TSTP Solution File: GRP404-1 by GKC---0.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n021.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 00:54:02 EDT 2023
% Result : Unsatisfiable 230.29s 29.70s
% Output : CNFRefutation 230.29s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named single_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),inverse(multiply(Y,multiply(inverse(Y),Y)))))) = Z,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('2',plain,
multiply(X,inverse(multiply(inverse(Y),inverse(multiply(Z,multiply(inverse(Z),Z)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Z)),U)),Y)),inverse(multiply(U,multiply(inverse(U),U))))),
inference(paramodulation,[],['1','1']) ).
cnf('3',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),inverse(multiply(Y,multiply(inverse(Y),Y))))))) = Z,
inference(paramodulation,[],['2','1']) ).
cnf('4',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(X,Y)),U))),inverse(multiply(Z,multiply(inverse(Z),Z))))) = U,
inference(paramodulation,[],['2','1']) ).
cnf('5',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),Y3)),multiply(inverse(multiply(inverse(multiply(Z3,U3)),multiply(Z3,inverse(multiply(inverse(X3),inverse(multiply(U3,multiply(inverse(U3),U3)))))))),V3))),inverse(multiply(Y3,multiply(inverse(Y3),Y3))))) = V3,
inference(paramodulation,[],['3','4']) ).
cnf('6',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(X),Z))),inverse(multiply(Y,multiply(inverse(Y),Y))))) = Z,
inference(simplify,[],['5','3']) ).
cnf('7',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),Y3)),multiply(inverse(X3),Z3))),inverse(multiply(Y3,multiply(inverse(Y3),Y3))))),U3)),multiply(Z3,V3))),inverse(multiply(U3,multiply(inverse(U3),U3))))) = V3,
inference(paramodulation,[],['6','6']) ).
cnf('8',plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,multiply(inverse(Y),Y))))) = Z,
inference(simplify,[],['7','6']) ).
cnf('9',plain,
multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(multiply(U,Y)),multiply(U,Z)),
inference(paramodulation,[],['8','3']) ).
cnf('10',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(Z,inverse(multiply(Y,multiply(inverse(Y),Y))))))) = multiply(inverse(multiply(inverse(multiply(inverse(U),V)),multiply(inverse(U),Z))),inverse(multiply(V,multiply(inverse(V),V)))),
inference(paramodulation,[],['6','3']) ).
cnf('11',plain,
multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,inverse(multiply(inverse(U),inverse(multiply(multiply(Y,Z),multiply(inverse(multiply(V,Z)),multiply(V,Z)))))))) = U,
inference(paramodulation,[],['9','3']) ).
cnf('12',plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),inverse(multiply(inverse(V),inverse(multiply(multiply(U,Z),multiply(inverse(multiply(W,Z)),multiply(W,Z)))))))) = V,
inference(paramodulation,[],['9','11']) ).
cnf('13',plain,
multiply(inverse(multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(X),inverse(Z)))),inverse(multiply(Y,multiply(inverse(Y),Y)))) = Z,
inference(paramodulation,[],['10','12']) ).
cnf('14',plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(Y,multiply(inverse(Y),Y)))) = Z,
inference(paramodulation,[],['9','13']) ).
cnf('15',plain,
multiply(inverse(multiply(X,Y)),multiply(X,multiply(Z,inverse(multiply(inverse(U),inverse(multiply(V,multiply(inverse(V),V)))))))) = multiply(inverse(multiply(inverse(multiply(Z,V)),Y)),U),
inference(paramodulation,[],['2','3']) ).
cnf('16',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Z,U)),V)),W)),inverse(multiply(V,multiply(inverse(V),V))))))) = multiply(inverse(multiply(inverse(multiply(Z,U)),Y)),W),
inference(paramodulation,[],['2','15']) ).
cnf('17',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(Z,inverse(multiply(multiply(U,Z),multiply(inverse(multiply(U,Z)),multiply(U,Z)))))))) = multiply(inverse(multiply(inverse(multiply(U,V)),Y)),inverse(multiply(V,multiply(inverse(V),V)))),
inference(paramodulation,[],['8','16']) ).
cnf('18',plain,
multiply(inverse(multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,inverse(U)))),inverse(multiply(multiply(Y,Z),multiply(inverse(multiply(V,Z)),multiply(V,Z))))) = U,
inference(paramodulation,[],['9','14']) ).
