TSTP Solution File: GRP414-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP414-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n023.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 00:54:05 EDT 2023
% Result : Unsatisfiable 198.42s 25.39s
% Output : CNFRefutation 198.42s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named single_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
multiply(X,inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(multiply(X,inverse(Y))),Z))),Y))) = Z,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('2',plain,
multiply(X,inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(Z)),Y))) = inverse(multiply(multiply(multiply(inverse(U),U),inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),inverse(U))),Z))),U)),
inference(paramodulation,[],['1','1']) ).
cnf('3',plain,
inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(Y,inverse(Z))),inverse(X))),multiply(inverse(multiply(Y,inverse(Z))),U)))),X)) = U,
inference(paramodulation,[],['2','1']) ).
cnf('4',plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(Z)),Y)))) = Z,
inference(paramodulation,[],['2','1']) ).
cnf('5',plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)) = multiply(inverse(multiply(inverse(multiply(U,inverse(V))),inverse(Y))),multiply(inverse(multiply(U,inverse(V))),Z)),
inference(paramodulation,[],['3','4']) ).
cnf('6',plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(Z,Y)))) = multiply(multiply(multiply(inverse(U),U),inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(U))),Z))),U),
inference(paramodulation,[],['1','4']) ).
cnf('7',plain,
multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(X))),multiply(multiply(inverse(Y),Y),inverse(Z))))),X) = Z,
inference(paramodulation,[],['6','4']) ).
cnf('8',plain,
multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(multiply(Y,inverse(Z))),inverse(X))),multiply(inverse(multiply(Y,inverse(Z))),inverse(U))))),X) = U,
inference(paramodulation,[],['5','7']) ).
cnf('9',plain,
multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,inverse(Z))))),X) = Z,
inference(paramodulation,[],['5','8']) ).
cnf('10',plain,
inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(Y3),inverse(X3))),multiply(inverse(multiply(Z3,inverse(multiply(multiply(multiply(inverse(U3),U3),inverse(multiply(inverse(multiply(Z3,inverse(U3))),Y3))),U3)))),V3)))),X3)) = V3,
inference(paramodulation,[],['1','3']) ).
cnf('11',plain,
inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(inverse(Y),inverse(X))),multiply(inverse(Y),Z)))),X)) = Z,
inference(simplify,[],['10','1']) ).
cnf('12',plain,
inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(Y3),Y3),inverse(multiply(inverse(multiply(inverse(Z3),inverse(Y3))),multiply(inverse(Z3),U3)))),Y3)),inverse(X3))),multiply(U3,V3)))),X3)) = V3,
inference(paramodulation,[],['11','11']) ).
cnf('13',plain,
inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,Z)))),X)) = Z,
inference(simplify,[],['12','11']) ).
cnf('14',plain,
inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(Y,multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(multiply(Z,inverse(inverse(X)))),multiply(Z,Y)))),U)))),X)) = U,
inference(paramodulation,[],['13','13']) ).
cnf('15',plain,
inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))),X)) = inverse(X),
inference(paramodulation,[],['7','14']) ).
cnf('16',plain,
multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(Y),Y))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(X)),Z))),X))) = Z,
inference(paramodulation,[],['15','1']) ).
cnf('17',plain,
multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(Y),Y))),inverse(X)) = inverse(X),
inference(paramodulation,[],['15','16']) ).
cnf('18',plain,
multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(X)),multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(Y),Y))),inverse(Z))))),X) = Z,
inference(paramodulation,[],['15','9']) ).
cnf('19',plain,
multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(X)),inverse(X)))),X) = X,
inference(paramodulation,[],['17','18']) ).
cnf('20',plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(Y))) = multiply(inverse(inverse(Y)),inverse(Y)),
inference(paramodulation,[],['19','4']) ).
cnf('21',plain,
multiply(inverse(multiply(multiply(multiply(inverse(inverse(X3)),inverse(X3)),inverse(multiply(inverse(multiply(Y3,inverse(inverse(X3)))),multiply(Y3,inverse(Z3))))),inverse(X3))),Z3) = multiply(inverse(inverse(X3)),inverse(X3)),
inference(paramodulation,[],['9','20']) ).
cnf('22',plain,
multiply(inverse(X),X) = multiply(inverse(inverse(Y)),inverse(Y)),
inference(simplify,[],['21','9']) ).
cnf('23',plain,
multiply(multiply(multiply(inverse(X),X),inverse(multiply(Y,multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(multiply(Z,inverse(inverse(X)))),multiply(Z,Y)))),inverse(U))))),X) = U,
inference(paramodulation,[],['13','9']) ).
cnf('24',plain,
multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(Y),Y))),X) = X,
inference(paramodulation,[],['9','23']) ).
