%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP494-1 : 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 : n007.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 12:36:43 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP494-1 : 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 : n007.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 20:12:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,axiom,(
% 0.10/0.39 (![A,B,C]: (double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = B ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,axiom,(
% 0.10/0.39 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,axiom,(
% 0.10/0.39 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,negated_conjecture,(
% 0.10/0.39 multiply(identity,a2) != a2 ),
% 0.10/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f6,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2)))=X1)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f7,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f8,plain,(
% 0.10/0.39 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.39 fof(f9,plain,(
% 0.10/0.39 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f10,plain,(
% 0.10/0.39 ~multiply(identity,a2)=a2),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 ![X0,X1,X2]: (double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2)))=X1)),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.10/0.39 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.39 fof(f16,plain,(
% 0.10/0.39 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.10/0.39 fof(f23,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(identity,double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(inverse(identity),X1)))=X0)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.10/0.39 fof(f26,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,inverse(X1))))=X1)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.10/0.39 fof(f32,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1))))=X1)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f9,f26])).
% 0.10/0.39 fof(f118,plain,(
% 0.10/0.39 ![X0]: (double_divide(identity,double_divide(double_divide(inverse(X0),inverse(identity)),double_divide(inverse(identity),identity)))=X0)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f8,f23])).
% 0.10/0.39 fof(f134,plain,(
% 0.10/0.39 ![X0]: (double_divide(identity,double_divide(double_divide(inverse(X0),inverse(identity)),inverse(inverse(identity))))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f118])).
% 0.10/0.39 fof(f135,plain,(
% 0.10/0.39 ![X0]: (double_divide(identity,double_divide(double_divide(inverse(X0),inverse(identity)),multiply(identity,identity)))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f16,f134])).
% 0.10/0.39 fof(f175,plain,(
% 0.10/0.39 ![X0]: (double_divide(double_divide(identity,X0),double_divide(identity,identity))=X0)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f32])).
% 0.10/0.39 fof(f186,plain,(
% 0.10/0.39 ![X0]: (double_divide(double_divide(identity,X0),inverse(identity))=X0)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f8,f175])).
% 0.10/0.39 fof(f193,plain,(
% 0.10/0.39 ![X0,X1]: (double_divide(X0,inverse(identity))=double_divide(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(inverse(identity),X1)))),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f23,f186])).
% 0.10/0.39 fof(f194,plain,(
% 0.10/0.39 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.10/0.39 inference(paramodulation,[status(thm)],[f9,f186])).
% 0.10/0.39 fof(f206,plain,(
% 0.10/0.39 ![X0]: (double_divide(identity,double_divide(X0,inverse(identity)))=X0)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f193,f23])).
% 0.10/0.40 fof(f211,plain,(
% 0.10/0.40 ![X0]: (double_divide(double_divide(identity,X0),identity)=X0)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f237,f186])).
% 0.10/0.40 fof(f223,plain,(
% 0.10/0.40 ![X0]: (double_divide(identity,double_divide(double_divide(inverse(X0),identity),multiply(identity,identity)))=X0)),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f237,f135])).
% 0.10/0.40 fof(f237,plain,(
% 0.10/0.40 identity=inverse(identity)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f9,f194])).
% 0.10/0.40 fof(f267,plain,(
% 0.10/0.40 ![X0]: (double_divide(identity,double_divide(X0,identity))=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f237,f206])).
% 0.10/0.40 fof(f268,plain,(
% 0.10/0.40 ![X0]: (double_divide(identity,inverse(X0))=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f8,f267])).
% 0.10/0.40 fof(f284,plain,(
% 0.10/0.40 ![X0]: (inverse(double_divide(identity,X0))=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f8,f211])).
% 0.10/0.40 fof(f288,plain,(
% 0.10/0.40 ![X0]: (multiply(X0,identity)=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f14,f284])).
% 0.10/0.40 fof(f311,plain,(
% 0.10/0.40 ![X0]: (double_divide(identity,double_divide(inverse(inverse(X0)),multiply(identity,identity)))=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f8,f223])).
% 0.10/0.40 fof(f312,plain,(
% 0.10/0.40 ![X0]: (double_divide(identity,double_divide(multiply(identity,X0),multiply(identity,identity)))=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f16,f311])).
% 0.10/0.40 fof(f313,plain,(
% 0.10/0.40 ![X0]: (double_divide(identity,double_divide(multiply(identity,X0),identity))=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f288,f312])).
% 0.10/0.40 fof(f314,plain,(
% 0.10/0.40 ![X0]: (double_divide(identity,inverse(multiply(identity,X0)))=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f8,f313])).
% 0.10/0.40 fof(f318,plain,(
% 0.10/0.40 ~a2=a2),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f326,f10])).
% 0.10/0.40 fof(f326,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f268,f314])).
% 0.10/0.40 fof(f371,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(trivial_equality_resolution,[status(thm)],[f318])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.055277 seconds
% 0.10/0.42 % CPU time: 0.265987 seconds
% 0.10/0.42 % Total memory used: 104.320 MB
% 0.10/0.42 % Net memory used: 104.155 MB
%------------------------------------------------------------------------------