cnf('19',plain,
multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),multiply(X,inverse(multiply(U,inverse(multiply(multiply(Y,U),multiply(inverse(multiply(Y,U)),multiply(Y,U)))))))) = Z,
inference(paramodulation,[],['17','18']) ).
cnf('20',plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Y,Z)),U)),V)),inverse(multiply(U,multiply(inverse(U),U)))))) = multiply(X,multiply(Y,inverse(multiply(inverse(V),inverse(multiply(Z,multiply(inverse(Z),Z))))))),
inference(paramodulation,[],['15','1']) ).
cnf('21',plain,
multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(U)))),V)),U)),inverse(multiply(V,multiply(inverse(V),V)))))) = Z,
inference(paramodulation,[],['19','20']) ).
cnf('22',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),U)),inverse(multiply(Z,multiply(inverse(Z),Z))))) = multiply(X,inverse(multiply(inverse(U),inverse(multiply(Y,multiply(inverse(Y),Y)))))),
inference(paramodulation,[],['3','4']) ).
cnf('23',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),U)),V)),multiply(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(W)))),U)),W))),inverse(multiply(V,multiply(inverse(V),V))))) = Z,
inference(paramodulation,[],['21','22']) ).
cnf('24',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),Y3)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(Z3,U3)),multiply(Z3,inverse(V3)))),inverse(multiply(U3,multiply(inverse(U3),U3))))),V3))),inverse(multiply(Y3,multiply(inverse(Y3),Y3))))) = X3,
inference(paramodulation,[],['14','23']) ).
cnf('25',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(Z),Z))),inverse(multiply(Y,multiply(inverse(Y),Y))))) = X,
inference(simplify,[],['24','14']) ).
cnf('26',plain,
multiply(inverse(multiply(X,Y)),inverse(multiply(Z,inverse(multiply(multiply(X,Z),multiply(inverse(multiply(X,Z)),multiply(X,Z))))))) = inverse(multiply(Y,multiply(inverse(Y),Y))),
inference(paramodulation,[],['8','1']) ).
cnf('27',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),multiply(inverse(multiply(U,Y)),inverse(multiply(V,inverse(multiply(multiply(U,V),multiply(inverse(multiply(U,V)),multiply(U,V))))))))))) = Z,
inference(paramodulation,[],['26','3']) ).
cnf('28',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(V)))),W)),V)),inverse(multiply(W,multiply(inverse(W),W))))))))) = Z,
inference(paramodulation,[],['22','27']) ).
cnf('29',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),multiply(inverse(multiply(U,Y)),multiply(U,inverse(multiply(inverse(V),V)))))))) = Z,
inference(paramodulation,[],['25','28']) ).
cnf('30',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),Z)),multiply(inverse(multiply(inverse(U),Y)),multiply(inverse(V),V)))),inverse(multiply(Z,multiply(inverse(Z),Z))))) = multiply(X,U),
inference(paramodulation,[],['25','22']) ).
cnf('31',plain,
multiply(X,Y) = multiply(X,inverse(multiply(inverse(multiply(inverse(Z),Z)),inverse(multiply(Y,multiply(inverse(Y),Y)))))),
inference(paramodulation,[],['25','22']) ).
cnf('32',plain,
multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(U)))),multiply(V,W))),U)),inverse(multiply(multiply(V,W),multiply(inverse(multiply(X2006,W)),multiply(X2006,W))))))) = Z,
inference(paramodulation,[],['9','21']) ).
cnf('33',plain,
multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),multiply(X,multiply(Y,inverse(multiply(inverse(U),U))))) = Z,
inference(paramodulation,[],['25','32']) ).
cnf('34',plain,
multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),multiply(X,multiply(Y,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(U),U)),inverse(multiply(V,multiply(inverse(V),V)))))),V))))) = Z,
inference(paramodulation,[],['31','33']) ).
cnf('35',plain,
multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),multiply(X,multiply(Y,inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(V),V)))))) = Z,
inference(paramodulation,[],['30','34']) ).
cnf('36',plain,
multiply(inverse(multiply(X3,multiply(Y3,Z3))),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Y3,U3)),V3)),W3)),inverse(multiply(V3,multiply(inverse(V3),V3))))))) = multiply(inverse(multiply(inverse(multiply(X3006,U3)),multiply(X3006,Z3))),W3),
inference(paramodulation,[],['9','16']) ).
