%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP497-1 : 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 : n013.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 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP497-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n013.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sun Sep 20 20:14:12 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.10/5.38 % Refutation found
% 0.10/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.38 fof(f1,axiom,(
% 0.10/5.38 (![A,B,C]: (double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),double_divide(double_divide(B,double_divide(C,A)),identity)) = C ))),
% 0.10/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.38 fof(f2,axiom,(
% 0.10/5.38 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.10/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.38 fof(f3,axiom,(
% 0.10/5.38 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.10/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.38 fof(f4,axiom,(
% 0.10/5.38 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.10/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.38 fof(f5,negated_conjecture,(
% 0.10/5.38 multiply(identity,a2) != a2 ),
% 0.10/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/5.38 fof(f6,plain,(
% 0.10/5.38 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity))=X2)),
% 0.10/5.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/5.38 fof(f7,plain,(
% 0.10/5.38 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.10/5.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/5.38 fof(f8,plain,(
% 0.10/5.38 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.10/5.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/5.38 fof(f9,plain,(
% 0.10/5.38 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.10/5.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/5.38 fof(f10,plain,(
% 0.10/5.38 ~multiply(identity,a2)=a2),
% 0.10/5.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/5.38 fof(f13,plain,(
% 0.10/5.38 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),multiply(double_divide(X2,X0),X1))=X2)),
% 0.10/5.38 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.10/5.38 fof(f14,plain,(
% 0.10/5.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.10/5.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/5.38 fof(f15,plain,(
% 0.10/5.38 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1))=X2)),
% 0.10/5.38 inference(forward_demodulation,[status(thm)],[f8,f13])).
% 0.10/5.38 fof(f16,plain,(
% 0.10/5.38 ![X0,X1,X2,X3]: (double_divide(double_divide(identity,double_divide(multiply(double_divide(X0,X1),X2),inverse(X3))),multiply(X0,X3))=double_divide(identity,double_divide(X1,inverse(X2))))),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.10/5.38 fof(f151,plain,(
% 0.10/5.38 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.10/5.38 fof(f152,plain,(
% 0.10/5.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(identity,inverse(X0))),multiply(inverse(X1),X0))=X1)),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.10/5.38 fof(f153,plain,(
% 0.10/5.38 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f14,f9])).
% 0.10/5.38 fof(f164,plain,(
% 0.10/5.38 ![X0,X1,X2]: (double_divide(double_divide(identity,double_divide(multiply(identity,X0),inverse(X1))),multiply(X2,X1))=double_divide(identity,double_divide(inverse(X2),inverse(X0))))),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.10/5.38 fof(f168,plain,(
% 0.10/5.38 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.10/5.38 fof(f169,plain,(
% 0.10/5.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),multiply(identity,X1))=X0)),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.10/5.38 fof(f216,plain,(
% 0.10/5.38 identity=inverse(identity)),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f15,f153])).
% 0.10/5.38 fof(f244,plain,(
% 0.10/5.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/5.38 inference(backward_demodulation,[status(thm)],[f216,f168])).
% 0.10/5.38 fof(f283,plain,(
% 0.10/5.38 ![X0,X1]: (double_divide(double_divide(identity,double_divide(multiply(identity,X0),inverse(X1))),multiply(identity,X1))=inverse(X0))),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f151,f169])).
% 0.10/5.38 fof(f304,plain,(
% 0.10/5.38 ![X0]: (double_divide(identity,double_divide(inverse(identity),inverse(X0)))=inverse(X0))),
% 0.10/5.38 inference(forward_demodulation,[status(thm)],[f164,f283])).
% 0.10/5.38 fof(f305,plain,(
% 0.10/5.38 ![X0,X1]: (double_divide(inverse(X0),multiply(inverse(X1),X0))=X1)),
% 0.10/5.38 inference(backward_demodulation,[status(thm)],[f314,f152])).
% 0.10/5.38 fof(f314,plain,(
% 0.10/5.38 ![X0]: (double_divide(identity,double_divide(identity,inverse(X0)))=inverse(X0))),
% 0.10/5.38 inference(forward_demodulation,[status(thm)],[f216,f304])).
% 0.10/5.38 fof(f412,plain,(
% 0.10/5.38 ![X0]: (double_divide(inverse(X0),identity)=X0)),
% 0.10/5.38 inference(paramodulation,[status(thm)],[f244,f305])).
% 0.10/5.38 fof(f431,plain,(
% 0.10/5.38 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/5.38 inference(backward_demodulation,[status(thm)],[f432,f151])).
% 0.10/5.38 fof(f432,plain,(
% 0.10/5.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/5.38 inference(forward_demodulation,[status(thm)],[f8,f412])).
% 0.10/5.38 fof(f442,plain,(
% 0.10/5.38 ~a2=a2),
% 0.10/5.38 inference(backward_demodulation,[status(thm)],[f431,f10])).
% 0.10/5.38 fof(f475,plain,(
% 0.10/5.38 $false),
% 0.10/5.38 inference(trivial_equality_resolution,[status(thm)],[f442])).
% 0.10/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.42 % Elapsed time: 0.044632 seconds
% 0.14/5.42 % CPU time: 0.144163 seconds
% 0.14/5.42 % Total memory used: 51.682 MB
% 0.14/5.42 % Net memory used: 51.615 MB
%------------------------------------------------------------------------------