cnf('25',plain,
multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(Y),Y))),Z) = Z,
inference(paramodulation,[],['22','24']) ).
cnf('26',plain,
multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(multiply(Y,inverse(inverse(X)))),multiply(Y,Z)))),inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(Z,U))),X))) = U,
inference(paramodulation,[],['13','1']) ).
cnf('27',plain,
inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(X)),Y))),X)) = Y,
inference(paramodulation,[],['25','26']) ).
cnf('28',plain,
inverse(multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(inverse(Y)),Z))),Y)) = Z,
inference(paramodulation,[],['22','27']) ).
cnf('29',plain,
inverse(multiply(multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(Y)),Z))),Y)) = Z,
inference(paramodulation,[],['22','28']) ).
cnf('30',plain,
inverse(multiply(inverse(multiply(X,inverse(Y))),multiply(X,inverse(multiply(multiply(multiply(inverse(Y),Y),Z),Y))))) = Z,
inference(paramodulation,[],['6','13']) ).
cnf('31',plain,
inverse(multiply(X,multiply(multiply(multiply(inverse(inverse(Y)),inverse(Y)),inverse(multiply(inverse(multiply(Z,inverse(inverse(Y)))),multiply(Z,X)))),inverse(multiply(multiply(multiply(inverse(Y),Y),U),Y))))) = U,
inference(paramodulation,[],['13','30']) ).
cnf('32',plain,
inverse(multiply(inverse(inverse(X)),inverse(multiply(multiply(multiply(inverse(X),X),Y),X)))) = Y,
inference(paramodulation,[],['25','31']) ).
cnf('33',plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)) = multiply(U,multiply(multiply(multiply(inverse(inverse(Y)),inverse(Y)),inverse(multiply(inverse(multiply(V,inverse(inverse(Y)))),multiply(V,U)))),Z)),
inference(paramodulation,[],['14','4']) ).
cnf('34',plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)) = multiply(inverse(inverse(Y)),Z),
inference(paramodulation,[],['25','33']) ).
cnf('35',plain,
multiply(X,multiply(inverse(inverse(Y)),Z)) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(Y),Y),X),Y))),Z),
inference(paramodulation,[],['32','34']) ).
cnf('36',plain,
multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(inverse(inverse(X)),Z)) = multiply(inverse(Y),Z),
inference(paramodulation,[],['29','35']) ).
cnf('37',plain,
multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(inverse(Z),Z)) = multiply(inverse(Y),inverse(X)),
inference(paramodulation,[],['22','36']) ).
cnf('38',plain,
inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X3),X3),Y3),X3))),inverse(X3))),multiply(inverse(Z3),Z3))) = Y3,
inference(paramodulation,[],['22','30']) ).
cnf('39',plain,
inverse(multiply(inverse(inverse(X)),inverse(multiply(multiply(multiply(inverse(inverse(Y)),inverse(Y)),Z),X)))) = Z,
inference(paramodulation,[],['22','32']) ).
cnf('40',plain,
inverse(multiply(inverse(inverse(X)),inverse(multiply(multiply(multiply(inverse(Y),Y),Z),X)))) = Z,
inference(paramodulation,[],['22','39']) ).
cnf('41',plain,
multiply(X,multiply(inverse(inverse(Y)),Z)) = multiply(inverse(inverse(multiply(multiply(multiply(inverse(U),U),X),Y))),Z),
inference(paramodulation,[],['40','34']) ).
cnf('42',plain,
inverse(multiply(inverse(multiply(X,multiply(inverse(inverse(Y)),inverse(Y)))),multiply(inverse(Z),Z))) = X,
inference(simplify,[],['38','41']) ).
cnf('43',plain,
inverse(multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(inverse(Z),Z))) = X,
inference(paramodulation,[],['22','42']) ).
cnf('44',plain,
multiply(inverse(multiply(X3,inverse(Y3))),multiply(X3,inverse(Y3))) = multiply(multiply(multiply(inverse(Z3),Z3),inverse(multiply(inverse(multiply(multiply(inverse(Y3),Y3),inverse(Z3))),multiply(multiply(inverse(Y3),Y3),inverse(multiply(inverse(U3),U3)))))),Z3),
inference(paramodulation,[],['15','6']) ).
cnf('45',plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(multiply(Y,inverse(X))),multiply(Y,inverse(multiply(Z,X)))))) = Z,
inference(paramodulation,[],['6','1']) ).
cnf('46',plain,
multiply(multiply(inverse(X),X),inverse(multiply(Y,multiply(multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(multiply(Z,inverse(inverse(X)))),multiply(Z,Y)))),inverse(multiply(U,X)))))) = U,
inference(paramodulation,[],['13','45']) ).
cnf('47',plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(X)),inverse(multiply(Y,X))))) = Y,
inference(paramodulation,[],['25','46']) ).