cnf('37',plain,
multiply(inverse(multiply(X,Y)),Z) = multiply(inverse(multiply(U,Y)),multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(X,V)),Z)),inverse(multiply(V,multiply(inverse(V),V))))))),
inference(paramodulation,[],['1','9']) ).
cnf('38',plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),U) = multiply(inverse(multiply(inverse(multiply(V,Y)),multiply(V,Z))),U),
inference(simplify,[],['36','37']) ).
cnf('39',plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,Z))),U)),inverse(multiply(multiply(Y,Z),multiply(inverse(multiply(V,Z)),multiply(V,Z))))))) = U,
inference(paramodulation,[],['9','1']) ).
cnf('40',plain,
multiply(X,inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,inverse(multiply(U,inverse(multiply(multiply(X,U),multiply(inverse(multiply(X,U)),multiply(X,U)))))))))) = Z,
inference(paramodulation,[],['17','39']) ).
cnf('41',plain,
multiply(X,inverse(multiply(inverse(multiply(Y,Z)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Y,multiply(X,inverse(U)))),V)),U)),inverse(multiply(V,multiply(inverse(V),V)))))))) = Z,
inference(paramodulation,[],['22','40']) ).
cnf('42',plain,
multiply(X,inverse(multiply(inverse(multiply(Y,Z)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(Y,multiply(X,inverse(U)))),multiply(V,W))),U)),inverse(multiply(multiply(V,W),multiply(inverse(multiply(X2006,W)),multiply(X2006,W))))))))) = Z,
inference(paramodulation,[],['9','41']) ).
cnf('43',plain,
multiply(X,inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(X,inverse(multiply(inverse(U),U))))))) = Z,
inference(paramodulation,[],['25','42']) ).
cnf('44',plain,
multiply(X,inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(U,V)),multiply(U,W))),multiply(inverse(multiply(X2006,V)),multiply(X2006,W))))))))) = Z,
inference(paramodulation,[],['38','43']) ).
cnf('45',plain,
multiply(X,inverse(multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(X,inverse(multiply(inverse(multiply(inverse(U),U)),multiply(inverse(V),V)))))))) = Z,
inference(paramodulation,[],['35','44']) ).
cnf('46',plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(Y),Y)))),Z)),multiply(inverse(U),U)))) = Z,
inference(paramodulation,[],['29','45']) ).
cnf('47',plain,
inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),U)),multiply(inverse(multiply(inverse(multiply(V,Y)),multiply(V,Z))),W))),inverse(multiply(U,multiply(inverse(U),U))))) = W,
inference(paramodulation,[],['9','4']) ).
cnf('48',plain,
inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(Z,inverse(multiply(Y,multiply(inverse(Y),Y)))))))) = Z,
inference(paramodulation,[],['10','47']) ).
cnf('49',plain,
inverse(multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(Y,inverse(multiply(inverse(Z),Z)))),U)))),multiply(X,inverse(U)))) = Y,
inference(paramodulation,[],['46','48']) ).
cnf('50',plain,
inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),multiply(Y3,inverse(multiply(Z3,multiply(Y3,inverse(multiply(inverse(U3),U3)))))))) = Z3,
inference(paramodulation,[],['43','49']) ).
cnf('51',plain,
multiply(inverse(multiply(X,inverse(multiply(inverse(multiply(inverse(Y),inverse(multiply(inverse(Z),Z)))),U)))),multiply(X,inverse(U))) = Y,
inference(paramodulation,[],['46','3']) ).
cnf('52',plain,
multiply(inverse(multiply(X,Y)),multiply(X,inverse(multiply(inverse(Z),inverse(multiply(Y,inverse(multiply(inverse(U),U)))))))) = Z,
inference(paramodulation,[],['49','51']) ).
cnf('53',plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(V)))),W)),V)),inverse(multiply(W,multiply(inverse(W),W)))))) = Z,
inference(paramodulation,[],['9','21']) ).
cnf('54',plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),multiply(inverse(multiply(U,Y)),multiply(U,inverse(multiply(inverse(V),V))))) = Z,
inference(paramodulation,[],['25','53']) ).
cnf('55',plain,
multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,inverse(Z)))),inverse(multiply(Y,inverse(multiply(inverse(U),U))))) = Z,
inference(paramodulation,[],['52','54']) ).
