TSTP Solution File: GRP128-3.005 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP128-3.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:52:41 EDT 2023
% Result : Unsatisfiable 35.20s 4.88s
% Output : CNFRefutation 35.20s
% 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,Y,Z)
| ~ product(U,Y,Z)
| equalish(U,X) ),
inference(cnf_transformation,[],[product_left_cancellation]) ).
cnf('7',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| ~ product(X,e_1,e_5)
| equalish(X,e_2) ),
inference(resolution,[],['5','6']) ).
cnf('8',plain,
group_element(e_4),
inference(cnf_transformation,[],[element_4]) ).
cnf('9',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','8']) ).
cnf('10',plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[],[e_4_is_not_e_2]) ).
cnf('11',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,[then_simplify],['7','9','10']) ).
cnf('12',plain,
( ~ product(X,Y,Z)
| ~ product(X,U,Z)
| equalish(U,Y) ),
inference(cnf_transformation,[],[product_right_cancellation]) ).
cnf('13',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_4,X,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['11','12']) ).
cnf('14',plain,
( ~ product(X,Y,Z)
| ~ product(U,Y,X)
| product(U,X,Z) ),
inference(cnf_transformation,[],[qg3]) ).
cnf('15',plain,
( ~ product(X,Y,X)
| product(X,X,X) ),
inference(factorization,[],['14']) ).
cnf('16',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_4) ),
inference(resolution,[],['11','15']) ).
cnf('17',plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[],[e_4_is_not_e_1]) ).
cnf('18',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(resolution,[then_simplify],['13','16','17']) ).
cnf('19',plain,
( ~ product(X,e_1,Y)
| ~ cycle(X,Z)
| ~ greater(Z,e_0)
| ~ next(X,U)
| equalish(Y,U) ),
inference(cnf_transformation,[],[cycle7]) ).
cnf('20',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_3,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['18','19']) ).
cnf('21',plain,
( cycle(X,e_4)
| cycle(X,e_3)
| cycle(X,e_2)
| cycle(X,e_1)
| cycle(X,e_0)
| ~ group_element(X) ),
inference(cnf_transformation,[],[cycle2]) ).
cnf('22',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(resolution,[],['21','8']) ).
cnf('23',plain,
( ~ cycle(X,Y)
| ~ cycle(Z,U)
| ~ greater(U,e_0)
| ~ next(Y,V)
| ~ next(Z,X)
| equalish(U,V) ),
inference(cnf_transformation,[],[cycle4]) ).
cnf('24',plain,
greater(e_4,e_0),
inference(cnf_transformation,[],[e_4_greater_e_0]) ).
cnf('25',plain,
( equalish(e_4,X)
| ~ cycle(Y,e_4)
| ~ cycle(Z,U)
| ~ next(Y,Z)
| ~ next(U,X) ),
inference(resolution,[],['23','24']) ).
cnf('26',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| ~ next(e_4,X)
| equalish(e_4,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['22','25']) ).
cnf('27',plain,
next(e_4,e_5),
inference(cnf_transformation,[],[e_4_then_e_5]) ).
cnf('28',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| ~ cycle(e_5,X)
| equalish(e_4,Y)
| ~ next(X,Y) ),
inference(resolution,[],['26','27']) ).
cnf('29',plain,
cycle(e_5,e_0),
inference(cnf_transformation,[],[cycle3]) ).
cnf('30',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| ~ next(e_0,X)
| equalish(e_4,X) ),
inference(resolution,[],['28','29']) ).
cnf('31',plain,
next(e_0,e_1),
inference(cnf_transformation,[],[e_0_then_e_1]) ).
cnf('32',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3) ),
inference(resolution,[then_simplify],['30','31','17']) ).
cnf('33',plain,
greater(e_3,e_0),
inference(cnf_transformation,[],[e_3_greater_e_0]) ).
cnf('34',plain,
( equalish(e_3,X)
| ~ cycle(Y,e_3)
| ~ cycle(Z,U)
| ~ next(Y,Z)
| ~ next(U,X) ),
inference(resolution,[],['23','33']) ).
cnf('35',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| ~ next(e_4,X)
| equalish(e_3,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['32','34']) ).
cnf('36',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| ~ cycle(e_5,X)
| equalish(e_3,Y)
| ~ next(X,Y) ),
inference(resolution,[],['35','27']) ).
cnf('37',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| ~ next(e_0,X)
| equalish(e_3,X) ),
inference(resolution,[],['36','29']) ).
cnf('38',plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[],[e_3_is_not_e_1]) ).
cnf('39',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2) ),
inference(resolution,[then_simplify],['37','31','38']) ).
cnf('40',plain,
greater(e_2,e_0),
inference(cnf_transformation,[],[e_2_greater_e_0]) ).
cnf('41',plain,
( equalish(e_2,X)
| ~ cycle(Y,e_2)
| ~ cycle(Z,U)
| ~ next(Y,Z)
| ~ next(U,X) ),
inference(resolution,[],['23','40']) ).
cnf('42',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| ~ next(e_4,X)
| equalish(e_2,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['39','41']) ).
cnf('43',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| ~ cycle(e_5,X)
| equalish(e_2,Y)
| ~ next(X,Y) ),
inference(resolution,[],['42','27']) ).
cnf('44',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| ~ next(e_0,X)
| equalish(e_2,X) ),
inference(resolution,[],['43','29']) ).
cnf('45',plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[],[e_2_is_not_e_1]) ).
cnf('46',plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1) ),
inference(resolution,[then_simplify],['44','31','45']) ).
cnf('47',plain,
greater(e_1,e_0),
inference(cnf_transformation,[],[e_1_greater_e_0]) ).
cnf('48',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_3,X) ),
inference(resolution,[then_simplify],['20','46','47']) ).
cnf('49',plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[],[e_3_is_not_e_5]) ).
cnf('50',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['48','27','49']) ).
cnf('51',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| cycle(e_4,e_0)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_2,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['50','19']) ).
cnf('52',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_2,X) ),
inference(resolution,[then_simplify],['51','46','47']) ).
cnf('53',plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[],[e_2_is_not_e_5]) ).
cnf('54',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['52','27','53']) ).
cnf('55',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)
| cycle(e_4,e_0)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_1,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['54','19']) ).
cnf('56',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)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_1,X) ),
inference(resolution,[then_simplify],['55','46','47']) ).
cnf('57',plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[],[e_1_is_not_e_5]) ).
cnf('58',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)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['56','27','57']) ).
cnf('59',plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(X,e_1,e_4)
| product(X,e_4,e_5) ),
inference(resolution,[],['9','14']) ).
cnf('60',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['58','59']) ).
cnf('61',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_4)
| equalish(X,e_2) ),
inference(resolution,[],['58','6']) ).
cnf('62',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['60','61','10']) ).
cnf('63',plain,
group_element(e_5),
inference(cnf_transformation,[],[element_5]) ).
cnf('64',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','63']) ).
cnf('65',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,X,e_5)
| equalish(X,e_1) ),
inference(resolution,[],['64','12']) ).
cnf('66',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_5,e_5) ),
inference(resolution,[],['64','15']) ).
cnf('67',plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[],[e_5_is_not_e_1]) ).
cnf('68',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],['65','66','67']) ).
cnf('69',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,[],['68','6']) ).
cnf('70',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['58','69','53']) ).
cnf('71',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| equalish(X,e_5) ),
inference(resolution,[],['70','6']) ).
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_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['62','71','72']) ).
cnf('74',plain,
group_element(e_3),
inference(cnf_transformation,[],[element_3]) ).
cnf('75',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','74']) ).
cnf('76',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(X,e_1,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['75','6']) ).
cnf('77',plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[],[e_4_is_not_e_3]) ).
cnf('78',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[then_simplify],['76','9','77']) ).
cnf('79',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,X,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['78','12']) ).
cnf('80',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_4) ),
inference(resolution,[],['78','15']) ).
cnf('81',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[then_simplify],['79','80','17']) ).
cnf('82',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_3,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['81','19']) ).
cnf('83',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_3,X) ),
inference(resolution,[then_simplify],['82','46','47']) ).
cnf('84',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['83','27','49']) ).
cnf('85',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| cycle(e_4,e_0)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_2,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['84','19']) ).
cnf('86',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_2,X) ),
inference(resolution,[then_simplify],['85','46','47']) ).
cnf('87',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['86','27','53']) ).
cnf('88',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)
| cycle(e_4,e_0)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_1,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['87','19']) ).
cnf('89',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)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_1,X) ),
inference(resolution,[then_simplify],['88','46','47']) ).
cnf('90',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)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['89','27','57']) ).
cnf('91',plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[],[e_3_is_not_e_2]) ).
cnf('92',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['90','61','91']) ).
cnf('93',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['92','12']) ).
cnf('94',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_3,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['92','15']) ).
cnf('95',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['93','94','38']) ).
cnf('96',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['95','6']) ).
cnf('97',plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[],[e_5_is_not_e_3]) ).
cnf('98',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['73','96','97']) ).