cnf('48',plain,
multiply(multiply(inverse(inverse(X)),inverse(X)),inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,Y))))) = Z,
inference(paramodulation,[],['22','47']) ).
cnf('49',plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,Y))))) = Z,
inference(paramodulation,[],['22','48']) ).
cnf('50',plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(Y)),inverse(multiply(inverse(inverse(Z)),inverse(Z)))))) = inverse(Y),
inference(paramodulation,[],['22','49']) ).
cnf('51',plain,
multiply(multiply(inverse(X),X),inverse(multiply(inverse(inverse(Y)),inverse(multiply(inverse(Z),Z))))) = inverse(Y),
inference(paramodulation,[],['22','50']) ).
cnf('52',plain,
multiply(inverse(inverse(X)),inverse(X)) = multiply(inverse(Y),Y),
inference(simplify,[then_simplify],['44','34','34','51']) ).
cnf('53',plain,
multiply(X,multiply(multiply(multiply(inverse(inverse(Y)),inverse(Y)),inverse(multiply(inverse(multiply(Z,inverse(inverse(Y)))),multiply(Z,X)))),inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(U)),Y)))) = U,
inference(paramodulation,[],['13','4']) ).
cnf('54',plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(multiply(inverse(X),X),inverse(Y)),X))) = Y,
inference(paramodulation,[],['25','53']) ).
cnf('55',plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(multiply(inverse(inverse(Y)),inverse(Y)),inverse(Z)),X))) = Z,
inference(paramodulation,[],['22','54']) ).
cnf('56',plain,
multiply(inverse(inverse(X)),inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(Z)),X))) = Z,
inference(paramodulation,[],['22','55']) ).
cnf('57',plain,
multiply(inverse(multiply(inverse(inverse(X)),Y)),Z) = multiply(inverse(Y),inverse(multiply(multiply(multiply(inverse(U),U),inverse(Z)),X))),
inference(paramodulation,[],['56','36']) ).
cnf('58',plain,
multiply(X,inverse(multiply(multiply(multiply(inverse(inverse(Y)),inverse(Y)),inverse(multiply(inverse(multiply(X,inverse(Z))),U))),Z))) = U,
inference(paramodulation,[],['22','1']) ).
cnf('59',plain,
multiply(X,inverse(multiply(multiply(multiply(inverse(Y),Y),inverse(multiply(inverse(multiply(X,inverse(Z))),U))),Z))) = U,
inference(paramodulation,[],['22','58']) ).
cnf('60',plain,
multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(inverse(multiply(inverse(Y),inverse(X))),Z)) = Z,
inference(paramodulation,[],['57','59']) ).
cnf('61',plain,
multiply(X3,multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(Y3),Y3),X3),Z3))),inverse(Z3))),U3)) = U3,
inference(paramodulation,[],['40','60']) ).
cnf('62',plain,
multiply(X,multiply(inverse(multiply(X,multiply(inverse(inverse(Y)),inverse(Y)))),Z)) = Z,
inference(simplify,[],['61','41']) ).
cnf('63',plain,
multiply(X,multiply(inverse(multiply(X,multiply(inverse(Y),Y))),Z)) = Z,
inference(paramodulation,[],['52','62']) ).
cnf('64',plain,
multiply(inverse(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X),X),inverse(Y)),multiply(inverse(Z),Z))),U))),inverse(U)) = Y,
inference(paramodulation,[],['63','56']) ).
cnf('65',plain,
multiply(inverse(multiply(multiply(inverse(X),X),inverse(Y))),inverse(multiply(inverse(Z),Z))) = Y,
inference(paramodulation,[],['43','64']) ).
cnf('66',plain,
inverse(multiply(inverse(multiply(X3,inverse(Y3))),multiply(X3,inverse(multiply(inverse(multiply(Z3,inverse(U3))),multiply(Z3,inverse(multiply(V3,U3)))))))) = inverse(multiply(inverse(multiply(multiply(inverse(U3),U3),inverse(Y3))),V3)),
inference(paramodulation,[],['6','30']) ).
cnf('67',plain,
inverse(multiply(inverse(inverse(X)),inverse(multiply(inverse(inverse(Y)),inverse(multiply(Z,Y)))))) = inverse(multiply(inverse(multiply(multiply(inverse(Y),Y),inverse(X))),Z)),
inference(simplify,[then_simplify],['66','34','34']) ).
cnf('68',plain,
inverse(multiply(inverse(inverse(X3)),inverse(multiply(inverse(inverse(Y3)),inverse(multiply(inverse(multiply(inverse(Z3),Z3)),Y3)))))) = inverse(X3),
inference(paramodulation,[],['65','67']) ).