cnf('56',plain,
multiply(X,inverse(multiply(inverse(multiply(inverse(multiply(inverse(Y),Y)),inverse(multiply(inverse(Z),Z)))),U))) = multiply(X,inverse(U)),
inference(paramodulation,[],['46','31']) ).
cnf('57',plain,
multiply(X,inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),Z))) = multiply(X,inverse(Z)),
inference(paramodulation,[],['55','56']) ).
cnf('58',plain,
multiply(inverse(multiply(X,multiply(Y,inverse(Z)))),multiply(X,multiply(Y,inverse(inverse(multiply(inverse(U),U)))))) = Z,
inference(paramodulation,[],['57','33']) ).
cnf('59',plain,
multiply(X3,Y3) = multiply(X3,inverse(multiply(inverse(inverse(multiply(inverse(Z3),Z3))),inverse(multiply(Y3,multiply(inverse(Y3),Y3)))))),
inference(paramodulation,[],['58','31']) ).
cnf('60',plain,
multiply(X,Y) = multiply(X,inverse(inverse(multiply(Y,multiply(inverse(Y),Y))))),
inference(simplify,[],['59','57']) ).
cnf('61',plain,
multiply(inverse(X),multiply(Y,Z)) = multiply(inverse(multiply(U,inverse(multiply(inverse(multiply(inverse(multiply(Y,V)),X)),inverse(multiply(V,multiply(inverse(V),V))))))),multiply(U,Z)),
inference(paramodulation,[],['1','9']) ).
cnf('62',plain,
multiply(inverse(inverse(multiply(inverse(X),X))),multiply(Y,inverse(inverse(multiply(Z,multiply(inverse(Z),Z)))))) = multiply(Y,Z),
inference(paramodulation,[],['51','61']) ).
cnf('63',plain,
multiply(inverse(inverse(multiply(inverse(X),X))),multiply(Y,Z)) = multiply(Y,Z),
inference(paramodulation,[],['60','62']) ).
cnf('64',plain,
inverse(multiply(X,inverse(multiply(Y,multiply(X,inverse(multiply(inverse(Z),Z))))))) = Y,
inference(simplify,[],['50','63']) ).
cnf('65',plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),inverse(multiply(inverse(Z),Z)))),X)),
inference(paramodulation,[],['46','64']) ).
cnf('66',plain,
multiply(inverse(inverse(multiply(inverse(X),X))),inverse(multiply(inverse(Y),multiply(inverse(Z),Z)))) = Y,
inference(paramodulation,[],['65','46']) ).
cnf('67',plain,
inverse(X) = inverse(multiply(inverse(multiply(inverse(Y),Y)),X)),
inference(paramodulation,[],['66','65']) ).
cnf('68',plain,
inverse(inverse(multiply(X,multiply(inverse(X),X)))) = X,
inference(paramodulation,[],['67','25']) ).
cnf('69',plain,
multiply(inverse(inverse(multiply(inverse(multiply(inverse(X),X)),multiply(inverse(Y),Y)))),multiply(Z,U)) = multiply(Z,U),
inference(paramodulation,[],['35','63']) ).
cnf('70',plain,
multiply(inverse(multiply(inverse(X),X)),multiply(Y,Z)) = multiply(Y,Z),
inference(paramodulation,[],['68','69']) ).
cnf('71',plain,
multiply(inverse(multiply(X,Y)),multiply(X,Z)) = multiply(inverse(Y),Z),
inference(paramodulation,[],['70','9']) ).
cnf('72',plain,
inverse(X) = inverse(multiply(inverse(inverse(multiply(inverse(Y),Y))),X)),
inference(paramodulation,[],['58','67']) ).
cnf('73',plain,
inverse(inverse(multiply(inverse(X),multiply(inverse(Y),Y)))) = inverse(X),
inference(paramodulation,[],['66','72']) ).
cnf('74',plain,
inverse(inverse(multiply(inverse(X),Y))) = inverse(multiply(inverse(Y),X)),
inference(paramodulation,[],['71','73']) ).
cnf('75',plain,
inverse(inverse(X)) = inverse(multiply(inverse(X),multiply(inverse(Y),Y))),
inference(paramodulation,[],['67','74']) ).
