TSTP Solution File: GRP499-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP499-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Wed May 31 12:11:52 EDT 2023
% Result : Unsatisfiable 10.62s 1.81s
% Output : CNFRefutation 11.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 3
% Syntax : Number of formulae : 68 ( 68 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 259 (; 259 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),inverse(double_divide(X0,double_divide(X2,X3))))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),double_divide(X1,X0)))) = X4,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X3),X2)),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),inverse(X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),double_divide(X3,X4))),multiply(X4,X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f66,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X0)),X3)),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(double_divide(X1,X0)),X3)),multiply(X4,X2)))) = X4,
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(inverse(X2),multiply(double_divide(X3,double_divide(multiply(X0,X1),X3)),multiply(X4,X2)))) = X4,
inference(forward_demodulation,[status(thm)],[f5,f104]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(multiply(X3,X4),X0)),double_divide(X4,X3))),
inference(paramodulation,[status(thm)],[f5,f66]) ).
fof(f259,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,double_divide(multiply(X5,X6),X0)),double_divide(X6,X5))),X2)),multiply(X7,X1)))) = X7,
inference(paramodulation,[status(thm)],[f123,f105]) ).
fof(f260,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X0,X2)),multiply(X3,X1)))) = X3,
inference(forward_demodulation,[status(thm)],[f123,f259]) ).
fof(f337,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X0)),multiply(X2,X3)) = multiply(double_divide(X4,double_divide(X1,X4)),multiply(X2,X3)),
inference(paramodulation,[status(thm)],[f260,f66]) ).
fof(f359,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(X3,X0))),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f260,f5]) ).
fof(f543,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(double_divide(X0,double_divide(X1,X0)),X2) = multiply(double_divide(X3,double_divide(X1,X3)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(multiply(X6,X7),X2)),double_divide(X7,X6)))),
inference(paramodulation,[status(thm)],[f123,f337]) ).
fof(f544,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X0)),X2) = multiply(double_divide(X3,double_divide(X1,X3)),X2),
inference(forward_demodulation,[status(thm)],[f123,f543]) ).
fof(f611,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(inverse(multiply(X0,X1)),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X0,X1)))),X3) = inverse(double_divide(X6,double_divide(X5,X6))),
inference(paramodulation,[status(thm)],[f337,f359]) ).
fof(f612,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(X1,X0))) = inverse(double_divide(X2,double_divide(X1,X2))),
inference(forward_demodulation,[status(thm)],[f359,f611]) ).
fof(f613,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = inverse(double_divide(X2,double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f5,f612]) ).
fof(f614,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f5,f613]) ).
fof(f616,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(X0,double_divide(inverse(multiply(X1,X2)),multiply(double_divide(X3,double_divide(X0,X3)),multiply(double_divide(X4,double_divide(X5,X4)),multiply(X1,X2))))) = double_divide(X6,double_divide(X5,X6)),
inference(paramodulation,[status(thm)],[f337,f260]) ).
fof(f617,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X0)) = double_divide(X2,double_divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f260,f616]) ).
fof(f790,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4)) = inverse(double_divide(X4,X3)),
inference(paramodulation,[status(thm)],[f614,f15]) ).
fof(f791,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4)) = multiply(X3,X4),
inference(forward_demodulation,[status(thm)],[f5,f790]) ).
fof(f875,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X0,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X2)),X3)),
inference(paramodulation,[status(thm)],[f617,f66]) ).
fof(f893,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X2,double_divide(X3,X2)),double_divide(X3,X0)),
inference(paramodulation,[status(thm)],[f617,f614]) ).
fof(f2387,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X0,X1)),inverse(multiply(double_divide(X2,double_divide(inverse(X3),X2)),X3))),
inference(paramodulation,[status(thm)],[f875,f875]) ).
fof(f3383,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = multiply(double_divide(X4,double_divide(X3,X4)),inverse(multiply(double_divide(X5,double_divide(inverse(X6),X5)),X6))),
inference(paramodulation,[status(thm)],[f2387,f791]) ).
fof(f3384,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = X3,
inference(forward_demodulation,[status(thm)],[f2387,f3383]) ).
fof(f3450,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X2,X0))),X3) = X3,
inference(paramodulation,[status(thm)],[f11,f3384]) ).
fof(f3785,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(inverse(X0),X1)))),X2) = X2,
inference(paramodulation,[status(thm)],[f875,f3450]) ).
fof(f3786,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),multiply(double_divide(inverse(X0),X1),X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f5,f3785]) ).