cnf('69',plain,
multiply(inverse(multiply(inverse(inverse(X)),inverse(X))),Y) = Y,
inference(paramodulation,[],['54','4']) ).
cnf('70',plain,
multiply(inverse(multiply(inverse(X),X)),Y) = Y,
inference(paramodulation,[],['22','69']) ).
cnf('71',plain,
inverse(multiply(inverse(inverse(X)),inverse(multiply(inverse(inverse(Y)),inverse(Y))))) = inverse(X),
inference(simplify,[],['68','70']) ).
cnf('72',plain,
multiply(multiply(inverse(X),X),inverse(Y)) = inverse(Y),
inference(paramodulation,[],['71','51']) ).
cnf('73',plain,
inverse(multiply(inverse(multiply(inverse(inverse(X)),Y)),X)) = Y,
inference(paramodulation,[],['72','29']) ).
cnf('74',plain,
inverse(multiply(inverse(X),inverse(multiply(inverse(Y),Y)))) = X,
inference(paramodulation,[],['37','73']) ).
cnf('75',plain,
multiply(inverse(inverse(inverse(multiply(inverse(X),X)))),Y) = Y,
inference(paramodulation,[],['74','73']) ).
cnf('76',plain,
inverse(multiply(inverse(inverse(X)),inverse(multiply(Y,X)))) = Y,
inference(paramodulation,[],['72','49']) ).
cnf('77',plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference(paramodulation,[],['76','40']) ).
cnf('78',plain,
multiply(inverse(inverse(multiply(inverse(X),X))),Y) = Y,
inference(paramodulation,[],['75','77']) ).
cnf('79',plain,
inverse(multiply(inverse(X),multiply(inverse(Y),Y))) = X,
inference(paramodulation,[],['78','73']) ).
cnf('80',plain,
inverse(multiply(inverse(multiply(X3,inverse(Y3))),multiply(X3,inverse(Y3)))) = inverse(multiply(inverse(Z3),Z3)),
inference(paramodulation,[],['15','30']) ).
cnf('81',plain,
inverse(multiply(inverse(inverse(X)),inverse(X))) = inverse(multiply(inverse(Y),Y)),
inference(simplify,[],['80','34']) ).
cnf('82',plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(inverse(X)),inverse(X)))),inverse(multiply(inverse(Y),Y)))),Z) = Z,
inference(paramodulation,[],['81','69']) ).
cnf('83',plain,
multiply(inverse(multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),Y)))),Z) = Z,
inference(paramodulation,[],['22','82']) ).
cnf('84',plain,
multiply(inverse(multiply(X,multiply(inverse(Y),Y))),multiply(X,Z)) = Z,
inference(paramodulation,[],['43','62']) ).
cnf('85',plain,
multiply(inverse(multiply(X,multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))))),multiply(X,U)) = U,
inference(paramodulation,[],['83','84']) ).
cnf('86',plain,
multiply(X,multiply(inverse(X),Y)) = Y,
inference(paramodulation,[],['79','85']) ).
cnf('87',plain,
inverse(inverse(X)) = X,
inference(paramodulation,[],['86','79']) ).
cnf('88',plain,
multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),X))) = Y,
inference(paramodulation,[],['72','56']) ).
cnf('89',plain,
multiply(X,inverse(multiply(inverse(Y),X))) = Y,
inference(paramodulation,[],['87','88']) ).
cnf('90',plain,
multiply(inverse(multiply(X3,inverse(Y3))),multiply(X3,Z3)) = multiply(inverse(multiply(inverse(U3),inverse(Y3))),multiply(inverse(multiply(multiply(inverse(V3),V3),inverse(multiply(inverse(multiply(W3,inverse(V3))),multiply(W3,inverse(multiply(U3,V3))))))),Z3)),
inference(paramodulation,[],['45','5']) ).
cnf('91',plain,
multiply(inverse(inverse(inverse(multiply(X,Y)))),X) = inverse(Y),
inference(paramodulation,[],['76','88']) ).
cnf('92',plain,
multiply(inverse(multiply(X,Y)),X) = inverse(Y),
inference(paramodulation,[],['87','91']) ).
cnf('93',plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference(paramodulation,[],['92','86']) ).
cnf('94',plain,
multiply(multiply(X,inverse(Y)),Y) = X,
inference(paramodulation,[],['87','93']) ).
cnf('95',plain,
inverse(multiply(X,inverse(multiply(Y,X)))) = Y,
inference(paramodulation,[],['87','76']) ).
cnf('96',plain,
inverse(multiply(X,inverse(Y))) = multiply(Y,inverse(X)),
inference(paramodulation,[],['94','95']) ).
