stat_clsubs_fact_groundunit_found: 19
% 45.25/6.17 stat_clsubs_rule_groundunit_found: 20
% 45.25/6.17 stat_clsubs_top_meta_attempted: 79143964
% 45.25/6.17 stat_clsubs_top_meta_failed: 76203568
% 45.25/6.17 stat_clsubs_top_meta_nonpref_attempted: 79143964
% 45.25/6.17 stat_clsubs_top_meta_nonpref_succeeded: 26358488
% 45.25/6.17 stat_clsubs_top_meta_pref_attempted: 26358488
% 45.25/6.17 stat_clsubs_top_meta_pref1_succeeded: 26246112
% 45.25/6.17 stat_clsubs_top_meta_pref2_succeeded: 9563863
% 45.25/6.17 stat_clsubs_top_meta_pref3_succeeded: 2940396
% 45.25/6.17 stat_clsubs_top_meta_pref_succeeded: 2940396
% 45.25/6.17 stat_clsubs_meta_attempted: 13851761
% 45.25/6.17 stat_clsubs_meta_failed: 7868208
% 45.25/6.17 stat_clsubs_predsymbs_attempted: 0
% 45.25/6.17 stat_clsubs_unit_attempted: 68723
% 45.25/6.17 stat_clsubs_full_attempted: 2871673
% 45.25/6.17 stat_forwardsubs_attempted: 212833
% 45.25/6.17 stat_lit_hash_added: 169
% 45.25/6.17 stat_lit_hash_computed: 5968441
% 45.25/6.17 stat_lit_hash_match_found: 109067
% 45.25/6.17 stat_lit_hash_match_miss: 8682913
% 45.25/6.17 stat_lit_hash_cut_ok: 108995
% 45.25/6.17 stat_lit_strong_cut_ok: 0
% 45.25/6.17 stat_lit_hash_subsume_ok: 32
% 45.25/6.17 clqueue els 10000000 used 1
% 45.25/6.17 clactive els 10000000 used 4529
% 45.25/6.17 clactivesubsume els 10000000 used 26917
% 45.25/6.17 queue_termbuf els 200000000 used 24467972
% 45.25/6.17 hyper_termbuf els 100000000 used 1
% 45.25/6.17 active_termbuf els 100000000 used 347438
% 45.25/6.17 varstack els 5000 last used 1
% 45.25/6.17 given_termbuf els 10000000 last used 1
% 45.25/6.17 simplified_termbuf els 10000000 last used 1
% 45.25/6.17 derived_termbuf els 10000000 last used 22
% 45.25/6.17 wr_mallocs: 13016
% 45.25/6.17 wr_callocs: 19
% 45.25/6.17 wr_reallocs: 469
% 45.25/6.17 wr_frees: 2
% 45.25/6.17 wr_malloc_bytes: 4162998212
% 45.25/6.17 wr_calloc_bytes: 96065504
% 45.25/6.17 wr_realloc_bytes: 4924960
% 45.25/6.17 wr_realloc_freebytes: 0
% 45.25/6.17 ----------------------------------
%------------------------------------------------------------------------------