cnf('99',plain,
( product(X,X,e_5)
| product(X,X,e_4)
| product(X,X,e_3)
| product(X,X,e_2)
| product(X,X,e_1)
| ~ group_element(X) ),
inference(factorization,[],['1']) ).
cnf('100',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(resolution,[],['99','2']) ).
cnf('101',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| ~ product(X,e_1,e_5)
| equalish(X,e_1) ),
inference(resolution,[],['100','6']) ).
cnf('102',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,[then_simplify],['101','9','17']) ).
cnf('103',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_4,X,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['102','12']) ).
cnf('104',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_4) ),
inference(resolution,[],['102','15']) ).
cnf('105',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(resolution,[then_simplify],['103','104','17']) ).
cnf('106',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_2)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_3,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['105','19']) ).
cnf('107',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_2)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_3,X) ),
inference(resolution,[then_simplify],['106','46','47']) ).
cnf('108',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['107','27','49']) ).
cnf('109',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| cycle(e_4,e_0)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_2,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['108','19']) ).
cnf('110',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_2,X) ),
inference(resolution,[then_simplify],['109','46','47']) ).
cnf('111',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_4,e_1,e_1)
| product(e_1,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['110','27','53']) ).
cnf('112',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| ~ product(X,e_1,e_1)
| product(X,e_1,e_5) ),
inference(resolution,[],['100','14']) ).
cnf('113',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_4,e_1,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['111','112']) ).
cnf('114',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['113','101','17']) ).
cnf('115',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['114','6']) ).
cnf('116',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['90','115','38']) ).
cnf('117',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['116','12']) ).
cnf('118',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['116','15']) ).
cnf('119',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['117','118','38']) ).
cnf('120',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['58','115','45']) ).
cnf('121',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['114','69','57']) ).
cnf('122',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| equalish(X,e_5) ),
inference(resolution,[],['121','6']) ).
cnf('123',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['120','122','53']) ).
cnf('124',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_5,e_1,e_1)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| equalish(X,e_5) ),
inference(resolution,[],['123','6']) ).
cnf('125',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_5,e_1,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['119','124','49']) ).
cnf('126',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_1)
| product(X,e_1,e_4) ),
inference(resolution,[],['114','14']) ).
cnf('127',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_5,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['125','126']) ).
cnf('128',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['127','115','67']) ).
cnf('129',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['128','126']) ).
cnf('130',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['129','115','38']) ).
cnf('131',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['119','6']) ).
cnf('132',plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[],[e_2_is_not_e_3]) ).
cnf('133',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['130','131','132']) ).
cnf('134',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_3,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['133','126']) ).
cnf('135',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['134','115','38']) ).
cnf('136',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['135','126']) ).
cnf('137',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['136','115','45']) ).
cnf('138',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['137','71','57']) ).
cnf('139',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['138','96','97']) ).
cnf('140',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_1)
| product(X,e_1,e_3) ),
inference(resolution,[],['137','14']) ).
cnf('141',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['139','140']) ).
cnf('142',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['137','6']) ).
cnf('143',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['141','142','67']) ).
cnf('144',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['143','140']) ).
cnf('145',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['144','142','38']) ).
cnf('146',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['145','142','45']) ).
cnf('147',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['146','12']) ).
cnf('148',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_2,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[],['146','15']) ).
cnf('149',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['147','148','45']) ).
cnf('150',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['149','140']) ).
cnf('151',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['150','142','45']) ).
cnf('152',plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[],[e_1_is_not_e_3]) ).
cnf('153',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['151','96','152']) ).
cnf('154',plain,
( product(e_1,e_1,e_1)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_1)
| product(X,e_1,e_2) ),
inference(resolution,[],['151','14']) ).
cnf('155',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['153','154']) ).
cnf('156',plain,
( product(e_1,e_1,e_1)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['151','6']) ).
cnf('157',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['155','156','38']) ).
cnf('158',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| product(X,e_2,e_3) ),
inference(resolution,[],['157','14']) ).
cnf('159',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['158','151']) ).
cnf('160',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_2,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['159','156','45']) ).
cnf('161',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['160','154']) ).
cnf('162',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['161','156','45']) ).
cnf('163',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(resolution,[],['99','4']) ).
cnf('164',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| ~ product(X,e_2,e_5)
| equalish(X,e_2) ),
inference(resolution,[],['163','6']) ).
cnf('165',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('166',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,[],['165','8']) ).
cnf('167',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,[then_simplify],['164','166','10']) ).
cnf('168',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_4,X,e_4)
| equalish(X,e_2) ),
inference(resolution,[],['167','12']) ).
cnf('169',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4) ),
inference(resolution,[],['167','15']) ).
cnf('170',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(resolution,[then_simplify],['168','169','10']) ).
cnf('171',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| ~ product(X,e_2,e_3)
| equalish(X,e_4) ),
inference(resolution,[],['170','6']) ).
cnf('172',plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[],[e_1_is_not_e_4]) ).
cnf('173',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['162','171','172']) ).
cnf('174',plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| ~ product(X,e_2,e_2)
| product(X,e_2,e_5) ),
inference(resolution,[],['163','14']) ).
cnf('175',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['173','174']) ).
cnf('176',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['175','164','10']) ).
cnf('177',plain,
( product(e_1,e_1,e_1)
| cycle(e_4,e_0)
| ~ product(X,e_2,e_1)
| product(X,e_1,e_3) ),
inference(resolution,[],['162','14']) ).
cnf('178',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_2,e_2,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['176','177']) ).
cnf('179',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| equalish(X,e_2) ),
inference(resolution,[],['157','6']) ).
cnf('180',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['178','179','10']) ).
cnf('181',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| product(X,e_3,e_4) ),
inference(resolution,[],['90','14']) ).
cnf('182',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['157','181']) ).
cnf('183',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['182','179','91']) ).
cnf('184',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['183','156','38']) ).
cnf('185',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['184','154']) ).
cnf('186',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['185','156','38']) ).
cnf('187',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_4)
| equalish(X,e_3) ),
inference(resolution,[],['186','12']) ).
cnf('188',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['180','187','132']) ).
cnf('189',plain,
( product(e_1,e_1,e_1)
| cycle(e_4,e_0)
| ~ product(X,e_2,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['162','6']) ).
cnf('190',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['188','189','45']) ).
cnf('191',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,[],['165','74']) ).
cnf('192',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(X,e_2,e_3)
| product(X,e_3,e_5) ),
inference(resolution,[],['191','14']) ).
cnf('193',plain,
( product(e_1,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['162','192']) ).
cnf('194',plain,
( product(e_1,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_2,e_3)
| product(X,e_3,e_4) ),
inference(resolution,[],['193','14']) ).
cnf('195',plain,
( product(e_1,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['194','162']) ).
cnf('196',plain,
( product(e_1,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['195','189','38']) ).
cnf('197',plain,
( product(e_1,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_2,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['196','6']) ).
cnf('198',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['190','197','132']) ).
cnf('199',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['198','177']) ).
cnf('200',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['199','179','91']) ).
cnf('201',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_2,e_2)
| product(X,e_2,e_1) ),
inference(resolution,[],['200','14']) ).
cnf('202',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['201','196']) ).
cnf('203',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_2,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['200','6']) ).
cnf('204',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['202','203','91']) ).
cnf('205',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['204','156','45']) ).
cnf('206',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['205','154']) ).
cnf('207',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['206','156','45']) ).
cnf('208',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','74']) ).
cnf('209',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,[],['208','63']) ).
cnf('210',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,X,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['209','12']) ).
cnf('211',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_5,e_5) ),
inference(resolution,[],['209','15']) ).
cnf('212',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],['210','211','97']) ).
cnf('213',plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| ~ product(X,e_3,e_5)
| product(X,e_5,e_4) ),
inference(resolution,[],['212','14']) ).
cnf('214',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_1,e_5,e_4)
| product(e_5,e_3,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['207','213']) ).
cnf('215',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_1,e_5,e_4)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_5)
| product(X,e_5,e_3) ),
inference(resolution,[],['214','14']) ).
cnf('216',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_5,e_3,e_1)
| product(e_1,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_1,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['215','207']) ).
cnf('217',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_5,e_3,e_1)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_5)
| product(X,e_5,e_2) ),
inference(resolution,[],['216','14']) ).
cnf('218',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_5,e_3,e_1)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['217','207']) ).
cnf('219',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_4)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_1)
| product(X,e_1,e_5) ),
inference(resolution,[],['207','14']) ).
cnf('220',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_5,e_1,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['218','219']) ).
cnf('221',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| cycle(e_4,e_0)
| ~ product(e_5,X,e_5)
| equalish(X,e_1) ),
inference(resolution,[],['220','12']) ).
cnf('222',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_5,e_5,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['220','15']) ).
cnf('223',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['221','222','67']) ).
cnf('224',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','8']) ).
cnf('225',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(resolution,[],['224','2']) ).
cnf('226',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,X,e_5)
| equalish(X,e_4) ),
inference(resolution,[],['225','12']) ).