cnf('97',plain,
multiply(inverse(multiply(X3,inverse(Y3))),multiply(X3,Z3)) = multiply(inverse(multiply(inverse(multiply(U3,inverse(V3))),inverse(Y3))),multiply(inverse(multiply(U3,inverse(multiply(multiply(multiply(inverse(V3),V3),inverse(multiply(inverse(W3),W3))),V3)))),Z3)),
inference(paramodulation,[],['15','5']) ).
cnf('98',plain,
multiply(inverse(X),Y) = inverse(multiply(inverse(Y),X)),
inference(paramodulation,[],['88','86']) ).
cnf('99',plain,
multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(Y3)),X3))),inverse(X3))),multiply(inverse(Z3),Z3)) = Y3,
inference(paramodulation,[],['22','4']) ).
cnf('100',plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(inverse(Y)),inverse(Y)))),multiply(inverse(Z),Z)) = X,
inference(simplify,[],['99','41']) ).
cnf('101',plain,
multiply(inverse(multiply(inverse(X),multiply(inverse(Y),Y))),multiply(inverse(Z),Z)) = X,
inference(paramodulation,[],['22','100']) ).
cnf('102',plain,
multiply(X,multiply(inverse(Y),Y)) = X,
inference(paramodulation,[],['79','101']) ).
cnf('103',plain,
multiply(inverse(inverse(X3)),multiply(multiply(multiply(inverse(inverse(X3)),inverse(X3)),inverse(multiply(inverse(Y3),Y3))),Z3)) = multiply(inverse(multiply(inverse(multiply(U3,inverse(V3))),inverse(X3))),multiply(inverse(multiply(U3,inverse(V3))),Z3)),
inference(paramodulation,[],['15','5']) ).
cnf('104',plain,
multiply(multiply(X,inverse(X)),Y) = Y,
inference(paramodulation,[],['87','77']) ).
cnf('105',plain,
multiply(X,Y) = multiply(multiply(X,multiply(Z,inverse(U))),multiply(multiply(U,inverse(Z)),Y)),
inference(simplify,[then_simplify],['103','87','87','98','104','77','96','96','96','96']) ).
cnf('106',plain,
multiply(multiply(X,inverse(Y)),multiply(Y,Z)) = multiply(X,Z),
inference(simplify,[then_simplify],['97','96','96','96','96','98','102','77','96','105']) ).
cnf('107',plain,
multiply(X,multiply(Y,inverse(Y))) = X,
inference(paramodulation,[],['87','102']) ).
cnf('108',plain,
multiply(inverse(multiply(X,inverse(Y))),multiply(X,Z)) = multiply(inverse(multiply(U,inverse(Y))),multiply(U,Z)),
inference(paramodulation,[],['13','4']) ).
cnf('109',plain,
multiply(inverse(X),multiply(Y,Z)) = multiply(inverse(multiply(U,inverse(multiply(multiply(multiply(inverse(V),V),inverse(multiply(inverse(multiply(Y,inverse(V))),X))),V)))),multiply(U,Z)),
inference(paramodulation,[],['1','108']) ).
cnf('110',plain,
multiply(inverse(X),multiply(Y,Z)) = multiply(inverse(multiply(inverse(multiply(Y,inverse(U))),X)),multiply(inverse(inverse(U)),Z)),
inference(paramodulation,[],['32','109']) ).
cnf('111',plain,
multiply(inverse(X),multiply(Y,inverse(Z))) = multiply(inverse(multiply(inverse(multiply(Y,inverse(Z))),X)),multiply(inverse(U),U)),
inference(paramodulation,[],['22','110']) ).
cnf('112',plain,
multiply(inverse(multiply(inverse(multiply(X,inverse(Y))),Z)),multiply(inverse(multiply(inverse(Z),multiply(X,inverse(Y)))),U)) = U,
inference(paramodulation,[],['111','62']) ).
cnf('113',plain,
multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(inverse(multiply(inverse(multiply(Z,Y)),multiply(Z,inverse(X)))),U)) = U,
inference(paramodulation,[],['34','112']) ).
cnf('114',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z))) = multiply(inverse(Y),inverse(Z)),
inference(paramodulation,[],['113','37']) ).
cnf('115',plain,
inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)),
inference(paramodulation,[],['107','114']) ).
cnf('116',plain,
multiply(X,multiply(inverse(multiply(X,multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z))))),U)) = U,
inference(paramodulation,[],['83','63']) ).
cnf('117',plain,
multiply(inverse(X),multiply(X,Y)) = Y,
inference(paramodulation,[],['79','116']) ).
cnf('118',plain,
multiply(X,inverse(multiply(Y,X))) = inverse(Y),
inference(paramodulation,[],['117','93']) ).
cnf('119',plain,
multiply(X,Y) = multiply(multiply(X,Z),multiply(inverse(Z),Y)),
inference(simplify,[then_simplify],['90','96','106','115','87','96','106','118','87','77']) ).
