TSTP Solution File: GRP586-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:12:08 EDT 2023
% Result : Unsatisfiable 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 46 (; 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = 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(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = 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(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(X0,inverse(double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2) = inverse(X1),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f24,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f40,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f24,f5]) ).
fof(f45,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
inference(paramodulation,[status(thm)],[f40,f24]) ).
fof(f51,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(inverse(X1))) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f40,f45]) ).
fof(f74,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(multiply(X1,X2))) = multiply(inverse(double_divide(X2,X1)),X0),
inference(paramodulation,[status(thm)],[f5,f51]) ).
fof(f75,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(multiply(X1,X2))) = multiply(multiply(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f5,f74]) ).
fof(f81,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f75,f45]) ).
fof(f101,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),double_divide(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f11,f81]) ).
fof(f123,plain,
! [X0,X1] : multiply(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f101,f81]) ).
fof(f154,plain,
! [X0] : multiply(double_divide(X0,inverse(X0)),a2) != a2,
inference(paramodulation,[status(thm)],[f123,f6]) ).
fof(f162,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f123,f81]) ).
fof(f188,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f162,f154]) ).
fof(f189,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n018.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 : Tue May 30 11:38:55 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 0.11/0.35 % Refutation found
% 0.11/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.57 % Elapsed time: 0.016394 seconds
% 0.18/0.57 % CPU time: 0.024999 seconds
% 0.18/0.57 % Memory used: 561.059 KB
%------------------------------------------------------------------------------