cnf('227',plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[],[e_3_is_not_e_4]) ).
cnf('228',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['207','226','227']) ).
cnf('229',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| cycle(e_4,e_0)
| ~ product(e_1,X,e_4)
| equalish(X,e_4) ),
inference(resolution,[],['228','12']) ).
cnf('230',plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[],[e_5_is_not_e_4]) ).
cnf('231',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['223','229','230']) ).
cnf('232',plain,
( product(e_1,e_1,e_1)
| cycle(e_4,e_0)
| ~ product(e_1,X,e_3)
| equalish(X,e_2) ),
inference(resolution,[],['162','12']) ).
cnf('233',plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[],[e_5_is_not_e_2]) ).
cnf('234',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['231','232','233']) ).
cnf('235',plain,
( product(e_1,e_1,e_1)
| cycle(e_4,e_0)
| ~ product(e_1,X,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['151','12']) ).
cnf('236',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['234','235','67']) ).
cnf('237',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['236','232','10']) ).
cnf('238',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['237','235','17']) ).
cnf('239',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['238','15']) ).
cnf('240',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_4)
| equalish(X,e_2) ),
inference(resolution,[],['186','6']) ).
cnf('241',plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[],[e_1_is_not_e_2]) ).
cnf('242',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['239','240','241']) ).
cnf('243',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['242','156','45']) ).
cnf('244',plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[],['243','154']) ).
cnf('245',plain,
( product(e_1,e_1,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['244','156','45']) ).
cnf('246',plain,
( cycle(e_4,e_0)
| ~ cycle(e_1,X)
| ~ next(e_1,Y)
| equalish(e_1,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['245','19']) ).
cnf('247',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(resolution,[],['21','2']) ).
cnf('248',plain,
greater(e_4,e_0),
inference(cnf_transformation,[],[e_4_greater_e_0]) ).
cnf('249',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_4,e_0)
| cycle(e_1,e_3)
| ~ next(e_1,X)
| equalish(e_1,X) ),
inference(resolution,[then_simplify],['246','247','248']) ).
cnf('250',plain,
next(e_1,e_2),
inference(cnf_transformation,[],[e_1_then_e_2]) ).
cnf('251',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_4,e_0)
| cycle(e_1,e_3) ),
inference(resolution,[then_simplify],['249','250','241']) ).
cnf('252',plain,
( ~ cycle(X,Y)
| ~ cycle(Z,e_0)
| ~ cycle(U,V)
| ~ greater(Z,U)
| ~ greater(V,Y)
| ~ next(Z,X) ),
inference(cnf_transformation,[],[cycle5]) ).
cnf('253',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_4,X)
| ~ next(e_4,Y)
| ~ cycle(X,Z)
| ~ cycle(Y,U)
| ~ greater(Z,U) ),
inference(resolution,[],['251','252']) ).
cnf('254',plain,
greater(e_4,e_1),
inference(cnf_transformation,[],[e_4_greater_e_1]) ).
cnf('255',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,X)
| ~ next(e_4,Y)
| ~ cycle(Y,Z)
| ~ greater(X,Z) ),
inference(resolution,[],['253','254']) ).
cnf('256',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_4,X)
| ~ next(e_4,Y)
| ~ cycle(Y,X) ),
inference(resolution,[],['255','247']) ).
cnf('257',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ next(e_4,X)
| ~ cycle(X,e_0) ),
inference(resolution,[],['256','24']) ).
cnf('258',plain,
cycle(e_5,e_0),
inference(cnf_transformation,[],[cycle3]) ).
cnf('259',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(resolution,[then_simplify],['257','27','258']) ).
cnf('260',plain,
greater(e_3,e_0),
inference(cnf_transformation,[],[e_3_greater_e_0]) ).
cnf('261',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_4,e_0)
| ~ next(e_1,X)
| equalish(e_1,X) ),
inference(resolution,[then_simplify],['259','246','260']) ).
cnf('262',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['261','250','241']) ).
cnf('263',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ greater(e_4,X)
| ~ next(e_4,Y)
| ~ cycle(X,Z)
| ~ cycle(Y,U)
| ~ greater(Z,U) ),
inference(resolution,[],['262','252']) ).
cnf('264',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ cycle(e_1,X)
| ~ next(e_4,Y)
| ~ cycle(Y,Z)
| ~ greater(X,Z) ),
inference(resolution,[],['263','254']) ).
cnf('265',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ greater(e_3,X)
| ~ next(e_4,Y)
| ~ cycle(Y,X) ),
inference(resolution,[],['264','259']) ).
cnf('266',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| ~ next(e_4,X)
| ~ cycle(X,e_0) ),
inference(resolution,[],['265','33']) ).
cnf('267',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2) ),
inference(resolution,[then_simplify],['266','27','258']) ).
cnf('268',plain,
greater(e_2,e_0),
inference(cnf_transformation,[],[e_2_greater_e_0]) ).
cnf('269',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_4,e_0)
| ~ next(e_1,X)
| equalish(e_1,X) ),
inference(resolution,[then_simplify],['267','246','268']) ).
cnf('270',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['269','250','241']) ).
cnf('271',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| ~ greater(e_4,X)
| ~ next(e_4,Y)
| ~ cycle(X,Z)
| ~ cycle(Y,U)
| ~ greater(Z,U) ),
inference(resolution,[],['270','252']) ).
cnf('272',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| ~ cycle(e_1,X)
| ~ next(e_4,Y)
| ~ cycle(Y,Z)
| ~ greater(X,Z) ),
inference(resolution,[],['271','254']) ).
cnf('273',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| ~ greater(e_2,X)
| ~ next(e_4,Y)
| ~ cycle(Y,X) ),
inference(resolution,[],['272','267']) ).
cnf('274',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| ~ next(e_4,X)
| ~ cycle(X,e_0) ),
inference(resolution,[],['273','40']) ).
cnf('275',plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1) ),
inference(resolution,[then_simplify],['274','27','258']) ).
cnf('276',plain,
( cycle(e_1,e_0)
| cycle(e_4,e_0)
| ~ next(e_1,X)
| equalish(e_1,X) ),
inference(resolution,[then_simplify],['275','246','47']) ).
cnf('277',plain,
( cycle(e_1,e_0)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['276','250','241']) ).
cnf('278',plain,
( cycle(e_1,e_0)
| ~ greater(e_4,X)
| ~ next(e_4,Y)
| ~ cycle(X,Z)
| ~ cycle(Y,U)
| ~ greater(Z,U) ),
inference(resolution,[],['277','252']) ).
cnf('279',plain,
( cycle(e_1,e_0)
| ~ cycle(e_1,X)
| ~ next(e_4,Y)
| ~ cycle(Y,Z)
| ~ greater(X,Z) ),
inference(resolution,[],['278','254']) ).
cnf('280',plain,
( cycle(e_1,e_0)
| ~ greater(e_1,X)
| ~ next(e_4,Y)
| ~ cycle(Y,X) ),
inference(resolution,[],['279','275']) ).
cnf('281',plain,
greater(e_1,e_0),
inference(cnf_transformation,[],[e_1_greater_e_0]) ).
cnf('282',plain,
( cycle(e_1,e_0)
| ~ next(e_4,X)
| ~ cycle(X,e_0) ),
inference(resolution,[],['280','281']) ).
cnf('283',plain,
cycle(e_1,e_0),
inference(resolution,[then_simplify],['282','27','258']) ).
cnf('284',plain,
( ~ product(X,e_1,Y)
| ~ cycle(X,e_0)
| ~ greater(Y,X) ),
inference(cnf_transformation,[],[cycle6]) ).
cnf('285',plain,
greater(e_5,e_1),
inference(cnf_transformation,[],[e_5_greater_e_1]) ).
cnf('286',plain,
( ~ cycle(e_1,e_0)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(resolution,[then_simplify],['100','284','285']) ).
cnf('287',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(resolution,[],['283','286']) ).
cnf('288',plain,
cycle(e_1,e_0),
inference(resolution,[then_simplify],['282','27','258']) ).
cnf('289',plain,
greater(e_4,e_1),
inference(cnf_transformation,[],[e_4_greater_e_1]) ).
cnf('290',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,[then_simplify],['287','284','288','289']) ).
cnf('291',plain,
greater(e_3,e_1),
inference(cnf_transformation,[],[e_3_greater_e_1]) ).
cnf('292',plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[then_simplify],['290','284','288','291']) ).
cnf('293',plain,
greater(e_2,e_1),
inference(cnf_transformation,[],[e_2_greater_e_1]) ).
cnf('294',plain,
product(e_1,e_1,e_1),
inference(resolution,[then_simplify],['292','284','288','293']) ).
cnf('295',plain,
( ~ product(X,e_1,e_1)
| equalish(X,e_1) ),
inference(resolution,[],['294','6']) ).
cnf('296',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['98','295','67']) ).
cnf('297',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['296','96','77']) ).
cnf('298',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['297','295','17']) ).
cnf('299',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_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['298','295','38']) ).
cnf('300',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,[],['224','63']) ).
cnf('301',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,X,e_5)
| equalish(X,e_4) ),
inference(resolution,[],['300','12']) ).
cnf('302',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_5,e_5) ),
inference(resolution,[],['300','15']) ).
cnf('303',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],['301','302','230']) ).
cnf('304',plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(X,e_4,e_5)
| product(X,e_5,e_4) ),
inference(resolution,[],['303','14']) ).
cnf('305',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_2,e_5,e_4)
| product(e_5,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['299','304']) ).
cnf('306',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_5,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['70','12']) ).
cnf('307',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_2,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['305','306','17']) ).