fof(f3904,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(inverse(double_divide(X1,X0)),X2),X2)),X3) = X3,
inference(paramodulation,[status(thm)],[f5,f3786]) ).
fof(f3905,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),multiply(double_divide(multiply(X0,X1),X2),X2)),X3) = X3,
inference(forward_demodulation,[status(thm)],[f5,f3904]) ).
fof(f3986,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,multiply(double_divide(multiply(double_divide(multiply(X1,X2),multiply(double_divide(multiply(X1,X2),X3),X3)),X0),X4),X4)),X5) = X5,
inference(paramodulation,[status(thm)],[f3905,f3905]) ).
fof(f3987,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f3905,f3986]) ).
fof(f4138,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(double_divide(X1,double_divide(X2,X1)),double_divide(X2,X0))),X3) = X3,
inference(paramodulation,[status(thm)],[f544,f3987]) ).
fof(f4190,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),X0)) = multiply(double_divide(X2,X3),X3),
inference(paramodulation,[status(thm)],[f3987,f8]) ).
fof(f5807,plain,
! [X0,X1,X2,X3] : double_divide(inverse(double_divide(X0,X1)),multiply(double_divide(X1,X2),X2)) = multiply(double_divide(X0,X3),X3),
inference(paramodulation,[status(thm)],[f893,f4190]) ).
fof(f5808,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(double_divide(X0,X2),X2)) = multiply(double_divide(X1,X3),X3),
inference(forward_demodulation,[status(thm)],[f5,f5807]) ).
fof(f6346,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(multiply(X1,X0),multiply(double_divide(X1,X2),X2))),X3) = X3,
inference(paramodulation,[status(thm)],[f5808,f4138]) ).
fof(f6414,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X1) = double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X0),
inference(paramodulation,[status(thm)],[f893,f6346]) ).
fof(f6422,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(multiply(X1,multiply(double_divide(X1,X2),X2)),X0)),X3) = X3,
inference(paramodulation,[status(thm)],[f544,f6346]) ).
fof(f6542,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(multiply(X0,multiply(double_divide(X0,X1),X1)),X2),X2),X3) = X3,
inference(paramodulation,[status(thm)],[f6346,f3384]) ).
fof(f7542,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X1)),multiply(X4,X0))),X4),X5) = X5,
inference(paramodulation,[status(thm)],[f260,f6422]) ).
fof(f7543,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(X0),multiply(X1,X0)),X1),X2) = X2,
inference(forward_demodulation,[status(thm)],[f6422,f7542]) ).
fof(f7737,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(X0),multiply(X1,X0)),X2),X2) = X1,
inference(paramodulation,[status(thm)],[f614,f7543]) ).
fof(f8509,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(multiply(X2,multiply(double_divide(X2,X3),X3)),X1)),X0)),X4) = X4,
inference(paramodulation,[status(thm)],[f4190,f6542]) ).
fof(f8510,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f6422,f8509]) ).
fof(f8514,plain,
! [X0,X1,X2] : multiply(multiply(multiply(double_divide(X0,X1),X1),X0),X2) = X2,
inference(paramodulation,[status(thm)],[f6414,f6542]) ).
fof(f8624,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(paramodulation,[status(thm)],[f614,f8510]) ).
fof(f8765,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f8624]) ).
fof(f8890,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(multiply(double_divide(X0,X1),X1),X0),multiply(X2,multiply(double_divide(X2,X3),X3))),X4) = X4,
inference(paramodulation,[status(thm)],[f6414,f8514]) ).
fof(f8891,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f8514,f8890]) ).
fof(f10484,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f8624,f8891]) ).
fof(f10586,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(inverse(X0),X0),X1),X1),X2) = X2,
inference(paramodulation,[status(thm)],[f10484,f8891]) ).
fof(f10587,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f8765,f10586]) ).
fof(f10634,plain,
! [X0,X1] : X0 = inverse(double_divide(inverse(X1),multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f7737,f10587]) ).
fof(f10635,plain,
! [X0,X1] : X0 = multiply(multiply(X0,X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f5,f10634]) ).
fof(f11271,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f10484,f10635]) ).
fof(f12403,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(X0,inverse(X0)),
inference(paramodulation,[status(thm)],[f11271,f6]) ).
fof(f12404,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f12403,f11271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP499-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n032.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:28:16 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 10.62/1.81 % Refutation found
% 10.62/1.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 10.62/1.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.33/1.88 % Elapsed time: 1.553265 seconds
% 11.33/1.88 % CPU time: 11.491435 seconds
% 11.33/1.88 % Memory used: 160.184 MB
%------------------------------------------------------------------------------