%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP012-4 : TPTP v9.3.1. Released v1.0.0.
% 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 12:35:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP012-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:51:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 (![X]: (multiply(X,identity) = X ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,axiom,(
% 0.09/0.37 (![X]: (multiply(X,inverse(X)) = identity ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,negated_conjecture,(
% 0.09/0.37 inverse(multiply(a,b)) != multiply(inverse(b),inverse(a)) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f7,plain,(
% 0.09/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f8,plain,(
% 0.09/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ~inverse(multiply(a,b))=multiply(inverse(b),inverse(a))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f7,f30])).
% 0.09/0.37 fof(f119,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,multiply(X1,inverse(multiply(X0,X1))))=identity)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.09/0.37 fof(f176,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=multiply(inverse(X1),identity))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f119,f31])).
% 0.09/0.37 fof(f202,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f10,f176])).
% 0.09/0.37 fof(f306,plain,(
% 0.09/0.37 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f202,f31])).
% 0.09/0.37 fof(f320,plain,(
% 0.09/0.37 ~inverse(multiply(a,b))=inverse(multiply(a,b))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f306,f12])).
% 0.09/0.37 fof(f322,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(trivial_equality_resolution,[status(thm)],[f320])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 3.79/1.60 % Elapsed time: 1.026320 seconds
% 3.79/1.60 % CPU time: 0.038953 seconds
% 3.79/1.60 % Total memory used: 903.632 KB
% 3.79/1.60 % Net memory used: 890.688 KB
%------------------------------------------------------------------------------