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_2,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| product(X,e_3,e_2) ),
inference(resolution,[],['95','14']) ).
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_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[],['308','70']) ).
cnf('310',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_5,X,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['309','12']) ).
cnf('311',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_1)
| product(e_2,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['307','310','77']) ).
cnf('312',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| product(X,e_2,e_4) ),
inference(resolution,[],['58','14']) ).
cnf('313',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['95','312']) ).
cnf('314',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,[],['165','63']) ).
cnf('315',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,X,e_5)
| equalish(X,e_2) ),
inference(resolution,[],['314','12']) ).
cnf('316',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_5,e_5) ),
inference(resolution,[],['314','15']) ).
cnf('317',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],['315','316','233']) ).
cnf('318',plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| ~ product(X,e_2,e_4)
| equalish(X,e_5) ),
inference(resolution,[],['317','6']) ).
cnf('319',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['313','318','49']) ).
cnf('320',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_2,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_2,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['319','306','45']) ).
cnf('321',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_2,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['320','310','132']) ).
cnf('322',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_5,X,e_1)
| equalish(X,e_2) ),
inference(resolution,[],['321','12']) ).
cnf('323',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['311','322','10']) ).
cnf('324',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_5,e_1,e_1)
| product(e_2,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['323','96','97']) ).
cnf('325',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['324','295','67']) ).
cnf('326',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_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['325','295','38']) ).
cnf('327',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['58','12']) ).
cnf('328',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['326','327','67']) ).
cnf('329',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['328','181']) ).
cnf('330',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| equalish(X,e_2) ),
inference(resolution,[],['328','6']) ).
cnf('331',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['329','330','91']) ).
cnf('332',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| product(X,e_2,e_3) ),
inference(resolution,[],['328','14']) ).
cnf('333',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['331','332']) ).
cnf('334',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_2) ),
inference(resolution,[],['333','12']) ).
cnf('335',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['333','15']) ).
cnf('336',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['334','335','91']) ).
cnf('337',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['336','295','38']) ).
cnf('338',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,[],['208','8']) ).
cnf('339',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_4)
| product(X,e_4,e_5) ),
inference(resolution,[],['338','14']) ).
cnf('340',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['337','339']) ).
cnf('341',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_4)
| equalish(X,e_2) ),
inference(resolution,[],['337','6']) ).
cnf('342',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['340','341','10']) ).
cnf('343',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_4)
| product(X,e_4,e_3) ),
inference(resolution,[],['342','14']) ).
cnf('344',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['343','337']) ).
cnf('345',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_2)
| product(X,e_2,e_4) ),
inference(resolution,[],['337','14']) ).
cnf('346',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['344','345']) ).
cnf('347',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_4)
| product(X,e_4,e_1) ),
inference(resolution,[],['346','14']) ).
cnf('348',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['347','337']) ).
cnf('349',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0)
| ~ product(e_4,X,e_4)
| equalish(X,e_2) ),
inference(resolution,[],['348','12']) ).
cnf('350',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_4,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['348','15']) ).
cnf('351',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['349','350','10']) ).
cnf('352',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['90','59']) ).
cnf('353',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_4)
| equalish(X,e_3) ),
inference(resolution,[],['90','6']) ).
cnf('354',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['352','353','77']) ).
cnf('355',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['354','181']) ).
cnf('356',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0)
| ~ product(e_4,X,e_4)
| equalish(X,e_3) ),
inference(resolution,[],['355','12']) ).
cnf('357',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['355','15']) ).
cnf('358',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['356','357','77']) ).
cnf('359',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0)
| ~ cycle(e_4,X)
| ~ next(e_4,Y)
| equalish(e_2,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['358','19']) ).
cnf('360',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0)
| ~ next(e_4,X)
| equalish(e_2,X) ),
inference(resolution,[then_simplify],['359','46','47']) ).
cnf('361',plain,
( product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['360','27','53']) ).
cnf('362',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['361','295','17']) ).
cnf('363',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_4,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['362','6']) ).
cnf('364',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['351','363','132']) ).
cnf('365',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['364','330','91']) ).
cnf('366',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_2,e_3)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['365','332']) ).
cnf('367',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_2) ),
inference(resolution,[],['366','12']) ).
cnf('368',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_3,e_3)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['366','15']) ).
cnf('369',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['367','368','91']) ).
cnf('370',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['369','295','38']) ).
cnf('371',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['328','12']) ).
cnf('372',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['370','371','17']) ).
cnf('373',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(X,e_4,e_5)
| equalish(X,e_1) ),
inference(resolution,[],['225','6']) ).
cnf('374',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['299','373','45']) ).
cnf('375',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['362','373','38']) ).
cnf('376',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['375','12']) ).
cnf('377',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['375','15']) ).
cnf('378',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['376','377','38']) ).
cnf('379',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| product(X,e_3,e_2) ),
inference(resolution,[],['378','14']) ).
cnf('380',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['374','379']) ).
cnf('381',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['380','295','38']) ).
cnf('382',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['381','12']) ).
cnf('383',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['381','15']) ).
cnf('384',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['382','383','132']) ).
cnf('385',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['378','6']) ).
cnf('386',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['384','385','132']) ).
cnf('387',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['386','295','38']) ).
cnf('388',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['387','295','45']) ).
cnf('389',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_4,e_1)
| product(X,e_1,e_4) ),
inference(resolution,[],['388','14']) ).
cnf('390',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['372','389']) ).
cnf('391',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_4)
| equalish(X,e_3) ),
inference(resolution,[],['337','12']) ).
cnf('392',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['390','391','152']) ).
cnf('393',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['392','12']) ).
cnf('394',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['392','15']) ).
cnf('395',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['393','394','45']) ).
cnf('396',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['395','295','45']) ).
cnf('397',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_4,e_3)
| product(X,e_3,e_5) ),
inference(resolution,[],['362','14']) ).
cnf('398',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['396','397']) ).
cnf('399',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['398','12']) ).
cnf('400',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_3)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['398','15']) ).
cnf('401',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['399','400','38']) ).
cnf('402',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_3)
| product(X,e_3,e_2) ),
inference(resolution,[],['401','14']) ).
cnf('403',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['402','328']) ).
cnf('404',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_2,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['403','295','38']) ).
cnf('405',plain,
( ~ product(X,Y,Z)
| ~ product(X,Y,U)
| equalish(U,Z) ),
inference(cnf_transformation,[],[product_total_function2]) ).
cnf('406',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0)
| ~ product(e_2,e_3,X)
| equalish(X,e_4) ),
inference(resolution,[],['337','405']) ).
cnf('407',plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[],[e_2_is_not_e_4]) ).
cnf('408',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['404','406','407']) ).
cnf('409',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['401','6']) ).
cnf('410',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['408','409','132']) ).
cnf('411',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['410','295','38']) ).
cnf('412',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['411','295','45']) ).
cnf('413',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_4,e_1)
| product(X,e_1,e_2) ),
inference(resolution,[],['412','14']) ).
cnf('414',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['413','372']) ).
cnf('415',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['414','12']) ).
cnf('416',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['414','15']) ).
cnf('417',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['415','416','45']) ).
cnf('418',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['417','295','45']) ).
cnf('419',plain,
( ~ product(e_1,X,e_1)
| equalish(X,e_1) ),
inference(resolution,[],['294','12']) ).
cnf('420',plain,
( product(e_1,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['418','419','17']) ).
cnf('421',plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| ~ product(X,e_3,e_4)
| equalish(X,e_5) ),
inference(resolution,[],['212','6']) ).
cnf('422',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['337','421','53']) ).
cnf('423',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_5)
| product(X,e_5,e_3) ),
inference(resolution,[],['422','14']) ).
cnf('424',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_1)
| product(e_1,e_5,e_3)
| product(e_5,e_3,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[],['420','423']) ).
cnf('425',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_1)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_5)
| product(X,e_5,e_2) ),
inference(resolution,[],['424','14']) ).
cnf('426',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_5,e_3,e_1)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['425','420']) ).
cnf('427',plain,
( cycle(e_4,e_0)
| ~ product(X,e_3,e_1)
| product(X,e_1,e_5) ),
inference(resolution,[],['420','14']) ).
cnf('428',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_1,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['426','427']) ).
cnf('429',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,[],['338','6']) ).
cnf('430',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)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['420','429','172']) ).
cnf('431',plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| cycle(e_4,e_0)
| ~ product(e_4,X,e_4)
| equalish(X,e_3) ),
inference(resolution,[],['430','12']) ).
