TSTP Solution File: BOO070-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO070-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Tue Apr 30 20:13:12 EDT 2024
% Result : Unsatisfiable 5.69s 1.08s
% Output : CNFRefutation 5.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D,E,F,G] : multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(a,a,b) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(a,a,b) != a,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f9,plain,
! [X0,X1,X2] : X0 = multiply(inverse(X1),multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),X1),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X2,inverse(X2),X3)),multiply(X2,inverse(X2),X4))),X4) = X1,
inference(paramodulation,[status(thm)],[f9,f3]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),multiply(X5,inverse(multiply(X4,inverse(X4),X6)),X6),multiply(X2,X3,inverse(X4)))),multiply(X3,X5,X2)) = X1,
inference(paramodulation,[status(thm)],[f9,f3]) ).
fof(f382,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0),X1),inverse(X2),multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X3,X5),multiply(inverse(X3),inverse(multiply(X5,inverse(X5),X6)),X6),multiply(X4,X3,inverse(X5)))),X2),X3)) = X1,
inference(paramodulation,[status(thm)],[f52,f3]) ).
fof(f413,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = X1,
inference(paramodulation,[status(thm)],[f52,f382]) ).
fof(f491,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = multiply(inverse(X5),X1,X5),
inference(paramodulation,[status(thm)],[f413,f413]) ).
fof(f492,plain,
! [X0,X1] : X0 = multiply(inverse(X1),X0,X1),
inference(forward_demodulation,[status(thm)],[f413,f491]) ).
fof(f574,plain,
! [X0,X1,X2] : X0 = multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),
inference(backward_demodulation,[status(thm)],[f492,f9]) ).
fof(f1025,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X1,inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f492,f574]) ).
fof(f1121,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),X3)),X3) = X1,
inference(backward_demodulation,[status(thm)],[f1025,f46]) ).
fof(f1122,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0),X1),inverse(X2),X2) = X1,
inference(forward_demodulation,[status(thm)],[f1025,f1121]) ).
fof(f1125,plain,
! [X0,X1] : X0 = multiply(X0,inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f1025,f574]) ).
fof(f1239,plain,
! [X0,X1] : multiply(X0,inverse(X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f1125,f1122]) ).
fof(f1248,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f1239,f3]) ).
fof(f1249,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f492,f1239]) ).
fof(f1282,plain,
! [X0,X1] : multiply(inverse(X0),X0,X1) = X1,
inference(paramodulation,[status(thm)],[f1249,f1239]) ).
fof(f1284,plain,
! [X0,X1] : X0 = multiply(X1,X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f1249,f492]) ).
fof(f1372,plain,
! [X0,X1,X2,X3] : multiply(X0,X1,X2) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0),
inference(backward_demodulation,[status(thm)],[f1248,f5]) ).
fof(f1382,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,X2,multiply(inverse(X3),X3,X4))),multiply(X3,multiply(X4,X2,X1),inverse(X3))) = X0,
inference(paramodulation,[status(thm)],[f1282,f1248]) ).
fof(f1383,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,X2,X3)),multiply(X4,multiply(X3,X2,X1),inverse(X4))) = X0,
inference(forward_demodulation,[status(thm)],[f1282,f1382]) ).
fof(f1384,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,X2,X3)),multiply(X3,X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1284,f1383]) ).
fof(f2035,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = inverse(inverse(multiply(X2,X1,X0))),
inference(paramodulation,[status(thm)],[f1282,f1384]) ).
fof(f2036,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = multiply(X2,X1,X0),
inference(forward_demodulation,[status(thm)],[f1249,f2035]) ).
fof(f2298,plain,
! [X0,X1,X2] : multiply(X0,X1,inverse(inverse(multiply(X0,X1,X2)))) = multiply(X1,X2,X0),
inference(paramodulation,[status(thm)],[f1282,f1372]) ).
fof(f2299,plain,
! [X0,X1,X2] : multiply(X0,X1,multiply(X0,X1,X2)) = multiply(X1,X2,X0),
inference(forward_demodulation,[status(thm)],[f1249,f2298]) ).
fof(f2706,plain,
! [X0,X1] : multiply(X0,X1,X1) = multiply(X1,inverse(X0),X0),
inference(paramodulation,[status(thm)],[f1284,f2299]) ).
fof(f2707,plain,
! [X0,X1] : multiply(X0,X1,X1) = X1,
inference(forward_demodulation,[status(thm)],[f1125,f2706]) ).
fof(f2806,plain,
! [X0,X1] : multiply(X0,X0,X1) = X0,
inference(paramodulation,[status(thm)],[f2036,f2707]) ).
fof(f2914,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f2806,f4]) ).
fof(f2915,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : BOO070-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 22:51:11 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 5.69/1.08 % Refutation found
% 5.69/1.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.69/1.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.69/1.13 % Elapsed time: 0.783060 seconds
% 5.69/1.13 % CPU time: 6.024979 seconds
% 5.69/1.13 % Total memory used: 173.426 MB
% 5.69/1.13 % Net memory used: 167.361 MB
%------------------------------------------------------------------------------