cnf('76',plain,
inverse(inverse(inverse(X))) = inverse(X),
inference(paramodulation,[],['75','73']) ).
cnf('77',plain,
inverse(X) = inverse(multiply(X,multiply(inverse(X),X))),
inference(paramodulation,[],['68','76']) ).
cnf('78',plain,
inverse(inverse(X)) = X,
inference(paramodulation,[],['77','68']) ).
cnf('79',plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,U))),inverse(multiply(multiply(Y,Z),multiply(inverse(multiply(V,Z)),multiply(V,Z)))))) = U,
inference(paramodulation,[],['9','8']) ).
cnf('80',plain,
inverse(multiply(inverse(multiply(X,multiply(Y,Z))),multiply(X,inverse(multiply(U,inverse(multiply(multiply(Y,U),multiply(inverse(multiply(Y,U)),multiply(Y,U))))))))) = Z,
inference(paramodulation,[],['17','79']) ).
cnf('81',plain,
inverse(multiply(inverse(multiply(X,multiply(Y,Z))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X,multiply(Y,inverse(U)))),V)),U)),inverse(multiply(V,multiply(inverse(V),V))))))) = Z,
inference(paramodulation,[],['22','80']) ).
cnf('82',plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(U,Y)),multiply(U,inverse(V)))),W)),V)),inverse(multiply(W,multiply(inverse(W),W))))))) = Z,
inference(paramodulation,[],['9','81']) ).
cnf('83',plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),multiply(inverse(multiply(U,Y)),multiply(U,inverse(multiply(inverse(V),V)))))) = Z,
inference(paramodulation,[],['25','82']) ).
cnf('84',plain,
inverse(multiply(inverse(multiply(inverse(multiply(X,Y)),multiply(X,Z))),inverse(multiply(Y,inverse(multiply(inverse(U),U)))))) = Z,
inference(paramodulation,[],['52','83']) ).
cnf('85',plain,
inverse(inverse(multiply(X,inverse(multiply(inverse(Y),Y))))) = X,
inference(paramodulation,[],['67','84']) ).
cnf('86',plain,
multiply(X,inverse(multiply(inverse(Y),Y))) = X,
inference(paramodulation,[],['78','85']) ).
cnf('87',plain,
inverse(multiply(X,inverse(multiply(Y,X)))) = Y,
inference(paramodulation,[],['86','64']) ).
cnf('88',plain,
inverse(multiply(inverse(multiply(X,Y)),X)) = Y,
inference(paramodulation,[],['87','87']) ).
cnf('89',plain,
inverse(inverse(multiply(multiply(inverse(X3),X3),Y3))) = Y3,
inference(paramodulation,[],['88','75']) ).
cnf('90',plain,
multiply(multiply(inverse(X),X),Y) = Y,
inference(simplify,[],['89','78']) ).
cnf('91',plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[prove_these_axioms_2]) ).
cnf('92',plain,
$false,
inference(resolution,[],['90','91']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n021.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 00:03:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.39
% 0.19/0.39 input clause set summed statistics:
% 0.19/0.39 ----------------------------------
% 0.19/0.39 in_clause_count: 2
% 0.19/0.39 in_rule_clause_count: 2
% 0.19/0.39 in_fact_clause_count: 0
% 0.19/0.39 in_answer_clause_count: 0
% 0.19/0.39 in_ground_clause_count: 1
% 0.19/0.39 in_unit_clause_count: 2
% 0.19/0.39 in_horn_clause_count: 2
% 0.19/0.39 in_pos_clause_count: 1
% 0.19/0.39 in_neg_clause_count: 1
% 0.19/0.39 in_poseq_clause_count: 1
% 0.19/0.39 in_negeq_clause_count: 1
% 0.19/0.39 in_unitposeq_clause_count: 1
% 0.19/0.39 in_chain_clause_count: 0
% 0.19/0.39 in_min_length: 1
% 0.19/0.39 in_max_length: 1
% 0.19/0.39 in_min_depth: 4
% 0.19/0.39 in_max_depth: 8
% 0.19/0.39 in_min_size: 8
% 0.19/0.39 in_max_size: 20
% 0.19/0.39 in_min_vars: 0
% 0.19/0.39 in_max_vars: 3
% 0.19/0.39 in_extaxiom_count: 0
% 0.19/0.39 in_axiom_count: 1
% 0.19/0.39 in_assumption_count: 0
% 0.19/0.39 in_goal_count: 1
% 0.19/0.39 in_neg_goal_count: 1
% 0.19/0.39 in_pos_goal_count: 0
% 0.19/0.39 in_posunit_goal_count: 0
% 0.19/0.39
% 0.19/0.39 auto guide:
% 0.19/0.39 -----------
% 0.19/0.39 {
% 0.19/0.39 "print":1,
% 0.19/0.39 "print_level": 15,
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% 0.19/0.39 "max_depth": 0,
% 0.19/0.39 "max_length": 0,
% 0.19/0.39 "max_dseconds": 0,
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% 131.16/17.10
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% 149.45/19.38
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% 150.03/19.42
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% 180.53/23.35
% 180.53/23.35 **** run 155 fork 2 starts with strategy
% 180.53/23.35 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 181.17/23.37
% 181.17/23.37 fork 2: search finished without proof.