cnf('432',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_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['430','15']) ).
cnf('433',plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['431','432','77']) ).
cnf('434',plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_3,e_4)
| product(X,e_4,e_3) ),
inference(resolution,[],['433','14']) ).
cnf('435',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['434','337']) ).
cnf('436',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['435','345']) ).
cnf('437',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['436','427']) ).
cnf('438',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_5)
| cycle(e_4,e_0)
| ~ product(e_4,X,e_4)
| equalish(X,e_2) ),
inference(resolution,[],['437','12']) ).
cnf('439',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_5)
| product(e_4,e_4,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['437','15']) ).
cnf('440',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_3)
| product(e_4,e_1,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['438','439','10']) ).
cnf('441',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_3)
| cycle(e_4,e_0)
| ~ product(X,e_1,e_5)
| equalish(X,e_4) ),
inference(resolution,[],['440','6']) ).
cnf('442',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['428','441','230']) ).
cnf('443',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['442','371','17']) ).
cnf('444',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0)
| ~ product(e_2,X,e_2)
| equalish(X,e_1) ),
inference(resolution,[],['443','12']) ).
cnf('445',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['443','15']) ).
cnf('446',plain,
( product(e_2,e_1,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['444','445','45']) ).
cnf('447',plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['446','295','45']) ).
cnf('448',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_4,e_0)
| ~ product(e_1,X,e_3)
| equalish(X,e_4) ),
inference(resolution,[],['396','12']) ).
cnf('449',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['447','448','230']) ).
cnf('450',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_3,e_5,e_4)
| cycle(e_4,e_0) ),
inference(resolution,[],['362','304']) ).
cnf('451',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['450','397']) ).
cnf('452',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_4,e_5)
| product(X,e_5,e_2) ),
inference(resolution,[],['451','14']) ).
cnf('453',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['452','362']) ).
cnf('454',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_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_5)
| cycle(e_4,e_0)
| ~ product(X,e_4,e_5)
| product(X,e_5,e_1) ),
inference(resolution,[],['453','14']) ).
cnf('455',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_4)
| product(e_5,e_3,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['454','362']) ).
cnf('456',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_4)
| cycle(e_4,e_0)
| ~ product(e_5,X,e_5)
| equalish(X,e_3) ),
inference(resolution,[],['455','12']) ).
cnf('457',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_4)
| product(e_5,e_5,e_5)
| cycle(e_4,e_0) ),
inference(resolution,[],['455','15']) ).
cnf('458',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_4)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['456','457','97']) ).
cnf('459',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_4)
| equalish(X,e_1) ),
inference(resolution,[],['90','12']) ).
cnf('460',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)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['458','459','67']) ).
cnf('461',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)
| cycle(e_4,e_0)
| ~ product(X,e_5,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['460','6']) ).
cnf('462',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['449','461','152']) ).
cnf('463',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_5,e_1)
| product(X,e_1,e_2) ),
inference(resolution,[],['449','14']) ).
cnf('464',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[],['462','463']) ).
cnf('465',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['464','12']) ).
cnf('466',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_3,e_3,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['464','15']) ).
cnf('467',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['465','466','38']) ).
cnf('468',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_4,e_0)
| ~ cycle(e_3,X)
| ~ next(e_3,Y)
| equalish(e_2,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['467','19']) ).
cnf('469',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(resolution,[],['21','74']) ).
cnf('470',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_3,X)
| equalish(e_4,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['469','25']) ).
cnf('471',plain,
next(e_3,e_4),
inference(cnf_transformation,[],[e_3_then_e_4]) ).
cnf('472',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_4,X)
| equalish(e_4,Y)
| ~ next(X,Y) ),
inference(resolution,[],['470','471']) ).
cnf('473',plain,
( cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_1,X)
| equalish(e_4,X) ),
inference(resolution,[],['46','472']) ).
cnf('474',plain,
( cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(resolution,[then_simplify],['473','250','10']) ).
cnf('475',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_0,X)
| equalish(e_4,X) ),
inference(resolution,[],['474','472']) ).
cnf('476',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(resolution,[then_simplify],['475','31','17']) ).
cnf('477',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_3,X)
| equalish(e_3,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['476','34']) ).
cnf('478',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ cycle(e_4,X)
| equalish(e_3,Y)
| ~ next(X,Y) ),
inference(resolution,[],['477','471']) ).
cnf('479',plain,
( cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_1,X)
| equalish(e_3,X) ),
inference(resolution,[],['478','46']) ).
cnf('480',plain,
( cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(resolution,[then_simplify],['479','250','91']) ).
cnf('481',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| ~ next(e_0,X)
| equalish(e_3,X) ),
inference(resolution,[],['480','478']) ).
cnf('482',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2) ),
inference(resolution,[then_simplify],['481','31','38']) ).
cnf('483',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1)
| ~ next(e_3,X)
| equalish(e_2,X) ),
inference(resolution,[then_simplify],['468','482','268']) ).
cnf('484',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['483','471','407']) ).
cnf('485',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['484','295','38']) ).
cnf('486',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)
| cycle(e_4,e_0)
| ~ product(X,e_5,e_3)
| product(X,e_3,e_2) ),
inference(resolution,[],['460','14']) ).
cnf('487',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[],['447','486']) ).
cnf('488',plain,
( product(e_1,e_5,e_2)
| cycle(e_4,e_0)
| ~ product(X,e_5,e_1)
| product(X,e_1,e_3) ),
inference(resolution,[],['447','14']) ).
cnf('489',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[],['487','488']) ).
cnf('490',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| cycle(e_4,e_0)
| ~ product(e_3,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['489','12']) ).
cnf('491',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_3,e_3)
| cycle(e_4,e_0) ),
inference(resolution,[],['489','15']) ).
cnf('492',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['490','491','38']) ).
cnf('493',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| cycle(e_4,e_0)
| ~ cycle(e_3,X)
| ~ next(e_3,Y)
| equalish(e_2,Y)
| ~ greater(X,e_0) ),
inference(resolution,[],['492','19']) ).
cnf('494',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1)
| ~ next(e_3,X)
| equalish(e_2,X) ),
inference(resolution,[then_simplify],['493','482','268']) ).
cnf('495',plain,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['494','471','407']) ).
cnf('496',plain,
( product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['495','295','38']) ).
cnf('497',plain,
( product(e_1,e_3,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1)
| ~ product(e_1,X,e_2)
| equalish(X,e_5) ),
inference(resolution,[],['496','12']) ).
cnf('498',plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['485','497','72']) ).
cnf('499',plain,
( product(e_1,e_3,e_2)
| cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['498','419','17']) ).
cnf('500',plain,
( cycle(e_4,e_0)
| ~ product(e_1,e_3,X)
| equalish(X,e_5) ),
inference(resolution,[],['420','405']) ).
cnf('501',plain,
( cycle(e_3,e_0)
| cycle(e_4,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['499','500','53']) ).
cnf('502',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| ~ next(e_3,X)
| equalish(e_2,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['482','41']) ).
cnf('503',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| ~ cycle(e_4,X)
| equalish(e_2,Y)
| ~ next(X,Y) ),
inference(resolution,[],['502','471']) ).
cnf('504',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| ~ next(e_0,X)
| equalish(e_2,X) ),
inference(resolution,[],['501','503']) ).
cnf('505',plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1) ),
inference(resolution,[then_simplify],['504','31','45']) ).
cnf('506',plain,
( equalish(e_1,X)
| ~ cycle(Y,e_1)
| ~ cycle(Z,U)
| ~ next(Y,Z)
| ~ next(U,X) ),
inference(resolution,[],['23','281']) ).
cnf('507',plain,
( cycle(e_3,e_0)
| ~ next(e_3,X)
| equalish(e_1,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['505','506']) ).
cnf('508',plain,
( cycle(e_3,e_0)
| ~ cycle(e_4,X)
| equalish(e_1,Y)
| ~ next(X,Y) ),
inference(resolution,[],['507','471']) ).
cnf('509',plain,
( cycle(e_3,e_0)
| cycle(e_4,e_0)
| ~ next(e_1,X)
| equalish(e_1,X) ),
inference(resolution,[],['508','46']) ).
cnf('510',plain,
( cycle(e_3,e_0)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['509','250','241']) ).
cnf('511',plain,
( cycle(e_3,e_0)
| ~ greater(e_4,X)
| ~ next(e_4,Y)
| ~ cycle(X,Z)
| ~ cycle(Y,U)
| ~ greater(Z,U) ),
inference(resolution,[],['510','252']) ).
cnf('512',plain,
greater(e_4,e_3),
inference(cnf_transformation,[],[e_4_greater_e_3]) ).
cnf('513',plain,
( cycle(e_3,e_0)
| ~ cycle(e_3,X)
| ~ next(e_4,Y)
| ~ cycle(Y,Z)
| ~ greater(X,Z) ),
inference(resolution,[],['511','512']) ).