cnf('120',plain,
multiply(X3,inverse(multiply(inverse(Y3),inverse(Z3)))) = multiply(multiply(X3,Z3),Y3),
inference(paramodulation,[],['89','119']) ).
cnf('121',plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z),
inference(simplify,[then_simplify],['120','115','87']) ).
cnf('122',plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[],[prove_these_axioms_3]) ).
cnf('123',plain,
$false,
inference(paramodulation,[],['121','122']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP414-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 02:51:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.39
% 0.12/0.39 input clause set summed statistics:
% 0.12/0.39 ----------------------------------
% 0.12/0.39 in_clause_count: 2
% 0.12/0.39 in_rule_clause_count: 2
% 0.12/0.39 in_fact_clause_count: 0
% 0.12/0.39 in_answer_clause_count: 0
% 0.12/0.39 in_ground_clause_count: 1
% 0.12/0.39 in_unit_clause_count: 2
% 0.12/0.39 in_horn_clause_count: 2
% 0.12/0.39 in_pos_clause_count: 1
% 0.12/0.39 in_neg_clause_count: 1
% 0.12/0.39 in_poseq_clause_count: 1
% 0.12/0.39 in_negeq_clause_count: 1
% 0.12/0.39 in_unitposeq_clause_count: 1
% 0.12/0.39 in_chain_clause_count: 0
% 0.12/0.39 in_min_length: 1
% 0.12/0.39 in_max_length: 1
% 0.12/0.39 in_min_depth: 3
% 0.12/0.39 in_max_depth: 10
% 0.12/0.39 in_min_size: 11
% 0.12/0.39 in_max_size: 20
% 0.12/0.39 in_min_vars: 0
% 0.12/0.39 in_max_vars: 3
% 0.12/0.39 in_extaxiom_count: 0
% 0.12/0.39 in_axiom_count: 1
% 0.12/0.39 in_assumption_count: 0
% 0.12/0.39 in_goal_count: 1
% 0.12/0.39 in_neg_goal_count: 1
% 0.12/0.39 in_pos_goal_count: 0
% 0.12/0.39 in_posunit_goal_count: 0
% 0.12/0.39
% 0.12/0.39 auto guide:
% 0.12/0.39 -----------
% 0.12/0.39 {
% 0.12/0.39 "print":1,
% 0.12/0.39 "print_level": 15,
% 0.12/0.39 "max_size": 0,
% 0.12/0.39 "max_depth": 0,
% 0.12/0.39 "max_length": 0,
% 0.12/0.39 "max_dseconds": 0,
% 0.12/0.39 "runs":[
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
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% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
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% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 2},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.12/0.39 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.12/0.39
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 0},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 2},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.12/0.39 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.12/0.39 {"max_dseconds": 10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
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% 51.34/6.85 **** run 140 fork 3 starts with strategy
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% 53.54/7.10 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":20}
% 53.72/7.12
% 53.72/7.12 fork 6: search finished without proof.
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% 61.78/8.16 fork 5: search finished without proof.
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% 62.31/8.20
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% 130.62/16.87 fork 7: search finished without proof.
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% 137.01/17.63
% 137.01/17.63 **** run 156 fork 3 starts with strategy
% 137.01/17.63 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 137.32/17.65
% 137.32/17.65 fork 3: search finished without proof.
% 137.32/17.66
% 137.32/17.66 **** run 153 fork 0 starts with strategy
% 137.32/17.66 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 137.32/17.66
% 137.32/17.66 **** run 164 fork 3 starts with strategy
% 137.32/17.66 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 137.32/17.68
% 137.32/17.68 fork 0: search finished without proof.
% 137.32/17.68
% 137.32/17.68 fork 3: search finished without proof.
% 137.32/17.70
% 137.32/17.70 **** run 172 fork 3 starts with strategy
% 137.32/17.70 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 137.32/17.70
% 137.32/17.70 **** run 161 fork 0 starts with strategy
% 137.32/17.70 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 137.83/17.72
% 137.83/17.72 fork 0: search finished without proof.
% 137.83/17.74
% 137.83/17.74 **** run 169 fork 0 starts with strategy
% 137.83/17.74 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 147.54/18.94
% 147.54/18.94
% 147.54/18.94 fork 1: search terminated without proof.
% 147.54/18.96
% 147.54/18.96 **** run 154 fork 1 starts with strategy
% 147.54/18.96 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 147.54/18.98
% 147.54/18.98 fork 1: search finished without proof.
% 147.54/18.98
% 147.54/18.98
% 147.54/18.98 fork 5: search terminated without proof.