% 181.17/23.39
% 181.17/23.39 **** run 163 fork 2 starts with strategy
% 181.17/23.39 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 181.17/23.41
% 181.17/23.41 fork 2: search finished without proof.
% 181.17/23.43
% 181.17/23.43 **** run 171 fork 2 starts with strategy
% 181.17/23.43 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
% 189.55/24.46
% 189.55/24.46
% 189.55/24.46 fork 3: search terminated without proof.
% 189.79/24.49
% 189.79/24.49 **** run 180 fork 3 starts with strategy
% 189.79/24.49 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 189.79/24.51
% 189.79/24.51 fork 3: search finished without proof.
% 190.29/24.53
% 190.29/24.53 **** run 188 fork 3 starts with strategy
% 190.29/24.53 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":40}
% 192.65/24.88
% 192.65/24.88
% 192.65/24.88 fork 4: search terminated without proof.
% 192.65/24.90
% 192.65/24.90 **** run 181 fork 4 starts with strategy
% 192.65/24.90 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_depth":8}
% 193.24/24.93
% 193.24/24.93 fork 4: search finished without proof.
% 193.24/24.94
% 193.24/24.94 **** run 189 fork 4 starts with strategy
% 193.24/24.94 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"var_weight":1}
% 196.18/25.29
% 196.18/25.29
% 196.18/25.29 fork 7: search terminated without proof.
% 196.18/25.31
% 196.18/25.31 **** run 184 fork 7 starts with strategy
% 196.18/25.31 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":15}
% 196.18/25.34
% 196.18/25.34 fork 7: search finished without proof.
% 196.18/25.35
% 196.18/25.35 **** run 192 fork 7 starts with strategy
% 196.18/25.35 {"max_dseconds":50,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 196.90/25.38
% 196.90/25.38 fork 7: search finished without proof.
% 197.10/25.39
% 197.10/25.39 **** run 200 fork 7 starts with strategy
% 197.10/25.39 {"max_dseconds":250,"strategy":["unit"],"query_preference":0}
% 204.65/26.36
% 204.65/26.36
% 204.65/26.36 fork 1: search terminated without proof.
% 204.65/26.39
% 204.65/26.39 **** run 154 fork 1 starts with strategy
% 204.65/26.39 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 204.65/26.41
% 204.65/26.41 fork 1: search finished without proof.
% 204.65/26.43
% 204.65/26.43 **** run 162 fork 1 starts with strategy
% 204.65/26.43 {"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}
% 205.27/26.45
% 205.27/26.45 fork 1: search finished without proof.