cnf('514',plain,
( cycle(e_3,e_0)
| ~ greater(e_1,X)
| ~ next(e_4,Y)
| ~ cycle(Y,X) ),
inference(resolution,[],['513','505']) ).
cnf('515',plain,
( cycle(e_3,e_0)
| ~ next(e_4,X)
| ~ cycle(X,e_0) ),
inference(resolution,[],['514','281']) ).
cnf('516',plain,
cycle(e_3,e_0),
inference(resolution,[then_simplify],['515','27','258']) ).
cnf('517',plain,
greater(e_5,e_3),
inference(cnf_transformation,[],[e_5_greater_e_3]) ).
cnf('518',plain,
( ~ cycle(e_3,e_0)
| 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],['75','284','517']) ).
cnf('519',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,[],['516','518']) ).
cnf('520',plain,
cycle(e_3,e_0),
inference(resolution,[then_simplify],['515','27','258']) ).
cnf('521',plain,
greater(e_4,e_3),
inference(cnf_transformation,[],[e_4_greater_e_3]) ).
cnf('522',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[then_simplify],['519','284','520','521']) ).
cnf('523',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_3,X,e_3)
| equalish(X,e_1) ),
inference(resolution,[],['522','12']) ).
cnf('524',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[],['522','15']) ).
cnf('525',plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(resolution,[then_simplify],['523','524','38']) ).
cnf('526',plain,
( product(e_3,e_1,e_1)
| ~ product(X,e_1,e_3)
| product(X,e_3,e_2) ),
inference(resolution,[],['525','14']) ).
cnf('527',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[],['526','328']) ).
cnf('528',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['527','295','38']) ).
cnf('529',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['528','406','407']) ).
cnf('530',plain,
( product(e_3,e_1,e_1)
| ~ product(X,e_1,e_2)
| equalish(X,e_3) ),
inference(resolution,[],['525','6']) ).
cnf('531',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['529','530','132']) ).
cnf('532',plain,
( product(e_2,e_1,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[then_simplify],['531','295','38']) ).
cnf('533',plain,
cycle(e_4,e_0),
inference(resolution,[then_simplify],['532','295','45']) ).
cnf('534',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(resolution,[],['21','4']) ).
cnf('535',plain,
( ~ cycle(X,Y)
| ~ cycle(Z,X)
| ~ greater(Y,e_0)
| ~ next(X,Z)
| equalish(Y,Z) ),
inference(factorization,[],['23']) ).
cnf('536',plain,
( equalish(e_4,X)
| ~ cycle(X,Y)
| ~ cycle(Y,e_4)
| ~ next(Y,X) ),
inference(resolution,[],['535','24']) ).
cnf('537',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_2,X)
| equalish(e_4,X)
| ~ cycle(X,e_2) ),
inference(resolution,[],['534','536']) ).
cnf('538',plain,
next(e_2,e_3),
inference(cnf_transformation,[],[e_2_then_e_3]) ).
cnf('539',plain,
( ~ cycle(e_3,e_2)
| cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(resolution,[then_simplify],['537','538','77']) ).
cnf('540',plain,
( cycle(e_2,e_0)
| cycle(e_3,e_0)
| cycle(e_2,e_1)
| cycle(e_3,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(resolution,[],['482','539']) ).
cnf('541',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_2,X)
| equalish(e_4,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['534','25']) ).
cnf('542',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_3,X)
| equalish(e_4,Y)
| ~ next(X,Y) ),
inference(resolution,[],['541','538']) ).
cnf('543',plain,
( cycle(e_2,e_0)
| cycle(e_3,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_1,X)
| equalish(e_4,X) ),
inference(resolution,[],['540','542']) ).
cnf('544',plain,
( cycle(e_2,e_0)
| cycle(e_3,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(resolution,[then_simplify],['543','250','10']) ).
cnf('545',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ next(e_0,X)
| equalish(e_4,X) ),
inference(resolution,[],['544','542']) ).
cnf('546',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(resolution,[then_simplify],['545','31','17']) ).
cnf('547',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_2,X)
| equalish(e_3,Y)
| ~ cycle(X,Z)
| ~ next(Z,Y) ),
inference(resolution,[],['546','34']) ).
cnf('548',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ cycle(e_3,X)
| equalish(e_3,Y)
| ~ next(X,Y) ),
inference(resolution,[],['547','538']) ).
cnf('549',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| ~ next(e_0,X)
| equalish(e_3,X) ),
inference(resolution,[],['516','548']) ).
cnf('550',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2) ),
inference(resolution,[then_simplify],['549','31','38']) ).
cnf('551',plain,
( ~ greater(e_3,X)
| ~ next(e_3,Y)
| ~ cycle(X,Z)
| ~ cycle(Y,U)
| ~ greater(Z,U) ),
inference(resolution,[],['516','252']) ).
cnf('552',plain,
greater(e_3,e_2),
inference(cnf_transformation,[],[e_3_greater_e_2]) ).
cnf('553',plain,
( ~ cycle(e_2,X)
| ~ next(e_3,Y)
| ~ cycle(Y,Z)
| ~ greater(X,Z) ),
inference(resolution,[],['551','552']) ).
cnf('554',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| ~ greater(e_2,X)
| ~ next(e_3,Y)
| ~ cycle(Y,X) ),
inference(resolution,[],['550','553']) ).
cnf('555',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| ~ next(e_3,X)
| ~ cycle(X,e_0) ),
inference(resolution,[],['554','40']) ).
cnf('556',plain,
( ~ cycle(e_4,e_0)
| cycle(e_2,e_0)
| cycle(e_2,e_1) ),
inference(resolution,[],['555','471']) ).
cnf('557',plain,
greater(e_2,e_1),
inference(cnf_transformation,[],[e_2_greater_e_1]) ).
cnf('558',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| ~ next(e_3,X)
| ~ cycle(X,e_1) ),
inference(resolution,[],['554','557']) ).
cnf('559',plain,
( ~ cycle(e_4,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_1) ),
inference(resolution,[],['558','471']) ).
cnf('560',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[],['559','46']) ).
cnf('561',plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1) ),
inference(resolution,[],['556','560']) ).
cnf('562',plain,
( cycle(e_2,e_0)
| ~ greater(e_1,X)
| ~ next(e_3,Y)
| ~ cycle(Y,X) ),
inference(resolution,[],['561','553']) ).
cnf('563',plain,
( cycle(e_2,e_0)
| ~ next(e_3,X)
| ~ cycle(X,e_0) ),
inference(resolution,[],['562','281']) ).
cnf('564',plain,
( ~ cycle(e_4,e_0)
| cycle(e_2,e_0) ),
inference(resolution,[],['563','471']) ).
cnf('565',plain,
cycle(e_2,e_0),
inference(resolution,[],['533','564']) ).
cnf('566',plain,
greater(e_5,e_2),
inference(cnf_transformation,[],[e_5_greater_e_2]) ).
cnf('567',plain,
( ~ cycle(e_2,e_0)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[then_simplify],['5','284','566']) ).
cnf('568',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,[],['565','567']) ).
cnf('569',plain,
cycle(e_2,e_0),
inference(resolution,[],['533','564']) ).
cnf('570',plain,
greater(e_4,e_2),
inference(cnf_transformation,[],[e_4_greater_e_2]) ).
cnf('571',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],['568','284','569','570']) ).
cnf('572',plain,
greater(e_3,e_2),
inference(cnf_transformation,[],[e_3_greater_e_2]) ).
cnf('573',plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[then_simplify],['571','284','569','572']) ).
cnf('574',plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[then_simplify],['573','530','132']) ).
cnf('575',plain,
product(e_2,e_1,e_1),
inference(resolution,[then_simplify],['574','295','38']) ).
cnf('576',plain,
$false,
inference(resolution,[then_simplify],['575','295','45']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP128-3.005 : TPTP v8.1.2. Released v1.2.0.
% 0.13/0.13 % Command : gkc %s
% 0.13/0.34 % Computer : n004.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 21:42:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.38
% 0.19/0.38 input clause set summed statistics:
% 0.19/0.38 ----------------------------------
% 0.19/0.38 in_clause_count: 57
% 0.19/0.38 in_rule_clause_count: 31
% 0.19/0.38 in_fact_clause_count: 26
% 0.19/0.38 in_answer_clause_count: 0
% 0.19/0.38 in_ground_clause_count: 46
% 0.19/0.38 in_unit_clause_count: 46
% 0.19/0.38 in_horn_clause_count: 55
% 0.19/0.38 in_pos_clause_count: 26
% 0.19/0.38 in_neg_clause_count: 22
% 0.19/0.38 in_poseq_clause_count: 0
% 0.19/0.38 in_negeq_clause_count: 0
% 0.19/0.38 in_unitposeq_clause_count: 0
% 0.19/0.38 in_chain_clause_count: 0
% 0.19/0.38 in_min_length: 1
% 0.19/0.38 in_max_length: 7
% 0.19/0.38 in_min_depth: 1
% 0.19/0.38 in_max_depth: 1
% 0.19/0.38 in_min_size: 2
% 0.19/0.38 in_max_size: 24
% 0.19/0.38 in_min_vars: 0
% 0.19/0.38 in_max_vars: 5
% 0.19/0.38 in_extaxiom_count: 0
% 0.19/0.38 in_axiom_count: 56
% 0.19/0.38 in_assumption_count: 0
% 0.19/0.38 in_goal_count: 1
% 0.19/0.38 in_neg_goal_count: 0
% 0.19/0.38 in_pos_goal_count: 0
% 0.19/0.38 in_posunit_goal_count: 0
% 0.19/0.38
% 0.19/0.38 auto guide:
% 0.19/0.38 -----------
% 0.19/0.38 {
% 0.19/0.38 "print":1,
% 0.19/0.38 "print_level": 15,
% 0.19/0.38 "max_size": 0,
% 0.19/0.38 "max_depth": 0,
% 0.19/0.38 "max_length": 0,
% 0.19/0.38 "max_dseconds": 0,
% 0.19/0.38 "equality":0,
% 0.19/0.38 "runs":[
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
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% 0.19/0.54 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
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% 0.19/0.55 fork 3: search finished without proof.
