%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP578-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:50 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP578-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:12:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.41 fof(f1,axiom,(
% 0.10/0.41 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f2,axiom,(
% 0.10/0.41 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f3,axiom,(
% 0.10/0.41 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f4,axiom,(
% 0.10/0.41 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f5,negated_conjecture,(
% 0.10/0.41 multiply(identity,a2) != a2 ),
% 0.10/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.41 fof(f6,plain,(
% 0.10/0.41 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity))=X2)),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.42 fof(f7,plain,(
% 0.10/0.42 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.42 fof(f8,plain,(
% 0.10/0.42 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.42 fof(f9,plain,(
% 0.10/0.42 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.42 fof(f10,plain,(
% 0.10/0.42 ~multiply(identity,a2)=a2),
% 0.10/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.42 fof(f13,plain,(
% 0.10/0.42 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),inverse(identity))=X2)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.10/0.42 fof(f14,plain,(
% 0.10/0.42 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.42 fof(f15,plain,(
% 0.10/0.42 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity))=X2)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.10/0.42 fof(f16,plain,(
% 0.10/0.42 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(identity))=double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),X1),inverse(X2)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.10/0.42 fof(f91,plain,(
% 0.10/0.42 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.10/0.42 fof(f98,plain,(
% 0.10/0.42 ~inverse(inverse(a2))=a2),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f91,f10])).
% 0.10/0.42 fof(f104,plain,(
% 0.10/0.42 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=inverse(double_divide(X1,X0)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.10/0.42 fof(f109,plain,(
% 0.10/0.42 ![X0,X1]: (double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),inverse(identity))=X1)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.10/0.42 fof(f115,plain,(
% 0.10/0.42 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=multiply(X0,X1))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f14,f104])).
% 0.10/0.42 fof(f368,plain,(
% 0.10/0.42 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=multiply(double_divide(identity,double_divide(identity,X0)),X1))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f16,f115])).
% 0.10/0.42 fof(f369,plain,(
% 0.10/0.42 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=multiply(X0,identity))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f9,f115])).
% 0.10/0.42 fof(f392,plain,(
% 0.10/0.42 ![X0,X1]: (multiply(X0,X1)=multiply(double_divide(identity,double_divide(identity,X0)),X1))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f115,f368])).
% 0.10/0.42 fof(f396,plain,(
% 0.10/0.42 ![X0]: (double_divide(inverse(X0),inverse(identity))=multiply(X0,identity))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f8,f369])).
% 0.10/0.42 fof(f416,plain,(
% 0.10/0.42 ![X0]: (double_divide(double_divide(inverse(double_divide(identity,X0)),identity),inverse(identity))=X0)),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f9,f109])).
% 0.10/0.42 fof(f443,plain,(
% 0.10/0.42 ![X0]: (double_divide(inverse(inverse(double_divide(identity,X0))),inverse(identity))=X0)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f8,f416])).
% 0.10/0.42 fof(f444,plain,(
% 0.10/0.42 ![X0]: (multiply(inverse(double_divide(identity,X0)),identity)=X0)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f396,f443])).
% 0.10/0.42 fof(f445,plain,(
% 0.10/0.42 ![X0]: (multiply(multiply(X0,identity),identity)=X0)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f14,f444])).
% 0.10/0.42 fof(f786,plain,(
% 0.10/0.42 ![X0]: (multiply(multiply(X0,identity),identity)=double_divide(identity,double_divide(identity,X0)))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f392,f445])).
% 0.10/0.42 fof(f797,plain,(
% 0.10/0.42 ![X0]: (X0=double_divide(identity,double_divide(identity,X0)))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f445,f786])).
% 0.10/0.42 fof(f812,plain,(
% 0.10/0.42 ![X0]: (double_divide(inverse(X0),inverse(identity))=multiply(identity,X0))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f797,f115])).
% 0.10/0.42 fof(f823,plain,(
% 0.10/0.42 ![X0]: (multiply(double_divide(identity,X0),identity)=inverse(X0))),
% 0.10/0.42 inference(paramodulation,[status(thm)],[f797,f14])).
% 0.10/0.42 fof(f838,plain,(
% 0.10/0.42 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f839,f396])).
% 0.10/0.42 fof(f839,plain,(
% 0.10/0.42 ![X0]: (double_divide(inverse(X0),inverse(identity))=inverse(inverse(X0)))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f91,f812])).
% 0.10/0.42 fof(f849,plain,(
% 0.10/0.42 ![X0]: (inverse(inverse(multiply(X0,identity)))=X0)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f838,f445])).
% 0.10/0.42 fof(f854,plain,(
% 0.10/0.42 ![X0]: (inverse(inverse(double_divide(identity,X0)))=inverse(X0))),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f838,f823])).
% 0.10/0.42 fof(f875,plain,(
% 0.10/0.42 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f838,f849])).
% 0.10/0.42 fof(f876,plain,(
% 0.10/0.42 ![X0]: (inverse(multiply(X0,identity))=inverse(X0))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f14,f854])).
% 0.10/0.42 fof(f877,plain,(
% 0.10/0.42 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f885,f875])).
% 0.10/0.42 fof(f885,plain,(
% 0.10/0.42 ![X0]: (inverse(inverse(inverse(X0)))=inverse(X0))),
% 0.10/0.42 inference(forward_demodulation,[status(thm)],[f838,f876])).
% 0.10/0.42 fof(f948,plain,(
% 0.10/0.42 ~a2=a2),
% 0.10/0.42 inference(backward_demodulation,[status(thm)],[f877,f98])).
% 0.10/0.42 fof(f1382,plain,(
% 0.10/0.42 $false),
% 0.10/0.42 inference(trivial_equality_resolution,[status(thm)],[f948])).
% 0.10/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.073303 seconds
% 0.10/0.44 % CPU time: 0.416914 seconds
% 0.10/0.44 % Total memory used: 23.250 MB
% 0.10/0.44 % Net memory used: 23.036 MB
%------------------------------------------------------------------------------