TSTP Solution File: GRP588-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP588-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 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 : Wed May 31 12:12:08 EDT 2023
% Result : Unsatisfiable 0.18s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 97 (; 97 !; 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/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/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(a,b) != multiply(b,a),
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(f35,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f47,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(X1,X2)),multiply(X2,X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f35]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f35,f5]) ).
fof(f58,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
inference(paramodulation,[status(thm)],[f53,f35]) ).
fof(f64,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(multiply(inverse(double_divide(X1,X0)),X2))) = X2,
inference(paramodulation,[status(thm)],[f5,f58]) ).
fof(f65,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(multiply(multiply(X0,X1),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f64]) ).
fof(f66,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(inverse(X1))) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f53,f58]) ).
fof(f145,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(multiply(X1,X2))) = multiply(inverse(double_divide(X2,X1)),X0),
inference(paramodulation,[status(thm)],[f5,f66]) ).
fof(f146,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(multiply(X1,X2))) = multiply(multiply(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f5,f145]) ).
fof(f156,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f146,f58]) ).
fof(f169,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X1),X0),inverse(multiply(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f156,f65]) ).
fof(f170,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(forward_demodulation,[status(thm)],[f156,f169]) ).
fof(f191,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f170,f5]) ).
fof(f266,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(X2))) = multiply(double_divide(X0,X1),X2),
inference(paramodulation,[status(thm)],[f191,f8]) ).
fof(f269,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f191,f156]) ).
fof(f271,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f191,f35]) ).
fof(f389,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(X2)) = multiply(X2,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f271]) ).
fof(f398,plain,
! [X0,X1] : multiply(X0,double_divide(X0,inverse(X1))) = X1,
inference(backward_demodulation,[status(thm)],[f389,f35]) ).
fof(f407,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(paramodulation,[status(thm)],[f398,f47]) ).
fof(f408,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f266,f407]) ).
fof(f415,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f271,f408]) ).
fof(f419,plain,
! [X0,X1] : multiply(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f408,f269]) ).
fof(f423,plain,
! [X0,X1] : X0 = double_divide(multiply(inverse(X1),X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f398,f415]) ).
fof(f424,plain,
! [X0,X1] : X0 = multiply(X0,double_divide(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f389,f423]) ).
fof(f528,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(X1,inverse(X1))),double_divide(X2,inverse(X2))) = X0,
inference(paramodulation,[status(thm)],[f419,f47]) ).
fof(f529,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f424,f528]) ).
fof(f540,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),double_divide(X2,inverse(X2))) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f529]) ).
fof(f549,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(double_divide(X2,inverse(X2)),inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f529,f47]) ).
fof(f550,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(inverse(X0),X1),double_divide(X2,inverse(X2))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f266,f549]) ).
fof(f551,plain,
! [X0,X1] : multiply(double_divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f540,f550]) ).
fof(f557,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f170,f551]) ).
fof(f558,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP588-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:42:12 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.18/0.38 % Refutation found
% 0.18/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.33/0.61 % Elapsed time: 0.064359 seconds
% 0.33/0.61 % CPU time: 0.125776 seconds
% 0.33/0.61 % Memory used: 3.405 MB
%------------------------------------------------------------------------------