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% 0.19/0.57 **** run 20 fork 3 starts with strategy
% 0.19/0.57 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":1}
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% 0.19/0.62 fork 5: search finished without proof.
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% 0.19/0.67 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.19/0.67
% 0.19/0.67 **** run 17 fork 0 starts with strategy
% 0.19/0.67 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":1}
% 0.19/0.67
% 0.19/0.67 **** run 18 fork 1 starts with strategy
% 0.19/0.67 {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
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% 0.19/0.68 **** run 24 fork 7 starts with strategy
% 0.19/0.68 {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 0.19/0.68
% 0.19/0.68 fork 3: search finished without proof.
% 0.19/0.68
% 0.19/0.68 **** run 19 fork 2 starts with strategy
% 0.19/0.68 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
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% 0.19/0.72 fork 1: search finished without proof.
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% 2.22/0.74 fork 3: search finished without proof.
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% 3.01/0.81 **** run 31 fork 6 starts with strategy
% 3.01/0.81 {"max_dseconds":1,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
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% 3.48/0.85 fork 7: search finished without proof.
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% 3.48/0.85 **** run 25 fork 0 starts with strategy
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% 3.48/0.85 fork 1: search finished without proof.
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% 3.80/0.86 **** run 38 fork 5 starts with strategy
% 3.80/0.86 {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
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% 3.80/0.87 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":2}
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% 3.80/0.90 **** run 44 fork 3 starts with strategy
% 3.80/0.90 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
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% 4.47/0.95
% 4.47/0.95 **** run 39 fork 6 starts with strategy
% 4.47/0.95 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.47/0.95
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% 4.47/0.95 fork 2: search terminated without proof.
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% 4.47/0.96 **** run 37 fork 4 starts with strategy
% 4.47/0.96 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 4.47/0.97
% 4.47/0.97 **** run 35 fork 2 starts with strategy
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% 4.47/0.97 fork 0: search finished without proof.
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% 4.80/0.99 **** run 33 fork 0 starts with strategy
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% 4.80/0.99 fork 4: search finished without proof.
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% 4.80/1.00 fork 1: search finished without proof.
% 4.80/1.00
% 4.80/1.00 **** run 46 fork 5 starts with strategy
% 4.80/1.00 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 4.80/1.01
% 4.80/1.01 **** run 45 fork 4 starts with strategy
% 4.80/1.01 {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 4.80/1.01
% 4.80/1.01 **** run 42 fork 1 starts with strategy
% 4.80/1.01 {"max_dseconds":1,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
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% 4.80/1.02 fork 0: search finished without proof.
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% 4.80/1.04 fork 4: search finished without proof.
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% 4.80/1.04 fork 1: search finished without proof.
% 5.27/1.04
% 5.27/1.04 **** run 41 fork 0 starts with strategy
% 5.27/1.04 {"max_dseconds":1,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 5.27/1.05
% 5.27/1.05 **** run 53 fork 4 starts with strategy
% 5.27/1.05 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 5.27/1.05
% 5.27/1.05 **** run 50 fork 1 starts with strategy
% 5.27/1.05 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 5.39/1.07
% 5.39/1.07 fork 6: search finished without proof.
% 5.39/1.09
% 5.39/1.09 **** run 47 fork 6 starts with strategy
% 5.39/1.09 {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 5.39/1.09
% 5.39/1.09 fork 2: search finished without proof.
% 5.39/1.10
% 5.39/1.10 **** run 43 fork 2 starts with strategy
% 5.39/1.10 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 6.19/1.16
% 6.19/1.16 fork 0: search finished without proof.
% 6.19/1.18
% 6.19/1.18 **** run 49 fork 0 starts with strategy
% 6.19/1.18 {"max_dseconds":10,"strategy":["unit"],"weight_select_ratio":100,"query_preference":0}
% 6.19/1.22
% 6.19/1.22
% 6.19/1.22 fork 2: search terminated without proof.
% 6.88/1.24
% 6.88/1.24 **** run 51 fork 2 starts with strategy
% 6.88/1.24 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 6.88/1.32
% 6.88/1.32 fork 0: search finished without proof.
% 6.88/1.35
% 6.88/1.35 **** run 57 fork 0 starts with strategy
% 6.88/1.35 {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 6.88/1.36
% 6.88/1.36 fork 2: search finished without proof.
% 6.88/1.37
% 6.88/1.37 **** run 59 fork 2 starts with strategy
% 6.88/1.37 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
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% 9.21/1.55 fork 0: search finished without proof.
% 9.21/1.57
% 9.21/1.57 **** run 65 fork 0 starts with strategy
% 9.21/1.57 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 11.60/1.92
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% 11.60/1.92
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% 11.60/1.92 fork 7: search terminated without proof.
% 11.60/1.94
% 11.60/1.94 **** run 52 fork 3 starts with strategy
% 11.60/1.94 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 11.60/1.94
% 11.60/1.94 **** run 56 fork 7 starts with strategy
% 11.60/1.94 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 11.60/2.02
% 11.60/2.02 fork 1: search finished without proof.
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% 11.60/2.02 fork 5: search terminated without proof.
% 11.60/2.04
% 11.60/2.04 **** run 58 fork 1 starts with strategy
% 11.60/2.04 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 11.60/2.04
% 11.60/2.04 **** run 54 fork 5 starts with strategy
% 11.60/2.04 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 11.60/2.06
% 11.60/2.06 fork 6: search finished without proof.
% 12.34/2.08
% 12.34/2.08 **** run 55 fork 6 starts with strategy
% 12.34/2.08 {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 12.34/2.08
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% 12.34/2.08 fork 4: search terminated without proof.
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% 12.34/2.09 fork 7: search finished without proof.
% 12.34/2.10
% 12.34/2.10 **** run 61 fork 4 starts with strategy
% 12.34/2.10 {"sine":2,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":10}
% 12.34/2.10
% 12.34/2.10 fork 6: search finished without proof.
% 12.34/2.10
% 12.34/2.10 **** run 64 fork 7 starts with strategy
% 12.34/2.10 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 12.34/2.12
% 12.34/2.12 **** run 63 fork 6 starts with strategy
% 12.34/2.12 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 13.81/2.13
% 13.81/2.13 fork 4: search finished without proof.
% 13.81/2.14
% 13.81/2.14 **** run 69 fork 4 starts with strategy
% 13.81/2.14 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 15.95/2.40
% 15.95/2.40
% 15.95/2.40 fork 2: search terminated without proof.
% 15.95/2.42
% 15.95/2.42 **** run 67 fork 2 starts with strategy
% 15.95/2.42 {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 18.15/2.67
% 18.15/2.67
% 18.15/2.67 fork 0: search terminated without proof.
% 18.15/2.69
% 18.15/2.69 **** run 73 fork 0 starts with strategy
% 18.15/2.69 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 18.15/2.76
% 18.15/2.76 fork 0: search finished without proof.
% 18.15/2.78
% 18.15/2.78 **** run 81 fork 0 starts with strategy
% 18.15/2.78 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 19.92/2.96
% 19.92/2.96
% 19.92/2.96 fork 3: search terminated without proof.
% 20.49/2.98
% 20.49/2.98 **** run 60 fork 3 starts with strategy
% 20.49/2.98 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 20.49/3.06
% 20.49/3.06
% 20.49/3.06 fork 1: search terminated without proof.
% 21.29/3.07
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% 21.29/3.07 fork 5: search terminated without proof.
% 21.29/3.07
% 21.29/3.07 **** run 66 fork 1 starts with strategy
% 21.29/3.07 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 21.29/3.08
% 21.29/3.08 **** run 62 fork 5 starts with strategy
% 21.29/3.08 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 21.76/3.13
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% 21.76/3.13 fork 7: search terminated without proof.
% 21.76/3.14
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% 21.76/3.14 fork 6: search terminated without proof.
