%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP577-1 : 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 : n002.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 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP577-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:19:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f1,axiom,(
% 0.09/0.38 (![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 ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,axiom,(
% 0.09/0.38 (![A,B]: (multiply(A,B) = double_divide(double_divide(B,A),identity) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,axiom,(
% 0.09/0.38 (![A]: (inverse(A) = double_divide(A,identity) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f4,axiom,(
% 0.09/0.38 (![A]: (identity = double_divide(A,inverse(A)) ))),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f5,negated_conjecture,(
% 0.09/0.38 multiply(inverse(a1),a1) != identity ),
% 0.09/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f6,plain,(
% 0.09/0.38 ![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)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f7,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,X1)=double_divide(double_divide(X1,X0),identity))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f8,plain,(
% 0.09/0.38 ![X0]: (inverse(X0)=double_divide(X0,identity))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.38 fof(f9,plain,(
% 0.09/0.38 ![X0]: (identity=double_divide(X0,inverse(X0)))),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.38 fof(f10,plain,(
% 0.09/0.38 ~multiply(inverse(a1),a1)=identity),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.38 fof(f14,plain,(
% 0.09/0.38 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),inverse(identity))=X2)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.09/0.38 fof(f15,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.38 fof(f16,plain,(
% 0.09/0.38 ![X0,X1,X2]: (double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity))=X2)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.09/0.38 fof(f17,plain,(
% 0.09/0.38 ![X0]: (multiply(inverse(X0),X0)=inverse(identity))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.09/0.38 fof(f19,plain,(
% 0.09/0.38 ![X0,X1]: (identity=double_divide(double_divide(X0,X1),multiply(X1,X0)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f15,f9])).
% 0.09/0.38 fof(f20,plain,(
% 0.09/0.38 ~inverse(identity)=identity),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f17,f10])).
% 0.09/0.38 fof(f47,plain,(
% 0.09/0.38 ![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)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.09/0.38 fof(f49,plain,(
% 0.09/0.38 ![X0,X1]: (double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity))=multiply(X0,X1))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f19,f16])).
% 0.09/0.38 fof(f66,plain,(
% 0.09/0.38 ![X0]: (double_divide(double_divide(X0,identity),inverse(identity))=multiply(X0,identity))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f9,f49])).
% 0.09/0.38 fof(f69,plain,(
% 0.09/0.38 ![X0,X1]: (double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(multiply(X1,X0),inverse(X1))),inverse(identity))=inverse(identity))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f49,f16])).
% 0.09/0.38 fof(f74,plain,(
% 0.09/0.38 ![X0]: (double_divide(inverse(X0),inverse(identity))=multiply(X0,identity))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f8,f66])).
% 0.09/0.38 fof(f78,plain,(
% 0.09/0.38 ![X0,X1]: (double_divide(multiply(X0,X1),inverse(identity))=multiply(double_divide(X1,X0),identity))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f15,f74])).
% 0.09/0.38 fof(f93,plain,(
% 0.09/0.38 ![X0,X1]: (double_divide(double_divide(inverse(X0),inverse(identity)),inverse(identity))=double_divide(multiply(X1,X0),inverse(X1)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f49,f47])).
% 0.09/0.38 fof(f111,plain,(
% 0.09/0.38 ![X0,X1]: (double_divide(multiply(X0,identity),inverse(identity))=double_divide(multiply(X1,X0),inverse(X1)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f74,f93])).
% 0.09/0.39 fof(f112,plain,(
% 0.09/0.39 ![X0]: (double_divide(double_divide(double_divide(identity,inverse(X0)),multiply(double_divide(identity,X0),identity)),inverse(identity))=inverse(identity))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f113,f69])).
% 0.09/0.39 fof(f113,plain,(
% 0.09/0.39 ![X0,X1]: (multiply(double_divide(identity,X0),identity)=double_divide(multiply(X1,X0),inverse(X1)))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f78,f111])).
% 0.09/0.39 fof(f252,plain,(
% 0.09/0.39 ![X0]: (multiply(double_divide(identity,X0),identity)=multiply(double_divide(X0,identity),identity))),
% 0.09/0.39 inference(paramodulation,[status(thm)],[f78,f113])).
% 0.09/0.39 fof(f276,plain,(
% 0.09/0.39 ![X0]: (double_divide(double_divide(double_divide(identity,inverse(X0)),multiply(inverse(X0),identity)),inverse(identity))=inverse(identity))),
% 0.09/0.39 inference(backward_demodulation,[status(thm)],[f277,f112])).
% 0.09/0.39 fof(f277,plain,(
% 0.09/0.39 ![X0]: (multiply(double_divide(identity,X0),identity)=multiply(inverse(X0),identity))),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f8,f252])).
% 0.09/0.39 fof(f302,plain,(
% 0.09/0.39 double_divide(identity,inverse(identity))=inverse(identity)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f19,f276])).
% 0.09/0.39 fof(f303,plain,(
% 0.09/0.39 identity=inverse(identity)),
% 0.09/0.39 inference(forward_demodulation,[status(thm)],[f9,f302])).
% 0.09/0.39 fof(f304,plain,(
% 0.09/0.39 $false),
% 0.09/0.39 inference(forward_subsumption_resolution,[status(thm)],[f303,f20])).
% 0.09/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.40 % Elapsed time: 0.031484 seconds
% 0.09/0.40 % CPU time: 0.101145 seconds
% 0.09/0.40 % Total memory used: 5.816 MB
% 0.09/0.40 % Net memory used: 5.801 MB
%------------------------------------------------------------------------------