%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP569-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP569-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:16:48 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (![A,B,C]: (double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,axiom,(
% 0.08/0.38 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,axiom,(
% 0.08/0.38 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f5,negated_conjecture,(
% 0.08/0.38 multiply(inverse(a1),a1) != identity ),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f6,plain,(
% 0.08/0.38 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity))=X1)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.38 fof(f7,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f8,plain,(
% 0.08/0.38 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.38 fof(f9,plain,(
% 0.08/0.38 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.38 fof(f10,plain,(
% 0.08/0.38 ~multiply(inverse(a1),a1)=identity),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.38 fof(f14,plain,(
% 0.08/0.38 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity))=X1)),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.08/0.38 fof(f15,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.08/0.38 fof(f16,plain,(
% 0.08/0.38 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity))=X1)),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.08/0.38 fof(f17,plain,(
% 0.08/0.38 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.08/0.38 fof(f20,plain,(
% 0.08/0.38 ~inverse(identity)=identity),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f17,f10])).
% 0.08/0.38 fof(f47,plain,(
% 0.08/0.38 ![X0,X1,X2,X3]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),inverse(inverse(identity)))),inverse(identity))=X3)),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.08/0.38 fof(f49,plain,(
% 0.08/0.38 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.08/0.38 fof(f50,plain,(
% 0.08/0.38 ![X0,X1]: (double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity))=X1)),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.08/0.38 fof(f56,plain,(
% 0.08/0.38 ![X0,X1]: (double_divide(double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))),inverse(identity))=X1)),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f8,f49])).
% 0.08/0.38 fof(f59,plain,(
% 0.08/0.38 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=X0)),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f9,f56])).
% 0.08/0.38 fof(f66,plain,(
% 0.08/0.38 ![X0]: (double_divide(inverse(X0),inverse(identity))=X0)),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f8,f59])).
% 0.08/0.38 fof(f90,plain,(
% 0.08/0.38 ![X0,X1,X2]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,inverse(inverse(identity)))),inverse(identity))=inverse(X2))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f66,f47])).
% 0.08/0.38 fof(f93,plain,(
% 0.08/0.38 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,inverse(inverse(identity)))),inverse(identity))=double_divide(X3,double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X4))))),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f16,f47])).
% 0.08/0.39 fof(f116,plain,(
% 0.08/0.39 ![X0,X1,X2]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))))),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f90,f93])).
% 0.08/0.39 fof(f129,plain,(
% 0.08/0.39 ![X0]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=inverse(X0))),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f66,f50])).
% 0.08/0.39 fof(f130,plain,(
% 0.08/0.39 ![X0,X1]: (double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity))=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))))),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f50,f50])).
% 0.08/0.39 fof(f138,plain,(
% 0.08/0.39 ![X0,X1]: (inverse(X0)=double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))))),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f129,f130])).
% 0.08/0.39 fof(f209,plain,(
% 0.08/0.39 ![X0]: (inverse(inverse(X0))=double_divide(identity,double_divide(X0,inverse(identity))))),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f66,f138])).
% 0.08/0.39 fof(f228,plain,(
% 0.08/0.39 inverse(inverse(identity))=double_divide(identity,identity)),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f9,f209])).
% 0.08/0.39 fof(f231,plain,(
% 0.08/0.39 ![X0]: (inverse(identity)=double_divide(X0,double_divide(inverse(inverse(X0)),inverse(inverse(identity)))))),
% 0.08/0.39 inference(paramodulation,[status(thm)],[f209,f116])).
% 0.08/0.39 fof(f248,plain,(
% 0.08/0.39 inverse(inverse(identity))=inverse(identity)),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f8,f228])).
% 0.08/0.39 fof(f252,plain,(
% 0.08/0.39 ![X0]: (inverse(identity)=double_divide(X0,double_divide(inverse(inverse(X0)),inverse(identity))))),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f248,f231])).
% 0.08/0.39 fof(f253,plain,(
% 0.08/0.39 ![X0]: (inverse(identity)=double_divide(X0,inverse(X0)))),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f66,f252])).
% 0.08/0.39 fof(f254,plain,(
% 0.08/0.39 inverse(identity)=identity),
% 0.08/0.39 inference(forward_demodulation,[status(thm)],[f9,f253])).
% 0.08/0.39 fof(f255,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f254,f20])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.41 % Elapsed time: 0.040545 seconds
% 0.08/0.41 % CPU time: 0.096066 seconds
% 0.08/0.41 % Total memory used: 3.270 MB
% 0.08/0.41 % Net memory used: 3.245 MB
%------------------------------------------------------------------------------