% 21.76/3.14
% 21.76/3.14 **** run 72 fork 7 starts with strategy
% 21.76/3.14 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 21.76/3.14
% 21.76/3.14 fork 4: search finished without proof.
% 21.76/3.15
% 21.76/3.15 **** run 71 fork 6 starts with strategy
% 21.76/3.15 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
% 21.76/3.16
% 21.76/3.16 **** run 77 fork 4 starts with strategy
% 21.76/3.16 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 21.76/3.18
% 21.76/3.18 fork 6: search finished without proof.
% 21.76/3.19
% 21.76/3.19 **** run 79 fork 6 starts with strategy
% 21.76/3.19 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 22.34/3.21
% 22.34/3.21 fork 1: search finished without proof.
% 22.34/3.22
% 22.34/3.22 **** run 74 fork 1 starts with strategy
% 22.34/3.22 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 23.73/3.44
% 23.73/3.44
% 23.73/3.44 fork 2: search terminated without proof.
% 24.31/3.46
% 24.31/3.46 **** run 75 fork 2 starts with strategy
% 24.31/3.46 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":2}
% 24.31/3.48
% 24.31/3.48 fork 2: search finished without proof.
% 24.55/3.50
% 24.55/3.50 **** run 83 fork 2 starts with strategy
% 24.55/3.50 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":2}
% 24.87/3.53
% 24.87/3.53 fork 2: search finished without proof.
% 24.98/3.54
% 24.98/3.54 **** run 91 fork 2 starts with strategy
% 24.98/3.54 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 27.38/3.87
% 27.38/3.87
% 27.38/3.87 fork 0: search terminated without proof.
% 27.38/3.89
% 27.38/3.89 **** run 89 fork 0 starts with strategy
% 27.38/3.89 {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 28.02/4.00
% 28.02/4.00
% 28.02/4.00 fork 3: search terminated without proof.
% 28.02/4.02
% 28.02/4.02 **** run 68 fork 3 starts with strategy
% 28.02/4.02 {"max_dseconds":10,"strategy":["negative_pref"],"weight_select_ratio":20}
% 28.94/4.11
% 28.94/4.11
% 28.94/4.11 fork 5: search terminated without proof.
% 28.94/4.12
% 28.94/4.12 **** run 70 fork 5 starts with strategy
% 28.94/4.12 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 29.65/4.16
% 29.65/4.16
% 29.65/4.16 fork 7: search terminated without proof.
% 29.65/4.18
% 29.65/4.18 **** run 80 fork 7 starts with strategy
% 29.65/4.18 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 30.05/4.21
% 30.05/4.21 fork 7: search finished without proof.
% 30.05/4.22
% 30.05/4.22
% 30.05/4.22 fork 4: search terminated without proof.
% 30.05/4.23
% 30.05/4.23 **** run 88 fork 7 starts with strategy
% 30.05/4.23 {"max_dseconds":50,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 30.05/4.23
% 30.05/4.23 **** run 85 fork 4 starts with strategy
% 30.05/4.23 {"max_dseconds":10,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 30.05/4.24
% 30.05/4.24
% 30.05/4.24 fork 6: search terminated without proof.
% 30.57/4.25
% 30.57/4.25 fork 7: search finished without proof.
% 30.57/4.26
% 30.57/4.26 fork 4: search finished without proof.
% 30.57/4.26
% 30.57/4.26 **** run 87 fork 6 starts with strategy
% 30.57/4.26 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0}
% 30.69/4.27
% 30.69/4.27 **** run 93 fork 4 starts with strategy
% 30.69/4.27 {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 30.69/4.27
% 30.69/4.27 **** run 96 fork 7 starts with strategy
% 30.69/4.27 {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1}
% 30.69/4.29
% 30.69/4.29
% 30.69/4.29 fork 1: search terminated without proof.
% 31.05/4.31
% 31.05/4.31 **** run 82 fork 1 starts with strategy
% 31.05/4.31 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 32.02/4.48
% 32.02/4.48 fork 1: search finished without proof.
% 32.42/4.50
% 32.42/4.50 **** run 90 fork 1 starts with strategy
% 32.42/4.50 {"max_dseconds":50,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 35.20/4.88
% 35.20/4.88
% 35.20/4.88 result: proof found
% 35.20/4.88 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.20/4.88 by run 89 fork 0 strategy {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 35.20/4.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.20/4.88
% 35.20/4.88 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 35.20/4.88
% 35.20/4.88 run 89 fork 0 statistics:
% 35.20/4.88 ----------------------------------
% 35.20/4.88 this run seconds: 0.700527
% 35.20/4.88 total seconds: 3.926765
% 35.20/4.88 stat_given_used: 3812
% 35.20/4.88 stat_given_used_at_endgame: 0
% 35.20/4.88 stat_given_candidates: 14564
% 35.20/4.88 stat_given_candidates_at_endgame: 0
% 35.20/4.88 stat_given_candidates_h: 0
% 35.20/4.88 stat_binres_derived_cl: 86880
% 35.20/4.88 stat_binres_derived_cl_h: 0
% 35.20/4.88 stat_factor_derived_cl: 184
% 35.20/4.88 stat_para_derived_cl: 0
% 35.20/4.88 stat_tautologies_discarded: 136
% 35.20/4.88 stat_forward_subsumed: 37636
% 35.20/4.88 stat_derived_cut: 35507
% 35.20/4.88 stat_derived_rewritten: 0
% 35.20/4.88 stat_weight_discarded_building: 0
% 35.20/4.88 stat_weight_discarded_cl: 0
% 35.20/4.88 stat_internlimit_discarded_cl: 0
% 35.20/4.88 stat_simplified: 49 simplified 0 derived 0 given
% 35.20/4.88 stat_kept_cl: 49291
% 35.20/4.88 stat_built_cl: 56964
% 35.20/4.88 stat_hyperres_partial_cl: 0
% 35.20/4.88 stat_made_rewriters: 0
% 35.20/4.88 stat_backward_subsumed: 0
% 35.20/4.88 stat_propagated_subsumed: 0
% 35.20/4.88 stat_clsubs_attempted: 182971
% 35.20/4.88 stat_clsubs_fact_groundunit_found: 27
% 35.20/4.88 stat_clsubs_rule_groundunit_found: 20
% 35.20/4.88 stat_clsubs_top_meta_attempted: 21757016
% 35.20/4.88 stat_clsubs_top_meta_failed: 21574045
% 35.20/4.88 stat_clsubs_top_meta_nonpref_attempted: 21757016
% 35.20/4.88 stat_clsubs_top_meta_nonpref_succeeded: 3014020
% 35.20/4.88 stat_clsubs_top_meta_pref_attempted: 3014020
% 35.20/4.88 stat_clsubs_top_meta_pref1_succeeded: 2181912
% 35.20/4.88 stat_clsubs_top_meta_pref2_succeeded: 506629
% 35.20/4.88 stat_clsubs_top_meta_pref3_succeeded: 182971
% 35.20/4.88 stat_clsubs_top_meta_pref_succeeded: 182971
% 35.20/4.88 stat_clsubs_meta_attempted: 1122193
% 35.20/4.88 stat_clsubs_meta_failed: 559153
% 35.20/4.88 stat_clsubs_predsymbs_attempted: 0
% 35.20/4.88 stat_clsubs_unit_attempted: 0
% 35.20/4.88 stat_clsubs_full_attempted: 182971
% 35.20/4.88 stat_forwardsubs_attempted: 86928
% 35.20/4.88 stat_lit_hash_added: 294
% 35.20/4.88 stat_lit_hash_computed: 1565935
% 35.20/4.88 stat_lit_hash_match_found: 82079
% 35.20/4.88 stat_lit_hash_match_miss: 2346490
% 35.20/4.88 stat_lit_hash_cut_ok: 41730
% 35.20/4.88 stat_lit_strong_cut_ok: 0
% 35.20/4.88 stat_lit_hash_subsume_ok: 37636
% 35.20/4.88 clqueue els 10000000 used 1
% 35.20/4.88 clactive els 10000000 used 3813
% 35.20/4.88 clactivesubsume els 10000000 used 22519
% 35.20/4.88 queue_termbuf els 200000000 used 5734550
% 35.20/4.88 hyper_termbuf els 100000000 used 1
% 35.20/4.88 active_termbuf els 100000000 used 270580
% 35.20/4.88 varstack els 5000 last used 1
% 35.20/4.88 given_termbuf els 10000000 last used 1
% 35.20/4.88 simplified_termbuf els 10000000 last used 1
% 35.20/4.88 derived_termbuf els 10000000 last used 22
% 35.20/4.88 wr_mallocs: 9046
% 35.20/4.88 wr_callocs: 19
% 35.20/4.88 wr_reallocs: 619
% 35.20/4.88 wr_frees: 2
% 35.20/4.88 wr_malloc_bytes: 4162876980
% 35.20/4.88 wr_calloc_bytes: 96065504
% 35.20/4.88 wr_realloc_bytes: 1377696
% 35.20/4.88 wr_realloc_freebytes: 0
% 35.20/4.88 ----------------------------------
%------------------------------------------------------------------------------