% 205.27/26.47
% 205.27/26.47 **** run 170 fork 1 starts with strategy
% 205.27/26.47 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 230.29/29.70
% 230.29/29.70
% 230.29/29.70 result: proof found
% 230.29/29.70 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.29/29.70 by run 188 fork 3 strategy {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"max_size":40}
% 230.29/29.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 230.29/29.70
% 230.29/29.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 230.29/29.70
% 230.29/29.70 run 188 fork 3 statistics:
% 230.29/29.70 ----------------------------------
% 230.29/29.70 this run seconds: 4.538910
% 230.29/29.70 total seconds: 28.534351
% 230.29/29.70 stat_given_used: 271
% 230.29/29.70 stat_given_used_at_endgame: 255
% 230.29/29.70 stat_given_candidates: 1174
% 230.29/29.70 stat_given_candidates_at_endgame: 1152
% 230.29/29.70 stat_given_candidates_h: 0
% 230.29/29.70 stat_binres_derived_cl: 1
% 230.29/29.70 stat_binres_derived_cl_h: 0
% 230.29/29.70 stat_factor_derived_cl: 0
% 230.29/29.70 stat_para_derived_cl: 377674
% 230.29/29.70 stat_tautologies_discarded: 0
% 230.29/29.70 stat_forward_subsumed: 16099
% 230.29/29.70 stat_derived_cut: 0
% 230.29/29.70 stat_derived_rewritten: 24
% 230.29/29.70 stat_weight_discarded_building: 0
% 230.29/29.70 stat_weight_discarded_cl: 348519
% 230.29/29.70 stat_internlimit_discarded_cl: 0
% 230.29/29.70 stat_simplified: 24 simplified 0 derived 0 given
% 230.29/29.70 stat_kept_cl: 11079
% 230.29/29.70 stat_built_cl: 360164
% 230.29/29.70 stat_hyperres_partial_cl: 0
% 230.29/29.70 stat_made_rewriters: 198
% 230.29/29.70 stat_backward_subsumed: 0
% 230.29/29.70 stat_propagated_subsumed: 0
% 230.29/29.70 stat_clsubs_attempted: 3516
% 230.29/29.70 stat_clsubs_fact_groundunit_found: 0
% 230.29/29.70 stat_clsubs_rule_groundunit_found: 1
% 230.29/29.70 stat_clsubs_top_meta_attempted: 34646
% 230.29/29.70 stat_clsubs_top_meta_failed: 31130
% 230.29/29.70 stat_clsubs_top_meta_nonpref_attempted: 34646
% 230.29/29.70 stat_clsubs_top_meta_nonpref_succeeded: 4849
% 230.29/29.70 stat_clsubs_top_meta_pref_attempted: 4849
% 230.29/29.70 stat_clsubs_top_meta_pref1_succeeded: 4849
% 230.29/29.70 stat_clsubs_top_meta_pref2_succeeded: 3556
% 230.29/29.70 stat_clsubs_top_meta_pref3_succeeded: 3516
% 230.29/29.70 stat_clsubs_top_meta_pref_succeeded: 3516
% 230.29/29.70 stat_clsubs_meta_attempted: 3516
% 230.29/29.70 stat_clsubs_meta_failed: 6
% 230.29/29.70 stat_clsubs_predsymbs_attempted: 0
% 230.29/29.70 stat_clsubs_unit_attempted: 3516
% 230.29/29.70 stat_clsubs_full_attempted: 0
% 230.29/29.70 stat_forwardsubs_attempted: 375697
% 230.29/29.70 stat_lit_hash_added: 11082
% 230.29/29.70 stat_lit_hash_computed: 387093
% 230.29/29.70 stat_lit_hash_match_found: 16103
% 230.29/29.70 stat_lit_hash_match_miss: 719530
% 230.29/29.70 stat_lit_hash_cut_ok: 0
% 230.29/29.70 stat_lit_strong_cut_ok: 0
% 230.29/29.70 stat_lit_hash_subsume_ok: 16099
% 230.29/29.70 clqueue els 10000000 used 1
% 230.29/29.70 clactive els 10000000 used 272
% 230.29/29.70 clactivesubsume els 10000000 used 1621
% 230.29/29.70 queue_termbuf els 200000000 used 1591472
% 230.29/29.70 hyper_termbuf els 100000000 used 1
% 230.29/29.70 active_termbuf els 100000000 used 31251
% 230.29/29.70 varstack els 5000 last used 1
% 230.29/29.70 given_termbuf els 10000000 last used 34
% 230.29/29.70 simplified_termbuf els 10000000 last used 1
% 230.29/29.70 derived_termbuf els 10000000 last used 3
% 230.29/29.70 wr_mallocs: 15713
% 230.29/29.70 wr_callocs: 19
% 230.29/29.70 wr_reallocs: 1062
% 230.29/29.70 wr_frees: 2
% 230.29/29.70 wr_malloc_bytes: 4163247044
% 230.29/29.70 wr_calloc_bytes: 96065504
% 230.29/29.70 wr_realloc_bytes: 293056
% 230.29/29.70 wr_realloc_freebytes: 0
% 230.29/29.70 ----------------------------------
%------------------------------------------------------------------------------