% 147.98/18.99
% 147.98/18.99 **** run 162 fork 1 starts with strategy
% 147.98/18.99 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 147.98/19.00
% 147.98/19.00 **** run 150 fork 5 starts with strategy
% 147.98/19.00 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 147.98/19.01
% 147.98/19.01 fork 1: search finished without proof.
% 147.98/19.03
% 147.98/19.03 **** run 170 fork 1 starts with strategy
% 147.98/19.03 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 160.17/20.61
% 160.17/20.61
% 160.17/20.61 fork 4: search terminated without proof.
% 161.00/20.63
% 161.00/20.63 **** run 157 fork 4 starts with strategy
% 161.00/20.63 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 161.00/20.65
% 161.00/20.65 fork 4: search finished without proof.
% 161.00/20.66
% 161.00/20.66 **** run 165 fork 4 starts with strategy
% 161.00/20.66 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 161.00/20.68
% 161.00/20.68 fork 4: search finished without proof.
% 161.00/20.69
% 161.00/20.69 **** run 173 fork 4 starts with strategy
% 161.00/20.69 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 171.45/21.98
% 171.45/21.98
% 171.45/21.98 fork 7: search terminated without proof.
% 172.03/22.00
% 172.03/22.00 **** run 184 fork 7 starts with strategy
% 172.03/22.00 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":15}
% 172.03/22.02
% 172.03/22.02 fork 7: search finished without proof.
% 172.03/22.03
% 172.03/22.03 **** run 192 fork 7 starts with strategy
% 172.03/22.03 {"max_dseconds":50,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 172.03/22.06
% 172.03/22.06 fork 7: search finished without proof.
% 172.59/22.07
% 172.59/22.07 **** run 200 fork 7 starts with strategy
% 172.59/22.07 {"max_dseconds":250,"strategy":["unit"],"query_preference":0}
% 175.87/22.57
% 175.87/22.57
% 175.87/22.57 fork 2: search terminated without proof.
% 176.68/22.58
% 176.68/22.58 **** run 179 fork 2 starts with strategy
% 176.68/22.58 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 176.88/22.61
% 176.88/22.61 fork 2: search finished without proof.
% 176.88/22.62
% 176.88/22.62 **** run 187 fork 2 starts with strategy
% 176.88/22.62 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":30}
% 177.04/22.64
% 177.04/22.64 fork 2: search finished without proof.
% 177.04/22.66
% 177.04/22.66 **** run 195 fork 2 starts with strategy
% 177.04/22.66 {"max_dseconds":50,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
% 178.35/22.85
% 178.35/22.85
% 178.35/22.85 fork 0: search terminated without proof.
% 179.09/22.88
% 179.09/22.88 **** run 177 fork 0 starts with strategy
% 179.09/22.88 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 181.67/23.27
% 181.67/23.27
% 181.67/23.27 fork 3: search terminated without proof.
% 181.67/23.30
% 181.67/23.30 **** run 180 fork 3 starts with strategy
% 181.67/23.30 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 182.41/23.32
% 182.41/23.32 fork 3: search finished without proof.
% 182.41/23.33
% 182.41/23.33 **** run 188 fork 3 starts with strategy
% 182.41/23.33 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":40}
% 187.83/24.02
% 187.83/24.02
% 187.83/24.02 fork 5: search terminated without proof.
% 187.83/24.04
% 187.83/24.04 **** run 158 fork 5 starts with strategy
% 187.83/24.04 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 187.83/24.07
% 187.83/24.07 fork 5: search finished without proof.
% 187.83/24.08
% 187.83/24.08 **** run 166 fork 5 starts with strategy
% 187.83/24.08 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 188.62/24.10
% 188.62/24.10 fork 5: search finished without proof.
% 188.62/24.12
% 188.62/24.12 **** run 174 fork 5 starts with strategy
% 188.62/24.12 {"max_dseconds":50,"strategy":["query_focus"],"query_preference":0}
% 188.62/24.12
% 188.62/24.12
% 188.62/24.12 fork 1: search terminated without proof.
% 188.62/24.16
% 188.62/24.16 **** run 178 fork 1 starts with strategy
% 188.62/24.16 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_depth":2}
% 188.62/24.19
% 188.62/24.19 fork 1: search finished without proof.
% 189.42/24.20
% 189.42/24.20 **** run 186 fork 1 starts with strategy
% 189.42/24.20 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 189.42/24.22
% 189.42/24.22 fork 1: search finished without proof.
% 189.42/24.24
% 189.42/24.24 **** run 194 fork 1 starts with strategy
% 189.42/24.24 {"max_dseconds":50,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0}
% 198.42/25.39
% 198.42/25.39
% 198.42/25.39 result: proof found
% 198.42/25.39 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.42/25.39 by run 188 fork 3 strategy {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":40}
% 198.42/25.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 198.42/25.39
% 198.42/25.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 198.42/25.39
% 198.42/25.39 run 188 fork 3 statistics:
% 198.42/25.39 ----------------------------------
% 198.42/25.39 this run seconds: 1.586143
% 198.42/25.39 total seconds: 24.433090
% 198.42/25.39 stat_given_used: 307
% 198.42/25.39 stat_given_used_at_endgame: 0
% 198.42/25.39 stat_given_candidates: 2849
% 198.42/25.39 stat_given_candidates_at_endgame: 0
% 198.42/25.39 stat_given_candidates_h: 0
% 198.42/25.39 stat_binres_derived_cl: 0
% 198.42/25.39 stat_binres_derived_cl_h: 0
% 198.42/25.39 stat_factor_derived_cl: 0
% 198.42/25.39 stat_para_derived_cl: 250416
% 198.42/25.39 stat_tautologies_discarded: 0
% 198.42/25.39 stat_forward_subsumed: 37294
% 198.42/25.39 stat_derived_cut: 0
% 198.42/25.39 stat_derived_rewritten: 107
% 198.42/25.39 stat_weight_discarded_building: 0
% 198.42/25.39 stat_weight_discarded_cl: 100612
% 198.42/25.39 stat_internlimit_discarded_cl: 0
% 198.42/25.39 stat_simplified: 107 simplified 0 derived 0 given
% 198.42/25.39 stat_kept_cl: 110119
% 198.42/25.39 stat_built_cl: 211452
% 198.42/25.39 stat_hyperres_partial_cl: 0
% 198.42/25.39 stat_made_rewriters: 269
% 198.42/25.39 stat_backward_subsumed: 0
% 198.42/25.39 stat_propagated_subsumed: 0
% 198.42/25.39 stat_clsubs_attempted: 2971
% 198.42/25.39 stat_clsubs_fact_groundunit_found: 0
% 198.42/25.39 stat_clsubs_rule_groundunit_found: 1
% 198.42/25.39 stat_clsubs_top_meta_attempted: 55018
% 198.42/25.39 stat_clsubs_top_meta_failed: 52047
% 198.42/25.39 stat_clsubs_top_meta_nonpref_attempted: 55018
% 198.42/25.39 stat_clsubs_top_meta_nonpref_succeeded: 6003
% 198.42/25.39 stat_clsubs_top_meta_pref_attempted: 6003
% 198.42/25.39 stat_clsubs_top_meta_pref1_succeeded: 6003
% 198.42/25.39 stat_clsubs_top_meta_pref2_succeeded: 4118
% 198.42/25.39 stat_clsubs_top_meta_pref3_succeeded: 2971
% 198.42/25.39 stat_clsubs_top_meta_pref_succeeded: 2971
% 198.42/25.39 stat_clsubs_meta_attempted: 2971
% 198.42/25.39 stat_clsubs_meta_failed: 230
% 198.42/25.39 stat_clsubs_predsymbs_attempted: 0
% 198.42/25.39 stat_clsubs_unit_attempted: 2971
% 198.42/25.39 stat_clsubs_full_attempted: 0
% 198.42/25.39 stat_forwardsubs_attempted: 248025
% 198.42/25.39 stat_lit_hash_added: 110122
% 198.42/25.39 stat_lit_hash_computed: 358520
% 198.42/25.39 stat_lit_hash_match_found: 37321
% 198.42/25.39 stat_lit_hash_match_miss: 421915
% 198.42/25.39 stat_lit_hash_cut_ok: 0
% 198.42/25.39 stat_lit_strong_cut_ok: 0
% 198.42/25.39 stat_lit_hash_subsume_ok: 37294
% 198.42/25.39 clqueue els 10000000 used 1
% 198.42/25.39 clactive els 10000000 used 308
% 198.42/25.39 clactivesubsume els 10000000 used 1837
% 198.42/25.39 queue_termbuf els 200000000 used 15296233
% 198.42/25.39 hyper_termbuf els 100000000 used 1
% 198.42/25.39 active_termbuf els 100000000 used 27194
% 198.42/25.39 varstack els 5000 last used 1
% 198.42/25.39 given_termbuf els 10000000 last used 1
% 198.42/25.39 simplified_termbuf els 10000000 last used 1
% 198.42/25.39 derived_termbuf els 10000000 last used 50
% 198.42/25.39 wr_mallocs: 93492
% 198.42/25.39 wr_callocs: 19
% 198.42/25.39 wr_reallocs: 18134
% 198.42/25.39 wr_frees: 2
% 198.42/25.39 wr_malloc_bytes: 4166986196
% 198.42/25.39 wr_calloc_bytes: 96065504
% 198.42/25.39 wr_realloc_bytes: 3796736
% 198.42/25.39 wr_realloc_freebytes: 0
% 198.42/25.39 ----------------------------------
%------------------------------------------------------------------------------